TSTP Solution File: SET772+4 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET772+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 14:40:16 EDT 2023
% Result : Theorem 0.20s 0.60s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET772+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n015.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 : Sat Aug 26 12:33:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.60 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JEg86S8DBe/cvc5---1.0.5_17748.p...
% 0.20/0.60 ------- get file name : TPTP file name is SET772+4
% 0.20/0.60 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17748.smt2...
% 0.20/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.60 % SZS status Theorem for SET772+4
% 0.20/0.60 % SZS output start Proof for SET772+4
% 0.20/0.60 (
% 0.20/0.60 (let ((_let_1 (not (forall ((A $$unsorted) (E $$unsorted) (R $$unsorted)) (=> (tptp.partition A E) (=> (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.member X E) (tptp.member Y E)) (= (tptp.apply R X Y) (exists ((Z $$unsorted)) (and (tptp.member Z A) (tptp.member X Z) (tptp.member Y Z)))))) (tptp.equivalence R E))))))) (let ((_let_2 (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_3 (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_4 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_5 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_9 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_10 (not _let_9))) (let ((_let_11 (not _let_4))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_10))) (let ((_let_15 (forall ((Z $$unsorted)) (or (not (tptp.member Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Z)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Z)))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (not _let_15))) (let ((_let_18 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_19))) (let ((_let_25 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X Y) (not (forall ((Z $$unsorted)) (or (not (tptp.member Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member X Z)) (not (tptp.member Y Z)))))))))) (let ((_let_26 (tptp.equivalence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (not _let_25))) (let ((_let_28 (tptp.partition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27 _let_26))) (let ((_let_31 (forall ((A $$unsorted) (E $$unsorted) (R $$unsorted)) (or (not (tptp.partition A E)) (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X E)) (not (tptp.member Y E)) (= (tptp.apply R X Y) (not (forall ((Z $$unsorted)) (or (not (tptp.member Z A)) (not (tptp.member X Z)) (not (tptp.member Y Z))))))))) (tptp.equivalence R E))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (or))) (let ((_let_35 (not _let_31))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_33) :args (_let_35))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_31))) (REFL :args (_let_32)) :args _let_34)) _let_33 :args (_let_32 true _let_31)))) (let ((_let_37 (REFL :args (_let_30)))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 1)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_25))) :args _let_34)) :args ((or _let_25 _let_30))) _let_36 :args (_let_25 true _let_30)))) (let ((_let_39 (_let_25))) (let ((_let_40 ((tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X Y)))) (let ((_let_41 (ASSUME :args _let_39))) (let ((_let_42 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_43 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_44 (not _let_43))) (let ((_let_45 (not _let_18))) (let ((_let_46 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_23 _let_21 _let_47 _let_45 _let_44 _let_42))) (let ((_let_49 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.member Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X Y)) (not (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y Z)) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X Z))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X Y)) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y X))))) (let ((_let_52 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X X))))) (let ((_let_53 (and _let_52 _let_51 _let_49))) (let ((_let_54 (not _let_49))) (let ((_let_55 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_56 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59 _let_57 _let_55))) (let ((_let_63 (forall ((Z $$unsorted)) (or (not (tptp.member Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Z)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Z)))))) (let ((_let_64 (not _let_63))) (let ((_let_65 (= _let_56 _let_64))) (let ((_let_66 (or _let_61 _let_59 _let_65))) (let ((_let_67 (forall ((Z $$unsorted)) (or (not (tptp.member Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Z)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Z)))))) (let ((_let_68 (not _let_67))) (let ((_let_69 (= _let_55 _let_68))) (let ((_let_70 (or _let_59 _let_61 _let_69))) (let ((_let_71 (REFL :args (_let_62)))) (let ((_let_72 (not _let_69))) (let ((_let_73 (not _let_51))) (let ((_let_74 (_let_73))) (let ((_let_75 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_76 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75))) (let ((_let_79 (forall ((Z $$unsorted)) (or (not (tptp.member Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 Z)))))) (let ((_let_80 (not _let_79))) (let ((_let_81 (= _let_75 _let_80))) (let ((_let_82 (or _let_77 _let_77 _let_81))) (let ((_let_83 (forall ((Y $$unsorted)) (or (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 Y)))))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_77 _let_84))) (let ((_let_86 