TSTP Solution File: SWW236+1 by leanCoP---2.2

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWW236+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n024.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 180.79s 174.39s
% Output   : Proof 180.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWW236+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n024.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 15:42:05 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 180.79/174.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 180.79/174.40  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 180.84/174.40  
% 180.84/174.40  %-----------------------------------------------------
% 180.84/174.40  fof(fact_norm__mult, axiom, ! [_942940, _942943, _942946] : (class_RealVector_Oreal__normed__div__algebra(_942946) => c_RealVector_Onorm__class_Onorm(_942946, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_942946), _942943), _942940)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_942946, _942943)), c_RealVector_Onorm__class_Onorm(_942946, _942940))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_norm__mult)).
% 180.84/174.40  fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra, axiom, class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra)).
% 180.84/174.40  fof(arity_RealDef__Oreal__Orderings_Oorder, axiom, class_Orderings_Oorder(tc_RealDef_Oreal), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_RealDef__Oreal__Orderings_Oorder)).
% 180.84/174.40  fof(fact__0960_A_060_Acmod_Ac_096, axiom, c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact__0960_A_060_Acmod_Ac_096)).
% 180.84/174.40  fof(fact_h, axiom, c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_aa____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_h)).
% 180.84/174.40  fof(fact_pos__divide__le__eq, axiom, ! [_944360, _944363, _944366, _944369] : (class_Fields_Olinordered__field(_944369) => c_Orderings_Oord__class_Oless(_944369, c_Groups_Ozero__class_Ozero(_944369), _944366) => (c_Orderings_Oord__class_Oless__eq(_944369, c_Rings_Oinverse__class_Odivide(_944369, _944363, _944366), _944360) <=> c_Orderings_Oord__class_Oless__eq(_944369, _944363, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_944369), _944360), _944366)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_pos__divide__le__eq)).
% 180.84/174.40  fof(fact_xt1_I3_J, axiom, ! [_944778, _944781, _944784, _944787] : (class_Orderings_Oorder(_944787) => _944784 = _944781 => c_Orderings_Oord__class_Oless__eq(_944787, _944778, _944781) => c_Orderings_Oord__class_Oless__eq(_944787, _944778, _944784)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_xt1_I3_J)).
% 180.84/174.40  fof(conj_0, conjecture, 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____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_aa____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), v_z____), v_c____))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 180.84/174.40  fof(arity_RealDef__Oreal__Fields_Olinordered__field, axiom, class_Fields_Olinordered__field(tc_RealDef_Oreal), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_RealDef__Oreal__Fields_Olinordered__field)).
% 180.84/174.40  
% 180.84/174.40  cnf(1, plain, [class_RealVector_Oreal__normed__div__algebra(_69307), -(c_RealVector_Onorm__class_Onorm(_69307, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_69307), _69306), _69305)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_69307, _69306)), c_RealVector_Onorm__class_Onorm(_69307, _69305)))], clausify(fact_norm__mult)).
% 180.84/174.40  cnf(2, plain, [-(class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))], clausify(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra)).
% 180.84/174.40  cnf(3, plain, [-(class_Orderings_Oorder(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Orderings_Oorder)).
% 180.84/174.40  cnf(4, plain, [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)))], clausify(fact__0960_A_060_Acmod_Ac_096)).
% 180.84/174.40  cnf(5, plain, [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_aa____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z____)))], clausify(fact_h)).
% 180.84/174.40  cnf(6, plain, [class_Fields_Olinordered__field(_90043), c_Orderings_Oord__class_Oless(_90043, c_Groups_Ozero__class_Ozero(_90043), _90042), c_Orderings_Oord__class_Oless__eq(_90043, c_Rings_Oinverse__class_Odivide(_90043, _90041, _90042), _90040), -(c_Orderings_Oord__class_Oless__eq(_90043, _90041, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_90043), _90040), _90042)))], clausify(fact_pos__divide__le__eq)).
% 180.84/174.40  cnf(7, plain, [class_Orderings_Oorder(_74043), _74042 = _74041, c_Orderings_Oord__class_Oless__eq(_74043, _74040, _74041), -(c_Orderings_Oord__class_Oless__eq(_74043, _74040, _74042))], clausify(fact_xt1_I3_J)).
% 180.84/174.40  cnf(8, 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____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_aa____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), v_z____), v_c____)))], clausify(conj_0)).
% 180.84/174.40  cnf(9, plain, [-(class_Fields_Olinordered__field(tc_RealDef_Oreal))], clausify(arity_RealDef__Oreal__Fields_Olinordered__field)).
% 180.84/174.40  
% 180.84/174.40  cnf('1',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____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_aa____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), v_z____), v_c____)))],start(8)).
% 180.84/174.40  cnf('1.1',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____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_aa____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), v_z____), v_c____)))), class_Orderings_Oorder(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), v_z____), v_c____)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)), 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____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_aa____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)))],extension(7,bind([[_74042, _74043, _74040, _74041], [c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), v_z____), v_c____)), tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_aa____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____))]]))).
% 180.84/174.40  cnf('1.1.1',plain,[-(class_Orderings_Oorder(tc_RealDef_Oreal))],extension(3)).
% 180.84/174.40  cnf('1.1.2',plain,[-(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), v_z____), v_c____)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____))), class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)],extension(1,bind([[_69306, _69305, _69307], [v_z____, v_c____, tc_Complex_Ocomplex]]))).
% 180.84/174.40  cnf('1.1.2.1',plain,[-(class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))],extension(2)).
% 180.84/174.40  cnf('1.1.3',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____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_aa____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)))), class_Fields_Olinordered__field(tc_RealDef_Oreal), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_aa____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z____))],extension(6,bind([[_90043, _90041, _90042, _90040], [tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_aa____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z____)]]))).
% 180.84/174.40  cnf('1.1.3.1',plain,[-(class_Fields_Olinordered__field(tc_RealDef_Oreal))],extension(9)).
% 180.84/174.40  cnf('1.1.3.2',plain,[-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)))],extension(4)).
% 180.84/174.40  cnf('1.1.3.3',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v_da____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_aa____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_c____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z____)))],extension(5)).
% 180.84/174.40  %-----------------------------------------------------
% 180.84/174.41  
% 180.85/174.41  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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