%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE003+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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  : 300s
% DateTime : Thu Aug 31 05:26:46 EDT 2023

% Result   : Theorem 0.13s 0.39s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : KLE003+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.09  % Command    : do_cvc5 %s %d
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Aug 29 11:57:16 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.13/0.37  %----Proving TF0_NAR, FOF, or CNF
% 0.13/0.39  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.L0YcmiEYVR/cvc5---1.0.5_4971.p...
% 0.13/0.39  ------- get file name : TPTP file name is KLE003+1
% 0.13/0.39  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4971.smt2...
% 0.13/0.39  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.13/0.39  % SZS status Theorem for KLE003+1
% 0.13/0.39  % SZS output start Proof for KLE003+1
% 0.13/0.39  (
% 0.13/0.39  (let ((_let_1 (tptp.addition tptp.one tptp.one))) (let ((_let_2 (not (= (forall ((X0 $$unsorted)) (= (tptp.addition X0 X0) X0)) (= _let_1 tptp.one))))) (let ((_let_3 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_4 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_5 (= tptp.one _let_1))) (let ((_let_6 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_7 (forall ((X0 $$unsorted)) (= X0 (tptp.addition X0 X0))))) (let ((_let_8 (not _let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_6 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_4))) :args ((or _let_5 _let_8))) (MACRO_RESOLUTION_TRUST (NOT_EQUIV_ELIM2 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_4 (= A X0)))) :args ((or _let_7 _let_8))) _let_6 :args (_let_7 false _let_4)) :args ((not _let_5) false _let_7)) _let_6 :args (false true _let_5 false _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_2 true)))))))))))
% 0.13/0.39  )
% 0.13/0.39  % SZS output end Proof for KLE003+1
% 0.13/0.39  % cvc5---1.0.5 exiting
% 0.13/0.39  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------