%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO005+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 26.16s 26.34s
% Output   : Proof 26.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem    : PRO005+4 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.16  % Command    : do_cvc5 %s %d
% 0.16/0.37  % Computer : n010.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Aug 28 19:15:04 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.52  %----Proving TF0_NAR, FOF, or CNF
% 26.16/26.34  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vDHNNAD3ji/cvc5---1.0.5_22151.p...
% 26.16/26.34  ------- get file name : TPTP file name is PRO005+4
% 26.16/26.34  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22151.smt2...
% 26.16/26.34  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.16/26.34  --- Run --no-e-matching --full-saturate-quant at 5...
% 26.16/26.34  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.16/26.34  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.16/26.34  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.16/26.34  % SZS status Theorem for PRO005+4
% 26.16/26.34  % SZS output start Proof for PRO005+4
% 26.16/26.34  (
% 26.16/26.34  (let ((_let_1 (not (not (exists ((X109 $$unsorted)) (tptp.occurrence_of X109 tptp.tptp0)))))) (let ((_let_2 (forall ((X106 $$unsorted) (X107 $$unsorted)) (=> (and (tptp.occurrence_of X107 tptp.tptp0) (tptp.subactivity_occurrence X106 X107) (tptp.arboreal X106) (not (tptp.leaf_occ X106 X107))) (exists ((X108 $$unsorted)) (and (tptp.occurrence_of X108 tptp.tptp1) (tptp.next_subocc X106 X108 tptp.tptp0))))))) (let ((_let_3 (forall ((X104 $$unsorted) (X105 $$unsorted)) (=> (and (tptp.occurrence_of X105 tptp.tptp0) (tptp.subactivity_occurrence X104 X105) (tptp.arboreal X104) (not (tptp.leaf_occ X104 X105))) (tptp.root_occ X104 X105))))) (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 ((X101 $$unsorted)) (=> (tptp.occurrence_of X101 tptp.tptp0) (exists ((X102 $$unsorted) (X103 $$unsorted)) (and (tptp.occurrence_of X102 tptp.tptp4) (tptp.root_occ X102 X101) (or (tptp.occurrence_of X103 tptp.tptp3) (tptp.occurrence_of X103 tptp.tptp2)) (tptp.leaf_occ X103 X101) (tptp.next_subocc X102 X103 tptp.tptp0))))))) (let ((_let_10 (forall ((X86 $$unsorted) (X87 $$unsorted) (X88 $$unsorted) (X89 $$unsorted)) (=> (and (tptp.occurrence_of X88 X89) (not (tptp.atomic X89)) (tptp.leaf_occ X86 X88) (tptp.leaf_occ X87 X88)) (= X86 X87))))) (let ((_let_11 (forall ((X78 $$unsorted) (X79 $$unsorted) (X80 $$unsorted)) (= (tptp.next_subocc X78 X79 X80) (and (tptp.min_precedes X78 X79 X80) (not (exists ((X81 $$unsorted)) (and (tptp.min_precedes X78 X81 X80) (tptp.min_precedes X81 X79 X80))))))))) (let ((_let_12 (forall ((X65 $$unsorted) (X66 $$unsorted) (X67 $$unsorted)) (=> (tptp.min_precedes X65 X66 X67) (not (tptp.root X66 X67)))))) (let ((_let_13 (forall ((X55 $$unsorted) (X56 $$unsorted)) (= (tptp.leaf_occ X55 X56) (exists ((X57 $$unsorted)) (and (tptp.occurrence_of X56 X57) (tptp.subactivity_occurrence X55 X56) (tptp.leaf X55 X57))))))) (let ((_let_14 (forall ((X53 $$unsorted) (X54 $$unsorted)) (=> (tptp.root X53 X54) (tptp.legal X53))))) (let ((_let_15 (forall ((X51 $$unsorted) (X52 $$unsorted)) (=> (tptp.occurrence_of X51 X52) (= (tptp.arboreal X51) (tptp.atomic X52)))))) (let ((_let_16 (forall ((X43 $$unsorted)) (=> (tptp.legal X43) (tptp.arboreal X43))))) (let ((_let_17 (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))))))) (let ((_let_18 (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))))))) (let ((_let_19 (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (=> (and (tptp.occurrence_of X28 X29) (tptp.occurrence_of X28 X30)) (= X29 X30))))) (let ((_let_20 (forall ((X21 $$unsorted) (X22 $$unsorted) (X23 $$unsorted)) (=> (tptp.min_precedes X22 X23 X21) (exists ((X24 $$unsorted)) (and (tptp.occurrence_of X24 X21) (tptp.subactivity_occurrence X22 X24) (tptp.subactivity_occurrence X23 X24))))))) (let ((_let_21 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted) (X11 $$unsorted)) (=> (and (tptp.occurrence_of X9 X8) (tptp.subactivity_occurrence X10 