%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM857+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 : 600s
% DateTime : Mon Jul 18 11:45:17 EDT 2022
% Result : Theorem 5.69s 6.56s
% Output : Proof 5.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM857+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n006.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 : 600
% 0.13/0.34 % DateTime : Thu Jul 7 00:54:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 5.69/6.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.69/6.56 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.69/6.57
% 5.69/6.57 %-----------------------------------------------------
% 5.69/6.57 fof('holds(conseq(323), 532, 0)', conjecture, geq(vmul(vd526, vd529), vmul(vd527, vd530)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(conseq(323), 532, 0)')).
% 5.69/6.57 fof('holds(conjunct2(antec(323)), 531, 0)', axiom, geq(vd529, vd530), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(conjunct2(antec(323)), 531, 0)')).
% 5.69/6.57 fof('holds(conjunct1(antec(323)), 528, 0)', axiom, geq(vd526, vd527), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(conjunct1(antec(323)), 528, 0)')).
% 5.69/6.57 fof('ass(cond(318, 0), 0)', axiom, ! [_73826, _73829, _73832, _73835] : (greater(_73832, _73835) & geq(_73826, _73829) | geq(_73832, _73835) & greater(_73826, _73829) => greater(vmul(_73826, _73832), vmul(_73829, _73835))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(318, 0), 0)')).
% 5.69/6.57 fof('def(cond(conseq(axiom(3)), 16), 1)', axiom, ! [_74159, _74162] : (geq(_74162, _74159) <=> greater(_74162, _74159) | _74162 = _74159), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'def(cond(conseq(axiom(3)), 16), 1)')).
% 5.69/6.57
% 5.69/6.57 cnf(1, plain, [geq(vmul(vd526, vd529), vmul(vd527, vd530))], clausify('holds(conseq(323), 532, 0)')).
% 5.69/6.57 cnf(2, plain, [-(vmul(_27894, _28027) = vmul(_27961, _28092)), _27894 = _27961, _28027 = _28092], theory(equality)).
% 5.69/6.57 cnf(3, plain, [-(_24440 = _24440)], theory(equality)).
% 5.69/6.57 cnf(4, plain, [-(geq(_25415, _25546)), geq(_25348, _25481), _25348 = _25415, _25481 = _25546], theory(equality)).
% 5.69/6.57 cnf(5, plain, [-(geq(vd529, vd530))], clausify('holds(conjunct2(antec(323)), 531, 0)')).
% 5.69/6.57 cnf(6, plain, [-(geq(vd526, vd527))], clausify('holds(conjunct1(antec(323)), 528, 0)')).
% 5.69/6.57 cnf(7, plain, [-(greater(vmul(_30137, _30294), vmul(_30216, _30371))), greater(_30294, _30371), geq(_30137, _30216)], clausify('ass(cond(318, 0), 0)')).
% 5.69/6.57 cnf(8, plain, [-(greater(vmul(_30137, _30294), vmul(_30216, _30371))), geq(_30294, _30371), greater(_30137, _30216)], clausify('ass(cond(318, 0), 0)')).
% 5.69/6.57 cnf(9, plain, [-(geq(_45536, _45485)), greater(_45536, _45485)], clausify('def(cond(conseq(axiom(3)), 16), 1)')).
% 5.69/6.57 cnf(10, plain, [-(geq(_45536, _45485)), _45536 = _45485], clausify('def(cond(conseq(axiom(3)), 16), 1)')).
% 5.69/6.57 cnf(11, plain, [geq(_45536, _45485), -(greater(_45536, _45485)), -(_45536 = _45485)], clausify('def(cond(conseq(axiom(3)), 16), 1)')).
% 5.69/6.57
% 5.69/6.57 cnf('1',plain,[geq(vmul(vd526, vd529), vmul(vd527, vd530))],start(1)).
