%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO005+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 13:06:18 EDT 2023

% Result   : Theorem 26.45s 26.65s
% Output   : Proof 26.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PRO005+2 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.37  % Computer : n020.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Mon Aug 28 19:32:14 EDT 2023
% 0.14/0.37  % CPUTime    : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 26.45/26.65  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mJjUtLC66K/cvc5---1.0.5_20318.p...
% 26.45/26.65  ------- get file name : TPTP file name is PRO005+2
% 26.45/26.65  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20318.smt2...
% 26.45/26.65  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.45/26.65  --- Run --no-e-matching --full-saturate-quant at 5...
% 26.45/26.65  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.45/26.65  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.45/26.65  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.45/26.65  % SZS status Theorem for PRO005+2
% 26.45/26.65  % SZS output start Proof for PRO005+2
% 26.45/26.65  (
% 26.45/26.65  (let ((_let_1 (not (not (exists ((X103 $$unsorted)) (tptp.occurrence_of X103 tptp.tptp0)))))) (let ((_let_2 (forall ((X100 $$unsorted) (X101 $$unsorted)) (=> (and (tptp.occurrence_of X101 tptp.tptp0) (tptp.subactivity_occurrence X100 X101) (tptp.arboreal X100) (not (tptp.leaf_occ X100 X101))) (exists ((X102 $$unsorted)) (and (tptp.occurrence_of X102 tptp.tptp1) (tptp.next_subocc X100 X102 tptp.tptp0))))))) (let ((_let_3 (forall ((X98 $$unsorted) (X99 $$unsorted)) (=> (and (tptp.occurrence_of X99 tptp.tptp0) (tptp.subactivity_occurrence X98 X99) (tptp.arboreal X98) (not (tptp.leaf_occ X98 X99))) (tptp.root_occ X98 X99))))) (let ((_let_4 (not (= tptp.tptp1 tptp.tptp2)))) (let ((_let_5 (not (= tptp.tptp1 tptp.tptp3)))) (let ((_let_6 (tptp.atomic tptp.tptp1))) (let ((_let_7 (tptp.atomic tptp.tptp0))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((X95 $$unsorted)) (=> (tptp.occurrence_of X95 tptp.tptp0) (exists ((X96 $$unsorted) (X97 $$unsorted)) (and (tptp.occurrence_of X96 tptp.tptp4) (tptp.root_occ X96 X95) (or (tptp.occurrence_of X97 tptp.tptp3) (tptp.occurrence_of X97 tptp.tptp2)) (tptp.leaf_occ X97 X95) (tptp.next_subocc X96 X97 tptp.tptp0))))))) (let ((_let_10 (forall ((X91 $$unsorted) (X92 $$unsorted)) (=> (and (tptp.occurrence_of X92 X91) (not (tptp.atomic X91))) (exists ((X93 $$unsorted)) (and (tptp.root X93 X91) (tptp.subactivity_occurrence X93 X92))))))) (let ((_let_11 (forall ((X70 $$unsorted) (X71 $$unsorted) (X72 $$unsorted)) (=> (tptp.min_precedes X71 X72 X70) (exists ((X73 $$unsorted)) (and (tptp.occurrence_of X73 X70) (tptp.subactivity_occurrence X71 X73) (tptp.subactivity_occurrence X72 X73))))))) (let ((_let_12 (forall ((X64 $$unsorted) (X65 $$unsorted) (X66 $$unsorted)) (=> (and (tptp.occurrence_of X64 X65) (tptp.occurrence_of X64 X66)) (= X65 X66))))) (let ((_let_13 (forall ((X56 $$unsorted) (X57 $$unsorted) (X58 $$unsorted)) (=> (and (tptp.occurrence_of X56 X58) (tptp.root_occ X57 X56)) (not (exists ((X59 $$unsorted)) (tptp.min_precedes X59 X57 X58))))))) (let ((_let_14 (forall ((X51 $$unsorted)) (=> (tptp.legal X51) (tptp.arboreal X51))))) (let ((_let_15 (forall ((X40 $$unsorted) (X41 $$unsorted)) (=> (tptp.occurrence_of X40 X41) (= (tptp.arboreal X40) (tptp.atomic X41)))))) (let ((_let_16 (forall ((X38 $$unsorted) (X39 $$unsorted)) (=> (tptp.root X38 X39) (tptp.legal X38))))) (let ((_let_17 (forall ((X25 $$unsorted) (X26 $$unsorted) (X27 $$unsorted)) (=> (tptp.min_precedes X25 X26 X27) (not (tptp.root X26 X27)))))) (let ((_let_18 (forall ((X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (= (tptp.next_subocc X15 X16 X17) (and (tptp.min_precedes X15 X16 X17) (not (exists ((X18 $$unsorted)) (and (tptp.min_precedes X15 X18 X17) (tptp.min_precedes X18 X16 X17))))))))) (let ((_let_19 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted)) (=> (and (tptp.occurrence_of X13 X14) (not (tptp.atomic