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member X Y))))))))) (let ((_let_87 (forall ((X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_937 $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (= X Y) (not (tptp.member BOUND_VARIABLE_937 X)) (not (tptp.member BOUND_VARIABLE_937 Y)))))) (let ((_let_88 (and (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.subset X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) _let_86 _let_87))) (let ((_let_89 (= _let_28 _let_88))) (let ((_let_90 (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 $$unsorted) (BOUND_VARIABLE_937 $$unsorted)) (or (not (tptp.member X A)) (not (tptp.member Y A)) (= X Y) (not (tptp.member BOUND_VARIABLE_937 X)) (not (tptp.member BOUND_VARIABLE_937 Y))))))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_89)) :args ((or _let_29 _let_88 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_34)) :args ((or _let_28 _let_30))) _let_36 :args (_let_28 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.partition A E)))) :args (_let_90))) _let_91 :args (_let_89 false _let_90)) :args (_let_88 false _let_28 false _let_89)))) (let ((_let_93 (not _let_88))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_88 1)) :args ((or _let_86 _let_93))) _let_92 :args (_let_86 false _let_88)))) (let ((_let_95 (_let_86))) (let ((_let_96 ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) false))))) (let ((_let_97 (ASSUME :args _let_95))) (let ((_let_98 (not _let_81))) (let ((_let_99 (not _let_52))) (let ((_let_100 (_let_99))) (let ((_let_101 (= _let_26 _let_53))) (let ((_let_102 (not _let_53))) (let ((_let_103 (forall ((A $$unsorted) (R $$unsorted)) (= (tptp.equivalence R A) (and (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.apply R X X))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X A)) (not (tptp.member Y A)) (not (tptp.apply R X Y)) (tptp.apply R Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X A)) (not (tptp.member Y A)) (not (tptp.member Z A)) (not (tptp.apply R X Y)) (not (tptp.apply R Y Z)) (tptp.apply R X Z)))))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_54))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_105)) :args _let_105)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_49))) (REFL :args (_let_50)) :args _let_34)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_101)) :args ((or _let_26 _let_102 (not _let_101)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 2)) _let_36 :args ((not _let_26) true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equivalence R A)))) :args (_let_103))) _let_104 :args (_let_101 false _let_103)) :args (_let_102 true _let_26 false _let_101)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_100)) :args _let_100)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_52))) (REFL :args ((not _let_78))) :args _let_34)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_79 (= Z Y)))) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_81)) (CONG (REFL :args (_let_98)) (REFL :args (_let_75)) (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_79))) :args _let_34)) :args ((or _let_75 _let_79 _let_98))) (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_77 _let_84 (not _let_85)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_85 false _let_86)) (REORDERING (FACTORING (CNF_OR_POS :args (_let_82))) :args ((or _let_77 _let_81 (not _let_82)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39))) _let_38 :args (_let_82 false _let_25)) (CNF_OR_NEG :args (_let_78 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 0)) (CONG (REFL :args (_let_78)) (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_76))) :args _let_34)) :args ((or _let_76 _let_78))) :args (_let_78 false _let_79 true _let_83 false _let_85 false _let_81 false _let_82 true _let_75 false _let_76)) :args (_let_52 false _let_78)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_51))) (REFL :args ((not _let_62))) :args _let_34)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (MACRO_SR_PRED_INTRO :args ((= _let_63 _let_67) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE))) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_69)) (CONG (REFL :args (_let_72)) (REFL :args (_let_55)) (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) :args _let_34)) :args ((or _let_55 _let_67 _let_72))) (REORDERING (CNF_EQUIV_POS1 :args (_let_65)) :args ((or _let_57 _let_64 (not _let_65)))) (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_61 _let_59 _let_69 (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_70 false _let_25)) (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_61 _let_59 _let_65 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_66 false _let_25)) (CNF_OR_NEG :args (_let_62 3)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 2)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_34)) :args ((or _let_56 _let_62))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 1)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_34)) :args ((or _let_58 _let_62))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 0)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_34)) :args ((or _let_60 _let_62))) :args (_let_62 false _let_67 true _let_63 false _let_69 false _let_70 false _let_65 false _let_66 true _let_55 false _let_56 false _let_58 false _let_60)) :args (_let_51 false _let_62)) :args (_let_54 true _let_53 false _let_52 false _let_51)) :args (_let_50 true _let_49)))) (let ((_let_107 (REFL :args (_let_48)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_34)) :args ((or _let_20 _let_48))) _let_106 :args (_let_20 true _let_48)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 