TSTP Solution File: SEU216+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU216+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 16:30:06 EDT 2023
% Result : Theorem 13.00s 13.20s
% Output : Proof 13.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU216+3 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 17:45:24 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 13.00/13.20 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.zhX7PMsiOb/cvc5---1.0.5_16243.p...
% 13.00/13.20 ------- get file name : TPTP file name is SEU216+3
% 13.00/13.20 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16243.smt2...
% 13.00/13.20 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 13.00/13.20 --- Run --no-e-matching --full-saturate-quant at 5...
% 13.00/13.20 % SZS status Theorem for SEU216+3
% 13.00/13.20 % SZS output start Proof for SEU216+3
% 13.00/13.20 (
% 13.00/13.20 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (tptp.in (tptp.ordered_pair A B) C) (and (tptp.in A (tptp.relation_dom C)) (= B (tptp.apply C A)))))))) (let ((_let_2 (forall ((A $$unsorted)) (let ((_let_1 (tptp.identity_relation A))) (and (= (tptp.relation_dom _let_1) A) (= (tptp.relation_rng _let_1) A)))))) (let ((_let_3 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (= (= B (tptp.identity_relation A)) (and (= (tptp.relation_dom B) A) (forall ((C $$unsorted)) (=> (tptp.in C A) (= (tptp.apply B C) C)))))))))) (let ((_let_4 (tptp.relation tptp.empty_set))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (= C (tptp.apply A B)))) (let ((_let_2 (tptp.in B (tptp.relation_dom A)))) (and (=> _let_2 (= _let_1 (tptp.in (tptp.ordered_pair B C) A))) (=> (not _let_2) (= _let_1 (= C tptp.empty_set))))))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (= (= B (tptp.identity_relation A)) (forall ((C $$unsorted) (D $$unsorted)) (= (tptp.in (tptp.ordered_pair C D) B) (and (tptp.in C A) (= C D))))))))) (let ((_let_8 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_196 _let_8))) (let ((_let_10 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_11 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195 _let_10))) (let ((_let_12 (and _let_11 _let_9))) (let ((_let_13 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_196) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (not _let_12))) (let ((_let_16 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_14))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.function C)) (= (tptp.in (tptp.ordered_pair A B) C) (and (tptp.in A (tptp.relation_dom C)) (= B (tptp.apply C A)))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (= C (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 C)))))) (let ((_let_24 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_10))) (let ((_let_25 (and _let_24 _let_23))) (let ((_let_26 (tptp.identity_relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_26))) (let ((_let_28 (= _let_27 _let_25))) (let ((_let_29 (or _let_19 _let_17 _let_28))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (= (= B (tptp.identity_relation A)) (and (= A (tptp.relation_dom B)) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (= C (tptp.apply B C)))))))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or))) (let ((_let_34 (not _let_30))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_32) :args (_let_34))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_31)) :args _let_33)) _let_32 :args (_let_31 true _let_30)))) (let ((_let_36 (REFL :args (_let_29)))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 1)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_33)) :args ((or _let_16 _let_29))) _let_35 :args (_let_16 true _let_29)))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_33)) :args ((or _let_18 _let_29))) _let_35 :args (_let_18 true _let_29)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_17 _let_14 (not _let_20)))) _let_38 _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_196 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_21))) _let_22 :args (_let_20 false _let_21)) :args (_let_14 false _let_18 false _let_16 false _let_20)))) (let ((_let_40 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_196))) (let ((_let_41 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_42 (and _let_41 _let_40))) (let ((_let_43 (= _let_13 _let_42))) (let ((_let_44 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195 _let_8))) (let ((_let_45 (not _let_41))) (let ((_let_46 (or _let_45 _let_44))) (let ((_let_47 (not _let_13))) (let ((_let_48 (forall ((C $$unsorted) (D $$unsorted)) (= (tptp.in (tptp.ordered_pair C D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) (and (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (= C D)))))) (let ((_let_49 (not _let_43))) (let ((_let_50 (= _let_27 _let_48))) (let ((_let_51 (not _let_48))) (let ((_let_52 (or _let_19 _let_50))) (let ((_let_53 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (= (= B (tptp.identity_relation A)) (forall ((C $$unsorted) (D $$unsorted)) (= (tptp.in (tptp.ordered_pair C D) B) (and (tptp.in C A) (= C