%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO273+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 : n032.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 5.03s 0.96s
% Output : CNFRefutation 5.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : GEO273+1 : TPTP v9.0.0. Released v4.1.0.
% 0.02/0.08 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.26 % Computer : n032.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Sun Jul 20 11:53:34 EDT 2025
% 0.08/0.26 % CPUTime :
% 0.12/0.29 % launching worker at depth: 3
% 0.12/0.29 % launching worker at depth: 5
% 0.12/0.29 % launching worker at depth: 2
% 0.12/0.29 % launching worker at depth: 4
% 0.12/0.29 % launching worker at depth: 1
% 0.12/0.29 % launching worker at depth: 6
% 0.12/0.29 % launching worker at depth: 7
% 0.12/0.29 % launching worker at depth: 8
% 0.12/0.30 % launching worker at depth: 9
% 5.03/0.96 % SZS status Theorem for theBenchmark
% 5.03/0.96 % SZS output start CNFRefutation
% 5.03/0.96 fof('qe(222)', plain, ?[Vd1078]:(vf(vd1069,vd1070)=vf(vd1074,Vd1078)&rpoint(Vd1078)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'qe(222)')).
% 5.03/0.96 fof('qe(222)'_negated, plain, ~(?[Vd1078]:(vf(vd1069,vd1070)=vf(vd1074,Vd1078)&rpoint(Vd1078))), inference(negate_conjecture, [status(cth)], ['qe(222)'])).
% 5.03/0.96 cnf(0, plain, vf(vd1069,vd1070) != vf(vd1074,X0) | ~rpoint(X0), inference(cnf, [status(esa)], ['qe(222)'_negated])).
% 5.03/0.96 cnf(l0, plain, vf(vd1069,vd1070) != vf(vd1074,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070)) | ~rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070)), inference(instantiation, [status(thm)], [0])).
% 5.03/0.96 fof('ass(cond(proof(223), 0), 0)', plain, ![Vd1080,Vd1081]:((Vd1080!=Vd1081&?[Vd1084]:(Vd1081=Vd1084&rpoint(Vd1084))&?[Vd1083]:(Vd1080=Vd1083&rpoint(Vd1083)))=>![Vd1085,Vd1086]:((Vd1085=Vd1086&Vd1085!=Vd1081&Vd1085!=Vd1080&rpoint(Vd1086))=>![Vd1091]:(Vd1091=vskolem1092(Vd1085,Vd1086,Vd1080,Vd1081)=>![Vd1094]:(Vd1094=vskolem1095(Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)=>![Vd1098]:(Vd1098=vskolem1099(Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)=>![Vd1101]:(Vd1101=vskolem1102(Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)=>vf(Vd1080,Vd1081)=vf(Vd1085,vskolem1103(Vd1101,Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(proof(223), 0), 0)')).
% 5.03/0.96 cnf(10, plain, X0 != X1 | X2 != X3 | X4 != X5 | X6 != vskolem1092(X4,X5,X0,X2) | X7 != vskolem1095(X6,X4,X5,X0,X2) | X8 != vskolem1099(X7,X6,X4,X5,X0,X2) | X9 != vskolem1102(X8,X7,X6,X4,X5,X0,X2) | ~rpoint(X3) | ~rpoint(X1) | ~rpoint(X5) | X0 = X2 | X4 = X0 | X4 = X2 | vf(X0,X2) = vf(X4,vskolem1103(X9,X8,X7,X6,X4,X5,X0,X2)), inference(cnf, [status(esa)], ['ass(cond(proof(223), 0), 0)'])).
% 5.03/0.96 cnf(l1, plain, vd1069 != sK2 | vd1070 != sK1 | vd1074 != vd1075 | vskolem1092(vd1074,vd1075,vd1069,vd1070) != vskolem1092(vd1074,vd1075,vd1069,vd1070) | vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070) != vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070) | vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070) != vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070) | vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070) != vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070) | ~rpoint(sK1) | ~rpoint(sK2) | ~rpoint(vd1075) | vd1069 = vd1070 | vd1074 = vd1069 | vd1074 = vd1070 | vf(vd1069,vd1070) = vf(vd1074,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070)), inference(instantiation, [status(thm)], [10])).