X14)) (tptp.leaf_occ X11 X13) (tptp.leaf_occ X12 X13)) (= X11 X12))))) (let ((_let_20 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0))) (let ((_let_21 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_23 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (not _let_23))) (let ((_let_25 (not _let_20))) (let ((_let_26 (or _let_25 _let_24))) (let ((_let_27 (forall ((X93 $$unsorted)) (or (not (tptp.root X93 tptp.tptp0)) (not (tptp.subactivity_occurrence X93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (not _let_27))) (let ((_let_30 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_7 _let_29))) (let ((_let_33 (forall ((X91 $$unsorted) (X92 $$unsorted)) (or (not (tptp.occurrence_of X92 X91)) (tptp.atomic X91) (not (forall ((X93 $$unsorted)) (or (not (tptp.root X93 X91)) (not (tptp.subactivity_occurrence X93 X92))))))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (forall ((X103 $$unsorted)) (not (tptp.occurrence_of X103 tptp.tptp0))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (or))) (let ((_let_38 (not _let_35))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_36) :args (_let_38)) (REWRITE :args ((=> _let_38 (not _let_31)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_35))) (REFL :args (_let_30)) :args _let_37)) _let_36 :args (_let_30 true _let_35)))) (let ((_let_40 (ASSUME :args (_let_8)))) (let ((_let_41 (_let_29))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_41)) :args _let_41)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_27))) (REFL :args (_let_28)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_7 _let_31 _let_29 (not _let_32)))) _let_40 _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X92 X91) false))))) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_29 true _let_7 false _let_30 false _let_32)) :args (_let_28 true _let_27)))) (let ((_let_43 (REFL :args (_let_26)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_20))) :args _let_37)) :args ((or _let_20 _let_26))) _let_42 :args (_let_20 true _let_26)))) (let ((_let_45 (not _let_21))) (let ((_let_46 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45))) (let ((_let_49 (forall ((X25 $$unsorted) (X26 $$unsorted) (X27 $$unsorted)) (or (not (tptp.min_precedes X25 X26 X27)) (not (tptp.root X26 X27)))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (and _let_46 (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X18 tptp.tptp0)) (not (tptp.min_precedes X18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))))))) (let ((_let_52 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_53 (= _let_52 _let_51))) (let ((_let_54 (forall ((X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (= (tptp.next_subocc X15 X16 X17) (and (tptp.min_precedes X15 X16 X17) (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes X15 X18 X17)) (not (tptp.min_precedes X18 X16 X17))))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 ((tptp.next_subocc X15 X16 X17)))) (let ((_let_58 (not _let_52))) (let ((_let_59 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.tptp4)) (not (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp2))) _let_60 _let_58))) (let ((_let_62 (forall ((X96 $$unsorted) (X97 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp4)) (not (tptp.root_occ X96 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.occurrence_of X97 tptp.tptp3)) (not (tptp.occurrence_of X97 tptp.tptp2))) (not (tptp.leaf_occ X97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.next_subocc X96 X97 tptp.tptp0)))))) (let ((_let_63 (not _let_61))) (let ((_let_64 (not _let_62))) (let ((_let_65 (or _let_31 _let_64))) (let ((_let_66 (forall ((X95 $$unsorted)) (or (not (tptp.occurrence_of X95 tptp.tptp0)) (not (forall ((X96 $$unsorted) (X97 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp4)) (not (tptp.root_occ X96 X95)) (and (not (tptp.occurrence_of X97 tptp.tptp3)) (not (tptp.occurrence_of X97 tptp.tptp2))) (not (tptp.leaf_occ X97 X95)) (not (tptp.next_subocc X96 X97 tptp.tptp0))))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 ((not (= (tptp.occurrence_of X95 tptp.tptp0) false))))) (let ((_let_70 (_let_64))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_70)) :args _let_70)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_62))) (REFL :args (_let_63)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_31 _let_64 (not _let_65)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_65 false _let_66)) :args (_let_64 false _let_30 false _let_65)) :args (_let_63 true _let_62)))) (let ((_let_72 (REFL :args (_let_61)))) (let ((_let_73 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_31 _let_7 _let_74 _let_60 _let_22))) (let ((_let_76 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted)) (or (not (tptp.occurrence_of X13 X14)) (tptp.atomic X14) (not (tptp.leaf_occ X11 X13)) (not (tptp.leaf_occ X12 X13)) (= X11 X12))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 (forall ((X102 $$unsorted)) (or (not (tptp.occurrence_of X102 tptp.tptp1)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X102 tptp.tptp0)))))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_31 _let_24 _let_82 _let_73 _let_80))) (let ((_let_84 (forall ((X100 $$unsorted) (X101 $$unsorted)) (or (not (tptp.occurrence_of X101 tptp.tptp0)) (not (tptp.subactivity_occurrence X100 X101)) (not (tptp.arboreal X100)) (tptp.leaf_occ X100 X101) (not (forall ((X102 $$unsorted)) (or (not (tptp.occurrence_of X102 tptp.tptp1)) (not (tptp.next_subocc X100 X102 tptp.tptp0))))))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp0))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp1))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87))) (let ((_let_91 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_92 (= _let_6 _let_91))) (let ((_let_93 (or _let_89 _let_92))) (let ((_let_94 (= tptp.tptp2 tptp.tptp1))) (let ((_let_95 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp2))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_89 _let_94))) (let ((_let_98 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp0))) (let ((_let_99 (and _let_98 (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X18 tptp.tptp0)) (not (tptp.min_precedes X18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp0))))))) (let ((_let_100 (= _let_86 _let_99))) (let ((_let_101 (forall ((X73 $$unsorted)) (or (not (tptp.occurrence_of X73 tptp.tptp0)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X73)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 X73)))))) (let ((_let_102 (not _let_101))) (let ((_let_103 (not _let_98))) (let ((_let_104 (or _let_103 _let_102))) (let ((_let_105 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_106 (not _let_105))) (let ((_let_107 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 tptp.tptp0))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43)) _let_106))) (let ((_let_110 (forall ((X96 $$unsorted) (X97 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp4)) (not (tptp.root_occ X96 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43)) (and (not (tptp.occurrence_of X97 tptp.tptp3)) (not (tptp.occurrence_of X97 tptp.tptp2))) (not (tptp.leaf_occ X97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43)) (not (tptp.next_subocc X96 X97 tptp.tptp0)))))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_108 _let_111))) (let ((_let_113 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_108 _let_114 _let_103))) (let ((_let_116 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_117 (not _let_116))) (let ((_let_118 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 tptp.tptp2))) (let ((_let_119 (not _let_118))) (let ((_let_120 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 tptp.tptp3))) (let ((_let_121 (not _let_120))) (let ((_let_122 (and _let_121 _let_119))) (let ((_let_123 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81 tptp.tptp4)) (not (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43)) _let_122 _let_117 (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 tptp.tptp0))))) (let ((_let_124 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_125 (not _let_91))) (let ((_let_126 (or _let_108 _let_106 _let_125 _let_124 _let_113))) (let ((_let_127 