TSTP Solution File: LAT361+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 06:04:24 EDT 2023
% Result : Theorem 1.08s 1.26s
% Output : Proof 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 07:34:26 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 1.08/1.26 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ITDq3B2CjT/cvc5---1.0.5_11702.p...
% 1.08/1.26 ------- get file name : TPTP file name is LAT361+1
% 1.08/1.26 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11702.smt2...
% 1.08/1.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.08/1.26 % SZS status Theorem for LAT361+1
% 1.08/1.26 % SZS output start Proof for LAT361+1
% 1.08/1.26 (
% 1.08/1.26 (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.v1_altcat_2 A) (tptp.l2_altcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.v1_altcat_2 B) (tptp.l2_altcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v8_functor0 C A B) (tptp.l2_functor0 C A B)) (=> (tptp.v21_functor0 C A B) (forall ((D $$unsorted)) (=> (and (tptp.v8_functor0 D B A) (tptp.l2_functor0 D B A)) (=> (= (tptp.g2_functor0 B A (tptp.u1_functor0 B A D) (tptp.u2_functor0 B A D)) (tptp.k15_functor0 A B C)) (= (tptp.k13_functor0 B A B D C) (tptp.k12_functor0 B)))))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_waybel34 A))) (let ((_let_2 (tptp.k7_waybel34 A))) (let ((_let_3 (tptp.k4_waybel34 A))) (let ((_let_4 (tptp.k5_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (= (tptp.k15_functor0 _let_3 _let_4 _let_1) _let_2) (= (tptp.k15_functor0 _let_4 _let_3 _let_2) _let_1)))))))))) (let ((_let_3 (forall ((A $$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))))))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k4_waybel34 A))) (let ((_let_3 (tptp.k6_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (tptp.v6_functor0 _let_3 _let_2 _let_1) (tptp.v8_functor0 _let_3 _let_2 _let_1) (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v11_functor0 _let_3 _let_2 _let_1) (tptp.v12_functor0 _let_3 _let_2 _let_1) (tptp.v14_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.v21_functor0 _let_3 _let_2 _let_1))))))))) (let ((_let_5 (forall ((A $$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_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v9_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v1_altcat_2 _let_1) (tptp.v2_yellow18 _let_1) (tptp.v3_yellow18 _let_1) (tptp.v4_yellow18 _let_1) (tptp.v1_yellow21 _let_1) (tptp.v2_yellow21 _let_1) (tptp.v3_yellow21 _let_1))))))) (let ((_let_7 (forall ((A $$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))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.l2_altcat_1 A) (tptp.l1_altcat_1 A))))) (let ((_let_9 (forall ((A $$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 ((_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)) (=> (not (tptp.v2_setfam_1 A)) (not (tptp.v1_xboole_0 A)))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.l2_functor0 C A B)) (=> (tptp.v9_functor0 C A B) (= C (tptp.g2_functor0 A B (tptp.u1_functor0 A B C) (tptp.u2_functor0 A B C)))))))) (let ((_let_15 (not (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (let ((_let_2 (tptp.k7_waybel34 A))) (let ((_let_3 (tptp.k6_waybel34 A))) (let ((_let_4 (tptp.k5_waybel34 A))) (=> (not (tptp.v2_setfam_1 A)) (and (= (tptp.k13_functor0 _let_4 _let_1 _let_4 _let_2 _let_3) (tptp.k12_functor0 _let_4)) (= (tptp.k13_functor0 _let_1 _let_4 _let_1 _let_3 _let_2) (tptp.k12_functor0 _let_1)))))))))))) (let ((_let_16 (tptp.k4_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.k7_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.k6_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.k5_waybel34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (= (tptp.k13_functor0 _let_16 _let_19 _let_16 _let_18 _let_17) (tptp.k12_functor0 _let_16)))) (let ((_let_21 (= (tptp.k13_functor0 _let_19 _let_16 _let_19 _let_17 _let_18) (tptp.k12_functor0 _let_19)))) (let ((_let_22 (and _let_21 _let_20))) (let ((_let_23 (tptp.v2_setfam_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (or _let_23 _let_22))) (let ((_let_25 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (let ((_let_2 (tptp.k7_waybel34 A))) (let ((_let_3 (tptp.k6_waybel34 A))) (let ((_let_4 (tptp.k5_waybel34 