TSTP Solution File: SET030-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET030-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 14:36:59 EDT 2023
% Result : Unsatisfiable 85.06s 85.26s
% Output : Proof 85.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET030-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 10:29:56 EDT 2023
% 0.21/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.tX7mZx8glS/cvc5---1.0.5_24565.p...
% 0.21/0.54 ------- get file name : TPTP file name is SET030-3
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24565.smt2...
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.44/10.70 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.55/15.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.61/20.82 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.60/25.86 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.70/30.91 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.76/35.97 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.83/41.06 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.03/46.35 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.24/51.45 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.29/56.51 --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.38/61.61 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.45/66.68 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.63/76.81 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 85.06/85.26 % SZS status Unsatisfiable for SET030-3
% 85.06/85.26 % SZS output start Proof for SET030-3
% 85.06/85.26 (
% 85.06/85.26 (let ((_let_1 (tptp.apply tptp.a_function tptp.b))) (let ((_let_2 (tptp.little_set _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.function tptp.a_function))) (let ((_let_5 (forall ((Y $$unsorted) (Xf $$unsorted)) (tptp.subset (tptp.image (tptp.singleton_set Y) Xf) (tptp.apply Xf Y))))) (let ((_let_6 (forall ((Xf $$unsorted) (Y $$unsorted)) (tptp.subset (tptp.apply Xf Y) (tptp.sigma (tptp.image (tptp.singleton_set Y) Xf)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.subset X Y)) (not (tptp.subset Y X)) (= X Y))))) (let ((_let_8 (forall ((Z $$unsorted) (Xf $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (tptp.member Z (tptp.apply Xf Y)) (not (tptp.ordered_pair_predicate W)) (not (tptp.member W Xf)) (not (= (tptp.first W) Y)) (not (tptp.member Z (tptp.second W))))))) (let ((_let_9 (forall ((X $$unsorted)) (or (not (tptp.little_set X)) (= X tptp.empty_set) (tptp.member (tptp.f26 X) X))))) (let ((_let_10 (forall ((X $$unsorted) (Xf $$unsorted)) (or (not (tptp.little_set X)) (not (tptp.function Xf)) (tptp.little_set (tptp.image X Xf)))))) (let ((_let_11 (forall ((Z $$unsorted) (X $$unsorted) (Xf $$unsorted)) (or (not (tptp.member Z (tptp.image X Xf))) (= (tptp.second (tptp.f22 Z X Xf)) Z))))) (let ((_let_12 (forall ((Z $$unsorted) (X $$unsorted) (Xf $$unsorted)) (or (not (tptp.member Z (tptp.image X Xf))) (tptp.member (tptp.first (tptp.f22 Z X Xf)) X))))) (let ((_let_13 (forall ((Z $$unsorted) (X $$unsorted) (Xf $$unsorted)) (or (not (tptp.member Z (tptp.image X Xf))) (tptp.member (tptp.f22 Z X Xf) Xf))))) (let ((_let_14 (forall ((Z $$unsorted) (X $$unsorted) (Xf $$unsorted)) (or (not (tptp.member Z (tptp.image X Xf))) (tptp.ordered_pair_predicate (tptp.f22 Z X Xf)))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.subset X Y) (not (tptp.member (tptp.f17 X Y) Y)))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.subset X Y) (tptp.member (tptp.f17 X Y) X))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted)) (or (not (tptp.subset X Y)) (not (tptp.member U X)) (tptp.member U Y))))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (tptp.little_set U)) (tptp.little_set (tptp.sigma U)))))) (let ((_let_19 (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.sigma X))) (tptp.member Z (tptp.f16 Z X)))))) (let ((_let_20 (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.sigma X))) (tptp.member (tptp.f16 Z X) X))))) (let ((_let_21 (forall ((Z $$unsorted)) (not (tptp.member Z tptp.empty_set))))) (let ((_let_22 (forall ((X $$unsorted)) (= (tptp.singleton_set X) (tptp.non_ordered_pair X X))))) (let ((_let_23 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.little_set (tptp.non_ordered_pair X Y))))) (let ((_let_24 (forall ((U $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member U (tptp.non_ordered_pair X Y))) (= U X) (= U Y))))) (let ((_let_25 (tptp.singleton_set tptp.b))) (let ((_let_26 (tptp.image _let_25 tptp.a_function))) (let ((_let_27 (tptp.sigma _let_26))) (let ((_let_28 (tptp.little_set _let_27))) (let ((_let_29 (= _let_1 _let_27))) (let ((_let_30 (ASSUME :args (_let_3)))) (let ((_let_31 (tptp.little_set _let_26))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_28))) (let ((_let_34 (_let_18))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (not _let_4))) (let ((_let_37 (tptp.little_set _let_25))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_31))) (let ((_let_40 (_let_10))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (tptp.non_ordered_pair tptp.b tptp.b))) (let ((_let_43 (= _let_25 _let_42))) (let ((_let_44 (tptp.little_set _let_42))) (let ((_let_45 (_let_22))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.singleton_set X)))) :args _let_45)) _let_46 :args (_let_43 false _let_22)))) (let ((_let_48 (_let_23))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (and _let_43 _let_44))) (let ((_let_51 (ASSUME :args (_let_44)))) (let ((_let_52 (APPLY_UF tptp.little_set))) (let ((_let_53 (ASSUME :args (_let_43)))) (let ((_let_54 (SYMM _let_53))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_36 _let_31 _let_38 (not _let_39)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_50)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_51 _let_53) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_54) :args _let_52) (TRUE_INTRO _let_51))) :args (_let_44 _let_43))) :args (_let_43 _let_44))) :args (true _let_50)) :args ((or _let_37 (not _let_43) (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.b tptp.b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_48)) _let_49 :args (_let_44 false _let_23)) _let_47 :args (_let_37 false _let_44 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_25 tptp.a_function QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.image X Xf)))) :args _let_40)) _let_41 :args (_let_39 false _let_10)) :args (_let_31 false _let_4 false _let_37 false _let_39)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_28 (not _let_33)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sigma U)))) :args _let_34)) _let_35 :args (_let_33 false _let_18)) :args (_let_28 false _let_31 false _let_33)))) (let ((_let_57 (tptp.subset _let_27 _let_1))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.subset _let_1 _let_27))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_58 _let_29))) (let ((_let_62 (_let_7))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (tptp.f17 _let_27 _let_1))) (let ((_let_65 (tptp.member _let_64 _let_27))) (let ((_let_66 (or _let_57 _let_65))) (let ((_let_67 (tptp.member _let_64 _let_1))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_57 _let_68))) (let ((_let_70 (tptp.f16 _let_64 _let_26))) (let ((_let_71 (tptp.member _let_70 _let_26))) (let ((_let_72 (not _let_65))) (let ((_let_73 (or _let_72 _let_71))) (let ((_let_74 (tptp.member _let_64 _let_70))) (let ((_let_75 (or _let_72 _let_74))) (let ((_let_76 (tptp.subset _let_26 _let_1))) (let ((_let_77 (tptp.member _let_64 _let_26))) (let ((_let_78 (not _let_77))) (let ((_let_79 (not _let_76))) (let ((_let_80 (or _let_79 _let_78 _let_67))) (let ((_let_81 (tptp.f22 _let_70 _let_25 tptp.a_function))) (let ((_let_82 (tptp.ordered_pair_predicate _let_81))) (let ((_let_83 (not _let_71))) (let ((_let_84 (or _let_83 _let_82))) (let ((_let_85 (tptp.member _let_81 tptp.a_function))) (let ((_let_86 (or _let_83 _let_85))) (let ((_let_87 (tptp.first _let_81))) (let ((_let_88 (tptp.member _let_87 _let_25))) (let ((_let_89 (or _let_83 _let_88))) (let ((_let_90 (tptp.second _let_81))) (let ((_let_91 (= _let_70 _let_90))) (let ((_let_92 (or _let_83 _let_91))) (let ((_let_93 (= tptp.empty_set _let_26))) (let ((_let_94 (tptp.f26 _let_26))) (let ((_let_95 (tptp.member _let_94 _let_26))) (let ((_let_96 (or _let_32 _let_93 _let_95))) (let ((_let_97 (tptp.first (tptp.f22 _let_94 _let_25 tptp.a_function)))) (let ((_let_98 (tptp.member _let_97 _let_25))) (let ((_let_99 (not _let_95))) (let ((_let_100 (or _let_99 _let_98))) (let ((_let_101 (tptp.member _let_97 _let_42))) (let ((_let_102 (= tptp.b _let_97))) (let ((_let_103 (not _let_101))) (let ((_let_104 (or _let_103 _let_102 _let_102))) (let ((_let_105 (tptp.member _let_87 _let_42))) (let ((_let_106 (tptp.member _let_64 _let_90))) (let ((_let_107 (= tptp.b _let_87))) (let ((_let_108 (not _let_105))) (let ((_let_109 (or _let_108 _let_107 _let_107))) (let ((_let_110 (not _let_106))) (let ((_let_111 (not _let_85))) (let ((_let_112 (not _let_82))) (let ((_let_113 (tptp.member _let_64 (tptp.apply tptp.a_function _let_87)))) (let ((_let_114 (or _let_113 _let_112 _let_111 _let_110))) (let ((_let_115 (_let_16))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 (_let_15))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 (_let_20))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 ((not (= (tptp.member Z (tptp.sigma X)) false))))) (let ((_let_122 (_let_19))) (let ((_let_123 (ASSUME :args _let_122))) (let ((_let_124 (_let_5))) (let ((_let_125 (ASSUME :args _let_124))) (let ((_let_126 (_let_17))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 (_let_14))) (let ((_let_129 (ASSUME :args _let_128))) (let ((_let_130 (_let_13))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 (_let_12))) (let ((_let_133 (ASSUME :args _let_132))) (let ((_let_134 ((not (= (tptp.member Z (tptp.image X Xf)) false))))) (let ((_let_135 (forall ((Z $$unsorted) (X $$unsorted) (Xf $$unsorted)) (or (not (tptp.member Z (tptp.image X Xf))) (= Z (tptp.second (tptp.f22 Z X Xf))))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (tptp.f26 _let_27))) (let ((_let_138 (tptp.f16 _let_137 _let_26))) (let ((_let_139 (tptp.member _let_138 tptp.empty_set))) (let ((_let_140 (tptp.member _let_138 _let_26))) (let ((_let_141 (tptp.member _let_137 _let_27))) (let ((_let_142 (not _let_141))) (let ((_let_143 (or _let_142 _let_140))) (let ((_let_144 (= tptp.empty_set _let_27))) (let ((_let_145 (not _let_28))) (let ((_let_146 (or _let_145 _let_144 _let_141))) (let ((_let_147 (not _let_93))) (let ((_let_148 (not _let_139))) (let ((_let_149 (_let_21))) (let ((_let_150 (ASSUME :args _let_149))) (let ((_let_151 (not _let_140))) (let ((_let_152 (or))) (let ((_let_153 (REFL :args (_let_147)))) (let ((_let_154 (and _let_93 _let_148))) (let ((_let_155 (ASSUME :args (_let_148)))) (let ((_let_156 (APPLY_UF tptp.member))) (let ((_let_157 (ASSUME :args (_let_93)))) (let ((_let_158 (SYMM (SYMM _let_157)))) (let ((_let_159 (forall ((X $$unsorted)) (or (not (tptp.little_set X)) (= tptp.empty_set X) (tptp.member (tptp.f26 X) X))))) (let ((_let_160 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_161 (_let_159))) (let ((_let_162 ((not (= (tptp.little_set X) false))))) (let ((_let_163 (ASSUME :args (_let_78)))) (let ((_let_164 (ASSUME :args (_let_144)))) (let ((_let_165 (REFL :args (_let_64)))) (let ((_let_166 (ASSUME :args (_let_65)))) (let ((_let_167 (and _let_43 _let_98))) (let ((_let_168 (ASSUME :args (_let_98)))) (let ((_let_169 (_let_24))) (let ((_let_170 (ASSUME :args _let_169))) (let ((_let_171 (and _let_43 _let_88))) (let ((_let_172 (ASSUME :args (_let_88)))) (let ((_let_173 (and _let_74 _let_91))) (let ((_let_174 (_let_74 _let_91))) (let ((_let_175 (ASSUME :args (_let_74)))) (let ((_let_176 (ASSUME :args (_let_91)))) (let ((_let_177 (forall ((Z $$unsorted) (Xf $$unsorted) (W $$unsorted)) (or (tptp.member Z (tptp.apply Xf (tptp.first W))) (not (tptp.ordered_pair_predicate W)) (not (tptp.member W