%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM845+1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Sun Sep 27 08:13:57 AM UTC 2026 % Result : Theorem 13.80s 2.07s % Output : CNFRefutation 13.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM845+1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.10/0.36 % Computer : n003.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 26 04:14:23 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.80/2.07 % SZS status Theorem for theBenchmark.p % 13.80/2.07 % SZS output start CNFRefutation for theBenchmark.p % 13.80/2.07 fof(ass(cond(conseq(263), 1), 0), axiom, ! [X0] : ((vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) => vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0))))). % 13.80/2.07 fof(ass(cond(conseq(263), 1), 1), axiom, ! [X0] : ((vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) => vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))) = vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0))))). % 13.80/2.07 fof(ass(cond(conseq(263), 1), 2), axiom, ! [X0] : ((vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) => vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0)))))). % 13.80/2.07 fof(ass(cond(conseq(263), 1), 3), axiom, ! [X0] : ((vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) => vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)) = vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0)))))). % 13.80/2.07 fof(ass(cond(conseq(263), 1), 4), axiom, ! [X0] : ((vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) => vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) = vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0))))). % 13.80/2.07 fof(ass(cond(conseq(263), 1), 5), axiom, ! [X0] : ((vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) => vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411)))))). % 13.80/2.07 fof(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))), axiom, ! [X0] : ! [X1] : ((vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) & vmul(X0,v1) = X0))). % 13.80/2.07 fof(qu(ind(267), imp(267)), conjecture, ! [X0] : ((vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) => vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0))))). % 13.80/2.07 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) => vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)))), inference(negate_conjecture, [status(cth)], [qu(ind(267), imp(267))])). % 13.80/2.07 cnf(c0, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)), inference(clausification, [status(esa)], [ass(cond(conseq(263), 1), 0)])). % 13.80/2.07 cnf(c1, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))) = vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0)), inference(clausification, [status(esa)], [ass(cond(conseq(263), 1), 1)])). % 13.80/2.07 cnf(c2, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))), inference(clausification, [status(esa)], [ass(cond(conseq(263), 1), 2)])). % 13.80/2.07 cnf(c3, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)) = vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))), inference(clausification, [status(esa)], [ass(cond(conseq(263), 1), 3)])). % 13.80/2.07 cnf(c4, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) = vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)), inference(clausification, [status(esa)], [ass(cond(conseq(263), 1), 4)])). % 13.80/2.07 cnf(c5, plain, vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) | vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))), inference(clausification, [status(esa)], [ass(cond(conseq(263), 1), 5)])). % 13.80/2.07 cnf(c12, plain, vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0), inference(clausification, [status(esa)], [qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))])). % 13.80/2.07 cnf(c67, plain, vmul(vsucc(vd411),sK121) = vplus(vmul(vd411,sK121),sK121), inference(clausification, [status(esa)], [negated_conjecture])). % 13.80/2.07 cnf(c68, plain, vmul(vsucc(vd411),vsucc(sK121)) != vplus(vmul(vd411,vsucc(sK121)),vsucc(sK121)), inference(clausification, [status(esa)], [negated_conjecture])). % 