TSTP Solution File: ALG220+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG220+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 16:08:44 EDT 2023
% Result : Theorem 0.74s 0.94s
% Output : Proof 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG220+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n021.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 : Mon Aug 28 05:06:58 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.74/0.94 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9Ajr10BCi2/cvc5---1.0.5_3587.p...
% 0.74/0.94 ------- get file name : TPTP file name is ALG220+1
% 0.74/0.94 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3587.smt2...
% 0.74/0.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.74/0.94 % SZS status Theorem for ALG220+1
% 0.74/0.94 % SZS output start Proof for ALG220+1
% 0.74/0.94 (
% 0.74/0.94 (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.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v3_vectsp_2 C A) (tptp.v5_vectsp_2 C A) (tptp.l1_vectsp_2 C A)) (=> (and (tptp.m1_rmod_2 C A B) (tptp.m1_rmod_2 B A C)) (= C B)))))))))) (let ((_let_2 (forall ((A $$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 $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.r1_tarski C D) (tptp.m1_rmod_2 (tptp.k1_rmod_5 A B C) A (tptp.k1_rmod_5 A B D))))))))))))) (let ((_let_3 (forall ((A $$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)))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_rmod_5 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v2_vectsp_2 A) (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (and (tptp.v3_vectsp_2 _let_1 A) (tptp.m1_rmod_2 _let_1 A B))))))) (let ((_let_5 (not (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v3_vectsp_2 B A) (tptp.v5_vectsp_2 B A) (tptp.l1_vectsp_2 B A)) (forall ((C $$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))) (=> (and (= (tptp.k1_rmod_5 A B C) B) (tptp.r1_tarski C D)) (= (tptp.k1_rmod_5 A B D) B))))))))))))) (let ((_let_6 (tptp.k1_rmod_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6))) (let ((_let_8 (tptp.k1_rmod_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.m1_rmod_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8))) (let ((_let_10 (tptp.m1_rmod_2 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_8))) (let ((_let_12 (tptp.r1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_15 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_14))) (let ((_let_16 (not _let_15))) (let ((_let_17 (not _let_7))) (let ((_let_18 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.l1_vectsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.v5_vectsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.v3_vectsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.v6_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.v5_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.v4_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.v3_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_35 (tptp.l3_vectsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.v2_vectsp_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.v10_vectsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_40 (tptp.v8_vectsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.v7_vectsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.v6_vectsp_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.v7_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.v6_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.v5_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.v4_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.v3_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (or _let_58 _let_57 _let_55 _let_53 _let_51 _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_38 _let_36 _let_34 _let_33 _let_31 _let_29 _let_27 _let_25 _let_23 _let_21 _let_19 _let_17 _let_16 _let_13 _let_11))) (let ((_let_60 (forall ((A $$unsorted) (BOUND_VARIABLE_1574 $$unsorted) (BOUND_VARIABLE_1572 $$unsorted) (BOUND_VARIABLE_1570 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 BOUND_VARIABLE_1570)))) (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_1570) (not (tptp.v3_rlvect_1 BOUND_VARIABLE_1570)) (not (tptp.v4_rlvect_1 BOUND_VARIABLE_1570)) (not (tptp.v5_rlvect_1 BOUND_VARIABLE_1570)) (not (tptp.v6_rlvect_1 BOUND_VARIABLE_1570)) (not (tptp.v3_vectsp_2 BOUND_VARIABLE_1570 A)) (not (tptp.v5_vectsp_2 BOUND_VARIABLE_1570 A)) (not (tptp.l1_vectsp_2 BOUND_VARIABLE_1570 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1574 _let_1)) (not (= BOUND_VARIABLE_1570 (tptp.k1_rmod_5 A BOUND_VARIABLE_1570 BOUND_VARIABLE_1574))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1572 _let_1)) (not (tptp.r1_tarski BOUND_VARIABLE_1574 BOUND_VARIABLE_1572)) (= BOUND_VARIABLE_1570 (tptp.k1_rmod_5 A BOUND_VARIABLE_1570 BOUND_VARIABLE_1572))))))) (let ((_let_61 (not _let_59))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (or))) (let ((_let_64 (not _let_60))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_62) :args (_let_64))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_60))) (REFL :args (_let_61)) :args _let_63)) _let_62 :args (_let_61 true _let_60)))) (let ((_let_66 (REFL :args (_let_59)))) (let ((_let_67 (not _let_9))) (let ((_let_68 (tptp.m1_rmod_2 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.l1_vectsp_2 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.v5_vectsp_2 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.v3_vectsp_2 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.v6_rlvect_1 _let_8))) (let ((_let_77 (not _let_76))) (let ((_let_78 (tptp.v5_rlvect_1 _let_8))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.v4_rlvect_1 _let_8))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.v3_rlvect_1 _let_8))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.v3_struct_0 _let_8))) (let ((_let_85 (or _let_58 _let_57 _let_55 _let_53 _let_51 _let_49 _let_45 _let_43 _let_41 _let_36 _let_34 _let_33 _let_31 _let_29 _let_27 _let_25 _let_23 _let_21 _let_84 _let_83 _let_81 _let_79 _let_77 _let_75 _let_73 _let_71 _let_69 _let_67 _let_11))) (let ((_let_86 (forall ((A $$unsorted) (BOUND_VARIABLE_2311 $$unsorted) (BOUND_VARIABLE_2309 $$unsorted)) (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.v6_vectsp_1 A)) (not (tptp.v7_vectsp_1 A)) (not (tptp.v8_vectsp_1 A)) (not (tptp.l3_vectsp_1 A)) (tptp.v3_struct_0 BOUND_VARIABLE_2309) (not (tptp.v3_rlvect_1 BOUND_VARIABLE_2309)) (not (tptp.v4_rlvect_1 BOUND_VARIABLE_2309)) (not (tptp.v5_rlvect_1 BOUND_VARIABLE_2309)) (not (tptp.v6_rlvect_1 BOUND_VARIABLE_2309)) (not (tptp.v3_vectsp_2 BOUND_VARIABLE_2309 A)) (not (tptp.v5_vectsp_2 BOUND_VARIABLE_2309 A)) (not (tptp.l1_vectsp_2 BOUND_VARIABLE_2309 A)) (tptp.v3_struct_0 BOUND_VARIABLE_2311) (not (tptp.v3_rlvect_1 BOUND_VARIABLE_2311)) (not (tptp.v4_rlvect_1 BOUND_VARIABLE_2311)) (not (tptp.v5_rlvect_1 BOUND_VARIABLE_2311)) (not (tptp.v6_rlvect_1 BOUND_VARIABLE_2311)) (not (tptp.v3_vectsp_2 BOUND_VARIABLE_2311 A)) (not (tptp.v5_vectsp_2 BOUND_VARIABLE_2311 A)) (not (tptp.l1_vectsp_2 BOUND_VARIABLE_2311 A)) (not (tptp.m1_rmod_2 BOUND_VARIABLE_2311 A BOUND_VARIABLE_2309)) (not (tptp.m1_rmod_2 BOUND_VARIABLE_2309 A BOUND_VARIABLE_2311)) (= BOUND_VARIABLE_2309 BOUND_VARIABLE_2311))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (not _let_84))) (let ((_let_89 (and _let_88 _let_82 _let_80 _let_78 _let_76 _let_72 _let_70))) (let ((_let_90 (or _let_58 _let_57 _let_55 _let_53 _let_51 _let_49 _let_45 _let_43 _let_41 _let_36 _let_34 _let_33 _let_31 _let_29 _let_27 _let_23 _let_21 _let_69 _let_89))) (let ((_let_91 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1751 $$unsorted)) (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.v6_vectsp_1 A)) (not (tptp.v7_vectsp_1 A)) (not (tptp.v8_vectsp_1 A)) (not (tptp.l3_vectsp_1 A)) (tptp.v3_struct_0 B) (not (tptp.v3_rlvect_1 B)) (not (tptp.v4_rlvect_1 B)) (not (tptp.v5_rlvect_1 B)) (not (tptp.v6_rlvect_1 B)) (not (tptp.v5_vectsp_2 B A)) (not (tptp.l1_vectsp_2 B A)) (not (tptp.m1_rmod_2 BOUND_VARIABLE_1751 A B)) (and (not (tptp.v3_struct_0 BOUND_VARIABLE_1751)) (tptp.v3_rlvect_1 BOUND_VARIABLE_1751) (tptp.v4_rlvect_1 BOUND_VARIABLE_1751) (tptp.v5_rlvect_1 BOUND_VARIABLE_1751) (tptp.v6_rlvect_1 BOUND_VARIABLE_1751) (tptp.v5_vectsp_2 BOUND_VARIABLE_1751 A) (tptp.l1_vectsp_2 BOUND_VARIABLE_1751 A)))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (and _let_74 _let_68))) (let ((_let_94 (or _let_58 _let_57 _let_55 _let_53 _let_51 _let_49 _let_47 _let_45 _let_43 _let_41 _let_39 _let_38 _let_36 _let_34 _let_33 _let_31 _let_29 _let_27 _let_23 _let_21 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_let_74 _let_119))) _let_118 :args (_let_74 false _let_93)) _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 0)) :args ((or _let_88 _let_122))) _let_121 :args (_let_88 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 1)) :args ((or _let_82 _let_122))) _let_121 :args (_let_82 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 2)) :args ((or _let_80 _let_122))) _let_121 :args (_let_80 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 3)) :args ((or _let_78 _let_122))) _let_121 :args (_let_78 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 4)) :args ((or _let_76 _let_122))) _let_121 :args (_let_76 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 5)) :args ((or _let_72 _let_122))) _let_121 :args (_let_72 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 6)) :args ((or _let_70 _let_122))) _let_121 :args (_let_70 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_rmod_2 BOUND_VARIABLE_2311 A BOUND_VARIABLE_2309) false))))) :args (_let_86))) _let_87 :args (_let_85 false _let_86)) :args (_let_67 true _let_58 false _let_56 false _let_54 false _let_52 false _let_50 false _let_48 false _let_44 false _let_42 false _let_40 false _let_35 true _let_34 false _let_32 false _let_30 false _let_28 false _let_26 false _let_24 false _let_22 false _let_20 true _let_11 false _let_74 false _let_68 true _let_84 false _let_82 false _let_80 false _let_78 false _let_76 false _let_72 false _let_70 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 22)) (CONG _let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_7))) :args _let_63)) :args ((or _let_7 _let_59))) _let_65 :args (_let_7 true _let_59)) :args (false false _let_10 true _let_9 false _let_7)) :args (_let_5 (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))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g1_vectsp_2 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 B (tptp.u1_struct_0 A)))) (let ((_let_3 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 B) (tptp.m1_relset_1 C _let_3 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 B) (tptp.m1_relset_1 E _let_2 B)) (and (tptp.v3_vectsp_2 _let_1 A) (tptp.l1_vectsp_2 _let_1 A))))))) _let_4 true true true (forall ((A $$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 $$unsorted)) (=> (tptp.l3_vectsp_1 A) (and (tptp.l1_rlvect_1 A) (tptp.l2_vectsp_1 A)))) true _let_3 true (forall ((A $$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)) (=> (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)))))) (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 $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.76/0.95 )
% 0.76/0.95 % SZS output end Proof for ALG220+1
% 0.76/0.95 % cvc5---1.0.5 exiting
% 0.76/0.95 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------