% 5.03/0.96 fof('qe(s2(plural(220)))', plain, ?[Vd1073]:(vd1070=Vd1073&rpoint(Vd1073)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'qe(s2(plural(220)))')).
% 5.03/0.96 cnf(7, plain, rpoint(sK1), inference(cnf, [status(esa)], ['qe(s2(plural(220)))'])).
% 5.03/0.96 cnf(l17, plain, rpoint(sK1), inference(instantiation, [status(thm)], [7])).
% 5.03/0.96 fof('pred(221, 4)', plain, vd1074=vd1075, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'pred(221, 4)')).
% 5.03/0.96 cnf(1, plain, vd1074 = vd1075, inference(cnf, [status(esa)], ['pred(221, 4)'])).
% 5.03/0.96 cnf(l5, plain, vd1074 = vd1075, inference(instantiation, [status(thm)], [1])).
% 5.03/0.96 fof('qe(s1(plural(220)))', plain, ?[Vd1072]:(vd1069=Vd1072&rpoint(Vd1072)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'qe(s1(plural(220)))')).
% 5.03/0.96 cnf(9, plain, rpoint(sK2), inference(cnf, [status(esa)], ['qe(s1(plural(220)))'])).
% 5.03/0.96 cnf(l6, plain, rpoint(sK2), inference(instantiation, [status(thm)], [9])).
% 5.03/0.96 fof('ass(cond(proof(223), 0), 7)', plain, ![Vd1080,Vd1081]:((Vd1080!=Vd1081&?[Vd1084]:(Vd1081=Vd1084&rpoint(Vd1084))&?[Vd1083]:(Vd1080=Vd1083&rpoint(Vd1083)))=>![Vd1085,Vd1086]:((Vd1085=Vd1086&Vd1085!=Vd1081&Vd1085!=Vd1080&rpoint(Vd1086))=>![Vd1091]:(Vd1091=vskolem1092(Vd1085,Vd1086,Vd1080,Vd1081)=>![Vd1094]:(Vd1094=vskolem1095(Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)=>![Vd1098]:(Vd1098=vskolem1099(Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)=>![Vd1101]:(Vd1101=vskolem1102(Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)=>rpoint(vskolem1103(Vd1101,Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(proof(223), 0), 7)')).
% 5.03/0.96 cnf(17, plain, X0 != X1 | X2 != X3 | X4 != X5 | X6 != vskolem1092(X4,X5,X0,X2) | X7 != vskolem1095(X6,X4,X5,X0,X2) | X8 != vskolem1099(X7,X6,X4,X5,X0,X2) | X9 != vskolem1102(X8,X7,X6,X4,X5,X0,X2) | ~rpoint(X3) | ~rpoint(X1) | ~rpoint(X5) | X0 = X2 | X4 = X0 | X4 = X2 | rpoint(vskolem1103(X9,X8,X7,X6,X4,X5,X0,X2)), inference(cnf, [status(esa)], ['ass(cond(proof(223), 0), 7)'])).
% 5.03/0.96 cnf(l9, plain, vd1069 != sK2 | vd1070 != sK1 | vd1074 != vd1075 | vskolem1092(vd1074,vd1075,vd1069,vd1070) != vskolem1092(vd1074,vd1075,vd1069,vd1070) | vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070) != vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070) | vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070) != vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070) | vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070) != vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070) | ~rpoint(sK1) | ~rpoint(sK2) | ~rpoint(vd1075) | vd1069 = vd1070 | vd1074 = vd1069 | vd1074 = vd1070 | rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1099(vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070),vskolem1092(vd1074,vd1075,vd1069,vd1070),vd1074,vd1075,vd1069,vd1070)), inference(instantiation, [status(thm)], [17])).
