%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO018+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 13:06:28 EDT 2023

% Result   : Theorem 26.76s 26.98s
% Output   : Proof 26.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PRO018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.34  % Computer : n004.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 28 19:12:22 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 26.76/26.98  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Wbyg00WmJ6/cvc5---1.0.5_19982.p...
% 26.76/26.98  ------- get file name : TPTP file name is PRO018+1
% 26.76/26.98  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19982.smt2...
% 26.76/26.98  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.76/26.98  --- Run --no-e-matching --full-saturate-quant at 5...
% 26.76/26.98  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.76/26.98  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.76/26.98  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.76/26.98  % SZS status Theorem for PRO018+1
% 26.76/26.98  % SZS output start Proof for PRO018+1
% 26.76/26.98  (
% 26.76/26.98  (let ((_let_1 (not (forall ((X111 $$unsorted) (X112 $$unsorted)) (=> (and (tptp.occurrence_of X112 tptp.tptp0) (tptp.subactivity_occurrence X111 X112) (tptp.arboreal X111) (not (tptp.leaf_occ X111 X112))) (exists ((X113 $$unsorted) (X114 $$unsorted)) (let ((_let_1 (tptp.occurrence_of X114 tptp.tptp2))) (let ((_let_2 (tptp.occurrence_of X114 tptp.tptp1))) (and (tptp.occurrence_of X113 tptp.tptp3) (tptp.next_subocc X111 X113 tptp.tptp0) (or _let_2 _let_1) (tptp.min_precedes X113 X114 tptp.tptp0) (tptp.leaf_occ X114 X112) (=> _let_2 (not (exists ((X115 $$unsorted)) (and (tptp.occurrence_of X115 tptp.tptp2) (tptp.min_precedes X113 X115 tptp.tptp0))))) (=> _let_1 (not (exists ((X116 $$unsorted)) (and (tptp.occurrence_of X116 tptp.tptp1) (tptp.min_precedes X113 X116 tptp.tptp0)))))))))))))) (let ((_let_2 (not (= tptp.tptp4 tptp.tptp3)))) (let ((_let_3 (tptp.atomic tptp.tptp3))) (let ((_let_4 (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 $$unsorted)) (and (tptp.occurrence_of X107 tptp.tptp3) (tptp.next_subocc X105 X107 tptp.tptp0) (tptp.occurrence_of X108 tptp.tptp4) (tptp.min_precedes X107 X108 tptp.tptp0) (or (tptp.occurrence_of X109 tptp.tptp1) (tptp.occurrence_of X109 tptp.tptp2)) (tptp.min_precedes X108 X109 tptp.tptp0) (forall ((X110 $$unsorted)) (=> (tptp.min_precedes X107 X110 tptp.tptp0) (or (= X110 X108) (= X110 X109)))))))))) (let ((_let_5 (forall ((X102 $$unsorted) (X103 $$unsorted)) (= (tptp.leaf_occ X102 X103) (exists ((X104 $$unsorted)) (and (tptp.occurrence_of X103 X104) (tptp.subactivity_occurrence X102 X103) (tptp.leaf X102 X104))))))) (let ((_let_6 (forall ((X69 $$unsorted) (X70 $$unsorted) (X71 $$unsorted)) (=> (tptp.min_precedes X70 X71 X69) (exists ((X72 $$unsorted)) (and (tptp.occurrence_of X72 X69) (tptp.subactivity_occurrence X70 X72) (tptp.subactivity_occurrence X71 X72))))))) (let ((_let_7 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (not (exists ((X63 $$unsorted)) (and (tptp.min_precedes X60 X63 X62) (tptp.min_precedes X63 X61 X62))))))))) (let ((_let_8 (forall ((X56 $$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 $$unsorted)) (tptp.min_precedes X56 X59 X57)))))))) (let ((_let_9 (forall ((X16 $$unsorted) (X17 $$unsorted)) (=> (tptp.occurrence_of X16 X17) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_10 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (=> (and (tptp.occurrence_of X4 X5) (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_11 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_12 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 tptp.tptp0))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93))) (let ((_let_14 (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X63 tptp.tptp0)) (not (tptp.min_precedes X63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0)))))) (let ((_let_15 (and (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0) _let_14))) (let ((_let_16 (= _let_11 _let_15))) (let ((_let_17 (not _let_11))) (let ((_let_18 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes X60 X63 X62)) (not (tptp.min_precedes X63 X61 X62))))))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (_let_18))) (let ((_let_21 (not _let_15))) (let ((_let_22 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23))) (let ((_let_27 (not _let_26))) (let ((_let_28 (forall ((X110 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X110 tptp.tptp0)) (= X110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (= X110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_29 (not _let_28))) (let ((_let_30 (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp1)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp2))))) (let ((_let_31 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp4))) (let ((_let_32 (not _let_31))) (let ((_let_33 (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0)))) (let ((_let_34 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_32 _let_25 _let_30 _let_23 _let_29))) (let ((_let_37 (forall ((X107 $$unsorted) (X108 $$unsorted) (X109 $$unsorted)) (or (not (tptp.occurrence_of X107 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X107 tptp.tptp0)) (not (tptp.occurrence_of X108 tptp.tptp4)) (not (tptp.min_precedes X107 X108 tptp.tptp0)) (and (not (tptp.occurrence_of X109 tptp.tptp1)) (not (tptp.occurrence_of X109 tptp.tptp2))) (not (tptp.min_precedes X108 X109 tptp.tptp0)) (not (forall ((X110 $$unsorted)) (or (not (tptp.min_precedes X107 X110 tptp.tptp0)) (= X108 X110) (= X109 X110)))))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (not _let_37))) (let ((_let_40 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_41 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 _let_42 _let_40 _let_39))) (let ((_let_48 (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 $$unsorted)) (or (not (tptp.occurrence_of X107 tptp.tptp3)) (not (tptp.next_subocc X105 X107 tptp.tptp0)) (not (tptp.occurrence_of X108 tptp.tptp4)) (not (tptp.min_precedes X107 X108 tptp.tptp0)) (and (not (tptp.occurrence_of X109 tptp.tptp1)) (not (tptp.occurrence_of X109 tptp.tptp2))) (not (tptp.min_precedes X108 X109 tptp.tptp0)) (not (forall ((X110 $$unsorted)) (or (not (tptp.min_precedes X107 X110 tptp.tptp0)) (= X108 X110) (= X109 X110))))))))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_48))) (let ((_let_51 ((not (= (tptp.subactivity_occurrence X105 X106) false))))) (let ((_let_52 (or _let_46 _let_44 _let_42 _let_40 (not (forall ((X113 $$unsorted) (X114 $$unsorted)) (let ((_let_1 (tptp.occurrence_of X114 tptp.tptp2))) (let ((_let_2 (tptp.occurrence_of X114 tptp.tptp1))) (or (not (tptp.occurrence_of X113 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X113 tptp.tptp0)) (and (not _let_2) (not _let_1)) (not (tptp.min_precedes X113 X114 tptp.tptp0)) (not (tptp.leaf_occ X114 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (and _let_2 (not (forall ((X115 $$unsorted)) (or (not (tptp.occurrence_of X115 tptp.tptp2)) (not (tptp.min_precedes X113 X115 tptp.tptp0)))))) (and _let_1 (not (forall ((X116 $$unsorted)) (or (not (tptp.occurrence_of X116 tptp.tptp1)) (not (tptp.min_precedes X113 X116 tptp.tptp0)))))))))))))) (let ((_let_53 (forall ((X111 $$unsorted) (X112 $$unsorted)) (or (not (tptp.occurrence_of X112 tptp.tptp0)) (not (tptp.subactivity_occurrence X111 X112)) (not (tptp.arboreal X111)) (tptp.leaf_occ X111 X112) (not (forall ((X113 $$unsorted) (X114 $$unsorted)) (let ((_let_1 (tptp.occurrence_of X114 tptp.tptp2))) (let ((_let_2 (tptp.occurrence_of X114 tptp.tptp1))) (or (not (tptp.occurrence_of X113 tptp.tptp3)) (not (tptp.next_subocc X111 X113 tptp.tptp0)) (and (not _let_2) (not _let_1)) (not (tptp.min_precedes X113 X114 tptp.tptp0)) (not (tptp.leaf_occ X114 X112)) (and _let_2 (not (forall ((X115 $$unsorted)) (or (not (tptp.occurrence_of X115 