A))) (or (tptp.v2_setfam_1 A) (and (= (tptp.k13_functor0 _let_4 _let_1 _let_4 _let_2 _let_3) (tptp.k12_functor0 _let_4)) (= (tptp.k13_functor0 _let_1 _let_4 _let_1 _let_3 _let_2) (tptp.k12_functor0 _let_1))))))))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (not _let_25))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_27) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_25))) (REFL :args (_let_26)) :args (or))) _let_27 :args (_let_26 true _let_25)))) (let ((_let_30 (tptp.g2_functor0 _let_19 _let_16 (tptp.u1_functor0 _let_19 _let_16 _let_17) (tptp.u2_functor0 _let_19 _let_16 _let_17)))) (let ((_let_31 (tptp.k15_functor0 _let_16 _let_19 _let_18))) (let ((_let_32 (= _let_31 _let_30))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.l2_functor0 _let_17 _let_19 _let_16))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.v8_functor0 _let_17 _let_19 _let_16))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.v21_functor0 _let_18 _let_16 _let_19))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.l2_functor0 _let_18 _let_16 _let_19))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.v8_functor0 _let_18 _let_16 _let_19))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.l2_altcat_1 _let_19))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.v1_altcat_2 _let_19))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.v12_altcat_1 _let_19))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.v2_altcat_1 _let_19))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.v3_struct_0 _let_19))) (let ((_let_53 (tptp.l2_altcat_1 _let_16))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.v1_altcat_2 _let_16))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.v12_altcat_1 _let_16))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.v2_altcat_1 _let_16))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.v3_struct_0 _let_16))) (let ((_let_62 (or _let_61 _let_60 _let_58 _let_56 _let_54 _let_52 _let_51 _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_35 _let_33 _let_21))) (let ((_let_63 (forall ((A $$unsorted) (BOUND_VARIABLE_4151 $$unsorted) (BOUND_VARIABLE_4149 $$unsorted) (BOUND_VARIABLE_4147 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_altcat_1 A)) (not (tptp.v12_altcat_1 A)) (not (tptp.v1_altcat_2 A)) (not (tptp.l2_altcat_1 A)) (tptp.v3_struct_0 BOUND_VARIABLE_4147) (not (tptp.v2_altcat_1 BOUND_VARIABLE_4147)) (not (tptp.v12_altcat_1 BOUND_VARIABLE_4147)) (not (tptp.v1_altcat_2 BOUND_VARIABLE_4147)) (not (tptp.l2_altcat_1 BOUND_VARIABLE_4147)) (not (tptp.v8_functor0 BOUND_VARIABLE_4151 A BOUND_VARIABLE_4147)) (not (tptp.l2_functor0 BOUND_VARIABLE_4151 A BOUND_VARIABLE_4147)) (not (tptp.v21_functor0 BOUND_VARIABLE_4151 A BOUND_VARIABLE_4147)) (not (tptp.v8_functor0 BOUND_VARIABLE_4149 BOUND_VARIABLE_4147 A)) (not (tptp.l2_functor0 BOUND_VARIABLE_4149 BOUND_VARIABLE_4147 A)) (not (= (tptp.k15_functor0 A BOUND_VARIABLE_4147 BOUND_VARIABLE_4151) (tptp.g2_functor0 BOUND_VARIABLE_4147 A (tptp.u1_functor0 BOUND_VARIABLE_4147 A BOUND_VARIABLE_4149) (tptp.u2_functor0 BOUND_VARIABLE_4147 A BOUND_VARIABLE_4149)))) (= (tptp.k12_functor0 BOUND_VARIABLE_4147) (tptp.k13_functor0 BOUND_VARIABLE_4147 A BOUND_VARIABLE_4147 BOUND_VARIABLE_4149 BOUND_VARIABLE_4151)))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (_let_63))) (let ((_let_66 ((tptp.k13_functor0 BOUND_VARIABLE_4147 A BOUND_VARIABLE_4147 BOUND_VARIABLE_4149 BOUND_VARIABLE_4151)))) (let ((_let_67 (= _let_17 _let_30))) (let ((_let_68 (= _let_17 _let_31))) (let ((_let_69 (tptp.v9_functor0 _let_17 _let_19 _let_16))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.l1_altcat_1 _let_16))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.l1_altcat_1 _let_19))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72 _let_35 _let_70 _let_67))) (let ((_let_76 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.l1_altcat_1 A)) (not (tptp.l1_altcat_1 B)) (not (tptp.l2_functor0 C A B)) (not (tptp.v9_functor0 C A B)) (= C (tptp.g2_functor0 A B (tptp.u1_functor0 A B C) (tptp.u2_functor0 A B C))))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 ((not (= (tptp.l2_functor0 C A B) false))))) (let ((_let_80 (tptp.m2_functor0 _let_17 _let_19 _let_16))) (let ((_let_81 (tptp.v16_functor0 _let_17 _let_19 _let_16))) (let ((_let_82 (and _let_69 _let_81 _let_80))) (let ((_let_83 (or _let_23 _let_82))) (let ((_let_84 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (let ((_let_2 (tptp.k5_waybel34 A))) (let ((_let_3 (tptp.k7_waybel34 A))) (or (tptp.v2_setfam_1 A) (and (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.m2_functor0 _let_3 _let_2 _let_1))))))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_24 0)) _let_29 :args ((not _let_23) true _let_24)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_23 _let_82 (not _let_83)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v2_setfam_1 A) true))))) :args (_let_84))) _let_85 :args (_let_83 false _let_84)) :args (_let_82 true _let_23 false _let_83)))) (let ((_let_88 (not _let_82))) (let ((_let_89 (not _let_80))) (let ((_let_90 (or _let_52 _let_51 _let_49 _let_45 _let_61 _let_58 _let_54 _let_89 _let_34))) (let ((_let_91 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_3359 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v2_altcat_1 A)) (not (tptp.v12_altcat_1 A)) (not (tptp.l2_altcat_1 A)) (tptp.v3_struct_0 B) (not (tptp.v12_altcat_1 B)) (not (tptp.l2_altcat_1 B)) (not (tptp.m2_functor0 BOUND_VARIABLE_3359 A B)) (tptp.l2_functor0 BOUND_VARIABLE_3359 A B))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_91))) (let ((_let_94 ((not (= (tptp.m2_functor0 BOUND_VARIABLE_3359 A B) false))))) (let ((_let_95 (tptp.v2_yellow21 _let_16))) (let ((_let_96 (tptp.v11_altcat_1 _let_16))) (let ((_let_97 (tptp.v6_altcat_1 _let_16))) (let ((_let_98 (not _let_61))) (let ((_let_99 (and _let_98 _let_59 _let_97 _let_96 _let_57 _let_95 _let_53))) (let ((_let_100 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_101 (or _let_100 _let_99))) (let ((_let_102 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_waybel34 A))) (or (tptp.v1_xboole_0 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_altcat_1 _let_1) (tptp.v6_altcat_1 _let_1) (tptp.v11_altcat_1 _let_1) (tptp.v12_altcat_1 _let_1) (tptp.v2_yellow21 _let_1) (tptp.l2_altcat_1 _let_1))))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (not _let_100))) (let ((_let_105 (or _let_23 _let_104))) (let ((_let_106 (forall ((A $$unsorted)) (or (tptp.v2_setfam_1 A) (not (tptp.v1_xboole_0 A)))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_23 _let_104 (not _let_105)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE 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(let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_45 _let_73 (not _let_143)))) _let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_140)) _let_139 :args (_let_143 false _let_138)) :args (_let_73 false _let_44 false _let_143)))) (let ((_let_145 (tptp.k15_functor0 _let_19 _let_16 _let_17))) (let ((_let_146 (= _let_18 _let_145))) (let ((_let_147 (and _let_68 _let_146))) (let ((_let_148 (or _let_23 _let_147))) (let ((_let_149 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k7_waybel34 A))) (let ((_let_2 (tptp.k4_waybel34 A))) (let ((_let_3 (tptp.k5_waybel34 A))) (let ((_let_4 (tptp.k6_waybel34 A))) (or (tptp.v2_setfam_1 A) (and (= _let_1 (tptp.k15_functor0 _let_2 _let_3 _let_4)) (= _let_4 (tptp.k15_functor0 _let_3 _let_2 _let_1))))))))))) (let ((_let_150 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) 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(forall ((A $$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_161 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_159)) :args ((or _let_23 _let_158 (not _let_159)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v2_setfam_1 A) true))))) :args (_let_160))) _let_161 :args (_let_159 false _let_160)) :args (_let_158 true _let_23 false _let_159)))) (let ((_let_163 (not _let_158))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_158 1)) :args ((or _let_42 _let_163))) _let_162 :args (_let_42 false _let_158)))) (let ((_let_165 (tptp.m2_functor0 _let_18 _let_16 _let_19))) (let ((_let_166 (not _let_165))) (let ((_let_167 (or _let_61 _let_60 _let_58 _let_54 _let_52 _let_49 _let_45 _let_166 _let_40))) (let ((_let_168 (and _let_157 _let_156 _let_165))) (let ((_let_169 (or _let_23 _let_168))) (let ((_let_170 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_waybel34 