TSTP Solution File: LAT377+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT377+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 06:04:34 EDT 2023
% Result : Theorem 5.33s 5.51s
% Output : Proof 5.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT377+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n021.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 : Thu Aug 24 10:03:10 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 5.33/5.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.QpvTjPHiLf/cvc5---1.0.5_11020.p...
% 5.33/5.51 ------- get file name : TPTP file name is LAT377+1
% 5.33/5.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11020.smt2...
% 5.33/5.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 5.33/5.51 % SZS status Theorem for LAT377+1
% 5.33/5.51 % SZS output start Proof for LAT377+1
% 5.33/5.51 (
% 5.33/5.51 (let ((_let_1 (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (tptp.r3_yellow20 (tptp.k4_waybel34 A) (tptp.k5_waybel34 A) (tptp.k6_waybel34 A) (tptp.k10_waybel34 A) (tptp.k11_waybel34 A)))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v16_functor0 C A B) (tptp.m2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v2_altcat_1 D) (tptp.v3_altcat_2 D A) (tptp.m1_altcat_2 D A)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v2_altcat_1 E) (tptp.v3_altcat_2 E B) (tptp.m1_altcat_2 E B)) (=> (tptp.r3_yellow20 A B C D E) (tptp.r3_yellow20 B A (tptp.k15_functor0 A B C) E D))))))))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v3_altcat_2 B A) (tptp.m1_altcat_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v2_altcat_1 C))) (let ((_let_2 (not (tptp.v3_struct_0 C)))) (=> (and _let_2 _let_1 (tptp.v3_altcat_2 C B) (tptp.m1_altcat_2 C B)) (and _let_2 _let_1 (tptp.v3_altcat_2 C A) (tptp.m1_altcat_2 C A)))))))))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_waybel34 A))) (let ((_let_2 (tptp.k7_waybel34 A))) (let ((_let_3 (tptp.k4_waybel34 A))) (let ((_let_4 (tptp.k5_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (= (tptp.k15_functor0 _let_3 _let_4 _let_1) _let_2) (= (tptp.k15_functor0 _let_4 _let_3 _let_2) _let_1)))))))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k4_waybel34 A))) (let ((_let_3 (tptp.k6_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (tptp.v6_functor0 _let_3 _let_2 _let_1) (tptp.v8_functor0 _let_3 _let_2 _let_1) (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v11_functor0 _let_3 _let_2 _let_1) (tptp.v12_functor0 _let_3 _let_2 _let_1) (tptp.v14_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.v21_functor0 _let_3 _let_2 _let_1))))))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v2_yellow18 _let_1) (tptp.v3_yellow18 _let_1) (tptp.v4_yellow18 _let_1) (tptp.v1_yellow21 _let_1) (tptp.v2_yellow21 _let_1) (tptp.v3_yellow21 _let_1))))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v2_yellow18 _let_1) (tptp.v3_yellow18 _let_1) (tptp.v4_yellow18 _let_1) (tptp.v1_yellow21 _let_1) (tptp.v2_yellow21 _let_1) (tptp.v3_yellow21 _let_1))))))) (let ((_let_8 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k9_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))))) (let ((_let_9 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (let ((_let_2 (tptp.k8_waybel34 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))))) (let ((_let_10 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k4_waybel34 A))) (let ((_let_3 (tptp.k6_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.m2_functor0 _let_3 _let_2 _let_1))))))))) (let ((_let_11 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v2_yellow21 _let_1) (tptp.l2_altcat_1 _let_1))))))) (let ((_let_12 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v2_yellow21 _let_1) (tptp.l2_altcat_1 _let_1))))))) (let ((_let_13 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_waybel34 A))) (let ((_let_2 (tptp.k11_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v2_altcat_2 _let_2 _let_1) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))))) (let ((_let_14 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_waybel34 A))) (let ((_let_2 (tptp.k10_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v2_altcat_2 _let_2 _let_1) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))))) (let ((_let_15 (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (not (tptp.v1_xboole_0 A)))))) (let ((_let_16 (not (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (tptp.r3_yellow20 (tptp.k5_waybel34 A) (tptp.k4_waybel34 A) (tptp.k7_waybel34 A) (tptp.k11_waybel34 A) (tptp.k10_waybel34 A))))))) (let ((_let_17 (tptp.k11_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.k10_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.k6_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (tptp.k5_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.k4_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (tptp.r3_yellow20 _let_21 _let_20 _let_19 _let_18 _let_17))) (let ((_let_23 (tptp.v3_struct_0 _let_18))) (let ((_let_24 (tptp.v2_altcat_1 _let_18))) (let ((_let_25 (tptp.v3_struct_0 _let_17))) (let ((_let_26 (tptp.v2_altcat_1 _let_17))) (let ((_let_27 (tptp.v16_functor0 _let_19 _let_21 _let_20))) (let ((_let_28 (tptp.m2_functor0 _let_19 _let_21 _let_20))) (let ((_let_29 (tptp.v3_struct_0 _let_21))) (let ((_let_30 (tptp.v2_altcat_1 _let_21))) (let ((_let_31 (tptp.v11_altcat_1 _let_21))) (let ((_let_32 (tptp.v12_altcat_1 _let_21))) (let ((_let_33 (tptp.v3_struct_0 _let_20))) (let ((_let_34 (tptp.v2_altcat_1 _let_20))) (let ((_let_35 (tptp.v11_altcat_1 _let_20))) (let ((_let_36 (tptp.v12_altcat_1 _let_20))) (let ((_let_37 (tptp.v21_functor0 _let_19 _let_21 _let_20))) (let ((_let_38 (tptp.l2_altcat_1 _let_21))) (let ((_let_39 (tptp.l2_altcat_1 _let_20))) (let ((_let_40 (tptp.k15_functor0 _let_21 _let_20 _let_19))) (let ((_let_41 (tptp.r3_yellow20 _let_20 _let_21 _let_40 _let_17 _let_18))) (let ((_let_42 (not _let_22))) (let ((_let_43 (tptp.m1_altcat_2 _let_17 _let_20))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.v3_altcat_2 _let_17 _let_20))) (let ((_let_46 (not _let_45))) (let ((_let_47 (not _let_26))) (let ((_let_48 (tptp.m1_altcat_2 _let_18 _let_21))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.v3_altcat_2 _let_18 _let_21))) (let ((_let_51 (not _let_50))) (let ((_let_52 (not _let_24))) (let ((_let_53 (not _let_37))) (let ((_let_54 (not _let_28))) (let ((_let_55 (not _let_27))) (let ((_let_56 (not _let_39))) (let ((_let_57 (not _let_36))) (let ((_let_58 (not _let_35))) (let ((_let_59 (not _let_34))) (let ((_let_60 (not _let_38))) (let ((_let_61 (not _let_32))) (let ((_let_62 (not _let_31))) (let ((_let_63 (not _let_30))) (let ((_let_64 (or _let_29 _let_63 _let_62 _let_61 _let_60 _let_33 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_23 _let_52 _let_51 _let_49 _let_25 _let_47 _let_46 _let_44 _let_42 _let_41))) (let ((_let_65 (tptp.v2_setfam_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (or _let_65 _let_22))) (let ((_let_67 (forall ((A $$unsorted)) (or (tptp.v2_setfam_1 A) (tptp.r3_yellow20 (tptp.k4_waybel34 A) (tptp.k5_waybel34 A) (tptp.k6_waybel34 A) (tptp.k10_waybel34 A) (tptp.k11_waybel34 A)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (tptp.k7_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_70 (tptp.r3_yellow20 _let_20 _let_21 _let_69 _let_17 _let_18))) (let ((_let_71 (or _let_65 _let_70))) (let ((_let_72 (forall ((A $$unsorted)) (or (tptp.v2_setfam_1 A) (tptp.r3_yellow20 (tptp.k5_waybel34 A) (tptp.k4_waybel34 A) (tptp.k7_waybel34 A) (tptp.k11_waybel34 A) (tptp.k10_waybel34 A)))))) (let ((_let_73 (not _let_71))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (or))) (let ((_let_76 (not _let_72))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_74) :args (_let_76))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_72))) (REFL :args (_let_73)) :args _let_75)) _let_74 :args (_let_73 true _let_72)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_71 0)) _let_77 :args ((not _let_65) true _let_71)))) (let ((_let_79 (tptp.k8_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_80 (tptp.m1_altcat_2 _let_18 _let_79))) (let ((_let_81 (tptp.v3_altcat_2 _let_18 _let_79))) (let ((_let_82 (not _let_23))) (let ((_let_83 (and _let_82 _let_24 (tptp.v6_altcat_1 _let_18) (tptp.v2_altcat_2 _let_18 _let_79) _let_81 _let_80))) (let ((_let_84 (or _let_65 _let_83))) (let ((_let_85 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_waybel34 A))) (let ((_let_2 (tptp.k10_waybel34 A))) (or (tptp.v2_setfam_1 A) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v2_altcat_2 _let_2 _let_1) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_65 _let_83 (not _let_84)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v2_setfam_1 A) true))))) :args (_let_85))) _let_86 :args (_let_84 false _let_85)) :args (_let_83 true _let_65 false _let_84)))) (let ((_let_88 (not _let_83))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_83 0)) :args ((or _let_82 _let_88))) _let_87 :args (_let_82 false _let_83)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_83 1)) :args ((or _let_24 _let_88))) _let_87 :args (_let_24 false _let_83)))) (let ((_let_91 (tptp.k9_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_92 (tptp.m1_altcat_2 _let_17 _let_91))) (let ((_let_93 (tptp.v3_altcat_2 _let_17 _let_91))) (let ((_let_94 (not _let_25))) (let ((_let_95 (and _let_94 _let_26 (tptp.v6_altcat_1 _let_17) (tptp.v2_altcat_2 _let_17 _let_91) _let_93 _let_92))) (let ((_let_96 (or _let_65 _let_95))) (let ((_let_97 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_waybel34 A))) (let ((_let_2 (tptp.k11_waybel34 A))) (or (tptp.v2_setfam_1 A) (and (not (tptp.v3_struct_0 _let_2)) (tptp.v2_altcat_1 _let_2) (tptp.v6_altcat_1 _let_2) (tptp.v2_altcat_2 _let_2 _let_1) (tptp.v3_altcat_2 _let_2 _let_1) (tptp.m1_altcat_2 _let_2 _let_1)))))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_65 _let_95 (not _let_96)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v2_setfam_1 A) true))))) :args (_let_97))) _let_98 :args (_let_96 false _let_97)) :args (_let_95 true _let_65 false _let_96)))) (let ((_let_100 (not _let_95))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_95 0)) :args ((or _let_94 _let_100))) _let_99 :args (_let_94 false _let_95)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_95 1)) :args ((or _let_26 _let_100))) _let_99 :args (_let_26 false _let_95)))) (let ((_let_103 (tptp.v9_functor0 _let_19 _let_21 _let_20))) (let ((_let_104 (and _let_103 _let_27 _let_28))) (let ((_let_105 (or _let_65 _let_104))) (let ((_let_106 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k4_waybel34 A))) (let ((_let_3 (tptp.k6_waybel34 A))) (or (tptp.v2_setfam_1 A) (and (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.m2_functor0 _let_3 _let_2 _let_1))))))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_65 _let_104 (not _let_105)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v2_setfam_1 A) true))))) :args (_let_106))) _let_107 :args (_let_105 false _let_106)) :args (_let_104 true _let_65 false _let_105)))) (let ((_let_109 (not _let_104))) (let ((_let_110 (tptp.v2_yellow21 _let_21))) (let ((_let_111 (tptp.v6_altcat_1 _let_21))) (let ((_let_112 (not _let_29))) (let ((_let_113 (and _let_112 _let_30 _let_111 (tptp.v9_altcat_1 _let_21) _let_31 _let_32 (tptp.v1_altcat_2 _let_21) (tptp.v2_yellow18 _let_21) (tptp.v3_yellow18 _let_21) (tptp.v4_yellow18 _let_21) (tptp.v1_yellow21 _let_21) _let_110 (tptp.v3_yellow21 _let_21)))) (let ((_let_114 (or _let_65 _let_113))) (let ((_let_115 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (or (tptp.v2_setfam_1 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v2_yellow18 _let_1) (tptp.v3_yellow18 _let_1) (tptp.v4_yellow18 _let_1) (tptp.v1_yellow21 _let_1) (tptp.v2_yellow21 _let_1) (tptp.v3_yellow21 _let_1))))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_65 _let_113 (not _let_114)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v2_setfam_1 A) true))))) :args (_let_115))) _let_116 :args (_let_114 false _let_115)) :args (_let_113 true _let_65 false _let_114)))) (let ((_let_118 (not _let_113))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 0)) :args ((or _let_112 _let_118))) _let_117 :args (_let_112 false _let_113)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 