X9) (tptp.leaf_occ X11 X9) (tptp.arboreal X10) (not (tptp.min_precedes X10 X11 X8))) (= X11 X10))))) (let ((_let_22 (forall ((X0 $$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))))))) (let ((_let_23 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0))) (let ((_let_24 (= tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_25 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_26 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_27 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_23))) (let ((_let_30 (or _let_29 _let_28))) (let ((_let_31 (forall ((X2 $$unsorted)) (or (not (tptp.root X2 tptp.tptp0)) (not (tptp.subactivity_occurrence X2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (not _let_31))) (let ((_let_34 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_7 _let_33))) (let ((_let_37 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.occurrence_of X1 X0)) (tptp.atomic X0) (not (forall ((X2 $$unsorted)) (or (not (tptp.root X2 X0)) (not (tptp.subactivity_occurrence X2 X1))))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (forall ((X109 $$unsorted)) (not (tptp.occurrence_of X109 tptp.tptp0))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (or))) (let ((_let_42 (not _let_39))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_40) :args (_let_42)) (REWRITE :args ((=> _let_42 (not _let_35)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_39))) (REFL :args (_let_34)) :args _let_41)) _let_40 :args (_let_34 true _let_39)))) (let ((_let_44 (ASSUME :args (_let_8)))) (let ((_let_45 (_let_33))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_45)) :args _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_31))) (REFL :args (_let_32)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_7 _let_35 _let_33 (not _let_36)))) _let_44 _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X1 X0) false))))) :args (_let_37))) _let_38 :args (_let_36 false _let_37)) :args (_let_33 true _let_7 false _let_34 false _let_36)) :args (_let_32 true _let_31)))) (let ((_let_47 (REFL :args (_let_30)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_23))) :args _let_41)) :args ((or _let_23 _let_30))) _let_46 :args (_let_23 true _let_30)))) (let ((_let_49 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_35 _let_50 _let_24))) (let ((_let_52 (forall ((X28 $$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_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 (or _let_50 (not (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_56 (forall ((X57 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X57)) (not (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X57)))))) (let ((_let_57 (not _let_55))) (let ((_let_58 (not _let_56))) (let ((_let_59 (and (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_58))) (let ((_let_60 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_61 (= _let_60 _let_59))) (let ((_let_62 (forall ((X55 $$unsorted) (X56 $$unsorted)) (= (tptp.leaf_occ X55 X56) (and (tptp.subactivity_occurrence X55 X56) (not (forall ((X57 $$unsorted)) (or (not (tptp.occurrence_of X56 X57)) (not (tptp.leaf X55 X57)))))))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_65 (not _let_64))) (let ((_let_66 (not _let_60))) (let ((_let_67 (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_66 _let_65))) (let ((_let_68 (forall ((X102 $$unsorted) (X103 $$unsorted)) (or (not (tptp.occurrence_of X102 tptp.tptp4)) (not (tptp.root_occ X102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.occurrence_of X103 tptp.tptp3)) (not (tptp.occurrence_of X103 tptp.tptp2))) (not (tptp.leaf_occ X103 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.next_subocc X102 X103 tptp.tptp0)))))) (let ((_let_69 (not _let_67))) (let ((_let_70 (not _let_68))) (let ((_let_71 (or _let_35 _let_70))) (let ((_let_72 (forall ((X101 $$unsorted)) (or (not (tptp.occurrence_of X101 tptp.tptp0)) (not (forall ((X102 $$unsorted) (X103 $$unsorted)) (or (not (tptp.occurrence_of X102 tptp.tptp4)) (not (tptp.root_occ X102 X101)) (and (not (tptp.occurrence_of X103 tptp.tptp3)) (not (tptp.occurrence_of X103 tptp.tptp2))) (not (tptp.leaf_occ X103 