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82))) (let ((_let_128 (not _let_124))) (let ((_let_129 (or _let_108 _let_7 _let_128 _let_117 _let_127))) (let ((_let_130 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_82 tptp.tptp1))) (let ((_let_131 (= tptp.tptp3 tptp.tptp1))) (let ((_let_132 (not _let_130))) (let ((_let_133 (or _let_121 _let_132 _let_131))) (let ((_let_134 (REFL :args (_let_90)))) (let ((_let_135 (forall ((X40 $$unsorted) (X41 $$unsorted)) (or (not (tptp.occurrence_of X40 X41)) (= (tptp.arboreal X40) (tptp.atomic X41)))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (forall ((X64 $$unsorted) (X65 $$unsorted) (X66 $$unsorted)) (or (not 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(tptp.legal X29)))) (forall ((X30 $$unsorted) (X31 $$unsorted)) (=> (tptp.earlier X30 X31) (not (tptp.earlier X31 X30)))) (forall ((X32 $$unsorted) (X33 $$unsorted)) (= (tptp.root_occ X32 X33) (exists ((X34 $$unsorted)) (and (tptp.occurrence_of X33 X34) (tptp.subactivity_occurrence X32 X33) (tptp.root X32 X34))))) (forall ((X35 $$unsorted) (X36 $$unsorted)) (= (tptp.leaf_occ X35 X36) (exists ((X37 $$unsorted)) (and (tptp.occurrence_of X36 X37) (tptp.subactivity_occurrence X35 X36) (tptp.leaf X35 X37))))) _let_16 _let_15 (forall ((X42 $$unsorted) (X43 $$unsorted)) (= (tptp.leaf X42 X43) (and (or (tptp.root X42 X43) (exists ((X44 $$unsorted)) (tptp.min_precedes X44 X42 X43))) (not (exists ((X45 $$unsorted)) (tptp.min_precedes X42 X45 X43)))))) (forall ((X46 $$unsorted) (X47 $$unsorted)) (= (tptp.atocc X46 X47) (exists ((X48 $$unsorted)) (and (tptp.subactivity X47 X48) (tptp.atomic X48) (tptp.occurrence_of X46 X48))))) (forall ((X49 $$unsorted) (X50 $$unsorted)) (=> (and (tptp.atocc X49 X50) (tptp.legal X49)) (tptp.root X49 X50))) _let_14 (forall ((X52 $$unsorted)) (=> (tptp.activity_occurrence X52) (exists ((X53 $$unsorted)) (and (tptp.activity X53) (tptp.occurrence_of X52 X53))))) (forall ((X54 $$unsorted) (X55 $$unsorted)) (=> (tptp.subactivity_occurrence X54 X55) (and (tptp.activity_occurrence X54) (tptp.activity_occurrence X55)))) _let_13 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (=> (and (tptp.occurrence_of X60 X62) (tptp.leaf_occ X61 X60)) (not (exists ((X63 $$unsorted)) (tptp.min_precedes X61 X63 X62))))) _let_12 (forall ((X67 $$unsorted) (X68 $$unsorted)) (=> (and (tptp.leaf X67 X68) (not (tptp.atomic X68))) (exists ((X69 $$unsorted)) (and (tptp.occurrence_of X69 X68) (tptp.leaf_occ X67 X69))))) _let_11 (forall ((X74 $$unsorted) (X75 $$unsorted)) (=> (and (tptp.leaf X74 X75) (not (tptp.atomic X75))) (exists ((X76 $$unsorted)) (and (tptp.occurrence_of X76 X75) (tptp.leaf_occ X74 X76))))) (forall ((X77 $$unsorted) (X78 $$unsorted) (X79 $$unsorted)) (=> (tptp.min_precedes X78 X79 X77) (exists ((X80 $$unsorted) (X81 $$unsorted)) (and (tptp.subactivity X80 X77) (tptp.subactivity X81 X77) (tptp.atocc X78 X80) (tptp.atocc X79 X81))))) (forall ((X82 $$unsorted) (X83 $$unsorted)) (=> (tptp.root X83 X82) (exists ((X84 $$unsorted)) (and (tptp.subactivity X84 X82) (tptp.atocc X83 X84))))) (forall ((X85 $$unsorted) (X86 $$unsorted) (X87 $$unsorted) (X88 $$unsorted)) (=> (and (tptp.occurrence_of X86 X85) (tptp.arboreal X87) (tptp.arboreal X88) (tptp.subactivity_occurrence X87 X86) (tptp.subactivity_occurrence X88 X86)) (or (tptp.min_precedes X87 X88 X85) (tptp.min_precedes X88 X87 X85) (= X87 X88)))) (forall ((X89 $$unsorted) (X90 $$unsorted)) (=> (tptp.occurrence_of X90 X89) (and (tptp.activity X89) (tptp.activity_occurrence X90)))) _let_10 (forall ((X94 $$unsorted)) (=> (tptp.activity X94) (tptp.subactivity X94 X94))) _let_9 (tptp.activity tptp.tptp0) _let_8 (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp3) (tptp.atomic tptp.tptp2) _let_6 (not (= tptp.tptp4 tptp.tptp1)) (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) _let_5 _let_4 (not (= tptp.tptp3 tptp.tptp2)) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.45/26.65  )
% 26.45/26.65  % SZS output end Proof for PRO005+2
% 26.45/26.65  % cvc5---1.0.5 exiting
% 26.45/26.66  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------