%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO014+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 13:06:26 EDT 2023

% Result   : Theorem 25.92s 26.14s
% Output   : Proof 25.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : PRO014+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 28 19:17:22 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 25.92/26.14  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.1v1ZPwGA4i/cvc5---1.0.5_31932.p...
% 25.92/26.14  ------- get file name : TPTP file name is PRO014+3
% 25.92/26.14  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31932.smt2...
% 25.92/26.14  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.92/26.14  --- Run --no-e-matching --full-saturate-quant at 5...
% 25.92/26.14  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.92/26.14  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.92/26.14  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.92/26.14  % SZS status Theorem for PRO014+3
% 25.92/26.14  % SZS output start Proof for PRO014+3
% 25.92/26.14  (
% 25.92/26.14  (let ((_let_1 (not (forall ((X166 $$unsorted) (X167 $$unsorted)) (=> (and (tptp.occurrence_of X167 tptp.tptp0) (tptp.subactivity_occurrence X166 X167) (tptp.arboreal X166) (not (tptp.leaf_occ X166 X167))) (exists ((X168 $$unsorted) (X169 $$unsorted)) (and (tptp.occurrence_of X168 tptp.tptp3) (tptp.next_subocc X166 X168 tptp.tptp0) (or (tptp.occurrence_of X169 tptp.tptp2) (tptp.occurrence_of X169 tptp.tptp1)) (tptp.min_precedes X168 X169 tptp.tptp0) (tptp.leaf X169 tptp.tptp0)))))))) (let ((_let_2 (= tptp.tptp3 tptp.tptp1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (= tptp.tptp3 tptp.tptp2))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.atomic tptp.tptp3))) (let ((_let_7 (tptp.atomic tptp.tptp0))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((X161 $$unsorted) (X162 $$unsorted)) (=> (and (tptp.occurrence_of X162 tptp.tptp0) (tptp.subactivity_occurrence X161 X162) (tptp.arboreal X161) (not (tptp.leaf_occ X161 X162))) (exists ((X163 $$unsorted) (X164 $$unsorted) (X165 $$unsorted)) (and (tptp.occurrence_of X163 tptp.tptp3) (tptp.next_subocc X161 X163 tptp.tptp0) (tptp.occurrence_of X164 tptp.tptp4) (tptp.next_subocc X163 X164 tptp.tptp0) (or (tptp.occurrence_of X165 tptp.tptp2) (tptp.occurrence_of X165 tptp.tptp1)) (tptp.next_subocc X164 X165 tptp.tptp0) (tptp.leaf X165 tptp.tptp0))))))) (let ((_let_10 (forall ((X145 $$unsorted) (X146 $$unsorted)) (=> (and (tptp.leaf X145 X146) (not (tptp.atomic X146))) (exists ((X147 $$unsorted)) (and (tptp.occurrence_of X147 X146) (tptp.leaf_occ X145 X147))))))) (let ((_let_11 (forall ((X138 $$unsorted) (X139 $$unsorted) (X140 $$unsorted) (X141 $$unsorted)) (=> (and (tptp.occurrence_of X139 X138) (tptp.subactivity_occurrence X140 X139) (tptp.leaf_occ X141 X139) (tptp.arboreal X140) (not (tptp.min_precedes X140 X141 X138))) (= X141 X140))))) (let ((_let_12 (forall ((X102 $$unsorted) (X103 $$unsorted)) (= (tptp.leaf_occ X102 X103) (exists ((X104 $$unsorted)) (and (tptp.occurrence_of X103 X104) (tptp.subactivity_occurrence X102 X103) (tptp.leaf X102 X104))))))) (let ((_let_13 (forall ((X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted) (X86 $$unsorted)) (=> (and (tptp.min_precedes X83 X84 X85) (tptp.occurrence_of X86 X85) (tptp.subactivity_occurrence X84 X86)) (tptp.subactivity_occurrence X83 X86))))) (let ((_let_14 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (not (exists ((X63 $$unsorted)) (and (tptp.min_precedes X60 X63 X62) (tptp.min_precedes X63 X61 X62))))))))) (let ((_let_15 (forall ((X16 $$unsorted) (X17 $$unsorted)) (=> (tptp.occurrence_of X16 X17) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_16 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (=> (and (tptp.occurrence_of X4 X5) (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_17 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.occurrence_of X4 X5)) (not (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_18 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp1))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_2))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_26 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp1))) (let ((_let_27 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_28 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 tptp.tptp0))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_31 _let_29 _let_27 _let_25))) (let ((_let_37 (forall ((X138 $$unsorted) (X139 $$unsorted) (X140 $$unsorted) (X141 $$unsorted)) (or (not (tptp.occurrence_of X139 X138)) (not (tptp.subactivity_occurrence X140 X139)) (not (tptp.leaf_occ X141 X139)) (not (tptp.arboreal X140)) (tptp.min_precedes X140 X141 X138) (= X140 X141))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_35 _let_40 _let_32))) (let ((_let_44 (forall ((X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted) (X86 $$unsorted)) (or (not (tptp.min_precedes X83 X84 X85)) (not (tptp.occurrence_of X86 X85)) (not (tptp.subactivity_occurrence X84 X86)) (tptp.subactivity_occurrence X83 X86))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_35 _let_48 _let_39))) (let ((_let_52 (and _let_47 (not (forall ((X104 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 X104)) (not (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X104)))))))) (let ((_let_53 (= _let_30 _let_52))) (let ((_let_54 (forall ((X102 $$unsorted) (X103 $$unsorted)) (= (tptp.leaf_occ X102 X103) (and (tptp.subactivity_occurrence X102 X103) (not (forall ((X104 $$unsorted)) (or (not (tptp.occurrence_of X103 X104)) (not (tptp.leaf X102 X104)))))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (or _let_35 _let_31))) (let ((_let_57 (forall ((X147 $$unsorted)) (or (not (tptp.occurrence_of X147 tptp.tptp0)) (not (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X147)))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (not _let_57))) (let ((_let_60 (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_7 _let_59))) (let ((_let_63 (forall ((X145 $$unsorted) (X146 $$unsorted)) (or (not (tptp.leaf X145 X146)) (tptp.atomic X146) (not (forall ((X147 $$unsorted)) (or (not (tptp.occurrence_of X147 X146)) (not (tptp.leaf_occ X145 X147))))))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_66 (not _let_65))) (let ((_let_67 (not _let_26))) (let ((_let_68 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp2))) (let ((_let_69 (not _let_68))) (let ((_let_70 (and _let_69 _let_67))) (let ((_let_71 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_21 _let_74 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp4)) _let_72 _let_70 _let_66 _let_61))) (let ((_let_76 (forall ((X163 $$unsorted) (X164 $$unsorted) (X165 $$unsorted)) (or (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X163 tptp.tptp0)) (not (tptp.occurrence_of X164 tptp.tptp4)) (not (tptp.next_subocc X163 X164 tptp.tptp0)) (and (not (tptp.occurrence_of X165 tptp.tptp2)) (not (tptp.occurrence_of X165 tptp.tptp1))) (not (tptp.next_subocc X164 X165 tptp.tptp0)) (not (tptp.leaf X165 tptp.tptp0)))))) (let ((_let_77 (not _let_75))) (let ((_let_78 (not _let_76))) (let ((_let_79 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_80 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_83 _let_81 _let_79 _let_78))) (let ((_let_87 (forall ((X161 $$unsorted) (X162 $$unsorted)) (or (not (tptp.occurrence_of X162 tptp.tptp0)) (not (tptp.subactivity_occurrence X161 X162)) (not (tptp.arboreal X161)) (tptp.leaf_occ X161 X162) (not (forall ((X163 $$unsorted) (X164 $$unsorted) (X165 $$unsorted)) (or (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.next_subocc X161 X163 tptp.tptp0)) (not (tptp.occurrence_of X164 tptp.tptp4)) (not (tptp.next_subocc X163 X164 tptp.tptp0)) (and (not (tptp.occurrence_of X165 tptp.tptp2)) (not (tptp.occurrence_of X165 tptp.tptp1))) (not (tptp.next_subocc X164 X165 tptp.tptp0)) (not (tptp.leaf X165 tptp.tptp0))))))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (forall ((X168 $$unsorted) (X169 $$unsorted)) (or (not (tptp.occurrence_of X168 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X168 tptp.tptp0)) (and (not (tptp.occurrence_of X169 tptp.tptp2)) (not (tptp.occurrence_of X169 tptp.tptp1))) (not (tptp.min_precedes X168 X169 tptp.tptp0)) (not (tptp.leaf X169 tptp.tptp0)))))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_85 _let_83 _let_81 _let_79 _let_90))) (let ((_let_92 (forall ((X166 $$unsorted) (X167 $$unsorted)) (or (not (tptp.occurrence_of X167 tptp.tptp0)) (not (tptp.subactivity_occurrence X166 X167)) (not (tptp.arboreal X166)) (tptp.leaf_occ X166 X167) (not (forall ((X168 $$unsorted) (X169 $$unsorted)) (or (not (tptp.occurrence_of X168 tptp.tptp3)) (not (tptp.next_subocc X166 X168 tptp.tptp0)) (and (not (tptp.occurrence_of X169 tptp.tptp2)) (not (tptp.occurrence_of X169 tptp.tptp1))) (not (tptp.min_precedes X168 X169 tptp.tptp0)) (not (tptp.leaf X169 tptp.tptp0))))))))) (let ((_let_93 (not _let_91))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (or))) (let ((_let_96 (not _let_92))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_94) :args (_let_96))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_92))) (REFL :args (_let_93)) :args _let_95)) _let_94 :args (_let_93 true _let_92)))) (let ((_let_98 (REFL :args (_let_91)))) (let ((_let_99 (_let_78))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_99)) :args _let_99)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_76))) (REFL :args (_let_77)) :args _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_85 _let_83 _let_81 _let_79 _let_78 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 0)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_84))) :args _let_95)) :args ((or _let_84 _let_91))) _let_97 :args (_let_84 true _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 1)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_82))) :args _let_95)) :args ((or _let_82 _let_91))) _let_97 :args (_let_82 true _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 2)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_95)) :args ((or _let_80 _let_91))) _let_97 :args (_let_80 true _let_91)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_91 3)) _let_97 :args ((not _let_79) true _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subactivity_occurrence X161 X162) false))))) :args (_let_87))) _let_88 :args (_let_86 false _let_87)) :args (_let_78 false _let_84 false _let_82 false _let_80 true _let_79 false _let_86)) :args (_let_77 true _let_76)))) (let ((_let_101 (REFL :args (_let_75)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 6)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_95)) :args ((or _let_60 _let_75))) _let_100 :args (_let_60 true _let_75)))) (let ((_let_103 (_let_59))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_103)) :args _let_103)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_57))) (REFL :args (_let_58)) :args _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_7 _let_61 _let_59 (not _let_62)))) (ASSUME :args (_let_8)) _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leaf X145 X146) false))))) :args (_let_63))) _let_64 :args (_let_62 false _let_63)) :args (_let_59 true _let_7 false _let_60 false _let_62)) :args (_let_58 true _let_57)))) (let ((_let_105 (REFL :args (_let_56)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 1)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_95)) :args ((or _let_30 _let_56))) _let_104 :args (_let_30 true _let_56)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 0)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_95)) :args ((or _let_34 _let_56))) _let_104 :args (_let_34 true _let_56)))) (let ((_let_108 (and _let_49 (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 X63 tptp.tptp0)) (not (tptp.min_precedes X63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))))))) (let ((_let_109 (= _let_65 _let_108))) (let ((_let_110 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes X60 X63 X62)) (not (tptp.min_precedes X63 X61 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_let_25))) (let ((_let_133 (ASSUME :args (_let_127)))) (let ((_let_134 (APPLY_UF tptp.occurrence_of))) (let ((_let_135 (ASSUME :args (_let_25)))) (let ((_let_136 (SYMM (SYMM _let_135)))) (let ((_let_137 (_let_70))) (let ((_let_138 (and _let_26 _let_25))) (let ((_let_139 (_let_26 _let_25))) (let ((_let_140 (ASSUME :args (_let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3 tptp.tptp1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_2 _let_21 _let_19 _let_24))) (ASSUME :args (_let_3)) _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_138)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_140 _let_135) (SCOPE (TRUE_ELIM (TRANS (CONG _let_136 (REFL :args (tptp.tptp1)) :args _let_134) (TRUE_INTRO _let_140))) :args _let_139)) :args _let_139)) :args (true _let_138)) :args ((or _let_67 _let_18 _let_130))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_137) (CONG (REFL :args _let_137) (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_26))) :args _let_95)) :args ((or _let_68 _let_26 _let_70))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_131)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_133 _let_135) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_136) (REFL :args (tptp.tptp2)) :args _let_134) (FALSE_INTRO _let_133))) :args _let_132)) :args _let_132)) :args (true _let_131)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_126))) (REFL :args (_let_130)) (REFL :args (_let_69)) :args _let_95)) :args ((or _let_69 _let_126 _let_130))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_4 _let_21 _let_127 (not _let_128)))) (ASSUME :args (_let_5)) _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3 tptp.tptp2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_129)) _let_23 :args (_let_128 false _let_17)) :args (_let_127 true _let_4 false _let_20 false _let_128)) _let_125 :args (_let_69 true _let_126 false _let_25)) _let_124 :args (_let_26 true _let_68 true _let_70)) _let_125 :args (_let_18 false _let_26 false _let_25)) :args (_let_24 true _let_2 false _let_20 false _let_18)) _let_23 :args (false true _let_22 false _let_17)) :args ((forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.occurrence_of X1 X0) (and (tptp.activity X0) (tptp.activity_occurrence X1)))) (forall ((X2 $$unsorted)) (=> (tptp.activity_occurrence X2) (exists ((X3 $$unsorted)) (and (tptp.activity X3) (tptp.occurrence_of X2 X3))))) _let_16 (forall ((X7 $$unsorted)) (=> (tptp.activity X7) (tptp.subactivity X7 X7))) (forall ((X8 $$unsorted) (X9 $$unsorted)) (=> (tptp.earlier X8 X9) (not (tptp.earlier X9 X8)))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X12 $$unsorted)) (=> (and (tptp.earlier X10 X11) (tptp.earlier X11 X12)) (tptp.earlier X10 X12))) (forall ((X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (=> (and (tptp.earlier X13 X14) (tptp.earlier X15 X14)) (or (tptp.earlier X15 X13) (tptp.earlier X13 X15) (= X13 X15)))) _let_15 (forall ((X18 $$unsorted)) (=> (tptp.legal X18) (tptp.arboreal X18))) (forall ((X19 $$unsorted) (X20 $$unsorted)) (=> (and (tptp.legal X19) (tptp.earlier X20 X19)) (tptp.legal X20))) (forall ((X21 $$unsorted) (X22 $$unsorted)) (= (tptp.precedes X21 X22) (and (tptp.earlier X21 X22) (tptp.legal X22)))) (forall ((X23 $$unsorted) (X24 $$unsorted) (X25 $$unsorted)) (=> (tptp.min_precedes X24 X25 X23) (exists ((X26 $$unsorted) (X27 $$unsorted)) (and (tptp.subactivity X26 X23) (tptp.subactivity X27 X23) (tptp.atocc X24 X26) (tptp.atocc X25 X27))))) (forall ((X28 $$unsorted) (X29 $$unsorted)) (=> (tptp.root X29 X28) (exists ((X30 $$unsorted)) (and (tptp.subactivity X30 X28) (tptp.atocc X29 X30))))) (forall ((X31 $$unsorted) (X32 $$unsorted) (X33 $$unsorted)) (=> (tptp.min_precedes X31 X32 X33) (exists ((X34 $$unsorted)) (and (tptp.root X34 X33) (tptp.min_precedes X34 X32 X33))))) (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (tptp.min_precedes X35 X36 X37) (not (tptp.root X36 X37)))) (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.min_precedes X38 X39 X40) (tptp.precedes X38 X39))) (forall ((X41 $$unsorted) (X42 $$unsorted)) (=> (tptp.root X41 X42) (tptp.legal X41))) (forall ((X43 $$unsorted) (X44 $$unsorted)) (=> (and (tptp.atocc X43 X44) (tptp.legal X43)) (tptp.root X43 X44))) (forall ((X45 $$unsorted) (X46 $$unsorted) (X47 $$unsorted) (X48 $$unsorted)) (=> (and (tptp.min_precedes X45 X46 X48) (tptp.min_precedes X45 X47 X48) (tptp.precedes X46 X47)) (tptp.min_precedes X46 X47 X48))) (forall ((X49 $$unsorted) (X50 $$unsorted) (X51 $$unsorted)) (=> (tptp.min_precedes X49 X50 X51) (not (tptp.atomic X51)))) (forall ((X52 $$unsorted) (X53 $$unsorted) (X54 $$unsorted) (X55 $$unsorted)) (=> (and (tptp.min_precedes X53 X52 X55) (tptp.min_precedes X54 X52 X55) (tptp.precedes X53 X54)) (tptp.min_precedes X53 X54 X55))) (forall ((X56 $$unsorted) (X57 $$unsorted)) (= (tptp.leaf X56 X57) (and (or (tptp.root X56 X57) (exists ((X58 $$unsorted)) (tptp.min_precedes X58 X56 X57))) (not (exists ((X59 $$unsorted)) (tptp.min_precedes X56 X59 X57)))))) _let_14 (forall ((X64 $$unsorted) (X65 $$unsorted)) (= (tptp.atocc X64 X65) (exists ((X66 $$unsorted)) (and (tptp.subactivity X65 X66) (tptp.atomic X66) (tptp.occurrence_of X64 X66))))) (forall ((X67 $$unsorted) (X68 $$unsorted)) (=> (tptp.subactivity_occurrence X67 X68) (and (tptp.activity_occurrence X67) (tptp.activity_occurrence X68)))) (forall ((X69 $$unsorted) (X70 $$unsorted) (X71 $$unsorted)) (=> (tptp.min_precedes X70 X71 X69) (exists ((X72 $$unsorted)) (and (tptp.occurrence_of X72 X69) (tptp.subactivity_occurrence X70 X72) (tptp.subactivity_occurrence X71 X72))))) (forall ((X73 $$unsorted) (X74 $$unsorted)) (=> (and (tptp.root X74 X73) (not (tptp.atomic X73))) (exists ((X75 $$unsorted)) (and (tptp.occurrence_of X75 X73) (tptp.subactivity_occurrence X74 X75))))) (forall ((X76 $$unsorted) (X77 $$unsorted)) (=> (and (tptp.occurrence_of X77 X76) (not (tptp.atomic X76))) (exists ((X78 $$unsorted)) (and (tptp.root X78 X76) (tptp.subactivity_occurrence X78 X77))))) (forall ((X79 $$unsorted) (X80 $$unsorted) (X81 $$unsorted) (X82 $$unsorted)) (=> (and (tptp.occurrence_of X80 X79) (tptp.arboreal X81) (tptp.arboreal X82) (tptp.subactivity_occurrence X81 X80) (tptp.subactivity_occurrence X82 X80)) (or (tptp.min_precedes X81 X82 X79) (tptp.min_precedes X82 X81 X79) (= X81 X82)))) _let_13 (forall ((X87 $$unsorted) (X88 $$unsorted) (X89 $$unsorted) (X90 $$unsorted)) (=> (and (tptp.occurrence_of X89 X87) (tptp.occurrence_of X90 X88) (not (tptp.atomic X87)) (tptp.subactivity_occurrence X89 X90)) (tptp.subactivity X87 X88))) (forall ((X91 $$unsorted) (X92 $$unsorted) (X93 $$unsorted)) (=> (and (tptp.subactivity_occurrence X91 X92) (tptp.subactivity_occurrence X92 X93)) (tptp.subactivity_occurrence X91 X93))) (forall ((X94 $$unsorted) (X95 $$unsorted) (X96 $$unsorted) (X97 $$unsorted)) (=> (and (tptp.occurrence_of X96 X94) (tptp.occurrence_of X97 X95) (tptp.subactivity X94 X95) (not (tptp.subactivity_occurrence X96 X97))) (exists ((X98 $$unsorted)) (and (tptp.subactivity_occurrence X98 X97) (not (tptp.subactivity_occurrence X98 X96)))))) (forall ((X99 $$unsorted) (X100 $$unsorted)) (= (tptp.root_occ X99 X100) (exists ((X101 $$unsorted)) (and (tptp.occurrence_of X100 X101) (tptp.subactivity_occurrence X99 X100) (tptp.root X99 X101))))) _let_12 (forall ((X105 $$unsorted) (X106 $$unsorted) (X107 $$unsorted) (X108 $$unsorted)) (=> (and (tptp.occurrence_of X107 X108) (tptp.root_occ X105 X107) (tptp.root_occ X106 X107)) (= X105 X106))) (forall ((X109 $$unsorted) (X110 $$unsorted) (X111 $$unsorted) (X112 $$unsorted)) (=> (and (tptp.occurrence_of X111 X112) (not (tptp.atomic X112)) (tptp.leaf_occ X109 X111) (tptp.leaf_occ X110 X111)) (= X109 X110))) (forall ((X113 $$unsorted) (X114 $$unsorted) (X115 $$unsorted)) (=> (and (tptp.occurrence_of X113 X115) (tptp.leaf_occ X114 X113)) (not (exists ((X116 $$unsorted)) (tptp.min_precedes X114 X116 X115))))) (forall ((X117 $$unsorted) (X118 $$unsorted) (X119 $$unsorted)) (=> (and (tptp.occurrence_of X117 X119) (tptp.root_occ X118 X117)) (not (exists ((X120 $$unsorted)) (tptp.min_precedes X120 X118 X119))))) (forall ((X121 $$unsorted) (X122 $$unsorted) (X123 $$unsorted) (X124 $$unsorted) (X125 $$unsorted)) (=> (and (tptp.next_subocc X121 X122 X124) (tptp.next_subocc X121 X123 X124) (tptp.occurrence_of X125 X124) (tptp.subactivity_occurrence X123 X125) (tptp.subactivity_occurrence X122 X125)) (= X122 X123))) (forall ((X126 $$unsorted) (X127 $$unsorted) (X128 $$unsorted) (X129 $$unsorted)) (=> (and (tptp.next_subocc X127 X126 X129) (tptp.next_subocc X128 X126 X129)) (= X127 X128))) (forall ((X130 $$unsorted) (X131 $$unsorted) (X132 $$unsorted) (X133 $$unsorted)) (=> (and (tptp.occurrence_of X130 X133) (tptp.leaf_occ X131 X130) (tptp.root_occ X132 X130) (not (= X131 X132))) (tptp.min_precedes X132 X131 X133))) (forall ((X134 $$unsorted) (X135 $$unsorted) (X136 $$unsorted) (X137 $$unsorted)) (=> (and (tptp.occurrence_of X135 X134) (tptp.subactivity_occurrence X136 X135) (tptp.root_occ X137 X135) (tptp.arboreal X136) (not (tptp.min_precedes X137 X136 X134))) (= X137 X136))) _let_11 (forall ((X142 $$unsorted) (X143 $$unsorted) (X144 $$unsorted)) (=> (tptp.next_subocc X142 X143 X144) (and (tptp.arboreal X142) (tptp.arboreal X143)))) _let_10 (forall ((X148 $$unsorted) (X149 $$unsorted) (X150 $$unsorted)) (=> (tptp.min_precedes X148 X149 X150) (tptp.arboreal X148))) (forall ((X151 $$unsorted) (X152 $$unsorted) (X153 $$unsorted) (X154 $$unsorted) (X155 $$unsorted)) (=> (and (tptp.occurrence_of X152 X151) (tptp.root_occ X154 X152) (tptp.leaf_occ X155 X152) (tptp.subactivity_occurrence X153 X152) (tptp.min_precedes X153 X155 X151) (not (= X153 X154))) (tptp.min_precedes X154 X153 X151))) (forall ((X156 $$unsorted) (X157 $$unsorted) (X158 $$unsorted) (X159 $$unsorted) (X160 $$unsorted)) (=> (and (tptp.occurrence_of X157 X156) (tptp.root_occ X159 X157) (tptp.leaf_occ X160 X157) (tptp.subactivity_occurrence X158 X157) (tptp.min_precedes X159 X158 X156) (not (= X158 X160))) (tptp.min_precedes X158 X160 X156))) _let_9 (tptp.activity tptp.tptp0) _let_8 (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp2) (tptp.atomic tptp.tptp1) _let_6 (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) (not (= tptp.tptp4 tptp.tptp1)) _let_5 _let_3 (not (= tptp.tptp2 tptp.tptp1)) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.92/26.14  )
% 25.92/26.14  % SZS output end Proof for PRO014+3
% 25.92/26.14  % cvc5---1.0.5 exiting
% 25.92/26.14  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------