%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COM007+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 : Wed Aug 30 18:36:55 EDT 2023

% Result   : Theorem 0.20s 0.64s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : COM007+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n006.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 13:29:06 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.64  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.szS2F4ekta/cvc5---1.0.5_13359.p...
% 0.20/0.64  ------- get file name : TPTP file name is COM007+1
% 0.20/0.64  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13359.smt2...
% 0.20/0.64  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.64  % SZS status Theorem for COM007+1
% 0.20/0.64  % SZS output start Proof for COM007+1
% 0.20/0.64  (
% 0.20/0.64  (let ((_let_1 (not tptp.goal))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.rewrite A B) (tptp.rewrite A C)) (exists ((D $$unsorted)) (and (tptp.rewrite B D) (tptp.rewrite C D))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.reflexive_rewrite A B) (or (tptp.equalish A B) (tptp.rewrite A B)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.rewrite A B) (tptp.reflexive_rewrite A B))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.equalish A B) (tptp.reflexive_rewrite A B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.equalish A B) (tptp.reflexive_rewrite B C)) (tptp.reflexive_rewrite A C))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.equalish A B) (tptp.equalish B A))))) (let ((_let_8 (forall ((A $$unsorted)) (tptp.equalish A A)))) (let ((_let_9 (forall ((A $$unsorted)) (=> (and (tptp.reflexive_rewrite tptp.b A) (tptp.reflexive_rewrite tptp.c A)) tptp.goal)))) (let ((_let_10 (tptp.reflexive_rewrite tptp.a tptp.c))) (let ((_let_11 (tptp.reflexive_rewrite tptp.a tptp.b))) (let ((_let_12 (and _let_11 _let_10))) (let ((_let_13 (tptp.equalish tptp.b tptp.b))) (let ((_let_14 (_let_8))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (tptp.reflexive_rewrite tptp.b tptp.b))) (let ((_let_17 (not _let_13))) (let ((_let_18 (or _let_17 _let_16))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.equalish A B)) (tptp.reflexive_rewrite A B))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (_let_19))) (let ((_let_22 (tptp.reflexive_rewrite tptp.c tptp.b))) (let ((_let_23 (not _let_22))) (let ((_let_24 (not _let_16))) (let ((_let_25 (or _let_24 _let_23))) (let ((_let_26 (forall ((A $$unsorted)) (or (not (tptp.reflexive_rewrite tptp.b A)) (not (tptp.reflexive_rewrite tptp.c A)))))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_1)) :args (_let_26 true tptp.goal)))) (let ((_let_28 (_let_26))) (let ((_let_29 ((not (= (tptp.reflexive_rewrite tptp.b A) false))))) (let ((_let_30 (ASSUME :args _let_28))) (let ((_let_31 (not _let_11))) (let ((_let_32 (tptp.equalish tptp.c tptp.a))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_22))) (let ((_let_35 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.equalish A B)) (not (tptp.reflexive_rewrite B C)) (tptp.reflexive_rewrite A C))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 (not (= (tptp.reflexive_rewrite B C) false)))) (let ((_let_39 (tptp.equalish tptp.a tptp.c))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_32))) (let ((_let_42 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.equalish A B)) (tptp.equalish B A))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 ((not (= (tptp.equalish A B) false))))) (let ((_let_46 (tptp.rewrite tptp.a tptp.c))) (let ((_let_47 (not _let_10))) (let ((_let_48 (or _let_47 _let_39 _let_46))) (let ((_let_49 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.reflexive_rewrite A B)) (tptp.equalish A B) (tptp.rewrite A B))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 ((not (= (tptp.reflexive_rewrite A B) false))))) (let ((_let_53 (forall ((D $$unsorted)) (or (not (tptp.rewrite tptp.b D)) (not (tptp.rewrite tptp.c D)))))) (let ((_let_54 (not _let_53))) (let ((_let_55 (not _let_46))) (let ((_let_56 (tptp.rewrite tptp.a tptp.b))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55 _let_54))) (let ((_let_59 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.rewrite A B)) (not (tptp.rewrite A C)) (not (forall ((D $$unsorted)) (or (not (tptp.rewrite B D)) (not (tptp.rewrite C D))))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (tptp.rewrite tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.rewrite tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (tptp.reflexive_rewrite tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_67 (or _let_64 _let_66))) (let ((_let_68 (tptp.reflexive_rewrite tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_69 (or _let_62 _let_68))) (let ((_let_70 (not _let_68))) (let ((_let_71 (not _let_66))) (let ((_let_72 (or _let_71 _let_70))) (let ((_let_73 (or))) (let ((_let_74 (REFL :args (_let_65)))) (let ((_let_75 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.rewrite A