% 5.03/0.96 cnf(l12, plain, vd1074 = vd1075, inference(instantiation, [status(thm)], [1])).
% 5.03/0.96 fof('pred(221, 1)', plain, rpoint(vd1075), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'pred(221, 1)')).
% 5.03/0.96 cnf(4, plain, rpoint(vd1075), inference(cnf, [status(esa)], ['pred(221, 1)'])).
% 5.03/0.96 cnf(l54, plain, rpoint(vd1075), inference(instantiation, [status(thm)], [4])).
% 5.03/0.96 cnf(8, plain, vd1069 = sK2, inference(cnf, [status(esa)], ['qe(s1(plural(220)))'])).
% 5.03/0.96 cnf(l4, plain, vd1069 = sK2, inference(instantiation, [status(thm)], [8])).
% 5.03/0.96 cnf(l2, plain, rpoint(vd1075), inference(instantiation, [status(thm)], [4])).
% 5.03/0.96 cnf(l11, plain, vd1069 = sK2, inference(instantiation, [status(thm)], [8])).
% 5.03/0.96 cnf(l19, plain, rpoint(sK2), inference(instantiation, [status(thm)], [9])).
% 5.03/0.96 cnf(6, plain, vd1070 = sK1, inference(cnf, [status(esa)], ['qe(s2(plural(220)))'])).
% 5.03/0.96 cnf(l13, plain, vd1070 = sK1, inference(instantiation, [status(thm)], [6])).
% 5.03/0.96 cnf(l55, plain, rpoint(sK1), inference(instantiation, [status(thm)], [7])).
% 5.03/0.96 cnf(l15, plain, vd1070 = sK1, inference(instantiation, [status(thm)], [6])).
% 5.03/0.96 fof('holds(conjunct2(221), 1077, 0)', plain, vd1074!=vd1070, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'holds(conjunct2(221), 1077, 0)')).
% 5.03/0.96 cnf(2, plain, vd1074 != vd1070, inference(cnf, [status(esa)], ['holds(conjunct2(221), 1077, 0)'])).
% 5.03/0.96 cnf(l43, plain, vd1074 != vd1070, inference(instantiation, [status(thm)], [2])).
% 5.03/0.96 fof('pred(220, 5)', plain, vd1069!=vd1070, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'pred(220, 5)')).
% 5.03/0.96 cnf(5, plain, vd1069 != vd1070, inference(cnf, [status(esa)], ['pred(220, 5)'])).
% 5.03/0.96 cnf(l58, plain, vd1069 != vd1070, inference(instantiation, [status(thm)], [5])).
% 5.03/0.96 fof('holds(conjunct1(221), 1076, 0)', plain, vd1074!=vd1069, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'holds(conjunct1(221), 1076, 0)')).
% 5.03/0.96 cnf(3, plain, vd1074 != vd1069, inference(cnf, [status(esa)], ['holds(conjunct1(221), 1076, 0)'])).
% 5.03/0.96 cnf(l53, plain, vd1074 != vd1069, inference(instantiation, [status(thm)], [3])).
% 5.03/0.96 cnf(l57, plain, vd1074 != vd1070, inference(instantiation, [status(thm)], [2])).
% 5.03/0.96 cnf(l20, plain, vd1074 != vd1069, inference(instantiation, [status(thm)], [3])).
% 5.03/0.96 cnf(l14, plain, vd1069 != vd1070, inference(instantiation, [status(thm)], [5])).
% 5.03/0.96 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l1, l17, l5, l6, l9, l12, l54, l4, l2, l11, l19, l13, l55, l15, l43, l58, l53, l57, l20, l14])).
% 5.03/0.96 % SZS output end CNFRefutation
%------------------------------------------------------------------------------