%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE005+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 05:26:46 EDT 2023

% Result   : Theorem 0.18s 0.51s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KLE005+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 29 11:04:35 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.CGL8GmOGqZ/cvc5---1.0.5_16646.p...
% 0.18/0.51  ------- get file name : TPTP file name is KLE005+1
% 0.18/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16646.smt2...
% 0.18/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.51  % SZS status Theorem for KLE005+1
% 0.18/0.51  % SZS output start Proof for KLE005+1
% 0.18/0.51  (
% 0.18/0.51  (let ((_let_1 (tptp.c tptp.one))) (let ((_let_2 (not (= _let_1 tptp.zero)))) (let ((_let_3 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_6 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_9 (= tptp.zero _let_1))) (let ((_let_10 (= tptp.zero (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_11 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one))) (let ((_let_12 (= tptp.zero _let_11))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_11))) (let ((_let_14 (= _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (SYMM (ASSUME :args (_let_2))))) (let ((_let_16 (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (= tptp.one _let_16))) (let ((_let_18 (and _let_10 _let_12 _let_17))) (let ((_let_19 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one))) (let ((_let_20 (= _let_19 _let_18))) (let ((_let_21 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_21))) (let ((_let_24 (forall ((X1 $$unsorted)) (not (tptp.complement X1 tptp.one))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.test tptp.one))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (or _let_26 _let_9))) (let ((_let_31 (forall ((X0 $$unsorted)) (or (tptp.test X0) (= tptp.zero (tptp.c X0)))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_9 _let_26 (not _let_30)))) _let_15 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c X0) tptp.zero))))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_26 true _let_9 false _let_30)))) (let ((_let_34 (not _let_26))) (let ((_let_35 (or))) (let ((_let_36 (not _let_19))) (let ((_let_37 (_let_25))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_20)) :args ((or _let_36 _let_18 (not _let_20)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_37)) :args _let_37) (REWRITE :args ((=> _let_25 (not _let_36)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) (REFL :args (_let_19)) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_27)) :args ((or _let_34 _let_25 (not _let_27)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.test X0)))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_25 false _let_26 false _let_27)) :args (_let_19 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X1 X0)))) :args _let_23)) _let_22 :args (_let_20 false _let_21)) :args (_let_18 false _let_19 false _let_20)))) (let ((_let_39 (not _let_18))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 0)) :args ((or _let_10 _let_39))) _let_38 :args (_let_10 false _let_18)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_12 _let_39))) _let_38 :args (_let_12 false _let_18)))) (let ((_let_42 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (tptp.complement tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_45 (= _let_44 _let_14))) (let ((_let_46 (or _let_34 _let_45))) (let ((_let_47 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one))) (let ((_let_50 (= tptp.one _let_49))) (let ((_let_51 (and _let_12 _let_10 _let_50))) (let ((_let_52 (= _let_44 _let_51))) (let ((_let_53 (= _let_16 _let_49))) (let ((_let_54 (_let_8))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (and _let_17 _let_53))) (let ((_let_57 (ASSUME :args (_let_53)))) (let ((_let_58 (ASSUME :args (_let_17)))) (let ((_let_59 (not _let_12))) (let ((_let_60 (not _let_10))) (let ((_let_61 (not _let_9))) (let ((_let_62 (ASSUME :args (_let_10)))) (let ((_let_63 (SYMM (SYMM _let_62)))) (let ((_let_64 (ASSUME :args (_let_12)))) (let ((_let_65 (ASSUME :args (_let_13)))) (let ((_let_66 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_62 _let_64 _let_65 _let_66 _let_15) :args (_let_61 _let_10 _let_12 _let_13 _let_14)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_15)) (TRUE_INTRO (TRANS _let_63 (SYMM (TRANS (SYMM (SYMM _let_66)) (SYMM (SYMM _let_65)) (SYMM _let_64) _let_63)))))) :args (_let_10 _let_12 _let_13 _let_14 _let_61)) :args ((not (and _let_61 _let_10 _let_12 _let_13 _let_14)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_9))) (REFL :args (_let_60)) (REFL :args (_let_59)) (REFL :args ((not _let_13))) (REFL :args ((not _let_14))) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or (not _let_44) _let_14 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_52)) :args ((or _let_44 (not _let_51) (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_51)) :args ((or _let_60 _let_59 _let_51 (not _let_50)))) _let_40 _let_41 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_58) (SCOPE (TRANS (SYMM (SYMM _let_58)) (SYMM (SYMM _let_57))) :args (_let_53 _let_17))) :args (_let_17 _let_53))) :args (true _let_56)) :args ((or (not _let_17) _let_50 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 2)) :args ((or _let_17 _let_39))) _let_38 :args (_let_17 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args _let_54)) _let_55 :args (_let_53 false _let_8)) :args (_let_50 false _let_17 false _let_53)) :args (_let_51 false _let_10 false _let_12 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication X0 X1)))) :args _let_23)) _let_22 :args (_let_52 false _let_21)) :args (_let_44 false _let_51 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_34 _let_45 (not _let_46)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X0 X1)))) :args (_let_47)))) _let_48 :args (_let_46 false _let_47)) :args (_let_45 false _let_26 false _let_46)) :args (_let_14 false _let_44 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication A tptp.one)))) :args (_let_42))) _let_43 :args (_let_13 false _let_42)) _let_41 _let_40 _let_15 :args (false false _let_14 false _let_13 false _let_12 false _let_10 true _let_9)) :args (_let_8 (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 $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_7 (forall ((A $$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_6 _let_5 _let_4 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.51  )
% 0.18/0.51  % SZS output end Proof for KLE005+1
% 0.18/0.51  % cvc5---1.0.5 exiting
% 0.18/0.51  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------