TSTP Solution File: GRP638+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP638+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 00:26:48 EDT 2023
% Result : Theorem 0.24s 0.71s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP638+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Aug 28 21:04:56 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.24/0.53 %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.71 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.k9qNaM71B9/cvc5---1.0.5_1318.p...
% 0.24/0.71 ------- get file name : TPTP file name is GRP638+1
% 0.24/0.71 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1318.smt2...
% 0.24/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.24/0.71 % SZS status Theorem for GRP638+1
% 0.24/0.71 % SZS output start Proof for GRP638+1
% 0.24/0.71 (
% 0.24/0.71 (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (=> (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 C)) (tptp.m1_group_2 B C)))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (= (tptp.m1_group_6 C A B) (tptp.m1_group_2 C B))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (= (tptp.k3_funct_2 A B C D) (tptp.k10_relat_1 C D)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.l1_group_1 B)) (= (tptp.m1_group_2 B A) (and (tptp.r1_tarski _let_1 (tptp.u1_struct_0 A)) (= (tptp.u1_group_1 B) (tptp.k1_realset1 (tptp.u1_group_1 A) _let_1))))))))))) (let ((_let_9 (forall ((A $$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))))) (let ((_let_10 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_group_2 D B) (forall ((E $$unsorted)) (=> (tptp.m1_group_2 E B) (forall ((F $$unsorted)) (=> (tptp.m1_group_2 F A) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_group_2 G A) (=> (and (= (tptp.u1_struct_0 F) (tptp.k3_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 D))) (= (tptp.u1_struct_0 G) (tptp.k3_funct_2 _let_2 _let_1 C (tptp.u1_struct_0 E))) (tptp.m1_group_6 D B E)) (tptp.m1_group_6 F A G))))))))))))))))))))))) (let ((_let_11 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_12 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_13 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_14 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.k3_funct_2 _let_14 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12))) (let ((_let_16 (= _let_15 _let_11))) (let ((_let_17 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_18 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (tptp.k3_funct_2 _let_14 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (tptp.k10_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12))) (let ((_let_22 (= _let_15 _let_21))) (let ((_let_23 (tptp.k10_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18))) (let ((_let_24 (= _let_19 _let_23))) (let ((_let_25 (tptp.r1_tarski _let_11 _let_17))) (let ((_let_26 (tptp.r1_tarski _let_21 _let_23))) (let ((_let_27 (tptp.m1_group_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_28 (not _let_20))) (let ((_let_29 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (not _let_29))) (let ((_let_31 (not _let_16))) (let ((_let_32 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.m1_group_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 _let_13))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.v1_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_51 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (or _let_57 _let_56 _let_54 _let_52 _let_50 _let_49 _let_47 _let_45 _let_43 (not (tptp.v1_funct_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 _let_13)) (not (tptp.v1_group_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) _let_41 _let_39 _let_37 _let_35 _let_33 _let_31 _let_30 _let_28 _let_27))) (let ((_let_59 (forall ((A $$unsorted) (BOUND_VARIABLE_1388 $$unsorted) (BOUND_VARIABLE_1386 $$unsorted) (BOUND_VARIABLE_1384 $$unsorted) (BOUND_VARIABLE_1382 $$unsorted) (BOUND_VARIABLE_1380 $$unsorted) (BOUND_VARIABLE_1378 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_1378))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (tptp.v3_struct_0 BOUND_VARIABLE_1378) (not (tptp.v3_group_1 BOUND_VARIABLE_1378)) (not (tptp.v4_group_1 BOUND_VARIABLE_1378)) (not (tptp.l1_group_1 BOUND_VARIABLE_1378)) (not (tptp.v1_funct_1 BOUND_VARIABLE_1388)) (not (tptp.v1_funct_2 BOUND_VARIABLE_1388 _let_2 _let_1)) (not (tptp.v1_group_6 BOUND_VARIABLE_1388 A BOUND_VARIABLE_1378)) (not (tptp.m2_relset_1 BOUND_VARIABLE_1388 _let_2 _let_1)) (not (tptp.m1_group_2 BOUND_VARIABLE_1380 BOUND_VARIABLE_1378)) (not (tptp.m1_group_2 BOUND_VARIABLE_1386 BOUND_VARIABLE_1378)) (not (tptp.m1_group_6 BOUND_VARIABLE_1380 BOUND_VARIABLE_1378 BOUND_VARIABLE_1386)) (not (tptp.m1_group_2 BOUND_VARIABLE_1382 A)) (not (= (tptp.k3_funct_2 _let_2 _let_1 BOUND_VARIABLE_1388 (tptp.u1_struct_0 BOUND_VARIABLE_1380)) (tptp.u1_struct_0 BOUND_VARIABLE_1382))) (not (tptp.m1_group_2 BOUND_VARIABLE_1384 A)) (not (= (tptp.k3_funct_2 _let_2 _let_1 BOUND_VARIABLE_1388 (tptp.u1_struct_0 BOUND_VARIABLE_1386)) (tptp.u1_struct_0 BOUND_VARIABLE_1384))) (tptp.m1_group_6 BOUND_VARIABLE_1382 A BOUND_VARIABLE_1384))))))) (let ((_let_60 (not _let_58))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (or))) (let ((_let_63 (not _let_59))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_61) :args (_let_63))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_59))) (REFL :args (_let_60)) :args _let_62)) _let_61 :args (_let_60 true _let_59)))) (let ((_let_65 (REFL :args (_let_58)))) (let ((_let_66 (tptp.m1_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 _let_13))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_43 _let_67 _let_22))) (let ((_let_69 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.v1_funct_1 