TSTP Solution File: SET258-6 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET258-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 14:38:23 EDT 2023
% Result : Unsatisfiable 73.56s 73.99s
% Output : Proof 73.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET258-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 14:56:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.47 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ElDyWA48lA/cvc5---1.0.5_29470.p...
% 0.20/0.49 ------- get file name : TPTP file name is SET258-6
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29470.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.49/10.74 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.52/15.81 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.59/20.86 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.68/25.93 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.75/31.01 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.79/36.14 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.95/41.25 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.13/46.47 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.27/51.58 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.28/56.64 --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.36/61.70 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.47/66.80 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 73.56/73.99 % SZS status Unsatisfiable for SET258-6
% 73.56/73.99 % SZS output start Proof for SET258-6
% 73.65/74.00 (
% 73.65/74.00 (let ((_let_1 (tptp.cross_product tptp.universal_class tptp.universal_class))) (let ((_let_2 (tptp.range tptp.xr tptp.x tptp.universal_class))) (let ((_let_3 (tptp.member (tptp.ordered_pair tptp.x _let_2) _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.domain_of tptp.xr))) (let ((_let_6 (tptp.member tptp.x _let_5))) (let ((_let_7 (tptp.cross_product tptp.universal_class _let_1))) (let ((_let_8 (forall ((Y $$unsorted)) (or (not (tptp.member Y tptp.universal_class)) (= Y tptp.null_class) (tptp.member (tptp.apply tptp.choice Y) Y))))) (let ((_let_9 (forall ((Z $$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))))) (let ((_let_10 (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))))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Xr $$unsorted)) (= (tptp.intersection (tptp.cross_product X Y) Xr) (tptp.restrict Xr X Y))))) (let ((_let_12 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.intersection X Y))) (tptp.member Z X))))) (let ((_let_13 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.cross_product X Y))) (= (tptp.ordered_pair (tptp.first Z) (tptp.second Z)) Z))))) (let ((_let_14 (forall ((U $$unsorted) (X $$unsorted) (V $$unsorted) (Y $$unsorted)) (or (not (tptp.member U X)) (not (tptp.member V Y)) (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y)))))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y))) (tptp.member V Y))))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.unordered_pair X X) (tptp.singleton X))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member (tptp.unordered_pair X Y) tptp.universal_class)))) (let ((_let_18 (forall ((U $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member U (tptp.unordered_pair X Y))) (= U X) (= U Y))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.subclass X Y)) (not (tptp.subclass Y X)) (= X Y))))) (let ((_let_20 (forall ((X $$unsorted)) (tptp.subclass X tptp.universal_class)))) (let ((_let_21 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.member (tptp.not_subclass_element X Y) X) (tptp.subclass X Y))))) (let ((_let_22 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted)) (or (not (tptp.subclass X Y)) (not (tptp.member U X)) (tptp.member U Y))))) (let ((_let_23 (tptp.singleton _let_2))) (let ((_let_24 (tptp.member _let_2 _let_23))) (let ((_let_25 (= tptp.null_class _let_23))) (let ((_let_26 (tptp.singleton tptp.x))) (let ((_let_27 (tptp.restrict tptp.xr _let_26 tptp.universal_class))) (let ((_let_28 (tptp.not_subclass_element tptp.null_class _let_27))) (let ((_let_29 (tptp.member _let_28 tptp.null_class))) (let ((_let_30 (= _let_2 _let_28))) (let ((_let_31 (tptp.member _let_2 tptp.universal_class))) (let ((_let_32 (not _let_24))) (let ((_let_33 (tptp.subclass _let_23 tptp.universal_class))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_31))) (let ((_let_36 (_let_22))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((not (= (tptp.member U Y) true)) (not (= (tptp.member U