13.80/2.07 cnf(d0, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vplus(vplus(vmul(vd411,sK121),vd411),vsucc(sK121)) = vplus(vmul(vd411,vsucc(sK121)),vsucc(sK121)), inference(superposition, [status(thm)], [c67,c0])). % 13.80/2.07 cnf(d1, plain, vplus(vplus(vmul(vd411,sK121),vd411),vsucc(sK121)) = vplus(vmul(vd411,vsucc(sK121)),vsucc(sK121)), inference(equality_resolution, [status(thm)], [d0])). % 13.80/2.07 cnf(d2, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vplus(vmul(vd411,sK121),vplus(vd411,vsucc(sK121))) = vplus(vplus(vmul(vd411,sK121),vd411),vsucc(sK121)), inference(superposition, [status(thm)], [c67,c1])). % 13.80/2.07 cnf(d3, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vplus(vmul(vd411,sK121),vplus(vd411,vsucc(sK121))) = vplus(vmul(vd411,vsucc(sK121)),vsucc(sK121)), inference(demodulation, [status(thm)], [d2,d1])). % 13.80/2.07 cnf(d4, plain, vplus(vmul(vd411,sK121),vplus(vd411,vsucc(sK121))) = vplus(vmul(vd411,vsucc(sK121)),vsucc(sK121)), inference(equality_resolution, [status(thm)], [d3])). % 13.80/2.07 cnf(d5, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vplus(vmul(vd411,sK121),vsucc(vplus(vd411,sK121))) = vplus(vmul(vd411,sK121),vplus(vd411,vsucc(sK121))), inference(superposition, [status(thm)], [c67,c2])). % 13.80/2.07 cnf(d6, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vplus(vmul(vd411,sK121),vsucc(vplus(vd411,sK121))) = vplus(vmul(vd411,vsucc(sK121)),vsucc(sK121)), inference(demodulation, [status(thm)], [d5,d4])). % 13.80/2.07 cnf(d7, plain, vplus(vmul(vd411,sK121),vsucc(vplus(vd411,sK121))) = vplus(vmul(vd411,vsucc(sK121)),vsucc(sK121)), inference(equality_resolution, [status(thm)], [d6])). % 13.80/2.07 cnf(d8, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vplus(vmul(vd411,sK121),vplus(vsucc(vd411),sK121)) = vplus(vmul(vd411,sK121),vsucc(vplus(vd411,sK121))), inference(superposition, [status(thm)], [c67,c3])). % 13.80/2.07 cnf(d9, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vplus(vmul(vd411,sK121),vplus(vsucc(vd411),sK121)) = vplus(vmul(vd411,vsucc(sK121)),vsucc(sK121)), inference(demodulation, [status(thm)], [d8,d7])). % 13.80/2.07 cnf(d10, plain, vplus(vmul(vd411,sK121),vplus(vsucc(vd411),sK121)) = vplus(vmul(vd411,vsucc(sK121)),vsucc(sK121)), inference(equality_resolution, [status(thm)], [d9])). % 13.80/2.07 cnf(d11, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vplus(vmul(vd411,sK121),vplus(sK121,vsucc(vd411))) = vplus(vmul(vd411,sK121),vplus(vsucc(vd411),sK121)), inference(superposition, [status(thm)], [c67,c4])). % 13.80/2.07 cnf(d12, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vplus(vmul(vd411,sK121),vplus(sK121,vsucc(vd411))) = vplus(vmul(vd411,vsucc(sK121)),vsucc(sK121)), inference(demodulation, [status(thm)], [d11,d10])). % 13.80/2.07 cnf(d13, plain, vplus(vmul(vd411,sK121),vplus(sK121,vsucc(vd411))) = vplus(vmul(vd411,vsucc(sK121)),vsucc(sK121)), inference(equality_resolution, [status(thm)], [d12])). % 13.80/2.07 cnf(d14, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vplus(vplus(vmul(vd411,sK121),sK121),vsucc(vd411)) = vplus(vmul(vd411,sK121),vplus(sK121,vsucc(vd411))), inference(superposition, [status(thm)], [c67,c5])). % 13.80/2.07 cnf(d15, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vplus(vmul(vsucc(vd411),sK121),vsucc(vd411)) = vplus(vmul(vd411,sK121),vplus(sK121,vsucc(vd411))), inference(demodulation, [status(thm)], [d14,c67])). % 13.80/2.07 cnf(d16, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vmul(vsucc(vd411),vsucc(sK121)) = vplus(vmul(vd411,sK121),vplus(sK121,vsucc(vd411))), inference(demodulation, [status(thm)], [d15,c12])). % 13.80/2.07 cnf(d17, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121) | vmul(vsucc(vd411),vsucc(sK121)) = vplus(vmul(vd411,vsucc(sK121)),vsucc(sK121)), inference(demodulation, [status(thm)], [d16,d13])). % 13.80/2.07 cnf(d18, plain, vmul(vsucc(vd411),sK121) != vmul(vsucc(vd411),sK121), inference(resolution, [status(thm)], [c68,d17])). % 13.80/2.07 cnf(d19, plain, $false, inference(equality_resolution, [status(thm)], [d18])). % 13.80/2.07 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------