Xf)) (not (tptp.member Z (tptp.second W))))))) (let ((_let_178 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_179 (and _let_68 _let_102 _let_107))) (let ((_let_180 (_let_68 _let_102 _let_107))) (let ((_let_181 (ASSUME :args (_let_68)))) (let ((_let_182 (APPLY_UF tptp.apply))) (let ((_let_183 (ASSUME :args (_let_102)))) (let ((_let_184 (REFL :args (tptp.a_function)))) (let ((_let_185 (ASSUME :args (_let_107)))) (let ((_let_186 (_let_6))) (let ((_let_187 (ASSUME :args _let_186))) (let ((_let_188 (ASSUME :args (_let_28)))) (let ((_let_189 (ASSUME :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_188 _let_189 _let_30) :args (_let_3 _let_28 _let_29)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_30)) (CONG (SYMM (SYMM _let_189)) :args _let_52) (TRUE_INTRO _let_188))) :args (_let_28 _let_29 _let_3)) :args ((not (and _let_3 _let_28 _let_29)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args (_let_145)) (REFL :args ((not _let_29))) :args _let_152)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_29 _let_58 (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (tptp.a_function tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.apply Xf Y)))) :args _let_186)) _let_187 :args (_let_59 false _let_6)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_179)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_181 _let_183 _let_185) (SCOPE (FALSE_ELIM (TRANS (CONG _let_165 (TRANS (CONG _let_184 (TRANS (SYMM _let_185) _let_183) :args _let_182) (CONG _let_184 (SYMM _let_183) :args _let_182)) :args _let_156) (FALSE_INTRO _let_181))) :args _let_180)) :args _let_180)) :args (true _let_179)) (CONG 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:args _let_174)) :args (true _let_173)) (RESOLUTION (CNF_AND_NEG :args (_let_171)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_172 _let_53) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_87)) _let_54 :args _let_156) (TRUE_INTRO _let_172))) :args (_let_88 _let_43))) :args (_let_43 _let_88))) :args (true _let_171)) _let_47 (REORDERING (FACTORING (CNF_OR_POS :args (_let_104))) :args ((or _let_103 _let_102 (not _let_104)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_97 tptp.b tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_169))) _let_170 :args (_let_104 false _let_24)) (RESOLUTION (CNF_AND_NEG :args (_let_167)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_168 _let_53) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_97)) _let_54 :args _let_156) (TRUE_INTRO _let_168))) :args (_let_98 _let_43))) :args (_let_43 _let_98))) :args (true _let_167)) _let_47 (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_99 _let_98 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_let_67 false _let_69 false _let_65 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_1 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset X Y) false))))) :args _let_62)) _let_63 :args (_let_61 false _let_7)) :args (_let_29 false _let_59 false _let_57 false _let_61)) _let_56 _let_30 :args (false false _let_29 false _let_28 true _let_2)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X Y)) (tptp.little_set X))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.little_set (tptp.f1 X Y)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f1 X Y))) (or (tptp.member _let_1 X) (tptp.member _let_1 Y) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f1 X Y))) (or (not (tptp.member _let_1 X)) (not (tptp.member _let_1 Y)) (= X Y)))) _let_24 (forall ((U $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (tptp.member U (tptp.non_ordered_pair X Y)) (not (tptp.little_set U)) (not (= U X)))) (forall ((U $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (tptp.member U (tptp.non_ordered_pair X Y)) (not (tptp.little_set U)) (not (= U Y)))) _let_23 _let_22 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.non_ordered_pair (tptp.singleton_set X) (tptp.non_ordered_pair X Y)))) (forall ((X $$unsorted)) (or (not (tptp.ordered_pair_predicate