TSTP Solution File: SET020-6 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET020-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 14:36:52 EDT 2023
% Result : Unsatisfiable 26.16s 26.42s
% Output : Proof 26.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET020-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 10:17:32 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.LNiwgGlVZg/cvc5---1.0.5_20366.p...
% 0.21/0.51 ------- get file name : TPTP file name is SET020-6
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20366.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.44/10.65 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.45/15.69 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.55/20.74 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.61/25.80 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.16/26.42 % SZS status Unsatisfiable for SET020-6
% 26.16/26.42 % SZS output start Proof for SET020-6
% 26.16/26.42 (
% 26.16/26.42 (let ((_let_1 (tptp.ordered_pair tptp.u tptp.v))) (let ((_let_2 (tptp.first _let_1))) (let ((_let_3 (not (= _let_2 tptp.u)))) (let ((_let_4 (tptp.cross_product tptp.universal_class tptp.universal_class))) (let ((_let_5 (tptp.member _let_1 _let_4))) (let ((_let_6 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.cross_product X Y))) (= (tptp.ordered_pair (tptp.first Z) (tptp.second Z)) Z))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y))) (tptp.member U X))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.unordered_pair (tptp.singleton X) (tptp.unordered_pair X (tptp.singleton Y))) (tptp.ordered_pair X Y))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.unordered_pair X X) (tptp.singleton X))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member (tptp.unordered_pair X Y) tptp.universal_class)))) (let ((_let_11 (forall ((Y $$unsorted) (X $$unsorted)) (or (not (tptp.member Y tptp.universal_class)) (tptp.member Y (tptp.unordered_pair X Y)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X tptp.universal_class)) (tptp.member X (tptp.unordered_pair X Y)))))) (let ((_let_13 (forall ((U $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member U (tptp.unordered_pair X Y))) (= U X) (= U Y))))) (let ((_let_14 (= tptp.u _let_2))) (let ((_let_15 (tptp.second _let_1))) (let ((_let_16 (tptp.singleton _let_15))) (let ((_let_17 (= _let_16 (tptp.unordered_pair _let_15 _let_15)))) (let ((_let_18 (= tptp.u _let_16))) (let ((_let_19 (tptp.singleton tptp.v))) (let ((_let_20 (= tptp.u _let_19))) (let ((_let_21 (= _let_2 _let_19))) (let ((_let_22 (SYMM (ASSUME :args (_let_3))))) (let ((_let_23 (_let_9))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 ((tptp.singleton X)))) (let ((_let_26 (tptp.unordered_pair _let_2 _let_16))) (let ((_let_27 (tptp.member tptp.u _let_26))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_14 _let_18))) (let ((_let_30 (_let_13))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (tptp.unordered_pair tptp.u tptp.u))) (let ((_let_33 (tptp.member tptp.u _let_32))) (let ((_let_34 (tptp.singleton tptp.u))) (let ((_let_35 (= _let_34 _let_26))) (let ((_let_36 (= _let_34 _let_32))) (let ((_let_37 (tptp.member tptp.u tptp.universal_class))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_33))) (let ((_let_40 (_let_12))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((tptp.unordered_pair X Y)))) (let ((_let_43 (not _let_5))) (let ((_let_44 (or _let_43 _let_37))) (let ((_let_45 (_let_7))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 ((not (= (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y)) false))))) (let ((_let_48 (ASSUME :args (_let_5)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_37 (not _let_44)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.u tptp.v tptp.universal_class tptp.universal_class QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_44 false _let_7)) :args (_let_37 false _let_5 false _let_44)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_33 (not _let_39)))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.u tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_39 false _let_12)) :args (_let_33 false _let_37 false _let_39)))) (let ((_let_51 (tptp.singleton _let_2))) (let ((_let_52 (= _let_34 _let_51))) (let ((_let_53 (tptp.unordered_pair _let_51 _let_26))) (let ((_let_54 (tptp.member _let_34 _let_53))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_52 _let_35))) (let ((_let_57 (tptp.unordered_pair _let_2 _let_2))) (let ((_let_58 (= _let_51 _let_57))) (let ((_let_59 (tptp.member tptp.u _let_57))) (let ((_let_60 (not _let_52))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_23))) _let_24 :args (_let_36 false _let_9)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_23))) _let_24 :args (_let_58 false _let_9)))) (let ((_let_63 (not _let_59))) (let ((_let_64 (or _let_63 _let_14 _let_14))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_64))) :args ((or _let_14 _let_63 (not _let_64)))) _let_22 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.u _let_2 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) _let_31 :args (_let_64 false _let_13)) :args (_let_63 true _let_14 false _let_64)))) (let ((_let_66 (or))) (let ((_let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_59))))) (let ((_let_68 (REFL :args ((not _let_58))))) (let ((_let_69 (not _let_33))) (let ((_let_70 (not _let_36))) (let ((_let_71 (REFL :args (_let_70)))) (let ((_let_72 (ASSUME :args (_let_33)))) (let ((_let_73 (TRUE_INTRO _let_72))) (let ((_let_74 (APPLY_UF tptp.member))) (let ((_let_75 (ASSUME :args (_let_36)))) (let ((_let_76 (SYMM (SYMM _let_75)))) (let ((_let_77 (ASSUME :args (_let_52)))) (let ((_let_78 (ASSUME :args (_let_58)))) (let ((_let_79 (SYMM _let_78))) (let ((_let_80 (REFL :args (tptp.u)))) (let ((_let_81 (ASSUME :args (_let_63)))) (let ((_let_82 (FALSE_INTRO _let_81))) (let ((_let_83 (tptp.ordered_pair _let_2 _let_15))) (let ((_let_84 (= _let_83 _let_53))) (let ((_let_85 (tptp.unordered_pair tptp.u _let_19))) (let ((_let_86 (tptp.unordered_pair _let_34 _let_85))) (let ((_let_87 (tptp.member _let_34 _let_86))) (let ((_let_88 (= _let_1 _let_83))) (let ((_let_89 (= _let_1 _let_86))) (let ((_let_90 (_let_8))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 ((tptp.ordered_pair X Y)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_2 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90))) _let_91 :args (_let_84 false _let_8)))) (let ((_let_94 (tptp.member _let_34 tptp.universal_class))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_87))) (let ((_let_97 (tptp.member _let_32 tptp.universal_class))) (let ((_let_98 (_let_10))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 (and _let_36 _let_97))) (let ((_let_101 (ASSUME :args (_let_97)))) (let ((_let_102 (REFL :args (tptp.universal_class)))) (let ((_let_103 (or _let_43 _let_88))) (let ((_let_104 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.cross_product X Y))) (= Z (tptp.ordered_pair (tptp.first Z) (tptp.second Z))))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_43 _let_88 (not _let_103)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_1 tptp.universal_class tptp.universal_class QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member Z (tptp.cross_product X Y)) false))))) :args (_let_104))) _let_105 :args (_let_103 false _let_104)) :args (_let_88 false _let_5 false _let_103)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.u tptp.v QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90))) _let_91 :args (_let_89 false _let_8)))) (let ((_let_108 (and _let_89 _let_88 _let_87 _let_84))) (let ((_let_109 (ASSUME :args (_let_87)))) (let ((_let_110 (ASSUME :args (_let_89)))) (let ((_let_111 (ASSUME :args (_let_88)))) (let ((_let_112 (SYMM _let_111))) (let ((_let_113 (ASSUME :args (_let_84)))) (let ((_let_114 (TRANS (SYMM _let_113) _let_112 (SYMM (SYMM _let_110))))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_52 _let_35 (not _let_56)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_108)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_109 _let_110 _let_111 _let_113) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_34)) _let_114 :args _let_74) (TRUE_INTRO _let_109))) :args (_let_87 _let_89 _let_88 _let_84))) :args (_let_89 _let_88 _let_87 _let_84))) :args (true _let_108)) _let_107 _let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_87 (not _let_96)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_100)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_101 _let_75) (SCOPE (TRUE_ELIM (TRANS (CONG _let_76 _let_102 :args _let_74) (TRUE_INTRO _let_101))) :args (_let_97 _let_36))) :args (_let_36 _let_97))) :args (true _let_100)) :args ((or _let_94 _let_70 (not _let_97)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.u tptp.u QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_98)) _let_99 :args (_let_97 false _let_10)) :args (_let_94 false _let_36 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_34 _let_85 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_96 false _let_12)) :args (_let_87 false _let_94 false _let_96)) _let_93 :args (_let_54 false _let_89 false _let_88 false _let_87 false _let_84)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_72 _let_75 _let_77 _let_78 _let_81) :args (_let_36 _let_52 _let_33 _let_58 _let_63)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_82) (CONG _let_80 (TRANS _let_79 (SYMM _let_77) _let_76) :args _let_74) _let_73)) :args (_let_33 _let_36 _let_52 _let_58 _let_63)) :args ((not (and _let_36 _let_52 _let_33 _let_58 _let_63)) SB_LITERAL))) (CONG _let_71 (REFL :args (_let_60)) (REFL :args (_let_69)) _let_68 _let_67 :args _let_66)) _let_65 _let_50 _let_62 _let_61 :args (_let_60 true _let_59 false _let_33 false _let_58 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_34 _let_51 _let_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_30)) _let_31 :args (_let_56 false _let_13)) :args (_let_35 false _let_54 true _let_52 false _let_56)))) (let ((_let_116 (not _let_35))) (let ((_let_117 (and _let_36 _let_35 _let_33))) (let ((_let_118 (ASSUME :args (_let_35)))) (let ((_let_119 (TRANS (SYMM _let_118) _let_76))) (let ((_let_120 (tptp.member _let_19 _let_32))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_20 _let_20))) (let ((_let_123 (tptp.member _let_19 _let_26))) (let ((_let_124 (tptp.member _let_19 _let_85))) (let ((_let_125 (= _let_85 _let_26))) (let ((_let_126 (tptp.member _let_19 tptp.universal_class))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_127 _let_124))) (let ((_let_129 (_let_11))) (let ((_let_130 (ASSUME :args _let_129))) (let ((_let_131 ((tptp.unordered_pair X Y)))) (let ((_let_132 (tptp.unordered_pair tptp.v tptp.v))) (let ((_let_133 (tptp.member _let_132 tptp.universal_class))) (let ((_let_134 (= _let_19 _let_132))) (let ((_let_135 (and _let_134 _let_133))) (let ((_let_136 (ASSUME :args (_let_133)))) (let ((_let_137 (ASSUME :args (_let_134)))) (let ((_let_138 (= _let_85 _let_51))) (let ((_let_139 (tptp.member _let_85 _let_53))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_138 _let_125))) (let ((_let_142 (tptp.member tptp.u _let_85))) (let ((_let_143 (not _let_138))) (let ((_let_144 (or _let_38 _let_142))) (let ((_let_145 (ASSUME :args (_let_138)))) (let ((_let_146 (ASSUME :args (_let_142)))) (let ((_let_147 (tptp.member _let_85 _let_86))) (let ((_let_148 (tptp.member _let_85 tptp.universal_class))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_149 _let_147))) (let ((_let_151 (and _let_89 _let_88 _let_147 _let_84))) (let ((_let_152 (ASSUME :args (_let_147)))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_140 _let_138 _let_125 (not _let_141)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_151)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_152 _let_110 _let_111 _let_113) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_85)) _let_114 :args _let_74) (TRUE_INTRO _let_152))) :args (_let_147 _let_89 _let_88 _let_84))) :args (_let_89 _let_88 _let_147 _let_84))) :args (true _let_151)) _let_107 _let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_149 _let_147 (not _let_150)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.u _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.unordered_pair X Y)))) :args _let_98)) _let_99 :args (_let_148 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_85 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_129)) _let_130 :args (_let_150 false _let_11)) :args (_let_147 false _let_148 false _let_150)) _let_93 :args (_let_139 false _let_89 false _let_88 false _let_147 false _let_84)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_81 _let_78 _let_145 _let_146) :args (_let_142 _let_138 _let_58 _let_63)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_146)) (CONG _let_80 (TRANS (SYMM (SYMM _let_145)) (SYMM _let_79)) :args _let_74) _let_82)) :args (_let_63 _let_58 _let_138 _let_142)) :args ((not (and _let_142 _let_138 _let_58 _let_63)) SB_LITERAL))) (CONG (REFL :args ((not _let_142))) (REFL :args (_let_143)) _let_68 _let_67 :args _let_66)) _let_65 _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_38 _let_142 (not _let_144)))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.u _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_144 false _let_12)) :args (_let_142 false _let_37 false _let_144)) :args (_let_143 true _let_59 false _let_58 false _let_142)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_85 _let_51 _let_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_30)) _let_31 :args (_let_141 false _let_13)) :args (_let_125 false _let_139 true _let_138 false _let_141)))) (let ((_let_154 (and _let_124 _let_125))) (let ((_let_155 (_let_124 _let_125))) (let ((_let_156 (ASSUME :args (_let_124)))) (let ((_let_157 (ASSUME :args (_let_125)))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (REFL :args (_let_19)))) (let ((_let_160 (and _let_36 _let_35 _let_121))) (let ((_let_161 (ASSUME :args (_let_121)))) (let ((_let_162 (tptp.member _let_2 _let_85))) (let ((_let_163 (not _let_162))) (let ((_let_164 (or _let_163 _let_14 _let_21))) (let ((_let_165 (tptp.member _let_2 _let_26))) (let ((_let_166 (tptp.member _let_2 tptp.universal_class))) (let ((_let_167 (not _let_166))) (let ((_let_168 (or _let_167 _let_165))) (let ((_let_169 (tptp.member _let_83 _let_4))) (let ((_let_170 (not _let_169))) (let ((_let_171 (or _let_170 _let_166))) (let ((_let_172 (and _let_5 _let_88))) (let ((_let_173 (_let_5 _let_88))) (let ((_let_174 (and _let_125 _let_165))) (let ((_let_175 (ASSUME :args (_let_165)))) (let ((_let_176 (not _let_14))) (let ((_let_177 (ASSUME :args (_let_17)))) (let ((_let_178 (SYMM (SYMM _let_177)))) (let ((_let_179 (ASSUME :args (_let_18)))) (let ((_let_180 (SYMM (SYMM _let_179)))) (let ((_let_181 (ASSUME :args (_let_20)))) (let ((_let_182 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_177 _let_179 _let_181 _let_182 _let_22) :args (_let_176 _let_20 _let_18 _let_21 _let_17)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_22)) (TRUE_INTRO (TRANS _let_180 _let_178 (SYMM (TRANS (SYMM (SYMM _let_182)) (SYMM _let_181) _let_180 _let_178)))))) :args (_let_17 _let_18 _let_20 _let_21 _let_176)) :args ((not (and _let_176 _let_20 _let_18 _let_21 _let_17)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_176) _let_14))) (REFL :args ((not _let_20))) (REFL :args ((not _let_18))) (REFL :args ((not _let_21))) (REFL :args ((not _let_17))) :args _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_14 _let_21 _let_163 (not _let_164)))) _let_22 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_174)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_175 _let_157) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_2)) (SYMM _let_158) :args _let_74) (TRUE_INTRO _let_175))) :args (_let_165 _let_125))) :args (_let_125 _let_165))) :args (true _let_174)) _let_153 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_168)) :args ((or _let_167 _let_165 (not _let_168)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_170 _let_166 (not _let_171)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_172)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_48 _let_111) (SCOPE (TRUE_ELIM (TRANS (CONG _let_112 (REFL :args (_let_4)) :args _let_74) (TRUE_INTRO _let_48))) :args _let_173)) :args _let_173)) :args (true _let_172)) _let_48 _let_106 :args (_let_169 false _let_5 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_2 _let_15 tptp.universal_class tptp.universal_class QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_171 false _let_7)) :args (_let_166 false _let_169 false _let_171)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_2 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_168 false _let_12)) :args (_let_165 false _let_166 false _let_168)) :args (_let_162 false _let_125 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_2 tptp.u _let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30))) _let_31 :args (_let_164 false _let_13)) :args (_let_21 true _let_14 false _let_162 false _let_164)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_122))) :args ((or _let_121 _let_20 (not _let_122)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_160)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_161 _let_75 _let_118) (SCOPE (FALSE_ELIM (TRANS (CONG _let_159 _let_119 :args _let_74) (FALSE_INTRO _let_161))) :args (_let_121 _let_36 _let_35))) :args (_let_36 _let_35 _let_121))) :args (true _let_160)) (CONG _let_71 (REFL :args (_let_116)) (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_120))) (REFL :args ((not _let_123))) :args _let_66)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_154)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_156 _let_157) (SCOPE (TRUE_ELIM (TRANS (CONG _let_159 _let_158 :args _let_74) (TRUE_INTRO _let_156))) :args _let_155)) :args _let_155)) :args (true _let_154)) _let_153 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_127 _let_124 (not _let_128)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_135)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_136 _let_137) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_137)) _let_102 :args _let_74) (TRUE_INTRO _let_136))) :args (_let_133 _let_134))) :args (_let_134 _let_133))) :args (true _let_135)) :args ((or _let_126 (not _let_134) (not _let_133)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.v QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_23))) _let_24 :args (_let_134 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.v tptp.v QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_98)) _let_99 :args (_let_133 false _let_10)) :args (_let_126 false _let_134 false _let_133)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_19 tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_129)) _let_130 :args (_let_128 false _let_11)) :args (_let_124 false _let_126 false _let_128)) :args (_let_123 false _let_125 false _let_124)) _let_115 _let_61 :args (_let_120 false _let_123 false _let_35 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_19 tptp.u tptp.u QUANTIFIERS_INST_CBQI_PROP)) :args _let_30))) _let_31 :args (_let_122 false _let_13)) :args (_let_20 false _let_120 false _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_14 _let_28 _let_18 (not _let_29)))) _let_22 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_117)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_75 _let_118) (SCOPE (TRUE_ELIM (TRANS (CONG _let_80 _let_119 :args _let_74) _let_73)) :args (_let_33 _let_36 _let_35))) :args (_let_36 _let_35 _let_33))) :args (true _let_117)) :args ((or _let_70 _let_116 _let_27 _let_69))) _let_61 _let_115 _let_50 :args (_let_27 false _let_36 false _let_35 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.u _let_2 _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_30)) _let_31 :args (_let_29 false _let_13)) :args (_let_18 true _let_14 false _let_27 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_23))) _let_24 :args (_let_17 false _let_9)) _let_22 :args (false false _let_21 false _let_20 false _let_18 false _let_17 true _let_14)) :args ((forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted)) (or (not (tptp.subclass X Y)) (not (tptp.member U X)) (tptp.member U Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.member (tptp.not_subclass_element X Y) X) (tptp.subclass X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.not_subclass_element X Y) Y)) (tptp.subclass X Y))) (forall ((X $$unsorted)) (tptp.subclass X tptp.universal_class)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.subclass X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.subclass Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.subclass X Y)) (not (tptp.subclass Y X)) (= X Y))) _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y))) (tptp.member V Y))) (forall ((U $$unsorted) (X $$unsorted) (V $$unsorted) (Y $$unsorted)) (or (not (tptp.member U X)) (not (tptp.member V Y)) (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y)))) _let_6 (tptp.subclass tptp.element_relation _let_4) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X Y) tptp.element_relation)) (tptp.member X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.ordered_pair X Y))) (or (not (tptp.member _let_1 (tptp.cross_product tptp.universal_class tptp.universal_class))) (not (tptp.member X Y)) (tptp.member _let_1 tptp.element_relation)))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.intersection X Y))) (tptp.member Z X))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.intersection X Y))) (tptp.member Z Y))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z X)) (not (tptp.member Z Y)) (tptp.member Z (tptp.intersection X Y)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.complement X))) (not (tptp.member Z X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z tptp.universal_class)) (tptp.member Z (tptp.complement X)) (tptp.member Z X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.intersection (tptp.complement X) (tptp.complement Y))) (tptp.union X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.intersection (tptp.complement (tptp.intersection X Y)) (tptp.complement (tptp.intersection (tptp.complement X) (tptp.complement Y)))) (tptp.symmetric_difference X Y))) (forall ((Xr $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.intersection Xr (tptp.cross_product X Y)) (tptp.restrict Xr X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Xr $$unsorted)) (= (tptp.intersection (tptp.cross_product X Y) Xr) (tptp.restrict Xr X Y))) (forall ((X $$unsorted) (Z $$unsorted)) (or (not (= (tptp.restrict X (tptp.singleton Z) tptp.universal_class) tptp.null_class)) (not (tptp.member Z (tptp.domain_of X))))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z tptp.universal_class)) (= (tptp.restrict X (tptp.singleton Z) tptp.universal_class) tptp.null_class) (tptp.member Z (tptp.domain_of X)))) (forall ((X $$unsorted)) (tptp.subclass (tptp.rotate X) (tptp.cross_product (tptp.cross_product tptp.universal_class tptp.universal_class) tptp.universal_class))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair U V) W) (tptp.rotate X))) (tptp.member (tptp.ordered_pair (tptp.ordered_pair V W) U) X))) (forall ((V $$unsorted) (W $$unsorted) (U $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.ordered_pair (tptp.ordered_pair U V) W))) (or (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair V W) U) X)) (not (tptp.member _let_1 (tptp.cross_product (tptp.cross_product tptp.universal_class tptp.universal_class) tptp.universal_class))) (tptp.member _let_1 (tptp.rotate X))))) (forall ((X $$unsorted)) (tptp.subclass (tptp.flip X) (tptp.cross_product (tptp.cross_product tptp.universal_class tptp.universal_class) tptp.universal_class))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair U V) W) (tptp.flip X))) (tptp.member (tptp.ordered_pair (tptp.ordered_pair V U) W) X))) (forall ((V $$unsorted) (U $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.ordered_pair (tptp.ordered_pair U V) W))) (or (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair V U) W) X)) (not (tptp.member _let_1 (tptp.cross_product (tptp.cross_product