TSTP Solution File: PRO009+2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO009+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 13:06:21 EDT 2023

% Result   : Theorem 0.21s 0.65s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PRO009+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n024.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 19:31:08 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.65  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ygESdGeCqS/cvc5---1.0.5_12547.p...
% 0.21/0.65  ------- get file name : TPTP file name is PRO009+2
% 0.21/0.65  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12547.smt2...
% 0.21/0.65  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.65  % SZS status Theorem for PRO009+2
% 0.21/0.65  % SZS output start Proof for PRO009+2
% 0.21/0.65  (
% 0.21/0.65  (let ((_let_1 (not (forall ((X99 $$unsorted)) (=> (tptp.occurrence_of X99 tptp.tptp0) (exists ((X100 $$unsorted) (X101 $$unsorted)) (and (tptp.occurrence_of X100 tptp.tptp3) (tptp.root_occ X100 X99) (or (tptp.occurrence_of X101 tptp.tptp2) (tptp.occurrence_of X101 tptp.tptp1)) (tptp.min_precedes X100 X101 tptp.tptp0) (tptp.leaf_occ X101 X99)))))))) (let ((_let_2 (forall ((X95 $$unsorted)) (=> (tptp.occurrence_of X95 tptp.tptp0) (exists ((X96 $$unsorted) (X97 $$unsorted) (X98 $$unsorted)) (and (tptp.occurrence_of X96 tptp.tptp3) (tptp.root_occ X96 X95) (tptp.occurrence_of X97 tptp.tptp4) (tptp.next_subocc X96 X97 tptp.tptp0) (or (tptp.occurrence_of X98 tptp.tptp2) (tptp.occurrence_of X98 tptp.tptp1)) (tptp.next_subocc X97 X98 tptp.tptp0) (tptp.leaf_occ X98 X95))))))) (let ((_let_3 (forall ((X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (= (tptp.next_subocc X15 X16 X17) (and (tptp.min_precedes X15 X16 X17) (not (exists ((X18 $$unsorted)) (and (tptp.min_precedes X15 X18 X17) (tptp.min_precedes X18 X16 X17))))))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (=> (and (tptp.min_precedes X0 X1 X3) (tptp.min_precedes X1 X2 X3)) (tptp.min_precedes X0 X2 X3))))) (let ((_let_5 (forall ((X100 $$unsorted) (X101 $$unsorted)) (or (not (tptp.occurrence_of X100 tptp.tptp3)) (not (tptp.root_occ X100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.occurrence_of X101 tptp.tptp2)) (not (tptp.occurrence_of X101 tptp.tptp1))) (not (tptp.min_precedes X100 X101 tptp.tptp0)) (not (tptp.leaf_occ X101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_6 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_9 (not _let_8))) (let ((_let_10 (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp2)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp1))))) (let ((_let_11 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.tptp3))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_10 _let_9 _let_7))) (let ((_let_16 (not _let_5))) (let ((_let_17 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16))) (let ((_let_20 (forall ((X99 $$unsorted)) (or (not (tptp.occurrence_of X99 tptp.tptp0)) (not (forall ((X100 $$unsorted) (X101 $$unsorted)) (or (not (tptp.occurrence_of X100 tptp.tptp3)) (not (tptp.root_occ X100 X99)) (and (not (tptp.occurrence_of X101 tptp.tptp2)) (not (tptp.occurrence_of X101 tptp.tptp1))) (not (tptp.min_precedes X100 X101 tptp.tptp0)) (not (tptp.leaf_occ X101 X99))))))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_22) :args (_let_24))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_23)) _let_22 :args (_let_21 true _let_20)))) (let ((_let_26 (REFL :args (_let_19)))) (let ((_let_27 (not _let_15))) (let ((_let_28 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29 _let_8))) (let ((_let_33 (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_34 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (and _let_28 (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X18 tptp.tptp0)) (not (tptp.min_precedes X18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))))))) (let ((_let_36 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_37 (= _let_36 _let_35))) (let ((_let_38 (forall ((X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (= (tptp.next_subocc X15 X16 X17) (and (tptp.min_precedes X15 X16 X17) (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes X15 X18 X17)) (not (tptp.min_precedes X18 X16 X17))))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 ((tptp.next_subocc X15 X16 X17)))) (let ((_let_42 (not _let_36))) (let ((_let_43 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_14 _let_12 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp4)) _let_44 _let_10 _let_42 _let_7))) (let ((_let_46 (forall ((X96 $$unsorted) (X97 $$unsorted) (X98 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp3)) (not (tptp.root_occ X96 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.occurrence_of X97 tptp.tptp4)) (not (tptp.next_subocc X96 X97 tptp.tptp0)) (and (not (tptp.occurrence_of X98 tptp.tptp2)) (not (tptp.occurrence_of X98 tptp.tptp1))) (not (tptp.next_subocc X97 X98 tptp.tptp0)) (not (tptp.leaf_occ X98 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (not _let_46))) (let ((_let_49 (or _let_18 _let_48))) (let ((_let_50 (forall ((X95 $$unsorted)) (or (not (tptp.occurrence_of X95 tptp.tptp0)) (not (forall ((X96 $$unsorted) (X97 $$unsorted) (X98 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp3)) (not (tptp.root_occ X96 X95)) (not (tptp.occurrence_of X97 tptp.tptp4)) (not (tptp.next_subocc