%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM850+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 08:13:58 AM UTC 2026 % Result : Theorem 25.56s 8.66s % Output : CNFRefutation 25.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM850+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 % 0.09/5.36 % Computer : n008.cluster.edu % 0.09/5.36 % Model : x86_64 x86_64 % 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/5.36 % Memory : 8046.5625MB % 0.09/5.36 % OS : Linux 6.8.0-71-generic % 0.09/5.36 % CPULimit : 300 % 0.09/5.36 % WCLimit : 300 % 0.09/5.36 % DateTime : Sat Sep 26 04:14:15 UTC 2026 % 0.09/5.36 % CPUTime : % 0.09/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 25.56/8.66 % SZS status Theorem for theBenchmark.p % 25.56/8.66 % SZS output start CNFRefutation for theBenchmark.p % 25.56/8.66 fof(holds(antec(302), 472, 0), axiom, greater(vd470,vd471)). % 25.56/8.66 fof(ass(cond(189, 0), 0), axiom, ! [X0] : ! [X1] : greater(vplus(X0,X1),X0)). % 25.56/8.66 fof(ass(cond(140, 0), 0), axiom, ! [X0] : ! [X1] : ((greater(X0,X1) => less(X1,X0)))). % 25.56/8.66 fof(ass(cond(goal(130), 0), 1), axiom, ! [X0] : ! [X1] : ((X0 != X1 | ~less(X0,X1)))). % 25.56/8.66 fof(ass(cond(goal(130), 0), 2), axiom, ! [X0] : ! [X1] : ((~greater(X0,X1) | ~less(X0,X1)))). % 25.56/8.66 fof(ass(cond(goal(88), 0), 0), axiom, ! [X0] : ! [X1] : ((X0 = X1 | (? [X2] : X0 = vplus(X1,X2) | ? [X3] : X1 = vplus(X0,X3))))). % 25.56/8.66 fof(qe(conseq_conjunct1(conseq(302))), conjecture, ? [X0] : vd470 = vplus(vd471,X0)). % 25.56/8.66 fof(negated_conjecture, negated_conjecture, ~? [X0] : vd470 = vplus(vd471,X0), inference(negate_conjecture, [status(cth)], [qe(conseq_conjunct1(conseq(302)))])). % 25.56/8.66 cnf(c0, plain, greater(vd470,vd471), inference(clausification, [status(esa)], [holds(antec(302), 472, 0)])). % 25.56/8.66 cnf(c21, plain, greater(vplus(X0,X1),X0), inference(clausification, [status(esa)], [ass(cond(189, 0), 0)])). % 25.56/8.66 cnf(c34, plain, ~greater(X0,X1) | less(X1,X0), inference(clausification, [status(esa)], [ass(cond(140, 0), 0)])). % 25.56/8.66 cnf(c36, plain, X0 != X1 | ~less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 1)])). % 25.56/8.66 cnf(c37, plain, ~greater(X0,X1) | ~less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 2)])). % 25.56/8.66 cnf(c43, plain, X0 = X1 | X0 = vplus(X1,sK87(X0,X1)) | X1 = vplus(X0,sK88(X0,X1)), inference(clausification, [status(esa)], [ass(cond(goal(88), 0), 0)])). % 25.56/8.66 cnf(c60, plain, vd470 != vplus(vd471,X0), inference(clausification, [status(esa)], [negated_conjecture])). % 25.56/8.66 cnf(d0, plain, vd470 != X0 | vd471 = X0 | vd471 = vplus(X0,sK87(vd471,X0)), inference(superposition, [status(thm)], [c43,c60])). % 25.56/8.66 cnf(d1, plain, vd471 = vd470 | vd471 = vplus(vd470,sK87(vd471,vd470)), inference(equality_resolution, [status(thm)], [d0])). % 25.56/8.66 cnf(d2, plain, greater(vd471,vd470) | vd471 = vd470, inference(superposition, [status(thm)], [d1,c21])). % 25.56/8.66 cnf(d3, plain, less(vd471,vd470), inference(resolution, [status(thm)], [c34,c0])). % 25.56/8.66 cnf(d4, plain, ~greater(vd471,vd470), inference(resolution, [status(thm)], [c37,d3])). % 25.56/8.66 cnf(d5, plain, vd471 = vd470, inference(resolution, [status(thm)], [d4,d2])). % 25.56/8.66 cnf(d6, plain, less(vd470,vd470), inference(demodulation, [status(thm)], [d3,d5])). % 25.56/8.66 cnf(d7, plain, ~less(X0,X0), inference(equality_resolution, [status(thm)], [c36])). % 25.56/8.66 cnf(d8, plain, $false, inference(resolution, [status(thm)], [d7,d6])). % 25.56/8.66 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------