0)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_34)) :args ((or _let_22 _let_48))) _let_106 :args (_let_22 true _let_48)))) (let ((_let_110 (_let_17))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_110)) :args _let_110)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_15))) (REFL :args (_let_16)) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_19)) :args ((or _let_45 _let_17 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 3)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_18))) :args _let_34)) :args ((or _let_18 _let_48))) _let_106 :args (_let_18 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 _let_19 (not _let_24)))) _let_109 _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_24 false _let_25)) :args (_let_19 false _let_22 false _let_20 false _let_24)) :args (_let_17 false _let_18 false _let_19)) :args (_let_16 true _let_15)))) (let ((_let_112 (REFL :args (_let_14)))) (let ((_let_113 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_114 (not _let_113))) (let ((_let_115 (not _let_5))) (let ((_let_116 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_115 _let_114))) (let ((_let_119 (forall ((Z $$unsorted)) (or (not (tptp.member Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Z)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Z)))))) (let ((_let_120 (not _let_119))) (let ((_let_121 (= _let_42 _let_120))) (let ((_let_122 (or _let_23 _let_47 _let_121))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 2)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_34)) :args ((or _let_46 _let_48))) _let_106 :args (_let_46 true _let_48)))) (let ((_let_124 (not _let_121))) (let ((_let_125 (_let_119))) (let ((_let_126 (or _let_117 _let_114))) (let ((_let_127 (forall ((Y $$unsorted)) (or (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Y)))))) (let ((_let_128 (not _let_126))) (let ((_let_129 (not _let_127))) (let ((_let_130 (or _let_47 _let_129))) (let ((_let_131 (_let_129))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_131)) :args _let_131)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_129) _let_127))) (REFL :args (_let_128)) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_47 _let_129 (not _let_130)))) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_130 false _let_86)) :args (_let_129 false _let_46 false _let_130)) :args (_let_128 true _let_127)))) (let ((_let_133 (REFL :args (_let_126)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_126 1)) (CONG _let_133 (MACRO_SR_PRED_INTRO :args ((= (not _let_114) _let_113))) :args _let_34)) :args ((or _let_113 _let_126))) _let_132 :args (_let_113 true _let_126)))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_126 0)) (CONG _let_133 (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_116))) :args _let_34)) :args ((or _let_116 _let_126))) _let_132 :args (_let_116 true _let_126)))) (let ((_let_136 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_137 (not _let_136))) (let ((_let_138 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_13 _let_139 _let_6 _let_10 _let_137))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_88 2)) :args ((or _let_87 _let_93))) _let_92 :args (_let_87 false _let_88)))) (let ((_let_142 (_let_87))) (let ((_let_143 (not (= (tptp.member BOUND_VARIABLE_937 X) false)))) (let ((_let_144 ((not (= (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false)) _let_143))) (let ((_let_145 (ASSUME :args _let_142))) (let ((_let_146 (or _let_139 _let_137))) (let ((_let_147 (forall ((Y $$unsorted)) (or (not (tptp.member Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Y)))))) (let ((_let_148 (not _let_146))) (let ((_let_149 (not _let_147))) (let ((_let_150 (or _let_21 _let_149))) (let ((_let_151 (_let_149))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_151)) :args _let_151)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_149) _let_147))) (REFL :args (_let_148)) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_21 _let_149 (not _let_150)))) _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_150 false _let_86)) :args (_let_149 false _let_20 false _let_150)) :args (_let_148 true _let_147)))) (let ((_let_153 (REFL :args (_let_146)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_146 1)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_137) _let_136))) :args _let_34)) :args ((or _let_136 _let_146))) _let_152 :args (_let_136 true _let_146)))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_146 0)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_139) _let_138))) :args _let_34)) :args ((or _let_138 _let_146))) _let_152 :args (_let_138 true _let_146)))) (let ((_let_156 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_157 (not _let_156))) (let ((_let_158 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_159 (not _let_158))) (let ((_let_160 (or _let_117 _let_159 _let_7 _let_114 _let_157))) (let ((_let_161 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_162 (not _let_161))) (let ((_let_163 (or _let_159 _let_162 _let_157))) (let ((_let_164 (forall ((Z $$unsorted)) (or (not (tptp.member Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Z)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Z)))))) (let ((_let_165 (not _let_163))) (let ((_let_166 (not _let_164))) (let ((_let_167 (= _let_43 _let_166))) (let ((_let_168 (or _let_21 _let_47 _let_167))) (let ((_let_169 (_let_166))) (let ((_let_170 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_169)) :args _let_169)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_166) _let_164))) (REFL :args (_let_165)) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_167)) :args ((or _let_44 _let_166 (not _let_167)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 4)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_34)) :args ((or _let_43 _let_48))) _let_106 :args (_let_43 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_168)) :args ((or _let_21 _let_47 _let_167 (not _let_168)))) _let_108 _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_168 false _let_25)) :args (_let_167 false _let_20 false _let_46 false _let_168)) :args (_let_166 false _let_43 false _let_167)) :args (_let_165 true _let_164)))) (let ((_let_171 (REFL :args (_let_163)))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_163 0)) (CONG _let_171 (MACRO_SR_PRED_INTRO :args ((= (not _let_159) _let_158))) :args _let_34)) :args ((or _let_158 _let_163))) _let_170 :args (_let_158 true _let_163)))) (let ((_let_173 (or _let_159 _let_139 _let_8 _let_162 _let_137))) (let ((_let_174 (ASSUME :args (_let_4)))) (let ((_let_175 (APPLY_UF tptp.member))) (let ((_let_176 (ASSUME :args (_let_6)))) (let ((_let_177 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_178 (ASSUME :args (_let_8)))) (let ((_let_179 (ASSUME :args (_let_7)))) (let ((_let_180 (ASSUME :args (_let_115)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_174 _let_176 _let_178 _let_179 _let_180) :args (_let_4 _let_115 _let_6 _let_7 _let_8)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_180)) (CONG _let_177 (TRANS (SYMM (SYMM _let_179)) (SYMM _let_178)) :args _let_175) (CONG _let_177 (SYMM (SYMM _let_176)) :args _let_175) (TRUE_INTRO _let_174))) :args (_let_4 _let_6 _let_8 _let_7 _let_115)) :args ((not (and _let_4 _let_115 _let_6 _let_7 _let_8)) SB_LITERAL))) (CONG (REFL :args (_let_11)) (MACRO_SR_PRED_INTRO :args ((= (not _let_115) _let_5))) (REFL :args ((not _let_6))) (REFL :args ((not _let_7))) (REFL :args ((not _let_8))) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_139 _let_137 _let_159 _let_162 _let_8 (not _let_173)))) _let_155 _let_154 _let_172 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_163 1)) (CONG _let_171 (MACRO_SR_PRED_INTRO :args ((= (not _let_162) _let_161))) :args _let_34)) :args ((or _let_161 _let_163))) _let_170 :args (_let_161 true _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member BOUND_VARIABLE_937 Y) false)) _let_143))) :args _let_142))) _let_141 :args (_let_173 false _let_87)) :args (_let_8 false _let_138 false _let_136 false _let_158 false _let_161 false _let_173)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_117 _let_114 _let_159 _let_157 _let_7 (not _let_160)))) _let_135 _let_134 _let_172 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_163 2)) (CONG _let_171 (MACRO_SR_PRED_INTRO :args ((= (not _let_157) _let_156))) :args _let_34)) :args ((or _let_156 _let_163))) _let_170 :args (_let_156 true _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING _let_144)) :args _let_142)) _let_141 :args (_let_160 false _let_87)) :args (_let_7 false _let_116 false _let_113 false _let_158 false _let_156 false _let_160)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_139 _let_137 _let_13 _let_10 _let_6 (not _let_140)))) _let_155 _let_154 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_34)) :args ((or _let_12 _let_14))) _let_111 :args (_let_12 true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 2)) (CONG _let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_34)) :args ((or _let_9 _let_14))) _let_111 :args (_let_9 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_144)) :args _let_142))) _let_141 :args (_let_140 false _let_87)) :args (_let_6 false _let_138 false _let_136 false _let_12 false _let_9 false _let_140)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_117 _let_114 _let_115 (not _let_118)))) _let_135 _let_134 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_125) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_125)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_121)) (CONG (REFL :args (_let_124)) (REFL :args (_let_42)) (MACRO_SR_PRED_INTRO :args ((= (not _let_120) _let_119))) :args _let_34)) :args ((or _let_42 _let_119 _let_124))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 5)) _let_106 :args ((not _let_42) true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_23 _let_47 _let_121 (not _let_122)))) _let_109 _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_122 false _let_25)) :args (_let_121 false _let_22 false _let_46 false _let_122)) :args (_let_119 true _let_42 false _let_121)) :args (_let_118 false _let_119)) :args (_let_115 false _let_116 false _let_113 false _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG _let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_4))) :args _let_34)) :args ((or _let_4 _let_14))) _let_111 :args (_let_4 true _let_14)) :args (false false _let_8 false _let_7 false _let_6 true _let_5 false _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.equal_set A B) (and (tptp.subset A B) (tptp.subset B A)))) (forall ((X $$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))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (not (exists ((X $$unsorted)) (and (tptp.member X A) (tptp.member X B)))))) _let_3 _let_2 (forall ((R $$unsorted) (E $$unsorted) (A $$unsorted) (X $$unsorted)) (= (tptp.member X (tptp.equivalence_class A E R)) (and (tptp.member X E) (tptp.apply R A X)))) (forall ((R $$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_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.61 )
% 0.20/0.61 % SZS output end Proof for SET772+4
% 0.20/0.61 % cvc5---1.0.5 exiting
% 0.20/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------