X96 X97 tptp.tptp0)) (and (not (tptp.occurrence_of X98 tptp.tptp2)) (not (tptp.occurrence_of X98 tptp.tptp1))) (not (tptp.next_subocc X97 X98 tptp.tptp0)) (not (tptp.leaf_occ X98 X95))))))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_48))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_46))) (REFL :args (_let_47)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_18 _let_48 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_23)) :args ((or _let_17 _let_19))) _let_25 :args (_let_17 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X95 tptp.tptp0) false))))) :args (_let_50))) _let_51 :args (_let_49 false _let_50)) :args (_let_48 false _let_17 false _let_49)) :args (_let_47 true _let_46)))) (let ((_let_54 (REFL :args (_let_45)))) (let ((_let_55 (and _let_30 (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X18 tptp.tptp0)) (not (tptp.min_precedes X18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))))))) (let ((_let_56 (= _let_43 _let_55))) (let ((_let_57 (_let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X100 X101 tptp.tptp0) false))))) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_12 _let_10 _let_7 _let_9 _let_27))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 0)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_23)) :args ((or _let_13 _let_45))) _let_53 :args (_let_13 true _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 1)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_23)) :args ((or _let_11 _let_45))) _let_53 :args (_let_11 true _let_45)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_45 4)) _let_53 :args ((not _let_10) true _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 6)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_23)) :args ((or _let_6 _let_45))) _let_53 :args (_let_6 true _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_29 _let_8 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_55 0)) :args ((or _let_30 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_56)) :args ((or _let_44 _let_55 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 3)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_23)) :args ((or _let_43 _let_45))) _let_53 :args (_let_43 true _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_56 false _let_38)) :args (_let_55 false _let_43 false _let_56)) :args (_let_30 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_35 0)) :args ((or _let_28 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_37)) :args ((or _let_42 _let_35 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 5)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_36))) :args _let_23)) :args ((or _let_36 _let_45))) _let_53 :args (_let_36 true _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_37 false _let_38)) :args (_let_35 false _let_36 false _let_37)) :args (_let_28 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.min_precedes X0 X1 X3) false)) (not (= (tptp.min_precedes X1 X2 X3) false))))) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_8 false _let_30 false _let_28 false _let_32)) :args (_let_27 false _let_13 false _let_11 true _let_10 false _let_6 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_5))) :args _let_23)) :args ((or _let_5 _let_19))) _let_25 :args (_let_5 true _let_19)) :args (false true _let_15 false _let_5)) :args (_let_4 (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))) (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_3 (forall ((X19 $$unsorted) (X20 $$unsorted) (X21 $$unsorted)) (=> (tptp.next_subocc X19 X20 X21) (and (tptp.arboreal X19) (tptp.arboreal X20)))) (forall ((X22 $$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))))) (forall ((X35 $$unsorted) (X36 $$unsorted)) (= (tptp.leaf_occ X35 X36) (exists ((X37 $$unsorted)) (and (tptp.occurrence_of X36 X37) (tptp.subactivity_occurrence X35 X36) (tptp.leaf X35 X37))))) (forall ((X38 $$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 $$unsorted)) (tptp.min_precedes X59 X57 X58))))) (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (=> (and (tptp.occurrence_of X60 X62) (tptp.leaf_occ X61 X60)) (not (exists ((X63 $$unsorted)) (tptp.min_precedes X61 X63 X62))))) (forall ((X64 $$unsorted) (X65 $$unsorted) (X66 $$unsorted)) (=> (and (tptp.occurrence_of X64 X65) (tptp.occurrence_of X64 X66)) (= X65 X66))) (forall ((X67 $$unsorted) (X68 $$unsorted)) (=> (and (tptp.leaf X67 X68) (not (tptp.atomic X68))) (exists ((X69 $$unsorted)) (and (tptp.occurrence_of X69 X68) (tptp.leaf_occ X67 X69))))) (forall ((X70 $$unsorted) (X71 $$unsorted) (X72 $$unsorted)) (=> (tptp.min_precedes X71 X72 X70) (exists ((X73 $$unsorted)) (and (tptp.occurrence_of X73 X70) (tptp.subactivity_occurrence X71 X73) (tptp.subactivity_occurrence X72 X73))))) (forall ((X74 $$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_2 (tptp.activity tptp.tptp0) (not (tptp.atomic tptp.tptp0)) (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp2) (tptp.atomic tptp.tptp1) (tptp.atomic tptp.tptp3) (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) (not (= tptp.tptp4 tptp.tptp1)) (not (= tptp.tptp3 tptp.tptp2)) (not (= tptp.tptp3 tptp.tptp1)) (not (= tptp.tptp2 tptp.tptp1)) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.65  )
% 0.21/0.65  % SZS output end Proof for PRO009+2
% 0.21/0.65  % cvc5---1.0.5 exiting
% 0.21/0.66  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------