%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM852+2 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 12:29:19 PM UTC 2025
% Result : Theorem 132.08s 16.92s
% Output : CNFRefutation 132.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM852+2 : TPTP v9.0.0. Released v4.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 14:15:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 3.56/0.83 % launching worker at depth: 12
% 132.08/16.92 % SZS status Theorem for theBenchmark
% 132.08/16.92 % SZS output start CNFRefutation
% 132.08/16.92 fof('holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)', plain, greater(vmul(vd481,vd469),vmul(vd480,vd469)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)')).
% 132.08/16.92 fof('holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)'_negated, plain, ~(greater(vmul(vd481,vd469),vmul(vd480,vd469))), inference(negate_conjecture, [status(cth)], ['holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)'])).
% 132.08/16.92 cnf(0, plain, ~greater(vmul(vd481,vd469),vmul(vd480,vd469)), inference(cnf, [status(esa)], ['holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)'_negated])).
% 132.08/16.92 cnf(l0, plain, ~greater(vmul(vd481,vd469),vmul(vd480,vd469)), inference(instantiation, [status(thm)], [0])).
% 132.08/16.92 fof('ass(cond(270, 0), 0)', plain, ![Vd418,Vd419]:vmul(Vd418,Vd419)=vmul(Vd419,Vd418), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(270, 0), 0)')).
% 132.08/16.92 cnf(10, plain, vmul(X0,X1) = vmul(X1,X0), inference(cnf, [status(esa)], ['ass(cond(270, 0), 0)'])).
% 132.08/16.92 cnf(l31, plain, vmul(vd469,vd480) = vmul(vd480,vd469), inference(instantiation, [status(thm)], [10])).
% 132.08/16.92 fof('ass(cond(goal(130), 0), 0)', plain, ![Vd203,Vd204]:(Vd203=Vd204|greater(Vd203,Vd204)|less(Vd203,Vd204)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(goal(130), 0), 0)')).
% 132.08/16.92 cnf(14, plain, less(X0,X1) | X0 = X1 | greater(X0,X1), inference(cnf, [status(esa)], ['ass(cond(goal(130), 0), 0)'])).
% 132.08/16.92 cnf(l2, plain, less(vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469),vmul(vd481,vd469)) | vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469) = vmul(vd481,vd469) | greater(vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469),vmul(vd481,vd469)), inference(instantiation, [status(thm)], [14])).
% 132.08/16.92 fof('ass(cond(goal(130), 0), 2)', plain, ![Vd203,Vd204]:(~greater(Vd203,Vd204)|~less(Vd203,Vd204)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(goal(130), 0), 2)')).
% 132.08/16.92 cnf(16, plain, ~less(X0,X1) | ~greater(X0,X1), inference(cnf, [status(esa)], ['ass(cond(goal(130), 0), 2)'])).
% 132.08/16.92 cnf(l7, plain, ~less(vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469),vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469)) | ~greater(vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469),vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469)), inference(instantiation, [status(thm)], [16])).
% 132.08/16.92 fof('ass(cond(302, 0), 0)', plain, ![Vd470,Vd471]:(greater(Vd470,Vd471)=>greater(vplus(vmul(Vd471,vd469),vmul(vskolem9(Vd470,Vd471),vd469)),vmul(Vd471,vd469))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(302, 0), 0)')).
% 132.08/16.92 cnf(4, plain, ~greater(X0,X1) | greater(vplus(vmul(X1,vd469),vmul(vskolem9(X0,X1),vd469)),vmul(X1,vd469)), inference(cnf, [status(esa)], ['ass(cond(302, 0), 0)'])).
% 132.08/16.92 cnf(l147, plain, ~greater(vd481,vd480) | greater(vplus(vmul(vd480,vd469),vmul(vskolem9(vd481,vd480),vd469)),vmul(vd480,vd469)), inference(instantiation, [status(thm)], [4])).
% 132.08/16.92 fof('ass(cond(147, 0), 0)', plain, ![Vd226,Vd227]:(less(Vd226,Vd227)=>greater(Vd227,Vd226)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(147, 0), 0)')).
% 132.08/16.92 cnf(12, plain, ~less(X0,X1) | greater(X1,X0), inference(cnf, [status(esa)], ['ass(cond(147, 0), 0)'])).