C)) (not (tptp.m1_relset_1 C A B)) (= (tptp.k3_funct_2 A B C D) (tptp.k10_relat_1 C D)))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 ((tptp.k3_funct_2 A B C D)))) (let ((_let_73 (= _let_40 _let_66))) (let ((_let_74 (_let_3))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 11)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_62)) :args ((or _let_40 _let_58))) _let_64 :args (_let_40 true _let_58)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_73)) :args ((or _let_41 _let_66 (not _let_73)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_14 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m2_relset_1 C A B)))) :args _let_74)) _let_75 :args (_let_73 false _let_3)) :args (_let_66 false _let_40 false _let_73)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 8)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_62)) :args ((or _let_42 _let_58))) _let_64 :args (_let_42 true _let_58)))) (let ((_let_79 (or _let_43 _let_67 _let_24))) (let ((_let_80 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_81 (not _let_25))) (let ((_let_82 (or _let_57 _let_56 _let_54 _let_52 _let_33 _let_30 _let_81 _let_80))) (let ((_let_83 (forall ((A $$unsorted) (BOUND_VARIABLE_1845 $$unsorted) (BOUND_VARIABLE_1843 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m1_group_2 BOUND_VARIABLE_1843 A)) (not (tptp.m1_group_2 BOUND_VARIABLE_1845 A)) (not (tptp.r1_tarski (tptp.u1_struct_0 BOUND_VARIABLE_1843) (tptp.u1_struct_0 BOUND_VARIABLE_1845))) (tptp.m1_group_2 BOUND_VARIABLE_1843 BOUND_VARIABLE_1845))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (= _let_27 _let_80))) (let ((_let_86 (not _let_80))) (let ((_let_87 (or _let_57 _let_56 _let_54 _let_52 _let_30 _let_85))) (let ((_let_88 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1771 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m1_group_2 B A)) (= (tptp.m1_group_6 BOUND_VARIABLE_1771 A B) (tptp.m1_group_2 BOUND_VARIABLE_1771 B)))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 ((tptp.m1_group_6 BOUND_VARIABLE_1771 A B)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 17)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_62)) :args ((or _let_29 _let_58))) _let_64 :args (_let_29 true _let_58)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 3)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_62)) :args ((or _let_51 _let_58))) _let_64 :args (_let_51 true _let_58)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 2)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_62)) :args ((or _let_53 _let_58))) _let_64 :args (_let_53 true _let_58)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 1)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_62)) :args ((or _let_55 _let_58))) _let_64 :args (_let_55 true _let_58)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_58 0)) _let_64 :args ((not _let_57) true _let_58)))) (let ((_let_97 (tptp.r1_tarski _let_12 _let_18))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.v1_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_98 _let_26))) (let ((_let_102 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.v1_relat_1 C)) (not (tptp.r1_tarski A B)) (tptp.r1_tarski (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B)))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (and _let_97 (= (tptp.u1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.k1_realset1 (tptp.u1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_12))))) (let ((_let_105 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_106 (= _let_105 _let_104))) (let ((_let_107 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_108 (not _let_107))) (let ((_let_109 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_112 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_113 (not _let_112))) (let ((_let_114 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.v3_struct_0 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_let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 16)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_16))) :args _let_62)) :args ((or _let_16 _let_58))) _let_64 :args (_let_16 true _let_58)) :args (false false _let_26 true _let_25 false _let_24 false _let_22 false _let_20 false _let_16)) :args (_let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_1 (tptp.v1_partfun1 C A B)) (and _let_1 (tptp.v1_funct_2 C A B)))))) _let_9 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (not (tptp.v1_xboole_0 C)) (tptp.v1_partfun1 C A B) _let_1)))))))) _let_8 true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (tptp.m1_subset_1 (tptp.k3_funct_2 A B C D) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (tptp.l1_struct_0 A))) true _let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_6 C A B) (tptp.m1_group_2 C A))))) true true _let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_group_1 A))) (=> (tptp.l1_group_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) true (exists ((A $$unsorted)) (tptp.l1_group_1 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (tptp.m1_group_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (exists ((C $$unsorted)) (tptp.m1_group_6 C A B)))) (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 $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (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)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) _let_5 _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$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 $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.24/0.71 )
% 0.24/0.71 % SZS output end Proof for GRP638+1
% 0.24/0.71 % cvc5---1.0.5 exiting
% 0.24/0.71 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------