%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO342+1 : 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 : n020.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 01:38:55 PM UTC 2025
% Result : Theorem 11.76s 1.85s
% Output : CNFRefutation 11.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO342+1 : TPTP v9.0.0. Released v4.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n020.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 12:08:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 11.76/1.85 % SZS status Theorem for theBenchmark
% 11.76/1.85 % SZS output start CNFRefutation
% 11.76/1.85 fof('qe(thee(the(408), 1))', plain, ?[Vd1416]:(ron(vd1399,Vd1416)&ron(vd1401,Vd1416)&rline(Vd1416)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qe(thee(the(408), 1))')).
% 11.76/1.85 fof('qe(thee(the(408), 1))'_negated, plain, ~(?[Vd1416]:(ron(vd1399,Vd1416)&ron(vd1401,Vd1416)&rline(Vd1416))), inference(negate_conjecture, [status(cth)], ['qe(thee(the(408), 1))'])).
% 11.76/1.85 cnf(0, plain, ~rline(X0) | ~ron(vd1399,X0) | ~ron(vd1401,X0), inference(cnf, [status(esa)], ['qe(thee(the(408), 1))'_negated])).
% 11.76/1.85 cnf(l0, plain, ~rline(sK8(vd1399,vd1401)) | ~ron(vd1399,sK8(vd1399,vd1401)) | ~ron(vd1401,sK8(vd1399,vd1401)), inference(instantiation, [status(thm)], [0])).
% 11.76/1.85 fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))', plain, ![Vd217,Vd218]:((Vd217!=Vd218&?[Vd221]:(Vd218=Vd221&rpoint(Vd221))&?[Vd220]:(Vd217=Vd220&rpoint(Vd220)))=>?[Vd223]:(ron(Vd218,Vd223)&ron(Vd217,Vd223)&rline(Vd223))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))')).
% 11.76/1.85 cnf(64, plain, X0 != X1 | X2 != X3 | ~rpoint(X3) | ~rpoint(X1) | rline(sK8(X0,X2)) | X0 = X2, inference(cnf, [status(esa)], ['qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))'])).
% 11.76/1.85 cnf(l27, plain, vd1399 != sK3 | vd1401 != sK1 | ~rpoint(sK1) | ~rpoint(sK3) | rline(sK8(vd1399,vd1401)) | vd1399 = vd1401, inference(instantiation, [status(thm)], [64])).
% 11.76/1.85 cnf(62, plain, X0 != X1 | X2 != X3 | ~rpoint(X3) | ~rpoint(X1) | X0 = X2 | ron(X2,sK8(X0,X2)), inference(cnf, [status(esa)], ['qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))'])).
% 11.76/1.85 cnf(l17, plain, vd1399 != sK3 | vd1401 != sK1 | ~rpoint(sK1) | ~rpoint(sK3) | vd1399 = vd1401 | ron(vd1401,sK8(vd1399,vd1401)), inference(instantiation, [status(thm)], [62])).
% 11.76/1.85 cnf(63, plain, X0 != X1 | X2 != X3 | ~rpoint(X3) | ~rpoint(X1) | X0 = X2 | ron(X0,sK8(X0,X2)), inference(cnf, [status(esa)], ['qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))'])).
% 11.76/1.85 cnf(l1, plain, vd1399 != sK3 | vd1401 != sK1 | ~rpoint(sK1) | ~rpoint(sK3) | vd1399 = vd1401 | ron(vd1399,sK8(vd1399,vd1401)), inference(instantiation, [status(thm)], [63])).
% 11.76/1.85 fof('and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))', plain, (vd1406=vd1407&ron(vd1400,vd1406)&ron(vd1399,vd1406)&rline(vd1407)&vd1400!=vd1401&vd1399!=vd1401&vd1399!=vd1400&?[Vd1405]:(vd1401=Vd1405&rpoint(Vd1405))&?[Vd1404]:(vd1400=Vd1404&rpoint(Vd1404))&?[Vd1403]:(vd1399=Vd1403&rpoint(Vd1403))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))')).
% 11.76/1.85 cnf(18, plain, vd1399 = sK3, inference(cnf, [status(esa)], ['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])).
% 11.76/1.85 cnf(l37, plain, vd1399 = sK3, inference(instantiation, [status(thm)], [18])).
% 11.76/1.85 cnf(l47, plain, vd1399 = sK3, inference(instantiation, [status(thm)], [18])).
% 11.76/1.85 cnf(19, plain, rpoint(sK3), inference(cnf, [status(esa)], ['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])).
% 11.76/1.85 cnf(l3, plain, rpoint(sK3), inference(instantiation, [status(thm)], [19])).
% 11.76/1.85 cnf(15, plain, rpoint(sK1), inference(cnf, [status(esa)], ['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])).
% 11.76/1.85 cnf(l28, plain, rpoint(sK1), inference(instantiation, [status(thm)], [15])).
% 11.76/1.85 cnf(14, plain, vd1401 = sK1, inference(cnf, [status(esa)], ['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])).
% 11.76/1.85 cnf(l55, plain, vd1401 = sK1, inference(instantiation, [status(thm)], [14])).
% 11.76/1.85 cnf(l34, plain, vd1401 = sK1, inference(instantiation, [status(thm)], [14])).
% 11.76/1.85 cnf(12, plain, vd1399 != vd1401, inference(cnf, [status(esa)], ['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])).
% 11.76/1.85 cnf(l35, plain, vd1399 != vd1401, inference(instantiation, [status(thm)], [12])).
% 11.76/1.85 cnf(l30, plain, rpoint(sK3), inference(instantiation, [status(thm)], [19])).
% 11.76/1.85 cnf(l26, plain, rpoint(sK1), inference(instantiation, [status(thm)], [15])).
% 11.76/1.85 cnf(l50, plain, vd1401 = sK1, inference(instantiation, [status(thm)], [14])).
% 11.76/1.85 cnf(l68, plain, rpoint(sK3), inference(instantiation, [status(thm)], [19])).
% 11.76/1.85 cnf(l66, plain, vd1399 = sK3, inference(instantiation, [status(thm)], [18])).
% 11.76/1.85 cnf(l67, plain, rpoint(sK1), inference(instantiation, [status(thm)], [15])).
% 11.76/1.85 cnf(l54, plain, vd1399 != vd1401, inference(instantiation, [status(thm)], [12])).
% 11.76/1.85 cnf(l45, plain, vd1399 != vd1401, inference(instantiation, [status(thm)], [12])).
% 11.76/1.85 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l27, l17, l1, l37, l47, l3, l28, l55, l34, l35, l30, l26, l50, l68, l66, l67, l54, l45])).
% 11.76/1.85 % SZS output end CNFRefutation
%------------------------------------------------------------------------------