%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO014+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 13:06:25 EDT 2023

% Result   : Theorem 29.01s 29.20s
% Output   : Proof 29.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PRO014+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 28 19:52:45 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 29.01/29.20  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Y2BHXHDGxU/cvc5---1.0.5_14097.p...
% 29.01/29.20  ------- get file name : TPTP file name is PRO014+1
% 29.01/29.20  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14097.smt2...
% 29.01/29.20  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 29.01/29.20  --- Run --no-e-matching --full-saturate-quant at 5...
% 29.01/29.20  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 29.01/29.20  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 29.01/29.20  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 29.01/29.20  % SZS status Theorem for PRO014+1
% 29.01/29.20  % SZS output start Proof for PRO014+1
% 29.01/29.20  (
% 29.01/29.20  (let ((_let_1 (not (forall ((X110 $$unsorted) (X111 $$unsorted)) (=> (and (tptp.occurrence_of X111 tptp.tptp0) (tptp.subactivity_occurrence X110 X111) (tptp.arboreal X110) (not (tptp.leaf_occ X110 X111))) (exists ((X112 $$unsorted) (X113 $$unsorted)) (and (tptp.occurrence_of X112 tptp.tptp3) (tptp.next_subocc X110 X112 tptp.tptp0) (or (tptp.occurrence_of X113 tptp.tptp2) (tptp.occurrence_of X113 tptp.tptp1)) (tptp.min_precedes X112 X113 tptp.tptp0) (tptp.leaf X113 tptp.tptp0)))))))) (let ((_let_2 (tptp.atomic tptp.tptp3))) (let ((_let_3 (tptp.atomic tptp.tptp1))) (let ((_let_4 (tptp.atomic tptp.tptp2))) (let ((_let_5 (forall ((X105 $$unsorted) (X106 $$unsorted)) (=> (and (tptp.occurrence_of X106 tptp.tptp0) (tptp.subactivity_occurrence X105 X106) (tptp.arboreal X105) (not (tptp.leaf_occ X105 X106))) (exists ((X107 $$unsorted) (X108 $$unsorted) (X109 $$unsorted)) (and (tptp.occurrence_of X107 tptp.tptp3) (tptp.next_subocc X105 X107 tptp.tptp0) (tptp.occurrence_of X108 tptp.tptp4) (tptp.next_subocc X107 X108 tptp.tptp0) (or (tptp.occurrence_of X109 tptp.tptp2) (tptp.occurrence_of X109 tptp.tptp1)) (tptp.next_subocc X108 X109 tptp.tptp0) (tptp.leaf X109 tptp.tptp0))))))) (let ((_let_6 (forall ((X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted) (X86 $$unsorted)) (=> (and (tptp.min_precedes X83 X84 X85) (tptp.occurrence_of X86 X85) (tptp.subactivity_occurrence X84 X86)) (tptp.subactivity_occurrence X83 X86))))) (let ((_let_7 (forall ((X79 $$unsorted) (X80 $$unsorted) (X81 $$unsorted) (X82 $$unsorted)) (=> (and (tptp.occurrence_of X80 X79) (tptp.arboreal X81) (tptp.arboreal X82) (tptp.subactivity_occurrence X81 X80) (tptp.subactivity_occurrence X82 X80)) (or (tptp.min_precedes X81 X82 X79) (tptp.min_precedes X82 X81 X79) (= X81 X82)))))) (let ((_let_8 (forall ((X69 $$unsorted) (X70 $$unsorted) (X71 $$unsorted)) (=> (tptp.min_precedes X70 X71 X69) (exists ((X72 $$unsorted)) (and (tptp.occurrence_of X72 X69) (tptp.subactivity_occurrence X70 X72) (tptp.subactivity_occurrence X71 X72))))))) (let ((_let_9 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (not (exists ((X63 $$unsorted)) (and (tptp.min_precedes X60 X63 X62) (tptp.min_precedes X63 X61 X62))))))))) (let ((_let_10 (forall ((X56 $$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 $$unsorted)) (tptp.min_precedes X56 X59 X57)))))))) (let ((_let_11 (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.min_precedes X38 X39 X40) (tptp.precedes X38 X39))))) (let ((_let_12 (forall ((X21 $$unsorted) (X22 $$unsorted)) (= (tptp.precedes X21 X22) (and (tptp.earlier X21 X22) (tptp.legal X22)))))) (let ((_let_13 (forall ((X16 $$unsorted) (X17 $$unsorted)) (=> (tptp.occurrence_of X16 X17) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_14 (forall ((X8 $$unsorted) (X9 $$unsorted)) (=> (tptp.earlier X8 X9) (not (tptp.earlier X9 X8)))))) (let ((_let_15 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp1))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp2))) (let ((_let_18 (not _let_17))) (let ((_let_19 (and _let_18 _let_16))) (let ((_let_20 (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp4)) _let_25 _let_19 _let_23 _let_21))) (let ((_let_31 (forall ((X107 $$unsorted) (X108 $$unsorted) (X109 $$unsorted)) (or (not (tptp.occurrence_of X107 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X107 tptp.tptp0)) (not (tptp.occurrence_of X108 tptp.tptp4)) (not (tptp.next_subocc X107 X108 tptp.tptp0)) (and (not (tptp.occurrence_of X109 tptp.tptp2)) (not (tptp.occurrence_of X109 tptp.tptp1))) (not (tptp.next_subocc X108 X109 tptp.tptp0)) (not (tptp.leaf X109 tptp.tptp0)))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (not _let_31))) (let ((_let_34 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_35 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38 _let_36 _let_34 _let_33))) (let ((_let_42 (forall ((X105 $$unsorted) (X106 $$unsorted)) (or (not (tptp.occurrence_of X106 tptp.tptp0)) (not (tptp.subactivity_occurrence X105 X106)) (not (tptp.arboreal X105)) (tptp.leaf_occ X105 X106) (not (forall ((X107 $$unsorted) (X108 $$unsorted) (X109 $$unsorted)) (or (not (tptp.occurrence_of X107 tptp.tptp3)) (not (tptp.next_subocc X105 X107 tptp.tptp0)) (not (tptp.occurrence_of X108 tptp.tptp4)) (not (tptp.next_subocc X107 X108 tptp.tptp0)) (and (not (tptp.occurrence_of X109 tptp.tptp2)) (not (tptp.occurrence_of X109 tptp.tptp1))) (not (tptp.next_subocc X108 X109 tptp.tptp0)) (not (tptp.leaf X109 tptp.tptp0))))))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (forall ((X112 $$unsorted) (X113 $$unsorted)) (or (not (tptp.occurrence_of X112 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X112 tptp.tptp0)) (and (not (tptp.occurrence_of X113 tptp.tptp2)) (not (tptp.occurrence_of X113 tptp.tptp1))) (not (tptp.min_precedes X112 X113 tptp.tptp0)) (not (tptp.leaf X113 tptp.tptp0)))))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_40 _let_38 _let_36 _let_34 _let_45))) (let ((_let_47 (forall ((X110 $$unsorted) (X111 $$unsorted)) (or (not (tptp.occurrence_of X111 tptp.tptp0)) (not (tptp.subactivity_occurrence X110 X111)) (not (tptp.arboreal X110)) (tptp.leaf_occ X110 X111) (not (forall ((X112 $$unsorted) (X113 $$unsorted)) (or (not (tptp.occurrence_of X112 tptp.tptp3)) (not (tptp.next_subocc X110 X112 tptp.tptp0)) (and (not (tptp.occurrence_of X113 tptp.tptp2)) (not (tptp.occurrence_of X113 tptp.tptp1))) (not (tptp.min_precedes X112 X113 tptp.tptp0)) (not (tptp.leaf X113 tptp.tptp0))))))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (or))) (let ((_let_51 (not _let_47))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_49) :args (_let_51))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_47))) (REFL :args (_let_48)) :args _let_50)) _let_49 :args (_let_48 true _let_47)))) (let ((_let_53 (REFL :args (_let_46)))) (let ((_let_54 (_let_33))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_31))) (REFL :args (_let_32)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_38 _let_36 _let_34 _let_33 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_50)) :args ((or _let_39 _let_46))) _let_52 :args (_let_39 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 1)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_50)) :args ((or _let_37 _let_46))) _let_52 :args (_let_37 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 2)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_50)) :args ((or _let_35 _let_46))) _let_52 :args (_let_35 true _let_46)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_46 3)) _let_52 :args ((not _let_34) true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subactivity_occurrence X105 X106) false))))) :args (_let_42))) _let_43 :args (_let_41 false _let_42)) :args (_let_33 false _let_39 false _let_37 false _let_35 true _let_34 false _let_41)) :args (_let_32 true _let_31)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 4)) _let_55 :args ((not _let_19) true _let_30)))) (let ((_let_57 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_58 (= _let_4 _let_57))) (let ((_let_59 (or _let_18 _let_58))) (let ((_let_60 (forall ((X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.occurrence_of X16 X17)) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 ((not (= (tptp.occurrence_of X16 X17) false))))) (let ((_let_64 (not _let_58))) (let ((_let_65 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_66 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_67 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_68 