%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO012+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 13:06:24 EDT 2023

% Result   : Theorem 25.95s 26.14s
% Output   : Proof 25.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PRO012+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 19:19:17 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 25.95/26.14  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.JNw5IoVtjA/cvc5---1.0.5_10731.p...
% 25.95/26.14  ------- get file name : TPTP file name is PRO012+3
% 25.95/26.14  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10731.smt2...
% 25.95/26.14  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.95/26.14  --- Run --no-e-matching --full-saturate-quant at 5...
% 25.95/26.14  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.95/26.14  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.95/26.14  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.95/26.14  % SZS status Theorem for PRO012+3
% 25.95/26.14  % SZS output start Proof for PRO012+3
% 25.95/26.14  (
% 25.95/26.14  (let ((_let_1 (not (forall ((X166 $$unsorted)) (=> (tptp.occurrence_of X166 tptp.tptp0) (exists ((X167 $$unsorted) (X168 $$unsorted)) (and (tptp.occurrence_of X167 tptp.tptp3) (tptp.root_occ X167 X166) (or (tptp.occurrence_of X168 tptp.tptp2) (tptp.occurrence_of X168 tptp.tptp1)) (tptp.min_precedes X167 X168 tptp.tptp0)))))))) (let ((_let_2 (tptp.atomic tptp.tptp1))) (let ((_let_3 (tptp.atomic tptp.tptp2))) (let ((_let_4 (tptp.atomic tptp.tptp0))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X161 $$unsorted)) (=> (tptp.occurrence_of X161 tptp.tptp0) (exists ((X162 $$unsorted) (X163 $$unsorted) (X164 $$unsorted)) (and (tptp.occurrence_of X162 tptp.tptp3) (tptp.root_occ X162 X161) (tptp.occurrence_of X163 tptp.tptp4) (tptp.min_precedes X162 X163 tptp.tptp0) (or (tptp.occurrence_of X164 tptp.tptp2) (tptp.occurrence_of X164 tptp.tptp1)) (tptp.min_precedes X163 X164 tptp.tptp0) (forall ((X165 $$unsorted)) (=> (tptp.min_precedes X162 X165 tptp.tptp0) (or (= X165 X163) (= X165 X164)))))))))) (let ((_let_7 (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_8 (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_9 (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_10 (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_11 (forall ((X76 $$unsorted) (X77 $$unsorted)) (=> (and (tptp.occurrence_of X77 X76) (not (tptp.atomic X76))) (exists ((X78 $$unsorted)) (and (tptp.root X78 X76) (tptp.subactivity_occurrence X78 X77))))))) (let ((_let_12 (forall ((X69 $$unsorted) (X70 $$unsorted) (X71 $$unsorted)) (=> (tptp.min_precedes X70 X71 X69) (exists ((X72 $$unsorted)) (and (tptp.occurrence_of X72 X69) (tptp.subactivity_occurrence X70 X72) (tptp.subactivity_occurrence X71 X72))))))) (let ((_let_13 (forall ((X41 $$unsorted) (X42 $$unsorted)) (=> (tptp.root X41 X42) (tptp.legal X41))))) (let ((_let_14 (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (tptp.min_precedes X35 X36 X37) (not (tptp.root X36 X37)))))) (let ((_let_15 (forall ((X18 $$unsorted)) (=> (tptp.legal X18) (tptp.arboreal X18))))) (let ((_let_16 (forall ((X16 $$unsorted) (X17 $$unsorted)) (=> (tptp.occurrence_of X16 X17) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_17 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp1))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (and _let_20 _let_18))) (let ((_let_22 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp4)))) (let ((_let_27 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.tptp3))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_26 _let_25 _let_21 _let_23 (not (forall ((X165 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X165 tptp.tptp0)) (= X165 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (= X165 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))))) (let ((_let_32 (forall ((X162 $$unsorted) (X163 $$unsorted) (X164 $$unsorted)) (or (not (tptp.occurrence_of X162 tptp.tptp3)) (not (tptp.root_occ X162 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.occurrence_of X163 tptp.tptp4)) (not (tptp.min_precedes X162 X163 tptp.tptp0)) (and (not (tptp.occurrence_of X164 tptp.tptp2)) (not (tptp.occurrence_of X164 tptp.tptp1))) (not (tptp.min_precedes X163 X164 tptp.tptp0)) (not (forall ((X165 $$unsorted)) (or (not (tptp.min_precedes X162 X165 tptp.tptp0)) (= X163 X165) (= X164 X165)))))))) (let ((_let_33 (not _let_31))) (let ((_let_34 (not _let_32))) (let ((_let_35 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34))) (let ((_let_38 (forall ((X161 $$unsorted)) (or (not (tptp.occurrence_of X161 tptp.tptp0)) (not (forall ((X162 $$unsorted) (X163 $$unsorted) (X164 $$unsorted)) (or (not (tptp.occurrence_of X162 tptp.tptp3)) (not (tptp.root_occ X162 X161)) (not (tptp.occurrence_of X163 tptp.tptp4)) (not (tptp.min_precedes X162 X163 tptp.tptp0)) (and (not (tptp.occurrence_of X164 tptp.tptp2)) (not (tptp.occurrence_of X164 tptp.tptp1))) (not (tptp.min_precedes X163 X164 tptp.tptp0)) (not (forall ((X165 $$unsorted)) (or (not (tptp.min_precedes X162 X165 tptp.tptp0)) (= X163 X165) (= X164 X165))))))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (forall ((X167 $$unsorted) (X168 $$unsorted)) (or (not (tptp.occurrence_of X167 tptp.tptp3)) (not (tptp.root_occ X167 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.occurrence_of X168 tptp.tptp2)) (not (tptp.occurrence_of X168 tptp.tptp1))) (not (tptp.min_precedes X167 X168 tptp.tptp0)))))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_36 _let_41))) (let ((_let_43 (forall ((X166 $$unsorted)) (or (not (tptp.occurrence_of X166 tptp.tptp0)) (not (forall ((X167 $$unsorted) (X168 $$unsorted)) (or (not (tptp.occurrence_of X167 tptp.tptp3)) (not (tptp.root_occ X167 X166)) (and (not (tptp.occurrence_of X168 tptp.tptp2)) (not (tptp.occurrence_of X168 tptp.tptp1))) (not (tptp.min_precedes X167 X168 tptp.tptp0))))))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (or))) (let ((_let_47 (not _let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args (_let_47))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_43))) (REFL :args (_let_44)) :args _let_46)) _let_45 :args (_let_44 true _let_43)))) (let ((_let_49 (REFL :args (_let_42)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 0)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_46)) :args ((or _let_35 _let_42))) _let_48 :args (_let_35 true _let_42)))) (let ((_let_51 (_let_34))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51) (REWRITE :args ((=> _let_34 (not (or _let_30 _let_28 _let_26 _let_25 _let_21 _let_23 (not (forall ((X165 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X165 tptp.tptp0)) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X165) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 X165))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_32))) (REFL :args (_let_33)) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_34 (not _let_37)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X161 tptp.tptp0) false))))) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_34 false _let_35 false _let_37)) :args (_let_33 true _let_32)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_31 4)) _let_52 :args ((not _let_21) true _let_31)))) (let ((_let_54 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_55 (= _let_3 _let_54))) (let ((_let_56 (or _let_20 _let_55))) (let ((_let_57 (forall ((X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.occurrence_of X16 X17)) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 ((not (= (tptp.occurrence_of X16 X17) false))))) (let ((_let_61 (not _let_55))) (let ((_let_62 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_63 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0))) (let ((_let_64 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_65 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_68 (not _let_67))) (let ((_let_69 (not _let_54))) (let ((_let_70 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp0))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71 _let_69 _let_68 _let_66 _let_64 _let_63 _let_62))) (let ((_let_75 (forall ((X79 $$unsorted) (X80 $$unsorted) (X81 $$unsorted) (X82 $$unsorted)) (or (not (tptp.occurrence_of X80 X79)) (not (tptp.arboreal X81)) (not (tptp.arboreal X82)) (not (tptp.subactivity_occurrence X81 X80)) (not (tptp.subactivity_occurrence X82 X80)) (tptp.min_precedes X81 X82 X79) (tptp.min_precedes X82 X81 X79) (= X81 X82))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_78 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_79 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_25 _let_73 _let_80 _let_77))) (let ((_let_82 (forall ((X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted) (X86 $$unsorted)) (or (not (tptp.min_precedes X83 X84 X85)) (not (tptp.occurrence_of X86 X85)) (not (tptp.subactivity_occurrence X84 