TSTP Solution File: PRO002+2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PRO002+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n020.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 13:05:57 EDT 2023

% Result   : Theorem 0.96s 1.05s
% Output   : CNFRefutation 0.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   67
% Syntax   : Number of formulae    :  182 (  39 unt;  47 typ;   0 def)
%            Number of atoms       :  389 (  35 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  417 ( 163   ~; 162   |;  71   &)
%                                         (   4 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   88 (  39   >;  49   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-5 aty)
%            Number of functors    :   28 (  28 usr;   8 con; 0-4 aty)
%            Number of variables   :  261 (  31 sgn; 125   !;  21   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    min_precedes: ( $i * $i * $i ) > $o ).

tff(decl_23,type,
    earlier: ( $i * $i ) > $o ).

tff(decl_24,type,
    occurrence_of: ( $i * $i ) > $o ).

tff(decl_25,type,
    root_occ: ( $i * $i ) > $o ).

tff(decl_26,type,
    atomic: $i > $o ).

tff(decl_27,type,
    leaf_occ: ( $i * $i ) > $o ).

tff(decl_28,type,
    next_subocc: ( $i * $i * $i ) > $o ).

tff(decl_29,type,
    arboreal: $i > $o ).

tff(decl_30,type,
    precedes: ( $i * $i ) > $o ).

tff(decl_31,type,
    root: ( $i * $i ) > $o ).

tff(decl_32,type,
    legal: $i > $o ).

tff(decl_33,type,
    subactivity_occurrence: ( $i * $i ) > $o ).

tff(decl_34,type,
    leaf: ( $i * $i ) > $o ).

tff(decl_35,type,
    atocc: ( $i * $i ) > $o ).

tff(decl_36,type,
    subactivity: ( $i * $i ) > $o ).

tff(decl_37,type,
    activity_occurrence: $i > $o ).

tff(decl_38,type,
    activity: $i > $o ).

tff(decl_39,type,
    tptp0: $i ).

tff(decl_40,type,
    tptp4: $i ).

tff(decl_41,type,
    tptp3: $i ).

tff(decl_42,type,
    tptp2: $i ).

tff(decl_43,type,
    tptp5: $i ).

tff(decl_44,type,
    send_message: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_45,type,
    tptp1: ( $i * $i * $i ) > $o ).

tff(decl_46,type,
    esk1_3: ( $i * $i * $i ) > $i ).

tff(decl_47,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_48,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_49,type,
    esk4_2: ( $i * $i ) > $i ).

tff(decl_50,type,
    esk5_2: ( $i * $i ) > $i ).

tff(decl_51,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_52,type,
    esk7_1: $i > $i ).

tff(decl_53,type,
    esk8_2: ( $i * $i ) > $i ).

tff(decl_54,type,
    esk9_3: ( $i * $i * $i ) > $i ).

tff(decl_55,type,
    esk10_2: ( $i * $i ) > $i ).

tff(decl_56,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_57,type,
    esk12_3: ( $i * $i * $i ) > $i ).

tff(decl_58,type,
    esk13_2: ( $i * $i ) > $i ).

tff(decl_59,type,
    esk14_2: ( $i * $i ) > $i ).

tff(decl_60,type,
    esk15_1: $i > $i ).

tff(decl_61,type,
    esk16_1: $i > $i ).

tff(decl_62,type,
    esk17_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_63,type,
    esk18_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_64,type,
    esk19_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_65,type,
    esk20_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_66,type,
    esk21_0: $i ).

tff(decl_67,type,
    esk22_0: $i ).

tff(decl_68,type,
    esk23_0: $i ).

fof(sos_48,axiom,
    ! [X115,X116,X117] :
      ( tptp1(X115,X116,X117)
     => ( activity(X115)
        & ~ atomic(X115)
        & ~ atomic(X116)
        & root(X117,X116) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_48) ).

fof(goals,conjecture,
    ~ ? [X128,X129,X130] :
        ( tptp1(X128,tptp0,X129)
        & occurrence_of(X130,X128) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(sos_30,axiom,
    ! [X92,X93] :
      ( ( occurrence_of(X93,X92)
        & ~ atomic(X92) )
     => ? [X94] :
          ( root(X94,X92)
          & subactivity_occurrence(X94,X93) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_30) ).

fof(sos_10,axiom,
    ! [X33,X34] :
      ( root_occ(X33,X34)
    <=> ? [X35] :
          ( occurrence_of(X34,X35)
          & subactivity_occurrence(X33,X34)
          & root(X33,X35) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).

