TSTP Solution File: SEV522+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV522+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 19:22:43 EDT 2023
% Result : Theorem 145.02s 145.24s
% Output : Proof 145.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV522+1 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 02:43:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 145.02/145.24 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.LL5msYDDJG/cvc5---1.0.5_27931.p...
% 145.02/145.24 ------- get file name : TPTP file name is SEV522+1
% 145.02/145.24 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27931.smt2...
% 145.02/145.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 145.02/145.24 --- Run --no-e-matching --full-saturate-quant at 5...
% 145.02/145.24 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 145.02/145.24 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 145.02/145.24 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 145.02/145.24 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 145.02/145.24 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 145.02/145.24 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 145.02/145.24 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 145.02/145.24 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 145.02/145.24 --- Run --relevant-triggers --full-saturate-quant at 5...
% 145.02/145.24 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 145.02/145.24 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 145.02/145.24 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 145.02/145.24 --- Run --no-cbqi --full-saturate-quant at 10...
% 145.02/145.24 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 145.02/145.24 % SZS status Theorem for SEV522+1
% 145.02/145.24 % SZS output start Proof for SEV522+1
% 145.02/145.24 (
% 145.02/145.24 (let ((_let_1 (not (forall ((P $$unsorted) (Q $$unsorted)) (=> (and (tptp.subset P Q) (tptp.non_overlapping Q)) (tptp.non_overlapping P)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.unaryUnion A)) (forall ((C $$unsorted)) (= (tptp.member C B) (exists ((D $$unsorted)) (and (tptp.member C D) (tptp.member D A))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.insertIntoMember A B C) (tptp.union (tptp.union B (tptp.singleton A)) (tptp.difference C (tptp.singleton B))))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.non_overlapping X) (exists ((U $$unsorted)) (tptp.partition X U)))))) (let ((_let_5 (forall ((R $$unsorted) (E $$unsorted)) (= (tptp.pre_order R E) (and (forall ((X $$unsorted)) (=> (tptp.member X E) (tptp.apply R X X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.member X E) (tptp.member Y E) (tptp.member Z E)) (=> (and (tptp.apply R X Y) (tptp.apply R Y Z)) (tptp.apply R X Z))))))))) (let ((_let_6 (forall ((A $$unsorted) (R $$unsorted)) (= (tptp.equivalence R A) (and (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.apply R X X))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.member X A) (tptp.member Y A)) (=> (tptp.apply R X Y) (tptp.apply R Y X)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.member X A) (tptp.member Y A) (tptp.member Z A)) (=> (and (tptp.apply R X Y) (tptp.apply R Y Z)) (tptp.apply R X Z))))))))) (let ((_let_7 (forall ((A $$unsorted) (E $$unsorted)) (= (tptp.partition A E) (and (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.subset X E))) (forall ((X $$unsorted)) (=> (tptp.member X E) (exists ((Y $$unsorted)) (and (tptp.member Y A) (tptp.member X Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.member X A) (tptp.member Y A)) (=> (exists ((Z $$unsorted)) (and (tptp.member Z X) (tptp.member Z Y))) (= X Y))))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (not (exists ((X $$unsorted)) (and (tptp.member X A) (tptp.member X B)))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.equal_set A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_11 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_14 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_17 (not _let_16))) (let ((_let_18 (not _let_11))) (let ((_let_19 (not _let_12))) (let ((_let_20 (or _let_19 _let_18 _let_13 _let_17 _let_15))) (let ((_let_21 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_11))) (let ((_let_24 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_25 (not (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.member X Y)))))))))) (let ((_let_26 (not (forall ((X $$unsorted) (BOUND_VARIABLE_1136 $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.member BOUND_VARIABLE_1136 X)) (tptp.member BOUND_VARIABLE_1136 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (forall ((X $$unsorted) (BOUND_VARIABLE_1136 $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member BOUND_VARIABLE_1136 X)) (tptp.member BOUND_VARIABLE_1136 U)))) (not (forall ((X $$unsorted)) (or (not (tptp.member X U)) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member X Y)))))))))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_22 _let_30 _let_13 _let_15 _let_17))) (let ((_let_32 (and _let_31 _let_28))) (let ((_let_33 (forall ((X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_963 $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (= X Y) (not (tptp.member BOUND_VARIABLE_963 X)) (not (tptp.member BOUND_VARIABLE_963 Y)))))) (let ((_let_34 (not _let_33))) (let ((_let_35 (not _let_24))) (let ((_let_36 (or _let_35 _let_34 _let_32 _let_26 _let_25))) (let ((_let_37 (forall ((P $$unsorted) (Q $$unsorted) (BOUND_VARIABLE_1414 $$unsorted) (BOUND_VARIABLE_1412 $$unsorted) (BOUND_VARIABLE_1410 $$unsorted) (BOUND_VARIABLE_1398 $$unsorted)) (or (not (forall ((X $$unsorted)) (or (not (tptp.member X P)) (tptp.member X Q)))) (not (forall ((X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_963 $$unsorted)) (or (not (tptp.member X Q)) (not (tptp.member Y Q)) (= X Y) (not (tptp.member BOUND_VARIABLE_963 X)) (not (tptp.member BOUND_VARIABLE_963 Y))))) (and (or (not (tptp.member BOUND_VARIABLE_1410 P)) (not (tptp.member BOUND_VARIABLE_1412 P)) (= BOUND_VARIABLE_1410 BOUND_VARIABLE_1412) (not (tptp.member BOUND_VARIABLE_1414 BOUND_VARIABLE_1410)) (not (tptp.member BOUND_VARIABLE_1414 BOUND_VARIABLE_1412))) (not (forall ((U $$unsorted)) (or (not (forall ((X $$unsorted) (BOUND_VARIABLE_1136 $$unsorted)) (or (not (tptp.member X P)) (not (tptp.member BOUND_VARIABLE_1136 X)) (tptp.member BOUND_VARIABLE_1136 U)))) (not (forall ((X $$unsorted)) (or (not (tptp.member X U)) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y P)) (not (tptp.member X Y)))))))))))) (not (forall ((X $$unsorted) (BOUND_VARIABLE_1136 $$unsorted)) (or (not (tptp.member X Q)) (not (tptp.member BOUND_VARIABLE_1136 X)) (tptp.member BOUND_VARIABLE_1136 BOUND_VARIABLE_1398)))) (not (forall ((X $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1398)) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y Q)) (not (tptp.member X Y)))))))))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.subset (lambda ((BOUND_VARIABLE_1051 $$unsorted) (BOUND_VARIABLE_1052 $$unsorted)) (forall ((X $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1051)) (tptp.member X BOUND_VARIABLE_1052))))))))) (let ((_let_40 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO _let_39 :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.equal_set (lambda ((BOUND_VARIABLE_1081 $$unsorted) (BOUND_VARIABLE_1082 $$unsorted)) (and (forall ((X $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1081)) (tptp.member X BOUND_VARIABLE_1082))) (forall ((X $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1082)) (tptp.member X BOUND_VARIABLE_1081)))))))))) (let ((_let_41 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.disjoint (lambda ((BOUND_VARIABLE_1108 $$unsorted) (BOUND_VARIABLE_1109 $$unsorted)) (forall ((X $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1108)) (not (tptp.member X BOUND_VARIABLE_1109)))))))))) (let ((_let_42 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_41 _let_40 _let_39) :args ((forall ((A $$unsorted) (E $$unsorted)) (= (tptp.partition A E) (and (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.subset X E))) (forall ((X $$unsorted)) (or (not (tptp.member X E)) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y A)) (not (tptp.member X Y))))))) (forall ((X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_963 $$unsorted)) (or (not (tptp.member X A)) (not (tptp.member Y A)) (= X Y) (not (tptp.member BOUND_VARIABLE_963 X)) (not (tptp.member BOUND_VARIABLE_963 Y))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.partition (lambda ((BOUND_VARIABLE_1150 $$unsorted) (BOUND_VARIABLE_1151 $$unsorted)) (and (forall ((X $$unsorted) (BOUND_VARIABLE_1136 $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1150)) (not (tptp.member BOUND_VARIABLE_1136 X)) (tptp.member BOUND_VARIABLE_1136 BOUND_VARIABLE_1151))) (forall ((X $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1151)) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y BOUND_VARIABLE_1150)) (not (tptp.member X Y))))))) (forall ((X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_963 $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1150)) (not (tptp.member Y BOUND_VARIABLE_1150)) (= X Y) (not (tptp.member BOUND_VARIABLE_963 X)) (not (tptp.member BOUND_VARIABLE_963 Y))))))))))) (let ((_let_43 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.equivalence (lambda ((BOUND_VARIABLE_1179 $$unsorted) (BOUND_VARIABLE_1180 $$unsorted)) (and (forall ((X $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1180)) (tptp.apply BOUND_VARIABLE_1179 X X))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1180)) (not (tptp.member Y BOUND_VARIABLE_1180)) (not (tptp.apply BOUND_VARIABLE_1179 X Y)) (tptp.apply BOUND_VARIABLE_1179 Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1180)) (not (tptp.member Y BOUND_VARIABLE_1180)) (not (tptp.member Z BOUND_VARIABLE_1180)) (not (tptp.apply BOUND_VARIABLE_1179 X Y)) (not (tptp.apply BOUND_VARIABLE_1179 Y Z)) (tptp.apply BOUND_VARIABLE_1179 X Z)))))))))) (let ((_let_44 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.pre_order (lambda ((BOUND_VARIABLE_1215 $$unsorted) (BOUND_VARIABLE_1216 $$unsorted)) (and (forall ((X $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1216)) (tptp.apply