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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : GEO270+1 : 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 : n021.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 : Thu Jul 24 01:38:50 PM UTC 2025

% Result   : Theorem 4.73s 0.98s
% Output   : CNFRefutation 4.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO270+1 : TPTP v9.0.0. Released v4.1.0.
% 0.03/0.12  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  % Computer : n021.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 : Sun Jul 20 11:53:34 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.20/0.36  % launching worker at depth: 1
% 0.20/0.36  % launching worker at depth: 2
% 0.20/0.36  % launching worker at depth: 4
% 0.20/0.36  % launching worker at depth: 3
% 0.20/0.36  % launching worker at depth: 5
% 0.20/0.36  % launching worker at depth: 6
% 0.20/0.36  % launching worker at depth: 7
% 0.20/0.36  % launching worker at depth: 8
% 0.20/0.37  % launching worker at depth: 9
% 4.73/0.98  % SZS status Theorem for theBenchmark
% 4.73/0.98  % SZS output start CNFRefutation
% 4.73/0.98  fof('qe(208)', plain, ?[Vd1052]:(vf(vd1049,Vd1052)=vf(Vd1052,vd1047)&vf(vd1047,vd1049)=vf(vd1049,Vd1052)&rpoint(Vd1052)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'qe(208)')).
% 4.73/0.98  fof('qe(208)'_negated, plain, ~(?[Vd1052]:(vf(vd1049,Vd1052)=vf(Vd1052,vd1047)&vf(vd1047,vd1049)=vf(vd1049,Vd1052)&rpoint(Vd1052))), inference(negate_conjecture, [status(cth)], ['qe(208)'])).
% 4.73/0.98  cnf(0, plain, ~rpoint(X0) | vf(vd1049,X0) != vf(X0,vd1047) | vf(vd1047,vd1049) != vf(vd1049,X0), inference(cnf, [status(esa)], ['qe(208)'_negated])).
% 4.73/0.98  cnf(l0, plain, ~rpoint(vskolem1064(vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050),vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050)) | vf(vd1049,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050),vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050)) != vf(vskolem1064(vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050),vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050),vd1047) | vf(vd1047,vd1049) != vf(vd1049,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050),vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050)), inference(instantiation, [status(thm)], [0])).
% 4.73/0.98  fof('ass(cond(proof(209), 0), 0)', plain, ![Vd1055,Vd1056,Vd1057,Vd1058]:((Vd1057=Vd1058&Vd1055!=Vd1057&rpoint(Vd1058)&Vd1055=Vd1056&rpoint(Vd1056))=>![Vd1060]:(Vd1060=vskolem1061(Vd1055,Vd1056,Vd1057,Vd1058)=>![Vd1062]:(Vd1062=vskolem1063(Vd1060,Vd1055,Vd1056,Vd1057,Vd1058)=>vf(Vd1057,vskolem1064(Vd1062,Vd1060,Vd1055,Vd1056,Vd1057,Vd1058))=vf(vskolem1064(Vd1062,Vd1060,Vd1055,Vd1056,Vd1057,Vd1058),Vd1055)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(proof(209), 0), 0)')).
% 4.73/0.98  cnf(6, plain, ~rpoint(X0) | ~rpoint(X1) | X2 != X0 | X3 != X1 | X4 != vskolem1061(X2,X0,X3,X1) | X5 != vskolem1063(X4,X2,X0,X3,X1) | X2 = X3 | vf(X3,vskolem1064(X5,X4,X2,X0,X3,X1)) = vf(vskolem1064(X5,X4,X2,X0,X3,X1),X2), inference(cnf, [status(esa)], ['ass(cond(proof(209), 0), 0)'])).
% 4.73/0.98  cnf(l1, plain, ~rpoint(vd1048) | ~rpoint(vd1050) | vd1047 != vd1048 | vd1049 != vd1050 | vskolem1061(vd1047,vd1048,vd1049,vd1050) != vskolem1061(vd1047,vd1048,vd1049,vd1050) | vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050) != vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050) | vd1047 = vd1049 | vf(vd1049,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050),vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050)) = vf(vskolem1064(vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050),vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050),vd1047), inference(instantiation, [status(thm)], [6])).
% 4.73/0.98  fof('ass(cond(proof(209), 0), 1)', plain, ![Vd1055,Vd1056,Vd1057,Vd1058]:((Vd1057=Vd1058&Vd1055!=Vd1057&rpoint(Vd1058)&Vd1055=Vd1056&rpoint(Vd1056))=>![Vd1060]:(Vd1060=vskolem1061(Vd1055,Vd1056,Vd1057,Vd1058)=>![Vd1062]:(Vd1062=vskolem1063(Vd1060,Vd1055,Vd1056,Vd1057,Vd1058)=>vf(Vd1055,Vd1057)=vf(Vd1057,vskolem1064(Vd1062,Vd1060,Vd1055,Vd1056,Vd1057,Vd1058))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(proof(209), 0), 1)')).
% 4.73/0.98  cnf(7, plain, ~rpoint(X0) | ~rpoint(X1) | X2 != X0 | X3 != X1 | X4 != vskolem1061(X2,X0,X3,X1) | X5 != vskolem1063(X4,X2,X0,X3,X1) | X2 = X3 | vf(X2,X3) = vf(X3,vskolem1064(X5,X4,X2,X0,X3,X1)), inference(cnf, [status(esa)], ['ass(cond(proof(209), 0), 1)'])).
