%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO003+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 13:06:16 EDT 2023

% Result   : Theorem 29.05s 29.25s
% Output   : Proof 29.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : PRO003+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n022.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   : Mon Aug 28 19:12:54 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 29.05/29.25  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.BTSGdIto9z/cvc5---1.0.5_1807.p...
% 29.05/29.25  ------- get file name : TPTP file name is PRO003+4
% 29.05/29.25  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1807.smt2...
% 29.05/29.25  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 29.05/29.25  --- Run --no-e-matching --full-saturate-quant at 5...
% 29.05/29.25  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 29.05/29.25  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 29.05/29.25  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 29.05/29.25  % SZS status Theorem for PRO003+4
% 29.05/29.25  % SZS output start Proof for PRO003+4
% 29.05/29.25  (
% 29.05/29.25  (let ((_let_1 (not (not (exists ((X107 $$unsorted)) (tptp.occurrence_of X107 tptp.tptp0)))))) (let ((_let_2 (forall ((X104 $$unsorted) (X105 $$unsorted)) (=> (and (tptp.occurrence_of X105 tptp.tptp0) (tptp.root_occ X104 X105)) (exists ((X106 $$unsorted)) (and (tptp.occurrence_of X106 tptp.tptp1) (tptp.next_subocc X104 X106 tptp.tptp0))))))) (let ((_let_3 (not (= tptp.tptp1 tptp.tptp3)))) (let ((_let_4 (tptp.atomic tptp.tptp1))) (let ((_let_5 (forall ((X101 $$unsorted)) (=> (tptp.occurrence_of X101 tptp.tptp0) (exists ((X102 $$unsorted) (X103 $$unsorted)) (and (tptp.occurrence_of X102 tptp.tptp4) (tptp.root_occ X102 X101) (tptp.occurrence_of X103 tptp.tptp3) (tptp.leaf_occ X103 X101) (tptp.next_subocc X102 X103 tptp.tptp0))))))) (let ((_let_6 (forall ((X90 $$unsorted) (X91 $$unsorted) (X92 $$unsorted) (X93 $$unsorted)) (=> (and (tptp.occurrence_of X92 X93) (tptp.root_occ X90 X92) (tptp.root_occ X91 X92)) (= X90 X91))))) (let ((_let_7 (forall ((X78 $$unsorted) (X79 $$unsorted) (X80 $$unsorted)) (= (tptp.next_subocc X78 X79 X80) (and (tptp.min_precedes X78 X79 X80) (not (exists ((X81 $$unsorted)) (and (tptp.min_precedes X78 X81 X80) (tptp.min_precedes X81 X79 X80))))))))) (let ((_let_8 (forall ((X58 $$unsorted) (X59 $$unsorted)) (= (tptp.root_occ X58 X59) (exists ((X60 $$unsorted)) (and (tptp.occurrence_of X59 X60) (tptp.subactivity_occurrence X58 X59) (tptp.root X58 X60))))))) (let ((_let_9 (forall ((X51 $$unsorted) (X52 $$unsorted)) (=> (tptp.occurrence_of X51 X52) (= (tptp.arboreal X51) (tptp.atomic X52)))))) (let ((_let_10 (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (=> (and (tptp.occurrence_of X28 X29) (tptp.occurrence_of X28 X30)) (= X29 X30))))) (let ((_let_11 (forall ((X21 $$unsorted) (X22 $$unsorted) (X23 $$unsorted)) (=> (tptp.min_precedes X22 X23 X21) (exists ((X24 $$unsorted)) (and (tptp.occurrence_of X24 X21) (tptp.subactivity_occurrence X22 X24) (tptp.subactivity_occurrence X23 X24))))))) (let ((_let_12 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted) (X11 $$unsorted)) (=> (and (tptp.occurrence_of X9 X8) (tptp.subactivity_occurrence X10 X9) (tptp.leaf_occ X11 X9) (tptp.arboreal X10) (not (tptp.min_precedes X10 X11 X8))) (= X11 X10))))) (let ((_let_13 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_14 (= tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_15 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.tptp0))) (let ((_let_16 (not _let_13))) (let ((_let_17 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16))) (let ((_let_20 (forall ((X60 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X60)) (not (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X60)))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (not _let_20))) (let ((_let_23 (and (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_22))) (let ((_let_24 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (= _let_24 _let_23))) (let ((_let_26 (forall ((X58 $$unsorted) (X59 $$unsorted)) (= (tptp.root_occ X58 X59) (and (tptp.subactivity_occurrence X58 X59) (not (forall ((X60 $$unsorted)) (or (not (tptp.occurrence_of X59 X60)) (not (tptp.root X58 X60)))))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 (not _let_24))) (let ((_let_30 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.tptp4)) _let_29 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3)) (not (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))))) (let ((_let_31 (forall ((X102 $$unsorted) (X103 $$unsorted)) (or (not (tptp.occurrence_of X102 tptp.tptp4)) (not (tptp.root_occ X102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.occurrence_of X103 tptp.tptp3)) (not (tptp.leaf_occ X103 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.next_subocc X102 X103 tptp.tptp0)))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (not _let_31))) (let ((_let_34 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (forall ((X101 $$unsorted)) (or (not (tptp.occurrence_of X101 tptp.tptp0)) (not (forall ((X102 $$unsorted) (X103 $$unsorted)) (or (not (tptp.occurrence_of X102 tptp.tptp4)) (not (tptp.root_occ X102 X101)) (not (tptp.occurrence_of X103 tptp.tptp3)) (not (tptp.leaf_occ X103 X101)) (not (tptp.next_subocc X102 X103 tptp.tptp0))))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 ((not (= (tptp.occurrence_of X101 tptp.tptp0) false))))) (let ((_let_41 (forall ((X107 $$unsorted)) (not (tptp.occurrence_of X107 tptp.tptp0))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (or))) (let ((_let_44 (not _let_41))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_42) :args (_let_44)) (REWRITE :args ((=> _let_44 (not _let_35)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_41))) (REFL :args (_let_34)) :args _let_43)) _let_42 :args (_let_34 true _let_41)))) (let ((_let_46 (_let_33))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 1)) (CONG (REFL :args (_let_30)) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_24))) :args _let_43)) :args ((or _let_24 _let_30))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_31))) (REFL :args (_let_32)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_33 (not _let_36)))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_36 false _let_37)) :args (_let_33 false _let_34 false _let_36)) :args (_let_32 true _let_31)) :args (_let_24 true _let_30)))) (let ((_let_48 (_let_22))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_48)) :args _let_48)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_20))) (REFL :args (_let_21)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 1)) :args ((or _let_22 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_25)) :args ((or _let_29 _let_23 (not _let_25)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.root_occ X58 X59)))) :args _let_28)) _let_27 :args (_let_25 false _let_26)) :args (_let_23 false _let_24 false _let_25)) :args (_let_22 false _let_23)) :args (_let_21 true _let_20)))) (let ((_let_50 (REFL :args (_let_19)))) (let ((_let_51 (or _let_35 _let_18 _let_14))) (let ((_let_52 (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (or (not (tptp.occurrence_of X28 X29)) (not (tptp.occurrence_of X28 X30)) (= X29 X30))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 (not _let_15))) (let ((_let_56 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 tptp.tptp0))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55))) (let ((_let_59 (forall ((X60 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 X60)) (not (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X60)))))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_62 (and _let_61 _let_60))) (let ((_let_63 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_64 (= _let_63 _let_62))) (let ((_let_65 (not _let_62))) (let ((_let_66 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61))) (let ((_let_67 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_68 (not _let_67))) (let ((_let_69 (not _let_63))) (let ((_let_70 (or _let_57 _let_69 _let_68 _let_66))) (let ((_let_71 (forall ((X90 $$unsorted) (X91 $$unsorted) (X92 $$unsorted) (X93 $$unsorted)) (or (not (tptp.occurrence_of X92 X93)) (not (tptp.root_occ X90 X92)) (not (tptp.root_occ X91 X92)) (= X90 X91))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))) (let ((_let_74 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))) (let ((_let_75 (not _let_66))) (let ((_let_76 (and _let_73 (forall ((X81 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X81 tptp.tptp0)) (not (tptp.min_precedes X81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))))))) (let ((_let_77 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))) (let ((_let_78 (= _let_77 _let_76))) (let ((_let_79 (forall ((X78 $$unsorted) (X79 $$unsorted) (X80 $$unsorted)) (= (tptp.next_subocc X78 X79 X80) (and (tptp.min_precedes X78 X79 X80) (forall ((X81 $$unsorted)) (or (not (tptp.min_precedes X78 X81 X80)) (not (tptp.min_precedes X81 X79 X80))))))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (_let_79))) (let ((_let_82 ((tptp.next_subocc X78 X79 X80)))) (let ((_let_83 (not _let_77))) (let ((_let_84 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp1))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_83))) (let ((_let_87 (forall ((X106 $$unsorted)) (or (not (tptp.occurrence_of X106 tptp.tptp1)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X106 tptp.tptp0)))))) (let ((_let_88 (not _let_86))) (let ((_let_89 (not _let_87))) (let ((_let_90 (or _let_35 _let_29 _let_89))) (let ((_let_91 (forall ((X104 $$unsorted) (X105 $$unsorted)) (or (not (tptp.occurrence_of X105 tptp.tptp0)) (not (tptp.root_occ X104 X105)) (not (forall ((X106 $$unsorted)) (or (not (tptp.occurrence_of X106 tptp.tptp1)) (not (tptp.next_subocc X104 X106 tptp.tptp0))))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_89))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_93)) :args _let_93)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_87))) (REFL :args (_let_88)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_35 _let_29 _let_89 (not _let_90)))) _let_45 _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.root_occ X104 X105) false))))) :args (_let_91))) _let_92 :args (_let_90 false _let_91)) :args (_let_89 false _let_34 false _let_24 false _let_90)) :args (_let_88 true _let_87)))) (let ((_let_95 (REFL :args (_let_86)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_76 0)) :args ((or _let_73 (not _let_76)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_78)) :args ((or _let_83 _let_76 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_86 1)) (CONG _let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_77))) :args _let_43)) :args ((or _let_77 _let_86))) _let_94 :args (_let_77 true _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_81)) _let_80 :args (_let_78 false _let_79)) :args (_let_76 false _let_77 false _let_78)) :args (_let_73 false _let_76)))) (let ((_let_97 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp0))) (let ((_let_98 (not _let_97))) (let ((_let_99 (not _let_74))) (let ((_let_100 (or _let_99 _let_98))) (let ((_let_101 (forall ((X81 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 X81 tptp.tptp0)) (not (tptp.min_precedes X81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp0)))))) (let ((_let_102 (and (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp0) _let_101))) (let ((_let_103 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp0))) (let ((_let_104 (= _let_103 _let_102))) (let ((_let_105 (not _let_103))) (let ((_let_106 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_107 (not _let_106))) (let ((_let_108 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp3))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 tptp.tptp4)) _let_68 _let_109 _let_107 _let_105))) (let ((_let_111 (forall ((X102 $$unsorted) (X103 $$unsorted)) (or (not (tptp.occurrence_of X102 tptp.tptp4)) (not (tptp.root_occ X102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)) (not (tptp.occurrence_of X103 tptp.tptp3)) (not (tptp.leaf_occ X103 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)) (not (tptp.next_subocc X102 X103 tptp.tptp0)))))) (let ((_let_112 (not _let_110))) (let ((_let_113 (not _let_111))) (let ((_let_114 (or _let_57 _let_113))) (let ((_let_115 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_116 (not _let_115))) (let ((_let_117 (not _let_61))) (let ((_let_118 (or _let_57 _let_117 _let_116))) (let ((_let_119 (forall ((X24 $$unsorted)) (or (not (tptp.occurrence_of X24 tptp.tptp0)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X24)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 X24)))))) (let ((_let_120 (not _let_118))) (let ((_let_121 (not _let_119))) (let ((_let_122 (not _let_73))) (let ((_let_123 (or _let_122 _let_121))) (let ((_let_124 (forall ((X21 $$unsorted) (X22 $$unsorted) (X23 $$unsorted)) (or (not (tptp.min_precedes X22 X23 X21)) (not (forall ((X24 $$unsorted)) (or (not (tptp.occurrence_of X24 X21)) (not (tptp.subactivity_occurrence X22 X24)) (not (tptp.subactivity_occurrence X23 X24))))))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_121))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_126)) :args _let_126)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_119))) (REFL :args (_let_120)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_122 _let_121 (not _let_123)))) _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X22 