%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO016+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 13:06:27 EDT 2023

% Result   : Theorem 44.21s 44.41s
% Output   : Proof 44.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : PRO016+2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n006.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon Aug 28 19:08:06 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 44.21/44.41  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.dloiORia60/cvc5---1.0.5_17813.p...
% 44.21/44.41  ------- get file name : TPTP file name is PRO016+2
% 44.21/44.41  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17813.smt2...
% 44.21/44.41  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 44.21/44.41  --- Run --no-e-matching --full-saturate-quant at 5...
% 44.21/44.41  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 44.21/44.41  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 44.21/44.41  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 44.21/44.41  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 44.21/44.41  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 44.21/44.41  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 44.21/44.41  % SZS status Theorem for PRO016+2
% 44.21/44.41  % SZS output start Proof for PRO016+2
% 44.21/44.41  (
% 44.21/44.41  (let ((_let_1 (not (forall ((X100 $$unsorted) (X101 $$unsorted)) (=> (and (tptp.occurrence_of X101 tptp.tptp0) (tptp.subactivity_occurrence X100 X101) (tptp.arboreal X100) (not (tptp.leaf_occ X100 X101))) (exists ((X102 $$unsorted) (X103 $$unsorted)) (let ((_let_1 (tptp.occurrence_of X103 tptp.tptp2))) (let ((_let_2 (tptp.occurrence_of X103 tptp.tptp1))) (and (tptp.occurrence_of X102 tptp.tptp3) (tptp.next_subocc X100 X102 tptp.tptp0) (or _let_2 _let_1) (tptp.min_precedes X102 X103 tptp.tptp0) (tptp.leaf_occ X103 X101) (=> _let_2 (not (exists ((X104 $$unsorted)) (and (tptp.occurrence_of X104 tptp.tptp2) (tptp.min_precedes X102 X104 tptp.tptp0))))) (=> _let_1 (not (exists ((X105 $$unsorted)) (and (tptp.occurrence_of X105 tptp.tptp1) (tptp.min_precedes X102 X105 tptp.tptp0)))))))))))))) (let ((_let_2 (tptp.atomic tptp.tptp0))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((X95 $$unsorted) (X96 $$unsorted)) (=> (and (tptp.occurrence_of X96 tptp.tptp0) (tptp.subactivity_occurrence X95 X96) (tptp.arboreal X95) (not (tptp.leaf_occ X95 X96))) (exists ((X97 $$unsorted) (X98 $$unsorted) (X99 $$unsorted)) (and (tptp.occurrence_of X97 tptp.tptp3) (tptp.next_subocc X95 X97 tptp.tptp0) (tptp.occurrence_of X98 tptp.tptp4) (tptp.next_subocc X97 X98 tptp.tptp0) (or (tptp.occurrence_of X99 tptp.tptp1) (tptp.occurrence_of X99 tptp.tptp2)) (tptp.next_subocc X98 X99 tptp.tptp0) (tptp.leaf_occ X99 X96))))))) (let ((_let_5 (forall ((X70 $$unsorted) (X71 $$unsorted) (X72 $$unsorted)) (=> (tptp.min_precedes X71 X72 X70) (exists ((X73 $$unsorted)) (and (tptp.occurrence_of X73 X70) (tptp.subactivity_occurrence X71 X73) (tptp.subactivity_occurrence X72 X73))))))) (let ((_let_6 (forall ((X64 $$unsorted) (X65 $$unsorted) (X66 $$unsorted)) (=> (and (tptp.occurrence_of X64 X65) (tptp.occurrence_of X64 X66)) (= X65 X66))))) (let ((_let_7 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (=> (and (tptp.occurrence_of X60 X62) (tptp.leaf_occ X61 X60)) (not (exists ((X63 $$unsorted)) (tptp.min_precedes X61 X63 X62))))))) (let ((_let_8 (forall ((X35 $$unsorted) (X36 $$unsorted)) (= (tptp.leaf_occ X35 X36) (exists ((X37 $$unsorted)) (and (tptp.occurrence_of X36 X37) (tptp.subactivity_occurrence X35 X36) (tptp.leaf X35 X37))))))) (let ((_let_9 (forall ((X19 $$unsorted) (X20 $$unsorted) (X21 $$unsorted)) (=> (tptp.next_subocc X19 X20 X21) (and (tptp.arboreal X19) (tptp.arboreal X20)))))) (let ((_let_10 (forall ((X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (= (tptp.next_subocc X15 X16 X17) (and (tptp.min_precedes X15 X16 X17) (not (exists ((X18 $$unsorted)) (and (tptp.min_precedes X15 X18 X17) (tptp.min_precedes X18 X16 X17))))))))) (let ((_let_11 