The Theory of Inventive Problem Solving (TRIZ) is a widely used methodology for systematic innovation, guided by the principle of the Ideal Final Result (IFR), which supports problem-solving through contradiction resolution and functional optimization. However, in contexts requiring paradigm shifts, this reliance on predefined functional goals can limit access to radically novel solution spaces. This paper introduces an extended model, TRIZ + Negation (TRIZ-N), which integrates classical TRIZ with the principle of cognitive negation. At its core lies the Negation Operator, a deliberate suspension of both the problem function and the pursuit of ideality, enabling the emergence of new framings and previously inaccessible domains of innovation. We formalize this transformation mathematically and propose a recursive loop: function negation, emergence, TRIZ structuring, and post-insight reframing of IFR. A simulation framework compares TRIZ and TRIZ-N using evolutionary algorithms and semantic exploration tools. Results show TRIZ-N leads to higher novelty, function redefinition, and cross-domain innovation, with greater cognitive latency. A case study on replacing welding with self-assembling, room-temperature bonding materials illustrates TRIZ-N’s practical potential. This confirms the value of beginning not with refined solutions, but with the suspension of problem assumptions. TRIZ-N redefines IFR as a reflective outcome and opens a new frontier in inventive methodology.