1)) :args ((or _let_30 _let_118))) _let_117 :args (_let_30 false _let_113)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 4)) :args ((or _let_31 _let_118))) _let_117 :args (_let_31 false _let_113)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 5)) :args ((or _let_32 _let_118))) _let_117 :args (_let_32 false _let_113)))) (let ((_let_123 (tptp.v2_yellow21 _let_20))) (let ((_let_124 (tptp.v6_altcat_1 _let_20))) (let ((_let_125 (not _let_33))) (let ((_let_126 (and _let_125 _let_34 _let_124 (tptp.v9_altcat_1 _let_20) _let_35 _let_36 (tptp.v1_altcat_2 _let_20) (tptp.v2_yellow18 _let_20) (tptp.v3_yellow18 _let_20) (tptp.v4_yellow18 _let_20) (tptp.v1_yellow21 _let_20) _let_123 (tptp.v3_yellow21 _let_20)))) (let ((_let_127 (or _let_65 _let_126))) (let ((_let_128 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (or (tptp.v2_setfam_1 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v2_yellow18 _let_1) (tptp.v3_yellow18 _let_1) (tptp.v4_yellow18 _let_1) (tptp.v1_yellow21 _let_1) (tptp.v2_yellow21 _let_1) (tptp.v3_yellow21 _let_1))))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_65 _let_126 (not _let_127)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v2_setfam_1 A) true))))) :args (_let_128))) _let_129 :args (_let_127 false _let_128)) :args (_let_126 true _let_65 false _let_127)))) (let ((_let_131 (not _let_126))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_126 0)) :args ((or _let_125 _let_131))) _let_130 :args (_let_125 false _let_126)))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_126 1)) :args ((or _let_34 _let_131))) _let_130 :args (_let_34 false _let_126)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_126 4)) :args ((or _let_35 _let_131))) _let_130 :args (_let_35 false _let_126)))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_126 5)) :args ((or _let_36 _let_131))) _let_130 :args (_let_36 false _let_126)))) (let ((_let_136 (and (tptp.v6_functor0 _let_19 _let_21 _let_20) (tptp.v8_functor0 _let_19 _let_21 _let_20) _let_103 (tptp.v11_functor0 _let_19 _let_21 _let_20) (tptp.v12_functor0 _let_19 _let_21 _let_20) (tptp.v14_functor0 _let_19 _let_21 _let_20) _let_27 _let_37))) (let ((_let_137 (or _let_65 _let_136))) (let ((_let_138 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k4_waybel34 A))) (let ((_let_3 (tptp.k6_waybel34 A))) (or (tptp.v2_setfam_1 A) (and (tptp.v6_functor0 _let_3 _let_2 _let_1) (tptp.v8_functor0 _let_3 _let_2 _let_1) (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v11_functor0 _let_3 _let_2 _let_1) (tptp.v12_functor0 _let_3 _let_2 _let_1) (tptp.v14_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.v21_functor0 _let_3 _let_2 _let_1))))))))) (let ((_let_139 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (and _let_112 _let_30 _let_111 _let_31 _let_32 _let_110 _let_38))) (let ((_let_141 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_142 (or _let_141 _let_140))) (let ((_let_143 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (or (tptp.v1_xboole_0 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v2_yellow21 _let_1) (tptp.l2_altcat_1 _let_1))))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (not _let_141))) (let ((_let_146 (or _let_65 _let_145))) (let ((_let_147 (forall ((A $$unsorted)) (or (tptp.v2_setfam_1 A) (not (tptp.v1_xboole_0 A)))))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_65 _let_145 (not _let_146)))) 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(forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (or (tptp.v1_xboole_0 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v2_yellow21 _let_1) (tptp.l2_altcat_1 _let_1))))))) (let ((_let_154 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_151 6)) :args ((or _let_39 (not _let_151)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_141 _let_151 (not _let_152)))) _let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k5_waybel34 A)))) :args (_let_153))) _let_154 :args (_let_152 false _let_153)) :args (_let_151 true _let_141 false _let_152)) :args (_let_39 false _let_151)))) (let ((_let_156 (= _let_69 _let_40))) (let ((_let_157 (not _let_41))) (let ((_let_158 (and _let_156 (= _let_19 (tptp.k15_functor0 _let_20 _let_21 _let_69))))) (let ((_let_159 (or _let_65 _let_158))) (let ((_let_160 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_waybel34 A))) (let ((_let_2 (tptp.k4_waybel34 A))) (let ((_let_3 (tptp.k5_waybel34 A))) (let ((_let_4 (tptp.k6_waybel34 A))) (or (tptp.v2_setfam_1 A) (and (= _let_1 (tptp.k15_functor0 _let_2 _let_3 _let_4)) (= _let_4 (tptp.k15_functor0 _let_3 _let_2 _let_1))))))))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (not _let_70))) (let ((_let_163 (and _let_162 _let_156))) (let ((_let_164 (_let_162 _let_156))) (let ((_let_165 (ASSUME :args (_let_162)))) (let ((_let_166 (ASSUME :args (_let_156)))) (let ((_let_167 (forall ((A $$unsorted) (BOUND_VARIABLE_4156 $$unsorted) (BOUND_VARIABLE_4154 $$unsorted) (BOUND_VARIABLE_4152 $$unsorted) (BOUND_VARIABLE_4150 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_altcat_1 A)) (not (tptp.v11_altcat_1 A)) (not (tptp.v12_altcat_1 A)) (not (tptp.l2_altcat_1 A)) (tptp.v3_struct_0 BOUND_VARIABLE_4150) (not (tptp.v2_altcat_1 BOUND_VARIABLE_4150)) (not (tptp.v11_altcat_1 BOUND_VARIABLE_4150)) (not (tptp.v12_altcat_1 BOUND_VARIABLE_4150)) (not (tptp.l2_altcat_1 BOUND_VARIABLE_4150)) (not (tptp.v16_functor0 BOUND_VARIABLE_4156 A BOUND_VARIABLE_4150)) (not (tptp.m2_functor0 BOUND_VARIABLE_4156 A BOUND_VARIABLE_4150)) (not (tptp.v21_functor0 BOUND_VARIABLE_4156 A BOUND_VARIABLE_4150)) (tptp.v3_struct_0 BOUND_VARIABLE_4152) (not (tptp.v2_altcat_1 BOUND_VARIABLE_4152)) (not (tptp.v3_altcat_2 BOUND_VARIABLE_4152 A)) (not (tptp.m1_altcat_2 BOUND_VARIABLE_4152 A)) (tptp.v3_struct_0 BOUND_VARIABLE_4154) (not (tptp.v2_altcat_1 BOUND_VARIABLE_4154)) (not (tptp.v3_altcat_2 BOUND_VARIABLE_4154 BOUND_VARIABLE_4150)) (not (tptp.m1_altcat_2 BOUND_VARIABLE_4154 BOUND_VARIABLE_4150)) (not (tptp.r3_yellow20 A BOUND_VARIABLE_4150 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(tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_membered B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_pboole D A) (tptp.m1_pboole E B)) (forall ((F $$unsorted)) (=> (tptp.m1_functor0 F A B C D E) (tptp.v1_funcop_1 F))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (and (tptp.v8_functor0 C A B) (tptp.v12_functor0 C A B)))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.v4_membered A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v12_altcat_1 A))) (let ((_let_2 (tptp.v11_altcat_1 A))) (let ((_let_3 (tptp.v2_altcat_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v3_yellow21 A)) (and _let_4 _let_3 _let_2 _let_1 (tptp.v1_altcat_2 A) (tptp.v2_yellow21 A))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_1 (tptp.v12_altcat_1 A)) (and _let_1 (tptp.v1_altcat_2 A)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) _let_15 (forall ((A $$unsorted)) (let ((_let_1 (tptp.v12_altcat_1 A))) (let ((_let_2 (tptp.v11_altcat_1 A))) (let ((_let_3 (tptp.v2_altcat_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v2_yellow21 A)) (and _let_4 _let_3 (tptp.v9_altcat_1 A) _let_2 _let_1 (tptp.v1_altcat_2 A) (tptp.v2_yellow18 A) (tptp.v3_yellow18 A) (tptp.v4_yellow18 A) (tptp.v1_yellow21 A))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (=> (tptp.l1_functor0 C A B) (=> (tptp.v11_functor0 C A B) (tptp.v6_functor0 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (tptp.v16_functor0 C A B) (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v11_functor0 C A B) (tptp.v12_functor0 C A B) (tptp.v14_functor0 C A B))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (and (tptp.v11_functor0 C A B) (tptp.v14_functor0 C A B)) (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v12_functor0 C A B) (tptp.v16_functor0 C A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v3_yellow18 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v3_yellow18 B)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (tptp.v16_functor0 C A B) (tptp.v6_functor0 C A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow18 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v2_yellow18 