TSTP Solution File: SEU249+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU249+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 16:30:24 EDT 2023
% Result : Theorem 30.22s 30.46s
% Output : Proof 30.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SEU249+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n024.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 23 13:23:25 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.53 %----Proving TF0_NAR, FOF, or CNF
% 30.22/30.46 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.YCtFXhG8vV/cvc5---1.0.5_22736.p...
% 30.22/30.46 ------- get file name : TPTP file name is SEU249+1
% 30.22/30.46 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22736.smt2...
% 30.22/30.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 30.22/30.46 --- Run --no-e-matching --full-saturate-quant at 5...
% 30.22/30.46 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 30.22/30.46 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 30.22/30.46 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.22/30.46 % SZS status Theorem for SEU249+1
% 30.22/30.46 % SZS output start Proof for SEU249+1
% 30.22/30.46 (
% 30.22/30.46 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (tptp.subset (tptp.relation_rng (tptp.relation_dom_restriction B A)) (tptp.relation_rng B)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (= (tptp.relation_dom (tptp.relation_dom_restriction B A)) (tptp.set_intersection2 (tptp.relation_dom B) A)))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)))) (let ((_let_9 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation C) (=> (tptp.in A (tptp.relation_field (tptp.relation_restriction C B))) (and (tptp.in A (tptp.relation_field C)) (tptp.in A B)))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (= (tptp.relation_restriction B A) (tptp.relation_rng_restriction A (tptp.relation_dom_restriction B A))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (= (tptp.relation_restriction B A) (tptp.relation_dom_restriction (tptp.relation_rng_restriction A B) A)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (= (tptp.relation_rng (tptp.relation_rng_restriction A B)) (tptp.set_intersection2 (tptp.relation_rng B) A)))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (tptp.subset (tptp.relation_dom (tptp.relation_rng_restriction A B)) (tptp.relation_dom B)))))) (let ((_let_14 (tptp.empty tptp.empty_set))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (tptp.relation (tptp.relation_rng_restriction A B)))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_dom_restriction A B)))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_restriction A B)))))) (let ((_let_18 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.relation_field A) (tptp.set_union2 (tptp.relation_dom A) (tptp.relation_rng A))))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_union2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (tptp.in D A) (tptp.in D B)))))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))))) (let ((_let_22 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_23 (tptp.set_intersection2 _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_24 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_25 (tptp.relation_dom _let_24))) (let ((_let_26 (= _let_25 _let_23))) (let ((_let_27 (= _let_23 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_22)))) (let ((_let_28 (= tptp.empty_set (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set)))) (let ((_let_29 (= tptp.empty_set _let_25))) (let ((_let_30 (= tptp.empty_set _let_22))) (let ((_let_31 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_26))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (= (tptp.relation_dom (tptp.relation_dom_restriction B A)) (tptp.set_intersection2 (tptp.relation_dom B) A)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 ((tptp.relation_dom_restriction B A)))) (let ((_let_38 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_39 (tptp.relation_field SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_40 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_39))) (let ((_let_41 (and _let_40 _let_38))) (let ((_let_42 (tptp.relation_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_43 (tptp.relation_field _let_42))) (let ((_let_44 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_43))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_32 _let_45 _let_41))) (let ((_let_47 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.in A (tptp.relation_field (tptp.relation_restriction C B)))) (and (tptp.in A (tptp.relation_field C)) (tptp.in A B)))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (or))) (let ((_let_51 (not _let_47))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_49) :args (_let_51))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_47))) (REFL :args (_let_48)) :args _let_50)) _let_49 :args (_let_48 true _let_47)))) (let ((_let_53 (REFL :args (_let_46)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_50)) :args ((or _let_31 _let_46))) _let_52 :args (_let_31 true _let_46)))) (let ((_let_55 (_let_21))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((tptp.set_intersection2 A B)))) (let ((_let_58 (forall ((A $$unsorted)) (= tptp.empty_set (tptp.set_intersection2 A tptp.empty_set))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (tptp.powerset tptp.empty_set))) (let ((_let_61 (tptp.relation_dom _let_42))) (let ((_let_62 (tptp.element _let_61 _let_60))) (let ((_let_63 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_24))) (let ((_let_64 (tptp.relation_dom _let_63))) (let ((_let_65 (tptp.element _let_64 (tptp.powerset _let_25)))) (let ((_let_66 (= _let_42 _let_63))) (let ((_let_67 (not _let_29))) (let ((_let_68 (not _let_14))) (let ((_let_69 (not _let_62))) (let ((_let_70 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_61))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69 _let_68))) (let ((_let_73 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in A B)) (not (tptp.element B (tptp.powerset C))) (not (tptp.empty C)))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 (tptp.relation_rng _let_42))) (let ((_let_77 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_76))) (let ((_let_78 (or _let_70 _let_77))) (let ((_let_79 (tptp.set_union2 _let_61 _let_76))) (let ((_let_80 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_79))) (let ((_let_81 (= _let_80 _let_78))) (let ((_let_82 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_2 (tptp.relation_rng _let_1))) (let ((_let_3 (tptp.relation_dom _let_1))) (= (tptp.in D (tptp.set_union2 _let_3 _let_2)) (or (tptp.in D _let_3) (tptp.in D _let_2))))))))) (let ((_let_83 (_let_20))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (_let_82))) (let ((_let_86 (= _let_43 _let_79))) (let ((_let_87 (tptp.relation _let_42))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86))) (let ((_let_90 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.relation_field A) (tptp.set_union2 (tptp.relation_dom A) (tptp.relation_rng A))))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 (or _let_32 _let_87))) (let ((_let_94 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (tptp.relation (tptp.relation_restriction A B)))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (and _let_44 _let_86))) (let ((_let_97 (_let_44 _let_86))) (let ((_let_98 (ASSUME :args (_let_44)))) (let ((_let_99 (APPLY_UF tptp.in))) (let ((_let_100 (ASSUME :args (_let_86)))) (let ((_let_101 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_81)) :args ((or _let_78 (not _let_80) (not _let_81)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_96)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_100) (SCOPE (TRUE_ELIM (TRANS (CONG _let_101 (SYMM _let_100) :args _let_99) (TRUE_INTRO _let_98))) :args _let_97)) :args _let_97)) :args (true _let_96)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 1)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_50)) :args ((or _let_44 _let_46))) _let_52 :args (_let_44 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_86 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_32 _let_87 (not _let_93)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_restriction A B)))) :args (_let_94))) _let_95 :args (_let_93 false _let_94)) :args (_let_87 false _let_31 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_field A)))) :args _let_92)) _let_91 :args (_let_89 false _let_90)) :args (_let_86 false _let_87 false _let_89)) :args (_let_80 false _let_44 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_85) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D _let_79)))) :args _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_61 _let_76 _let_79 QUANTIFIERS_INST_CBQI_PROP)) :args _let_83))) _let_84 :args (_let_82 false _let_20)) :args (_let_81 false _let_82)) :args (_let_78 false _let_80 false _let_81)))) (let ((_let_103 (tptp.relation_rng _let_24))) (let ((_let_104 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_103))) (let ((_let_105 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_104))) (let ((_let_106 (tptp.set_intersection2 _let_103 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_107 (= _let_106 _let_104))) (let ((_let_108 (= (tptp.relation_rng _let_63) _let_106))) (let ((_let_109 (not _let_77))) (let ((_let_110 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_103))) (let ((_let_111 (and _let_38 _let_110))) (let ((_let_112 (= _let_105 _let_111))) (let ((_let_113 (not _let_105))) (let ((_let_114 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_rng (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (= (tptp.in D (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_1)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.in D _let_1))))))) (let ((_let_115 (_let_19))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 (_let_114))) (let ((_let_118 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_117) :args _let_118) :args _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_116 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_103 _let_104 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115))) _let_116 :args (_let_114 false _let_19)) :args (_let_112 false _let_114)))) (let ((_let_120 (not _let_111))) (let ((_let_121 (tptp.element _let_103 _let_60))) (let ((_let_122 (not _let_121))) (let ((_let_123 (not _let_110))) (let ((_let_124 (or _let_123 _let_122 _let_68))) (let ((_let_125 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_126 (tptp.element _let_103 (tptp.powerset _let_125)))) (let ((_let_127 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_125))) (let ((_let_128 (not _let_126))) (let ((_let_129 (or _let_123 _let_128 _let_127))) (let ((_let_130 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_125))) (let ((_let_131 (tptp.empty _let_125))) (let ((_let_132 (not _let_127))) (let ((_let_133 (or _let_132 _let_131 _let_130))) (let ((_let_134 (= tptp.empty_set _let_125))) (let ((_let_135 (not _let_131))) (let ((_let_136 (or _let_135 _let_134))) (let ((_let_137 (ASSUME :args (_let_14)))) (let ((_let_138 (tptp.subset _let_103 _let_125))) (let ((_let_139 (= _let_138 _let_126))) (let ((_let_140 (_let_6))) (let ((_let_141 (ASSUME :args _let_140))) (let ((_let_142 ((tptp.subset A B)))) (let ((_let_143 (or _let_32 _let_138))) (let ((_let_144 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (tptp.subset (tptp.relation_rng (tptp.relation_dom_restriction B A)) (tptp.relation_rng B)))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_139)) :args ((or (not _let_138) _let_126 (not _let_139)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_32 _let_138 (not _let_143)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_dom_restriction B A)))) :args (_let_144))) _let_145 :args (_let_143 false _let_144)) :args (_let_138 false _let_31 false _let_143)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_103 _let_125 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_142)) :args _let_140))) _let_141 :args (_let_139 false _let_6)) :args (_let_126 false _let_138 false _let_139)))) (let ((_let_147 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in A B)) (not (tptp.element B (tptp.powerset C))) (tptp.element A C))))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_149 (_let_147))) (let ((_let_150 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_22))) (let ((_let_151 (or _let_150 _let_130))) (let ((_let_152 (not _let_130))) (let ((_let_153 (tptp.set_union2 _let_22 _let_125))) (let ((_let_154 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_153))) (let ((_let_155 (= _let_154 _let_151))) (let ((_let_156 (not _let_151))) (let ((_let_157 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_2 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (= (tptp.in D (tptp.set_union2 _let_2 _let_1)) (or (tptp.in D _let_2) (tptp.in D _let_1)))))))) (let ((_let_158 (_let_157))) (let ((_let_159 (= _let_39 _let_153))) (let ((_let_160 (not _let_154))) (let ((_let_161 (or _let_32 _let_159))) (let ((_let_162 (not _let_40))) (let ((_let_163 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_164 (tptp.relation_dom _let_163))) (let ((_let_165 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_164))) (let ((_let_166 (and _let_38 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((_let_273 (ASSUME :args (_let_26)))) (let ((_let_274 (ASSUME :args (_let_27)))) (let ((_let_275 (ASSUME :args (_let_30)))) (let ((_let_276 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_272)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_273 _let_274 _let_275 _let_276) (SCOPE (TRANS (SYMM (SYMM _let_276)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (SYMM (SYMM _let_275)) :args (APPLY_UF tptp.set_intersection2)) (SYMM _let_274) (SYMM _let_273)) :args (_let_26 _let_27 _let_30 _let_28))) :args (_let_26 _let_30 _let_27 _let_28))) :args (true _let_272)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_261)) :args ((or _let_260 _let_30 (not _let_261)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_264)) :args ((or _let_259 _let_263 _let_150 (not _let_264)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_268)) :args ((or _let_266 _let_267 _let_262 (not _let_268)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_270)) :args ((or (not _let_269) _let_265 (not _let_270)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_271)) :args ((or _let_32 _let_269 (not _let_271)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_271 false _let_252)) :args (_let_269 false _let_31 false _let_271)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_164 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_142)) :args _let_140))) _let_141 :args (_let_270 false _let_6)) :args (_let_265 false _let_269 false _let_270)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_166 1)) :args ((or _let_165 _let_175))) (MACRO_RESOLUTION_TRUST _let_181 (MACRO_RESOLUTION_TRUST _let_229 _let_211 _let_218 _let_219 _let_248 :args (_let_168 false _let_171 false _let_173 false _let_174 false _let_70)) _let_179 :args (_let_166 false _let_168 false _let_169)) :args (_let_165 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_164 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_149)) _let_148 :args (_let_268 false _let_147)) :args (_let_262 false _let_265 false _let_165 false _let_268)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_151 0)) _let_235 :args ((not _let_150) true _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_237 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_238)) _let_237 :args (_let_264 false _let_236)) :args (_let_259 false _let_262 true _let_150 false _let_264)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_240 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_242)) :args _let_241)) _let_240 :args (_let_261 false _let_239)) :args (_let_30 false _let_259 false _let_261)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_256 _let_205 _let_257 _let_258) :args (_let_66 _let_65 _let_29 _let_69)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_258)) (CONG (CONG _let_206 :args _let_227) (CONG (SYMM _let_257) :args _let_245) :args _let_244) (FALSE_INTRO _let_256))) :args (_let_69 _let_66 _let_29 _let_65)) :args ((not (and _let_66 _let_65 _let_29 _let_69)) SB_LITERAL))) (CONG _let_200 (REFL :args ((not _let_65))) (REFL :args (_let_67)) (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_62))) :args _let_50)) _let_185 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_250)) :args ((or (not _let_249) _let_65 (not _let_250)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_251)) :args ((or _let_187 _let_249 (not _let_251)))) _let_194 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_251 false _let_252)) :args (_let_249 false _let_186 false _let_251)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_64 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_142)) :args _let_140))) _let_141 :args (_let_250 false _let_6)) :args (_let_65 false _let_249 false _let_250)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_68 _let_71 _let_69 (not _let_72)))) _let_137 _let_248 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_61 tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_75)) _let_74 :args (_let_72 false _let_73)) :args (_let_69 false _let_14 false _let_70 false _let_72)) :args (_let_67 false _let_66 false _let_65 true _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_58))) _let_59 :args (_let_28 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_27 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_26 (not _let_33)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36)) _let_35 :args (_let_33 false _let_34)) :args (_let_26 false _let_31 false _let_33)) :args (false false _let_30 true _let_29 false _let_28 false _let_27 false _let_26)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) _let_21 _let_20 _let_19 _let_18 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (tptp.relation_restriction A B) (tptp.set_intersection2 A (tptp.cartesian_product2 B B)))))) true true true true _let_17 true true true true _let_16 _let_15 true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) _let_14 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (=> (and (tptp.relation A) (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction A B))) (=> (and (tptp.relation B) (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) _let_13 (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.29/30.47 )
% 30.29/30.47 % SZS output end Proof for SEU249+1
% 30.29/30.47 % cvc5---1.0.5 exiting
% 30.29/30.47 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------