TSTP Solution File: ALG222+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG222+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:08:45 EDT 2023
% Result : Theorem 0.68s 0.87s
% Output : Proof 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG222+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 02:39:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.68/0.87 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.UDEpAd2lBN/cvc5---1.0.5_23932.p...
% 0.68/0.87 ------- get file name : TPTP file name is ALG222+1
% 0.68/0.87 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23932.smt2...
% 0.68/0.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.68/0.87 % SZS status Theorem for ALG222+1
% 0.68/0.87 % SZS output start Proof for ALG222+1
% 0.68/0.87 (
% 0.68/0.87 (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_rmod_2 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_rmod_2 E A B) (=> (and (tptp.m1_rmod_2 C A D) (tptp.m1_rmod_2 C A E)) (tptp.m1_rmod_2 C A (tptp.k2_rmod_3 A B D E))))))))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k3_xboole_0 A B) A)))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.r1_tarski C D) (tptp.m1_rmod_2 (tptp.k1_rmod_5 A B C) A (tptp.k1_rmod_5 A B D))))))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k3_xboole_0 B C))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_subset_1 A B C) _let_1)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_rmod_5 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (and (tptp.v3_vectsp_2 _let_1 A) (tptp.m1_rmod_2 _let_1 A B))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))))) (let ((_let_8 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_rmod_2 (tptp.k1_rmod_5 A B (tptp.k5_subset_1 _let_1 C D)) A (tptp.k2_rmod_3 A B (tptp.k1_rmod_5 A B C) (tptp.k1_rmod_5 A B D))))))))))))))) (let ((_let_9 (tptp.k3_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (tptp.k5_subset_1 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (= _let_11 _let_9))) (let ((_let_13 (tptp.k3_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (= _let_9 _let_13))) (let ((_let_15 (tptp.r1_tarski _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_16 (tptp.r1_tarski _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (tptp.k1_zfmisc_1 _let_10))) (let ((_let_18 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_12))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k3_xboole_0 B C))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (tptp.k1_rmod_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (tptp.k1_rmod_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (tptp.k1_rmod_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_11))) (let ((_let_28 (tptp.m1_rmod_2 _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.k2_rmod_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_26 _let_25)))) (let ((_let_29 (tptp.l1_vectsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.v5_vectsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.v6_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.v5_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.v4_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.v3_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_42 (tptp.l3_vectsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.v2_vectsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.v10_vectsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (tptp.v8_vectsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.v7_vectsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.v6_vectsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.v7_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.v6_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.v5_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.v4_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.v3_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (or _let_65 _let_64 _let_62 _let_60 _let_58 _let_56 _let_54 _let_52 _let_50 _let_48 _let_46 _let_45 _let_43 _let_41 _let_40 _let_38 _let_36 _let_34 _let_32 _let_30 _let_21 _let_19 _let_28))) (let ((_let_67 (forall ((A $$unsorted) (BOUND_VARIABLE_1669 $$unsorted) (BOUND_VARIABLE_1667 $$unsorted) (BOUND_VARIABLE_1665 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 BOUND_VARIABLE_1665))) (let ((_let_2 (tptp.k1_zfmisc_1 _let_1))) (or (tptp.v3_struct_0 A) (not (tptp.v3_rlvect_1 A)) (not (tptp.v4_rlvect_1 A)) (not (tptp.v5_rlvect_1 A)) (not (tptp.v6_rlvect_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.v7_group_1 A)) (not (tptp.v6_vectsp_1 A)) (not (tptp.v7_vectsp_1 A)) (not (tptp.v8_vectsp_1 A)) (tptp.v10_vectsp_1 A) (not (tptp.v2_vectsp_2 A)) (not (tptp.l3_vectsp_1 A)) (tptp.v3_struct_0 BOUND_VARIABLE_1665) (not (tptp.v3_rlvect_1 BOUND_VARIABLE_1665)) (not (tptp.v4_rlvect_1 BOUND_VARIABLE_1665)) (not (tptp.v5_rlvect_1 BOUND_VARIABLE_1665)) (not (tptp.v6_rlvect_1 BOUND_VARIABLE_1665)) (not (tptp.v5_vectsp_2 BOUND_VARIABLE_1665 A)) (not (tptp.l1_vectsp_2 BOUND_VARIABLE_1665 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1669 _let_2)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1667 _let_2)) (tptp.m1_rmod_2 (tptp.k1_rmod_5 A BOUND_VARIABLE_1665 (tptp.k5_subset_1 _let_1 BOUND_VARIABLE_1669 BOUND_VARIABLE_1667)) A (tptp.k2_rmod_3 A BOUND_VARIABLE_1665 (tptp.k1_rmod_5 A BOUND_VARIABLE_1665 BOUND_VARIABLE_1669) (tptp.k1_rmod_5 A BOUND_VARIABLE_1665 BOUND_VARIABLE_1667))))))))) (let ((_let_68 (not _let_66))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (or))) (let ((_let_71 (not _let_67))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_69) :args (_let_71))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_67))) (REFL :args (_let_68)) :args _let_70)) _let_69 :args (_let_68 true _let_67)))) (let ((_let_73 (REFL :args (_let_66)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 21)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_70)) :args ((or _let_18 _let_66))) _let_72 :args (_let_18 true _let_66)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 20)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_70)) :args ((or _let_20 _let_66))) _let_72 :args (_let_20 true _let_66)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 _let_12 (not _let_22)))) _let_75 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k5_subset_1 A B C)))) :args (_let_23))) _let_24 :args (_let_22 false _let_23)) :args (_let_12 false _let_20 false _let_18 false _let_22)))) (let ((_let_77 (_let_7))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (tptp.m1_rmod_2 _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_25))) (let ((_let_80 (not _let_15))) (let ((_let_81 (tptp.m1_subset_1 _let_11 _let_17))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_65 _let_64 _let_62 _let_60 _let_58 _let_56 _let_54 _let_52 _let_50 _let_48 _let_46 _let_45 _let_43 _let_41 _let_40 _let_38 _let_36 _let_34 _let_32 _let_30 _let_82 _let_19 _let_80 _let_79))) (let ((_let_84 (forall ((A $$unsorted) (BOUND_VARIABLE_2342 $$unsorted) (BOUND_VARIABLE_2340 $$unsorted) (BOUND_VARIABLE_2338 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 BOUND_VARIABLE_2338)))) (or (tptp.v3_struct_0 A) (not (tptp.v3_rlvect_1 A)) (not (tptp.v4_rlvect_1 A)) (not (tptp.v5_rlvect_1 A)) (not (tptp.v6_rlvect_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.v7_group_1 A)) (not (tptp.v6_vectsp_1 A)) (not (tptp.v7_vectsp_1 A)) (not (tptp.v8_vectsp_1 A)) (tptp.v10_vectsp_1 A) (not (tptp.v2_vectsp_2 A)) (not (tptp.l3_vectsp_1 A)) (tptp.v3_struct_0 BOUND_VARIABLE_2338) (not (tptp.v3_rlvect_1 BOUND_VARIABLE_2338)) (not (tptp.v4_rlvect_1 BOUND_VARIABLE_2338)) (not (tptp.v5_rlvect_1 BOUND_VARIABLE_2338)) (not (tptp.v6_rlvect_1 BOUND_VARIABLE_2338)) (not (tptp.v5_vectsp_2 BOUND_VARIABLE_2338 A)) (not (tptp.l1_vectsp_2 BOUND_VARIABLE_2338 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2342 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2340 _let_1)) (not (tptp.r1_tarski BOUND_VARIABLE_2342 BOUND_VARIABLE_2340)) (tptp.m1_rmod_2 (tptp.k1_rmod_5 A BOUND_VARIABLE_2338 BOUND_VARIABLE_2342) A (tptp.k1_rmod_5 A BOUND_VARIABLE_2338 BOUND_VARIABLE_2340))))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_84))) (let ((_let_87 ((not (= (tptp.m1_rmod_2 (tptp.k1_rmod_5 A BOUND_VARIABLE_2338 BOUND_VARIABLE_2342) A (tptp.k1_rmod_5 A BOUND_VARIABLE_2338 BOUND_VARIABLE_2340)) true))))) (let ((_let_88 (not _let_79))) (let ((_let_89 (tptp.m1_rmod_2 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_90 (not _let_89))) (let ((_let_91 (tptp.m1_rmod_2 _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_26))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.m1_rmod_2 _let_26 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_let_122 _let_121 _let_120 _let_119 _let_118 _let_117 _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_142)) :args _let_141)) _let_140 :args (_let_138 false _let_139)) :args (_let_137 true _let_65 false _let_63 false _let_61 false _let_59 false _let_57 false _let_55 false _let_53 false _let_51 false _let_49 false _let_47 true _let_46 false _let_44 false _let_42 true _let_41 false _let_39 false _let_37 false _let_35 false _let_33 false _let_31 false _let_29 false _let_81 false _let_138)) :args (_let_95 false _let_137)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_65 _let_64 _let_62 _let_60 _let_58 _let_56 _let_54 _let_52 _let_50 _let_48 _let_46 _let_45 _let_43 _let_41 _let_40 _let_38 _let_36 _let_34 _let_32 _let_30 _let_21 _let_82 _let_91 _let_101 (not _let_102)))) _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123 _let_122 _let_121 _let_120 _let_119 _let_118 _let_117 _let_75 _let_116 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_108)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_109 _let_111) (SCOPE (TRUE_ELIM (TRANS (CONG _let_112 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args _let_110) (TRUE_INTRO _let_109))) :args (_let_103 _let_12))) :args (_let_12 _let_103))) :args (true _let_108)) :args ((or _let_107 _let_100 (not _let_103)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_103 false _let_2)) :args (_let_100 false _let_12 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_86)) _let_85 :args (_let_102 false _let_84)) :args (_let_91 true _let_65 false _let_63 false _let_61 false _let_59 false _let_57 false _let_55 false _let_53 false _let_51 false _let_49 false _let_47 true _let_46 false _let_44 false _let_42 true _let_41 false _let_39 false _let_37 false _let_35 false _let_33 false _let_31 false _let_29 false _let_20 false _let_81 false _let_100 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27 _let_25 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_rmod_2 BOUND_VARIABLE_2491 A (tptp.k2_rmod_3 A BOUND_VARIABLE_2485 BOUND_VARIABLE_2487 BOUND_VARIABLE_2489)) true))))) :args (_let_98))) _let_99 :args (_let_97 false _let_98)) :args (_let_88 true _let_65 false _let_63 false _let_61 false _let_59 false _let_57 false _let_55 false _let_51 false _let_49 false _let_47 false _let_42 true _let_41 false _let_39 false _let_37 false _let_35 false _let_33 false _let_31 false _let_29 true _let_28 false _let_93 false _let_89 false _let_95 false _let_91 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_86)) _let_85 :args (_let_83 false _let_84)) :args (_let_80 true _let_65 false _let_63 false _let_61 false _let_59 false _let_57 false _let_55 false _let_53 false _let_51 false _let_49 false _let_47 true _let_46 false _let_44 false _let_42 true _let_41 false _let_39 false _let_37 false _let_35 false _let_33 false _let_31 false _let_29 false _let_18 false _let_81 true _let_79 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_xboole_0 A B)))) :args _let_77)) _let_78 :args (_let_14 false _let_7)) _let_76 :args (false false _let_16 true _let_15 false _let_14 false _let_12)) :args (_let_8 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_vectsp_2 B A)) (=> (tptp.v3_vectsp_2 B A) (= B (tptp.g1_vectsp_2 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u1_vectsp_2 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.v8_vectsp_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_2 (tptp.v7_group_1 A) _let_1) (and _let_2 (tptp.v2_group_1 A) (tptp.v6_vectsp_1 A) _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v6_vectsp_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_2 (tptp.v7_group_1 A) _let_1) (and _let_2 (tptp.v2_group_1 A) _let_1 (tptp.v8_vectsp_1 A))))))) _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g1_vectsp_2 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 B (tptp.u1_struct_0 A)))) (let ((_let_3 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 B) (tptp.m1_relset_1 C _let_3 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 B) (tptp.m1_relset_1 E _let_2 B)) (and (tptp.v3_vectsp_2 _let_1 A) (tptp.l1_vectsp_2 _let_1 A))))))) _let_6 true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_rmod_3 A B C D))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_rmod_2 C A B) (tptp.m1_rmod_2 D A B)) (and (tptp.v3_vectsp_2 _let_1 A) (tptp.m1_rmod_2 _let_1 A B))))) true true _let_5 (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (tptp.l1_struct_0 A))) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (tptp.l2_struct_0 A))) true (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.l1_group_1 A))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_vectsp_2 B A) (tptp.l1_rlvect_1 B))))) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (tptp.l1_struct_0 A))) (forall ((A $$unsorted)) (=> (tptp.l2_vectsp_1 A) (and (tptp.l1_vectsp_1 A) (tptp.l2_struct_0 A)))) (forall ((A $$unsorted)) (=> (tptp.l3_vectsp_1 A) (and (tptp.l1_rlvect_1 A) (tptp.l2_vectsp_1 A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_rmod_2 C A B) (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v5_vectsp_2 C A) (tptp.l1_vectsp_2 C A)))))) true (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_rlvect_1 A))) (=> (tptp.l1_rlvect_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 (tptp.u1_struct_0 A)))) (let ((_let_3 (tptp.u1_vectsp_2 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_vectsp_2 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (tptp.m1_subset_1 (tptp.u2_struct_0 A) (tptp.u1_struct_0 A)))) (exists ((A $$unsorted)) (tptp.l1_group_1 A)) (exists ((A $$unsorted)) (tptp.l1_rlvect_1 A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l1_vectsp_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (tptp.l1_vectsp_2 B A)))) (exists ((A $$unsorted)) (tptp.l2_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_vectsp_1 A)) (exists ((A $$unsorted)) (tptp.l3_vectsp_1 A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (exists ((C $$unsorted)) (tptp.m1_rmod_2 C A B)))) (forall ((A $$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)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g1_vectsp_2 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 B (tptp.u1_struct_0 A)))) (let ((_let_3 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 B) (tptp.m1_relset_1 C _let_3 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 B) (tptp.m1_relset_1 E _let_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_vectsp_2 _let_1 A))))))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$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 $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 B) (tptp.m1_relset_1 C _let_2 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m1_relset_1 E _let_1 B)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g1_vectsp_2 A B C D E) (tptp.g1_vectsp_2 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B B) B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (exists ((B $$unsorted)) (and (tptp.l1_vectsp_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v3_vectsp_2 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (exists ((B $$unsorted)) (and (tptp.l1_vectsp_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (exists ((C $$unsorted)) (and (tptp.m1_rmod_2 C A B) (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v3_vectsp_2 C A) (tptp.v5_vectsp_2 C A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (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)))) (exists ((A $$unsorted)) (and (tptp.l2_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l1_vectsp_2 B A) (tptp.v3_vectsp_2 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l1_vectsp_2 B A) (not (tptp.v3_struct_0 B)))))) _let_4 (forall ((A $$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_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) _let_1 (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.68/0.87 )
% 0.68/0.87 % SZS output end Proof for ALG222+1
% 0.68/0.87 % cvc5---1.0.5 exiting
% 0.68/0.88 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------