TSTP Solution File: SWW180+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW180+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 00:47:01 EDT 2022
% Result : Theorem 61.52s 59.45s
% Output : Proof 61.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW180+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n026.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 : Sun Jun 5 15:29:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 61.52/59.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.52/59.46 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.52/59.47
% 61.52/59.47 %-----------------------------------------------------
% 61.52/59.47 fof(conj_0, conjecture, c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 61.52/59.47 fof(fact_order__refl, axiom, ! [_412579, _412582] : (class_Orderings_Opreorder(_412582) => c_Orderings_Oord__class_Oless__eq(_412582, _412579, _412579)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_order__refl)).
% 61.52/59.47 fof(fact_add__increasing, axiom, ! [_412818, _412821, _412824, _412827] : (class_Groups_Oordered__comm__monoid__add(_412827) => c_Orderings_Oord__class_Oless__eq(_412827, c_Groups_Ozero__class_Ozero(_412827), _412824) => c_Orderings_Oord__class_Oless__eq(_412827, _412821, _412818) => c_Orderings_Oord__class_Oless__eq(_412827, _412821, c_Groups_Oplus__class_Oplus(_412827, _412824, _412818))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_add__increasing)).
% 61.52/59.47 fof(fact_add__mono, axiom, ! [_413141, _413144, _413147, _413150, _413153] : (class_Groups_Oordered__ab__semigroup__add(_413153) => c_Orderings_Oord__class_Oless__eq(_413153, _413150, _413147) => c_Orderings_Oord__class_Oless__eq(_413153, _413144, _413141) => c_Orderings_Oord__class_Oless__eq(_413153, c_Groups_Oplus__class_Oplus(_413153, _413150, _413144), c_Groups_Oplus__class_Oplus(_413153, _413147, _413141))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_add__mono)).
% 61.52/59.47 fof(fact_abs__le__D1, axiom, ! [_413455, _413458, _413461] : (class_Groups_Oordered__ab__group__add__abs(_413461) => c_Orderings_Oord__class_Oless__eq(_413461, c_Groups_Oabs__class_Oabs(_413461, _413458), _413455) => c_Orderings_Oord__class_Oless__eq(_413461, _413458, _413455)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_abs__le__D1)).
% 61.52/59.47 fof(fact_zero__le__one, axiom, ! [_413744] : (class_Rings_Olinordered__semidom(_413744) => c_Orderings_Oord__class_Oless__eq(_413744, c_Groups_Ozero__class_Ozero(_413744), c_Groups_Oone__class_Oone(_413744))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_zero__le__one)).
% 61.52/59.47 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add, axiom, class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add)).
% 61.52/59.47 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs, axiom, class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs)).
% 61.52/59.47 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add, axiom, class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add)).
% 61.52/59.47 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom, axiom, class_Rings_Olinordered__semidom(tc_RealDef_Oreal), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_RealDef__Oreal__Rings_Olinordered__semidom)).
% 61.52/59.47 fof(arity_RealDef__Oreal__Orderings_Opreorder, axiom, class_Orderings_Opreorder(tc_RealDef_Oreal), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_RealDef__Oreal__Orderings_Opreorder)).
% 61.52/59.47
% 61.52/59.47 cnf(1, plain, [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____))))], clausify(conj_0)).
% 61.52/59.47 cnf(2, plain, [class_Orderings_Opreorder(_66238), -(c_Orderings_Oord__class_Oless__eq(_66238, _66237, _66237))], clausify(fact_order__refl)).
% 61.52/59.47 cnf(3, plain, [class_Groups_Oordered__comm__monoid__add(_70440), c_Orderings_Oord__class_Oless__eq(_70440, c_Groups_Ozero__class_Ozero(_70440), _70439), c_Orderings_Oord__class_Oless__eq(_70440, _70438, _70437), -(c_Orderings_Oord__class_Oless__eq(_70440, _70438, c_Groups_Oplus__class_Oplus(_70440, _70439, _70437)))], clausify(fact_add__increasing)).
