TSTP Solution File: GRP628+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 00:26:43 EDT 2023
% Result : Theorem 0.63s 0.85s
% Output : Proof 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n024.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 21:37:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.63/0.85 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.nWaZYgXIb8/cvc5---1.0.5_22220.p...
% 0.63/0.85 ------- get file name : TPTP file name is GRP628+1
% 0.63/0.85 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22220.smt2...
% 0.63/0.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.63/0.85 % SZS status Theorem for GRP628+1
% 0.63/0.85 % SZS output start Proof for GRP628+1
% 0.63/0.85 (
% 0.63/0.85 (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_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_2 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (= D B) (= (tptp.k3_group_1 C D) (tptp.k3_group_1 A B))))))))))))) (let ((_let_2 (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) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))))))) (let ((_let_3 (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_1 _let_1 (tptp.k4_autgroup A)) (tptp.m2_fraenkel B _let_1 _let_1 (tptp.k1_autgroup A))))))))) (let ((_let_4 (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_fraenkel B _let_1 _let_1 (tptp.k1_autgroup A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_autgroup A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (= B C) (= (tptp.k2_funct_1 B) (tptp.k3_group_1 _let_1 C))))))))))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_autgroup A))) (let ((_let_2 (tptp.k5_autgroup A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_group_1 _let_2) (tptp.v1_group_3 _let_2 _let_1) (tptp.m1_group_2 _let_2 _let_1)))))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_autgroup 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)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.l1_group_1 _let_1))))))) (let ((_let_7 (not (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.m2_fraenkel B _let_1 _let_1 (tptp.k4_autgroup A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_autgroup A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (=> (= B C) (= (tptp.k2_funct_1 B) (tptp.k3_group_1 _let_1 C)))))))))))))) (let ((_let_8 (tptp.k5_autgroup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.k3_group_1 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (tptp.k2_funct_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (tptp.k3_autgroup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (tptp.k3_group_1 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (= _let_10 _let_13))) (let ((_let_15 (= _let_9 _let_13))) (let ((_let_16 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.u1_struct_0 _let_8)))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.m2_fraenkel SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 _let_18 (tptp.k4_autgroup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.v1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (or _let_29 _let_28 _let_26 _let_24 _let_22 _let_20 _let_17 _let_11))) (let ((_let_31 (not _let_11))) (let ((_let_32 (forall ((A $$unsorted) (BOUND_VARIABLE_1508 $$unsorted)) (let ((_let_1 (tptp.k5_autgroup A))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v1_group_1 A)) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m2_fraenkel BOUND_VARIABLE_1508 _let_2 _let_2 (tptp.k4_autgroup A))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1508 (tptp.u1_struct_0 _let_1))) (= (tptp.k2_funct_1 BOUND_VARIABLE_1508) (tptp.k3_group_1 _let_1 BOUND_VARIABLE_1508)))))))) (let ((_let_33 (not _let_30))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (or))) (let ((_let_36 (not _let_32))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_34) :args (_let_36))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_32))) (REFL :args (_let_33)) :args _let_35)) _let_34 :args (_let_33 true _let_32)))) (let ((_let_38 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.u1_struct_0 _let_12)))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.m2_fraenkel SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 _let_18 (tptp.k1_autgroup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_29 _let_28 _let_26 _let_24 _let_22 _let_41 _let_39 _let_14))) (let ((_let_43 (forall ((A $$unsorted) (BOUND_VARIABLE_2136 $$unsorted)) (let ((_let_1 (tptp.k3_autgroup A))) (let ((_let_2 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v1_group_1 A)) (not (tptp.v3_group_1 A)) (not (tptp.v4_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m2_fraenkel BOUND_VARIABLE_2136 _let_2 _let_2 (tptp.k1_autgroup A))) (not (tptp.m1_subset_1 BOUND_VARIABLE_2136 (tptp.u1_struct_0 _let_1))) (= (tptp.k2_funct_1 BOUND_VARIABLE_2136) (tptp.k3_group_1 _let_1 BOUND_VARIABLE_2136)))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (tptp.u1_struct_0 A))) (let ((_let_46 (tptp.m1_group_2 _let_8 _let_12))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.l1_group_1 _let_12))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.v3_group_1 _let_12))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.v3_struct_0 _let_12))) (let ((_let_53 (or _let_52 _let_51 _let_49 _let_47 _let_17 _let_38))) (let ((_let_54 (forall ((A $$unsorted) (BOUND_VARIABLE_2221 $$unsorted) (BOUND_VARIABLE_2219 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v3_group_1 A)) (not (tptp.l1_group_1 A)) (not (tptp.m1_group_2 BOUND_VARIABLE_2219 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2221 (tptp.u1_struct_0 BOUND_VARIABLE_2219))) (tptp.m1_subset_1 BOUND_VARIABLE_2221 (tptp.u1_struct_0 A)))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (tptp.v4_group_1 _let_12))) (let ((_let_57 (not _let_52))) (let ((_let_58 (and _let_57 (tptp.v1_group_1 _let_12) _let_50 _let_56 _let_48))) (let ((_let_59 (or _let_29 _let_28 _let_26 _let_24 _let_22 _let_58))) (let ((_let_60 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_autgroup 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)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.l1_group_1 _let_1))))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (REFL :args (_let_30)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 4)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_35)) :args ((or _let_21 _let_30))) _let_37 :args (_let_21 true _let_30)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 3)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_35)) :args ((or _let_23 _let_30))) _let_37 :args (_let_23 true _let_30)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 2)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_35)) :args ((or _let_25 _let_30))) _let_37 :args (_let_25 true _let_30)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 1)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_35)) :args ((or _let_27 _let_30))) _let_37 :args (_let_27 true _let_30)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 0)) _let_37 :args ((not _let_29) true _let_30)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_29 _let_28 _let_26 _let_24 _let_22 _let_58 (not _let_59)))) _let_67 _let_66 _let_65 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_autgroup A)))) :args (_let_60))) _let_61 :args (_let_59 false _let_60)) :args (_let_58 true _let_29 false _let_27 false _let_25 false _let_23 false _let_21 false _let_59)))) (let ((_let_69 (not _let_58))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 4)) :args ((or _let_48 _let_69))) _let_68 :args (_let_48 false _let_58)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 2)) :args ((or _let_50 _let_69))) _let_68 :args (_let_50 false _let_58)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 0)) :args ((or _let_57 _let_69))) _let_68 :args (_let_57 false _let_58)))) (let ((_let_73 (and (tptp.v1_group_1 _let_8) (tptp.v1_group_3 _let_8 _let_12) _let_46))) (let ((_let_74 (or _let_29 _let_28 _let_26 _let_24 _let_22 _let_73))) (let ((_let_75 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_autgroup A))) (let ((_let_2 (tptp.k5_autgroup 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)) (and (tptp.v1_group_1 _let_2) (tptp.v1_group_3 _let_2 _let_1) (tptp.m1_group_2 _let_2 _let_1)))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 2)) :args ((or _let_46 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_29 _let_28 _let_26 _let_24 _let_22 _let_73 (not _let_74)))) _let_67 _let_66 _let_65 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.v3_struct_0 A) true))))) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_73 true _let_29 false _let_27 false _let_25 false _let_23 false _let_21 false _let_74)) :args (_let_46 false _let_73)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 6)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_35)) :args ((or _let_16 _let_30))) _let_37 :args (_let_16 true _let_30)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_17 _let_47 _let_52 _let_51 _let_49 _let_38 (not _let_53)))) _let_78 _let_77 _let_72 _let_71 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_group_2 BOUND_VARIABLE_2219 A) false)) (not (= (tptp.m1_subset_1 BOUND_VARIABLE_2221 (tptp.u1_struct_0 BOUND_VARIABLE_2219)) false))))) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_38 false _let_16 false _let_46 true _let_52 false _let_50 false _let_48 false _let_53)))) (let ((_let_80 (or _let_29 _let_28 _let_26 _let_24 _let_22 _let_20 _let_40))) (let ((_let_81 (forall ((A $$unsorted) (BOUND_VARIABLE_2165 $$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.m2_fraenkel BOUND_VARIABLE_2165 _let_1 _let_1 (tptp.k4_autgroup A))) (tptp.m2_fraenkel BOUND_VARIABLE_2165 _let_1 _let_1 (tptp.k1_autgroup A))))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (tptp.u1_struct_0 A))) (let ((_let_84 (not _let_56))) (let ((_let_85 (or _let_52 _let_51 _let_84 _let_49 _let_39 _let_47 _let_17 _let_15))) (let ((_let_86 (forall ((A $$unsorted) (BOUND_VARIABLE_2291 $$unsorted) (BOUND_VARIABLE_2289 $$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_subset_1 BOUND_VARIABLE_2289 (tptp.u1_struct_0 A))) (not (tptp.m1_group_2 BOUND_VARIABLE_2291 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2289 (tptp.u1_struct_0 BOUND_VARIABLE_2291))) (= (tptp.k3_group_1 A BOUND_VARIABLE_2289) (tptp.k3_group_1 BOUND_VARIABLE_2291 BOUND_VARIABLE_2289)))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (ASSUME :args (_let_15)))) (let ((_let_89 (ASSUME :args (_let_14)))) (let ((_let_90 (ASSUME :args (_let_31)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_89 _let_88 _let_90) :args (_let_31 _let_14 _let_15)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_90)) (TRUE_INTRO (TRANS (SYMM (SYMM _let_89)) (SYMM _let_88))))) :args (_let_14 _let_15 _let_31)) :args ((not (and _let_31 _let_14 _let_15)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_11))) (REFL :args ((not _let_14))) (REFL :args ((not _let_15))) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_17 _let_47 _let_52 _let_51 _let_84 _let_49 _let_39 _let_15 (not _let_85)))) _let_78 _let_77 _let_72 _let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 3)) :args ((or _let_56 _let_69))) _let_68 :args (_let_56 false _let_58)) _let_70 _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_12 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_2289 (tptp.u1_struct_0 A)) false)) (not (= (tptp.m1_group_2 BOUND_VARIABLE_2291 A) false))))) :args (_let_86)))) _let_87 :args (_let_85 false _let_86)) :args (_let_15 false _let_16 false _let_46 true _let_52 false _let_50 false _let_56 false _let_48 false _let_38 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_29 _let_28 _let_26 _let_24 _let_22 _let_41 _let_39 _let_14 (not _let_42)))) _let_67 _let_66 _let_65 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_29 _let_28 _let_26 _let_24 _let_22 _let_20 _let_40 (not _let_80)))) _let_67 _let_66 _let_65 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 5)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_35)) :args ((or _let_19 _let_30))) _let_37 :args (_let_19 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m2_fraenkel BOUND_VARIABLE_2165 _let_83 _let_83 (tptp.k4_autgroup A)) false))))) :args (_let_81))) _let_82 :args (_let_80 false _let_81)) :args (_let_40 true _let_29 false _let_27 false _let_25 false _let_23 false _let_21 false _let_19 false _let_80)) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m2_fraenkel BOUND_VARIABLE_2136 _let_45 _let_45 (tptp.k1_autgroup A)) false))))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_14 true _let_29 false _let_27 false _let_25 false _let_23 false _let_21 false _let_40 false _let_38 false _let_42)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 7)) _let_37 :args (_let_31 true _let_30)) :args (false false _let_15 false _let_14 true _let_11)) :args (_let_7 (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 $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$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)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v3_group_1 A)) (and _let_1 (tptp.v2_group_1 A)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.v4_group_1 B))))) (forall ((A $$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 $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$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)) (=> (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.k3_autgroup A) (tptp.g1_group_1 (tptp.k1_autgroup A) (tptp.k2_autgroup 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)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m1_fraenkel (tptp.k1_autgroup A) _let_1 _let_1)))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_autgroup A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k2_autgroup 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)) (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 $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) true _let_6 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_group_1 A B) _let_1)))) (forall ((A $$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_5 (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (tptp.l1_struct_0 A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_fraenkel C A B) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C)))) (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)))))) 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)) (=> (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 $$unsorted)) (exists ((C $$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 $$unsorted)) (let ((_let_1 (tptp.g1_group_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (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))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_group_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_group_2 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v2_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v1_group_3 B 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 $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$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))) (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 $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (forall ((D $$unsorted)) (= (tptp.m2_fraenkel D A B C) (tptp.m1_subset_1 D C))))) (forall ((A $$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_4 _let_3 (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 $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) _let_2 _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.63/0.86 )
% 0.63/0.86 % SZS output end Proof for GRP628+1
% 0.63/0.86 % cvc5---1.0.5 exiting
% 0.63/0.86 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------