TSTP Solution File: GRP625+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP625+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 00:26:41 EDT 2023
% Result : Theorem 1.68s 1.88s
% Output : Proof 1.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GRP625+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n002.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 : Mon Aug 28 20:51:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 1.68/1.88 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mtd7Srhbjf/cvc5---1.0.5_10539.p...
% 1.68/1.88 ------- get file name : TPTP file name is GRP625+1
% 1.68/1.88 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10539.smt2...
% 1.68/1.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.68/1.88 % SZS status Theorem for GRP625+1
% 1.68/1.88 % SZS output start Proof for GRP625+1
% 1.68/1.88 (
% 1.68/1.88 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k6_relat_1 A) B) B))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k3_group_1 A _let_1) _let_1)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r2_hidden C (tptp.k1_funct_2 A B))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (forall ((D $$unsorted)) (= (tptp.m2_fraenkel D A B C) (tptp.m1_subset_1 D C))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (= (tptp.k8_funct_2 A B C D) (tptp.k1_funct_1 C D)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.k6_partfun1 A) (tptp.k6_relat_1 A))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k1_fraenkel A B) (tptp.k1_funct_2 A B)))))) (let ((_let_11 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))))) (let ((_let_12 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (tptp.l1_struct_0 A))))) (let ((_let_14 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))))) (let ((_let_15 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_fraenkel (tptp.k4_autgroup A) _let_1 _let_1)))))) (let ((_let_16 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (tptp.m1_subset_1 (tptp.k2_group_1 A) (tptp.u1_struct_0 A)))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel (tptp.k1_fraenkel A B) A B))))) (let ((_let_18 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (=> (tptp.v2_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (= B (tptp.k2_group_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C)))))))))))) (let ((_let_19 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_fraenkel B _let_1 _let_1) (= (= B (tptp.k4_autgroup A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel C _let_1 _let_1 (tptp.k1_fraenkel _let_1 _let_1)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 C E) (tptp.k2_group_3 A E D))))))))))))))))))) (let ((_let_20 (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_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_group_3 A B C) (tptp.k1_group_1 A (tptp.k1_group_1 A (tptp.k3_group_1 A C) B) C)))))))))) (let ((_let_21 (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v3_group_1 A)) (and _let_1 (tptp.v2_group_1 A)))))))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_1 (tptp.v1_partfun1 C A B)) (and _let_1 (tptp.v1_funct_2 C A B)))))))) (let ((_let_23 (not (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m2_fraenkel (tptp.k6_partfun1 _let_1) _let_1 _let_1 (tptp.k4_autgroup A)))))))) (let ((_let_24 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (tptp.k6_relat_1 _let_24))) (let ((_let_26 (tptp.k6_partfun1 _let_24))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (tptp.k2_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (tptp.k3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28))) (let ((_let_30 (= _let_28 _let_29))) (let ((_let_31 (tptp.k2_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 _let_28))) (let ((_let_32 (tptp.k8_funct_2 _let_24 _let_24 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_33 (= _let_32 _let_31))) (let ((_let_34 (= _let_31 (tptp.k1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) _let_28)))) (let ((_let_35 (= _let_32 (tptp.k1_funct_1 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)))) (let ((_let_36 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 (tptp.k1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 _let_28)))) (let ((_let_37 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 (tptp.k1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)))) (let ((_let_38 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 (tptp.k1_funct_1 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)))) (let ((_let_39 (_let_9))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k6_partfun1 A)))) :args _let_39)) _let_40 :args (_let_27 false _let_9)))) (let ((_let_42 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_49 (or _let_48 _let_47 _let_45 _let_43 _let_30))) (let ((_let_50 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (= _let_1 (tptp.k3_group_1 A _let_1))))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (tptp.k4_autgroup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (tptp.m2_fraenkel _let_26 _let_24 _let_24 _let_52))) (let ((_let_54 (tptp.v1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_48 _let_55 _let_47 _let_45 _let_43 _let_53))) (let ((_let_57 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v1_group_1 A)) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (tptp.m2_fraenkel (tptp.k6_partfun1 _let_1) _let_1 _let_1 (tptp.k4_autgroup A))))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (or))) (let ((_let_61 (not _let_57))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_59) :args (_let_61))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_57))) (REFL :args (_let_58)) :args _let_60)) _let_59 :args (_let_58 true _let_57)))) (let ((_let_63 (REFL :args (_let_56)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 4)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_60)) :args ((or _let_42 _let_56))) _let_62 :args (_let_42 true _let_56)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 3)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_60)) :args ((or _let_44 _let_56))) _let_62 :args (_let_44 true _let_56)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 2)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_60)) :args ((or _let_46 _let_56))) _let_62 :args (_let_46 true _let_56)))) (let ((_let_67 (not _let_48))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_56 0)) _let_62 :args (_let_67 true _let_56)))) (let ((_let_69 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 _let_24))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_33))) (let ((_let_72 (not _let_33))) (let ((_let_73 (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 E _let_1)) (= (tptp.k8_funct_2 _let_1 _let_1 (tptp.k6_partfun1 _let_1) E) (tptp.k2_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E (tptp.k2_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))))) (let ((_let_74 (not _let_71))) (let ((_let_75 (not _let_73))) (let ((_let_76 (tptp.m1_subset_1 _let_28 _let_24))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75))) (let ((_let_79 (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 E _let_1)) (= (tptp.k2_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E D) (tptp.k8_funct_2 _let_1 _let_1 (tptp.k6_partfun1 _let_1) E)))))))))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.r2_hidden _let_26 _let_52))) (let ((_let_82 (= _let_81 _let_80))) (let ((_let_83 (tptp.k1_fraenkel _let_24 _let_24))) (let ((_let_84 (tptp.m2_fraenkel _let_26 _let_24 _let_24 _let_83))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_82))) (let ((_let_87 (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m2_fraenkel C _let_1 _let_1 (tptp.k1_fraenkel _let_1 _let_1))) (= (not (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 E _let_1)) (= (tptp.k8_funct_2 _let_1 _let_1 C E) (tptp.k2_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E D))))))))) (tptp.r2_hidden C (tptp.k4_autgroup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))))) (let ((_let_88 (tptp.m1_fraenkel _let_52 _let_24 _let_24))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_48 _let_55 _let_47 _let_45 _let_43 _let_89 _let_87))) (let ((_let_91 (forall ((A $$unsorted) (BOUND_VARIABLE_1988 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v1_group_1 A)) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m1_fraenkel BOUND_VARIABLE_1988 _let_1 _let_1)) (= (= (tptp.k4_autgroup A) BOUND_VARIABLE_1988) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m2_fraenkel C _let_1 _let_1 (tptp.k1_fraenkel _let_1 _let_1))) (= (not (forall ((D $$unsorted)) (or (not (tptp.m1_subset_1 D (tptp.u1_struct_0 A))) (not (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 E _let_1)) (= (tptp.k8_funct_2 _let_1 _let_1 C E) (tptp.k2_group_3 A E D))))))))) (tptp.r2_hidden C BOUND_VARIABLE_1988))))))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (tptp.u1_struct_0 A))) (let ((_let_94 (or _let_48 _let_55 _let_47 _let_45 _let_43 _let_88))) (let ((_let_95 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v1_group_1 A)) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (tptp.m1_fraenkel (tptp.k4_autgroup A) _let_1 _let_1)))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 1)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_60)) :args ((or _let_54 _let_56))) _let_62 :args (_let_54 true _let_56)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_48 _let_55 _let_47 _let_45 _let_43 _let_88 (not _let_94)))) _let_68 _let_97 _let_66 _let_65 