TSTP Solution File: SET662+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET662+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 14:39:48 EDT 2023
% Result : Theorem 46.35s 46.57s
% Output : Proof 46.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET662+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n013.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 10:26:17 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 46.35/46.57 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lcsZoab1nN/cvc5---1.0.5_20944.p...
% 46.35/46.57 ------- get file name : TPTP file name is SET662+3
% 46.35/46.57 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20944.smt2...
% 46.35/46.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 46.35/46.57 --- Run --no-e-matching --full-saturate-quant at 5...
% 46.35/46.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 46.35/46.57 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 46.35/46.57 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 46.35/46.57 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 46.35/46.57 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 46.35/46.57 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.35/46.57 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 46.35/46.57 % SZS status Theorem for SET662+3
% 46.35/46.57 % SZS output start Proof for SET662+3
% 46.35/46.57 (
% 46.35/46.57 (let ((_let_1 (not (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (tptp.ilf_type tptp.empty_set (tptp.relation_type B C))))))))) (let ((_let_2 (forall ((B $$unsorted)) (tptp.ilf_type B tptp.set_type)))) (let ((_let_3 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (and (not (tptp.empty C)) (tptp.ilf_type C tptp.set_type)) (= (tptp.ilf_type B (tptp.member_type C)) (tptp.member B C)))))))) (let ((_let_4 (forall ((B $$unsorted)) (let ((_let_1 (tptp.power_set B))) (=> (tptp.ilf_type B tptp.set_type) (and (not (tptp.empty _let_1)) (tptp.ilf_type _let_1 tptp.set_type))))))) (let ((_let_5 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (= (tptp.member B (tptp.power_set C)) (forall ((D $$unsorted)) (=> (tptp.ilf_type D tptp.set_type) (=> (tptp.member D B) (tptp.member D C))))))))))) (let ((_let_6 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.ilf_type D tptp.set_type) (=> (tptp.member D B) (tptp.member D C))))))))))) (let ((_let_7 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (= (tptp.ilf_type C (tptp.subset_type B)) (tptp.ilf_type C (tptp.member_type (tptp.power_set B)))))))))) (let ((_let_8 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (tptp.ilf_type (tptp.cross_product B C) tptp.set_type))))))) (let ((_let_9 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (and (forall ((D $$unsorted)) (=> (tptp.ilf_type D (tptp.subset_type (tptp.cross_product B C))) (tptp.ilf_type D (tptp.relation_type B C)))) (forall ((E $$unsorted)) (=> (tptp.ilf_type E (tptp.relation_type B C)) (tptp.ilf_type E (tptp.subset_type (tptp.cross_product B C)))))))))))) (let ((_let_10 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (tptp.subset tptp.empty_set (tptp.cross_product B C)))))))) (let ((_let_11 (tptp.cross_product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.power_set _let_11))) (let ((_let_13 (tptp.member tptp.empty_set _let_12))) (let ((_let_14 (tptp.ilf_type tptp.empty_set (tptp.member_type _let_12)))) (let ((_let_15 (= _let_13 _let_14))) (let ((_let_16 (forall ((D $$unsorted)) (or (not (tptp.ilf_type D tptp.set_type)) (not (tptp.member D tptp.empty_set)) (tptp.member D (tptp.cross_product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_17 (= _let_13 _let_16))) (let ((_let_18 (tptp.ilf_type _let_11 tptp.set_type))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17))) (let ((_let_21 (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (= (tptp.member tptp.empty_set (tptp.power_set C)) (forall ((D $$unsorted)) (or (not (tptp.ilf_type D tptp.set_type)) (not (tptp.member D tptp.empty_set)) (tptp.member D C)))))))) (let ((_let_22 (tptp.ilf_type tptp.empty_set tptp.set_type))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21))) (let ((_let_25 (forall ((B $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (= (tptp.member B (tptp.power_set C)) (forall ((D $$unsorted)) (or (not (tptp.ilf_type D tptp.set_type)) (not (tptp.member D B)) (tptp.member D C)))))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_2))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_27)) _let_28 :args (_let_22 false _let_2)))) (let ((_let_30 (_let_21))) (let ((_let_31 (tptp.ilf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.set_type))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_18))) (let ((_let_34 (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (tptp.ilf_type (tptp.cross_product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C) tptp.set_type))))) (let ((_let_35 (tptp.ilf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.set_type))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34))) (let ((_let_38 (forall ((B $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (tptp.ilf_type (tptp.cross_product B C) tptp.set_type))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_41 (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (tptp.ilf_type tptp.empty_set (tptp.relation_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C)))))) (let ((_let_42 (or _let_36 _let_41))) (let ((_let_43 (forall ((B $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (tptp.ilf_type tptp.empty_set (tptp.relation_type B C)))))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (or))) (let ((_let_47 (not _let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args (_let_47))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_43))) (REFL :args (_let_44)) :args _let_46)) _let_45 :args (_let_44 true _let_43)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 0)) (CONG (REFL :args (_let_42)) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_46)) :args ((or _let_35 _let_42))) _let_48 :args (_let_35 true _let_42)))) (let ((_let_50 (_let_34))) (let ((_let_51 (tptp.relation_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (tptp.ilf_type tptp.empty_set _let_51))) (let ((_let_53 (or _let_32 _let_52))) (let ((_let_54 (not _let_53))) (let ((_let_55 (not _let_41))) (let ((_let_56 (_let_55))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_41))) (REFL :args (_let_54)) :args _let_46)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 1)) _let_48 :args (_let_55 true _let_42)) :args (_let_54 true _let_41)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG (REFL :args (_let_53)) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_46)) :args ((or _let_31 _let_53))) _let_57 :args (_let_31 true _let_53)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_18 (not _let_33)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cross_product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C)))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_34 (not _let_37)))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_40) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_34 false _let_35 false _let_37)) :args (_let_33 false _let_34)) :args (_let_18 false _let_31 false _let_33)))) (let ((_let_60 (forall ((D $$unsorted)) (or (not (tptp.ilf_type D tptp.set_type)) (not (tptp.member D tptp.empty_set)) (tptp.member D (tptp.cross_product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_61 (tptp.subset tptp.empty_set _let_11))) (let ((_let_62 (= _let_61 _let_60))) (let ((_let_63 (or _let_19 _let_62))) (let ((_let_64 (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (= (tptp.subset tptp.empty_set C) (forall ((D $$unsorted)) (or (not (tptp.ilf_type D tptp.set_type)) (not (tptp.member D tptp.empty_set)) (tptp.member D C)))))))) (let ((_let_65 (or _let_23 _let_64))) (let ((_let_66 (forall ((B $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (= (tptp.subset B C) (forall ((D $$unsorted)) (or (not (tptp.ilf_type D tptp.set_type)) (not (tptp.member D B)) (tptp.member D C)))))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_64))) (let ((_let_69 (or _let_32 _let_61))) (let ((_let_70 (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (tptp.subset tptp.empty_set (tptp.cross_product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C)))))) (let ((_let_71 (or _let_36 _let_70))) (let ((_let_72 (forall ((B $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (tptp.subset tptp.empty_set (tptp.cross_product B C)))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_70))) (let ((_let_75 (tptp.ilf_type tptp.empty_set (tptp.subset_type _let_11)))) (let ((_let_76 (= _let_75 _let_14))) (let ((_let_77 (not _let_14))) (let ((_let_78 (or _let_23 _let_76))) (let ((_let_79 (forall ((C $$unsorted)) (let ((_let_1 (tptp.cross_product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (or (not (tptp.ilf_type C tptp.set_type)) (= (tptp.ilf_type C (tptp.subset_type _let_1)) (tptp.ilf_type C (tptp.member_type (tptp.power_set _let_1))))))))) (let ((_let_80 (or _let_19 _let_79))) (let ((_let_81 (forall ((B $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (= (tptp.ilf_type C (tptp.subset_type B)) (tptp.ilf_type C (tptp.member_type (tptp.power_set B)))))))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_79))) (let ((_let_84 (not _let_75))) (let ((_let_85 (or _let_84 _let_52))) (let ((_let_86 (forall ((D $$unsorted)) (or (not (tptp.ilf_type D (tptp.subset_type (tptp.cross_product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.ilf_type D (tptp.relation_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_87 (and _let_86 (forall ((E $$unsorted)) (or (not (tptp.ilf_type E (tptp.relation_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (tptp.ilf_type E (tptp.subset_type (tptp.cross_product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))))) (let ((_let_88 (or _let_32 _let_87))) (let ((_let_89 (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (and (forall ((D $$unsorted)) (or (not (tptp.ilf_type D (tptp.subset_type (tptp.cross_product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C)))) (tptp.ilf_type D (tptp.relation_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C)))) (forall ((E $$unsorted)) (or (not (tptp.ilf_type E (tptp.relation_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C))) (tptp.ilf_type E (tptp.subset_type (tptp.cross_product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C)))))))))) (let ((_let_90 (or _let_36 _let_89))) (let ((_let_91 (forall ((B $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (forall ((C $$unsorted)) (or (not (tptp.ilf_type C tptp.set_type)) (and (forall ((D $$unsorted)) (or (not (tptp.ilf_type D (tptp.subset_type (tptp.cross_product B C)))) (tptp.ilf_type D (tptp.relation_type B C)))) (forall ((E $$unsorted)) (or (not (tptp.ilf_type E (tptp.relation_type B C))) (tptp.ilf_type E (tptp.subset_type (tptp.cross_product B C)))))))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_89))) (let ((_let_94 (_let_86))) (let ((_let_95 (tptp.ilf_type _let_12 tptp.set_type))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.empty _let_12))) (let ((_let_98 (or _let_97 _let_96 _let_15))) (let ((_let_99 (forall ((C $$unsorted)) (or (tptp.empty C) (not (tptp.ilf_type C tptp.set_type)) (= (tptp.ilf_type tptp.empty_set (tptp.member_type C)) (tptp.member tptp.empty_set C)))))) (let ((_let_100 (or _let_23 _let_99))) (let ((_let_101 (forall ((B $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (forall ((C $$unsorted)) (or (tptp.empty C) (not (tptp.ilf_type C tptp.set_type)) (= (tptp.ilf_type B (tptp.member_type C)) (tptp.member B C)))))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_99))) (let ((_let_104 (not _let_97))) (let ((_let_105 (and _let_104 _let_95))) (let ((_let_106 (or _let_19 _let_105))) (let ((_let_107 (forall ((B $$unsorted)) (let ((_let_1 (tptp.power_set B))) (or (not (tptp.ilf_type B tptp.set_type)) (and (not (tptp.empty _let_1)) (tptp.ilf_type _let_1 tptp.set_type))))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_19 _let_105 (not _let_106)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.power_set B)))) :args (_let_107))) _let_108 :args (_let_106 false _let_107)) :args (_let_105 false _let_18 false _let_106)))) (let ((_let_110 (not _let_105))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_15)) :args ((or (not _let_13) _let_14 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_97 _let_96 _let_15 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_105 0)) :args ((or _let_104 _let_110))) _let_109 :args (_let_104 false _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_105 1)) :args ((or _let_95 _let_110))) _let_109 :args (_let_95 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_103) :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.member tptp.empty_set C)))) :args _let_103))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_23 _let_99 (not _let_100)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ilf_type B tptp.set_type) false))))) :args (_let_101))) _let_102 :args (_let_100 false _let_101)) :args (_let_99 false _let_22 false _let_100)) :args (_let_98 false _let_99)) :args (_let_15 true _let_97 false _let_95 false _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_76)) :args ((or _let_75 _let_77 (not _let_76)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_52 _let_84 (not _let_85)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_53 1)) _let_57 :args ((not _let_52) true _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_94) :args (tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ilf_type D _let_51) true))))) :args _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_87 0)) :args ((or _let_86 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_32 _let_87 (not _let_88)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_93) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ilf_type C tptp.set_type) false))))) :args _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_36 _let_89 (not _let_90)))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ilf_type B