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_altcat_1 B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_2 _let_1) (and _let_2 _let_1 (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v1_yellow21 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v2_yellow21 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_altcat_2 B A))) (let ((_let_2 (tptp.v2_altcat_1 B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (tptp.m1_altcat_2 B A) (=> (and _let_3 _let_2 _let_1) (and _let_3 _let_2 (tptp.v9_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) _let_1 (tptp.v2_yellow18 B) (tptp.v3_yellow18 B) (tptp.v4_yellow18 B) (tptp.v1_yellow21 B) (tptp.v2_yellow21 B)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g2_altcat_1 A B C))) (=> (and (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (tptp.m3_pboole C (tptp.k3_zfmisc_1 A A A) (tptp.k3_altcat_1 A B B) (tptp.k2_altcat_1 A B))) (and (tptp.v6_altcat_1 _let_1) (tptp.l2_altcat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_functor0 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.u1_struct_0 A))) (let ((_let_5 (tptp.k2_zfmisc_1 _let_4 _let_4))) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_3) (tptp.m1_relset_1 C _let_5 _let_3) (tptp.m1_functor0 D _let_5 _let_3 C (tptp.u1_altcat_1 A) (tptp.u1_altcat_1 B))) (and (tptp.v9_functor0 _let_1 A B) (tptp.l2_functor0 _let_1 A B))))))))) _let_14 _let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k15_functor0 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.l1_altcat_1 B) (tptp.l2_functor0 C A B)) (and (tptp.v9_functor0 _let_1 B A) (tptp.l2_functor0 _let_1 B A))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (tptp.m1_pboole (tptp.k2_altcat_1 A B) (tptp.k3_zfmisc_1 A A A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_pboole B _let_1) (tptp.m1_pboole C _let_1)) (tptp.m1_pboole (tptp.k3_altcat_1 A B C) (tptp.k3_zfmisc_1 A A A))))) true _let_12 _let_11 _let_10 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (let ((_let_2 (tptp.k5_waybel34 A))) (let ((_let_3 (tptp.k7_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.m2_functor0 _let_3 _let_2 _let_1))))))) _let_9 _let_8 (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (tptp.l1_struct_0 A))) true true (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (tptp.l1_altcat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.l2_functor0 C A B) (tptp.l1_functor0 C A B))))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_altcat_2 B A) (tptp.l2_altcat_1 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_pboole D A) (tptp.m1_pboole E B)) (forall ((F $$unsorted)) (=> (tptp.m1_functor0 F A B C D E) (tptp.m1_pboole F A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_pboole B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_functor0 C A B) (tptp.l2_functor0 C A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (forall ((D $$unsorted)) (=> (tptp.m3_pboole D A B C) (tptp.m1_pboole D A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_altcat_1 A) (tptp.m1_pboole (tptp.u1_altcat_1 A) (tptp.k2_zfmisc_1 _let_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k2_zfmisc_1 _let_3 _let_3))) (let ((_let_5 (tptp.u1_functor0 A B C))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.l1_functor0 C A B)) (and (tptp.v1_funct_1 _let_5) (tptp.v1_funct_2 _let_5 _let_4 _let_2) (tptp.m2_relset_1 _let_5 _let_4 _let_2))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_altcat_1 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.l2_altcat_1 A) (tptp.m3_pboole (tptp.u2_altcat_1 A) (tptp.k3_zfmisc_1 _let_2 _let_2 _let_2) (tptp.k3_altcat_1 _let_2 _let_1 _let_1) (tptp.k2_altcat_1 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.l2_functor0 C A B)) (tptp.m1_functor0 (tptp.u2_functor0 A B C) (tptp.k2_zfmisc_1 _let_2 _let_2) (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.u1_functor0 A B C) (tptp.u1_altcat_1 A) (tptp.u1_altcat_1 B)))))) (exists ((A $$unsorted)) (tptp.l1_altcat_1 A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B)) (exists ((C $$unsorted)) (tptp.l1_functor0 C A