TSTP Solution File: SET817+4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET817+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 14:40:26 EDT 2023
% Result : Theorem 100.15s 100.84s
% Output : Proof 100.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET817+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 13:46:40 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 100.15/100.84 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VL3RGGJG0I/cvc5---1.0.5_27468.p...
% 100.15/100.84 ------- get file name : TPTP file name is SET817+4
% 100.15/100.84 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27468.smt2...
% 100.15/100.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 100.15/100.84 --- Run --no-e-matching --full-saturate-quant at 5...
% 100.15/100.84 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 100.15/100.84 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 100.15/100.84 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 100.15/100.84 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 100.15/100.84 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 100.15/100.84 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 100.15/100.84 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 100.15/100.84 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 100.15/100.84 --- Run --relevant-triggers --full-saturate-quant at 5...
% 100.15/100.84 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 100.15/100.84 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 100.15/100.84 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 100.15/100.84 --- Run --no-cbqi --full-saturate-quant at 10...
% 100.15/100.84 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 100.15/100.84 % SZS status Theorem for SET817+4
% 100.15/100.84 % SZS output start Proof for SET817+4
% 100.15/100.84 (
% 100.15/100.84 (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (tptp.subset A tptp.on) (tptp.set A) (exists ((X $$unsorted)) (tptp.member X A))) (tptp.member (tptp.product A) tptp.on)))))) (let ((_let_2 (forall ((A $$unsorted) (X $$unsorted)) (=> (tptp.member X A) (tptp.subset (tptp.product A) X))))) (let ((_let_3 (forall ((X $$unsorted)) (=> (tptp.set X) (tptp.set (tptp.product X)))))) (let ((_let_4 (forall ((R $$unsorted) (E $$unsorted)) (= (tptp.strict_order R E) (and (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.member X E) (tptp.member Y E)) (not (and (tptp.apply R X Y) (tptp.apply R Y X))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.member X E) (tptp.member Y E) (tptp.member Z E)) (=> (and (tptp.apply R X Y) (tptp.apply R Y Z)) (tptp.apply R X Z))))))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply tptp.member_predicate X Y) (tptp.member X Y))))) (let ((_let_6 (forall ((R $$unsorted) (E $$unsorted) (M $$unsorted)) (= (tptp.least M R E) (and (tptp.member M E) (forall ((X $$unsorted)) (=> (tptp.member X E) (or (= M X) (tptp.apply R M X))))))))) (let ((_let_7 (forall ((R $$unsorted) (E $$unsorted)) (= (tptp.strict_well_order R E) (and (tptp.strict_order R E) (forall ((A $$unsorted)) (=> (and (tptp.subset A E) (exists ((X $$unsorted)) (tptp.member X A))) (exists ((Y $$unsorted)) (tptp.least Y R A))))))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.member A tptp.on) (and (tptp.set A) (tptp.strict_well_order tptp.member_predicate A) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.subset X A)))))))) (let ((_let_9 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.product A)) (forall ((Y $$unsorted)) (=> (tptp.member Y A) (tptp.member X Y))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.equal_set A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_12 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72))) (let ((_let_13 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73))) (let ((_let_16 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73))) (let ((_let_17 (not _let_16))) (let ((_let_18 (not _let_12))) (let ((_let_19 (not _let_14))) (let ((_let_20 (not _let_13))) (let ((_let_21 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_19 _let_18 _let_17 _let_15))) (let ((_let_24 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 _let_24))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 _let_24))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 _let_24))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_26 _let_18 _let_17 _let_15))) (let ((_let_32 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.apply tptp.member_predicate X _let_1)) (not (tptp.apply tptp.member_predicate Y _let_1)) (not (tptp.apply tptp.member_predicate Z _let_1)) (not (tptp.apply tptp.member_predicate X Y)) (not (tptp.apply tptp.member_predicate Y Z)) (tptp.apply tptp.member_predicate X Z)))))) (let ((_let_33 (not _let_31))) (let ((_let_34 