TSTP Solution File: SWW204+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWW204+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n025.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 0.55s 1.41s
% Output   : Proof 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWW204+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n025.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 : Sat Jun  4 10:35:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.55/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/1.42  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/1.42  
% 0.55/1.42  %-----------------------------------------------------
% 0.55/1.42  fof(conj_0, conjecture, hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), v_r)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 0.55/1.42  fof(fact_assms, axiom, ! [_683962] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(v_s, _683962))), v_r)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_assms)).
% 0.55/1.42  fof(fact_real__le__trans, axiom, ! [_684130, _684133, _684136] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _684136), _684133)) => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _684133), _684130)) => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _684136), _684130))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_real__le__trans)).
% 0.55/1.42  fof(fact__0960_A_060_061_Acmod_A_Is_A0_J_096, axiom, hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(v_s, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact__0960_A_060_061_Acmod_A_Is_A0_J_096)).
% 0.55/1.42  
% 0.55/1.42  cnf(1, plain, [hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), v_r))], clausify(conj_0)).
% 0.55/1.42  cnf(2, plain, [-(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(v_s, _73422))), v_r)))], clausify(fact_assms)).
% 0.55/1.42  cnf(3, plain, [hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _73587), _73586)), hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _73586), _73585)), -(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _73587), _73585)))], clausify(fact_real__le__trans)).
% 0.55/1.42  cnf(4, plain, [-(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(v_s, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))], clausify(fact__0960_A_060_061_Acmod_A_Is_A0_J_096)).
% 0.55/1.42  
% 0.55/1.42  cnf('1',plain,[hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), v_r))],start(1)).
% 0.55/1.42  cnf('1.1',plain,[-(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__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(v_s, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(v_s, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), v_r))],extension(3,bind([[_73587, _73586, _73585], [c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(v_s, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), v_r]]))).
% 0.55/1.42  cnf('1.1.1',plain,[-(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(v_s, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))],extension(4)).
% 0.55/1.42  cnf('1.1.2',plain,[-(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(v_s, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), v_r)))],extension(2,bind([[_73422], [c_Groups_Ozero__class_Ozero(tc_Nat_Onat)]]))).
% 0.55/1.42  %-----------------------------------------------------
% 0.55/1.43  
% 0.55/1.43  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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