X) false))))) (let ((_let_39 (_let_20))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (not _let_31))) (let ((_let_42 (tptp.member tptp.x tptp.universal_class))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41 _let_3))) (let ((_let_45 (_let_14))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (not _let_6))) (let ((_let_48 (tptp.subclass _let_5 tptp.universal_class))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47 _let_42))) (let ((_let_51 (ASSUME :args (_let_6)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_3 _let_43 _let_41 (not _let_44)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_47 _let_42 _let_49 (not _let_50)))) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) _let_40 :args (_let_48 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_5 tptp.universal_class tptp.x QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_50 false _let_22)) :args (_let_42 false _let_6 false _let_48 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.x tptp.universal_class _let_2 tptp.universal_class QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y)) true))))) :args _let_45)) _let_46 :args (_let_44 false _let_14)) :args (_let_41 true _let_3 false _let_42 false _let_44)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_31 _let_34 _let_32 (not _let_35)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) _let_40 :args (_let_33 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_23 tptp.universal_class _let_2 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_35 false _let_22)) :args (_let_32 true _let_31 false _let_33 false _let_35)))) (let ((_let_54 (tptp.apply tptp.choice _let_23))) (let ((_let_55 (tptp.member _let_54 _let_23))) (let ((_let_56 (tptp.member _let_23 tptp.universal_class))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_25 _let_55))) (let ((_let_59 (forall ((Y $$unsorted)) (or (not (tptp.member Y tptp.universal_class)) (= tptp.null_class Y) (tptp.member (tptp.apply tptp.choice Y) Y))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (tptp.unordered_pair _let_2 _let_2))) (let ((_let_62 (= _let_23 _let_61))) (let ((_let_63 (tptp.member _let_54 _let_61))) (let ((_let_64 (= _let_2 _let_54))) (let ((_let_65 (not _let_63))) (let ((_let_66 (or _let_65 _let_64 _let_64))) (let ((_let_67 (not _let_55))) (let ((_let_68 (_let_16))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.singleton X)))) :args _let_68))) _let_69 :args (_let_62 false _let_16)))) (let ((_let_71 (and _let_62 _let_55))) (let ((_let_72 (ASSUME :args (_let_55)))) (let ((_let_73 (TRUE_INTRO _let_72))) (let ((_let_74 (APPLY_UF tptp.member))) (let ((_let_75 (ASSUME :args (_let_62)))) (let ((_let_76 (SYMM _let_75))) (let ((_let_77 (REFL :args (_let_54)))) (let ((_let_78 (_let_18))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (or))) (let ((_let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_24))))) (let ((_let_82 (not _let_62))) (let ((_let_83 (ASSUME :args (_let_32)))) (let ((_let_84 (FALSE_INTRO _let_83))) (let ((_let_85 (ASSUME :args (_let_64)))) (let ((_let_86 (tptp.member _let_61 tptp.universal_class))) (let ((_let_87 (_let_17))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (and _let_62 _let_86))) (let ((_let_90 (ASSUME :args (_let_86)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_25 _let_55 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_90 _let_75) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_76) (REFL :args (tptp.universal_class)) :args _let_74) (TRUE_INTRO _let_90))) :args (_let_86 _let_62))) :args (_let_62 _let_86))) :args (true _let_89)) :args ((or _let_56 _let_82 (not _let_86)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_2 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_87)) _let_88 :args (_let_86 false _let_17)) :args (_let_56 false _let_62 false _let_86)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_83 _let_85 _let_75 _let_72) :args (_let_62 _let_55 _let_64 _let_32)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_73) (CONG _let_77 _let_75 :args _let_74) (CONG (SYMM _let_85) _let_76 :args _let_74) _let_84)) :args (_let_32 _let_64 _let_62 _let_55)) :args ((not (and _let_62 _let_55 _let_64 _let_32)) SB_LITERAL))) (CONG (REFL :args (_let_82)) (REFL :args (_let_67)) (REFL :args ((not _let_64))) _let_81 :args _let_80)) _let_53 _let_70 (REORDERING (FACTORING (CNF_OR_POS :args (_let_66))) :args ((or _let_65 _let_64 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_54 _let_2 _let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_78))) _let_79 :args (_let_66 false _let_18)) (RESOLUTION (CNF_AND_NEG :args (_let_71)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_75) (SCOPE (TRUE_ELIM (TRANS (CONG _let_77 _let_76 :args _let_74) _let_73)) :args (_let_55 _let_62))) :args (_let_62 _let_55))) :args (true _let_71)) _let_70 :args (_let_67 true _let_24 false _let_62 false _let_64 false _let_66 false _let_63 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member Y tptp.universal_class) false))))) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_25 false _let_56 true _let_55 false _let_58)))) (let ((_let_92 (tptp.subclass tptp.null_class _let_27))) (let ((_let_93 (or _let_29 _let_92))) (let ((_let_94 (_let_21))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (= tptp.null_class _let_27))) (let ((_let_97 (not _let_92))) (let ((_let_98 (tptp.subclass _let_27 tptp.null_class))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97 _let_96))) (let ((_let_101 (_let_19))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (tptp.not_subclass_element _let_27 tptp.null_class))) (let ((_let_104 (tptp.member _let_103 _let_27))) (let ((_let_105 (or _let_104 _let_98))) (let ((_let_106 (tptp.cross_product _let_26 tptp.universal_class))) (let ((_let_107 (tptp.intersection _let_106 tptp.xr))) (let ((_let_108 (tptp.member _let_103 _let_107))) (let ((_let_109 (= _let_27 _let_107))) (let ((_let_110 (not _let_104))) (let ((_let_111 (tptp.member _let_103 _let_106))) (let ((_let_112 (not _let_108))) (let ((_let_113 (or _let_112 _let_111))) (let ((_let_114 (_let_12))) (let ((_let_115 (ASSUME :args _let_114))) (let ((_let_116 (tptp.second _let_103))) (let ((_let_117 (tptp.first _let_103))) (let ((_let_118 (= _let_103 (tptp.ordered_pair _let_117 _let_116)))) (let ((_let_119 (not _let_111))) (let ((_let_120 (or _let_119 _let_118))) (let ((_let_121 (= _let_2 _let_116))) (let ((_let_122 (tptp.member (tptp.ordered_pair _let_117 _let_2) _let_106))) (let ((_let_123 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.cross_product X Y))) (= Z (tptp.ordered_pair (tptp.first Z) (tptp.second Z))))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_9))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 (not _let_122))) (let ((_let_128 (or _let_127 _let_31))) (let ((_let_129 (_let_15))) (let ((_let_130 (ASSUME :args _let_129))) (let ((_let_131 (ASSUME :args (_let_111)))) (let ((_let_132 (ASSUME :args (_let_118)))) (let ((_let_133 (ASSUME :args (_let_121)))) (let ((_let_134 (ASSUME :args (_let_127)))) (let ((_let_135 (_let_11))) (let ((_let_136 (ASSUME :args _let_135))) (let ((_let_137 (not _let_109))) (let ((_let_138 (and _let_109 _let_112))) (let ((_let_139 (ASSUME :args (_let_112)))) (let ((_let_140 (ASSUME :args (_let_109)))) (let ((_let_141 (not _let_96))) (let ((_let_142 (or _let_141 _let_47))) (let ((_let_143 (forall ((X $$unsorted) (Z $$unsorted)) (or (not (= tptp.null_class (tptp.restrict X (tptp.singleton Z) tptp.universal_class))) (not (tptp.member Z (tptp.domain_of X))))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_92 _let_29 (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_96 _let_99 _let_97 (not _let_100)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_47 _let_141 (not _let_142)))) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (tptp.xr tptp.x QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member Z (tptp.domain_of X)) false))))) :args (_let_143))) _let_144 :args (_let_142 false _let_143)) :args (_let_141 false _let_6 false _let_142)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_104 _let_98 (not _let_105)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_138)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_139 _let_140) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_103)) (SYMM (SYMM _let_140)) :args _let_74) (FALSE_INTRO _let_139))) :args (_let_112 _let_109))) :args (_let_109 _let_112))) :args (true _let_138)) (CONG (REFL :args (_let_137)) (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_108))) (REFL :args (_let_110)) :args _let_80)) :args ((or _let_110 _let_137 _let_108))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_136 :args (_let_26 tptp.universal_class tptp.xr QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.restrict Xr X Y)))) :args _let_135))) _let_136 :args (_let_109 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_112 _let_111 (not _let_113)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_131 _let_132 _let_133 _let_134) :args (_let_121 _let_111 _let_118 _let_127)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_134)) (CONG (TRANS (CONG (REFL :args (_let_117)) (SYMM (SYMM _let_133)) :args (APPLY_UF tptp.ordered_pair)) (SYMM _let_132)) (REFL :args (_let_106)) :args _let_74) (TRUE_INTRO _let_131))) :args (_let_111 _let_118 _let_121 _let_127)) :args ((not (and _let_121 _let_111 _let_118 _let_127)) SB_LITERAL))) (CONG (REFL :args ((not _let_121))) (REFL :args (_let_119)) (REFL :args ((not _let_118))) (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_122))) :args _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_31 _let_127 (not _let_128)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_117 _let_2 _let_26 tptp.universal_class QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_129)) _let_130 :args (_let_128 false _let_15)) :args (_let_127 true _let_31 false _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.xr tptp.x tptp.universal_class QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.range Z X Y)))) :args _let_125))) _let_126 :args (_let_121 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_119 _let_118 (not _let_120)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_103 _let_26 tptp.universal_class QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member Z (tptp.cross_product X Y)) false))))) :args (_let_123))) _let_124 :args (_let_120 false _let_123)) :args (_let_119 true _let_122 false _let_121 false _let_118 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_103 _let_106 tptp.xr QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member Z (tptp.intersection X Y)) false))))) :args _let_114)) _let_115 :args (_let_113 false _let_12)) :args (_let_112 true _let_111 false _let_113)) :args (_let_110 false _let_109 true _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_27 tptp.null_class QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.not_subclass_element X Y)))) :args _let_94)) _let_95 :args (_let_105 false _let_21)) :args (_let_98 true _let_104 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_27 tptp.null_class QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subclass X Y) false))))) :args _let_101))) _let_102 :args (_let_100 false _let_19)) :args (_let_97 true _let_96 false _let_98 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.null_class _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subclass X Y) true))))) :args _let_94)) _let_95 :args (_let_93 false _let_21)) :args (_let_29 true _let_92 false _let_93)))) (let ((_let_146 (tptp.member _let_28 _let_61))) (let ((_let_147 (not _let_146))) (let ((_let_148 (or _let_147 _let_30 _let_30))) (let ((_let_149 (and _let_62 _let_25 _let_29))) (let ((_let_150 (ASSUME :args (_let_29)))) (let ((_let_151 (TRUE_INTRO _let_150))) (let ((_let_152 (ASSUME :args (_let_25)))) (let ((_let_153 (SYMM (SYMM _let_152)))) (let ((_let_154 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_83 _let_154 _let_152 _let_150) :args (_let_25 _let_32 _let_29 _let_30)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_151) (CONG (SYMM _let_154) _let_153 :args _let_74) _let_84)) :args (_let_32 _let_30 _let_25 _let_29)) :args ((not (and _let_25 _let_32 _let_29 _let_30)) SB_LITERAL))) (CONG (REFL :args ((not _let_25))) _let_81 (REFL :args ((not _let_29))) (REFL :args ((not _let_30))) :args _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_148))) :args ((or _let_147 _let_30 (not _let_148)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_149)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_150 _let_152 _let_75) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_28)) (TRANS _let_76 (SYMM _let_153)) :args _let_74) _let_151)) :args (_let_29 _let_25 _let_62))) :args (_let_62 _let_25 _let_29))) :args (true _let_149)) _let_70 _let_91 _let_145 :args (_let_146 false _let_62 false _let_25 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_28 _let_2 _let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_78))) _let_79 :args (_let_148 false _let_18)) :args (_let_30 false _let_146 false _let_148)) _let_145 _let_91 _let_53 :args (false false _let_30 false _let_29 false _let_25 true _let_24)) :args (_let_22 _let_21 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.not_subclass_element X Y) Y)) (tptp.subclass X Y))) _let_20 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.subclass X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.subclass Y X))) _let_19 _let_18 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X tptp.universal_class)) (tptp.member X (tptp.unordered_pair