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_95))) _let_96 :args (_let_94 false _let_95)) :args (_let_88 true _let_48 false _let_54 false _let_46 false _let_44 false _let_42 false _let_94)))) (let ((_let_99 (_let_87))) (let ((_let_100 (tptp.m1_subset_1 _let_26 _let_83))) (let ((_let_101 (= _let_84 _let_100))) (let ((_let_102 (tptp.m1_fraenkel _let_83 _let_24 _let_24))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.v1_xboole_0 _let_24))) (let ((_let_105 (or _let_104 _let_103 _let_101))) (let 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(CNF_OR_NEG :args (_let_71 0)) (CONG (REFL :args (_let_71)) (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_60)) :args ((or _let_69 _let_71))) _let_193 :args (_let_69 true _let_71)))) (let ((_let_198 (or _let_104 _let_140 _let_138 _let_149 _let_70 _let_35))) (let ((_let_199 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (tptp.v1_xboole_0 A) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C A B)) (not (tptp.m1_relset_1 C A B)) (not (tptp.m1_subset_1 D A)) (= (tptp.k8_funct_2 A B C D) (tptp.k1_funct_1 C D)))))) (let ((_let_200 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_201 (and _let_36 _let_37))) (let ((_let_202 (or _let_70 _let_201))) (let ((_let_203 (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 C (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (and (= C (tptp.k1_group_1 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_let_24))) (let ((_let_217 (not _let_216))) (let ((_let_218 (or _let_217 _let_38))) (let ((_let_219 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.r2_hidden B A)) (= B (tptp.k1_funct_1 (tptp.k6_relat_1 A) B)))))) (let ((_let_220 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_221 (or _let_70 _let_104 _let_216))) (let ((_let_222 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.m1_subset_1 A B)) (tptp.v1_xboole_0 B) (tptp.r2_hidden A B))))) (let ((_let_223 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_224 (not _let_38))) (let ((_let_225 (_let_224))) (let ((_let_226 (ASSUME :args (_let_38)))) (let ((_let_227 (ASSUME :args (_let_72)))) (let ((_let_228 (ASSUME :args (_let_34)))) (let ((_let_229 (APPLY_UF tptp.k1_group_1))) (let ((_let_230 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)))) (let ((_let_231 (ASSUME :args (_let_30)))) (let ((_let_232 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_233 (ASSUME :args (_let_37)))) (let ((_let_234 (ASSUME :args (_let_36)))) (let ((_let_235 (ASSUME :args (_let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_235 _let_160 _let_227 _let_228 _let_231 _let_233 _let_234) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG _let_161 _let_230 :args (APPLY_UF tptp.k1_funct_1)) (SYMM _let_235)) (TRANS (SYMM (SYMM _let_234)) (CONG _let_232 (TRANS (SYMM (SYMM _let_233)) (CONG _let_232 (SYMM (SYMM _let_231)) _let_230 :args _let_229)) (REFL :args (_let_28)) :args _let_229) (SYMM _let_228)) :args (=)) (FALSE_INTRO _let_227)) :args ((= _let_38 false)))) :args (_let_35 _let_27 _let_72 _let_34 _let_30 _let_37 _let_36))) _let_226) :args (_let_27 _let_30 _let_72 _let_34 _let_35 _let_36 _let_37 _let_38)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_225))) 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_220 :args (_let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r2_hidden B A) false))))) :args (_let_219))) _let_220 :args (_let_218 false _let_219)) :args (_let_38 false _let_216 false _let_218)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_201 1)) :args ((or _let_37 _let_215))) _let_214 :args (_let_37 false _let_201)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_201 0)) :args ((or _let_36 _let_215))) _let_214 :args (_let_36 false _let_201)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_198)) :args ((or _let_104 _let_149 _let_140 _let_138 _let_70 _let_35 (not _let_198)))) _let_122 _let_170 _let_162 _let_173 _let_197 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args (_let_24 _let_24 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k8_funct_2 A B C D)))) :args (_let_199))) _let_200 :args (_let_198 false _let_199)) :args (_let_35 true _let_104 false _let_148 false _let_139 false _let_137 false _let_69 false _let_198)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_194)) :args ((or _let_48 _let_47 _let_45 _let_43 _let_77 _let_70 _let_34 (not _let_194)))) _let_68 _let_66 _let_65 _let_64 _let_191 _let_197 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k2_group_3 A BOUND_VARIABLE_1933 BOUND_VARIABLE_1935)))) :args (_let_195))) _let_196 :args (_let_194 false _let_195)) :args (_let_34 true _let_48 false _let_46 false _let_44 false _let_42 false _let_76 false _let_69 false _let_194)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_71 1)) _let_193 :args (_let_72 true _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_47 _let_45 _let_43 _let_30 (not _let_49)))) _let_68 _let_66 _let_65 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_50))) _let_51 :args (_let_49 false _let_50)) :args (_let_30 true _let_48 false _let_46 false _let_44 false _let_42 false _let_49)) _let_41 :args (false false _let_38 false _let_37 false _let_36 false _let_35 false _let_34 true _let_33 false _let_30 false _let_27)) :args (_let_23 (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (=> (tptp.v1_group_1 A) (= A (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) _let_22 _let_21 (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_relat_1 A))) (=> (and _let_1 (tptp.v3_relat_2 A) (tptp.v8_relat_2 A)) (and _let_1 (tptp.v1_relat_2 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.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 $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1 (tptp.v3_funct_2 C A B)) (and _let_2 (tptp.v2_funct_1 C) _let_1 (tptp.v2_funct_2 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$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 (tptp.v2_funct_1 C) _let_1 (tptp.v2_funct_2 C A B)) (and _let_2 _let_1 (tptp.v3_funct_2 C A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 B A A))) (let ((_let_2 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B A A) (=> (and _let_2 (tptp.v1_partfun1 B A A) (tptp.v1_relat_2 B) _let_1) (and _let_2 (tptp.v2_funct_1 B) _let_1 (tptp.v2_funct_2 B A A) (tptp.v3_funct_2 B A A))))))) (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)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k1_binop_1 A B C) (tptp.k1_funct_1 A (tptp.k4_tarski B C)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_group_1 A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_group_1 A) B C))))))))) _let_20 _let_19 _let_18 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_group_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (tptp.v1_group_1 _let_1) (tptp.l1_group_1 _let_1)))))) true _let_17 true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_group_1 A B C) _let_1)))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (tptp.m1_subset_1 (tptp.k2_binop_1 A B C D E F) C)))) _let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_group_3 A B C) _let_1)))) true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_group_1 A B) _let_1)))) _let_15 true _let_14 (forall ((A $$unsorted)) (tptp.v1_relat_1 (tptp.k6_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k8_funct_2 A B C D) B))) _let_13 true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_fraenkel C A B) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A B C) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D 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)) (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 $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_fraenkel C A B))) (forall ((A $$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) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (exists ((D $$unsorted)) (tptp.m2_fraenkel D A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_fraenkel (tptp.k1_funct_2 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 (tptp.k1_funct_2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_group_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1)))))) _let_12 (tptp.v1_xboole_0 tptp.k1_xboole_0) _let_11 (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_funct_2 A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_relat_2 _let_1) (tptp.v3_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_group_1 A B) (tptp.g1_group_1 C D)) (and (= A C) (= B D))))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_fraenkel A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B)))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (tptp.v1_group_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B A A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v2_funct_2 B A A) (tptp.v3_funct_2 B A A)))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B A A) (tptp.v1_relat_1 B) (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A)))) (exists ((A $$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_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (= (tptp.k2_binop_1 A B C D E F) (tptp.k1_binop_1 D E F))))) _let_9 _let_8 _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_5 _let_4 _let_3 _let_2 _let_1 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.68/1.89 )
% 1.68/1.89 % SZS output end Proof for GRP625+1
% 1.68/1.89 % cvc5---1.0.5 exiting
% 1.68/1.89 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------