%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE061+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 05:27:08 EDT 2023

% Result   : Theorem 10.54s 10.92s
% Output   : Proof 10.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KLE061+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n027.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
% 0.20/0.35  % CPULimit   : 300
% 0.20/0.35  % WCLimit    : 300
% 0.20/0.35  % DateTime   : Tue Aug 29 12:12:08 EDT 2023
% 0.20/0.35  % CPUTime    : 
% 0.21/0.53  %----Proving TF0_NAR, FOF, or CNF
% 10.54/10.92  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.yae8jzyLL2/cvc5---1.0.5_25385.p...
% 10.54/10.92  ------- get file name : TPTP file name is KLE061+1
% 10.54/10.92  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25385.smt2...
% 10.54/10.92  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.54/10.92  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.54/10.92  % SZS status Theorem for KLE061+1
% 10.54/10.92  % SZS output start Proof for KLE061+1
% 10.54/10.92  (
% 10.54/10.92  (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (= (tptp.multiplication _let_1 _let_1) _let_1)))))) (let ((_let_2 (forall ((X0 $$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 $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_10 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (tptp.multiplication _let_10 _let_10))) (let ((_let_12 (tptp.multiplication _let_10 tptp.one))) (let ((_let_13 (tptp.addition tptp.one _let_10))) (let ((_let_14 (= (tptp.multiplication _let_10 _let_13) (tptp.addition _let_12 _let_11)))) (let ((_let_15 (_let_5))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (tptp.addition _let_10 tptp.one))) (let ((_let_18 (= _let_17 _let_13))) (let ((_let_19 (tptp.multiplication tptp.one _let_10))) (let ((_let_20 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (= (tptp.domain _let_20) (tptp.domain _let_19)))) (let ((_let_22 (tptp.multiplication (tptp.domain _let_10) _let_10))) (let ((_let_23 (= _let_22 (tptp.addition _let_10 _let_22)))) (let ((_let_24 (= _let_10 _let_19))) (let ((_let_25 (= _let_10 _let_12))) (let ((_let_26 (= tptp.one _let_17))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_28 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_29 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28))) (let ((_let_30 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_28))) (let ((_let_31 (= _let_10 _let_11))) (let ((_let_32 (not _let_14))) (let ((_let_33 (_let_9))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (_let_3))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_10 QUANTIFIERS_INST_ENUM))) (let ((_let_40 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_48 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (= _let_1 (tptp.multiplication _let_1 _let_1)))))) (let ((_let_51 (not _let_31))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (or))) (let ((_let_54 (_let_51))) (let ((_let_55 (not _let_50))) (let ((_let_56 (and _let_51 _let_30 _let_29 _let_27 _let_26 _let_25 _let_24 _let_23 _let_21 _let_18))) (let ((_let_57 (ASSUME :args _let_54))) (let ((_let_58 (APPLY_UF tptp.multiplication))) (let ((_let_59 (REFL :args (_let_10)))) (let ((_let_60 (APPLY_UF tptp.domain))) (let ((_let_61 (ASSUME :args (_let_29)))) (let ((_let_62 (ASSUME :args (_let_30)))) (let ((_let_63 (SYMM _let_62))) (let ((_let_64 (ASSUME :args (_let_27)))) (let ((_let_65 (ASSUME :args (_let_21)))) (let ((_let_66 (ASSUME :args (_let_24)))) (let ((_let_67 (CONG (TRANS (CONG (SYMM (SYMM _let_66)) :args _let_60) (SYMM _let_65) (CONG (TRANS (SYMM _let_64) _let_61 _let_63) :args _let_60) (CONG (TRANS (SYMM _let_63) (SYMM _let_61)) :args _let_60)) _let_59 :args _let_58))) (let ((_let_68 (ASSUME :args (_let_23)))) (let ((_let_69 (ASSUME :args (_let_25)))) (let ((_let_70 (SYMM _let_69))) (let ((_let_71 (ASSUME :args (_let_26)))) (let ((_let_72 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_10 tptp.one _let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_15)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_69 _let_71 _let_72 _let_57 _let_61 _let_62 _let_64 _let_65 _let_66 _let_68) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_59 (TRANS (SYMM _let_72) (SYMM _let_71)) :args _let_58) _let_70) (TRANS (CONG _let_70 (SYMM _let_67) :args (APPLY_UF tptp.addition)) (SYMM _let_68) _let_67) :args (=)) (FALSE_INTRO _let_57))) :args (_let_25 _let_26 _let_18 _let_51 _let_29 _let_30 _let_27 _let_21 _let_24 _let_23))) :args (_let_51 _let_30 _let_29 _let_27 _let_26 _let_25 _let_24 _let_23 _let_21 _let_18))) :args (true _let_56)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_31))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_27))) (REFL :args ((not _let_26))) (REFL :args ((not _let_25))) (REFL :args ((not _let_24))) (REFL :args ((not _let_23))) (REFL :args ((not _let_21))) (REFL :args ((not _let_18))) (REFL :args (_let_32)) :args _let_53)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_52) :args (_let_55))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_50))) (REFL :args _let_54) :args _let_53)) _let_52 :args (_let_51 true _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_33)) _let_34 :args (_let_30 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_47) :args (_let_48))) _let_49 :args (_let_29 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_47) :args _let_42)) _let_41 :args (_let_27 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_47) :args (_let_45))) _let_46 :args (_let_26 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_39) :args (_let_43))) _let_44 :args (_let_25 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_39) :args _let_42)) _let_41 :args (_let_24 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_39) :args (_let_37))) _let_38 :args (_let_23 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_35)) _let_36 :args (_let_21 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_10 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_33)) _let_34 :args (_let_18 false _let_9)) :args (_let_32 true _let_31 false _let_30 false _let_29 false _let_27 false _let_26 false _let_25 false _let_24 false _let_23 false _let_21 false _let_18)) _let_16 :args (false true _let_14 false _let_5)) :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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.54/10.93  )
% 10.54/10.93  % SZS output end Proof for KLE061+1
% 10.54/10.93  % cvc5---1.0.5 exiting
% 10.54/10.93  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------