X)) (tptp.little_set (tptp.f2 X)))) (forall ((X $$unsorted)) (or (not (tptp.ordered_pair_predicate X)) (tptp.little_set (tptp.f3 X)))) (forall ((X $$unsorted)) (or (not (tptp.ordered_pair_predicate X)) (= X (tptp.ordered_pair (tptp.f2 X) (tptp.f3 X))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (tptp.ordered_pair_predicate X) (not (tptp.little_set Y)) (not (tptp.little_set Z)) (not (= X (tptp.ordered_pair Y Z))))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.first X))) (tptp.little_set (tptp.f4 Z X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.first X))) (tptp.little_set (tptp.f5 Z X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.first X))) (= X (tptp.ordered_pair (tptp.f4 Z X) (tptp.f5 Z X))))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.first X))) (tptp.member Z (tptp.f4 Z X)))) (forall ((Z $$unsorted) (X $$unsorted) (U $$unsorted) (V $$unsorted)) (or (tptp.member Z (tptp.first X)) (not (tptp.little_set U)) (not (tptp.little_set V)) (not (= X (tptp.ordered_pair U V))) (not (tptp.member Z U)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.second X))) (tptp.little_set (tptp.f6 Z X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.second X))) (tptp.little_set (tptp.f7 Z X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.second X))) (= X (tptp.ordered_pair (tptp.f6 Z X) (tptp.f7 Z X))))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.second X))) (tptp.member Z (tptp.f7 Z X)))) (forall ((Z $$unsorted) (X $$unsorted) (U $$unsorted) (V $$unsorted)) (or (tptp.member Z (tptp.second X)) (not (tptp.little_set U)) (not (tptp.little_set V)) (not (= X (tptp.ordered_pair U V))) (not (tptp.member Z V)))) (forall ((Z $$unsorted)) (or (not (tptp.member Z tptp.estin)) (tptp.ordered_pair_predicate Z))) (forall ((Z $$unsorted)) (or (not (tptp.member Z tptp.estin)) (tptp.member (tptp.first Z) (tptp.second Z)))) (forall ((Z $$unsorted)) (or (tptp.member Z tptp.estin) (not (tptp.little_set Z)) (not (tptp.ordered_pair_predicate Z)) (not (tptp.member (tptp.first Z) (tptp.second Z))))) (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 $$unsorted)) (or (tptp.member Z (tptp.intersection X Y)) (not (tptp.member Z X)) (not (tptp.member Z Y)))) (forall ((Z 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(tptp.ordered_pair_predicate Z)) (not (tptp.member (tptp.ordered_pair (tptp.second Z) (tptp.first Z)) X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.rotate_right X))) (tptp.little_set (tptp.f9 Z X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.rotate_right X))) (tptp.little_set (tptp.f10 Z X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.rotate_right X))) (tptp.little_set (tptp.f11 Z X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.rotate_right X))) (= Z (tptp.ordered_pair (tptp.f9 Z X) (tptp.ordered_pair (tptp.f10 Z X) (tptp.f11 Z X)))))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.rotate_right X))) (tptp.member (tptp.ordered_pair (tptp.f10 Z X) (tptp.ordered_pair (tptp.f11 Z X) (tptp.f9 Z X))) X))) (forall ((Z $$unsorted) (X $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (tptp.member Z (tptp.rotate_right X)) (not (tptp.little_set Z)) (not (tptp.little_set U)) (not (tptp.little_set V)) (not (tptp.little_set W)) (not (= Z (tptp.ordered_pair U (tptp.ordered_pair V W)))) (not (tptp.member (tptp.ordered_pair V (tptp.ordered_pair W U)) X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.flip_range_of X))) (tptp.little_set (tptp.f12 Z X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.flip_range_of X))) (tptp.little_set (tptp.f13 Z X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.flip_range_of X))) (tptp.little_set (tptp.f14 Z X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.flip_range_of X))) (= Z (tptp.ordered_pair (tptp.f12 Z X) (tptp.ordered_pair (tptp.f13 Z X) (tptp.f14 Z X)))))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.flip_range_of X))) (tptp.member (tptp.ordered_pair (tptp.f12 Z X) (tptp.ordered_pair (tptp.f14 Z X) (tptp.f13 Z X))) X))) (forall ((Z $$unsorted) (X $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (tptp.member Z (tptp.flip_range_of X)) (not (tptp.little_set Z)) (not (tptp.little_set U)) (not (tptp.little_set V)) (not (tptp.little_set W)) (not (= Z (tptp.ordered_pair U (tptp.ordered_pair V W)))) (not (tptp.member (tptp.ordered_pair U (tptp.ordered_pair W V)) X)))) (forall ((X $$unsorted)) (= (tptp.successor X) (tptp.union X (tptp.singleton_set X)))) _let_21 (forall ((Z $$unsorted)) (or (tptp.member Z tptp.universal_set) (not (tptp.little_set Z)))) (tptp.little_set tptp.infinity) (tptp.member tptp.empty_set tptp.infinity) (forall ((X $$unsorted)) (or (not (tptp.member X tptp.infinity)) (tptp.member (tptp.successor X) tptp.infinity))) _let_20 _let_19 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (tptp.member Z (tptp.sigma X)) (not (tptp.member Y X)) (not (tptp.member Z Y)))) _let_18 _let_17 _let_16 _let_15 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.proper_subset X Y)) (tptp.subset X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.proper_subset X Y)) (not (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.proper_subset X Y) (not (tptp.subset X Y)) (= X Y))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.powerset X))) (tptp.subset Z X))) (forall ((Z $$unsorted) (X $$unsorted)) (or (tptp.member Z (tptp.powerset X)) (not (tptp.little_set Z)) (not (tptp.subset Z X)))) (forall ((U $$unsorted)) (or (not (tptp.little_set U)) (tptp.little_set (tptp.powerset U)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.relation Z)) (not (tptp.member X Z)) (tptp.ordered_pair_predicate X))) (forall ((Z $$unsorted)) (or (tptp.relation Z) (tptp.member (tptp.f18 Z) Z))) (forall ((Z $$unsorted)) (or (tptp.relation Z) (not (tptp.ordered_pair_predicate (tptp.f18 Z))))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.single_valued_set X)) (not (tptp.little_set U)) (not (tptp.little_set V)) (not (tptp.little_set W)) (not (tptp.member (tptp.ordered_pair U V) X)) (not (tptp.member (tptp.ordered_pair U W) X)) (= V W))) (forall ((X $$unsorted)) (or (tptp.single_valued_set X) (tptp.little_set (tptp.f19 X)))) (forall ((X $$unsorted)) (or (tptp.single_valued_set X) (tptp.little_set (tptp.f20 X)))) (forall ((X $$unsorted)) (or (tptp.single_valued_set X) (tptp.little_set (tptp.f21 X)))) (forall ((X $$unsorted)) (or (tptp.single_valued_set X) (tptp.member (tptp.ordered_pair (tptp.f19 X) (tptp.f20 X)) X))) (forall ((X $$unsorted)) (or (tptp.single_valued_set X) (tptp.member (tptp.ordered_pair (tptp.f19 X) (tptp.f21 X)) X))) (forall ((X $$unsorted)) (or (tptp.single_valued_set X) (not (= (tptp.f20 X) (tptp.f21 X))))) (forall ((Xf $$unsorted)) (or (not (tptp.function Xf)) (tptp.relation Xf))) (forall ((Xf $$unsorted)) (or (not (tptp.function Xf)) (tptp.single_valued_set Xf))) (forall ((Xf $$unsorted)) (or (tptp.function Xf) (not (tptp.relation Xf)) (not (tptp.single_valued_set Xf)))) _let_14 _let_13 _let_12 _let_11 (forall ((Z $$unsorted) (X $$unsorted) (Xf $$unsorted) (Y $$unsorted)) (or (tptp.member Z (tptp.image X Xf)) (not (tptp.little_set Z)) (not (tptp.ordered_pair_predicate Y)) (not (tptp.member Y Xf)) (not (tptp.member (tptp.first Y) X)) (not (= (tptp.second Y) Z)))) _let_10 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted)) (or (not (tptp.disjoint X Y)) (not (tptp.member U X)) (not (tptp.member U Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.disjoint X Y) (tptp.member (tptp.f23 X Y) X))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.disjoint X Y) (tptp.member (tptp.f23 X Y) Y))) (forall ((X $$unsorted)) (or (= X tptp.empty_set) (tptp.member (tptp.f24 X) X))) (forall ((X $$unsorted)) (or (= X tptp.empty_set) (tptp.disjoint (tptp.f24 X) X))) (tptp.function tptp.f25) _let_9 (forall ((X $$unsorted)) (or (not (tptp.little_set X)) (= X tptp.empty_set) (tptp.member (tptp.ordered_pair X (tptp.f26 X)) tptp.f25))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.range_of