TSTP Solution File: GRP618+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP618+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 00:26:36 EDT 2023
% Result : Theorem 0.22s 0.64s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP618+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n012.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 22:38:54 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.64 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.QfzRP4F8Js/cvc5---1.0.5_17039.p...
% 0.22/0.64 ------- get file name : TPTP file name is GRP618+1
% 0.22/0.64 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17039.smt2...
% 0.22/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.64 % SZS status Theorem for GRP618+1
% 0.22/0.64 % SZS output start Proof for GRP618+1
% 0.22/0.64 (
% 0.22/0.64 (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (=> (tptp.v1_group_3 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 B (tptp.k2_group_3 A D C)))))))))))))) (let ((_let_2 (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)) (=> (tptp.m1_group_2 B A) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 B (tptp.k2_group_3 A D C))))))) (tptp.v1_group_3 B A)))))))) (let ((_let_3 (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)) (=> (tptp.m1_group_2 B A) (= (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.r1_rlvect_1 B (tptp.k2_group_3 A D C))))))) (tptp.v1_group_3 B A))))))))) (let ((_let_4 (forall ((A $$unsorted) (BOUND_VARIABLE_1901 $$unsorted) (BOUND_VARIABLE_1899 $$unsorted) (BOUND_VARIABLE_1897 $$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_group_2 BOUND_VARIABLE_1897 A)) (not (tptp.v1_group_3 BOUND_VARIABLE_1897 A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1901 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1899 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1899 (tptp.u1_struct_0 BOUND_VARIABLE_1897))) (tptp.r1_rlvect_1 BOUND_VARIABLE_1897 (tptp.k2_group_3 A BOUND_VARIABLE_1899 BOUND_VARIABLE_1901))))))) (let ((_let_5 (tptp.r1_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k2_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)))) (let ((_let_6 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_8))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_8))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.v1_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.m1_group_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.l1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.v4_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.v3_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.v1_group_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (or _let_25 _let_24 _let_22 _let_20 _let_18 _let_16 _let_14 _let_12 _let_10 _let_7 _let_5))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (or _let_12 _let_10 _let_7 _let_5))) (let ((_let_30 (forall ((C $$unsorted) (BOUND_VARIABLE_1254 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1254 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1254 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (tptp.r1_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k2_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1254 C))))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (= _let_13 _let_30))) (let ((_let_33 (not _let_30))) (let ((_let_34 (forall ((C $$unsorted) (BOUND_VARIABLE_1786 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1786 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1786 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (tptp.r1_rlvect_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k2_group_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1786 C))))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_25 _let_24 _let_22 _let_20 _let_18 _let_16 _let_35 _let_13))) (let ((_let_37 (or _let_25 _let_24 _let_22 _let_20 _let_18 _let_16 _let_32))) (let ((_let_38 (forall ((A $$unsorted) (BOUND_VARIABLE_1285 $$unsorted)) (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_group_2 BOUND_VARIABLE_1285 A)) (= (tptp.v1_group_3 BOUND_VARIABLE_1285 A) (forall ((C $$unsorted) (BOUND_VARIABLE_1254 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1254 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1254 (tptp.u1_struct_0 BOUND_VARIABLE_1285))) (tptp.r1_rlvect_1 BOUND_VARIABLE_1285 (tptp.k2_group_3 A BOUND_VARIABLE_1254 C)))))))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (or))) (let ((_let_42 (not _let_38))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_40) :args (_let_42))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_38))) (REFL :args (_let_39)) :args _let_41)) _let_40 :args (_let_39 true _let_38)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_37 6)) _let_43 :args ((not _let_32) true _let_37)))) (let ((_let_45 (_let_32))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_37 0)) _let_43 :args ((not _let_25) true _let_37)))) (let ((_let_47 (REFL :args (_let_37)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 1)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_41)) :args ((or _let_23 _let_37))) _let_43 :args (_let_23 true _let_37)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 2)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_41)) :args ((or _let_21 _let_37))) _let_43 :args (_let_21 true _let_37)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 