%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COM007+2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 0.19s 0.52s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : COM007+2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 29 12:33:28 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.52  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.t7OIURJNvl/cvc5---1.0.5_458.p...
% 0.19/0.52  ------- get file name : TPTP file name is COM007+2
% 0.19/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_458.smt2...
% 0.19/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.52  % SZS status Theorem for COM007+2
% 0.19/0.52  % SZS output start Proof for COM007+2
% 0.19/0.52  (
% 0.19/0.52  (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 (= 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)) (=> (= A B) (tptp.reflexive_rewrite A B))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (tptp.reflexive_rewrite tptp.b A) (tptp.reflexive_rewrite tptp.c A)) tptp.goal)))) (let ((_let_7 (tptp.reflexive_rewrite tptp.a tptp.c))) (let ((_let_8 (tptp.reflexive_rewrite tptp.a tptp.b))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (forall ((A $$unsorted)) (or (not (tptp.reflexive_rewrite tptp.b A)) (not (tptp.reflexive_rewrite tptp.c A)))))) (let ((_let_11 (tptp.reflexive_rewrite tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.reflexive_rewrite tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_1)) :args (_let_10 true tptp.goal)))) (let ((_let_17 (not _let_15))) (let ((_let_18 (tptp.rewrite tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_11))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.rewrite A B)) (tptp.reflexive_rewrite A B))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_21))) (let ((_let_24 ((not (= (tptp.rewrite A B) false))))) (let ((_let_25 (tptp.rewrite tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_19))) (let ((_let_28 (forall ((D $$unsorted)) (or (not (tptp.rewrite tptp.b D)) (not (tptp.rewrite tptp.c D)))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (not _let_28))) (let ((_let_31 (tptp.rewrite tptp.a tptp.c))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.rewrite tptp.a tptp.b))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_30))) (let ((_let_36 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.rewrite A B)) (not (tptp.rewrite A C)) (not (forall ((D $$unsorted)) (or (not (tptp.rewrite B D)) (not (tptp.rewrite C D))))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (= tptp.a tptp.c))) (let ((_let_39 (not _let_7))) (let ((_let_40 (or _let_39 _let_38 _let_31))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.reflexive_rewrite A B)) (= A B) (tptp.rewrite A B))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 ((not (= (tptp.reflexive_rewrite A B) false))))) (let ((_let_45 (tptp.reflexive_rewrite tptp.c tptp.b))) (let ((_let_46 (not _let_38))) (let ((_let_47 (ASSUME :args (_let_9)))) (let ((_let_48 (AND_ELIM _let_47 :args (0)))) (let ((_let_49 (not _let_45))) (let ((_let_50 (tptp.reflexive_rewrite tptp.b tptp.b))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (_let_10))) (let ((_let_54 ((not (= (tptp.reflexive_rewrite tptp.c A) false))))) (let ((_let_55 (ASSUME :args _let_53))) (let ((_let_56 (forall ((B $$unsorted)) (tptp.reflexive_rewrite B B)))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 ((not (= (tptp.reflexive_rewrite B B) true))))) (let ((_let_60 (or))) (let ((_let_61 (not _let_8))) (let ((_let_62 (ASSUME :args (_let_49)))) (let ((_let_63 (ASSUME :args (_let_38)))) (let ((_let_64 (ASSUME :args (_let_8)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_38 _let_31 (not _let_40)))) (AND_ELIM _let_47 :args (1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_62 _let_63 _let_64) :args (_let_8 _let_38 _let_49)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_64)) (CONG (SYMM (SYMM _let_63)) (REFL :args (tptp.b)) :args (APPLY_UF tptp.reflexive_rewrite)) (FALSE_INTRO _let_62))) :args (_let_49 _let_38 _let_8)) :args ((not (and _let_8 _let_38 _let_49)) SB_LITERAL))) (CONG (REFL :args (_let_61)) (REFL :args (_let_46)) (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_45))) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_49 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_50 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_53)) _let_16 :args (_let_52 false _let_10)) :args (_let_49 false _let_50 false _let_52)) _let_48 :args (_let_46 true _let_45 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_40 false _let_41)) :args (_let_31 false _let_7 true _let_38 false _let_40)))) (let ((_let_66 (= tptp.a tptp.b))) (let ((_let_67 (or _let_61 _let_66 _let_33))) (let ((_let_68 (tptp.rewrite tptp.b tptp.c))) (let ((_let_69 (not _let_66))) (let ((_let_70 (tptp.reflexive_rewrite tptp.b tptp.c))) (let ((_let_71 (not _let_68))) (let ((_let_72 (or _let_71 _let_70))) (let ((_let_73 (tptp.reflexive_rewrite tptp.c tptp.c))) (let ((_let_74 (not _let_73))) (let ((_let_75 (not _let_70))) (let ((_let_76 (or _let_75 _let_74))) (let ((_let_77 (ASSUME :args (_let_71)))) (let ((_let_78 (ASSUME :args (_let_66)))) (let ((_let_79 (ASSUME :args (_let_31)))) (let ((_let_80 (_let_30))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_28))) (REFL :args (_let_29)) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 _let_30 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_61 _let_66 _let_33 (not _let_67)))) _let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_77 _let_78 _let_79) :args (_let_66 _let_31 _let_71)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_79)) (CONG (SYMM (SYMM _let_78)) (REFL :args (tptp.c)) :args (APPLY_UF tptp.rewrite)) (FALSE_INTRO _let_77))) :args (_let_71 _let_66 _let_31)) :args ((not (and _let_66 _let_31 _let_71)) SB_LITERAL))) (CONG (REFL :args (_let_69)) (REFL :args (_let_32)) (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_68))) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_70 _let_71 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_74 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_73 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_53)) _let_16 :args (_let_76 false _let_10)) :args (_let_75 false _let_73 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.reflexive_rewrite A B) true))))) :args _let_23)) _let_22 :args (_let_72 false _let_21)) :args (_let_71 true _let_70 false _let_72)) _let_65 :args (_let_69 true _let_68 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_67 false _let_41)) :args (_let_33 false _let_8 true _let_66 false _let_67)) _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :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_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_30 false _let_33 false _let_31 false _let_35)) :args (_let_29 true _let_28)))) (let ((_let_82 (REFL :args (_let_27)))) (let ((_let_83 (or _let_26 _let_13))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.reflexive_rewrite tptp.b A) false))))) :args _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_12 _let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_26 _let_13 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_82 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_60)) :args ((or _let_25 _let_27))) _let_81 :args (_let_25 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_83 false _let_21)) :args (_let_13 false _let_25 false _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_11 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_82 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_60)) :args ((or _let_18 _let_27))) _let_81 :args (_let_18 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_20 false _let_21)) :args (_let_11 false _let_18 false _let_20)) :args (_let_17 false _let_13 false _let_11)) _let_16 :args (false true _let_15 false _let_10)) :args (_let_9 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.52  )
% 0.19/0.52  % SZS output end Proof for COM007+2
% 0.19/0.52  % cvc5---1.0.5 exiting
% 0.19/0.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------