X86)) (tptp.subactivity_occurrence X83 X86))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (or _let_73 _let_80 _let_66))) (let ((_let_85 (forall ((X72 $$unsorted)) (or (not (tptp.occurrence_of X72 tptp.tptp0)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X72)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 X72)))))) (let ((_let_86 (not _let_84))) (let ((_let_87 (not _let_85))) (let ((_let_88 (or _let_23 _let_87))) (let ((_let_89 (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_90 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (REFL :args (_let_31)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 5)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_46)) :args ((or _let_22 _let_31))) _let_52 :args (_let_22 true _let_31)))) (let ((_let_93 (_let_87))) (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_87) _let_85))) (REFL :args (_let_86)) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_23 _let_87 (not _let_88)))) _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X70 X71 X69) false))))) :args (_let_89))) _let_90 :args (_let_88 false _let_89)) :args (_let_87 false _let_22 false _let_88)) :args (_let_86 true _let_85)))) (let ((_let_95 (REFL :args (_let_84)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_84 0)) (CONG _let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_46)) :args ((or _let_72 _let_84))) _let_94 :args (_let_72 true _let_84)))) (let ((_let_97 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0))) (let ((_let_98 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_36 _let_99 _let_28 _let_71 _let_97 _let_78))) (let ((_let_101 (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_102 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0))) (let ((_let_104 (not _let_103))) (let ((_let_105 (not _let_97))) (let ((_let_106 (or _let_105 _let_104))) (let ((_let_107 (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (or (not (tptp.min_precedes X35 X36 X37)) (not (tptp.root X36 X37)))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (_let_107))) (let ((_let_110 (or _let_104 _let_99))) (let ((_let_111 (forall ((X78 $$unsorted)) (or (not (tptp.root X78 tptp.tptp0)) (not (tptp.subactivity_occurrence X78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_112 (not _let_110))) (let ((_let_113 (not _let_111))) (let ((_let_114 (or _let_36 _let_4 _let_113))) (let ((_let_115 (forall ((X76 $$unsorted) (X77 $$unsorted)) (or (not (tptp.occurrence_of X77 X76)) (tptp.atomic X76) (not (forall ((X78 $$unsorted)) (or (not (tptp.root X78 X76)) (not (tptp.subactivity_occurrence X78 X77))))))))) (let 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X4 X6)) (= X5 X6))) (forall ((X7 $$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_16 _let_15 (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_14 (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.min_precedes X38 X39 X40) (tptp.precedes X38 X39))) _let_13 (forall ((X43 $$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)))))) (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))))))) (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 $$unsorted)) (=> (tptp.subactivity_occurrence X67 X68) (and (tptp.activity_occurrence X67) (tptp.activity_occurrence X68)))) _let_12 (forall ((X73 $$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_11 _let_10 _let_9 (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))) (forall ((X109 $$unsorted) (X110 $$unsorted) (X111 $$unsorted) (X112 $$unsorted)) (=> (and (tptp.occurrence_of X111 X112) (not (tptp.atomic X112)) (tptp.leaf_occ X109 X111) (tptp.leaf_occ X110 X111)) (= X109 X110))) (forall ((X113 $$unsorted) (X114 $$unsorted) (X115 $$unsorted)) (=> (and (tptp.occurrence_of X113 X115) (tptp.leaf_occ X114 X113)) (not (exists ((X116 $$unsorted)) (tptp.min_precedes X114 X116 X115))))) _let_8 (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 $$unsorted)) (=> (and (tptp.occurrence_of X130 X133) (tptp.leaf_occ X131 X130) (tptp.root_occ X132 X130) (not (= X131 X132))) (tptp.min_precedes X132 X131 X133))) _let_7 (forall ((X138 $$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_6 (tptp.activity tptp.tptp0) _let_5 (tptp.atomic tptp.tptp4) _let_3 _let_2 (tptp.atomic tptp.tptp3) (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.95/26.15  )
% 25.95/26.15  % SZS output end Proof for PRO012+3
% 25.95/26.15  % cvc5---1.0.5 exiting
% 25.95/26.15  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------