% 132.08/16.92 cnf(l9, plain, ~less(vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469),vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469)) | greater(vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469),vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469)), inference(instantiation, [status(thm)], [12])).
% 132.08/16.92 cnf(l148, plain, ~less(vd480,vd481) | greater(vd481,vd480), inference(instantiation, [status(thm)], [12])).
% 132.08/16.92 cnf(l154, plain, vmul(vd469,vd480) = vmul(vd480,vd469), inference(instantiation, [status(thm)], [10])).
% 132.08/16.92 fof('holds(antec(304), 482, 0)', plain, less(vd480,vd481), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(antec(304), 482, 0)')).
% 132.08/16.92 cnf(2, plain, less(vd480,vd481), inference(cnf, [status(esa)], ['holds(antec(304), 482, 0)'])).
% 132.08/16.92 cnf(l152, plain, less(vd480,vd481), inference(instantiation, [status(thm)], [2])).
% 132.08/16.92 fof('ass(cond(302, 0), 1)', plain, ![Vd470,Vd471]:(greater(Vd470,Vd471)=>vmul(vplus(Vd471,vskolem9(Vd470,Vd471)),vd469)=vplus(vmul(Vd471,vd469),vmul(vskolem9(Vd470,Vd471),vd469))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(302, 0), 1)')).
% 132.08/16.92 cnf(5, plain, ~greater(X0,X1) | vmul(vplus(X1,vskolem9(X0,X1)),vd469) = vplus(vmul(X1,vd469),vmul(vskolem9(X0,X1),vd469)), inference(cnf, [status(esa)], ['ass(cond(302, 0), 1)'])).
% 132.08/16.92 cnf(l138, plain, ~greater(vd481,vd480) | vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469) = vplus(vmul(vd480,vd469),vmul(vskolem9(vd481,vd480),vd469)), inference(instantiation, [status(thm)], [5])).
% 132.08/16.92 fof('ass(cond(302, 0), 2)', plain, ![Vd470,Vd471]:(greater(Vd470,Vd471)=>vmul(Vd470,vd469)=vmul(vplus(Vd471,vskolem9(Vd470,Vd471)),vd469)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(302, 0), 2)')).
% 132.08/16.92 cnf(6, plain, ~greater(X0,X1) | vmul(X0,vd469) = vmul(vplus(X1,vskolem9(X0,X1)),vd469), inference(cnf, [status(esa)], ['ass(cond(302, 0), 2)'])).
% 132.08/16.92 cnf(l8, plain, ~greater(vd481,vd480) | vmul(vd481,vd469) = vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469), inference(instantiation, [status(thm)], [6])).
% 132.08/16.92 fof('holds(conseq_conjunct1(conseq(304)), 483, 0)', plain, greater(vd481,vd480), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(conseq_conjunct1(conseq(304)), 483, 0)')).
% 132.08/16.92 cnf(1, plain, greater(vd481,vd480), inference(cnf, [status(esa)], ['holds(conseq_conjunct1(conseq(304)), 483, 0)'])).
% 132.08/16.92 cnf(l11, plain, greater(vd481,vd480), inference(instantiation, [status(thm)], [1])).
% 132.08/16.92 cnf(l140, plain, greater(vd481,vd480), inference(instantiation, [status(thm)], [1])).
% 132.08/16.92 fof('ass(cond(goal(130), 0), 3)', plain, ![Vd203,Vd204]:(Vd203!=Vd204|~greater(Vd203,Vd204)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(goal(130), 0), 3)')).
% 132.08/16.92 cnf(17, plain, X0 != X1 | ~greater(X0,X1), inference(cnf, [status(esa)], ['ass(cond(goal(130), 0), 3)'])).
% 132.08/16.92 cnf(l26, plain, vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469) != vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469) | ~greater(vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469),vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469)), inference(instantiation, [status(thm)], [17])).
% 132.08/16.92 cnf(l5, plain, ~greater(vd481,vd480) | vmul(vd481,vd469) = vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469), inference(instantiation, [status(thm)], [6])).
% 132.08/16.92 cnf(l20, plain, greater(vd481,vd480), inference(instantiation, [status(thm)], [1])).
% 132.08/16.92 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l31, l2, l7, l147, l9, l148, l154, l152, l138, l8, l11, l140, l26, l5, l20])).
% 132.08/16.92 % SZS output end CNFRefutation
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