B)))) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_altcat_1 A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B)) (exists ((C $$unsorted)) (tptp.l2_functor0 C A B)))) (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (exists ((B $$unsorted)) (tptp.m1_altcat_2 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_pboole D A) (tptp.m1_pboole E B)) (exists ((F $$unsorted)) (tptp.m1_functor0 F A B C D E)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_pboole B A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (exists ((C $$unsorted)) (tptp.m2_functor0 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B A) (tptp.m1_pboole C A)) (exists ((D $$unsorted)) (tptp.m3_pboole D A B C)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k10_waybel34 A))) (let ((_let_2 (tptp.k8_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v2_altcat_2 _let_1 _let_2) (tptp.v3_altcat_2 _let_1 _let_2) (tptp.v2_yellow18 _let_1) (tptp.v3_yellow18 _let_1) (tptp.v4_yellow18 _let_1) (tptp.v1_yellow21 _let_1) (tptp.v2_yellow21 _let_1) (tptp.v3_yellow21 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 A B C)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) _let_7 (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) _let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u2_functor0 A B C))) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.l2_functor0 C A B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funcop_1 _let_1))))) _let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (let ((_let_2 (tptp.k5_waybel34 A))) (let ((_let_3 (tptp.k7_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (tptp.v6_functor0 _let_3 _let_2 _let_1) (tptp.v8_functor0 _let_3 _let_2 _let_1) (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v11_functor0 _let_3 _let_2 _let_1) (tptp.v12_functor0 _let_3 _let_2 _let_1) (tptp.v14_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.v21_functor0 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_pboole B (tptp.k2_zfmisc_1 A A)) (tptp.m3_pboole C (tptp.k3_zfmisc_1 A A A) (tptp.k3_altcat_1 A B B) (tptp.k2_altcat_1 A B))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g2_altcat_1 A B C) (tptp.g2_altcat_1 D E F)) (and (= A D) (= B E) (= C F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k2_zfmisc_1 _let_3 _let_3))) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 _let_2) (tptp.m1_relset_1 C _let_4 _let_2) (tptp.m1_functor0 D _let_4 _let_2 C (tptp.u1_altcat_1 A) (tptp.u1_altcat_1 B))) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g2_functor0 A B C D) (tptp.g2_functor0 E F G H)) (and (= A E) (= B F) (= C G) (= D H)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_altcat_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v6_altcat_1 B) (tptp.v11_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) (tptp.v2_altcat_2 B A) (tptp.v3_altcat_2 B A))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v6_altcat_1 A) (tptp.v9_altcat_1 A) (tptp.v11_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_altcat_2 A) (tptp.v2_yellow18 A) (tptp.v3_yellow18 A) (tptp.v4_yellow18 A) (tptp.v1_yellow21 A) (tptp.v2_yellow21 A) (tptp.v3_yellow21 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (not (tptp.v2_setfam_1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B)) (exists ((C $$unsorted)) (and (tptp.l2_functor0 C A B) (tptp.v9_functor0 C A B))))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B)) (exists ((C $$unsorted)) (and (tptp.l2_functor0 C A B) (tptp.v11_functor0 C A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_altcat_2 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B)) (exists ((C $$unsorted)) (and (tptp.l2_functor0 C A B) (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (exists ((C $$unsorted)) (and (tptp.l2_functor0 C A B) (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v9_functor0 C A B) (tptp.v12_functor0 C A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 5.37/5.54 )
% 5.37/5.54 % SZS output end Proof for LAT377+1
% 5.37/5.54 % cvc5---1.0.5 exiting
% 5.37/5.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------