X))) (tptp.ordered_pair_predicate (tptp.f27 Z X)))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.range_of X))) (tptp.member (tptp.f27 Z X) X))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.range_of X))) (= Z (tptp.second (tptp.f27 Z X))))) (forall ((Z $$unsorted) (X $$unsorted) (Xp $$unsorted)) (or (tptp.member Z (tptp.range_of X)) (not (tptp.little_set Z)) (not (tptp.ordered_pair_predicate Xp)) (not (tptp.member Xp X)) (not (= Z (tptp.second Xp))))) (forall ((Z $$unsorted)) (or (not (tptp.member Z tptp.identity_relation)) (tptp.ordered_pair_predicate Z))) (forall ((Z $$unsorted)) (or (not (tptp.member Z tptp.identity_relation)) (= (tptp.first Z) (tptp.second Z)))) (forall ((Z $$unsorted)) (or (tptp.member Z tptp.identity_relation) (not (tptp.little_set Z)) (not (tptp.ordered_pair_predicate Z)) (not (= (tptp.first Z) (tptp.second Z))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.restrict X Y) (tptp.intersection X (tptp.cross_product Y tptp.universal_set)))) (forall ((Xf $$unsorted)) (or (not (tptp.one_to_one_function Xf)) (tptp.function Xf))) (forall ((Xf $$unsorted)) (or (not (tptp.one_to_one_function Xf)) (tptp.function (tptp.converse Xf)))) (forall ((Xf $$unsorted)) (or (tptp.one_to_one_function Xf) (not (tptp.function Xf)) (not (tptp.function (tptp.converse Xf))))) (forall ((Z $$unsorted) (Xf $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.apply Xf Y))) (tptp.ordered_pair_predicate (tptp.f28 Z Xf Y)))) (forall ((Z $$unsorted) (Xf $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.apply Xf Y))) (tptp.member (tptp.f28 Z Xf Y) Xf))) (forall ((Z $$unsorted) (Xf $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.apply Xf Y))) (= (tptp.first (tptp.f28 Z Xf Y)) Y))) (forall ((Z $$unsorted) (Xf $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.apply Xf Y))) (tptp.member Z (tptp.second (tptp.f28 Z Xf Y))))) _let_8 (forall ((Xf $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.apply_to_two_arguments Xf X Y) (tptp.apply Xf (tptp.ordered_pair X Y)))) (forall ((Xf $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.maps Xf X Y)) (tptp.function Xf))) (forall ((Xf $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.maps Xf X Y)) (= (tptp.domain_of Xf) X))) (forall ((Xf $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.maps Xf X Y)) (tptp.subset (tptp.range_of Xf) Y))) (forall ((Xf $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (tptp.maps Xf X Y) (not (tptp.function Xf)) (not (= (tptp.domain_of Xf) X)) (not (tptp.subset (tptp.range_of Xf) Y)))) (forall ((Xs $$unsorted) (Xf $$unsorted)) (or (not (tptp.closed Xs Xf)) (tptp.little_set Xs))) (forall ((Xs $$unsorted) (Xf $$unsorted)) (or (not (tptp.closed Xs Xf)) (tptp.little_set Xf))) (forall ((Xs $$unsorted) (Xf $$unsorted)) (or (not (tptp.closed Xs Xf)) (tptp.maps Xf (tptp.cross_product Xs Xs) Xs))) (forall ((Xs $$unsorted) (Xf $$unsorted)) (or (tptp.closed Xs Xf) (not (tptp.little_set Xs)) (not (tptp.little_set Xf)) (not (tptp.maps Xf (tptp.cross_product Xs Xs) Xs)))) (forall ((Z $$unsorted) (Xf $$unsorted) (Xg $$unsorted)) (or (not (tptp.member Z (tptp.compose Xf Xg))) (tptp.little_set (tptp.f29 Z Xf Xg)))) (forall ((Z $$unsorted) (Xf $$unsorted) (Xg $$unsorted)) (or (not (tptp.member Z (tptp.compose Xf Xg))) (tptp.little_set (tptp.f30 Z Xf Xg)))) (forall ((Z $$unsorted) (Xf $$unsorted) (Xg $$unsorted)) (or (not (tptp.member Z (tptp.compose Xf Xg))) (tptp.little_set (tptp.f31 Z Xf Xg)))) (forall ((Z $$unsorted) (Xf $$unsorted) (Xg $$unsorted)) (or (not (tptp.member Z (tptp.compose Xf Xg))) (= Z (tptp.ordered_pair (tptp.f29 Z Xf Xg) (tptp.f30 Z Xf Xg))))) (forall ((Z $$unsorted) (Xf $$unsorted) (Xg $$unsorted)) (or (not (tptp.member Z (tptp.compose Xf Xg))) (tptp.member (tptp.ordered_pair (tptp.f29 Z Xf Xg) (tptp.f31 Z Xf Xg)) Xf))) (forall ((Z $$unsorted) (Xf $$unsorted) (Xg $$unsorted)) (or (not (tptp.member Z (tptp.compose Xf Xg))) (tptp.member (tptp.ordered_pair (tptp.f31 Z Xf Xg) (tptp.f30 