TSTP Solution File: SWW237+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW237+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% 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 : 600s
% DateTime : Thu Jul 21 00:47:07 EDT 2022
% Result : Theorem 44.39s 43.78s
% Output : Proof 44.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW237+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 5 11:05:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 44.39/43.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.47/43.78 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.47/43.79
% 44.47/43.79 %-----------------------------------------------------
% 44.47/43.79 fof(fact_add__le__cancel__right, axiom, ! [_649019, _649022, _649025, _649028] : (class_Groups_Oordered__ab__semigroup__add__imp__le(_649028) => (c_Orderings_Oord__class_Oless__eq(_649028, c_Groups_Oplus__class_Oplus(_649028, _649025, _649022), c_Groups_Oplus__class_Oplus(_649028, _649019, _649022)) <=> c_Orderings_Oord__class_Oless__eq(_649028, _649025, _649019))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__le__cancel__right)).
% 44.47/43.79 fof(conj_2, conjecture, c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____, v_mazh), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_2)).
% 44.47/43.79 fof(fact_abs__le__D1, axiom, ! [_649438, _649441, _649444] : (class_Groups_Oordered__ab__group__add__abs(_649444) => c_Orderings_Oord__class_Oless__eq(_649444, c_Groups_Oabs__class_Oabs(_649444, _649441), _649438) => c_Orderings_Oord__class_Oless__eq(_649444, _649441, _649438)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_abs__le__D1)).
% 44.47/43.79 fof(fact_xt1_I6_J, axiom, ! [_649682, _649685, _649688, _649691] : (class_Orderings_Oorder(_649691) => c_Orderings_Oord__class_Oless__eq(_649691, _649688, _649685) => c_Orderings_Oord__class_Oless__eq(_649691, _649682, _649688) => c_Orderings_Oord__class_Oless__eq(_649691, _649682, _649685)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_xt1_I6_J)).
% 44.47/43.79 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le, axiom, class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le)).
% 44.47/43.79 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs, axiom, class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs)).
% 44.47/43.79 fof(arity_RealDef__Oreal__Orderings_Oorder, axiom, class_Orderings_Oorder(tc_RealDef_Oreal), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_RealDef__Oreal__Orderings_Oorder)).
% 44.47/43.79 fof(conj_0, hypothesis, c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_mzh, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v_mazh, v_ma)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)).
% 44.47/43.79 fof(conj_1, hypothesis, c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), v_ma), v_mzh), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)).
% 44.47/43.79
% 44.47/43.79 cnf(1, plain, [-(2 ^ [_68981, _68980, _68979, _68978]), c_Orderings_Oord__class_Oless__eq(_68981, c_Groups_Oplus__class_Oplus(_68981, _68980, _68979), c_Groups_Oplus__class_Oplus(_68981, _68978, _68979)), -(c_Orderings_Oord__class_Oless__eq(_68981, _68980, _68978))], clausify(fact_add__le__cancel__right)).
% 44.47/43.79 cnf(2, plain, [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____, v_mazh)], clausify(conj_2)).
% 44.47/43.79 cnf(3, plain, [class_Groups_Oordered__ab__group__add__abs(_68927), c_Orderings_Oord__class_Oless__eq(_68927, c_Groups_Oabs__class_Oabs(_68927, _68926), _68925), -(c_Orderings_Oord__class_Oless__eq(_68927, _68926, _68925))], clausify(fact_abs__le__D1)).
% 44.47/43.79 cnf(4, plain, [class_Groups_Oordered__ab__semigroup__add__imp__le(_68981), 2 ^ [_68981, _68980, _68979, _68978]], clausify(fact_add__le__cancel__right)).
% 44.47/43.79 cnf(5, plain, [class_Orderings_Oorder(_70408), c_Orderings_Oord__class_Oless__eq(_70408, _70407, _70406), c_Orderings_Oord__class_Oless__eq(_70408, _70405, _70407), -(c_Orderings_Oord__class_Oless__eq(_70408, _70405, _70406))], clausify(fact_xt1_I6_J)).
% 44.47/43.79 cnf(6, plain, [-(class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le)).
% 44.47/43.79 cnf(7, plain, [-(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs)).
% 44.47/43.79 cnf(8, plain, [-(class_Orderings_Oorder(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Orderings_Oorder)).
% 44.47/43.79 cnf(9, plain, [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_mzh, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v_mazh, v_ma)))], clausify(conj_0)).
% 44.47/43.79 cnf(10, plain, [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), v_ma), v_mzh))], clausify(conj_1)).
% 44.47/43.79
% 44.47/43.79 cnf('1',plain,[c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____, v_mazh)],start(2)).
% 44.47/43.79 cnf('1.1',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____, v_mazh)), class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), v_mazh)],extension(3,bind([[_68927, _68926, _68925], [tc_RealDef_Oreal, v_da____, v_mazh]]))).
% 44.47/43.79 cnf('1.1.1',plain,[-(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal))],extension(7)).
% 44.47/43.79 cnf('1.1.2',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), v_mazh)), -(2 ^ [tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), v_ma, v_mazh]), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), v_ma), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v_mazh, v_ma))],extension(1,bind([[_68980, _68981, _68978, _68979], [c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), tc_RealDef_Oreal, v_mazh, v_ma]]))).
% 44.47/43.79 cnf('1.1.2.1',plain,[2 ^ [tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), v_ma, v_mazh], class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)],extension(4,bind([[_68980, _68979, _68978, _68981], [c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), v_ma, v_mazh, tc_RealDef_Oreal]]))).
% 44.47/43.79 cnf('1.1.2.1.1',plain,[-(class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal))],extension(6)).
% 44.47/43.79 cnf('1.1.2.2',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), v_ma), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v_mazh, v_ma))), class_Orderings_Oorder(tc_RealDef_Oreal), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_mzh, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v_mazh, v_ma)), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), v_ma), v_mzh)],extension(5,bind([[_70406, _70408, _70405, _70407], [c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v_mazh, v_ma), tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), v_ma), v_mzh]]))).
% 44.47/43.79 cnf('1.1.2.2.1',plain,[-(class_Orderings_Oorder(tc_RealDef_Oreal))],extension(8)).
% 44.47/43.79 cnf('1.1.2.2.2',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_mzh, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v_mazh, v_ma)))],extension(9)).
% 44.47/43.79 cnf('1.1.2.2.3',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), v_ma), v_mzh))],extension(10)).
% 44.47/43.79 %-----------------------------------------------------
% 44.47/43.79
% 44.47/43.80 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------