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_73 (not _let_72))) (let ((_let_74 (not _let_57))) (let ((_let_75 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 tptp.tptp0))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_74 _let_73 _let_71 _let_69 _let_67 _let_66 _let_65))) (let ((_let_78 (forall ((X79 $$unsorted) (X80 $$unsorted) (X81 $$unsorted) (X82 $$unsorted)) (or (not (tptp.occurrence_of X80 X79)) (not (tptp.arboreal X81)) (not (tptp.arboreal X82)) (not (tptp.subactivity_occurrence X81 X80)) (not (tptp.subactivity_occurrence X82 X80)) (tptp.min_precedes X81 X82 X79) (tptp.min_precedes X82 X81 X79) (= X81 X82))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_76 _let_81 _let_68))) (let ((_let_85 (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_86 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (or _let_76 _let_81 _let_71))) (let ((_let_88 (forall ((X72 $$unsorted)) (or (not (tptp.occurrence_of X72 tptp.tptp0)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 X72)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X72)))))) (let ((_let_89 (not _let_87))) (let ((_let_90 (not _let_88))) (let ((_let_91 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_90))) (let ((_let_94 (forall ((X69 $$unsorted) (X70 $$unsorted) (X71 $$unsorted)) (or (not (tptp.min_precedes X70 X71 X69)) (not (forall ((X72 $$unsorted)) (or (not (tptp.occurrence_of X72 X69)) (not (tptp.subactivity_occurrence X70 X72)) (not (tptp.subactivity_occurrence X71 X72))))))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (and _let_91 (forall ((X63 $$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_97 (= _let_22 _let_96))) (let ((_let_98 (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_99 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (_let_98))) (let ((_let_101 ((tptp.next_subocc X60 X61 X62)))) (let ((_let_102 (REFL :args (_let_30)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 0)) :args ((or _let_91 (not _let_96)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_97)) :args ((or _let_23 _let_96 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 5)) (CONG _let_102 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_50)) :args ((or _let_22 _let_30))) _let_55 :args (_let_22 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_97 false _let_98)) :args (_let_96 false _let_22 false _let_97)) :args (_let_91 false _let_96)))) (let ((_let_104 (_let_90))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_104)) :args _let_104)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_88))) (REFL :args (_let_89)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_92 _let_90 (not _let_93)))) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X70 X71 X69) 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X3))))) (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (=> (and (tptp.occurrence_of X4 X5) (tptp.occurrence_of X4 X6)) (= X5 X6))) (forall ((X7 $$unsorted)) (=> (tptp.activity X7) (tptp.subactivity X7 X7))) _let_14 (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_13 (forall ((X18 $$unsorted)) (=> (tptp.legal X18) (tptp.arboreal X18))) (forall ((X19 $$unsorted) (X20 $$unsorted)) (=> (and (tptp.legal X19) (tptp.earlier X20 X19)) (tptp.legal X20))) _let_12 (forall ((X23 $$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)))) _let_11 (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 $$unsorted)) (=> (and (tptp.min_precedes X53 X52 X55) (tptp.min_precedes X54 X52 X55) (tptp.precedes X53 X54)) (tptp.min_precedes X53 X54 X55))) _let_10 _let_9 (forall ((X64 $$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_8 (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))))) _let_7 _let_6 (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))))) _let_5 (tptp.activity tptp.tptp0) (not (tptp.atomic tptp.tptp0)) (tptp.atomic tptp.tptp4) _let_4 _let_3 _let_2 (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) (not (= tptp.tptp4 tptp.tptp1)) (not (= tptp.tptp3 tptp.tptp2)) (not (= tptp.tptp3 tptp.tptp1)) (not (= tptp.tptp2 tptp.tptp1)) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 29.01/29.21  )
% 29.01/29.21  % SZS output end Proof for PRO014+1
% 29.01/29.21  % cvc5---1.0.5 exiting
% 29.01/29.22  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------