Z Xf Xg)) Xg))) (forall ((Z $$unsorted) (Xf $$unsorted) (Xg $$unsorted) (X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (tptp.member Z (tptp.compose Xf Xg)) (not (tptp.little_set Z)) (not (tptp.little_set X)) (not (tptp.little_set Y)) (not (tptp.little_set W)) (not (= Z (tptp.ordered_pair X Y))) (not (tptp.member (tptp.ordered_pair X W) Xf)) (not (tptp.member (tptp.ordered_pair W Y) Xg)))) (forall ((Xh $$unsorted) (Xs1 $$unsorted) (Xf1 $$unsorted) (Xs2 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.homomorphism Xh Xs1 Xf1 Xs2 Xf2)) (tptp.closed Xs1 Xf1))) (forall ((Xh $$unsorted) (Xs1 $$unsorted) (Xf1 $$unsorted) (Xs2 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.homomorphism Xh Xs1 Xf1 Xs2 Xf2)) (tptp.closed Xs2 Xf2))) (forall ((Xh $$unsorted) (Xs1 $$unsorted) (Xf1 $$unsorted) (Xs2 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.homomorphism Xh Xs1 Xf1 Xs2 Xf2)) (tptp.maps Xh Xs1 Xs2))) (forall ((Xh $$unsorted) (Xs1 $$unsorted) (Xf1 $$unsorted) (Xs2 $$unsorted) (Xf2 $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.homomorphism Xh Xs1 Xf1 Xs2 Xf2)) (not (tptp.member X Xs1)) (not (tptp.member Y Xs1)) (= (tptp.apply Xh (tptp.apply_to_two_arguments Xf1 X Y)) (tptp.apply_to_two_arguments Xf2 (tptp.apply Xh X) (tptp.apply Xh Y))))) (forall ((Xh $$unsorted) (Xs1 $$unsorted) (Xf1 $$unsorted) (Xs2 $$unsorted) (Xf2 $$unsorted)) (or (tptp.homomorphism Xh Xs1 Xf1 Xs2 Xf2) (not (tptp.closed Xs1 Xf1)) (not (tptp.closed Xs2 Xf2)) (not (tptp.maps Xh Xs1 Xs2)) (tptp.member (tptp.f32 Xh Xs1 Xf1 Xs2 Xf2) Xs1))) (forall ((Xh $$unsorted) (Xs1 $$unsorted) (Xf1 $$unsorted) (Xs2 $$unsorted) (Xf2 $$unsorted)) (or (tptp.homomorphism Xh Xs1 Xf1 Xs2 Xf2) (not (tptp.closed Xs1 Xf1)) (not (tptp.closed Xs2 Xf2)) (not (tptp.maps Xh Xs1 Xs2)) (tptp.member (tptp.f33 Xh Xs1 Xf1 Xs2 Xf2) Xs1))) (forall ((Xh $$unsorted) (Xs1 $$unsorted) (Xf1 $$unsorted) (Xs2 $$unsorted) (Xf2 $$unsorted)) (let ((_let_1 (tptp.f33 Xh Xs1 Xf1 Xs2 Xf2))) (let ((_let_2 (tptp.f32 Xh Xs1 Xf1 Xs2 Xf2))) (or (tptp.homomorphism Xh Xs1 Xf1 Xs2 Xf2) (not (tptp.closed Xs1 Xf1)) (not (tptp.closed Xs2 Xf2)) (not (tptp.maps Xh Xs1 Xs2)) (not (= (tptp.apply Xh (tptp.apply_to_two_arguments Xf1 _let_2 _let_1)) (tptp.apply_to_two_arguments Xf2 (tptp.apply Xh _let_2) (tptp.apply Xh _let_1)))))))) (forall ((X $$unsorted) (U $$unsorted) (Y $$unsorted) (V $$unsorted)) (or (not (tptp.little_set X)) (not (tptp.little_set U)) (not (= (tptp.ordered_pair X Y) (tptp.ordered_pair U V))) (= X U))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.little_set X)) (not (tptp.little_set Y)) (not (= (tptp.non_ordered_pair Z X) (tptp.non_ordered_pair Z Y))) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.little_set X)) (not (tptp.little_set Y)) (not (tptp.little_set U)) (not (tptp.little_set V)) (not (= (tptp.ordered_pair X Y) (tptp.ordered_pair U V))) (= Y V))) _let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.little_set X)) (not (tptp.little_set Y)) (= (tptp.first (tptp.ordered_pair X Y)) X))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.little_set X)) (not (tptp.little_set Y)) (= (tptp.second (tptp.ordered_pair X Y)) Y))) (forall ((X $$unsorted)) (or (not (tptp.ordered_pair_predicate X)) (tptp.little_set (tptp.first X)))) (forall ((X $$unsorted)) (or (not (tptp.ordered_pair_predicate X)) (tptp.little_set (tptp.second X)))) (forall ((X $$unsorted)) (or (not (tptp.little_set X)) (tptp.member X (tptp.singleton_set X)))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.little_set (tptp.ordered_pair X Y))) (forall ((X $$unsorted)) (or (not (tptp.ordered_pair_predicate X)) (tptp.little_set X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.subset X Y)) (not (tptp.subset Y Z)) (tptp.subset X Z))) _let_6 _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 85.06/85.26 )
% 85.06/85.27 % SZS output end Proof for SET030-3
% 85.06/85.27 % cvc5---1.0.5 exiting
% 85.06/85.28 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------