B)) (tptp.reflexive_rewrite A B))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 ((not (= (tptp.rewrite A B) false))))) (let ((_let_79 (_let_54))) (let ((_let_80 (tptp.equalish tptp.a tptp.b))) (let ((_let_81 (or _let_31 _let_80 _let_56))) (let ((_let_82 (tptp.equalish tptp.b tptp.a))) (let ((_let_83 (not _let_80))) (let ((_let_84 (or _let_83 _let_82))) (let ((_let_85 (tptp.reflexive_rewrite tptp.b tptp.c))) (let ((_let_86 (not _let_82))) (let ((_let_87 (or _let_86 _let_47 _let_85))) (let ((_let_88 (tptp.reflexive_rewrite tptp.c tptp.c))) (let ((_let_89 (not _let_88))) (let ((_let_90 (not _let_85))) (let ((_let_91 (or _let_90 _let_89))) (let ((_let_92 (tptp.equalish tptp.c tptp.c))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_88))) (let ((_let_95 ((not (= (tptp.equalish A A) true))))) (let ((_let_96 (ASSUME :args (_let_12)))) (let ((_let_97 (AND_ELIM _let_96 :args (1)))) (let ((_let_98 (AND_ELIM _let_96 :args (0)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_16 _let_17 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_23 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_31 _let_33 _let_22 (not _let_34)))) _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_32 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_39 _let_46 (not _let_48)))) _let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_55 _let_54 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_31 _let_80 _let_56 (not _let_81)))) _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_82 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_47 _let_86 _let_85 (not _let_87)))) _let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_90 _let_89 (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_88 _let_93 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_14)) _let_15 :args (_let_92 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.c tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.reflexive_rewrite A B) true))))) :args _let_21)) _let_20 :args (_let_94 false _let_19)) :args (_let_88 false _let_92 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28)) _let_27 :args (_let_91 false _let_26)) :args (_let_90 false _let_88 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.b tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equalish A B) false)) _let_38))) :args _let_37)) _let_36 :args (_let_87 false _let_35)) :args (_let_86 false _let_10 true _let_85 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44)) _let_43 :args (_let_84 false _let_42)) :args (_let_83 true _let_82 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_81 false _let_49)) :args (_let_56 false _let_11 true _let_80 false _let_81)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_79)) :args _let_79)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) (REFL :args ((not _let_65))) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_70 (not _let_72)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28)) _let_27 :args (_let_72 false _let_26)) (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_62 _let_68 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_69 false _let_75)) (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_64 _let_66 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_67 false _let_75)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 1)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_73)) :args ((or _let_61 _let_65))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 0)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) :args _let_73)) :args ((or _let_63 _let_65))) :args (_let_65 false _let_72 false _let_68 false _let_69 false _let_66 false _let_67 false _let_61 false _let_63)) :args (_let_53 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rewrite A B) false)) (not (= (tptp.rewrite A C) false))))) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_55 false _let_56 false _let_53 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_48 false _let_49)) :args (_let_39 false _let_10 true _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44)) _let_43 :args (_let_41 false _let_42)) :args (_let_32 false _let_39 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.c tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING (_let_38 (not (= (tptp.reflexive_rewrite A C) true))))) :args _let_37)) _let_36 :args (_let_34 false _let_35)) :args (_let_22 false _let_11 false _let_32 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28)) _let_27 :args (_let_25 false _let_26)) :args (_let_24 false _let_22 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equalish A B) false))))) :args _let_21)) _let_20 :args (_let_18 false _let_19)) :args (_let_17 true _let_16 false _let_18)) _let_15 :args (false true _let_13 false _let_8)) :args (_let_12 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.64  )
% 0.20/0.64  % SZS output end Proof for COM007+1
% 0.20/0.64  % cvc5---1.0.5 exiting
% 0.20/0.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------