TSTP Solution File: SET156+4 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET156+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 14:37:58 EDT 2023
% Result : Theorem 0.22s 0.55s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET156+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n010.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 09:06:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.55 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.N1dopceeLq/cvc5---1.0.5_22848.p...
% 0.22/0.55 ------- get file name : TPTP file name is SET156+4
% 0.22/0.55 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22848.smt2...
% 0.22/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55 % SZS status Theorem for SET156+4
% 0.22/0.55 % SZS output start Proof for SET156+4
% 0.22/0.55 (
% 0.22/0.55 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (E $$unsorted)) (=> (and (tptp.subset A E) (tptp.subset B E)) (tptp.equal_set (tptp.difference E (tptp.intersection A B)) (tptp.union (tptp.difference E A) (tptp.difference E B)))))))) (let ((_let_2 (forall ((B $$unsorted) (A $$unsorted) (E $$unsorted)) (= (tptp.member B (tptp.difference E A)) (and (tptp.member B E) (not (tptp.member B A))))))) (let ((_let_3 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))))) (let ((_let_4 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.intersection A B)) (and (tptp.member X A) (tptp.member X B)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.equal_set A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_7 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_7))) (let ((_let_9 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (tptp.union _let_9 _let_7))) (let ((_let_13 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_12))) (let ((_let_14 (= _let_13 _let_11))) (let ((_let_15 (not _let_11))) (let ((_let_16 (_let_3))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 ((tptp.member X (tptp.union A B))))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_9 _let_7 QUANTIFIERS_INST_E_MATCHING _let_18)) :args _let_16)) _let_17 :args (_let_14 false _let_3)))) (let ((_let_20 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_20))) (let ((_let_22 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_21))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_13))) (let ((_let_25 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member X (tptp.union (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (tptp.subset _let_21 _let_12))) (let ((_let_28 (= _let_27 _let_25))) (let ((_let_29 (not _let_25))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 ((tptp.subset A B)))) (let ((_let_34 (tptp.subset _let_12 _let_21))) (let ((_let_35 (and _let_27 _let_34))) (let ((_let_36 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.union (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member X (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_37 (= _let_34 _let_36))) (let ((_let_38 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_21))) (let ((_let_39 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_12))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38))) (let ((_let_42 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_7))) (let ((_let_43 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_9))) (let ((_let_44 (or _let_43 _let_42))) (let ((_let_45 (= _let_39 _let_44))) (let ((_let_46 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_20))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_49 (and _let_48 _let_47))) (let ((_let_50 (= _let_38 _let_49))) (let ((_let_51 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (and _let_52 _let_51))) (let ((_let_54 (= _let_46 _let_53))) (let ((_let_55 (not _let_52))) (let ((_let_56 (and _let_48 _let_55))) (let ((_let_57 (not _let_51))) (let ((_let_58 (and _let_48 _let_57))) (let ((_let_59 (= _let_43 _let_56))) (let ((_let_60 (= _let_42 _let_58))) (let ((_let_61 (or))) (let ((_let_62 (_let_2))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((tptp.member B (tptp.difference E A))))) (let ((_let_65 (not _let_44))) (let ((_let_66 (not _let_56))) (let ((_let_67 (not _let_58))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_59 false _let_2)))) (let ((_let_69 (REORDERING (CNF_EQUIV_POS1 :args (_let_59)) :args ((or (not _let_43) _let_56 (not _let_59)))))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_60 false _let_2)))) (let ((_let_71 (REORDERING (CNF_EQUIV_POS1 :args (_let_60)) :args ((or (not _let_42) _let_58 (not _let_60)))))) (let ((_let_72 (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_42 _let_65))))) (let ((_let_73 (not _let_48))) (let ((_let_74 (_let_49))) (let ((_let_75 (_let_4))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 ((tptp.member X (tptp.intersection A B))))) (let ((_let_78 (not _let_53))) (let ((_let_79 (not _let_36))) (let ((_let_80 (_let_79))) (let ((_let_81 (tptp.equal_set _let_21 _let_12))) (let ((_let_82 (= _let_81 _let_35))) (let ((_let_83 (not _let_35))) (let ((_let_84 (_let_5))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (or (not (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_81))) (let ((_let_87 (forall ((A $$unsorted) (B $$unsorted) (E $$unsorted)) (or (not (tptp.subset A E)) (not (tptp.subset B E)) (tptp.equal_set (tptp.difference E (tptp.intersection A B)) (tptp.union (tptp.difference E A) (tptp.difference E B))))))) (let ((_let_88 (not _let_86))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (not _let_87))) (let ((_let_91 (_let_29))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_91)) :args _let_91)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_25))) (REFL :args (_let_26)) :args _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_28)) :args ((or _let_27 _let_29 (not _let_28)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_82)) :args ((or _let_81 _let_83 (not _let_82)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_86 2)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_89) :args (_let_90))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_87))) (REFL :args (_let_88)) :args _let_61)) _let_89 :args (_let_88 true _let_87)) :args ((not _let_81) true _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_21 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equal_set A B)))) :args _let_84)) _let_85 :args (_let_82 false _let_5)) :args (_let_83 true _let_81 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_37)) :args ((or _let_34 _let_79 (not _let_37)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_36))) (REFL :args ((not _let_41))) :args _let_61)) (MACRO_RESOLUTION_TRUST _let_72 _let_71 _let_70 _let_69 _let_68 (REORDERING (CNF_AND_POS :args (_let_58 1)) :args ((or _let_57 _let_67))) (REORDERING (CNF_AND_POS :args (_let_56 1)) :args ((or _let_55 _let_66))) (REORDERING (CNF_AND_POS :args (_let_53 1)) :args ((or _let_51 _let_78))) (REORDERING (CNF_AND_POS :args (_let_53 0)) :args ((or _let_52 _let_78))) (REORDERING (CNF_EQUIV_POS1 :args (_let_54)) :args ((or _let_47 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_54 false _let_4)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_74) (CONG (REFL :args _let_74) (REFL :args (_let_73)) (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_61)) :args ((or _let_46 _let_49 _let_73))) (MACRO_RESOLUTION_TRUST _let_72 _let_71 _let_70 _let_69 _let_68 (REORDERING (CNF_AND_POS :args (_let_58 0)) :args ((or _let_48 _let_67))) (REORDERING (CNF_AND_POS :args (_let_56 0)) :args ((or _let_48 _let_66))) :args ((or _let_48 _let_65) true _let_42 false _let_60 true _let_43 false _let_59 true _let_58 true _let_56)) (REORDERING (CNF_EQUIV_POS2 :args (_let_50)) :args ((or _let_38 (not _let_49) (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_50 false _let_2)) (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or _let_40 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_9 _let_7 QUANTIFIERS_INST_E_MATCHING _let_18)) :args _let_16)) _let_17 :args (_let_45 false _let_3)) (CNF_OR_NEG :args (_let_41 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 0)) (CONG (REFL :args (_let_41)) (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_61)) :args ((or _let_39 _let_41))) :args (_let_41 true _let_42 false _let_60 true _let_43 false _let_59 true _let_58 true _let_56 false _let_51 false _let_52 false _let_53 false _let_54 false _let_46 false _let_48 true _let_49 false _let_50 false _let_44 false _let_45 true _let_38 false _let_39)) :args (_let_36 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_12 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_37 false _let_30)) :args (_let_34 false _let_36 false _let_37)) :args ((not _let_27) true _let_35 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_21 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_28 false _let_30)) :args (_let_29 true _let_27 false _let_28)) :args (_let_26 true _let_25)))) (let ((_let_93 (CNF_OR_NEG :args (_let_24 1)))) (let ((_let_94 (REORDERING (CNF_EQUIV_POS2 :args (_let_14)) :args ((or _let_13 _let_15 (not _let_14)))))) (let ((_let_95 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_98 (and _let_97 _let_96))) (let ((_let_99 (= _let_10 _let_98))) (let ((_let_100 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_20))) (let ((_let_101 (not _let_100))) (let ((_let_102 (and _let_97 _let_101))) (let ((_let_103 (= _let_22 _let_102))) (let ((_let_104 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_105 (and _let_95 _let_104))) (let ((_let_106 (= _let_100 _let_105))) (let ((_let_107 (not _let_104))) (let ((_let_108 (and _let_97 _let_107))) (let ((_let_109 (= _let_8 _let_108))) (let ((_let_110 (not _let_102))) (let ((_let_111 (not _let_97))) (let ((_let_112 (REFL :args (_let_111)))) (let ((_let_113 (_let_98))) (let ((_let_114 (_let_108))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_11 0)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_99)) :args ((or _let_10 (not _let_98) (not _let_99)))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_114) (CONG (REFL :args _let_114) _let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_104))) :args _let_61)) :args ((or _let_111 _let_104 _let_108))) (REORDERING (CNF_AND_NEG :args (_let_105)) :args ((or _let_105 _let_107 _let_96))) (REORDERING (CNF_EQUIV_POS2 :args (_let_109)) :args ((or _let_8 (not _let_108) (not _let_109)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_109 false _let_2)) (REORDERING (CNF_EQUIV_POS2 :args (_let_106)) :args ((or _let_100 (not _let_105) (not _let_106)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_106 false _let_4)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_113) (CONG (REFL :args _let_113) _let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_95))) :args _let_61)) :args ((or _let_111 _let_95 _let_98))) (CNF_OR_NEG :args (_let_11 1)) (REORDERING (CNF_AND_POS :args (_let_102 1)) :args ((or _let_101 _let_110))) (REORDERING (CNF_AND_POS :args (_let_102 0)) :args ((or _let_97 _let_110))) _let_94 _let_19 (REORDERING (CNF_EQUIV_POS1 :args (_let_103)) :args ((or _let_23 _let_102 (not _let_103)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_103 false _let_2)) _let_93 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG (REFL :args (_let_24)) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_61)) :args ((or _let_22 _let_24))) :args ((or _let_24 _let_98) true _let_104 true _let_108 false _let_109 true _let_105 false _let_106 false _let_95 true _let_8 true _let_100 false _let_97 true _let_11 false _let_14 false _let_102 false _let_103 true _let_13 false _let_22)) _let_92 :args (_let_98 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_99 false _let_2)) :args (_let_10 false _let_98 false _let_99)) (MACRO_RESOLUTION_TRUST _let_94 (MACRO_RESOLUTION_TRUST _let_93 _let_92 :args ((not _let_13) true _let_24)) _let_19 :args (_let_15 true _let_13 false _let_14)) :args (false false _let_10 true _let_11)) :args (_let_6 _let_5 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.power_set A)) (tptp.subset X A))) _let_4 _let_3 (forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))) _let_2 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.singleton A)) (= X A))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.unordered_pair A B)) (or (= X A) (= X B)))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.sum A)) (exists ((Y $$unsorted)) (and (tptp.member Y A) (tptp.member X Y))))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.product A)) (forall ((Y $$unsorted)) (=> (tptp.member Y A) (tptp.member X Y))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.55 )
% 0.22/0.55 % SZS output end Proof for SET156+4
% 0.22/0.55 % cvc5---1.0.5 exiting
% 0.22/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------