BOUND_VARIABLE_1215 X X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1216)) (not (tptp.member Y BOUND_VARIABLE_1216)) (not (tptp.member Z BOUND_VARIABLE_1216)) (not (tptp.apply BOUND_VARIABLE_1215 X Y)) (not (tptp.apply BOUND_VARIABLE_1215 Y Z)) (tptp.apply BOUND_VARIABLE_1215 X Z)))))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (AND_INTRO (TRUST_SUBS_EQ (ASSUME :args (_let_3)) :args ((= tptp.insertIntoMember (lambda ((BOUND_VARIABLE_1314 $$unsorted) (BOUND_VARIABLE_1315 $$unsorted) (BOUND_VARIABLE_1316 $$unsorted)) (tptp.union (tptp.union BOUND_VARIABLE_1315 (tptp.singleton BOUND_VARIABLE_1314)) (tptp.difference BOUND_VARIABLE_1316 (tptp.singleton BOUND_VARIABLE_1315))))))) (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_44 _let_43 _let_42 _let_41 _let_40 _let_39) :args ((forall ((X $$unsorted)) (= (tptp.non_overlapping X) (not (forall ((U $$unsorted)) (not (tptp.partition X U)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.non_overlapping (lambda ((BOUND_VARIABLE_1286 $$unsorted)) (and (forall ((X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_963 $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1286)) (not (tptp.member Y BOUND_VARIABLE_1286)) (= X Y) (not (tptp.member BOUND_VARIABLE_963 X)) (not (tptp.member BOUND_VARIABLE_963 Y)))) (not (forall ((U $$unsorted)) (or (not (forall ((X $$unsorted) (BOUND_VARIABLE_1136 $$unsorted)) (or (not (tptp.member X BOUND_VARIABLE_1286)) (not (tptp.member BOUND_VARIABLE_1136 X)) (tptp.member BOUND_VARIABLE_1136 U)))) (not (forall ((X $$unsorted)) (or (not (tptp.member X U)) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y BOUND_VARIABLE_1286)) (not (tptp.member X Y)))))))))))))))) _let_44 _let_43 _let_42 _let_41 _let_40 _let_39) :args ((not (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.subset P Q)) (not (tptp.non_overlapping Q)) (tptp.non_overlapping P)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_46 (or))) (let ((_let_47 (not _let_37))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_45) :args (_let_47)) (REWRITE :args ((=> _let_47 (not (or _let_35 _let_34 (and (or _let_22 _let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_15 _let_17) _let_28) _let_26 _let_25))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_37))) (REFL :args (_let_38)) :args _let_46)) _let_45 :args (_let_38 true _let_37)))) (let ((_let_49 (REFL :args (_let_36)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_24))) :args _let_46)) :args ((or _let_24 _let_36))) _let_48 :args (_let_24 true _let_36)))) (let ((_let_51 (_let_24))) (let ((_let_52 ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) (let ((_let_53 (ASSUME :args _let_51))) (let ((_let_54 (not _let_31))) (let ((_let_55 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.unaryUnion SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member X Y))))))))) (let ((_let_56 (not _let_55))) (let ((_let_57 (forall ((X $$unsorted) (BOUND_VARIABLE_1136 $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member BOUND_VARIABLE_1136 X)) (tptp.member BOUND_VARIABLE_1136 (tptp.unaryUnion SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (not _let_59))) (let ((_let_61 (forall ((Y $$unsorted)) (or (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_328 Y)))))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.unaryUnion SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_328 _let_63))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_62))) (let ((_let_67 (forall ((D $$unsorted)) (or (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_328 D)) (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_68 (not _let_67))) (let ((_let_69 (= _let_64 _let_68))) (let ((_let_70 (REFL :args (_let_66)))) (let ((_let_71 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (or (not (tptp.member C D)) (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (tptp.member C (tptp.unaryUnion SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_72 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.unaryUnion A)) (forall ((C $$unsorted)) (= (tptp.member C B) (not (forall ((D $$unsorted)) (or (not (tptp.member C D)) (not (tptp.member D A))))))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_63 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_72)))) _let_73 :args (_let_71 false _let_72)))) (let ((_let_75 (_let_71))) (let ((_let_76 ((tptp.member C _let_63)))) (let ((_let_77 (ASSUME :args _let_75))) (let ((_let_78 (_let_56))) (let ((_let_79 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_324 _let_63))) (let ((_let_80 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_324 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_323))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_323 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81 _let_79))) (let ((_let_85 (forall ((D $$unsorted)) (or (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_324 D)) (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_86 (not _let_85))) (let ((_let_87 (= _let_79 _let_86))) (let ((_let_88 (or _let_81 _let_83))) (let ((_let_89 (REFL :args (_let_84)))) (let ((_let_90 (not _let_87))) (let ((_let_91 (_let_85))) (let ((_let_92 (_let_58))) (let ((_let_93 (_let_27))) (let ((_let_94 (_let_32))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_94) (CONG (REFL :args _let_94) (REFL :args (_let_54)) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_46)) :args ((or _let_27 _let_32 _let_54))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_93) :args (_let_63 QUANTIFIERS_INST_ENUM)) :args _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_56 _let_60))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_92)) :args _let_92)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) (REFL :args ((not _let_84))) :args _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_91) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_323 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_91)) (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_83 _let_81 (not _let_88)))) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_87)) (CONG (REFL :args (_let_90)) (REFL :args (_let_79)) (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_85))) :args _let_46)) :args ((or _let_79 _let_85 _let_90))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_324 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75))) _let_74 :args (_let_87 false _let_71)) (CNF_OR_NEG :args (_let_84 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_84 1)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_46)) :args ((or _let_80 _let_84))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_84 0)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_82))) :args _let_46)) :args ((or _let_82 _let_84))) :args (_let_84 true _let_88 false _let_85 false _let_87 true _let_79 false _let_80 false _let_82)) :args (_let_57 false _let_84)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_78)) :args _let_78)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) (REFL :args ((not _let_66))) :args _let_46)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (TRANS (ALPHA_EQUIV :args (_let_61 (= Y D))) (MACRO_SR_PRED_INTRO :args ((= (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_328 D)))) _let_67) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_69)) :args ((or _let_65 _let_68 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_328 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75))) _let_74 :args (_let_69 false _let_71)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 1)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_46)) :args ((or _let_61 _let_66))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 0)) (CONG _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_46)) :args ((or _let_64 _let_66))) :args (_let_66 true _let_67 false _let_69 false _let_61 false _let_64)) :args (_let_55 false _let_66)) :args (_let_60 false _let_57 false _let_55)) :args (_let_28 true _let_59)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 2)) _let_48 :args ((not _let_32) true _let_36)) :args (_let_54 true _let_27 true _let_32)))) (let ((_let_96 (REFL :args (_let_31)))) (let ((_let_97 (or _let_30 _let_12))) (let ((_let_98 (_let_33))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_15 _let_17 _let_13 _let_19 _let_18 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 4)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_46)) :args ((or _let_16 _let_31))) _let_95 :args (_let_16 true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 3)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_46)) :args ((or _let_14 _let_31))) _let_95 :args (_let_14 true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_98) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_46)) :args ((or _let_33 _let_36))) _let_48 :args (_let_33 true _let_36)) :args (_let_20 false _let_33)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_31 2)) _let_95 :args ((not _let_13) true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_30 _let_12 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_46)) :args ((or _let_29 _let_31))) _let_95 :args (_let_29 true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_97 false _let_24)) :args (_let_12 false _let_29 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_11 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_46)) :args ((or _let_21 _let_31))) _let_95 :args (_let_21 true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_23 false _let_24)) :args (_let_11 false _let_21 false _let_23)) :args (false false _let_16 false _let_14 false _let_20 true _let_13 false _let_12 false _let_11)) :args (_let_10 _let_9 (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))))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.product A)) (forall ((Y $$unsorted)) (=> (tptp.member Y A) (tptp.member X Y))))) _let_8 _let_7 _let_6 (forall ((R $$unsorted) (E $$unsorted) (A $$unsorted) (X $$unsorted)) (= (tptp.member X (tptp.equivalence_class A E R)) (and (tptp.member X E) (tptp.apply R A X)))) _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 145.02/145.25 )
% 145.02/145.25 % SZS output end Proof for SEV522+1
% 145.02/145.25 % cvc5---1.0.5 exiting
% 145.02/145.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------