TSTP Solution File: GRP012+5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 00:23:58 EDT 2023

% Result   : Theorem 1.73s 1.91s
% Output   : Proof 1.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n006.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   : Tue Aug 29 02:35:51 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 1.73/1.91  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wLDvRJQdiH/cvc5---1.0.5_22762.p...
% 1.73/1.91  ------- get file name : TPTP file name is GRP012+5
% 1.73/1.91  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22762.smt2...
% 1.73/1.91  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.73/1.91  % SZS status Theorem for GRP012+5
% 1.73/1.91  % SZS output start Proof for GRP012+5
% 1.73/1.91  (
% 1.73/1.91  (let ((_let_1 (not (forall ((E $$unsorted)) (=> (and (forall ((X $$unsorted) (Y $$unsorted)) (exists ((Z $$unsorted)) (tptp.product X Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.product X Y U) (tptp.product Y Z V) (tptp.product U Z W)) (tptp.product X V W))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.product X Y U) (tptp.product Y Z V) (tptp.product X V W)) (tptp.product U Z W))) (forall ((X $$unsorted)) (tptp.product X E X)) (forall ((X $$unsorted)) (tptp.product E X X)) (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) E)) (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X E))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (tptp.product (tptp.inverse U) (tptp.inverse V) W) (tptp.product V U X)) (tptp.product (tptp.inverse W) (tptp.inverse X) E)))))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.product X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)))) (let ((_let_3 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_4 (tptp.product _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3))) (let ((_let_5 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (tptp.product _let_3 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (tptp.product _let_10 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (not _let_11))) (let ((_let_13 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_16 (not _let_15))) (let ((_let_17 (forall ((X $$unsorted)) (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X X)))) (let ((_let_18 (not _let_17))) (let ((_let_19 (not _let_2))) (let ((_let_20 (or _let_19 _let_18 _let_16 _let_14 _let_12 _let_8 _let_6))) (let ((_let_21 (forall ((E $$unsorted) (BOUND_VARIABLE_699 $$unsorted) (BOUND_VARIABLE_697 $$unsorted) (BOUND_VARIABLE_695 $$unsorted) (BOUND_VARIABLE_693 $$unsorted)) (or (not (forall ((X $$unsorted)) (tptp.product X E X))) (not (forall ((X $$unsorted)) (tptp.product E X X))) (not (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) E))) (not (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X E))) (not (tptp.product (tptp.inverse BOUND_VARIABLE_693) (tptp.inverse BOUND_VARIABLE_695) BOUND_VARIABLE_697)) (not (tptp.product BOUND_VARIABLE_695 BOUND_VARIABLE_693 BOUND_VARIABLE_699)) (tptp.product (tptp.inverse BOUND_VARIABLE_697) (tptp.inverse BOUND_VARIABLE_699) E))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (or))) (let ((_let_25 (not _let_21))) (let ((_let_26 (_let_25))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_26)) :args _let_26)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_21))) (REFL :args (_let_22)) :args _let_24)) (NOT_OR_ELIM _let_23 :args (3)) :args (_let_22 true _let_21)))) (let ((_let_28 (REFL :args (_let_20)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_2))) :args _let_24)) :args ((or _let_2 _let_20))) _let_27 :args (_let_2 true _let_20)))) (let ((_let_30 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3))) (let ((_let_31 (not _let_4))) (let ((_let_32 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.product _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_31 _let_30))) (let ((_let_37 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)) (tptp.product U Z W))))) (let ((_let_38 (NOT_NOT_ELIM (NOT_OR_ELIM _let_23 :args (2))))) (let ((_let_39 (_let_37))) (let ((_let_40 (not (= (tptp.product U Z W) true)))) (let ((_let_41 (not (= (tptp.product X Y U) false)))) (let ((_let_42 (not (= (tptp.product Y Z V) false)))) (let ((_let_43 (_let_42 _let_41 _let_40))) (let ((_let_44 (ASSUME :args _let_39))) (let ((_let_45 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.product _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48 _let_46 _let_34))) (let ((_let_52 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)) (tptp.product X V W))))) (let ((_let_53 (NOT_NOT_ELIM (NOT_OR_ELIM _let_23 :args (1))))) (let ((_let_54 (_let_52))) (let ((_let_55 ((not (= (tptp.product X Y U) false)) (not (= (tptp.product Y Z V) false)) (not (= (tptp.product U Z W) false))))) (let ((_let_56 (ASSUME :args _let_54))) (let ((_let_57 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_8 _let_58 _let_47))) (let ((_let_62 (tptp.product _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63 _let_33 _let_57))) (let ((_let_67 (not (= (tptp.product X V W) false)))) (let ((_let_68 (_let_41 _let_42 _let_67))) (let ((_let_69 (tptp.product _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_63 _let_72 _let_70 _let_64))) (let ((_let_74 (tptp.product _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_12 _let_75 _let_60 _let_69))) (let ((_let_77 (forall ((Z $$unsorted)) (not (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Z))))) (let ((_let_78 (forall ((X $$unsorted) (Y $$unsorted)) (not (forall ((Z $$unsorted)) (not (tptp.product X Y Z))))))) (let ((_let_79 (not _let_77))) (let ((_let_80 (_let_78))) (let ((_let_81 (_let_79))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_81)) :args _let_81) (REWRITE :args ((=> _let_79 (not _let_60)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_77))) (REFL :args (_let_59)) :args _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_80) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_80)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_23 :args (0))) :args (_let_79 false _let_78)) :args (_let_59 true _let_77)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 3)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_24)) :args ((or _let_13 _let_20))) _let_27 :args (_let_13 true _let_20)))) (let ((_let_84 (_let_13))) (let ((_let_85 ((tptp.inverse X)))) (let ((_let_86 (ASSUME :args _let_84))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_62 false _let_13)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 2)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_24)) :args ((or _let_15 _let_20))) _let_27 :args (_let_15 true _let_20)))) (let ((_let_89 (_let_15))) (let ((_let_90 ((tptp.inverse X)))) (let ((_let_91 (ASSUME :args _let_89))) (let ((_let_92 (_let_2))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_92)) _let_29 :args (_let_32 false _let_2)))) (let ((_let_95 (_let_17))) (let ((_let_96 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_3))) (let ((_let_97 (not _let_30))) (let ((_let_98 (tptp.product _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_99 _let_97 _let_96))) (let ((_let_103 (not _let_96))) (let ((_let_104 (or _let_103 _let_101 _let_33 _let_6))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89)) _let_88 :args (_let_100 false _let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X) true))))) :args _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_33 _let_30 _let_35 _let_31 (not _let_36)))) _let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_101 _let_99 _let_96 _let_97 (not _let_102)))) _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_98 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_6 _let_101 _let_33 _let_103 (not _let_104)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_20 6)) _let_27 :args ((not _let_6) true _let_20)) _let_105 _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_5 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING (_let_42 _let_40 _let_67))) :args _let_39)) _let_38 :args (_let_104 false _let_37)) :args (_let_103 true _let_6 false _let_100 false _let_32 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_39)) _let_38 :args (_let_102 false _let_37)) :args (_let_97 false _let_100 false _let_98 true _let_96 false _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_46 _let_48 _let_34 (not _let_51)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_49 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_95) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 1)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_24)) :args ((or _let_17 _let_20))) _let_27 :args (_let_17 true _let_20)) :args (_let_45 false _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_8 _let_60 _let_58 _let_47 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 5)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_24)) :args ((or _let_7 _let_20))) _let_27 :args (_let_7 true _let_20)) _let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_63 _let_33 _let_65 _let_57 (not _let_66)))) _let_87 _let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_63 _let_70 _let_64 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89)) _let_88 :args (_let_71 false _let_15)) _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_12 _let_75 _let_60 _let_69 (not _let_76)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 4)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_24)) :args ((or _let_11 _let_20))) _let_27 :args (_let_11 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_74 false _let_13)) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_10 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_76 false _let_52)) :args (_let_69 false _let_11 false _let_74 false _let_59 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_39)) _let_38 :args (_let_73 false _let_37)) :args (_let_64 false _let_71 false _let_62 false _let_69 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_39)) _let_38 :args (_let_66 false _let_37)) :args (_let_57 false _let_62 false _let_32 false _let_64 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_61 false _let_52)) :args (_let_47 false _let_7 false _let_59 false _let_57 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_51 false _let_52)) :args (_let_34 false _let_49 false _let_45 false _let_47 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_39)) _let_38 :args (_let_36 false _let_37)) :args (_let_31 false _let_32 true _let_30 false _let_34 false _let_36)) _let_29 :args (false true _let_4 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.73/1.92  )
% 1.73/1.92  % SZS output end Proof for GRP012+5
% 1.73/1.92  % cvc5---1.0.5 exiting
% 1.73/1.92  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------