%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM835+2 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:29:15 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM835+2 : TPTP v9.0.0. Released v4.1.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n017.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 14:13:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % launching worker at depth: 4
% 0.13/0.33 % launching worker at depth: 7
% 0.13/0.33 % launching worker at depth: 1
% 0.13/0.33 % launching worker at depth: 2
% 0.13/0.33 % launching worker at depth: 6
% 0.13/0.33 % launching worker at depth: 5
% 0.13/0.33 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% 0.13/0.35 fof('dis(case_distinction(conseq(110)))', plain, (?[Vd180]:vd165=vplus(vd151,Vd180)|?[Vd170]:vd151=vplus(vd165,Vd170)|vd151=vd165), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'dis(case_distinction(conseq(110)))')).
% 0.13/0.35 fof('dis(case_distinction(conseq(110)))'_negated, plain, ~((?[Vd180]:vd165=vplus(vd151,Vd180)|?[Vd170]:vd151=vplus(vd165,Vd170)|vd151=vd165)), inference(negate_conjecture, [status(cth)], ['dis(case_distinction(conseq(110)))'])).
% 0.13/0.35 cnf(0, plain, vd165 != vplus(vd151,X0), inference(cnf, [status(esa)], ['dis(case_distinction(conseq(110)))'_negated])).
% 0.13/0.35 cnf(l0, plain, vd165 != vplus(vd151,sK1(vd165,vd151)), inference(instantiation, [status(thm)], [0])).
% 0.13/0.35 fof('def(cond(conseq(105), 0), 1)', plain, ![Vd151,Vd152]:(m(Vd152)<=>(Vd151=Vd152|?[Vd155]:Vd151=vplus(Vd152,Vd155)|?[Vd157]:Vd152=vplus(Vd151,Vd157))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'def(cond(conseq(105), 0), 1)')).
% 0.13/0.35 cnf(18, plain, ~m(X0) | X1 = X0 | X1 = vplus(X0,sK1(X1,X0)) | X0 = vplus(X1,sK2(X1,X0)), inference(cnf, [status(esa)], ['def(cond(conseq(105), 0), 1)'])).
% 0.13/0.35 cnf(l1, plain, ~m(vd151) | vd165 = vd151 | vd165 = vplus(vd151,sK1(vd165,vd151)) | vd151 = vplus(vd165,sK2(vd165,vd151)), inference(instantiation, [status(thm)], [18])).
% 0.13/0.35 cnf(19, plain, X0 != X1 | m(X1), inference(cnf, [status(esa)], ['def(cond(conseq(105), 0), 1)'])).
% 0.13/0.35 cnf(l2, plain, vd151 != vd151 | m(vd151), inference(instantiation, [status(thm)], [19])).
% 0.13/0.35 fof('ass(cond(conseq(110), 1), 8)', plain, ![Vd170]:(vd151=vplus(vd165,Vd170)=>(Vd170=v1=>vd151=vplus(vd165,v1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(conseq(110), 1), 8)')).
% 0.13/0.35 cnf(14, plain, X0 != v1 | vd151 != vplus(vd165,X0) | vd151 = vplus(vd165,v1), inference(cnf, [status(esa)], ['ass(cond(conseq(110), 1), 8)'])).
% 0.13/0.35 cnf(l3, plain, sK2(vd165,vd151) != v1 | vd151 != vplus(vd165,sK2(vd165,vd151)) | vd151 = vplus(vd165,v1), inference(instantiation, [status(thm)], [14])).
% 0.13/0.35 cnf(1, plain, vd151 != vplus(vd165,X0), inference(cnf, [status(esa)], ['dis(case_distinction(conseq(110)))'_negated])).
% 0.13/0.35 cnf(l6, plain, vd151 != vplus(vd165,v1), inference(instantiation, [status(thm)], [1])).
% 0.13/0.35 cnf(2, plain, vd151 != vd165, inference(cnf, [status(esa)], ['dis(case_distinction(conseq(110)))'_negated])).
% 0.13/0.35 cnf(l9, plain, vd151 != vd165, inference(instantiation, [status(thm)], [2])).
% 0.13/0.35 fof('ass(cond(conseq(110), 1), 3)', plain, ![Vd170]:(vd151=vplus(vd165,Vd170)=>(Vd170!=v1=>vd151=vplus(vd165,vplus(v1,vskolem3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(conseq(110), 1), 3)')).
% 0.13/0.35 cnf(9, plain, vd151 != vplus(vd165,X0) | X0 = v1 | vd151 = vplus(vd165,vplus(v1,vskolem3)), inference(cnf, [status(esa)], ['ass(cond(conseq(110), 1), 3)'])).
% 0.13/0.35 cnf(l7, plain, vd151 != vplus(vd165,sK2(vd165,vd151)) | sK2(vd165,vd151) = v1 | vd151 = vplus(vd165,vplus(v1,vskolem3)), inference(instantiation, [status(thm)], [9])).
% 0.13/0.35 cnf(l16, plain, vd151 != vplus(vd165,vplus(v1,vskolem3)), inference(instantiation, [status(thm)], [1])).
% 0.13/0.35 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l1, l2, l3, l6, l9, l7, l16])).
% 0.13/0.35 % SZS output end CNFRefutation
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