tptp.tptp2)) (not (tptp.min_precedes X113 X115 tptp.tptp0)))))) (and _let_1 (not (forall ((X116 $$unsorted)) (or (not (tptp.occurrence_of X116 tptp.tptp1)) (not (tptp.min_precedes X113 X116 tptp.tptp0))))))))))))))) (let ((_let_54 (not _let_52))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (or))) (let ((_let_57 (not _let_53))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_55) :args (_let_57))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_53))) (REFL :args (_let_54)) :args _let_56)) _let_55 :args (_let_54 true _let_53)))) (let ((_let_59 (REFL :args (_let_52)))) (let ((_let_60 (_let_39))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_60)) :args _let_60) (REWRITE :args ((=> _let_39 (not (or _let_35 _let_33 _let_32 _let_25 _let_30 _let_23 (not (forall ((X110 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X110 tptp.tptp0)) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 X110) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X110))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_37))) (REFL :args (_let_38)) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_44 _let_42 _let_40 _let_39 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_56)) :args ((or _let_45 _let_52))) _let_58 :args (_let_45 true _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 1)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_56)) :args ((or _let_43 _let_52))) _let_58 :args (_let_43 true _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 2)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_56)) :args ((or _let_41 _let_52))) _let_58 :args (_let_41 true _let_52)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_52 3)) _let_58 :args ((not _let_40) true _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_47 false _let_48)) :args (_let_39 false _let_45 false _let_43 false _let_41 true _let_40 false _let_47)) :args (_let_38 true _let_37)))) (let ((_let_62 (REFL :args (_let_36)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 3)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_56)) :args ((or _let_24 _let_36))) _let_61 :args (_let_24 true _let_36)))) (let ((_let_64 (_let_14))) (let ((_let_65 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_66 (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 tptp.tptp0)))) (let ((_let_67 (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 tptp.tptp1)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 tptp.tptp2))))) (let ((_let_68 (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 tptp.tptp0)))) (let ((_let_69 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 tptp.tptp4)))) (let ((_let_70 (not _let_12))) (let ((_let_71 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 tptp.tptp3))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70 _let_69 _let_68 _let_67 _let_66 (not (forall ((X110 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 X110 tptp.tptp0)) (= X110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94) (= X110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95))))))) (let ((_let_74 (forall ((X107 $$unsorted) (X108 $$unsorted) (X109 $$unsorted)) (or (not (tptp.occurrence_of X107 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X107 tptp.tptp0)) (not (tptp.occurrence_of X108 tptp.tptp4)) (not (tptp.min_precedes X107 X108 tptp.tptp0)) (and (not (tptp.occurrence_of X109 tptp.tptp1)) (not (tptp.occurrence_of X109 tptp.tptp2))) (not (tptp.min_precedes X108 X109 tptp.tptp0)) (not (forall ((X110 $$unsorted)) (or (not (tptp.min_precedes X107 X110 tptp.tptp0)) (= X108 X110) (= X109 X110)))))))) (let ((_let_75 (not _let_73))) (let ((_let_76 (not _let_74))) (let ((_let_77 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_78 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 tptp.tptp0))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81 _let_79 _let_77 _let_76))) (let ((_let_85 (forall ((X104 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 X104)) (not (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X104)))))) (let ((_let_86 (not _let_85))) (let ((_let_87 (and _let_80 _let_86))) (let ((_let_88 (= _let_77 _let_87))) (let ((_let_89 (not _let_77))) (let ((_let_90 (forall ((X102 $$unsorted) (X103 $$unsorted)) (= (tptp.leaf_occ X102 X103) (and (tptp.subactivity_occurrence X102 X103) (not (forall ((X104 $$unsorted)) (or (not (tptp.occurrence_of X103 X104)) (not (tptp.leaf X102 X104)))))))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (not _let_87))) (let ((_let_93 (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))) (let ((_let_94 (not _let_93))) (let ((_let_95 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_94))) (let ((_let_98 (= tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))) (let ((_let_99 (or _let_83 _let_96 _let_98))) (let ((_let_100 (forall ((X59 $$unsorted)) (not (tptp.min_precedes 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_let_27))) _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 5)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_56)) :args ((or _let_22 _let_36))) _let_61 :args (_let_22 true _let_36)) :args (_let_27 false _let_24 false _let_22)) :args ((not _let_14) true _let_26)) :args (_let_21 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.min_precedes X60 X61 X62)))) :args _let_20)) _let_19 :args (_let_16 false _let_18)) :args (_let_17 true _let_15 false _let_16)) :args (false false _let_13 false _let_12 true _let_11)) :args ((forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.occurrence_of X1 X0) (and (tptp.activity X0) (tptp.activity_occurrence X1)))) (forall ((X2 $$unsorted)) (=> (tptp.activity_occurrence X2) (exists ((X3 $$unsorted)) (and (tptp.activity X3) (tptp.occurrence_of X2 X3))))) _let_10 (forall ((X7 $$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_9 (forall ((X18 $$unsorted)) (=> (tptp.legal X18) (tptp.arboreal X18))) (forall ((X19 $$unsorted) (X20 $$unsorted)) (=> (and (tptp.legal X19) (tptp.earlier X20 X19)) (tptp.legal X20))) (forall ((X21 $$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 $$unsorted)) (and (tptp.root X34 X33) (tptp.min_precedes X34 X32 X33))))) (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (tptp.min_precedes X35 X36 X37) (not (tptp.root X36 X37)))) (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.min_precedes X38 X39 X40) (tptp.precedes X38 X39))) (forall ((X41 $$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_8 _let_7 (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 $$unsorted)) (=> (tptp.subactivity_occurrence X67 X68) (and (tptp.activity_occurrence X67) (tptp.activity_occurrence X68)))) _let_6 (forall ((X73 $$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 $$unsorted)) (and (tptp.root X78 X76) (tptp.subactivity_occurrence X78 X77))))) (forall ((X79 $$unsorted) (X80 $$unsorted) (X81 $$unsorted) (X82 $$unsorted)) (=> (and (tptp.occurrence_of X80 X79) (tptp.arboreal X81) (tptp.arboreal X82) (tptp.subactivity_occurrence X81 X80) (tptp.subactivity_occurrence X82 X80)) (or (tptp.min_precedes X81 X82 X79) (tptp.min_precedes X82 X81 X79) (= X81 X82)))) (forall ((X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted) (X86 $$unsorted)) (=> (and (tptp.min_precedes X83 X84 X85) (tptp.occurrence_of X86 X85) (tptp.subactivity_occurrence X84 X86)) (tptp.subactivity_occurrence X83 X86))) (forall ((X87 $$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))))) _let_5 _let_4 (tptp.activity tptp.tptp0) (not (tptp.atomic tptp.tptp0)) (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp1) (tptp.atomic tptp.tptp2) _let_3 _let_2 (not (= tptp.tptp4 tptp.tptp1)) (not (= tptp.tptp4 tptp.tptp2)) (not (= tptp.tptp3 tptp.tptp1)) (not (= tptp.tptp3 tptp.tptp2)) (not (= tptp.tptp1 tptp.tptp2)) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.76/26.99  )
% 26.76/26.99  % SZS output end Proof for PRO018+1
% 26.76/26.99  % cvc5---1.0.5 exiting
% 26.76/26.99  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------