%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE083+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 05:27:12 EDT 2023

% Result   : Theorem 11.46s 11.73s
% Output   : Proof 11.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : KLE083+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n026.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Aug 29 12:44:35 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.53  %----Proving TF0_NAR, FOF, or CNF
% 11.46/11.73  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3iXroLXYL2/cvc5---1.0.5_23535.p...
% 11.46/11.73  ------- get file name : TPTP file name is KLE083+1
% 11.46/11.73  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23535.smt2...
% 11.46/11.73  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.46/11.73  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.46/11.73  % SZS status Theorem for KLE083+1
% 11.46/11.73  % SZS output start Proof for KLE083+1
% 11.46/11.73  (
% 11.46/11.73  (let ((_let_1 (forall ((X0 $$unsorted)) (= X0 (tptp.multiplication (tptp.domain X0) X0))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.addition (tptp.coantidomain _let_1) _let_1) tptp.one))))) (let ((_let_4 (forall ((X0 $$unsorted)) (= (tptp.multiplication X0 (tptp.coantidomain X0)) tptp.zero)))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))))) (let ((_let_6 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))))) (let ((_let_7 (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_11 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.multiplication _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12))) (let ((_let_14 (tptp.coantidomain tptp.one))) (let ((_let_15 (tptp.multiplication tptp.one _let_14))) (let ((_let_16 (= tptp.zero _let_15))) (let ((_let_17 (tptp.coantidomain _let_14))) (let ((_let_18 (= tptp.one (tptp.addition _let_17 _let_14)))) (let ((_let_19 (= _let_14 _let_15))) (let ((_let_20 (= _let_17 (tptp.addition _let_17 tptp.zero)))) (let ((_let_21 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_22 (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.multiplication _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (= tptp.zero _let_23))) (let ((_let_25 (tptp.antidomain _let_22))) (let ((_let_26 (tptp.addition _let_25 _let_22))) (let ((_let_27 (= tptp.one _let_26))) (let ((_let_28 (= _let_11 _let_25))) (let ((_let_29 (= _let_12 (tptp.addition _let_12 tptp.zero)))) (let ((_let_30 (= (tptp.multiplication _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition (tptp.multiplication _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_23)))) (let ((_let_31 (not _let_13))) (let ((_let_32 (_let_2))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (or))) (let ((_let_35 (_let_31))) (let ((_let_36 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication X0 (tptp.coantidomain X0)))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_39 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= tptp.one (tptp.addition (tptp.coantidomain _let_1) _let_1)))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_48 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= tptp.one (tptp.addition (tptp.antidomain _let_1) _let_1)))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_5))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (_let_8))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (not _let_30))) (let ((_let_57 (_let_56))) (let ((_let_58 (ASSUME :args (_let_30)))) (let ((_let_59 (ASSUME :args _let_35))) (let ((_let_60 (ASSUME :args (_let_29)))) (let ((_let_61 (APPLY_UF tptp.addition))) (let ((_let_62 (ASSUME :args (_let_24)))) (let ((_let_63 (APPLY_UF tptp.multiplication))) (let ((_let_64 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_65 (ASSUME :args (_let_28)))) (let ((_let_66 (ASSUME :args (_let_21)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (ASSUME :args (_let_18)))) (let ((_let_69 (ASSUME :args (_let_19)))) (let ((_let_70 (ASSUME :args (_let_16)))) (let ((_let_71 (ASSUME :args (_let_20)))) (let ((_let_72 (TRANS (SYMM (SYMM _let_71)) (CONG (REFL :args (_let_17)) (TRANS (SYMM (SYMM _let_70)) (SYMM _let_69)) :args _let_61) (SYMM _let_68)))) (let ((_let_73 (ASSUME :args (_let_27)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_58 (MODUS_PONENS (AND_INTRO _let_65 _let_62 _let_60 _let_73 _let_66 _let_69 _let_68 _let_71 _let_70 _let_59) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (SYMM _let_73) _let_66 :args _let_63) (CONG (SYMM _let_72) _let_67 :args _let_63) (CONG _let_72 _let_64 :args _let_63) _let_67) (TRANS (CONG (CONG (SYMM _let_65) _let_64 :args _let_63) (SYMM _let_62) :args _let_61) (SYMM _let_60)) :args (=)) (FALSE_INTRO _let_59))) :args (_let_28 _let_24 _let_29 _let_27 _let_21 _let_19 _let_18 _let_20 _let_16 _let_31)))) :args (_let_31 _let_16 _let_18 _let_19 _let_20 _let_21 _let_24 _let_27 _let_28 _let_29 _let_30)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_57))) (TRUE_INTRO (SYMM (SYMM _let_58))))) :args (_let_30 _let_56)) :args ((not (and _let_31 _let_16 _let_18 _let_19 _let_20 _let_21 _let_24 _let_27 _let_28 _let_29 _let_30)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_13))) (REFL :args ((not _let_16))) (REFL :args ((not _let_18))) (REFL :args ((not _let_19))) (REFL :args ((not _let_20))) (REFL :args ((not _let_21))) (REFL :args ((not _let_24))) (REFL :args ((not _let_27))) (REFL :args ((not _let_28))) (REFL :args ((not _let_29))) (REFL :args _let_57) :args _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_25 _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_54)) _let_55 :args (_let_30 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_12 QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_45 :args (_let_29 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args _let_47) :args _let_52)) _let_53 :args (_let_28 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args _let_47) :args (_let_50))) _let_51 :args (_let_27 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_47) :args (_let_48))) _let_49 :args (_let_24 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_47) :args _let_43)) _let_42 :args (_let_21 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_46)) _let_45 :args (_let_20 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_43)) _let_42 :args (_let_19 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args _let_38) :args (_let_39))) _let_40 :args (_let_18 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_38) :args (_let_36))) _let_37 :args (_let_16 false _let_36)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_33) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args _let_35) :args _let_34)) _let_33 :args (_let_31 true _let_1)) :args (false false _let_30 false _let_29 false _let_28 false _let_27 false _let_24 false _let_21 false _let_20 false _let_19 false _let_18 false _let_16 true _let_13)) :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))) _let_10 (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))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) _let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_8 (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_7 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) _let_6 _let_5 _let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) _let_3 (forall ((X0 $$unsorted)) (= (tptp.codomain X0) (tptp.coantidomain (tptp.coantidomain X0)))) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.55/11.74  )
% 11.55/11.74  % SZS output end Proof for KLE083+1
% 11.55/11.74  % cvc5---1.0.5 exiting
% 11.55/11.74  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------