% 5.69/6.57 cnf('1.1',plain,[-(geq(vmul(vd526, vd529), vmul(vd527, vd530))), vmul(vd526, vd529) = vmul(vd527, vd530)],extension(10,bind([[_45536, _45485], [vmul(vd526, vd529), vmul(vd527, vd530)]]))).
% 5.69/6.57 cnf('1.1.1',plain,[-(vmul(vd526, vd529) = vmul(vd527, vd530)), vd526 = vd527, vd529 = vd530],extension(2,bind([[_27894, _27961, _28027, _28092], [vd526, vd527, vd529, vd530]]))).
% 5.69/6.57 cnf('1.1.1.1',plain,[-(vd526 = vd527), geq(vd526, vd527), -(greater(vd526, vd527))],extension(11,bind([[_45536, _45485], [vd526, vd527]]))).
% 5.69/6.57 cnf('1.1.1.1.1',plain,[-(geq(vd526, vd527))],extension(6)).
% 5.69/6.57 cnf('1.1.1.1.2',plain,[greater(vd526, vd527), -(greater(vmul(vd526, vd529), vmul(vd527, vd530))), geq(vd529, vd530)],extension(8,bind([[_30137, _30216, _30294, _30371], [vd526, vd527, vd529, vd530]]))).
% 5.69/6.57 cnf('1.1.1.1.2.1',plain,[greater(vmul(vd526, vd529), vmul(vd527, vd530)), -(geq(vmul(vd526, vd529), vmul(vd527, vd530)))],extension(9,bind([[_45536, _45485], [vmul(vd526, vd529), vmul(vd527, vd530)]]))).
% 5.69/6.57 cnf('1.1.1.1.2.1.1',plain,[geq(vmul(vd526, vd529), vmul(vd527, vd530))],extension(1)).
% 5.69/6.57 cnf('1.1.1.1.2.2',plain,[-(geq(vd529, vd530))],extension(5)).
% 5.69/6.57 cnf('1.1.1.2',plain,[-(vd529 = vd530), geq(vd529, vd530), -(greater(vd529, vd530))],extension(11,bind([[_45536, _45485], [vd529, vd530]]))).
% 5.69/6.57 cnf('1.1.1.2.1',plain,[-(geq(vd529, vd530)), geq(vd529, vd530), vd529 = vd529, vd530 = vd530],extension(4,bind([[_25348, _25415, _25481, _25546], [vd529, vd529, vd530, vd530]]))).
% 5.69/6.57 cnf('1.1.1.2.1.1',plain,[-(geq(vd529, vd530))],extension(5)).
% 5.69/6.57 cnf('1.1.1.2.1.2',plain,[-(vd529 = vd529)],extension(3,bind([[_24440], [vd529]]))).
% 5.69/6.57 cnf('1.1.1.2.1.3',plain,[-(vd530 = vd530)],extension(3,bind([[_24440], [vd530]]))).
% 5.69/6.57 cnf('1.1.1.2.2',plain,[greater(vd529, vd530), -(greater(vmul(vd526, vd529), vmul(vd527, vd530))), geq(vd526, vd527)],extension(7,bind([[_30294, _30371, _30137, _30216], [vd529, vd530, vd526, vd527]]))).
% 5.69/6.57 cnf('1.1.1.2.2.1',plain,[greater(vmul(vd526, vd529), vmul(vd527, vd530)), -(geq(vmul(vd526, vd529), vmul(vd527, vd530)))],extension(9,bind([[_45536, _45485], [vmul(vd526, vd529), vmul(vd527, vd530)]]))).
% 5.69/6.57 cnf('1.1.1.2.2.1.1',plain,[geq(vmul(vd526, vd529), vmul(vd527, vd530))],extension(1)).
% 5.69/6.57 cnf('1.1.1.2.2.2',plain,[-(geq(vd526, vd527))],extension(6)).
% 5.69/6.57 %-----------------------------------------------------
% 5.69/6.57
% 5.69/6.58 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------