TSTP Solution File: SWW229+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWW229+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 00:47:06 EDT 2022

% Result   : Theorem 0.50s 1.43s
% Output   : Proof 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWW229+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14  % Command  : leancop_casc.sh %s %d
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun  5 19:42:47 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.50/1.43  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/1.43  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/1.44  
% 0.50/1.44  %-----------------------------------------------------
% 0.50/1.44  fof(conj_0, conjecture, c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_g____(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_z____)))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_g____(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_z____)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 0.50/1.44  fof(fact_norm__triangle__ineq3, axiom, ! [_696165, _696168, _696171] : (class_RealVector_Oreal__normed__vector(_696171) => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_696171, _696168), c_RealVector_Onorm__class_Onorm(_696171, _696165))), c_RealVector_Onorm__class_Onorm(_696171, c_Groups_Ominus__class_Ominus(_696171, _696168, _696165)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_norm__triangle__ineq3)).
% 0.50/1.44  fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector, axiom, class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)).
% 0.50/1.44  
% 0.50/1.44  cnf(1, plain, [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_g____(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_z____)))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_g____(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_z____))))], clausify(conj_0)).
% 0.50/1.44  cnf(2, plain, [class_RealVector_Oreal__normed__vector(_59073), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_59073, _59072), c_RealVector_Onorm__class_Onorm(_59073, _59071))), c_RealVector_Onorm__class_Onorm(_59073, c_Groups_Ominus__class_Ominus(_59073, _59072, _59071))))], clausify(fact_norm__triangle__ineq3)).
% 0.50/1.44  cnf(3, plain, [-(class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))], clausify(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)).
% 0.50/1.44  
% 0.50/1.44  cnf('1',plain,[c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_g____(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_z____)))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_g____(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_z____))))],start(1)).
% 0.50/1.44  cnf('1.1',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_g____(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____))))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_z____)))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_g____(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_z____))))), class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)],extension(2,bind([[_59072, _59071, _59073], [hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_g____(hAPP(v_f____, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____)))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), v_z____), tc_Complex_Ocomplex]]))).
% 0.50/1.44  cnf('1.1.1',plain,[-(class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))],extension(3)).
% 0.50/1.44  %-----------------------------------------------------
% 0.59/1.44  
% 0.59/1.45  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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