X101)) (not (tptp.next_subocc X102 X103 tptp.tptp0))))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_72))) (let ((_let_75 ((not (= (tptp.occurrence_of X101 tptp.tptp0) false))))) (let ((_let_76 (_let_70))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_76)) :args _let_76)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_68))) (REFL :args (_let_69)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_35 _let_70 (not _let_71)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_71 false _let_72)) :args (_let_70 false _let_34 false _let_71)) :args (_let_69 true _let_68)))) (let ((_let_78 (REFL :args (_let_67)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_67 3)) (CONG _let_78 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_60))) :args _let_41)) :args ((or _let_60 _let_67))) _let_77 :args (_let_60 true _let_67)))) (let ((_let_80 (_let_58))) (let ((_let_81 (not _let_25))) (let ((_let_82 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81))) (let ((_let_85 (forall ((X65 $$unsorted) (X66 $$unsorted) (X67 $$unsorted)) (or (not (tptp.min_precedes X65 X66 X67)) (not (tptp.root X66 X67)))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (and _let_82 (forall ((X81 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X81 tptp.tptp0)) (not (tptp.min_precedes X81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))))))) (let ((_let_88 (= _let_64 _let_87))) (let ((_let_89 (forall ((X78 $$unsorted) (X79 $$unsorted) (X80 $$unsorted)) (= (tptp.next_subocc X78 X79 X80) (and (tptp.min_precedes X78 X79 X80) (forall ((X81 $$unsorted)) (or (not (tptp.min_precedes X78 X81 X80)) (not (tptp.min_precedes X81 X79 X80))))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_89))) (let ((_let_92 ((tptp.next_subocc X78 X79 X80)))) (let ((_let_93 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_94 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_35 _let_28 _let_66 _let_95 _let_93 _let_26))) (let ((_let_97 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted) (X11 $$unsorted)) (or (not (tptp.occurrence_of X9 X8)) (not (tptp.subactivity_occurrence X10 X9)) (not (tptp.leaf_occ X11 X9)) (not (tptp.arboreal X10)) (tptp.min_precedes X10 X11 X8) (= X10 X11))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (tptp.legal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_94))) (let ((_let_102 (forall ((X43 $$unsorted)) (or (not (tptp.legal X43)) (tptp.arboreal X43))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (or _let_29 _let_99))) (let ((_let_105 (forall ((X53 $$unsorted) (X54 $$unsorted)) (or (not (tptp.root X53 X54)) (tptp.legal X53))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_94 _let_100 (not _let_101)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_29 _let_99 (not _let_104)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.root X53 X54) false))))) :args (_let_105))) _let_106 :args (_let_104 false _let_105)) :args (_let_99 false _let_23 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_102))) _let_103 :args (_let_101 false _let_102)) :args (_let_94 false _let_99 false _let_101)))) (let ((_let_108 (not _let_93))) (let ((_let_109 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_35 _let_110 _let_108))) (let ((_let_112 (forall ((X31 $$unsorted) (X32 $$unsorted) (X33 $$unsorted) (BOUND_VARIABLE_1169 $$unsorted)) (or (not (tptp.occurrence_of X31 X33)) (not (tptp.leaf_occ X32 X31)) (not (tptp.min_precedes X32 BOUND_VARIABLE_1169 X33)))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (forall ((X108 $$unsorted)) (or (not (tptp.occurrence_of X108 tptp.tptp1)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X108 tptp.tptp0)))))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_35 _let_28 _let_95 _let_109 _let_115))) (let ((_let_117 (forall ((X106 $$unsorted) (X107 $$unsorted)) (or (not (tptp.occurrence_of X107 tptp.tptp0)) (not (tptp.subactivity_occurrence X106 X107)) (not (tptp.arboreal X106)) (tptp.leaf_occ X106 X107) 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(_let_123 0)) (CONG _let_167 (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_121))) :args _let_41)) :args ((or _let_121 _let_123))) :args (_let_123 true _let_153 false _let_166 true _let_164 true _let_151 false _let_163 false _let_160 false _let_162 true _let_7 false _let_149 true _let_155 false _let_157 false _let_159 true _let_156 true _let_146 false _let_148 true _let_143 false _let_145 false _let_138 false _let_140 true _let_142 true _let_134 false _let_137 false _let_131 false _let_124 false _let_6 false _let_132 false _let_133 true _let_128 false _let_130 true _let_127 false _let_125 false _let_126 false _let_119 false _let_121)) :args (_let_114 false _let_123)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subactivity_occurrence X106 X107) false))))) :args (_let_117))) _let_118 :args (_let_116 false _let_117)) :args (_let_109 false _let_34 false _let_27 false _let_94 false _let_114 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_112))) _let_113 :args (_let_111 false _let_112)) :args (_let_108 false _let_34 false _let_109 false _let_111)) _let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 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_97))) _let_98 :args (_let_96 false _let_97)) :args (_let_26 false _let_34 false _let_27 false _let_60 true _let_93 false _let_94 false _let_96)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_81 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_87 0)) :args ((or _let_82 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_88)) :args ((or _let_65 _let_87 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_67 4)) (CONG _let_78 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_41)) :args ((or _let_64 _let_67))) _let_77 :args (_let_64 true _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_91)) _let_90 :args (_let_88 false _let_89)) :args (_let_87 false _let_64 false _let_88)) :args (_let_82 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X65 X66 X67) false))))) :args (_let_85))) _let_86 :args (_let_84 false _let_85)) :args (_let_81 false _let_82 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_35 _let_50 _let_24 (not _let_51)))) _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG (REFL :args (_let_55)) (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_41)) :args ((or _let_49 _let_55))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_56))) (REFL :args (_let_57)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_59 1)) :args ((or _let_58 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_61)) :args ((or _let_66 _let_59 (not _let_61)))) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.leaf_occ X55 X56)))) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_59 false _let_60 false _let_61)) :args (_let_58 false _let_59)) :args (_let_57 true _let_56)) :args (_let_49 true _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_PROP)) :args _let_54)) _let_53 :args (_let_51 false _let_52)) :args (_let_24 false _let_34 false _let_49 false _let_51)) _let_48 :args (false false _let_26 true _let_25 false _let_24 false _let_23)) :args (_let_22 (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_21 (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 $$unsorted)) (and (tptp.subactivity X20 X18) (tptp.atocc X19 X20))))) _let_20 (forall ((X25 $$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_19 _let_18 _let_17 (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))))) _let_16 (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 $$unsorted)) (tptp.min_precedes X47 X50 X48)))))) _let_15 _let_14 _let_13 (forall ((X58 $$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))))) (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)))) _let_12 (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_11 (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))) _let_10 (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))) (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_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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.16/26.35  )
% 26.16/26.35  % SZS output end Proof for PRO005+4
% 26.16/26.35  % cvc5---1.0.5 exiting
% 26.16/26.35  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------