D))))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_19 _let_50 (not _let_52)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_50 false _let_18 false _let_52)))) (let ((_let_56 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (tptp.relation_dom _let_26)))) (let ((_let_57 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))) (let ((_let_58 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57))) (let ((_let_61 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_10))) (let ((_let_62 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_63 (= _let_57 _let_62))) (let ((_let_64 (not _let_61))) (let ((_let_65 (or _let_64 _let_63))) (let ((_let_66 (= _let_58 _let_62))) (let ((_let_67 (not _let_27))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 2)) _let_35 :args ((not _let_28) true _let_29)))) (let ((_let_69 (_let_28))) (let ((_let_70 (not _let_50))) (let ((_let_71 (_let_50))) (let ((_let_72 (forall ((BOUND_VARIABLE_1187 $$unsorted)) (= BOUND_VARIABLE_1187 (tptp.relation_dom (tptp.identity_relation BOUND_VARIABLE_1187)))))) (let ((_let_73 (_let_72))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_73) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_73)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args (0)) :args (_let_56 false _let_72)))) (let ((_let_75 (and _let_27 _let_56))) (let ((_let_76 (_let_27 _let_56))) (let ((_let_77 (APPLY_UF tptp.relation_dom))) (let ((_let_78 (ASSUME :args (_let_27)))) (let ((_let_79 (SYMM _let_78))) (let ((_let_80 (ASSUME :args (_let_56)))) (let ((_let_81 (SYMM (SYMM _let_80)))) (let ((_let_82 (not _let_23))) (let ((_let_83 (_let_82))) (let ((_let_84 (and _let_27 _let_56 _let_58))) (let ((_let_85 (ASSUME :args (_let_58)))) (let ((_let_86 (APPLY_UF tptp.in))) (let ((_let_87 (and _let_65 (or (tptp.in tptp.empty_set _let_10) (= tptp.empty_set (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.empty_set)))))) (let ((_let_88 (or _let_19 _let_17 _let_87))) (let ((_let_89 (forall ((A $$unsorted) (BOUND_VARIABLE_1017 $$unsorted) (BOUND_VARIABLE_1015 $$unsorted) (BOUND_VARIABLE_1005 $$unsorted) (BOUND_VARIABLE_1003 $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (or (not (tptp.in BOUND_VARIABLE_1003 _let_1)) (= (= BOUND_VARIABLE_1005 (tptp.apply A BOUND_VARIABLE_1003)) (tptp.in (tptp.ordered_pair BOUND_VARIABLE_1003 BOUND_VARIABLE_1005) A))) (or (tptp.in BOUND_VARIABLE_1015 _let_1) (= (= BOUND_VARIABLE_1017 (tptp.apply A BOUND_VARIABLE_1015)) (= tptp.empty_set BOUND_VARIABLE_1017))))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_48))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_91) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_91))) (REORDERING (CNF_EQUIV_POS1 :args (_let_66)) :args ((or _let_59 _let_62 (not _let_66)))) (REORDERING (CNF_EQUIV_POS2 :args (_let_63)) :args ((or _let_57 (not _let_62) (not _let_63)))) (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_63 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_87 0)) :args ((or _let_65 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_19 _let_17 _let_87 (not _let_88)))) _let_38 _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.empty_set tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_ENUM)) :args (_let_89)))) _let_90 :args (_let_88 false _let_89)) :args (_let_87 false _let_18 false _let_16 false _let_88)) :args (_let_65 false _let_87)) (RESOLUTION (CNF_AND_NEG :args (_let_84)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_85 _let_80 _let_78) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (TRANS (CONG (SYMM _let_79) :args _let_77) (SYMM _let_81)) :args _let_86) (TRUE_INTRO _let_85))) :args (_let_58 _let_56 _let_27))) :args (_let_27 _let_56 _let_58))) :args (true _let_84)) _let_74 (CNF_OR_NEG :args (_let_60 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 0)) (CONG (REFL :args (_let_60)) (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_33)) :args ((or _let_58 _let_60))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_83)) :args _let_83)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_23))) (REFL :args ((not _let_60))) :args _let_33)) (CNF_AND_NEG :args (_let_25)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_75)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_78 _let_80) (SCOPE (TRANS _let_81 (CONG _let_79 :args _let_77)) :args _let_76)) :args _let_76)) :args (true _let_75)) :args ((or _let_24 _let_67 (not _let_56)))) _let_74 (REORDERING (CNF_EQUIV_POS1 :args _let_71) :args ((or _let_67 _let_48 _let_70))) _let_55 (CNF_EQUIV_NEG2 :args _let_69) _let_68 :args (_let_67 true _let_66 true _let_62 false _let_63 false _let_65 false _let_61 false _let_56 true _let_57 false _let_58 true _let_60 true _let_23 false _let_24 false _let_56 false _let_48 false _let_50 true _let_25 true _let_28)))) (let ((_let_93 (_let_51))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_93)) :args _let_93)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_48))) (REFL :args (_let_49)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_71) :args ((or _let_27 _let_51 _let_70))) _let_92 _let_55 :args (_let_51 true _let_27 false _let_50)) :args (_let_49 true _let_48)))) (let ((_let_95 (_let_43))) (let ((_let_96 (not _let_14))) (let ((_let_97 (_let_14))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_69) :args ((or _let_27 _let_25 _let_28))) _let_92 _let_68 :args (_let_25 true _let_27 true _let_28)))) (let ((_let_99 (not _let_25))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 0)) :args ((or _let_24 _let_99))) _let_98 :args (_let_24 false _let_25)))) (let ((_let_101 (and _let_24 _let_11))) (let ((_let_102 (ASSUME :args (_let_11)))) (let ((_let_103 (ASSUME :args (_let_24)))) (let ((_let_104 (SYMM _let_103))) (let ((_let_105 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195)))) (let ((_let_106 (_let_23))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_106) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 1)) :args ((or _let_23 _let_99))) _let_98 :args (_let_23 false _let_25)) :args (_let_46 false _let_23)))) (let ((_let_108 (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_44 (not _let_46)))))) (let ((_let_109 (not _let_44))) (let ((_let_110 (not _let_40))) (let ((_let_111 (and _let_110 _let_9))) (let ((_let_112 (_let_110 _let_9))) (let ((_let_113 (ASSUME :args (_let_110)))) (let ((_let_114 (ASSUME :args (_let_9)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_111)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_113 _let_114) (SCOPE (FALSE_ELIM (TRANS (CONG _let_105 (SYMM _let_114) :args (=)) (FALSE_INTRO _let_113))) :args _let_112)) :args _let_112)) :args (true _let_111)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_40))) (REFL :args ((not _let_9))) (REFL :args (_let_109)) :args _let_33)) _let_108 _let_107 (CNF_AND_NEG :args (_let_42)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_101)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_102 _let_103) (SCOPE (TRUE_ELIM (TRANS (CONG _let_105 (SYMM _let_104) :args _let_86) (TRUE_INTRO _let_102))) :args (_let_11 _let_24))) :args (_let_24 _let_11))) :args (true _let_101)) :args ((or (not _let_24) _let_41 (not _let_11)))) _let_100 (REORDERING (CNF_AND_POS :args (_let_12 1)) :args ((or _let_9 _let_15))) (REORDERING (CNF_AND_POS :args (_let_12 0)) :args ((or _let_11 _let_15))) (REORDERING (CNF_EQUIV_POS1 :args _let_97) :args ((or _let_47 _let_12 _let_96))) _let_39 (CNF_EQUIV_NEG2 :args _let_95) _let_94 :args (_let_47 false _let_44 false _let_46 true _let_40 false _let_41 false _let_24 false _let_9 false _let_11 false _let_12 false _let_14 true _let_42 true _let_43)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_95) :args ((or _let_13 _let_42 _let_43))) _let_115 _let_94 :args (_let_42 true _let_13 true _let_43)))) (let ((_let_117 (not _let_42))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 0)) :args ((or _let_41 _let_117))) _let_116 :args (_let_41 false _let_42)))) (let ((_let_119 (and _let_40 _let_44))) (let ((_let_120 (ASSUME :args (_let_44)))) (let ((_let_121 (ASSUME :args (_let_40)))) (let ((_let_122 (and _let_24 _let_41))) (let ((_let_123 (ASSUME :args (_let_41)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_12)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_122)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_123 _let_103) (SCOPE (TRUE_ELIM (TRANS (CONG _let_105 _let_104 :args _let_86) (TRUE_INTRO _let_123))) :args (_let_41 _let_24))) :args (_let_24 _let_41))) :args (true _let_122)) _let_100 _let_118 :args (_let_11 false _let_24 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_119)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_120 _let_121) (SCOPE (TRANS (SYMM _let_121) (SYMM (SYMM _let_120))) :args (_let_44 _let_40))) :args (_let_40 _let_44))) :args (true _let_119)) :args ((or _let_110 _let_9 _let_109))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 1)) :args ((or _let_40 _let_117))) _let_116 :args (_let_40 false _let_42)) (MACRO_RESOLUTION_TRUST _let_108 _let_118 _let_107 :args (_let_44 false _let_41 false _let_46)) :args (_let_9 false _let_40 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_97) :args ((or _let_13 _let_15 _let_96))) _let_115 _let_39 :args (_let_15 true _let_13 false _let_14)) :args (false false _let_11 false _let_9 true _let_12)) :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 $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) (forall ((A $$unsorted)) (tptp.relation (tptp.identity_relation A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_5 _let_4 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_5 (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.identity_relation A))) (and (tptp.relation _let_1) (tptp.function _let_1)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.unordered_pair A B)))) (and _let_5 _let_4) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_rng A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) _let_2 (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_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 13.00/13.21 )
% 13.00/13.21 % SZS output end Proof for SEU216+3
% 13.00/13.21 % cvc5---1.0.5 exiting
% 13.00/13.21 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------