%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE058+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 05:27:07 EDT 2023

% Result   : Theorem 0.16s 0.44s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : KLE058+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11  % Command    : do_cvc5 %s %d
% 0.11/0.31  % Computer : n006.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Aug 29 12:09:21 EDT 2023
% 0.16/0.31  % CPUTime    : 
% 0.16/0.41  %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.44  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.IFSZG5EFam/cvc5---1.0.5_3308.p...
% 0.16/0.44  ------- get file name : TPTP file name is KLE058+1
% 0.16/0.44  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3308.smt2...
% 0.16/0.44  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.44  % SZS status Theorem for KLE058+1
% 0.16/0.44  % SZS output start Proof for KLE058+1
% 0.16/0.44  (
% 0.16/0.44  (let ((_let_1 (tptp.domain tptp.one))) (let ((_let_2 (not (= _let_1 tptp.one)))) (let ((_let_3 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_4 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_7 (= tptp.one _let_1))) (let ((_let_8 (tptp.multiplication _let_1 tptp.one))) (let ((_let_9 (= _let_8 (tptp.addition tptp.one _let_8)))) (let ((_let_10 (tptp.addition _let_1 tptp.one))) (let ((_let_11 (= tptp.one _let_10))) (let ((_let_12 (= _let_10 (tptp.addition tptp.one _let_1)))) (let ((_let_13 (= _let_1 _let_8))) (let ((_let_14 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (_let_6))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (and _let_9 _let_11 _let_12 _let_13))) (let ((_let_23 (ASSUME :args (_let_13)))) (let ((_let_24 (ASSUME :args (_let_9)))) (let ((_let_25 (ASSUME :args (_let_12)))) (let ((_let_26 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_22)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_23 _let_24 _let_25 _let_26) (SCOPE (TRANS (SYMM (SYMM _let_26)) (SYMM (SYMM _let_25)) (CONG (REFL :args (tptp.one)) _let_23 :args (APPLY_UF tptp.addition)) (SYMM _let_24) (SYMM _let_23)) :args (_let_13 _let_9 _let_12 _let_11))) :args (_let_9 _let_11 _let_12 _let_13))) :args (true _let_22)) :args ((or _let_7 (not _let_9) (not _let_11) (not _let_12) (not _let_13)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication A tptp.one)))) :args (_let_20))) _let_21 :args (_let_13 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_1 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args _let_18)) _let_19 :args (_let_12 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X0)))) :args (_let_16))) _let_17 :args (_let_11 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X0)))) :args (_let_14))) _let_15 :args (_let_9 false _let_14)) (SYMM (ASSUME :args (_let_2))) :args (false false _let_13 false _let_12 false _let_11 false _let_9 true _let_7)) :args (_let_6 (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)) (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_5 (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 $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))) _let_3 (= (tptp.domain tptp.zero) tptp.zero) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))) _let_2 true)))))))))))))))))))))))))))))
% 0.16/0.45  )
% 0.16/0.45  % SZS output end Proof for KLE058+1
% 0.16/0.45  % cvc5---1.0.5 exiting
% 0.16/0.45  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------