% 61.52/59.47 cnf(4, plain, [class_Groups_Oordered__ab__semigroup__add(_73447), c_Orderings_Oord__class_Oless__eq(_73447, _73446, _73445), c_Orderings_Oord__class_Oless__eq(_73447, _73444, _73443), -(c_Orderings_Oord__class_Oless__eq(_73447, c_Groups_Oplus__class_Oplus(_73447, _73446, _73444), c_Groups_Oplus__class_Oplus(_73447, _73445, _73443)))], clausify(fact_add__mono)).
% 61.52/59.47 cnf(5, plain, [class_Groups_Oordered__ab__group__add__abs(_74632), c_Orderings_Oord__class_Oless__eq(_74632, c_Groups_Oabs__class_Oabs(_74632, _74631), _74630), -(c_Orderings_Oord__class_Oless__eq(_74632, _74631, _74630))], clausify(fact_abs__le__D1)).
% 61.52/59.47 cnf(6, plain, [class_Rings_Olinordered__semidom(_79247), -(c_Orderings_Oord__class_Oless__eq(_79247, c_Groups_Ozero__class_Ozero(_79247), c_Groups_Oone__class_Oone(_79247)))], clausify(fact_zero__le__one)).
% 61.52/59.47 cnf(7, plain, [-(class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add)).
% 61.52/59.47 cnf(8, plain, [-(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs)).
% 61.52/59.47 cnf(9, plain, [-(class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add)).
% 61.52/59.47 cnf(10, plain, [-(class_Rings_Olinordered__semidom(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Rings_Olinordered__semidom)).
% 61.52/59.47 cnf(11, plain, [-(class_Orderings_Opreorder(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Orderings_Opreorder)).
% 61.52/59.47
% 61.52/59.47 cnf('1',plain,[c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____))))],start(1)).
% 61.52/59.47 cnf('1.1',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____))))), class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____))), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____)))],extension(4,bind([[_73446, _73445, _73447, _73444, _73443], [c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)), tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____))]]))).
% 61.52/59.47 cnf('1.1.1',plain,[-(class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal))],extension(7)).
% 61.52/59.47 cnf('1.1.2',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)))), class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____))],extension(3,bind([[_70439, _70440, _70438, _70437], [c_Groups_Oone__class_Oone(tc_RealDef_Oreal), tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)]]))).
% 61.52/59.47 cnf('1.1.2.1',plain,[-(class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal))],extension(9)).
% 61.52/59.47 cnf('1.1.2.2',plain,[-(c_Orderings_Oord__class_Oless__eq(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(6,bind([[_79247], [tc_RealDef_Oreal]]))).
% 61.52/59.47 cnf('1.1.2.2.1',plain,[-(class_Rings_Olinordered__semidom(tc_RealDef_Oreal))],extension(10)).
% 61.52/59.47 cnf('1.1.2.3',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____))), class_Orderings_Opreorder(tc_RealDef_Oreal)],extension(2,bind([[_66237, _66238], [c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____), tc_RealDef_Oreal]]))).
% 61.52/59.47 cnf('1.1.2.3.1',plain,[-(class_Orderings_Opreorder(tc_RealDef_Oreal))],extension(11)).
% 61.52/59.47 cnf('1.1.3',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____)))), 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, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____)), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____)))],extension(5,bind([[_74632, _74631, _74630], [tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____))]]))).
% 61.52/59.47 cnf('1.1.3.1',plain,[-(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal))],extension(8)).
% 61.52/59.47 cnf('1.1.3.2',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____)), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____)))), class_Orderings_Opreorder(tc_RealDef_Oreal)],extension(2,bind([[_66237, _66238], [c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_r), v_m____)), tc_RealDef_Oreal]]))).
% 61.52/59.47 cnf('1.1.3.2.1',plain,[-(class_Orderings_Opreorder(tc_RealDef_Oreal))],extension(11)).
% 61.52/59.47 %-----------------------------------------------------
% 61.65/59.47
% 61.65/59.47 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------