X23 X21) false))))) :args (_let_124))) _let_125 :args (_let_123 false _let_124)) :args (_let_121 false _let_73 false _let_123)) :args (_let_120 true _let_119)))) (let ((_let_128 (REFL :args (_let_118)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_118 0)) (CONG _let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_43)) :args ((or _let_56 _let_118))) _let_127 :args (_let_56 true _let_118)))) (let ((_let_130 (_let_113))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_130)) :args _let_130)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_111))) (REFL :args (_let_112)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_57 _let_113 (not _let_114)))) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_114 false _let_37)) :args (_let_113 false _let_56 false _let_114)) :args (_let_112 true _let_111)))) (let ((_let_132 (REFL :args (_let_110)))) (let ((_let_133 (_let_101))) (let ((_let_134 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))) (let ((_let_135 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_57 _let_116 _let_107 _let_136 _let_97 _let_134))) (let ((_let_138 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted) (X11 $$unsorted)) (or (not (tptp.occurrence_of X9 X8)) (not (tptp.subactivity_occurrence X10 X9)) (not (tptp.leaf_occ X11 X9)) (not (tptp.arboreal X10)) (tptp.min_precedes X10 X11 X8) (= X10 X11))))) (let ((_let_139 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp1))) (let ((_let_141 (not _let_134))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_86 0)) (CONG _let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_84))) :args _let_43)) :args ((or _let_84 _let_86))) _let_94 :args (_let_84 true _let_86)))) (let ((_let_143 (= tptp.tptp3 tptp.tptp1))) (let ((_let_144 (not _let_140))) (let ((_let_145 (or _let_109 _let_144 _let_143))) (let ((_let_146 (= _let_4 _let_135))) (let ((_let_147 (or _let_85 _let_146))) (let ((_let_148 (forall ((X51 $$unsorted) (X52 $$unsorted)) (or (not (tptp.occurrence_of X51 X52)) (= (tptp.arboreal X51) (tptp.atomic X52)))))) (let ((_let_149 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_150 (ASSUME :args (_let_73)))) (let ((_let_151 (ASSUME :args (_let_66)))) (let ((_let_152 (ASSUME :args (_let_99)))) (let ((_let_153 (_let_62))) (let ((_let_154 (_let_59))) (let ((_let_155 (ASSUME :args (_let_55)))) (let ((_let_156 (ASSUME :args (_let_14)))) (let ((_let_157 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_155 _let_156 _let_157) :args (_let_13 _let_14 _let_55)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_157)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (SYMM _let_156) :args (APPLY_UF tptp.root)) (FALSE_INTRO _let_155))) :args (_let_55 _let_14 _let_13)) :args ((not (and _let_13 _let_14 _let_55)) SB_LITERAL))) (CONG (REFL :args (_let_16)) (REFL :args ((not _let_14))) (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_15))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_55 (not _let_58)))) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_154) :args (tptp.tptp0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_154)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_153) (CONG (REFL :args _let_153) (REFL :args (_let_117)) (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_43)) :args ((or _let_117 _let_59 _let_62))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_118 1)) (CONG _let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_61))) :args _let_43)) :args ((or _let_61 _let_118))) _let_127 :args (_let_61 true _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_64)) :args ((or _let_63 _let_65 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_57 _let_69 _let_68 _let_66 (not _let_70)))) _let_129 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_110 1)) (CONG _let_132 (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) :args _let_43)) :args ((or _let_67 _let_110))) _let_131 :args (_let_67 true _let_110)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_152 _let_151 _let_150) :args (_let_73 _let_66 _let_99)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_152)) (CONG (SYMM _let_151) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (REFL :args (tptp.tptp0)) :args (APPLY_UF tptp.min_precedes)) (TRUE_INTRO _let_150))) :args (_let_99 _let_66 _let_73)) :args ((not (and _let_73 _let_66 _let_99)) SB_LITERAL))) (CONG (REFL :args (_let_122)) (REFL :args (_let_75)) (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_74))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_99 _let_98 (not _let_100)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_136 _let_57 _let_116 _let_107 _let_134 _let_97 (not _let_137)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_146)) :args ((or (not _let_4) _let_135 (not _let_146)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_85 _let_146 (not _let_147)))) _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_149 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X51 X52) false))))) :args (_let_148)))) _let_149 :args (_let_147 false _let_148)) :args (_let_146 false _let_84 false _let_147)) :args (_let_135 false _let_4 false _let_146)) _let_129 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_118 2)) (CONG _let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_116) _let_115))) :args _let_43)) :args ((or _let_115 _let_118))) _let_127 :args (_let_115 true _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_110 3)) (CONG _let_132 (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_106))) :args _let_43)) :args ((or _let_106 _let_110))) _let_131 :args (_let_106 true _let_110)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_144)))) (CONG (SYMM (ASSUME :args (_let_134))) (REFL :args (tptp.tptp1)) :args (APPLY_UF tptp.occurrence_of)) (TRUE_INTRO (ASSUME :args (_let_84))))) :args (_let_84 _let_134 _let_144))) (CONG (REFL :args (_let_85)) (REFL :args (_let_141)) (MACRO_SR_PRED_INTRO :args ((= (not _let_144) _let_140))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_143 _let_109 _let_144 (not _let_145)))) (SYMM (ASSUME :args (_let_3))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_110 2)) (CONG _let_132 (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_108))) :args _let_43)) :args ((or _let_108 _let_110))) _let_131 :args (_let_108 true _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp3 tptp.tptp1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_54)) _let_53 :args (_let_145 false _let_52)) :args (_let_144 true _let_143 false _let_108 false _let_145)) _let_142 :args (_let_141 true _let_140 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.occurrence_of X9 X8) false)) (not (= (tptp.subactivity_occurrence X10 X9) false)) (not (= (tptp.leaf_occ X11 X9) false))))) :args (_let_138))) _let_139 :args (_let_137 false _let_138)) :args (_let_97 false _let_135 false _let_56 false _let_115 false _let_106 true _let_134 false _let_137)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_133) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 X81 tptp.tptp0) false))))) :args _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 1)) :args ((or _let_101 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_104)) :args ((or _let_105 _let_102 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_110 4)) (CONG _let_132 (MACRO_SR_PRED_INTRO :args ((= (not _let_105) _let_103))) :args _let_43)) :args ((or _let_103 _let_110))) _let_131 :args (_let_103 true _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_81)) _let_80 :args (_let_104 false _let_79)) :args (_let_102 false _let_103 false _let_104)) :args (_let_101 false _let_102)) :args (_let_100 false _let_101)) :args (_let_99 false _let_97 false _let_100)) _let_96 :args (_let_75 true _let_74 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_69 false _let_56 false _let_67 true _let_66 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subactivity_occurrence X58 X59)))) :args _let_28)) _let_27 :args (_let_64 false _let_26)) :args (_let_65 true _let_63 false _let_64)) :args (_let_59 false _let_61 true _let_62)) :args (_let_58 false _let_59)) :args (_let_55 false _let_56 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_35 _let_18 _let_14 (not _let_51)))) _let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_43)) :args ((or _let_17 _let_19))) _let_49 :args (_let_17 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_54)) _let_53 :args (_let_51 false _let_52)) :args (_let_14 false _let_34 false _let_17 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_13))) :args _let_43)) :args ((or _let_13 _let_19))) _let_49 :args (_let_13 true _let_19)) :args (false true _let_15 false _let_14 false _let_13)) :args ((forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.occurrence_of X1 X0) (not (tptp.atomic X0))) (exists ((X2 $$unsorted)) (and (tptp.root X2 X0) (tptp.subactivity_occurrence X2 X1))))) (forall ((X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (=> (and (tptp.occurrence_of X4 X3) (tptp.root_occ X6 X4) (tptp.leaf_occ X7 X4) (tptp.subactivity_occurrence