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted)) (=> (and (tptp.occurrence_of X13 X14) (not (tptp.atomic X14)) (tptp.leaf_occ X11 X13) (tptp.leaf_occ X12 X13)) (= X11 X12))))) (let ((_let_12 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (=> (and (tptp.min_precedes X0 X1 X3) (tptp.min_precedes X1 X2 X3)) (tptp.min_precedes X0 X2 X3))))) (let ((_let_13 (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_14 (= tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_15 (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_16 (not _let_13))) (let ((_let_17 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16))) (let ((_let_20 (forall ((X37 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X37)) (not (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X37)))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (not _let_20))) (let ((_let_23 (and (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_22))) (let ((_let_24 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (= _let_24 _let_23))) (let ((_let_26 (forall ((X35 $$unsorted) (X36 $$unsorted)) (= (tptp.leaf_occ X35 X36) (and (tptp.subactivity_occurrence X35 X36) (not (forall ((X37 $$unsorted)) (or (not (tptp.occurrence_of X36 X37)) (not (tptp.leaf X35 X37)))))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 (not _let_24))) (let ((_let_30 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp4)) _let_33 (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp1)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp2))) _let_31 _let_29))) (let ((_let_35 (forall ((X97 $$unsorted) (X98 $$unsorted) (X99 $$unsorted)) (or (not (tptp.occurrence_of X97 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X97 tptp.tptp0)) (not (tptp.occurrence_of X98 tptp.tptp4)) (not (tptp.next_subocc X97 X98 tptp.tptp0)) (and (not (tptp.occurrence_of X99 tptp.tptp1)) (not (tptp.occurrence_of X99 tptp.tptp2))) (not (tptp.next_subocc X98 X99 tptp.tptp0)) (not (tptp.leaf_occ X99 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_36 (not _let_34))) (let ((_let_37 (not _let_35))) (let ((_let_38 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_39 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42 _let_40 _let_38 _let_37))) (let ((_let_46 (forall ((X95 $$unsorted) (X96 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp0)) (not (tptp.subactivity_occurrence X95 X96)) (not (tptp.arboreal X95)) (tptp.leaf_occ X95 X96) (not (forall ((X97 $$unsorted) (X98 $$unsorted) (X99 $$unsorted)) (or (not (tptp.occurrence_of X97 tptp.tptp3)) (not (tptp.next_subocc X95 X97 tptp.tptp0)) (not (tptp.occurrence_of X98 tptp.tptp4)) (not (tptp.next_subocc X97 X98 tptp.tptp0)) (and (not (tptp.occurrence_of X99 tptp.tptp1)) (not (tptp.occurrence_of X99 tptp.tptp2))) (not (tptp.next_subocc X98 X99 tptp.tptp0)) (not (tptp.leaf_occ X99 X96))))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_46))) (let ((_let_49 ((not (= (tptp.subactivity_occurrence X95 X96) false))))) (let ((_let_50 (or _let_44 _let_42 _let_40 _let_38 (not (forall ((X102 $$unsorted) (X103 $$unsorted)) (let ((_let_1 (tptp.occurrence_of X103 tptp.tptp2))) (let ((_let_2 (tptp.occurrence_of X103 tptp.tptp1))) (or (not (tptp.occurrence_of X102 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X102 tptp.tptp0)) (and (not _let_2) (not _let_1)) (not (tptp.min_precedes X102 X103 tptp.tptp0)) (not (tptp.leaf_occ X103 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (and _let_2 (not (forall ((X104 $$unsorted)) (or (not (tptp.occurrence_of X104 tptp.tptp2)) (not (tptp.min_precedes X102 X104 tptp.tptp0)))))) (and _let_1 (not (forall ((X105 $$unsorted)) (or (not (tptp.occurrence_of X105 tptp.tptp1)) (not (tptp.min_precedes X102 X105 tptp.tptp0)))))))))))))) (let ((_let_51 (forall ((X100 $$unsorted) (X101 $$unsorted)) (or (not (tptp.occurrence_of X101 tptp.tptp0)) (not (tptp.subactivity_occurrence X100 X101)) (not (tptp.arboreal X100)) (tptp.leaf_occ X100 X101) (not (forall ((X102 $$unsorted) (X103 $$unsorted)) (let ((_let_1 (tptp.occurrence_of X103 