3)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_41)) :args ((or _let_19 _let_37))) _let_43 :args (_let_19 true _let_37)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 4)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_41)) :args ((or _let_17 _let_37))) _let_43 :args (_let_17 true _let_37)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 5)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_41)) :args ((or _let_15 _let_37))) _let_43 :args (_let_15 true _let_37)))) (let ((_let_53 (forall ((A $$unsorted) (BOUND_VARIABLE_1818 $$unsorted)) (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_group_2 BOUND_VARIABLE_1818 A)) (not (forall ((C $$unsorted) (BOUND_VARIABLE_1786 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1786 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1786 (tptp.u1_struct_0 BOUND_VARIABLE_1818))) (tptp.r1_rlvect_1 BOUND_VARIABLE_1818 (tptp.k2_group_3 A BOUND_VARIABLE_1786 C)))))) (tptp.v1_group_3 BOUND_VARIABLE_1818 A))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_30 (= C C) (= BOUND_VARIABLE_1254 BOUND_VARIABLE_1786)))) (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_25 _let_24 _let_22 _let_20 _let_18 _let_16 _let_13 _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m1_group_2 BOUND_VARIABLE_1818 A) false))))) :args (_let_53))) _let_54 :args (_let_36 false _let_53)) _let_52 _let_51 _let_50 _let_49 _let_48 _let_46 (REORDERING (CNF_EQUIV_NEG1 :args _let_45) :args ((or _let_13 _let_30 _let_32))) _let_44 :args (_let_13 true _let_34 false _let_36 false _let_15 false _let_17 false _let_19 false _let_21 false _let_23 true _let_25 false _let_30 true _let_32)))) (let ((_let_56 (_let_33))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_30))) (REFL :args (_let_31)) :args _let_41)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_45) _let_44 _let_55 :args (_let_33 true _let_32 false _let_13)) :args (_let_31 true _let_30)))) (let ((_let_58 (REFL :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r1_rlvect_1 BOUND_VARIABLE_1897 (tptp.k2_group_3 A BOUND_VARIABLE_1899 BOUND_VARIABLE_1901)) true))))) :args (_let_4))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_24 _let_22 _let_20 _let_18 _let_16 _let_14 _let_12 _let_10 _let_7 _let_5 _let_28))) _let_46 _let_48 _let_49 _let_50 _let_51 _let_52 _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_41)) :args ((or _let_11 _let_29))) _let_57 :args (_let_11 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 1)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_41)) :args ((or _let_9 _let_29))) _let_57 :args (_let_9 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 2)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_41)) :args ((or _let_6 _let_29))) _let_57 :args (_let_6 true _let_29)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 3)) _let_57 :args ((not _let_5) true _let_29)) :args (_let_28 true _let_25 false _let_23 false _let_21 false _let_19 false _let_17 false _let_15 false _let_13 false _let_11 false _let_9 false _let_6 true _let_5)) _let_27 :args (false true _let_26 false _let_4)) :args (_let_3 (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)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (exists ((A $$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.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) true true (forall ((A $$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 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$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 $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$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) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))) true 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)) (=> (tptp.v1_xboole_0 A) (tptp.v1_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 $$unsorted) (B $$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)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) (forall ((A $$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)) (tptp.l1_struct_0 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 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_group_1 A))) (=> (tptp.l1_group_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$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 $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$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 $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (=> (tptp.v1_group_1 A) (= A (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))))) (exists ((A $$unsorted)) (tptp.l1_group_1 A)) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (exists ((B $$unsorted)) (tptp.m1_group_2 B A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_group_3 A B C) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (tptp.l1_struct_0 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$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 $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v3_group_1 A)) (and _let_1 (tptp.v2_group_1 A)))))) (forall ((A $$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 $$unsorted)) (=> (tptp.m1_group_2 B A) (tptp.v4_group_1 B))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (tptp.v1_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.64 )
% 0.22/0.64 % SZS output end Proof for GRP618+1
% 0.22/0.64 % cvc5---1.0.5 exiting
% 0.22/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------