%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO275+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 : n025.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 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO275+1 : TPTP v9.0.0. Released v4.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 11:53:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.37 % launching worker at depth: 5
% 0.13/0.37 % launching worker at depth: 1
% 0.13/0.37 % launching worker at depth: 4
% 0.13/0.37 % launching worker at depth: 7
% 0.13/0.38 % launching worker at depth: 9
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start CNFRefutation
% 0.19/0.47 fof('qu(theu(the(228), 1), imp(the(228)))', plain, ![Vdthex]:((ron(vd1081,Vdthex)&rcenter(vd1080,Vdthex)&rcircle(Vdthex))=>Vdthex=vd1095), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(theu(the(228), 1), imp(the(228)))')).
% 0.19/0.47 fof('qu(theu(the(228), 1), imp(the(228)))'_negated, plain, ~(![Vdthex]:((ron(vd1081,Vdthex)&rcenter(vd1080,Vdthex)&rcircle(Vdthex))=>Vdthex=vd1095)), inference(negate_conjecture, [status(cth)], ['qu(theu(the(228), 1), imp(the(228)))'])).
% 0.19/0.47 cnf(0, plain, ron(vd1081,sK1), inference(cnf, [status(esa)], ['qu(theu(the(228), 1), imp(the(228)))'_negated])).
% 0.19/0.47 cnf(l0, plain, ron(vd1081,sK1), inference(instantiation, [status(thm)], [0])).
% 0.19/0.47 fof('qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))', plain, ![Vd837,Vd838,Vd842,Vd843,Vd844]:((vf(Vd842,Vd837)=vf(Vd842,Vd838)&ron(Vd838,Vd844)&ron(Vd837,Vd843)&rcenter(Vd842,Vd844)&rcenter(Vd842,Vd843)&?[Vd841]:(Vd838=Vd841&rpoint(Vd841))&?[Vd840]:(Vd837=Vd840&rpoint(Vd840)))=>Vd843=Vd844), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))')).
% 0.19/0.47 cnf(240, plain, ~rcenter(X0,X1) | ~rcenter(X0,X2) | ~rpoint(X3) | ~rpoint(X4) | ~ron(X5,X1) | ~ron(X6,X2) | X5 != X4 | X6 != X3 | vf(X0,X5) != vf(X0,X6) | X1 = X2, inference(cnf, [status(esa)], ['qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))'])).
% 0.19/0.47 cnf(l1, plain, ~rcenter(vd1080,sK1) | ~rcenter(vd1080,vd1095) | ~rpoint(sK2) | ~rpoint(sK2) | ~ron(vd1081,sK1) | ~ron(vd1081,vd1095) | vd1081 != sK2 | vd1081 != sK2 | vf(vd1080,vd1081) != vf(vd1080,vd1081) | sK1 = vd1095, inference(instantiation, [status(thm)], [240])).
% 0.19/0.47 cnf(1, plain, rcenter(vd1080,sK1), inference(cnf, [status(esa)], ['qu(theu(the(228), 1), imp(the(228)))'_negated])).
% 0.19/0.47 cnf(l23, plain, rcenter(vd1080,sK1), inference(instantiation, [status(thm)], [1])).
% 0.19/0.47 fof('and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))', plain, (ron(vd1081,vd1095)&rcenter(vd1080,vd1095)&rcircle(vd1095)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))')).
% 0.19/0.47 cnf(5, plain, rcenter(vd1080,vd1095), inference(cnf, [status(esa)], ['and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))'])).
% 0.19/0.47 cnf(l7, plain, rcenter(vd1080,vd1095), inference(instantiation, [status(thm)], [5])).
% 0.19/0.47 fof('qe(s2(plural(224)))', plain, ?[Vd1084]:(vd1081=Vd1084&rpoint(Vd1084)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qe(s2(plural(224)))')).
% 0.19/0.47 cnf(14, plain, rpoint(sK2), inference(cnf, [status(esa)], ['qe(s2(plural(224)))'])).
% 0.19/0.47 cnf(l15, plain, rpoint(sK2), inference(instantiation, [status(thm)], [14])).
% 0.19/0.47 cnf(13, plain, vd1081 = sK2, inference(cnf, [status(esa)], ['qe(s2(plural(224)))'])).
% 0.19/0.47 cnf(l30, plain, vd1081 = sK2, inference(instantiation, [status(thm)], [13])).
% 0.19/0.47 cnf(l8, plain, vd1081 = sK2, inference(instantiation, [status(thm)], [13])).
% 0.19/0.47 cnf(4, plain, ron(vd1081,vd1095), inference(cnf, [status(esa)], ['and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))'])).
% 0.19/0.47 cnf(l41, plain, ron(vd1081,vd1095), inference(instantiation, [status(thm)], [4])).
% 0.19/0.47 cnf(l13, plain, rpoint(sK2), inference(instantiation, [status(thm)], [14])).
% 0.19/0.47 cnf(3, plain, sK1 != vd1095, inference(cnf, [status(esa)], ['qu(theu(the(228), 1), imp(the(228)))'_negated])).
% 0.19/0.47 cnf(l12, plain, sK1 != vd1095, inference(instantiation, [status(thm)], [3])).
% 0.19/0.47 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l1, l23, l7, l15, l30, l8, l41, l13, l12])).
% 0.19/0.47 % SZS output end CNFRefutation
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