fof(sos_49,axiom,
    ! [X118,X119,X120,X121] :
      ( ( tptp1(X118,X119,X120)
        & occurrence_of(X121,X118) )
     => ? [X122,X123,X124,X125] :
          ( send_message(X122,X123,X124,X120,X119)
          & occurrence_of(X125,X122)
          & root_occ(X125,X121) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).

fof(sos_02,axiom,
    ! [X8,X9,X10,X11] :
      ( ( occurrence_of(X10,X11)
        & root_occ(X8,X10)
        & root_occ(X9,X10) )
     => X8 = X9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).

fof(sos_47,axiom,
    ! [X109,X110,X111,X112,X113,X114] :
      ( ( send_message(X109,X110,X111,X112,X113)
        & occurrence_of(X114,X109) )
     => min_precedes(X112,X114,X113) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).

fof(sos_24,axiom,
    ! [X71,X72,X73] :
      ( min_precedes(X72,X73,X71)
     => ? [X74] :
          ( occurrence_of(X74,X71)
          & subactivity_occurrence(X72,X74)
          & subactivity_occurrence(X73,X74) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).

fof(sos_32,axiom,
    ! [X96] :
      ( occurrence_of(X96,tptp0)
     => ? [X97,X98] :
          ( occurrence_of(X97,tptp4)
          & root_occ(X97,X96)
          & ( occurrence_of(X98,tptp3)
            | occurrence_of(X98,tptp2) )
          & leaf_occ(X98,X96)
          & next_subocc(X97,X98,tptp0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

fof(sos_12,axiom,
    ! [X39,X40] :
      ( root(X39,X40)
     => legal(X39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).

fof(sos_11,axiom,
    ! [X36,X37] :
      ( leaf_occ(X36,X37)
    <=> ? [X38] :
          ( occurrence_of(X37,X38)
          & subactivity_occurrence(X36,X37)
          & leaf(X36,X38) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).

fof(sos_17,axiom,
    ! [X52] :
      ( legal(X52)
     => arboreal(X52) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).

fof(sos_19,axiom,
    ! [X55,X56] :
      ( subactivity_occurrence(X55,X56)
     => ( activity_occurrence(X55)
        & activity_occurrence(X56) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).

fof(sos_28,axiom,
    ! [X86,X87,X88,X89] :
      ( ( occurrence_of(X87,X86)
        & arboreal(X88)
        & arboreal(X89)
        & subactivity_occurrence(X88,X87)
        & subactivity_occurrence(X89,X87) )
     => ( min_precedes(X88,X89,X86)
        | min_precedes(X89,X88,X86)
        | X88 = X89 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).

fof(sos_05,axiom,
    ! [X20,X21,X22] :
      ( next_subocc(X20,X21,X22)
     => ( arboreal(X20)
        & arboreal(X21) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).

fof(sos_04,axiom,
    ! [X16,X17,X18] :
      ( next_subocc(X16,X17,X18)
    <=> ( min_precedes(X16,X17,X18)
        & ~ ? [X19] :
              ( min_precedes(X16,X19,X18)
              & min_precedes(X19,X17,X18) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).

fof(sos_18,axiom,
    ! [X53] :
      ( activity_occurrence(X53)
     => ? [X54] :
          ( activity(X54)
          & occurrence_of(X53,X54) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).

fof(sos_22,axiom,
    ! [X65,X66,X67] :
      ( ( occurrence_of(X65,X66)
        & occurrence_of(X65,X67) )
     => X66 = X67 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).

fof(sos_46,axiom,
    ! [X104,X105,X106,X107,X108] :
      ( send_message(X104,X105,X106,X107,X108)
     => ( X104 != tptp4
        & X104 != tptp3
        & X104 != tptp2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).

fof(sos_14,axiom,
    ! [X43,X44] :
      ( leaf(X43,X44)
    <=> ( ( root(X43,X44)
          | ? [X45] : min_precedes(X45,X43,X44) )
        & ~ ? [X46] : min_precedes(X43,X46,X44) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).

fof(c_0_20,plain,
    ! [X115,X116,X117] :
      ( tptp1(X115,X116,X117)
     => ( activity(X115)
        & ~ atomic(X115)
        & ~ atomic(X116)
        & root(X117,X116) ) ),
    inference(fof_simplification,[status(thm)],[sos_48]) ).

fof(c_0_21,negated_conjecture,
    ~ ~ ? [X128,X129,X130] :
          ( tptp1(X128,tptp0,X129)
          & occurrence_of(X130,X128) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_22,plain,
    ! [X92,X93] :
      ( ( occurrence_of(X93,X92)
        & ~ atomic(X92) )
     => ? [X94] :
          ( root(X94,X92)
          & subactivity_occurrence(X94,X93) ) ),
    inference(fof_simplification,[status(thm)],[sos_30]) ).

