%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE067+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 10.72s 10.99s
% Output   : Proof 10.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KLE067+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 12:35:26 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 10.72/10.99  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Rb0ALi50Aa/cvc5---1.0.5_17158.p...
% 10.72/10.99  ------- get file name : TPTP file name is KLE067+1
% 10.72/10.99  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17158.smt2...
% 10.72/10.99  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.72/10.99  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.72/10.99  % SZS status Theorem for KLE067+1
% 10.72/10.99  % SZS output start Proof for KLE067+1
% 10.72/10.99  (
% 10.72/10.99  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition (tptp.domain X0) (tptp.domain X1)))) (= (tptp.domain _let_1) _let_1)))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))))) (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 ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_7 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.addition _let_8 _let_7))) (let ((_let_10 (tptp.domain _let_9))) (let ((_let_11 (= _let_10 (tptp.addition (tptp.domain _let_8) (tptp.domain _let_7))))) (let ((_let_12 (_let_2))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 (tptp.multiplication tptp.one _let_7))) (let ((_let_15 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (= (tptp.domain _let_15) (tptp.domain _let_14)))) (let ((_let_17 (= _let_7 _let_14))) (let ((_let_18 (tptp.multiplication tptp.one _let_8))) (let ((_let_19 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (= (tptp.domain _let_19) (tptp.domain _let_18)))) (let ((_let_21 (= _let_8 _let_18))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15))) (let ((_let_23 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_24 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_25 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_23))) (let ((_let_26 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_27 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_28 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27))) (let ((_let_29 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_27))) (let ((_let_30 (= _let_9 _let_10))) (let ((_let_31 (not _let_11))) (let ((_let_32 (_let_3))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_38 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 (_let_6))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_44 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition (tptp.domain X0) (tptp.domain X1)))) (= _let_1 (tptp.domain _let_1)))))) (let ((_let_45 (not _let_30))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (or))) (let ((_let_48 (_let_45))) (let ((_let_49 (not _let_44))) (let ((_let_50 (and _let_45 _let_29 _let_28 _let_26 _let_25 _let_24 _let_22 _let_21 _let_20 _let_17 _let_16))) (let ((_let_51 (ASSUME :args _let_48))) (let ((_let_52 (APPLY_UF tptp.domain))) (let ((_let_53 (ASSUME :args (_let_24)))) (let ((_let_54 (ASSUME :args (_let_25)))) (let ((_let_55 (SYMM _let_54))) (let ((_let_56 (ASSUME :args (_let_22)))) (let ((_let_57 (ASSUME :args (_let_16)))) (let ((_let_58 (ASSUME :args (_let_17)))) (let ((_let_59 (ASSUME :args (_let_28)))) (let ((_let_60 (ASSUME :args (_let_29)))) (let ((_let_61 (SYMM _let_60))) (let ((_let_62 (ASSUME :args (_let_26)))) (let ((_let_63 (ASSUME :args (_let_20)))) (let ((_let_64 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (_let_8 _let_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_12)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_50)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_59 _let_60 _let_62 _let_63 _let_64 _let_53 _let_54 _let_56 _let_57 _let_58 _let_51) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (CONG (TRANS (CONG (SYMM (SYMM _let_64)) :args _let_52) (SYMM _let_63) (CONG (TRANS (SYMM _let_62) _let_59 _let_61) :args _let_52) (CONG (TRANS (SYMM _let_61) (SYMM _let_59)) :args _let_52)) (TRANS (CONG (SYMM (SYMM _let_58)) :args _let_52) (SYMM _let_57) (CONG (TRANS (SYMM _let_56) _let_53 _let_55) :args _let_52) (CONG (TRANS (SYMM _let_55) (SYMM _let_53)) :args _let_52)) :args (APPLY_UF tptp.addition)) (REFL :args (_let_10)) :args (=)) (FALSE_INTRO _let_51)) :args ((= _let_11 false)))) :args (_let_28 _let_29 _let_26 _let_20 _let_21 _let_24 _let_25 _let_22 _let_16 _let_17 _let_45))) :args (_let_45 _let_29 _let_28 _let_26 _let_25 _let_24 _let_22 _let_21 _let_20 _let_17 _let_16))) :args (true _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_28))) (REFL :args ((not _let_26))) (REFL :args ((not _let_25))) (REFL :args ((not _let_24))) (REFL :args ((not _let_22))) (REFL :args ((not _let_21))) (REFL :args ((not _let_20))) (REFL :args ((not _let_17))) (REFL :args ((not _let_16))) (REFL :args (_let_31)) :args _let_47)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_46) :args (_let_49))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_44))) (REFL :args _let_48) :args _let_47)) _let_46 :args (_let_45 true _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_42 :args (_let_29 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_43) :args _let_40)) _let_39 :args (_let_28 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args _let_43) :args _let_36)) _let_35 :args (_let_26 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_42 :args (_let_25 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_37) :args _let_40)) _let_39 :args (_let_24 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args _let_37) :args _let_36)) _let_35 :args (_let_22 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_8 QUANTIFIERS_INST_ENUM)) :args _let_36)) _let_35 :args (_let_21 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_32)) _let_33 :args (_let_20 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_7 QUANTIFIERS_INST_ENUM)) :args _let_36)) _let_35 :args (_let_17 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_32)) _let_33 :args (_let_16 false _let_3)) :args (_let_31 true _let_30 false _let_29 false _let_28 false _let_26 false _let_25 false _let_24 false _let_22 false _let_21 false _let_20 false _let_17 false _let_16)) _let_13 :args (false true _let_11 false _let_2)) :args (_let_6 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_5 (forall ((A $$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_4 (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))) (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))) _let_3 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)) (= (tptp.domain tptp.zero) tptp.zero) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.72/10.99  )
% 10.72/10.99  % SZS output end Proof for KLE067+1
% 10.72/10.99  % cvc5---1.0.5 exiting
% 10.72/11.00  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------