%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM853+2 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n008.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 08:13:59 AM UTC 2026 % Result : Theorem 5.49s 8.06s % Output : CNFRefutation 5.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM853+2 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/5.37 % Computer : n008.cluster.edu % 0.09/5.37 % Model : x86_64 x86_64 % 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/5.37 % Memory : 8046.5625MB % 0.09/5.37 % OS : Linux 6.8.0-71-generic % 0.09/5.37 % CPULimit : 300 % 0.09/5.37 % WCLimit : 300 % 0.09/5.37 % DateTime : Sat Sep 26 04:13:59 UTC 2026 % 0.09/5.37 % CPUTime : % 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 5.49/8.06 % SZS status Theorem for theBenchmark.p % 5.49/8.06 % SZS output start CNFRefutation for theBenchmark.p % 5.49/8.06 fof(holds(antec(307), 489, 0), axiom, greater(vmul(vd486,vd487),vmul(vd488,vd487))). % 5.49/8.06 fof(ass(cond(281, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2))). % 5.49/8.06 fof(ass(cond(270, 0), 0), axiom, ! [X0] : ! [X1] : vmul(X0,X1) = vmul(X1,X0)). % 5.49/8.06 fof(ass(cond(147, 0), 0), axiom, ! [X0] : ! [X1] : ((less(X0,X1) => greater(X1,X0)))). % 5.49/8.06 fof(ass(cond(140, 0), 0), axiom, ! [X0] : ! [X1] : ((greater(X0,X1) => less(X1,X0)))). % 5.49/8.06 fof(ass(cond(goal(130), 0), 0), axiom, ! [X0] : ! [X1] : ((X0 = X1 | (greater(X0,X1) | less(X0,X1))))). % 5.49/8.06 fof(ass(cond(goal(130), 0), 1), axiom, ! [X0] : ! [X1] : ((X0 != X1 | ~less(X0,X1)))). % 5.49/8.06 fof(ass(cond(goal(130), 0), 2), axiom, ! [X0] : ! [X1] : ((~greater(X0,X1) | ~less(X0,X1)))). % 5.49/8.06 fof(def(cond(conseq(axiom(3)), 12), 1), axiom, ! [X0] : ! [X1] : ((less(X1,X0) <=> ? [X2] : X0 = vplus(X1,X2)))). % 5.49/8.06 fof(holds(conseq(307), 490, 0), conjecture, greater(vd486,vd488)). % 5.49/8.06 fof(negated_conjecture, negated_conjecture, ~greater(vd486,vd488), inference(negate_conjecture, [status(cth)], [holds(conseq(307), 490, 0)])). % 5.49/8.06 cnf(c0, plain, greater(vmul(vd486,vd487),vmul(vd488,vd487)), inference(clausification, [status(esa)], [holds(antec(307), 489, 0)])). % 5.49/8.06 cnf(c5, plain, vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)), inference(clausification, [status(esa)], [ass(cond(281, 0), 0)])). % 5.49/8.06 cnf(c6, plain, vmul(X0,X1) = vmul(X1,X0), inference(clausification, [status(esa)], [ass(cond(270, 0), 0)])). % 5.49/8.06 cnf(c15, plain, ~less(X0,X1) | greater(X1,X0), inference(clausification, [status(esa)], [ass(cond(147, 0), 0)])). % 5.49/8.06 cnf(c16, plain, ~greater(X0,X1) | less(X1,X0), inference(clausification, [status(esa)], [ass(cond(140, 0), 0)])). % 5.49/8.06 cnf(c17, plain, X0 = X1 | greater(X0,X1) | less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 0)])). % 5.49/8.06 cnf(c18, plain, X0 != X1 | ~less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 1)])). % 5.49/8.06 cnf(c19, plain, ~greater(X0,X1) | ~less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 2)])). % 5.49/8.06 cnf(c21, plain, ~less(X0,X1) | X1 = vplus(X0,sK45(X1,X0)), inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 12), 1)])). % 5.49/8.06 cnf(c22, plain, less(X0,X1) | X1 != vplus(X0,X2), inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 12), 1)])). % 5.49/8.06 cnf(c40, plain, ~greater(vd486,vd488), inference(clausification, [status(esa)], [negated_conjecture])). % 5.49/8.06 cnf(d0, plain, greater(vmul(vd486,vd487),vmul(vd487,vd488)), inference(demodulation, [status(thm)], [c0,c6])). % 5.49/8.06 cnf(d1, plain, less(X0,vplus(X0,X1)), inference(equality_resolution, [status(thm)], [c22])). % 5.49/8.06 cnf(d2, plain, less(vmul(X0,X1),vmul(X0,vplus(X1,X2))), inference(superposition, [status(thm)], [c5,d1])). % 5.49/8.06 cnf(d3, plain, X0 = X1 | greater(X0,X1) | greater(X1,X0), inference(resolution, [status(thm)], [c17,c15])). % 5.49/8.06 cnf(d4, plain, vd488 = vd486 | greater(vd488,vd486), inference(resolution, [status(thm)], [d3,c40])). % 5.49/8.06 cnf(d5, plain, vd488 = vd486 | less(vd486,vd488), inference(resolution, [status(thm)], [d4,c16])). % 5.49/8.06 cnf(d6, plain, vd488 = vd486 | vd488 = vplus(vd486,sK45(vd488,vd486)), inference(resolution, [status(thm)], [d5,c21])). % 5.49/8.06 cnf(d7, plain, less(vmul(X0,vd486),vmul(X0,vd488)) | vd488 = vd486, inference(superposition, [status(thm)], [d6,d2])). % 5.49/8.06 cnf(d8, plain, vd488 = vd486 | ~greater(vmul(X0,vd486),vmul(X0,vd488)), inference(resolution, [status(thm)], [d7,c19])). % 5.49/8.06 cnf(d9, plain, ~greater(vmul(vd486,X0),vmul(X0,vd488)) | vd488 = vd486, inference(superposition, [status(thm)], [c6,d8])). % 5.49/8.06 cnf(d10, plain, vd488 = vd486, inference(resolution, [status(thm)], [d9,d0])). % 5.49/8.06 cnf(d11, plain, less(vmul(vd488,vd487),vmul(vd486,vd487)), inference(resolution, [status(thm)], [c16,c0])). % 5.49/8.06 cnf(d12, plain, less(vmul(vd487,vd488),vmul(vd486,vd487)), inference(demodulation, [status(thm)], [d11,c6])). % 5.49/8.06 cnf(d13, plain, less(vmul(vd487,vd486),vmul(vd486,vd487)), inference(demodulation, [status(thm)], [d12,d10])). % 5.49/8.06 cnf(d14, plain, less(vmul(vd486,vd487),vmul(vd486,vd487)), inference(demodulation, [status(thm)], [d13,c6])). % 5.49/8.06 cnf(d15, plain, ~less(X0,X0), inference(equality_resolution, [status(thm)], [c18])). % 5.49/8.06 cnf(d16, plain, $false, inference(resolution, [status(thm)], [d15,d14])). % 5.49/8.06 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------