%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO017+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n001.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 26.42s 26.65s
% Output   : Proof 26.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PRO017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n001.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 19:44:20 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 26.42/26.65  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.oAghptj86m/cvc5---1.0.5_30015.p...
% 26.42/26.65  ------- get file name : TPTP file name is PRO017+1
% 26.42/26.65  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30015.smt2...
% 26.42/26.65  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.42/26.65  --- Run --no-e-matching --full-saturate-quant at 5...
% 26.42/26.65  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.42/26.65  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.42/26.65  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.42/26.65  % SZS status Theorem for PRO017+1
% 26.42/26.65  % SZS output start Proof for PRO017+1
% 26.42/26.65  (
% 26.42/26.65  (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)) (and (tptp.occurrence_of X113 tptp.tptp3) (tptp.next_subocc X111 X113 tptp.tptp0) (or (tptp.occurrence_of X114 tptp.tptp2) (tptp.occurrence_of X114 tptp.tptp1)) (tptp.min_precedes X113 X114 tptp.tptp0) (tptp.leaf X114 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 $$unsorted)) (and (tptp.occurrence_of X107 tptp.tptp3) (tptp.next_subocc X105 X107 tptp.tptp0) (tptp.occurrence_of X108 tptp.tptp4) (tptp.min_precedes X107 X108 tptp.tptp0) (or (tptp.occurrence_of X109 tptp.tptp2) (tptp.occurrence_of X109 tptp.tptp1)) (tptp.min_precedes X108 X109 tptp.tptp0) (forall ((X110 $$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.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93))) (let ((_let_13 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 tptp.tptp0))) (let ((_let_14 (forall ((X110 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X110 tptp.tptp0)) (= X110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (= X110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (not _let_11))) (let ((_let_17 (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp2)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp1))))) (let ((_let_18 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp4))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0)))) (let ((_let_23 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22 _let_21 _let_19 _let_17 _let_16 _let_15))) (let ((_let_26 (forall ((X107 $$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.tptp2)) (not (tptp.occurrence_of X109 tptp.tptp1))) (not (tptp.min_precedes X108 X109 tptp.tptp0)) (not (forall ((X110 $$unsorted)) (or (not (tptp.min_precedes X107 X110 tptp.tptp0)) (= X108 X110) (= X109 X110)))))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_31 _let_29 _let_28))) (let ((_let_37 (forall ((X105 $$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.tptp2)) (not (tptp.occurrence_of X109 tptp.tptp1))) (not (tptp.min_precedes X108 X109 tptp.tptp0)) (not (forall ((X110 $$unsorted)) (or (not (tptp.min_precedes X107 X110 tptp.tptp0)) (= X108 X110) (= X109 X110))))))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 ((not (= (tptp.subactivity_occurrence X105 X106) false))))) (let ((_let_41 (or _let_35 _let_33 _let_31 _let_29 (not (forall ((X113 $$unsorted) (X114 $$unsorted)) (or (not (tptp.occurrence_of X113 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X113 tptp.tptp0)) (and (not (tptp.occurrence_of X114 tptp.tptp2)) (not (tptp.occurrence_of X114 tptp.tptp1))) (not (tptp.min_precedes X113 X114 tptp.tptp0)) (not (tptp.leaf X114 tptp.tptp0)))))))) (let ((_let_42 (forall ((X111 $$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 $$unsorted)) (or (not (tptp.occurrence_of X113 tptp.tptp3)) (not (tptp.next_subocc X111 X113 tptp.tptp0)) (and (not (tptp.occurrence_of X114 tptp.tptp2)) (not (tptp.occurrence_of X114 tptp.tptp1))) (not (tptp.min_precedes X113 X114 tptp.tptp0)) (not (tptp.leaf X114 tptp.tptp0))))))))) (let ((_let_43 (not _let_41))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (or))) (let ((_let_46 (not _let_42))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_44) :args (_let_46))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_42))) (REFL :args (_let_43)) :args _let_45)) _let_44 :args (_let_43 true _let_42)))) (let ((_let_48 (REFL :args (_let_41)))) (let ((_let_49 (_let_28))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_49)) :args _let_49) (REWRITE :args ((=> _let_28 (not (or _let_24 _let_22 _let_21 _let_19 _let_17 _let_16 (not (forall ((X110 $$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_28) _let_26))) (REFL :args (_let_27)) :args _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_33 _let_31 _let_29 _let_28 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 0)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_45)) :args ((or _let_34 _let_41))) _let_47 :args (_let_34 true _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 1)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_45)) :args ((or _let_32 _let_41))) _let_47 :args (_let_32 true _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 2)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_45)) :args ((or _let_30 _let_41))) _let_47 :args (_let_30 true _let_41)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_41 3)) _let_47 :args ((not _let_29) true _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_36 false _let_37)) :args (_let_28 false _let_34 false _let_32 false _let_30 true _let_29 false _let_36)) :args (_let_27 true _let_26)))) (let ((_let_51 (REFL :args (_let_25)))) (let ((_let_52 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93))) (let ((_let_53 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 tptp.tptp0))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52 _let_12))) (let ((_let_56 (_let_14))) (let ((_let_57 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 tptp.tptp3))) (let ((_let_58 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp3))) (let ((_let_59 (not _let_52))) (let ((_let_60 (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 tptp.tptp0)))) (let ((_let_61 (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 tptp.tptp2)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 tptp.tptp1))))) (let ((_let_62 (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 tptp.tptp0)))) (let ((_let_63 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 tptp.tptp4)))) (let ((_let_64 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 tptp.tptp0))) (let ((_let_65 (not _let_64))) (let ((_let_66 (not _let_57))) (let ((_let_67 (or _let_66 _let_65 _let_63 _let_62 _let_61 _let_60 (not (forall ((X110 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 X110 tptp.tptp0)) (= X110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94) (= X110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95))))))) (let ((_let_68 (forall ((X107 $$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.tptp2)) (not (tptp.occurrence_of X109 tptp.tptp1))) (not (tptp.min_precedes X108 X109 tptp.tptp0)) (not (forall ((X110 $$unsorted)) (or (not (tptp.min_precedes X107 X110 tptp.tptp0)) (= X108 X110) (= X109 X110)))))))) (let ((_let_69 (not _let_67))) (let ((_let_70 (not _let_68))) (let ((_let_71 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_72 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 tptp.tptp0))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75 _let_73 _let_71 _let_70))) (let ((_let_79 (forall ((X104 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 X104)) (not (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X104)))))) (let ((_let_80 (not _let_79))) (let ((_let_81 (and _let_74 _let_80))) (let ((_let_82 (= _let_71 _let_81))) (let ((_let_83 (not _let_71))) (let ((_let_84 (forall ((X102 $$unsorted) (X103 $$unsorted)) (= (tptp.leaf_occ X102 X103) (and (tptp.subactivity_occurrence X102 X103) (not (forall ((X104 $$unsorted)) (or (not (tptp.occurrence_of X103 X104)) (not (tptp.leaf X102 X104)))))))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (not _let_81))) (let ((_let_87 (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_88))) (let ((_let_92 (= tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))) (let ((_let_93 (or _let_77 _let_90 _let_92))) (let ((_let_94 (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_95 (REFL :args (_let_91)))) (let ((_let_96 (or _let_77 _let_75 (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))))) (let ((_let_97 (forall ((X72 $$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_98 (not _let_96))) (let ((_let_99 (not _let_97))) (let ((_let_100 (or _let_19 _let_99))) (let ((_let_101 (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_102 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 3)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_45)) :args ((or _let_18 _let_25))) _let_50 :args (_let_18 true _let_25)))) (let ((_let_104 (_let_99))) (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_99) _let_97))) (REFL :args (_let_98)) :args _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_19 _let_99 (not _let_100)))) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :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_101))) _let_102 :args (_let_100 false _let_101)) :args (_let_99 false _let_18 false _let_100)) :args (_let_98 true _let_97)))) (let ((_let_106 (REFL :args (_let_96)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_96 0)) (CONG _let_106 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_76))) :args _let_45)) :args ((or _let_76 _let_96))) _let_105 :args (_let_76 true _let_96)))) (let ((_let_108 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.occurrence_of X4 X5)) (not (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (_let_108))) (let ((_let_111 (forall ((X59 $$unsorted)) (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X59 tptp.tptp0))))) (let ((_let_112 (and (or (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0) (not (forall ((X58 $$unsorted)) (not (tptp.min_precedes X58 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(or _let_19 _let_145))) (let ((_let_147 (_let_138))) (let ((_let_148 (ASSUME :args (_let_145)))) (let ((_let_149 (ASSUME :args (_let_12)))) (let ((_let_150 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_148 _let_149 _let_150) :args (_let_11 _let_12 _let_145)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_150)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (SYMM (SYMM _let_149)) (REFL :args (tptp.tptp0)) :args (APPLY_UF tptp.min_precedes)) (FALSE_INTRO _let_148))) :args (_let_145 _let_12 _let_11)) :args ((not (and _let_11 _let_12 _let_145)) SB_LITERAL))) (CONG (REFL :args (_let_16)) (REFL :args ((not _let_12))) (MACRO_SR_PRED_INTRO :args ((= (not _let_145) _let_13))) :args _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_19 _let_145 (not _let_146)))) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args 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(tptp.earlier X21 X22) (tptp.legal X22)))) (forall ((X23 $$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.tptp2) (tptp.atomic tptp.tptp1) _let_3 _let_2 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.48/26.66  )
% 26.48/26.66  % SZS output end Proof for PRO017+1
% 26.48/26.66  % cvc5---1.0.5 exiting
% 26.48/26.66  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------