TSTP Solution File: SWW208+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW208+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 : Thu Jul 21 00:47:04 EDT 2022
% Result : Theorem 2.99s 3.51s
% Output : Proof 3.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW208+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 4 17:01:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.99/3.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.07/3.51 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.07/3.52
% 3.07/3.52 %-----------------------------------------------------
% 3.07/3.52 fof(conj_0, conjecture, hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal), v_r), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) & ! [_711645] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(c_Complex_OIm, hAPP(v_s, hAPP(v_f____, hAPP(v_ga____, _711645)))))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal), v_r), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)).
% 3.07/3.52 fof(fact_rp, axiom, hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), v_r)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_rp)).
% 3.07/3.52 fof(fact_th, axiom, ! [_712159] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(c_Complex_OIm, hAPP(v_s, _712159)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal), v_r), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_th)).
% 3.07/3.52 fof(fact_add__nonneg__pos, axiom, ! [_712395, _712398, _712401] : (class_Groups_Oordered__comm__monoid__add(_712401) => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(_712401, c_Groups_Ozero__class_Ozero(_712401)), _712398)) => hBOOL(hAPP(c_Orderings_Oord__class_Oless(_712401, c_Groups_Ozero__class_Ozero(_712401)), _712395)) => hBOOL(hAPP(c_Orderings_Oord__class_Oless(_712401, c_Groups_Ozero__class_Ozero(_712401)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_712401), _712398), _712395)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__nonneg__pos)).
% 3.07/3.52 fof(fact_zero__less__one, axiom, ! [_712835] : (class_Rings_Olinordered__semidom(_712835) => hBOOL(hAPP(c_Orderings_Oord__class_Oless(_712835, c_Groups_Ozero__class_Ozero(_712835)), c_Groups_Oone__class_Oone(_712835)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__less__one)).
% 3.07/3.52 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add, axiom, class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add)).
% 3.07/3.52 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom, axiom, class_Rings_Olinordered__semidom(tc_RealDef_Oreal), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_RealDef__Oreal__Rings_Olinordered__semidom)).
% 3.07/3.52
% 3.07/3.52 cnf(1, plain, [hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal), v_r), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))), hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(c_Complex_OIm, hAPP(v_s, hAPP(v_f____, hAPP(v_ga____, 76 ^ [])))))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal), v_r), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))], clausify(conj_0)).
% 3.07/3.52 cnf(2, plain, [-(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), v_r)))], clausify(fact_rp)).
% 3.07/3.52 cnf(3, plain, [-(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(c_Complex_OIm, hAPP(v_s, _73657)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal), v_r), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))], clausify(fact_th)).
% 3.07/3.52 cnf(4, plain, [class_Groups_Oordered__comm__monoid__add(_73984), hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(_73984, c_Groups_Ozero__class_Ozero(_73984)), _73983)), hBOOL(hAPP(c_Orderings_Oord__class_Oless(_73984, c_Groups_Ozero__class_Ozero(_73984)), _73982)), -(hBOOL(hAPP(c_Orderings_Oord__class_Oless(_73984, c_Groups_Ozero__class_Ozero(_73984)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_73984), _73983), _73982))))], clausify(fact_add__nonneg__pos)).
% 3.07/3.52 cnf(5, plain, [class_Rings_Olinordered__semidom(_78677), -(hBOOL(hAPP(c_Orderings_Oord__class_Oless(_78677, c_Groups_Ozero__class_Ozero(_78677)), c_Groups_Oone__class_Oone(_78677))))], clausify(fact_zero__less__one)).
% 3.07/3.52 cnf(6, plain, [-(class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add)).
% 3.07/3.52 cnf(7, plain, [-(class_Rings_Olinordered__semidom(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Rings_Olinordered__semidom)).
% 3.07/3.52
% 3.07/3.52 cnf('1',plain,[hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal), v_r), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))), hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(c_Complex_OIm, hAPP(v_s, hAPP(v_f____, hAPP(v_ga____, 76 ^ [])))))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal), v_r), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))],start(1)).
% 3.07/3.52 cnf('1.1',plain,[-(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal), v_r), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))), class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal), hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), v_r)), hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))],extension(4,bind([[_73983, _73984, _73982], [v_r, tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)]]))).
% 3.07/3.52 cnf('1.1.1',plain,[-(class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal))],extension(6)).
% 3.07/3.52 cnf('1.1.2',plain,[-(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), v_r)))],extension(2)).
% 3.07/3.52 cnf('1.1.3',plain,[-(hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))), class_Rings_Olinordered__semidom(tc_RealDef_Oreal)],extension(5,bind([[_78677], [tc_RealDef_Oreal]]))).
% 3.07/3.52 cnf('1.1.3.1',plain,[-(class_Rings_Olinordered__semidom(tc_RealDef_Oreal))],extension(7)).
% 3.07/3.52 cnf('1.2',plain,[-(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(c_Complex_OIm, hAPP(v_s, hAPP(v_f____, hAPP(v_ga____, 76 ^ [])))))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal), v_r), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))],extension(3,bind([[_73657], [hAPP(v_f____, hAPP(v_ga____, 76 ^ []))]]))).
% 3.07/3.52 %-----------------------------------------------------
% 3.07/3.53
% 3.07/3.53 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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