tptp.tptp2))) (let ((_let_2 (tptp.occurrence_of X103 tptp.tptp1))) (or (not (tptp.occurrence_of X102 tptp.tptp3)) (not (tptp.next_subocc X100 X102 tptp.tptp0)) (and (not _let_2) (not _let_1)) (not (tptp.min_precedes X102 X103 tptp.tptp0)) (not (tptp.leaf_occ X103 X101)) (and _let_2 (not (forall ((X104 $$unsorted)) (or (not (tptp.occurrence_of X104 tptp.tptp2)) (not (tptp.min_precedes X102 X104 tptp.tptp0)))))) (and _let_1 (not (forall ((X105 $$unsorted)) (or (not (tptp.occurrence_of X105 tptp.tptp1)) (not (tptp.min_precedes X102 X105 tptp.tptp0))))))))))))))) (let ((_let_52 (not _let_50))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (or))) (let ((_let_55 (not _let_51))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_53) :args (_let_55))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_51))) (REFL :args (_let_52)) :args _let_54)) _let_53 :args (_let_52 true _let_51)))) (let ((_let_57 (REFL :args (_let_50)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 0)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_54)) :args ((or _let_43 _let_50))) _let_56 :args (_let_43 true _let_50)))) (let ((_let_59 (_let_37))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_59)) :args _let_59)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_35))) (REFL :args (_let_36)) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_42 _let_40 _let_38 _let_37 (not _let_45)))) _let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 1)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_54)) :args ((or _let_41 _let_50))) _let_56 :args (_let_41 true _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 2)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_54)) :args ((or _let_39 _let_50))) _let_56 :args (_let_39 true _let_50)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_50 3)) _let_56 :args ((not _let_38) true _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_47 :args (_let_45 false _let_46)) :args (_let_37 false _let_43 false _let_41 false _let_39 true _let_38 false _let_45)) :args (_let_36 true _let_35)))) (let ((_let_61 (REFL :args (_let_34)))) (let ((_let_62 (_let_22))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_62)) :args _let_62)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_20))) (REFL :args (_let_21)) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 1)) :args ((or _let_22 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_25)) :args ((or _let_29 _let_23 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 6)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_24))) :args _let_54)) :args ((or _let_24 _let_34))) _let_60 :args (_let_24 true _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.leaf_occ X35 X36)))) :args _let_28)) _let_27 :args (_let_25 false _let_26)) :args (_let_23 false _let_24 false _let_25)) :args (_let_22 false _let_23)) :args (_let_21 true _let_20)))) (let ((_let_64 (REFL :args (_let_19)))) (let ((_let_65 (or _let_44 _let_18 _let_14))) (let ((_let_66 (forall ((X64 $$unsorted) (X65 $$unsorted) (X66 $$unsorted)) (or (not (tptp.occurrence_of X64 X65)) (not (tptp.occurrence_of X64 X66)) (= X65 X66))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (not _let_15))) (let ((_let_69 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 tptp.tptp0))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68))) (let ((_let_72 (forall ((X37 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 X37)) (not (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X37)))))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_75 (and _let_74 _let_73))) (let ((_let_76 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_77 (= _let_76 _let_75))) (let ((_let_78 (not _let_75))) (let ((_let_79 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68))) (let ((_let_80 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_81 (not _let_80))) (let ((_let_82 (not _let_76))) (let ((_let_83 (or _let_70 _let_2 _let_82 _let_81 _let_79))) (let ((_let_84 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted)) (or (not (tptp.occurrence_of X13 X14)) (tptp.atomic X14) (not (tptp.leaf_occ X11 X13)) (not (tptp.leaf_occ X12 X13)) (= X11 X12))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))) (let ((_let_87 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_88 (not _let_79))) (let ((_let_89 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))) (let ((_let_90 (not _let_89))) (let ((_let_91 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_90 _let_86))) (let ((_let_94 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (tptp.min_precedes X0 X1 X3)) (not (tptp.min_precedes X1 X2 X3)) (tptp.min_precedes X0 X2 X3))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (and _let_89 (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 X18 tptp.tptp0)) (not (tptp.min_precedes X18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))))))) (let ((_let_97 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))) (let ((_let_98 (= 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tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_157 false _let_99)) :args (_let_156 false _let_106 false _let_157)) :args (_let_152 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_155) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 QUANTIFIERS_INST_CBQI_PROP)) :args _let_155)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_133 1)) :args ((or _let_132 _let_136))) _let_135 :args (_let_132 false _let_133)) :args (_let_154 false _let_132)) :args (_let_151 false _let_152 false _let_154)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_92 _let_90 _let_86 (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_149 0)) :args ((or _let_91 (not _let_149)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_150)) :args ((or _let_105 _let_149 (not _let_150)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_108 3)) (CONG _let_148 (MACRO_SR_PRED_INTRO :args ((= (not _let_105) _let_104))) :args _let_54)) :args ((or _let_104 _let_108))) _let_147 :args (_let_104 true _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_150 false _let_99)) :args (_let_149 false _let_104 false _let_150)) :args (_let_91 false _let_149)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 0)) :args ((or _let_89 (not _let_96)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_98)) :args ((or _let_103 _let_96 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_108 5)) (CONG _let_148 (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_97))) :args _let_54)) :args ((or _let_97 _let_108))) _let_147 :args (_let_97 true _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_98 false _let_99)) :args (_let_96 false _let_97 false _let_98)) :args (_let_89 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_94))) _let_95 :args (_let_93 false _let_94)) :args (_let_86 false _let_91 false _let_89 false _let_93)) :args (_let_88 true _let_87 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_84))) _let_85 :args (_let_83 false _let_84)) :args (_let_82 true _let_2 false _let_69 false _let_80 true _let_79 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subactivity_occurrence X35 X36)))) :args _let_28)) _let_27 :args (_let_77 false _let_26)) :args (_let_78 true _let_76 false _let_77)) :args (_let_72 false _let_74 true _let_75)) :args (_let_71 false _let_72)) :args (_let_68 false _let_69 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_44 _let_18 _let_14 (not _let_65)))) _let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_54)) :args ((or _let_17 _let_19))) _let_63 :args (_let_17 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_66))) _let_67 :args (_let_65 false _let_66)) :args (_let_14 false _let_43 false _let_17 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_13))) :args _let_54)) :args ((or _let_13 _let_19))) _let_63 :args (_let_13 true _let_19)) :args (false true _let_15 false _let_14 false _let_13)) :args (_let_12 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (=> (and (tptp.earlier X4 X5) (tptp.earlier X5 X6)) (tptp.earlier X4 X6))) (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (=> (and (tptp.occurrence_of X9 X10) (tptp.root_occ X7 X9) (tptp.root_occ X8 X9)) (= X7 X8))) _let_11 _let_10 _let_9 (forall ((X22 $$unsorted) (X23 $$unsorted) (X24 $$unsorted)) (=> (tptp.min_precedes X22 X23 X24) (tptp.precedes X22 X23))) (forall ((X25 $$unsorted) (X26 $$unsorted) (X27 $$unsorted)) (=> (tptp.min_precedes X25 X26 X27) (not (tptp.root X26 X27)))) (forall ((X28 $$unsorted) (X29 $$unsorted)) (= (tptp.precedes X28 X29) (and (tptp.earlier X28 X29) (tptp.legal X29)))) (forall ((X30 $$unsorted) (X31 $$unsorted)) (=> (tptp.earlier X30 X31) (not (tptp.earlier X31 X30)))) (forall ((X32 $$unsorted) (X33 $$unsorted)) (= (tptp.root_occ X32 X33) (exists ((X34 $$unsorted)) (and (tptp.occurrence_of X33 X34) (tptp.subactivity_occurrence X32 X33) (tptp.root X32 X34))))) _let_8 (forall ((X38 $$unsorted) (X39 $$unsorted)) (=> (tptp.root X38 X39) (tptp.legal X38))) (forall ((X40 $$unsorted) (X41 $$unsorted)) (=> (tptp.occurrence_of X40 X41) (= (tptp.arboreal X40) (tptp.atomic X41)))) (forall ((X42 $$unsorted) (X43 $$unsorted)) (= (tptp.leaf X42 X43) (and (or (tptp.root X42 X43) (exists ((X44 $$unsorted)) (tptp.min_precedes X44 X42 X43))) (not (exists ((X45 $$unsorted)) (tptp.min_precedes X42 X45 X43)))))) (forall ((X46 $$unsorted) (X47 $$unsorted)) (= (tptp.atocc X46 X47) (exists ((X48 $$unsorted)) (and (tptp.subactivity X47 X48) (tptp.atomic X48) (tptp.occurrence_of X46 X48))))) (forall ((X49 $$unsorted) (X50 $$unsorted)) (=> (and (tptp.atocc X49 X50) (tptp.legal X49)) (tptp.root X49 X50))) (forall ((X51 $$unsorted)) (=> (tptp.legal X51) (tptp.arboreal X51))) (forall ((X52 $$unsorted)) (=> (tptp.activity_occurrence X52) (exists ((X53 $$unsorted)) (and (tptp.activity X53) (tptp.occurrence_of X52 X53))))) (forall ((X54 $$unsorted) (X55 $$unsorted)) (=> (tptp.subactivity_occurrence X54 X55) (and (tptp.activity_occurrence X54) (tptp.activity_occurrence X55)))) (forall ((X56 $$unsorted) (X57 $$unsorted) (X58 $$unsorted)) (=> (and (tptp.occurrence_of X56 X58) (tptp.root_occ X57 X56)) (not (exists ((X59 $$unsorted)) (tptp.min_precedes X59 X57 X58))))) _let_7 _let_6 (forall ((X67 $$unsorted) (X68 $$unsorted)) (=> (and (tptp.leaf X67 X68) (not (tptp.atomic X68))) (exists ((X69 $$unsorted)) (and (tptp.occurrence_of X69 X68) (tptp.leaf_occ X67 X69))))) _let_5 (forall ((X74 $$unsorted) (X75 $$unsorted)) (=> (and (tptp.leaf X74 X75) (not (tptp.atomic X75))) (exists ((X76 $$unsorted)) (and (tptp.occurrence_of X76 X75) (tptp.leaf_occ X74 X76))))) (forall ((X77 $$unsorted) (X78 $$unsorted) (X79 $$unsorted)) (=> (tptp.min_precedes X78 X79 X77) (exists ((X80 $$unsorted) (X81 $$unsorted)) (and (tptp.subactivity X80 X77) (tptp.subactivity X81 X77) (tptp.atocc X78 X80) (tptp.atocc X79 X81))))) (forall ((X82 $$unsorted) (X83 $$unsorted)) (=> (tptp.root X83 X82) (exists ((X84 $$unsorted)) (and (tptp.subactivity X84 X82) (tptp.atocc X83 X84))))) (forall ((X85 $$unsorted) (X86 $$unsorted) (X87 $$unsorted) (X88 $$unsorted)) (=> (and (tptp.occurrence_of X86 X85) (tptp.arboreal X87) (tptp.arboreal X88) (tptp.subactivity_occurrence X87 X86) (tptp.subactivity_occurrence X88 X86)) (or (tptp.min_precedes X87 X88 X85) (tptp.min_precedes X88 X87 X85) (= X87 X88)))) (forall ((X89 $$unsorted) (X90 $$unsorted)) (=> (tptp.occurrence_of X90 X89) (and (tptp.activity X89) (tptp.activity_occurrence X90)))) (forall ((X91 $$unsorted) (X92 $$unsorted)) (=> (and (tptp.occurrence_of X92 X91) (not (tptp.atomic X91))) (exists ((X93 $$unsorted)) (and (tptp.root X93 X91) (tptp.subactivity_occurrence X93 X92))))) (forall ((X94 $$unsorted)) (=> (tptp.activity X94) (tptp.subactivity X94 X94))) _let_4 (tptp.activity tptp.tptp0) _let_3 (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp1) (tptp.atomic tptp.tptp2) (tptp.atomic tptp.tptp3) (not (= tptp.tptp4 tptp.tptp3)) (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 44.21/44.42  )
% 44.21/44.42  % SZS output end Proof for PRO016+2
% 44.21/44.42  % cvc5---1.0.5 exiting
% 44.21/44.42  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------