X Y)))) (forall ((Y $$unsorted) (X $$unsorted)) (or (not (tptp.member Y tptp.universal_class)) (tptp.member Y (tptp.unordered_pair X Y)))) _let_17 _let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.unordered_pair (tptp.singleton X) (tptp.unordered_pair X (tptp.singleton Y))) (tptp.ordered_pair X Y))) (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y))) (tptp.member U X))) _let_15 _let_14 _let_13 (tptp.subclass tptp.element_relation _let_1) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X Y) tptp.element_relation)) (tptp.member X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.ordered_pair X Y))) (or (not (tptp.member _let_1 (tptp.cross_product tptp.universal_class tptp.universal_class))) (not (tptp.member X Y)) (tptp.member _let_1 tptp.element_relation)))) _let_12 (forall ((Z $$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))) _let_11 _let_10 (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 $$unsorted)) (= (tptp.first (tptp.not_subclass_element (tptp.restrict Z X (tptp.singleton Y)) tptp.null_class)) (tptp.domain Z X Y))) _let_9 (forall ((Xr $$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_1) (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 $$unsorted)) (= (tptp.sum_class (tptp.image Xf (tptp.singleton Y))) (tptp.apply Xf Y))) (tptp.function tptp.choice) _let_8 (forall ((Xf $$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_1 (tptp.intersection _let_1 (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))))) (forall ((X $$unsorted)) (tptp.subclass (tptp.compose_class X) (tptp.cross_product tptp.universal_class tptp.universal_class))) (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (or (not (tptp.member (tptp.ordered_pair Y Z) (tptp.compose_class X))) (= (tptp.compose X Y) Z))) (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.ordered_pair Y Z))) (or (not (tptp.member _let_1 (tptp.cross_product tptp.universal_class tptp.universal_class))) (not (= (tptp.compose X Y) Z)) (tptp.member _let_1 (tptp.compose_class X))))) (tptp.subclass tptp.composition_function _let_7) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X (tptp.ordered_pair Y Z)) tptp.composition_function)) (= (tptp.compose X Y) Z))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X Y) (tptp.cross_product tptp.universal_class tptp.universal_class))) (tptp.member (tptp.ordered_pair X (tptp.ordered_pair Y (tptp.compose X Y))) tptp.composition_function))) (tptp.subclass tptp.domain_relation _let_1) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X Y) tptp.domain_relation)) (= (tptp.domain_of X) Y))) (forall ((X $$unsorted)) (or (not (tptp.member X tptp.universal_class)) (tptp.member (tptp.ordered_pair X (tptp.domain_of X)) tptp.domain_relation))) (forall ((X $$unsorted)) (= (tptp.first (tptp.not_subclass_element (tptp.compose X (tptp.inverse X)) tptp.identity_relation)) (tptp.single_valued1 X))) (forall ((X $$unsorted)) (= (tptp.second (tptp.not_subclass_element (tptp.compose X (tptp.inverse X)) tptp.identity_relation)) (tptp.single_valued2 X))) (forall ((X $$unsorted)) (= (tptp.domain X (tptp.image (tptp.inverse X) (tptp.singleton (tptp.single_valued1 X))) (tptp.single_valued2 X)) (tptp.single_valued3 X))) (= (tptp.intersection (tptp.complement (tptp.compose tptp.element_relation (tptp.complement tptp.identity_relation))) tptp.element_relation) tptp.singleton_relation) (tptp.subclass tptp.application_function _let_7) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X (tptp.ordered_pair Y Z)) tptp.application_function)) (tptp.member Y (tptp.domain_of X)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X (tptp.ordered_pair Y Z)) tptp.application_function)) (= (tptp.apply X Y) Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X (tptp.ordered_pair Y Z)) (tptp.cross_product tptp.universal_class (tptp.cross_product tptp.universal_class tptp.universal_class)))) (not (tptp.member Y (tptp.domain_of X))) (tptp.member (tptp.ordered_pair X (tptp.ordered_pair Y (tptp.apply X Y))) tptp.application_function))) (forall ((Xf $$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.subclass (tptp.range_of Xf) Y))) (forall ((Xf $$unsorted) (Y $$unsorted)) (or (not (tptp.function Xf)) (not (tptp.subclass (tptp.range_of Xf) Y)) (tptp.maps Xf (tptp.domain_of Xf) Y))) _let_6 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 73.65/74.00 )
% 73.67/74.00 % SZS output end Proof for SET258-6
% 73.67/74.01 % cvc5---1.0.5 exiting
% 73.67/74.01 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------