%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE069+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 05:27:09 EDT 2023

% Result   : Theorem 10.64s 10.89s
% Output   : Proof 10.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KLE069+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 11:35:26 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 10.64/10.89  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Y0HJssDR0d/cvc5---1.0.5_17605.p...
% 10.64/10.89  ------- get file name : TPTP file name is KLE069+1
% 10.64/10.89  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17605.smt2...
% 10.64/10.89  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.64/10.89  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.64/10.89  % SZS status Theorem for KLE069+1
% 10.64/10.89  % SZS output start Proof for KLE069+1
% 10.64/10.89  (
% 10.64/10.89  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (= (tptp.multiplication _let_1 (tptp.addition _let_1 (tptp.domain X1))) _let_1)))))) (let ((_let_2 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_4 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_10 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.multiplication _let_11 (tptp.addition _let_11 _let_10)))) (let ((_let_13 (= _let_11 _let_12))) (let ((_let_14 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_15 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_14))) (let ((_let_16 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_17 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_19 (tptp.addition _let_11 tptp.one))) (let ((_let_20 (= tptp.one _let_19))) (let ((_let_21 (tptp.addition _let_10 tptp.one))) (let ((_let_22 (= tptp.one _let_21))) (let ((_let_23 (tptp.multiplication _let_11 tptp.one))) (let ((_let_24 (= _let_11 _let_23))) (let ((_let_25 (tptp.multiplication tptp.one _let_11))) (let ((_let_26 (= _let_11 _let_25))) (let ((_let_27 (tptp.multiplication (tptp.domain _let_11) _let_11))) (let ((_let_28 (= _let_27 (tptp.addition _let_11 _let_27)))) (let ((_let_29 (= (tptp.domain _let_17) (tptp.domain _let_25)))) (let ((_let_30 (tptp.addition tptp.one _let_11))) (let ((_let_31 (= _let_19 _let_30))) (let ((_let_32 (tptp.multiplication _let_11 _let_11))) (let ((_let_33 (= (tptp.multiplication _let_11 _let_30) (tptp.addition _let_23 _let_32)))) (let ((_let_34 (tptp.addition tptp.one _let_10))) (let ((_let_35 (= _let_21 _let_34))) (let ((_let_36 (tptp.multiplication _let_11 _let_10))) (let ((_let_37 (= _let_12 (tptp.addition _let_32 _let_36)))) (let ((_let_38 (= (tptp.multiplication _let_11 _let_34) (tptp.addition _let_23 _let_36)))) (let ((_let_39 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (= _let_1 (tptp.multiplication _let_1 (tptp.addition _let_1 (tptp.domain X1)))))))) (let ((_let_40 (not _let_13))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (or))) (let ((_let_43 (_let_40))) (let ((_let_44 (not _let_39))) (let ((_let_45 (_let_9))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_50 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_50))) (let ((_let_53 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_11 QUANTIFIERS_INST_ENUM))) (let ((_let_59 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_3))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (_let_5))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (not _let_38))) (let ((_let_66 (_let_65))) (let ((_let_67 (ASSUME :args (_let_38)))) (let ((_let_68 (ASSUME :args _let_43))) (let ((_let_69 (ASSUME :args (_let_37)))) (let ((_let_70 (APPLY_UF tptp.addition))) (let ((_let_71 (APPLY_UF tptp.multiplication))) (let ((_let_72 (REFL :args (_let_11)))) (let ((_let_73 (APPLY_UF tptp.domain))) (let ((_let_74 (ASSUME :args (_let_16)))) (let ((_let_75 (ASSUME :args (_let_15)))) (let ((_let_76 (SYMM _let_75))) (let ((_let_77 (ASSUME :args (_let_18)))) (let ((_let_78 (ASSUME :args (_let_29)))) (let ((_let_79 (ASSUME :args (_let_26)))) (let ((_let_80 (CONG (TRANS (CONG (SYMM (SYMM _let_79)) :args _let_73) (SYMM _let_78) (CONG (TRANS (SYMM _let_77) _let_74 _let_76) :args _let_73) (CONG (TRANS (SYMM _let_76) (SYMM _let_74)) :args _let_73)) _let_72 :args _let_71))) (let ((_let_81 (ASSUME :args (_let_28)))) (let ((_let_82 (ASSUME :args (_let_24)))) (let ((_let_83 (SYMM _let_82))) (let ((_let_84 (ASSUME :args (_let_33)))) (let ((_let_85 (ASSUME :args (_let_31)))) (let ((_let_86 (ASSUME :args (_let_20)))) (let ((_let_87 (ASSUME :args (_let_22)))) (let ((_let_88 (ASSUME :args (_let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_67 (MODUS_PONENS (AND_INTRO _let_82 _let_87 _let_88 _let_68 _let_69 _let_74 _let_75 _let_77 _let_78 _let_79 _let_81 _let_84 _let_85 _let_86) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_72 (TRANS (SYMM _let_88) (SYMM _let_87)) :args _let_71) _let_83) (TRANS (CONG (TRANS _let_83 (TRANS _let_82 (CONG _let_72 (TRANS (SYMM (SYMM _let_86)) (SYMM (SYMM _let_85))) :args _let_71) (SYMM (SYMM _let_84)) (CONG _let_83 (SYMM _let_80) :args _let_70) (SYMM _let_81) _let_80)) (REFL :args (_let_36)) :args _let_70) (SYMM _let_69)) :args (=)) (FALSE_INTRO _let_68))) :args (_let_24 _let_22 _let_35 _let_40 _let_37 _let_16 _let_15 _let_18 _let_29 _let_26 _let_28 _let_33 _let_31 _let_20)))) :args (_let_40 _let_15 _let_16 _let_18 _let_20 _let_22 _let_24 _let_26 _let_28 _let_29 _let_31 _let_33 _let_35 _let_37 _let_38)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_66))) (TRUE_INTRO (SYMM (SYMM _let_67))))) :args (_let_38 _let_65)) :args ((not (and _let_40 _let_15 _let_16 _let_18 _let_20 _let_22 _let_24 _let_26 _let_28 _let_29 _let_31 _let_33 _let_35 _let_37 _let_38)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_13))) (REFL :args ((not _let_15))) (REFL :args ((not _let_16))) (REFL :args ((not _let_18))) (REFL :args ((not _let_20))) (REFL :args ((not _let_22))) (REFL :args ((not _let_24))) (REFL :args ((not _let_26))) (REFL :args ((not _let_28))) (REFL :args ((not _let_29))) (REFL :args ((not _let_31))) (REFL :args ((not _let_33))) (REFL :args ((not _let_35))) (REFL :args ((not _let_37))) (REFL :args _let_66) :args _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_11 tptp.one _let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) _let_64 :args (_let_38 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_11 _let_11 _let_10 QUANTIFIERS_INST_ENUM)) :args _let_63)) _let_64 :args (_let_37 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_10 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_45)) _let_46 :args (_let_35 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_11 tptp.one _let_11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_63)) _let_64 :args (_let_33 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_11 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_45)) _let_46 :args (_let_31 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_61)) _let_62 :args (_let_29 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args _let_58) :args (_let_59))) _let_60 :args (_let_28 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args _let_58) :args _let_52)) _let_51 :args (_let_26 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args _let_58) :args (_let_56))) _let_57 :args (_let_24 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_55)) _let_54 :args (_let_22 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args _let_49) :args _let_55)) _let_54 :args (_let_20 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args _let_49) :args _let_52)) _let_51 :args (_let_18 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args _let_49) :args (_let_47))) _let_48 :args (_let_16 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_45)) _let_46 :args (_let_15 false _let_9)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_41) :args (_let_44))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_39))) (REFL :args _let_43) :args _let_42)) _let_41 :args (_let_40 true _let_39)) :args (false false _let_38 false _let_37 false _let_35 false _let_33 false _let_31 false _let_29 false _let_28 false _let_26 false _let_24 false _let_22 false _let_20 false _let_18 false _let_16 false _let_15 true _let_13)) :args (_let_9 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_8 (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_7 _let_6 _let_5 (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 $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_4 _let_3 _let_2 (= (tptp.domain tptp.zero) tptp.zero) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.64/10.90  )
% 10.64/10.90  % SZS output end Proof for KLE069+1
% 10.64/10.90  % cvc5---1.0.5 exiting
% 10.64/10.90  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------