tptp.universal_class tptp.universal_class) tptp.universal_class))) (tptp.member _let_1 (tptp.flip X))))) (forall ((Y $$unsorted)) (= (tptp.domain_of (tptp.flip (tptp.cross_product Y tptp.universal_class))) (tptp.inverse Y))) (forall ((Z $$unsorted)) (= (tptp.domain_of (tptp.inverse Z)) (tptp.range_of Z))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.first (tptp.not_subclass_element (tptp.restrict Z X (tptp.singleton Y)) tptp.null_class)) (tptp.domain Z X Y))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.second (tptp.not_subclass_element (tptp.restrict Z (tptp.singleton X) Y) tptp.null_class)) (tptp.range Z X Y))) (forall ((Xr $$unsorted) (X $$unsorted)) (= (tptp.range_of (tptp.restrict Xr X tptp.universal_class)) (tptp.image Xr X))) (forall ((X $$unsorted)) (= (tptp.union X (tptp.singleton X)) (tptp.successor X))) (tptp.subclass tptp.successor_relation _let_4) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X Y) tptp.successor_relation)) (= (tptp.successor X) Y))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.ordered_pair X Y))) (or (not (= (tptp.successor X) Y)) (not (tptp.member _let_1 (tptp.cross_product tptp.universal_class tptp.universal_class))) (tptp.member _let_1 tptp.successor_relation)))) (forall ((X $$unsorted)) (or (not (tptp.inductive X)) (tptp.member tptp.null_class X))) (forall ((X $$unsorted)) (or (not (tptp.inductive X)) (tptp.subclass (tptp.image tptp.successor_relation X) X))) (forall ((X $$unsorted)) (or (not (tptp.member tptp.null_class X)) (not (tptp.subclass (tptp.image tptp.successor_relation X) X)) (tptp.inductive X))) (tptp.inductive tptp.omega) (forall ((Y $$unsorted)) (or (not (tptp.inductive Y)) (tptp.subclass tptp.omega Y))) (tptp.member tptp.omega tptp.universal_class) (forall ((X $$unsorted)) (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class X)) (tptp.sum_class X))) (forall ((X $$unsorted)) (or (not (tptp.member X tptp.universal_class)) (tptp.member (tptp.sum_class X) tptp.universal_class))) (forall ((X $$unsorted)) (= (tptp.complement (tptp.image tptp.element_relation (tptp.complement X))) (tptp.power_class X))) (forall ((U $$unsorted)) (or (not (tptp.member U tptp.universal_class)) (tptp.member (tptp.power_class U) tptp.universal_class))) (forall ((Yr $$unsorted) (Xr $$unsorted)) (tptp.subclass (tptp.compose Yr Xr) (tptp.cross_product tptp.universal_class tptp.universal_class))) (forall ((Y $$unsorted) (Z $$unsorted) (Yr $$unsorted) (Xr $$unsorted)) (or (not (tptp.member (tptp.ordered_pair Y Z) (tptp.compose Yr Xr))) (tptp.member Z (tptp.image Yr (tptp.image Xr (tptp.singleton Y)))))) (forall ((Z $$unsorted) (Yr $$unsorted) (Xr $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.ordered_pair Y Z))) (or (not (tptp.member Z (tptp.image Yr (tptp.image Xr (tptp.singleton Y))))) (not (tptp.member _let_1 (tptp.cross_product tptp.universal_class tptp.universal_class))) (tptp.member _let_1 (tptp.compose Yr Xr))))) (forall ((X $$unsorted)) (or (not (tptp.single_valued_class X)) (tptp.subclass (tptp.compose X (tptp.inverse X)) tptp.identity_relation))) (forall ((X $$unsorted)) (or (not (tptp.subclass (tptp.compose X (tptp.inverse X)) tptp.identity_relation)) (tptp.single_valued_class X))) (forall ((Xf $$unsorted)) (or (not (tptp.function Xf)) (tptp.subclass Xf (tptp.cross_product tptp.universal_class tptp.universal_class)))) (forall ((Xf $$unsorted)) (or (not (tptp.function Xf)) (tptp.subclass (tptp.compose Xf (tptp.inverse Xf)) tptp.identity_relation))) (forall ((Xf $$unsorted)) (or (not (tptp.subclass Xf (tptp.cross_product tptp.universal_class tptp.universal_class))) (not (tptp.subclass (tptp.compose Xf (tptp.inverse Xf)) tptp.identity_relation)) (tptp.function Xf))) (forall ((Xf $$unsorted) (X $$unsorted)) (or (not (tptp.function Xf)) (not (tptp.member X tptp.universal_class)) (tptp.member (tptp.image Xf X) tptp.universal_class))) (forall ((X $$unsorted)) (or (= X tptp.null_class) (tptp.member (tptp.regular X) X))) (forall ((X $$unsorted)) (or (= X tptp.null_class) (= (tptp.intersection