%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO004+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:06:17 EDT 2023

% Result   : Theorem 26.91s 27.17s
% Output   : Proof 26.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : PRO004+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11  % Command    : do_cvc5 %s %d
% 0.11/0.31  % Computer : n021.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Aug 28 19:10:13 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.16/0.43  %----Proving TF0_NAR, FOF, or CNF
% 26.91/27.17  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.nUjXnHSz9z/cvc5---1.0.5_16701.p...
% 26.91/27.17  ------- get file name : TPTP file name is PRO004+3
% 26.91/27.17  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16701.smt2...
% 26.91/27.17  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.91/27.17  --- Run --no-e-matching --full-saturate-quant at 5...
% 26.91/27.17  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.91/27.17  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.91/27.17  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.91/27.17  % SZS status Theorem for PRO004+3
% 26.91/27.17  % SZS output start Proof for PRO004+3
% 26.91/27.17  (
% 26.91/27.17  (let ((_let_1 (not (not (exists ((X171 $$unsorted)) (tptp.occurrence_of X171 tptp.tptp0)))))) (let ((_let_2 (forall ((X168 $$unsorted) (X169 $$unsorted)) (=> (and (tptp.occurrence_of X169 tptp.tptp0) (tptp.subactivity_occurrence X168 X169) (tptp.arboreal X168) (not (tptp.leaf_occ X168 X169))) (exists ((X170 $$unsorted)) (and (tptp.occurrence_of X170 tptp.tptp1) (tptp.next_subocc X168 X170 tptp.tptp0))))))) (let ((_let_3 (forall ((X164 $$unsorted) (X165 $$unsorted)) (=> (and (tptp.occurrence_of X165 tptp.tptp0) (tptp.subactivity_occurrence X164 X165) (tptp.arboreal X164) (not (tptp.leaf_occ X164 X165))) (tptp.root_occ X164 X165))))) (let ((_let_4 (not (= tptp.tptp1 tptp.tptp3)))) (let ((_let_5 (tptp.atomic tptp.tptp1))) (let ((_let_6 (tptp.atomic tptp.tptp0))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((X161 $$unsorted)) (=> (tptp.occurrence_of X161 tptp.tptp0) (exists ((X162 $$unsorted) (X163 $$unsorted)) (and (tptp.occurrence_of X162 tptp.tptp4) (tptp.root_occ X162 X161) (tptp.occurrence_of X163 tptp.tptp3) (tptp.leaf_occ X163 X161) (tptp.next_subocc X162 X163 tptp.tptp0))))))) (let ((_let_9 (forall ((X134 $$unsorted) (X135 $$unsorted) (X136 $$unsorted) (X137 $$unsorted)) (=> (and (tptp.occurrence_of X135 X134) (tptp.subactivity_occurrence X136 X135) (tptp.root_occ X137 X135) (tptp.arboreal X136) (not (tptp.min_precedes X137 X136 X134))) (= X137 X136))))) (let ((_let_10 (forall ((X117 $$unsorted) (X118 $$unsorted) (X119 $$unsorted)) (=> (and (tptp.occurrence_of X117 X119) (tptp.root_occ X118 X117)) (not (exists ((X120 $$unsorted)) (tptp.min_precedes X120 X118 X119))))))) (let ((_let_11 (forall ((X113 $$unsorted) (X114 $$unsorted) (X115 $$unsorted)) (=> (and (tptp.occurrence_of X113 X115) (tptp.leaf_occ X114 X113)) (not (exists ((X116 $$unsorted)) (tptp.min_precedes X114 X116 X115))))))) (let ((_let_12 (forall ((X109 $$unsorted) (X110 $$unsorted) (X111 $$unsorted) (X112 $$unsorted)) (=> (and (tptp.occurrence_of X111 X112) (not (tptp.atomic X112)) (tptp.leaf_occ X109 X111) (tptp.leaf_occ X110 X111)) (= X109 X110))))) (let ((_let_13 (forall ((X76 $$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))))))) (let ((_let_14 (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))))))) (let ((_let_15 (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_16 (forall ((X41 $$unsorted) (X42 $$unsorted)) (=> (tptp.root X41 X42) (tptp.legal X41))))) (let ((_let_17 (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (tptp.min_precedes X35 X36 X37) (not (tptp.root X36 X37)))))) (let ((_let_18 (forall ((X18 $$unsorted)) (=> (tptp.legal X18) (tptp.arboreal X18))))) (let ((_let_19 (forall ((X16 $$unsorted) (X17 $$unsorted)) (=> (tptp.occurrence_of X16 X17) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_20 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (=> (and (tptp.occurrence_of X4 X5) (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_21 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.occurrence_of X4 X5)) (not (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_22 (= tptp.tptp3 tptp.tptp1))) (let ((_let_23 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp1))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp3))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_154))) (let ((_let_31 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_154 tptp.tptp3))) (let ((_let_32 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_154 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 tptp.tptp0))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_6 _let_35 _let_33 _let_30))) (let ((_let_39 (forall ((X109 $$unsorted) (X110 $$unsorted) (X111 $$unsorted) (X112 $$unsorted)) (or (not (tptp.occurrence_of X111 X112)) (tptp.atomic X112) (not (tptp.leaf_occ X109 X111)) (not (tptp.leaf_occ X110 X111)) (= X109 X110))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (not _let_31))) (let ((_let_42 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_153 tptp.tptp4)) (not (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_153 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52)) _let_41 _let_33 (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_153 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_154 tptp.tptp0))))) (let ((_let_43 (forall ((X162 $$unsorted) (X163 $$unsorted)) (or (not (tptp.occurrence_of X162 tptp.tptp4)) (not (tptp.root_occ X162 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52)) (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.leaf_occ X163 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52)) (not (tptp.next_subocc X162 X163 tptp.tptp0)))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (not _let_43))) (let ((_let_46 (or _let_37 _let_45))) (let ((_let_47 (forall ((X161 $$unsorted)) (or (not (tptp.occurrence_of X161 tptp.tptp0)) (not (forall ((X162 $$unsorted) (X163 $$unsorted)) (or (not (tptp.occurrence_of X162 tptp.tptp4)) (not (tptp.root_occ X162 X161)) (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.leaf_occ X163 X161)) (not (tptp.next_subocc X162 X163 tptp.tptp0))))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 ((not (= (tptp.occurrence_of X161 tptp.tptp0) false))))) (let ((_let_51 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_37 (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52)) _let_52))) (let ((_let_54 (forall ((X72 $$unsorted)) (or (not (tptp.occurrence_of X72 tptp.tptp0)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X72)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 X72)))))) (let ((_let_55 (not _let_53))) (let ((_let_56 (not _let_54))) (let ((_let_57 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp0))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (forall ((X69 $$unsorted) (X70 $$unsorted) (X71 $$unsorted)) (or (not (tptp.min_precedes X70 X71 X69)) (not (forall ((X72 $$unsorted)) (or (not (tptp.occurrence_of X72 X69)) (not (tptp.subactivity_occurrence X70 X72)) (not (tptp.subactivity_occurrence X71 X72))))))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (and _let_57 (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X63 tptp.tptp0)) (not (tptp.min_precedes X63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp0))))))) (let ((_let_63 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp0))) (let ((_let_64 (= _let_63 _let_62))) (let ((_let_65 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes X60 X63 X62)) (not (tptp.min_precedes X63 X61 X62))))))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (_let_65))) (let ((_let_68 ((tptp.next_subocc X60 X61 X62)))) (let ((_let_69 (not _let_63))) (let ((_let_70 (or _let_24 _let_69))) (let ((_let_71 (forall ((X170 $$unsorted)) (or (not (tptp.occurrence_of X170 tptp.tptp1)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X170 tptp.tptp0)))))) (let ((_let_72 (not _let_70))) (let ((_let_73 (not _let_71))) (let ((_let_74 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_75 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_78 _let_76 _let_74 _let_73))) (let ((_let_82 (forall ((X168 $$unsorted) (X169 $$unsorted)) (or (not (tptp.occurrence_of X169 tptp.tptp0)) (not (tptp.subactivity_occurrence X168 X169)) (not (tptp.arboreal X168)) (tptp.leaf_occ X168 X169) (not (forall ((X170 $$unsorted)) (or (not (tptp.occurrence_of X170 tptp.tptp1)) (not (tptp.next_subocc X168 X170 tptp.tptp0))))))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (tptp.legal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_75))) (let ((_let_87 (forall ((X18 $$unsorted)) (or (not (tptp.legal X18)) (tptp.arboreal X18))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_84))) (let ((_let_92 (forall ((X41 $$unsorted) (X42 $$unsorted)) (or (not (tptp.root X41 X42)) (tptp.legal X41))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (or _let_90 _let_78))) (let ((_let_95 (forall ((X78 $$unsorted)) (or (not (tptp.root X78 tptp.tptp0)) (not (tptp.subactivity_occurrence X78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_96 (not _let_94))) (let ((_let_97 (not _let_95))) (let ((_let_98 (or _let_80 _let_6 _let_97))) (let ((_let_99 (forall ((X76 $$unsorted) (X77 $$unsorted)) (or (not (tptp.occurrence_of X77 X76)) (tptp.atomic X76) (not (forall ((X78 $$unsorted)) (or (not (tptp.root X78 X76)) (not (tptp.subactivity_occurrence X78 X77))))))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (forall ((X171 $$unsorted)) (not (tptp.occurrence_of X171 tptp.tptp0))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (or))) (let ((_let_104 (not _let_101))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_102) :args (_let_104)) (REWRITE :args ((=> _let_104 (not _let_80)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_101))) (REFL :args (_let_79)) :args _let_103)) _let_102 :args (_let_79 true _let_101)))) (let ((_let_106 (ASSUME :args (_let_7)))) (let ((_let_107 (_let_97))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_107)) :args _let_107)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_95))) (REFL :args (_let_96)) :args _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_6 _let_80 _let_97 (not _let_98)))) _let_106 _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X77 X76) false))))) :args (_let_99))) _let_100 :args (_let_98 false _let_99)) :args (_let_97 true _let_6 false _let_79 false _let_98)) :args (_let_96 true _let_95)))) (let ((_let_109 (REFL :args (_let_94)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_94 0)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_89))) :args _let_103)) :args ((or _let_89 _let_94))) _let_108 :args (_let_89 true _let_94)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_75 _let_85 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_90 _let_84 (not _let_91)))) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.root X41 X42) false))))) :args (_let_92))) _let_93 :args (_let_91 false _let_92)) :args (_let_84 false _let_89 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_87))) _let_88 :args (_let_86 false _let_87)) :args (_let_75 false _let_84 false _let_86)))) (let ((_let_112 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_113 (not _let_112))) (let ((_let_114 (not _let_74))) (let ((_let_115 (or _let_80 _let_114 _let_113))) (let ((_let_116 (forall ((X113 $$unsorted) (X114 $$unsorted) (X115 $$unsorted) (BOUND_VARIABLE_1635 $$unsorted)) (or (not (tptp.occurrence_of X113 X115)) (not (tptp.leaf_occ X114 X113)) (not (tptp.min_precedes X114 BOUND_VARIABLE_1635 X115)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_119 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_120 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0))) (let ((_let_121 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_80 _let_78 _let_122 _let_76 _let_120 _let_118))) (let ((_let_124 (forall ((X134 $$unsorted) (X135 $$unsorted) (X136 $$unsorted) (X137 $$unsorted)) (or (not (tptp.occurrence_of X135 X134)) (not (tptp.subactivity_occurrence X136 X135)) (not (tptp.root_occ X137 X135)) (not (tptp.arboreal X136)) (tptp.min_precedes X137 X136 X134) (= X136 X137))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (not _let_120))) (let ((_let_127 (or _let_126 _let_90))) (let ((_let_128 (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (or (not (tptp.min_precedes X35 X36 X37)) (not (tptp.root X36 X37)))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.tptp4)) _let_122 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3)) (not (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_131))) (let ((_let_133 (forall ((X162 $$unsorted) (X163 $$unsorted)) (or (not (tptp.occurrence_of X162 tptp.tptp4)) (not (tptp.root_occ X162 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(_let_132)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_94 1)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_103)) :args ((or _let_77 _let_94))) _let_108 :args (_let_77 true _let_94)))) (let ((_let_141 (and _let_119 (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X63 tptp.tptp0)) (not (tptp.min_precedes X63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))))))) (let ((_let_142 (= _let_130 _let_141))) (let ((_let_143 (and _let_119 _let_118))) (let ((_let_144 (_let_119 _let_118))) (let ((_let_145 (ASSUME :args (_let_119)))) (let ((_let_146 (ASSUME :args (_let_118)))) (let ((_let_147 (_let_73))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_147)) :args _let_147)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_71))) (REFL :args (_let_72)) :args _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS 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_let_58))) (let ((_let_166 (forall ((X117 $$unsorted) (X118 $$unsorted) (X119 $$unsorted) (BOUND_VARIABLE_1655 $$unsorted)) (or (not (tptp.occurrence_of X117 X119)) (not (tptp.root_occ X118 X117)) (not (tptp.min_precedes BOUND_VARIABLE_1655 X118 X119)))))) (let ((_let_167 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_168 (= _let_5 _let_159))) (let ((_let_169 (or _let_24 _let_168))) (let ((_let_170 (forall ((X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.occurrence_of X16 X17)) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_171 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 0)) (CONG _let_149 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_103)) :args ((or _let_23 _let_70))) _let_148 :args (_let_23 true _let_70)))) (let ((_let_173 (and _let_31 _let_30))) (let ((_let_174 (_let_31 _let_30))) (let ((_let_175 (ASSUME :args (_let_31)))) (let ((_let_176 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp3 tptp.tptp1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_21))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_22 _let_24 _let_26 _let_29))) (SYMM (ASSUME :args (_let_4))) _let_172 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_173)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_175 _let_176) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_176)) (REFL :args (tptp.tptp3)) :args (APPLY_UF tptp.occurrence_of)) (TRUE_INTRO _let_175))) :args _let_174)) :args _let_174)) :args (true _let_173)) :args ((or _let_25 _let_41 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 2)) (CONG _let_157 (MACRO_SR_PRED_INTRO :args ((= (not 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(_let_159 false _let_5 false _let_168)) _let_154 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 2)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_103)) :args ((or _let_51 _let_53))) _let_152 :args (_let_51 true _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_165)) :args ((or _let_58 _let_37 _let_164 (not _let_165)))) _let_150 _let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_166))) _let_167 :args (_let_165 false _let_166)) :args (_let_164 false _let_57 false _let_36 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subactivity_occurrence X164 X165) false))))) :args (_let_162))) _let_163 :args (_let_161 false _let_162)) :args (_let_34 false _let_159 false _let_36 false _let_51 true _let_158 false _let_161)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 3)) (CONG _let_157 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_103)) :args ((or _let_32 _let_42))) _let_156 :args (_let_32 true _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_154 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_30 true _let_6 false _let_36 false _let_34 false _let_32 false _let_38)) :args (_let_25 false _let_31 false _let_30)) :args (_let_29 true _let_22 false _let_23 false _let_25)) _let_28 :args (false true _let_27 false _let_21)) :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 $$unsorted)) (and (tptp.activity X3) (tptp.occurrence_of X2 X3))))) _let_20 (forall ((X7 $$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_19 _let_18 (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))))) _let_17 (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.min_precedes X38 X39 X40) (tptp.precedes X38 X39))) _let_16 (forall ((X43 $$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_15 (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 $$unsorted)) (=> (tptp.subactivity_occurrence X67 X68) (and (tptp.activity_occurrence X67) (tptp.activity_occurrence X68)))) _let_14 (forall ((X73 $$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))))) _let_13 (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)))) (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))) (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 $$unsorted)) (and (tptp.occurrence_of X100 X101) (tptp.subactivity_occurrence X99 X100) (tptp.root X99 X101))))) (forall ((X102 $$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))))) (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))) _let_12 _let_11 _let_10 (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 $$unsorted)) (=> (and (tptp.occurrence_of X130 X133) (tptp.leaf_occ X131 X130) (tptp.root_occ X132 X130) (not (= X131 X132))) (tptp.min_precedes X132 X131 X133))) _let_9 (forall ((X138 $$unsorted) (X139 $$unsorted) (X140 $$unsorted) (X141 $$unsorted)) (=> (and (tptp.occurrence_of X139 X138) (tptp.subactivity_occurrence X140 X139) (tptp.leaf_occ X141 X139) (tptp.arboreal X140) (not (tptp.min_precedes X140 X141 X138))) (= X141 X140))) (forall ((X142 $$unsorted) (X143 $$unsorted) (X144 $$unsorted)) (=> (tptp.next_subocc X142 X143 X144) (and (tptp.arboreal X142) (tptp.arboreal X143)))) (forall ((X145 $$unsorted) (X146 $$unsorted)) (=> (and (tptp.leaf X145 X146) (not (tptp.atomic X146))) (exists ((X147 $$unsorted)) (and (tptp.occurrence_of X147 X146) (tptp.leaf_occ X145 X147))))) (forall ((X148 $$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_8 (tptp.activity tptp.tptp0) _let_7 (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp3) (tptp.atomic tptp.tptp2) _let_5 (not (= tptp.tptp4 tptp.tptp1)) (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) _let_4 (not (= tptp.tptp1 tptp.tptp2)) (not (= tptp.tptp3 tptp.tptp2)) _let_3 (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))) (tptp.root_occ X166 X167))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.91/27.18  )
% 26.91/27.18  % SZS output end Proof for PRO004+3
% 26.91/27.18  % cvc5---1.0.5 exiting
% 26.91/27.18  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------