% 4.73/0.98  cnf(l4, plain, ~rpoint(vd1048) | ~rpoint(vd1050) | vd1047 != vd1048 | vd1049 != vd1050 | vskolem1061(vd1047,vd1048,vd1049,vd1050) != vskolem1061(vd1047,vd1048,vd1049,vd1050) | vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050) != vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050) | vd1047 = vd1049 | vf(vd1047,vd1049) = vf(vd1049,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050),vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050)), inference(instantiation, [status(thm)], [7])).
% 4.73/0.98  fof('and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))', plain, (vd1049=vd1050&vd1047!=vd1049&rpoint(vd1050)&vd1047=vd1048&rpoint(vd1048)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))')).
% 4.73/0.98  cnf(5, plain, rpoint(vd1048), inference(cnf, [status(esa)], ['and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))'])).
% 4.73/0.98  cnf(l26, plain, rpoint(vd1048), inference(instantiation, [status(thm)], [5])).
% 4.73/0.98  cnf(4, plain, vd1047 = vd1048, inference(cnf, [status(esa)], ['and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))'])).
% 4.73/0.98  cnf(l125, plain, vd1047 = vd1048, inference(instantiation, [status(thm)], [4])).
% 4.73/0.98  cnf(3, plain, rpoint(vd1050), inference(cnf, [status(esa)], ['and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))'])).
% 4.73/0.98  cnf(l12, plain, rpoint(vd1050), inference(instantiation, [status(thm)], [3])).
% 4.73/0.98  cnf(l3, plain, rpoint(vd1048), inference(instantiation, [status(thm)], [5])).
% 4.73/0.98  cnf(1, plain, vd1049 = vd1050, inference(cnf, [status(esa)], ['and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))'])).
% 4.73/0.98  cnf(l28, plain, vd1049 = vd1050, inference(instantiation, [status(thm)], [1])).
% 4.73/0.98  cnf(l37, plain, rpoint(vd1050), inference(instantiation, [status(thm)], [3])).
% 4.73/0.98  cnf(l36, plain, vd1047 = vd1048, inference(instantiation, [status(thm)], [4])).
% 4.73/0.98  cnf(l2, plain, vd1049 = vd1050, inference(instantiation, [status(thm)], [1])).
% 4.73/0.98  fof('ass(cond(proof(209), 0), 6)', plain, ![Vd1055,Vd1056,Vd1057,Vd1058]:((Vd1057=Vd1058&Vd1055!=Vd1057&rpoint(Vd1058)&Vd1055=Vd1056&rpoint(Vd1056))=>![Vd1060]:(Vd1060=vskolem1061(Vd1055,Vd1056,Vd1057,Vd1058)=>![Vd1062]:(Vd1062=vskolem1063(Vd1060,Vd1055,Vd1056,Vd1057,Vd1058)=>rpoint(vskolem1064(Vd1062,Vd1060,Vd1055,Vd1056,Vd1057,Vd1058))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(proof(209), 0), 6)')).
% 4.73/0.98  cnf(12, plain, ~rpoint(X0) | ~rpoint(X1) | X2 != X0 | X3 != X1 | X4 != vskolem1061(X2,X0,X3,X1) | X5 != vskolem1063(X4,X2,X0,X3,X1) | rpoint(vskolem1064(X5,X4,X2,X0,X3,X1)) | X2 = X3, inference(cnf, [status(esa)], ['ass(cond(proof(209), 0), 6)'])).
% 4.73/0.98  cnf(l21, plain, ~rpoint(vd1048) | ~rpoint(vd1050) | vd1047 != vd1048 | vd1049 != vd1050 | vskolem1061(vd1047,vd1048,vd1049,vd1050) != vskolem1061(vd1047,vd1048,vd1049,vd1050) | vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050) != vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050) | rpoint(vskolem1064(vskolem1063(vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050),vskolem1061(vd1047,vd1048,vd1049,vd1050),vd1047,vd1048,vd1049,vd1050)) | vd1047 = vd1049, inference(instantiation, [status(thm)], [12])).
% 4.73/0.98  cnf(l90, plain, vd1049 = vd1050, inference(instantiation, [status(thm)], [1])).
% 4.73/0.98  cnf(l84, plain, rpoint(vd1048), inference(instantiation, [status(thm)], [5])).
% 4.73/0.98  cnf(l76, plain, rpoint(vd1050), inference(instantiation, [status(thm)], [3])).
% 4.73/0.98  cnf(l58, plain, vd1047 = vd1048, inference(instantiation, [status(thm)], [4])).
% 4.73/0.98  cnf(2, plain, vd1047 != vd1049, inference(cnf, [status(esa)], ['and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))'])).
% 4.73/0.98  cnf(l5, plain, vd1047 != vd1049, inference(instantiation, [status(thm)], [2])).
% 4.73/0.98  cnf(l108, plain, vd1047 != vd1049, inference(instantiation, [status(thm)], [2])).
% 4.73/0.98  cnf(l87, plain, vd1047 != vd1049, inference(instantiation, [status(thm)], [2])).
% 4.73/0.98  cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l1, l4, l26, l125, l12, l3, l28, l37, l36, l2, l21, l90, l84, l76, l58, l5, l108, l87])).
% 4.73/0.98  % SZS output end CNFRefutation
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