%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM855+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 : n018.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 12:29:20 PM UTC 2025
% Result : Theorem 5.50s 1.08s
% Output : CNFRefutation 5.50s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM855+2 : TPTP v9.0.0. Released v4.1.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 14:15:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 2.21/0.61 % launching worker at depth: 11
% 5.50/1.08 % SZS status Theorem for theBenchmark
% 5.50/1.08 % SZS output start CNFRefutation
% 5.50/1.08 fof('holds(conseq_conjunct2(315), 516, 0)', plain, greater(vmul(vd508,vd511),vmul(vd509,vd512)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(conseq_conjunct2(315), 516, 0)')).
% 5.50/1.08 fof('holds(conseq_conjunct2(315), 516, 0)'_negated, plain, ~(greater(vmul(vd508,vd511),vmul(vd509,vd512))), inference(negate_conjecture, [status(cth)], ['holds(conseq_conjunct2(315), 516, 0)'])).
% 5.50/1.08 cnf(0, plain, ~greater(vmul(vd508,vd511),vmul(vd509,vd512)), inference(cnf, [status(esa)], ['holds(conseq_conjunct2(315), 516, 0)'_negated])).
% 5.50/1.08 cnf(l0, plain, ~greater(vmul(vd508,vd511),vmul(vd509,vd512)), inference(instantiation, [status(thm)], [0])).
% 5.50/1.08 fof('ass(cond(goal(202), 0), 2)', plain, ![Vd328,Vd329,Vd330]:(greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))=>greater(Vd328,Vd329)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(goal(202), 0), 2)')).
% 5.50/1.08 cnf(29, plain, ~greater(vplus(X0,X1),vplus(X2,X1)) | greater(X0,X2), inference(cnf, [status(esa)], ['ass(cond(goal(202), 0), 2)'])).
% 5.50/1.08 cnf(l1, plain, ~greater(vplus(vmul(vd508,vd511),vmul(vd511,vd509)),vplus(vmul(vd509,vd512),vmul(vd511,vd509))) | greater(vmul(vd508,vd511),vmul(vd509,vd512)), inference(instantiation, [status(thm)], [29])).
% 5.50/1.08 fof('ass(cond(209, 0), 0)', plain, ![Vd337,Vd338,Vd340,Vd341]:((greater(Vd340,Vd341)&greater(Vd337,Vd338))=>greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(209, 0), 0)')).
% 5.50/1.08 cnf(26, plain, ~greater(X0,X1) | ~greater(X2,X3) | greater(vplus(X0,X2),vplus(X1,X3)), inference(cnf, [status(esa)], ['ass(cond(209, 0), 0)'])).
% 5.50/1.08 cnf(l11, plain, ~greater(vmul(vd511,vd509),vmul(vd512,vd509)) | ~greater(vmul(vd508,vd511),vmul(vd509,vd511)) | greater(vplus(vmul(vd511,vd509),vmul(vd508,vd511)),vplus(vmul(vd512,vd509),vmul(vd509,vd511))), inference(instantiation, [status(thm)], [26])).
% 5.50/1.08 fof('holds(conjunct1(315), 514, 0)', plain, greater(vmul(vd508,vd511),vmul(vd509,vd511)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(conjunct1(315), 514, 0)')).
% 5.50/1.08 cnf(4, plain, greater(vmul(vd508,vd511),vmul(vd509,vd511)), inference(cnf, [status(esa)], ['holds(conjunct1(315), 514, 0)'])).
% 5.50/1.08 cnf(l12, plain, greater(vmul(vd508,vd511),vmul(vd509,vd511)), inference(instantiation, [status(thm)], [4])).
% 5.50/1.08 fof('ass(cond(61, 0), 0)', plain, ![Vd78,Vd79]:vplus(Vd79,Vd78)=vplus(Vd78,Vd79), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(61, 0), 0)')).
% 5.50/1.08 cnf(62, plain, vplus(X0,X1) = vplus(X1,X0), inference(cnf, [status(esa)], ['ass(cond(61, 0), 0)'])).
% 5.50/1.08 cnf(l5, plain, vplus(vmul(vd508,vd511),vmul(vd511,vd509)) = vplus(vmul(vd511,vd509),vmul(vd508,vd511)), inference(instantiation, [status(thm)], [62])).
% 5.50/1.08 fof('holds(conjunct2(315), 515, 1)', plain, greater(vmul(vd511,vd509),vmul(vd512,vd509)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(conjunct2(315), 515, 1)')).
% 5.50/1.08 cnf(2, plain, greater(vmul(vd511,vd509),vmul(vd512,vd509)), inference(cnf, [status(esa)], ['holds(conjunct2(315), 515, 1)'])).
% 5.50/1.08 cnf(l14, plain, greater(vmul(vd511,vd509),vmul(vd512,vd509)), inference(instantiation, [status(thm)], [2])).
% 5.50/1.08 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)')).
% 5.50/1.08 cnf(15, plain, vmul(X0,X1) = vmul(X1,X0), inference(cnf, [status(esa)], ['ass(cond(270, 0), 0)'])).
% 5.50/1.08 cnf(l6, plain, vmul(vd512,vd509) = vmul(vd509,vd512), inference(instantiation, [status(thm)], [15])).
% 5.50/1.08 cnf(l7, plain, vmul(vd509,vd511) = vmul(vd511,vd509), inference(instantiation, [status(thm)], [15])).
% 5.50/1.08 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l1, l11, l12, l5, l14, l6, l7])).
% 5.50/1.08 % SZS output end CNFRefutation
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