X (tptp.regular X)) tptp.null_class))) (forall ((Xf $$unsorted) (Y $$unsorted)) (= (tptp.sum_class (tptp.image Xf (tptp.singleton Y))) (tptp.apply Xf Y))) (tptp.function tptp.choice) (forall ((Y $$unsorted)) (or (not (tptp.member Y tptp.universal_class)) (= Y tptp.null_class) (tptp.member (tptp.apply tptp.choice Y) Y))) (forall ((Xf $$unsorted)) (or (not (tptp.one_to_one Xf)) (tptp.function Xf))) (forall ((Xf $$unsorted)) (or (not (tptp.one_to_one Xf)) (tptp.function (tptp.inverse Xf)))) (forall ((Xf $$unsorted)) (or (not (tptp.function (tptp.inverse Xf))) (not (tptp.function Xf)) (tptp.one_to_one Xf))) (= (tptp.intersection _let_4 (tptp.intersection _let_4 (tptp.complement (tptp.compose (tptp.complement tptp.element_relation) (tptp.inverse tptp.element_relation))))) tptp.subset_relation) (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation) (forall ((Xr $$unsorted)) (= (tptp.complement (tptp.domain_of (tptp.intersection Xr tptp.identity_relation))) (tptp.diagonalise Xr))) (forall ((X $$unsorted)) (= (tptp.intersection (tptp.domain_of X) (tptp.diagonalise (tptp.compose (tptp.inverse tptp.element_relation) X))) (tptp.cantor X))) (forall ((Xf $$unsorted)) (or (not (tptp.operation Xf)) (tptp.function Xf))) (forall ((Xf $$unsorted)) (let ((_let_1 (tptp.domain_of Xf))) (let ((_let_2 (tptp.domain_of _let_1))) (or (not (tptp.operation Xf)) (= (tptp.cross_product _let_2 _let_2) _let_1))))) (forall ((Xf $$unsorted)) (or (not (tptp.operation Xf)) (tptp.subclass (tptp.range_of Xf) (tptp.domain_of (tptp.domain_of Xf))))) (forall ((Xf $$unsorted)) (let ((_let_1 (tptp.domain_of Xf))) (let ((_let_2 (tptp.domain_of _let_1))) (or (not (tptp.function Xf)) (not (= (tptp.cross_product _let_2 _let_2) _let_1)) (not (tptp.subclass (tptp.range_of Xf) _let_2)) (tptp.operation Xf))))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.compatible Xh Xf1 Xf2)) (tptp.function Xh))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.compatible Xh Xf1 Xf2)) (= (tptp.domain_of (tptp.domain_of Xf1)) (tptp.domain_of Xh)))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.compatible Xh Xf1 Xf2)) (tptp.subclass (tptp.range_of Xh) (tptp.domain_of (tptp.domain_of Xf2))))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.function Xh)) (not (= (tptp.domain_of (tptp.domain_of Xf1)) (tptp.domain_of Xh))) (not (tptp.subclass (tptp.range_of Xh) (tptp.domain_of (tptp.domain_of Xf2)))) (tptp.compatible Xh Xf1 Xf2))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.homomorphism Xh Xf1 Xf2)) (tptp.operation Xf1))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.homomorphism Xh Xf1 Xf2)) (tptp.operation Xf2))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.homomorphism Xh Xf1 Xf2)) (tptp.compatible Xh Xf1 Xf2))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.ordered_pair X Y))) (or (not (tptp.homomorphism Xh Xf1 Xf2)) (not (tptp.member _let_1 (tptp.domain_of Xf1))) (= (tptp.apply Xf2 (tptp.ordered_pair (tptp.apply Xh X) (tptp.apply Xh Y))) (tptp.apply Xh (tptp.apply Xf1 _let_1)))))) (forall ((Xf1 $$unsorted) (Xf2 $$unsorted) (Xh $$unsorted)) (or (not (tptp.operation Xf1)) (not (tptp.operation Xf2)) (not (tptp.compatible Xh Xf1 Xf2)) (tptp.member (tptp.ordered_pair (tptp.not_homomorphism1 Xh Xf1 Xf2) (tptp.not_homomorphism2 Xh Xf1 Xf2)) (tptp.domain_of Xf1)) (tptp.homomorphism Xh Xf1 Xf2))) (forall ((Xf1 $$unsorted) (Xf2 $$unsorted) (Xh $$unsorted)) (let ((_let_1 (tptp.not_homomorphism2 Xh Xf1 Xf2))) (let ((_let_2 (tptp.not_homomorphism1 Xh Xf1 Xf2))) (or (not (tptp.operation Xf1)) (not (tptp.operation Xf2)) (not (tptp.compatible Xh Xf1 Xf2)) (not (= (tptp.apply Xf2 (tptp.ordered_pair (tptp.apply Xh _let_2) (tptp.apply Xh _let_1))) (tptp.apply Xh (tptp.apply Xf1 (tptp.ordered_pair _let_2 _let_1))))) (tptp.homomorphism Xh Xf1 Xf2))))) _let_5 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.16/26.42 )
% 26.16/26.43 % SZS output end Proof for SET020-6
% 26.16/26.43 % cvc5---1.0.5 exiting
% 26.29/26.43 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------