X5 X4) (tptp.min_precedes X6 X5 X3) (not (= X5 X7))) (tptp.min_precedes X5 X7 X3))) _let_12 (forall ((X12 $$unsorted) (X13 $$unsorted)) (=> (tptp.occurrence_of X13 X12) (and (tptp.activity X12) (tptp.activity_occurrence X13)))) (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (=> (and (tptp.occurrence_of X15 X14) (tptp.arboreal X16) (tptp.arboreal X17) (tptp.subactivity_occurrence X16 X15) (tptp.subactivity_occurrence X17 X15)) (or (tptp.min_precedes X16 X17 X14) (tptp.min_precedes X17 X16 X14) (= X16 X17)))) (forall ((X18 $$unsorted) (X19 $$unsorted)) (=> (tptp.root X19 X18) (exists ((X20 $$unsorted)) (and (tptp.subactivity X20 X18) (tptp.atocc X19 X20))))) _let_11 (forall ((X25 $$unsorted) (X26 $$unsorted)) (=> (and (tptp.leaf X25 X26) (not (tptp.atomic X26))) (exists ((X27 $$unsorted)) (and (tptp.occurrence_of X27 X26) (tptp.leaf_occ X25 X27))))) _let_10 (forall ((X31 $$unsorted) (X32 $$unsorted) (X33 $$unsorted)) (=> (and (tptp.occurrence_of X31 X33) (tptp.leaf_occ X32 X31)) (not (exists ((X34 $$unsorted)) (tptp.min_precedes X32 X34 X33))))) (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (and (tptp.occurrence_of X35 X37) (tptp.root_occ X36 X35)) (not (exists ((X38 $$unsorted)) (tptp.min_precedes X38 X36 X37))))) (forall ((X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.subactivity_occurrence X39 X40) (and (tptp.activity_occurrence X39) (tptp.activity_occurrence X40)))) (forall ((X41 $$unsorted)) (=> (tptp.activity_occurrence X41) (exists ((X42 $$unsorted)) (and (tptp.activity X42) (tptp.occurrence_of X41 X42))))) (forall ((X43 $$unsorted)) (=> (tptp.legal X43) (tptp.arboreal X43))) (forall ((X44 $$unsorted) (X45 $$unsorted)) (= (tptp.atocc X44 X45) (exists ((X46 $$unsorted)) (and (tptp.subactivity X45 X46) (tptp.atomic X46) (tptp.occurrence_of X44 X46))))) (forall ((X47 $$unsorted) (X48 $$unsorted)) (= (tptp.leaf X47 X48) (and (or (tptp.root X47 X48) (exists ((X49 $$unsorted)) (tptp.min_precedes X49 X47 X48))) (not (exists ((X50 $$unsorted)) (tptp.min_precedes X47 X50 X48)))))) _let_9 (forall ((X53 $$unsorted) (X54 $$unsorted)) (=> (tptp.root X53 X54) (tptp.legal X53))) (forall ((X55 $$unsorted) (X56 $$unsorted)) (= (tptp.leaf_occ X55 X56) (exists ((X57 $$unsorted)) (and (tptp.occurrence_of X56 X57) (tptp.subactivity_occurrence X55 X56) (tptp.leaf X55 X57))))) _let_8 (forall ((X61 $$unsorted) (X62 $$unsorted)) (=> (tptp.earlier X61 X62) (not (tptp.earlier X62 X61)))) (forall ((X63 $$unsorted) (X64 $$unsorted)) (= (tptp.precedes X63 X64) (and (tptp.earlier X63 X64) (tptp.legal X64)))) (forall ((X65 $$unsorted) (X66 $$unsorted) (X67 $$unsorted)) (=> (tptp.min_precedes X65 X66 X67) (not (tptp.root X66 X67)))) (forall ((X68 $$unsorted) (X69 $$unsorted) (X70 $$unsorted)) (=> (tptp.min_precedes X68 X69 X70) (exists ((X71 $$unsorted)) (and (tptp.root X71 X70) (tptp.min_precedes X71 X69 X70))))) (forall ((X72 $$unsorted) (X73 $$unsorted) (X74 $$unsorted)) (=> (tptp.min_precedes X72 X73 X74) (tptp.precedes X72 X73))) (forall ((X75 $$unsorted) (X76 $$unsorted) (X77 $$unsorted)) (=> (tptp.next_subocc X75 X76 X77) (and (tptp.arboreal X75) (tptp.arboreal X76)))) _let_7 (forall ((X82 $$unsorted) (X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted)) (=> (and (tptp.min_precedes X82 X83 X84) (tptp.occurrence_of X85 X84) (tptp.subactivity_occurrence X83 X85)) (tptp.subactivity_occurrence X82 X85))) (forall ((X86 $$unsorted) (X87 $$unsorted) (X88 $$unsorted) (X89 $$unsorted)) (=> (and (tptp.occurrence_of X88 X89) (not (tptp.atomic X89)) (tptp.leaf_occ X86 X88) (tptp.leaf_occ X87 X88)) (= X86 X87))) _let_6 (forall ((X94 $$unsorted) (X95 $$unsorted) (X96 $$unsorted)) (=> (and (tptp.earlier X94 X95) (tptp.earlier X95 X96)) (tptp.earlier X94 X96))) (forall ((X97 $$unsorted) (X98 $$unsorted) (X99 $$unsorted) (X100 $$unsorted)) (=> (and (tptp.min_precedes X97 X98 X100) (tptp.min_precedes X97 X99 X100) (tptp.precedes X98 X99)) (tptp.min_precedes X98 X99 X100))) _let_5 (tptp.activity tptp.tptp0) (not (tptp.atomic tptp.tptp0)) (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp3) (tptp.atomic tptp.tptp2) _let_4 (not (= tptp.tptp4 tptp.tptp1)) (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) _let_3 (not (= tptp.tptp1 tptp.tptp2)) (not (= tptp.tptp3 tptp.tptp2)) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 29.05/29.26  )
% 29.05/29.26  % SZS output end Proof for PRO003+4
% 29.10/29.26  % cvc5---1.0.5 exiting
% 29.10/29.27  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------