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.apply tptp.member_predicate X _let_1)) (not (tptp.apply tptp.member_predicate Y _let_1)) (not (tptp.apply tptp.member_predicate X Y)) (not (tptp.apply tptp.member_predicate Y X))))))) (let ((_let_35 (forall ((A $$unsorted) (BOUND_VARIABLE_923 $$unsorted)) (or (not (forall ((X $$unsorted)) (or (not (tptp.apply tptp.member_predicate X A)) (tptp.apply tptp.member_predicate X (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (not (tptp.apply tptp.member_predicate BOUND_VARIABLE_923 A)) (not (forall ((Y $$unsorted)) (or (not (tptp.apply tptp.member_predicate Y A)) (not (forall ((X $$unsorted)) (or (not (tptp.apply tptp.member_predicate X A)) (= Y X) (tptp.apply tptp.member_predicate Y X))))))))))) (let ((_let_36 (forall ((X $$unsorted) (BOUND_VARIABLE_1678 $$unsorted)) (let ((_let_1 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.apply tptp.member_predicate X _let_1)) (not (tptp.apply tptp.member_predicate BOUND_VARIABLE_1678 X)) (tptp.apply tptp.member_predicate BOUND_VARIABLE_1678 _let_1)))))) (let ((_let_37 (tptp.set _let_24))) (let ((_let_38 (and _let_37 _let_36 _let_35 _let_34 _let_32))) (let ((_let_39 (not _let_32))) (let ((_let_40 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_24))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_24))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_43 _let_41))) (let ((_let_49 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_50 (or _let_47 _let_49))) (let ((_let_51 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (or _let_45 _let_51))) (let ((_let_53 (not _let_51))) (let ((_let_54 (not _let_49))) (let ((_let_55 (or _let_54 _let_53 _let_43 _let_41))) (let ((_let_56 (or))) (let ((_let_57 (REFL :args (_let_48)))) (let ((_let_58 (forall ((X $$unsorted)) (or (not (tptp.apply tptp.member_predicate X (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (tptp.apply tptp.member_predicate X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_59 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_60 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 _let_24))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59))) (let ((_let_63 (tptp.apply tptp.member_predicate SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_61 _let_59))) (let ((_let_66 (tptp.apply tptp.member_predicate _let_24 tptp.on))) (let ((_let_67 (tptp.set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_68 (not _let_67))) (let ((_let_69 (forall ((X $$unsorted)) (or (not (tptp.apply tptp.member_predicate X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.apply tptp.member_predicate X tptp.on))))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68 _let_64 _let_66))) (let ((_let_72 (forall ((A $$unsorted) (BOUND_VARIABLE_1013 $$unsorted)) (or (not (forall ((X $$unsorted)) (or (not (tptp.apply tptp.member_predicate X A)) (tptp.apply tptp.member_predicate X tptp.on)))) (not (tptp.set A)) (not (tptp.apply tptp.member_predicate BOUND_VARIABLE_1013 A)) (tptp.apply tptp.member_predicate (tptp.product A) tptp.on))))) (let ((_let_73 (not _let_71))) (let ((_let_74 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.subset (lambda ((BOUND_VARIABLE_1021 $$unsorted) (BOUND_VARIABLE_1022 $$unsorted)) (forall ((X $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1021)) (tptp.member X BOUND_VARIABLE_1022))))))))) (let ((_let_75 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO _let_74 :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.equal_set (lambda ((BOUND_VARIABLE_1051 $$unsorted) (BOUND_VARIABLE_1052 $$unsorted)) (and (forall ((X $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1051)) (tptp.member X BOUND_VARIABLE_1052))) (forall ((X $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1052)) (tptp.member X BOUND_VARIABLE_1051)))))))))) (let ((_let_76 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_75 _let_74) :args ((forall ((R $$unsorted) (E $$unsorted)) (= (tptp.strict_well_order R E) (and (tptp.strict_order R E) (forall ((A $$unsorted) (BOUND_VARIABLE_923 $$unsorted)) (or (not (tptp.subset A E)) (not (tptp.member BOUND_VARIABLE_923 A)) (not (forall ((Y $$unsorted)) (not (tptp.least Y R A))))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.strict_well_order (lambda ((BOUND_VARIABLE_1125 $$unsorted) (BOUND_VARIABLE_1126 $$unsorted)) (and (tptp.strict_order BOUND_VARIABLE_1125 BOUND_VARIABLE_1126) (forall ((A $$unsorted) (BOUND_VARIABLE_923 $$unsorted)) (or (not (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X BOUND_VARIABLE_1126)))) (not (tptp.member BOUND_VARIABLE_923 A)) (not (forall ((Y $$unsorted)) (not (tptp.least Y BOUND_VARIABLE_1125 A))))))))))))) (let ((_let_77 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.least (lambda ((BOUND_VARIABLE_1144 $$unsorted) (BOUND_VARIABLE_1145 $$unsorted) (BOUND_VARIABLE_1146 $$unsorted)) (and (tptp.member BOUND_VARIABLE_1144 BOUND_VARIABLE_1146) (forall ((X $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1146)) (= BOUND_VARIABLE_1144 X) (tptp.apply BOUND_VARIABLE_1145 BOUND_VARIABLE_1144 X)))))))))) (let ((_let_78 (TRUST_SUBS_EQ (ASSUME :args (_let_5)) :args ((= tptp.member (lambda ((BOUND_VARIABLE_1166 $$unsorted) (BOUND_VARIABLE_1167 $$unsorted)) (tptp.apply tptp.member_predicate BOUND_VARIABLE_1166 BOUND_VARIABLE_1167))))))) (let ((_let_79 (AND_INTRO (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_78 _let_77 _let_76 _let_75 _let_74) :args ((forall ((R $$unsorted) (E $$unsorted)) (= (tptp.strict_order R E) (and (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X E)) (not (tptp.member Y E)) (not (tptp.apply R X Y)) (not (tptp.apply R Y X)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X E)) (not (tptp.member Y E)) (not (tptp.member Z E)) (not (tptp.apply R X Y)) (not (tptp.apply R Y Z)) (tptp.apply R X Z)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.strict_order (lambda ((BOUND_VARIABLE_1210 $$unsorted) (BOUND_VARIABLE_1211 $$unsorted)) (and (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.apply tptp.member_predicate X BOUND_VARIABLE_1211)) (not (tptp.apply tptp.member_predicate Y BOUND_VARIABLE_1211)) (not (tptp.apply BOUND_VARIABLE_1210 X Y)) (not (tptp.apply BOUND_VARIABLE_1210 Y X)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.apply tptp.member_predicate X BOUND_VARIABLE_1211)) (not (tptp.apply tptp.member_predicate Y BOUND_VARIABLE_1211)) (not (tptp.apply tptp.member_predicate Z BOUND_VARIABLE_1211)) (not (tptp.apply BOUND_VARIABLE_1210 X Y)) (not (tptp.apply BOUND_VARIABLE_1210 Y Z)) (tptp.apply BOUND_VARIABLE_1210 X Z)))))))) _let_78 _let_77 _let_76 _let_75 _let_74))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_79 :args ((not (forall ((A $$unsorted) (BOUND_VARIABLE_1013 $$unsorted)) (or (not (tptp.subset A tptp.on)) (not (tptp.set A)) (not (tptp.member BOUND_VARIABLE_1013 A)) (tptp.member (tptp.product A) tptp.on)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_81 (not _let_72))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_80) :args (_let_81))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_72))) (REFL :args (_let_73)) :args _let_56)) _let_80 :args (_let_73 true _let_72)))) (let ((_let_83 (REFL :args (_let_71)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 2)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) :args _let_56)) :args ((or _let_63 _let_71))) _let_82 :args (_let_63 true _let_71)))) (let ((_let_85 (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_1343 $$unsorted)) (or (not (tptp.apply tptp.member_predicate X A)) (not (tptp.apply tptp.member_predicate BOUND_VARIABLE_1343 (tptp.product A))) (tptp.apply tptp.member_predicate BOUND_VARIABLE_1343 X))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_79 :args ((forall ((A $$unsorted) (X $$unsorted)) (or (not (tptp.member X A)) (tptp.subset (tptp.product A) X))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_87 (not _let_58))) (let ((_let_88 (_let_87))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_88)) :args _let_88)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_58))) (REFL :args ((not _let_62))) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_61 _let_59 (not _let_65)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_85))) _let_86 :args (_let_65 false _let_85)) _let_84 (CNF_OR_NEG :args (_let_62 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 0)) (CONG (REFL :args (_let_62)) (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_56)) :args ((or _let_60 _let_62))) :args (_let_62 false _let_65 false _let_63 true _let_59 false _let_60)) :args (_let_58 false _let_62)))) (let ((_let_90 (_let_58))) (let ((_let_91 ((not (= (tptp.apply tptp.member_predicate X _let_24) false))))) (let ((_let_92 (ASSUME :args _let_90))) (let ((_let_93 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.apply tptp.member_predicate X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.apply tptp.member_predicate Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.apply tptp.member_predicate X Y)) (not (tptp.apply tptp.member_predicate Y X)))))) (let ((_let_94 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.apply tptp.member_predicate X 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.apply tptp.member_predicate X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) true))))) :args _let_90)) _let_89 :args (_let_130 false _let_58)) (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_122 _let_120 (not _let_123)))) (CNF_OR_NEG :args (_let_128 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_128 0)) (CONG (REFL :args (_let_128)) (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_121))) :args _let_56)) :args ((or _let_121 _let_128))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_134)) :args _let_134)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_124))) (REFL :args ((not _let_128))) :args _let_56)) (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_116 _let_114 _let_125 (not _let_126)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_133) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 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:args _let_56)) :args ((or _let_42 _let_48))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_56)) :args ((or _let_44 _let_48))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 0)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_56)) :args ((or _let_46 _let_48))) :args (_let_48 false _let_55 false _let_51 false _let_52 false _let_49 false _let_50 false _let_40 false _let_42 false _let_44 false _let_46)) :args (_let_34 false _let_48)) :args (_let_39 true _let_38 false _let_37 false _let_36 false _let_35 false _let_34)) :args (_let_33 true _let_32)))) (let ((_let_177 (REFL :args (_let_31)))) (let ((_let_178 (or _let_28 _let_13))) (let ((_let_179 (or _let_26 _let_14))) (let ((_let_180 (_let_94))) (let ((_let_181 (or _let_30 _let_21))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_18 _let_17 _let_15 _let_22 _let_20 _let_19 (not _let_23)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_31 5)) _let_176 :args ((not _let_15) true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 4)) (CONG _let_177 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_56)) :args ((or _let_16 _let_31))) _let_176 :args (_let_16 true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_181)) :args ((or _let_30 _let_21 (not _let_181)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG _let_177 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_56)) :args ((or _let_29 _let_31))) _let_176 :args (_let_29 true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_181 false _let_58)) :args (_let_21 false _let_29 false _let_181)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_180) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.apply tptp.member_predicate X Z) true)) (not (= (tptp.apply tptp.member_predicate X Y) false))))) :args _let_180)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 4)) :args ((or _let_94 _let_109))) _let_108 :args (_let_94 false _let_96)) :args (_let_23 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_26 _let_14 (not _let_179)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 2)) (CONG _let_177 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_56)) :args ((or _let_25 _let_31))) _let_176 :args (_let_25 true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_73 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_179 false _let_58)) :args (_let_14 false _let_25 false _let_179)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_28 _let_13 (not _let_178)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG _let_177 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_56)) :args ((or _let_27 _let_31))) _let_176 :args (_let_27 true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_178 false _let_58)) :args (_let_13 false _let_27 false _let_178)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 3)) (CONG _let_177 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_12))) :args _let_56)) :args ((or _let_12 _let_31))) _let_176 :args (_let_12 true _let_31)) :args (false true _let_15 false _let_16 false _let_21 false _let_23 false _let_14 false _let_13 false _let_12)) :args (_let_11 _let_10 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.power_set A)) (tptp.subset X A))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.intersection A B)) (and (tptp.member X A) (tptp.member X B)))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))) (forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))) (forall ((B $$unsorted) (A $$unsorted) (E $$unsorted)) (= (tptp.member B (tptp.difference E A)) (and (tptp.member B E) (not (tptp.member B A))))) (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))))) _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((X $$unsorted)) (=> (tptp.set X) (forall ((Y $$unsorted)) (=> (tptp.member Y X) (tptp.set Y))))) (forall ((X $$unsorted) (R $$unsorted) (A $$unsorted) (Y $$unsorted)) (= (tptp.member Y (tptp.initial_segment X R A)) (and (tptp.member Y A) (tptp.apply R Y X)))) (forall ((A $$unsorted) (X $$unsorted)) (= (tptp.member X (tptp.suc A)) (tptp.member X (tptp.union A (tptp.singleton A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.subset A B) (tptp.subset B C)) (tptp.subset A C))) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 100.15/100.86 )
% 100.15/100.86 % SZS output end Proof for SET817+4
% 100.15/100.86 % cvc5---1.0.5 exiting
% 100.15/100.86 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------