%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CAT001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 18:14:26 EDT 2023

% Result   : Unsatisfiable 0.75s 0.99s
% Output   : Proof 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem    : CAT001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n004.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sun Aug 27 00:45:07 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Rcft0PBOVJ/cvc5---1.0.5_13404.p...
% 0.22/0.53  ------- get file name : TPTP file name is CAT001-1
% 0.22/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13404.smt2...
% 0.22/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.75/0.99  % SZS status Unsatisfiable for CAT001-1
% 0.75/0.99  % SZS output start Proof for CAT001-1
% 0.75/1.00  (
% 0.75/1.00  (let ((_let_1 (= tptp.h tptp.g))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.product tptp.b tptp.g tptp.d))) (let ((_let_4 (tptp.product tptp.b tptp.h tptp.d))) (let ((_let_5 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (tptp.product tptp.c X1 X2)) (not (tptp.product tptp.c X3 X2)) (= X1 X3))))) (let ((_let_6 (tptp.product tptp.a tptp.b tptp.c))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y Z)) (not (tptp.product X Y W)) (= Z W))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.defined X Y)) (not (tptp.identity_map X)) (tptp.product X Y Y))))) (let ((_let_9 (forall ((X $$unsorted)) (tptp.product X (tptp.domain X) X)))) (let ((_let_10 (forall ((X $$unsorted)) (tptp.defined X (tptp.domain X))))) (let ((_let_11 (forall ((X $$unsorted)) (tptp.identity_map (tptp.domain X))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.defined X Y)) (not (tptp.defined Y Z)) (not (tptp.identity_map Y)) (tptp.defined X Z))))) (let ((_let_13 (forall ((Y $$unsorted) (Z $$unsorted) (Yz $$unsorted) (X $$unsorted) (Xy $$unsorted)) (or (not (tptp.product Y Z Yz)) (not (tptp.product X Y Xy)) (not (tptp.defined X Yz)) (tptp.defined Xy Z))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Xy $$unsorted) (Z $$unsorted) (Xyz $$unsorted) (Yz $$unsorted)) (or (not (tptp.product X Y Xy)) (not (tptp.product Xy Z Xyz)) (not (tptp.product Y Z Yz)) (tptp.product X Yz Xyz))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Xy $$unsorted) (Z $$unsorted) (Yz $$unsorted)) (or (not (tptp.product X Y Xy)) (not (tptp.product Y Z Yz)) (not (tptp.defined Xy Z)) (tptp.defined X Yz))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted) (Xy $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Xy)) (not (tptp.defined Xy Z)) (tptp.defined Y Z))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.defined X Y))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.defined X Y)) (tptp.product X Y (tptp.compose X Y)))))) (let ((_let_19 (tptp.compose tptp.c tptp.h))) (let ((_let_20 (tptp.product tptp.c tptp.h _let_19))) (let ((_let_21 (tptp.compose tptp.c tptp.g))) (let ((_let_22 (tptp.compose tptp.a tptp.d))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (= _let_22 _let_19))) (let ((_let_25 (tptp.product tptp.c tptp.h _let_21))) (let ((_let_26 (tptp.defined tptp.c tptp.h))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_20))) (let ((_let_29 (_let_18))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 ((not (= (tptp.defined X Y) false))))) (let ((_let_32 (tptp.defined tptp.a tptp.d))) (let ((_let_33 (not _let_32))) (let ((_let_34 (not _let_6))) (let ((_let_35 (not _let_4))) (let ((_let_36 (or _let_35 _let_34 _let_33 _let_26))) (let ((_let_37 (_let_13))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 ((not (= (tptp.product Y Z Yz) false)) (not (= (tptp.product X Y Xy) false))))) (let ((_let_40 (tptp.domain tptp.a))) (let ((_let_41 (tptp.identity_map _let_40))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.defined _let_40 tptp.d))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.defined tptp.a _let_40))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 _let_42 _let_32))) (let ((_let_48 (_let_12))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (tptp.defined tptp.b tptp.h))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.product _let_40 tptp.b tptp.b))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_35 _let_51 _let_43))) (let ((_let_55 (_let_15))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (tptp.defined _let_40 tptp.b))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_42 _let_52))) (let ((_let_60 (_let_8))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (tptp.defined tptp.a tptp.b))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.product tptp.a _let_40 tptp.a))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63 _let_57))) (let ((_let_67 (_let_16))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (_let_9))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_72 (or _let_34 _let_62))) (let ((_let_73 (_let_17))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 ((not (= (tptp.product X Y Z) false))))) (let ((_let_76 (ASSUME :args (_let_6)))) (let ((_let_77 (_let_11))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args _let_71) :args _let_77)) _let_78 :args (_let_41 false _let_11)))) (let ((_let_80 (or _let_35 _let_50))) (let ((_let_81 (ASSUME :args (_let_4)))) (let ((_let_82 (_let_10))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_32 _let_42 _let_46 _let_44 (not _let_47)))) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args _let_71) :args _let_82)) _let_83 :args (_let_45 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_35 _let_51 _let_53 _let_43 (not _let_54)))) _let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_35 _let_50 (not _let_80)))) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b tptp.h tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_80 false _let_17)) :args (_let_50 false _let_4 false _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_42 _let_58 _let_52 (not _let_59)))) _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_63 _let_65 _let_57 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_34 _let_62 (not _let_72)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_72 false _let_17)) :args (_let_62 false _let_6 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args _let_71) :args _let_69)) _let_70 :args (_let_64 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.a _let_40 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y Xy) false)) (not (= (tptp.defined Xy Z) false))))) :args _let_67)) _let_68 :args (_let_66 false _let_16)) :args (_let_57 false _let_62 false _let_64 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_40 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X Y) false))))) :args _let_60)) _let_61 :args (_let_59 false _let_8)) :args (_let_52 false _let_41 false _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_40 tptp.b tptp.b tptp.h tptp.d QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y Xy) false)) (not (= (tptp.product Y Z Yz) false))))) :args _let_55)) _let_56 :args (_let_54 false _let_15)) :args (_let_43 false _let_4 false _let_50 false _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.a _let_40 tptp.d QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.defined X Y) false)) (not (= (tptp.defined X Z) true))))) :args _let_48)) _let_49 :args (_let_47 false _let_12)) :args (_let_32 false _let_41 false _let_45 false _let_43 false _let_47)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_20 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_34 _let_35 _let_26 _let_33 (not _let_36)))) _let_76 _let_81 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.b tptp.h tptp.d tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_36 false _let_13)) :args (_let_26 false _let_6 false _let_4 false _let_32 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.c tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args (_let_28 false _let_18)) :args (_let_20 false _let_26 false _let_28)))) (let ((_let_86 (tptp.product tptp.a tptp.d _let_21))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.product tptp.a tptp.d _let_22))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87 _let_23))) (let ((_let_91 (_let_7))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 ((not (= (tptp.product X Y Z) false)) (not (= (tptp.product X Y W) false))))) (let ((_let_94 (not _let_3))) (let ((_let_95 (tptp.product tptp.c tptp.g _let_21))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_34 _let_96 _let_94 _let_86))) (let ((_let_98 (_let_14))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 ((not (= (tptp.product X Y Xy) false)) (not (= (tptp.product Xy Z Xyz) false)) (not (= (tptp.product Y Z Yz) false))))) (let ((_let_101 (tptp.defined tptp.c tptp.g))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_95))) (let ((_let_104 (tptp.compose tptp.b tptp.g))) (let ((_let_105 (tptp.defined tptp.a _let_104))) (let ((_let_106 (not _let_105))) (let ((_let_107 (tptp.product tptp.b tptp.g _let_104))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_34 _let_106 _let_101))) (let ((_let_110 (= tptp.d _let_104))) (let ((_let_111 (or _let_94 _let_108 _let_110))) (let ((_let_112 (tptp.defined tptp.b tptp.g))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_107))) (let ((_let_115 (or _let_94 _let_112))) (let ((_let_116 (ASSUME :args (_let_3)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_113 _let_107 (not _let_114)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_94 _let_112 (not _let_115)))) _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b tptp.g tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_115 false _let_17)) :args (_let_112 false _let_3 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.b tptp.g QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args (_let_114 false _let_18)) :args (_let_107 false _let_112 false _let_114)))) (let ((_let_118 (and _let_32 _let_110))) (let ((_let_119 (_let_32 _let_110))) (let ((_let_120 (ASSUME :args (_let_32)))) (let ((_let_121 (ASSUME :args (_let_110)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_102 _let_95 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_34 _let_101 _let_108 _let_106 (not _let_109)))) _let_76 _let_117 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_118)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_120 _let_121) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (tptp.a)) (SYMM _let_121) :args (APPLY_UF tptp.defined)) (TRUE_INTRO _let_120))) :args _let_119)) :args _let_119)) :args (true _let_118)) :args ((or _let_33 _let_105 (not _let_110)))) _let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_94 _let_108 _let_110 (not _let_111)))) _let_116 _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.b tptp.g tptp.d _let_104 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_91)) _let_92 :args (_let_111 false _let_7)) :args (_let_110 false _let_3 false _let_107 false _let_111)) :args (_let_105 false _let_32 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.b tptp.g _let_104 tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_109 false _let_13)) :args (_let_101 false _let_6 false _let_107 false _let_105 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.c tptp.g QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args (_let_103 false _let_18)) :args (_let_95 false _let_101 false _let_103)))) (let ((_let_123 (or _let_33 _let_88))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_33 _let_88 (not _let_123)))) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.a tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args (_let_123 false _let_18)) :args (_let_88 false _let_32 false _let_123)))) (let ((_let_125 (tptp.product tptp.a tptp.d _let_19))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_89 _let_126 _let_24))) (let ((_let_128 (not _let_20))) (let ((_let_129 (or _let_34 _let_128 _let_35 _let_125))) (let ((_let_130 (not _let_25))) (let ((_let_131 (or _let_96 _let_130 _let_1))) (let ((_let_132 (_let_5))) (let ((_let_133 (ASSUME :args _let_132))) (let ((_let_134 (ASSUME :args (_let_130)))) (let ((_let_135 (ASSUME :args (_let_23)))) (let ((_let_136 (ASSUME :args (_let_24)))) (let ((_let_137 (ASSUME :args (_let_20)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_134 _let_135 _let_136 _let_137) :args (_let_20 _let_23 _let_24 _let_130)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_137)) (CONG (REFL :args (tptp.c)) (REFL :args (tptp.h)) (TRANS (SYMM _let_136) (SYMM (SYMM _let_135))) :args (APPLY_UF tptp.product)) (FALSE_INTRO _let_134))) :args (_let_130 _let_23 _let_24 _let_20)) :args ((not (and _let_20 _let_23 _let_24 _let_130)) SB_LITERAL))) (CONG (REFL :args (_let_128)) (REFL :args ((not _let_23))) (REFL :args ((not _let_24))) (MACRO_SR_PRED_INTRO :args ((= (not _let_130) _let_25))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_1 _let_96 _let_130 (not _let_131)))) (ASSUME :args (_let_2)) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.g _let_21 tptp.h QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product tptp.c X1 X2) false)) (not (= (tptp.product tptp.c X3 X2) false))))) :args _let_132))) _let_133 :args (_let_131 false _let_5)) :args (_let_130 true _let_1 false _let_95 false _let_131)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_89 _let_126 _let_24 (not _let_127)))) _let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_34 _let_35 _let_128 _let_125 (not _let_129)))) _let_76 _let_81 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.a tptp.b tptp.c tptp.h _let_19 tptp.d QUANTIFIERS_INST_E_MATCHING _let_100)) :args _let_98)) _let_99 :args (_let_129 false _let_14)) :args (_let_125 false _let_6 false _let_4 false _let_20 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.a tptp.d _let_22 _let_19 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_91)) _let_92 :args (_let_127 false _let_7)) :args (_let_24 false _let_88 false _let_125 false _let_127)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_89 _let_87 _let_23 (not _let_90)))) _let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_34 _let_94 _let_96 _let_86 (not _let_97)))) _let_76 _let_116 _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.a tptp.b tptp.c tptp.g _let_21 tptp.d QUANTIFIERS_INST_E_MATCHING _let_100)) :args _let_98)) _let_99 :args (_let_97 false _let_14)) :args (_let_86 false _let_6 false _let_3 false _let_95 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.a tptp.d _let_22 _let_21 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_91)) _let_92 :args (_let_90 false _let_7)) :args (_let_23 false _let_88 false _let_86 false _let_90)) _let_85 :args (false true _let_25 false _let_24 false _let_23 false _let_20)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 (forall ((Y $$unsorted) (Z $$unsorted) (Yz $$unsorted) (X $$unsorted)) (or (not (tptp.product Y Z Yz)) (not (tptp.defined X Yz)) (tptp.defined X Y))) _let_13 (forall ((Y $$unsorted) (Z $$unsorted) (Yz $$unsorted) (X $$unsorted) (Xyz $$unsorted) (Xy $$unsorted)) (or (not (tptp.product Y Z Yz)) (not (tptp.product X Yz Xyz)) (not (tptp.product X Y Xy)) (tptp.product Xy Z Xyz))) _let_12 _let_11 (forall ((X $$unsorted)) (tptp.identity_map (tptp.codomain X))) _let_10 (forall ((X $$unsorted)) (tptp.defined (tptp.codomain X) X)) _let_9 (forall ((X $$unsorted)) (tptp.product (tptp.codomain X) X X)) _let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.defined X Y)) (not (tptp.identity_map Y)) (tptp.product X Y X))) _let_7 _let_6 _let_5 _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.75/1.00  )
% 0.75/1.00  % SZS output end Proof for CAT001-1
% 0.75/1.00  % cvc5---1.0.5 exiting
% 0.75/1.00  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------