%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO272+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 : n022.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 0.23s 0.57s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO272+1 : TPTP v9.0.0. Released v4.1.0.
% 0.08/0.15 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun Jul 20 11:53:19 EDT 2025
% 0.15/0.37 % CPUTime :
% 0.15/0.40 % launching worker at depth: 4
% 0.15/0.40 % launching worker at depth: 1
% 0.15/0.40 % launching worker at depth: 2
% 0.15/0.40 % launching worker at depth: 5
% 0.15/0.40 % launching worker at depth: 6
% 0.15/0.40 % launching worker at depth: 3
% 0.15/0.40 % launching worker at depth: 7
% 0.15/0.40 % launching worker at depth: 8
% 0.23/0.41 % launching worker at depth: 9
% 0.23/0.57 % SZS status Theorem for theBenchmark
% 0.23/0.57 % SZS output start CNFRefutation
% 0.23/0.57 fof('qu(theu(the(212), 1), imp(the(212)))', plain, ![Vdthex]:((ron(vd1055,Vdthex)&rcenter(vd1057,Vdthex)&rcircle(Vdthex))=>Vdthex=vd1063), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(theu(the(212), 1), imp(the(212)))')).
% 0.23/0.57 fof('qu(theu(the(212), 1), imp(the(212)))'_negated, plain, ~(![Vdthex]:((ron(vd1055,Vdthex)&rcenter(vd1057,Vdthex)&rcircle(Vdthex))=>Vdthex=vd1063)), inference(negate_conjecture, [status(cth)], ['qu(theu(the(212), 1), imp(the(212)))'])).
% 0.23/0.57 cnf(0, plain, ron(vd1055,sK1), inference(cnf, [status(esa)], ['qu(theu(the(212), 1), imp(the(212)))'_negated])).
% 0.23/0.57 cnf(l0, plain, ron(vd1055,sK1), inference(instantiation, [status(thm)], [0])).
% 0.23/0.57 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)))')).
% 0.23/0.57 cnf(22, plain, ~rcenter(X0,X1) | ~rcenter(X0,X2) | ~ron(X3,X1) | ~ron(X4,X2) | X3 != X5 | X4 != X6 | vf(X0,X3) != vf(X0,X4) | ~rpoint(X6) | ~rpoint(X5) | X1 = X2, inference(cnf, [status(esa)], ['qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))'])).
% 0.23/0.57 cnf(l1, plain, ~rcenter(vd1057,sK1) | ~rcenter(vd1057,vd1063) | ~ron(vd1055,sK1) | ~ron(vd1055,vd1063) | vd1055 != vd1056 | vd1055 != vd1056 | vf(vd1057,vd1055) != vf(vd1057,vd1055) | ~rpoint(vd1056) | ~rpoint(vd1056) | sK1 = vd1063, inference(instantiation, [status(thm)], [22])).
% 0.23/0.57 fof('and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))', plain, (vd1057=vd1058&vd1055!=vd1057&rpoint(vd1058)&vd1055=vd1056&rpoint(vd1056)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))')).
% 0.23/0.57 cnf(15, plain, vd1055 = vd1056, inference(cnf, [status(esa)], ['and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))'])).
% 0.23/0.57 cnf(l18, plain, vd1055 = vd1056, inference(instantiation, [status(thm)], [15])).
% 0.23/0.57 cnf(1, plain, rcenter(vd1057,sK1), inference(cnf, [status(esa)], ['qu(theu(the(212), 1), imp(the(212)))'_negated])).
% 0.23/0.57 cnf(l43, plain, rcenter(vd1057,sK1), inference(instantiation, [status(thm)], [1])).
% 0.23/0.57 cnf(16, plain, rpoint(vd1056), inference(cnf, [status(esa)], ['and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))'])).
% 0.23/0.57 cnf(l4, plain, rpoint(vd1056), inference(instantiation, [status(thm)], [16])).
% 0.23/0.57 fof('and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))', plain, (ron(vd1055,vd1063)&rcenter(vd1057,vd1063)&rcircle(vd1063)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))')).
% 0.23/0.57 cnf(5, plain, rcenter(vd1057,vd1063), inference(cnf, [status(esa)], ['and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))'])).
% 0.23/0.57 cnf(l20, plain, rcenter(vd1057,vd1063), inference(instantiation, [status(thm)], [5])).
% 0.23/0.57 cnf(l7, plain, rpoint(vd1056), inference(instantiation, [status(thm)], [16])).
% 0.23/0.57 cnf(l35, plain, vd1055 = vd1056, inference(instantiation, [status(thm)], [15])).
% 0.23/0.57 cnf(3, plain, sK1 != vd1063, inference(cnf, [status(esa)], ['qu(theu(the(212), 1), imp(the(212)))'_negated])).
% 0.23/0.57 cnf(l14, plain, sK1 != vd1063, inference(instantiation, [status(thm)], [3])).
% 0.23/0.57 cnf(4, plain, ron(vd1055,vd1063), inference(cnf, [status(esa)], ['and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))'])).
% 0.23/0.57 cnf(l36, plain, ron(vd1055,vd1063), inference(instantiation, [status(thm)], [4])).
% 0.23/0.57 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l1, l18, l43, l4, l20, l7, l35, l14, l36])).
% 0.23/0.57 % SZS output end CNFRefutation
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