tptp.set_type) false))))) :args (_let_91))) _let_92 :args (_let_90 false _let_91)) :args (_let_89 false _let_35 false _let_90)) :args (_let_88 false _let_89)) :args (_let_87 false _let_31 false _let_88)) :args (_let_86 false _let_87)) :args (_let_85 false _let_86)) :args (_let_84 true _let_52 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_23 _let_76 (not _let_78)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_83) :args (tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ilf_type C tptp.set_type) false))))) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_19 _let_79 (not _let_80)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ilf_type B tptp.set_type) false))))) :args (_let_81))) _let_82 :args (_let_80 false _let_81)) :args (_let_79 false _let_18 false _let_80)) :args (_let_78 false _let_79)) :args (_let_76 false _let_22 false _let_78)) :args (_let_77 true _let_75 false _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_17)) :args ((or _let_13 (not _let_16) (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_60 (= D D)))) :args ((or _let_16 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_62)) :args ((or (not _let_61) _let_60 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_32 _let_61 (not _let_69)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_74) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ilf_type C tptp.set_type) false))))) :args _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_36 _let_70 (not _let_71)))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args _let_40) :args (_let_72))) _let_73 :args (_let_71 false _let_72)) :args (_let_70 false _let_35 false _let_71)) :args (_let_69 false _let_70)) :args (_let_61 false _let_31 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_19 _let_62 (not _let_63)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_68) :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ilf_type C tptp.set_type) false))))) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_23 _let_64 (not _let_65)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ilf_type B tptp.set_type) false))))) :args (_let_66))) _let_67 :args (_let_65 false _let_66)) :args (_let_64 false _let_22 false _let_65)) :args (_let_63 false _let_64)) :args (_let_62 false _let_18 false _let_63)) :args (_let_60 false _let_61 false _let_62)) :args (_let_16 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_17 (not _let_20)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ilf_type C tptp.set_type) false))))) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 (not _let_24)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ilf_type B tptp.set_type) false))))) :args (_let_25))) _let_26 :args (_let_24 false _let_25)) :args (_let_21 false _let_22 false _let_24)) :args (_let_20 false _let_21)) :args (_let_17 false _let_18 false _let_20)) :args (_let_13 false _let_16 false _let_17)) :args (false false _let_15 true _let_14 false _let_13)) :args (_let_10 _let_9 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (exists ((D $$unsorted)) (tptp.ilf_type D (tptp.relation_type C B))))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (not (tptp.member B tptp.empty_set)))) (tptp.empty tptp.empty_set) (tptp.type tptp.empty_set tptp.set_type) _let_8 _let_7 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (exists ((C $$unsorted)) (tptp.ilf_type C (tptp.subset_type B))))) _let_6 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (tptp.subset B B))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (= (tptp.empty B) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (not (tptp.member C B))))))) _let_5 _let_4 _let_3 (forall ((B $$unsorted)) (=> (and (not (tptp.empty B)) (tptp.ilf_type B tptp.set_type)) (exists ((C $$unsorted)) (tptp.ilf_type C (tptp.member_type B))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (= (tptp.relation_like B) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (=> (tptp.member C B) (exists ((D $$unsorted)) (and (tptp.ilf_type D tptp.set_type) (exists ((E $$unsorted)) (and (tptp.ilf_type E tptp.set_type) (= C (tptp.ordered_pair D E)))))))))))) (forall ((B $$unsorted)) (=> (and (tptp.empty B) (tptp.ilf_type B tptp.set_type)) (tptp.relation_like B))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (forall ((D $$unsorted)) (=> (tptp.ilf_type D (tptp.subset_type (tptp.cross_product B C))) (tptp.relation_like D))))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (tptp.ilf_type (tptp.ordered_pair B C) tptp.set_type))))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 46.35/46.57 )
% 46.35/46.57 % SZS output end Proof for SET662+3
% 46.35/46.57 % cvc5---1.0.5 exiting
% 46.35/46.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------