A))) (let ((_let_2 (tptp.k4_waybel34 A))) (let ((_let_3 (tptp.k6_waybel34 A))) (or (tptp.v2_setfam_1 A) (and (tptp.v9_functor0 _let_3 _let_2 _let_1) (tptp.v16_functor0 _let_3 _let_2 _let_1) (tptp.m2_functor0 _let_3 _let_2 _let_1))))))))) (let ((_let_171 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_169)) :args ((or _let_23 _let_168 (not _let_169)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v2_setfam_1 A) true))))) :args (_let_170))) _let_171 :args (_let_169 false _let_170)) :args (_let_168 true _let_23 false _let_169)))) (let ((_let_173 (not _let_168))) (let ((_let_174 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_110 1)) :args ((or _let_59 _let_115))) _let_114 :args (_let_59 false _let_110)))) (let ((_let_175 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_52 _let_49 _let_45 _let_61 _let_60 _let_58 _let_54 _let_40 _let_166 (not _let_167)))) _let_135 _let_133 _let_126 _let_117 _let_174 _let_116 _let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_168 2)) :args ((or _let_165 _let_173))) _let_172 :args (_let_165 false _let_168)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM 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(=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B)))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (forall ((C 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(tptp.v11_altcat_1 A))) (let ((_let_3 (tptp.v2_altcat_1 A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.l2_altcat_1 A) (=> (and _let_4 _let_3 _let_2 _let_1 (tptp.v2_yellow21 A)) (and _let_4 _let_3 (tptp.v9_altcat_1 A) _let_2 _let_1 (tptp.v1_altcat_2 A) (tptp.v2_yellow18 A) (tptp.v3_yellow18 A) (tptp.v4_yellow18 A) (tptp.v1_yellow21 A))))))))) (forall ((A $$unsorted) (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.v10_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 $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (and (tptp.v10_functor0 C A B) (tptp.v13_functor0 C A B)) (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v12_functor0 C A B) (tptp.v15_functor0 C A B))))))) (forall ((A $$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) (=> (tptp.v15_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 $$unsorted)) (=> (tptp.m2_functor0 C A B) (=> (and (tptp.v11_functor0 C A B) (tptp.v14_functor0 C A B)) (and (tptp.v6_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v12_functor0 C A B) (tptp.v16_functor0 C A B))))))) (forall ((A $$unsorted) (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 $$unsorted) (B $$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 $$unsorted)) (let ((_let_1 (tptp.g2_functor0 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.u1_struct_0 A))) (let ((_let_5 (tptp.k2_zfmisc_1 _let_4 _let_4))) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_3) (tptp.m1_relset_1 C _let_5 _let_3) (tptp.m1_functor0 D _let_5 _let_3 C (tptp.u1_altcat_1 A) (tptp.u1_altcat_1 B))) (and (tptp.v9_functor0 _let_1 A B) (tptp.l2_functor0 _let_1 A B))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_functor0 A))) (=> (tptp.l1_altcat_1 A) (and (tptp.v9_functor0 _let_1 A A) (tptp.l2_functor0 _let_1 A A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_functor0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (tptp.v9_functor0 _let_1 A A) (tptp.v15_functor0 _let_1 A A) (tptp.m2_functor0 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (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) (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C) (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.l2_functor0 E B C)) (and (tptp.v9_functor0 _let_1 A C) (tptp.l2_functor0 _let_1 A C))))) (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 _let_9 (forall ((A $$unsorted)) (=> (tptp.l1_altcat_1 A) (tptp.l1_struct_0 A))) true true _let_8 (forall ((A $$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 $$unsorted) (B $$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 _let_7 (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 $$unsorted) (B $$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.k11_functor0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (and (tptp.v8_functor0 _let_1 A A) (tptp.v9_functor0 _let_1 A A) (tptp.v10_functor0 _let_1 A A))))) (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 $$unsorted)) (let ((_let_1 (tptp.k11_functor0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (and (tptp.v8_functor0 _let_1 A A) (tptp.v9_functor0 _let_1 A A) (tptp.v10_functor0 _let_1 A A) (tptp.v12_functor0 _let_1 A A) (tptp.v13_functor0 _let_1 A A))))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.k11_functor0 A))) (=> (tptp.l1_altcat_1 A) (and (tptp.v9_functor0 _let_1 A A) (tptp.v21_functor0 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (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) (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C) (tptp.v8_functor0 D A B) (tptp.v10_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.v10_functor0 E B C) (tptp.l2_functor0 E B C)) (and (tptp.v9_functor0 _let_1 A C) (tptp.v10_functor0 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C) (tptp.v8_functor0 D A B) (tptp.v11_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.v10_functor0 E B C) (tptp.l2_functor0 E B C)) (and (tptp.v9_functor0 _let_1 A C) (tptp.v11_functor0 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (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) (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C) (tptp.v8_functor0 D A B) (tptp.v10_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.v11_functor0 E B C) (tptp.l2_functor0 E B C)) (and (tptp.v9_functor0 _let_1 A C) (tptp.v11_functor0 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C) (tptp.v8_functor0 D A B) (tptp.v11_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.v11_functor0 E B C) (tptp.l2_functor0 E B C)) (and (tptp.v9_functor0 _let_1 A C) (tptp.v10_functor0 _let_1 A C))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_altcat_2 B) (tptp.l1_altcat_1 B) (not (tptp.v3_struct_0 C)) (tptp.v1_altcat_2 C) (tptp.l1_altcat_1 C) (tptp.v8_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.v8_functor0 E B C) (tptp.l2_functor0 E B C)) (and (tptp.v8_functor0 _let_1 A C) (tptp.v9_functor0 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k13_functor0 A B C D E))) (=> (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) (not (tptp.v3_struct_0 C)) (tptp.v12_altcat_1 C) (tptp.l2_altcat_1 C) (tptp.v6_functor0 D A B) (tptp.v8_functor0 D A B) (tptp.v12_functor0 D A B) (tptp.l2_functor0 D A B) (tptp.v12_functor0 E B C) (tptp.l2_functor0 E B C)) (and (tptp.v9_functor0 _let_1 A C) (tptp.v12_functor0 _let_1 A C))))) _let_6 (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_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u2_functor0 A B C))) (=> (and (tptp.l1_altcat_1 A) (tptp.l1_altcat_1 B) (tptp.l2_functor0 C A B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_funcop_1 _let_1))))) _let_4 _let_3 (forall ((A $$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) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A) (not (tptp.v3_struct_0 B)) (tptp.v2_altcat_1 B) (tptp.v12_altcat_1 B) (tptp.l2_altcat_1 B)) (exists ((C $$unsorted)) (and (tptp.m2_functor0 C A B) (tptp.v8_functor0 C A B) (tptp.v9_functor0 C A B) (tptp.v15_functor0 C A B) (tptp.v16_functor0 C A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_altcat_1 A)) (exists ((B $$unsorted)) (and (tptp.l2_functor0 B A A) (tptp.v8_functor0 B A A) (tptp.v10_functor0 B A 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.v10_functor0 C A 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 $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$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.v8_functor0 C A B) (tptp.v10_functor0 C A B) (tptp.v11_functor0 C A 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)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_altcat_1 A) (tptp.v12_altcat_1 A) (tptp.l2_altcat_1 A)) (= (tptp.k12_functor0 A) (tptp.k11_functor0 A)))) (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 $$unsorted)) (tptp.r1_tarski A A)) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$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))) (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.08/1.27 )
% 1.08/1.27 % SZS output end Proof for LAT361+1
% 1.08/1.27 % cvc5---1.0.5 exiting
% 1.08/1.27 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------