fof(c_0_23,plain,
    ! [X262,X263,X264] :
      ( ( activity(X262)
        | ~ tptp1(X262,X263,X264) )
      & ( ~ atomic(X262)
        | ~ tptp1(X262,X263,X264) )
      & ( ~ atomic(X263)
        | ~ tptp1(X262,X263,X264) )
      & ( root(X264,X263)
        | ~ tptp1(X262,X263,X264) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).

fof(c_0_24,negated_conjecture,
    ( tptp1(esk21_0,tptp0,esk22_0)
    & occurrence_of(esk23_0,esk21_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).

fof(c_0_25,plain,
    ! [X239,X240] :
      ( ( root(esk14_2(X239,X240),X239)
        | ~ occurrence_of(X240,X239)
        | atomic(X239) )
      & ( subactivity_occurrence(esk14_2(X239,X240),X240)
        | ~ occurrence_of(X240,X239)
        | atomic(X239) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).

cnf(c_0_26,plain,
    ( ~ atomic(X1)
    | ~ tptp1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    tptp1(esk21_0,tptp0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_28,plain,
    ! [X167,X168,X170,X171,X172] :
      ( ( occurrence_of(X168,esk2_2(X167,X168))
        | ~ root_occ(X167,X168) )
      & ( subactivity_occurrence(X167,X168)
        | ~ root_occ(X167,X168) )
      & ( root(X167,esk2_2(X167,X168))
        | ~ root_occ(X167,X168) )
      & ( ~ occurrence_of(X171,X172)
        | ~ subactivity_occurrence(X170,X171)
        | ~ root(X170,X172)
        | root_occ(X170,X171) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])])])])]) ).

cnf(c_0_29,plain,
    ( subactivity_occurrence(esk14_2(X1,X2),X2)
    | atomic(X1)
    | ~ occurrence_of(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    occurrence_of(esk23_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_31,negated_conjecture,
    ~ atomic(esk21_0),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    ( root_occ(X3,X1)
    | ~ occurrence_of(X1,X2)
    | ~ subactivity_occurrence(X3,X1)
    | ~ root(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    subactivity_occurrence(esk14_2(esk21_0,esk23_0),esk23_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_34,plain,
    ( root(esk14_2(X1,X2),X1)
    | atomic(X1)
    | ~ occurrence_of(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_35,plain,
    ! [X265,X266,X267,X268] :
      ( ( send_message(esk17_4(X265,X266,X267,X268),esk18_4(X265,X266,X267,X268),esk19_4(X265,X266,X267,X268),X267,X266)
        | ~ tptp1(X265,X266,X267)
        | ~ occurrence_of(X268,X265) )
      & ( occurrence_of(esk20_4(X265,X266,X267,X268),esk17_4(X265,X266,X267,X268))
        | ~ tptp1(X265,X266,X267)
        | ~ occurrence_of(X268,X265) )
      & ( root_occ(esk20_4(X265,X266,X267,X268),X268)
        | ~ tptp1(X265,X266,X267)
        | ~ occurrence_of(X268,X265) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])]) ).

fof(c_0_36,plain,
    ! [X138,X139,X140,X141] :
      ( ~ occurrence_of(X140,X141)
      | ~ root_occ(X138,X140)
      | ~ root_occ(X139,X140)
      | X138 = X139 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).

cnf(c_0_37,negated_conjecture,
    ( root_occ(esk14_2(esk21_0,esk23_0),esk23_0)
    | ~ root(esk14_2(esk21_0,esk23_0),X1)
    | ~ occurrence_of(esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    root(esk14_2(esk21_0,esk23_0),esk21_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_31]) ).

cnf(c_0_39,plain,
    ( root_occ(esk20_4(X1,X2,X3,X4),X4)
    | ~ tptp1(X1,X2,X3)
    | ~ occurrence_of(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,plain,
    ( X3 = X4
    | ~ occurrence_of(X1,X2)
    | ~ root_occ(X3,X1)
    | ~ root_occ(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    root_occ(esk14_2(esk21_0,esk23_0),esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_30]),c_0_38])]) ).

cnf(c_0_42,negated_conjecture,
    ( root_occ(esk20_4(esk21_0,tptp0,esk22_0,X1),X1)
    | ~ occurrence_of(X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_27]) ).

cnf(c_0_43,plain,
    ( send_message(esk17_4(X1,X2,X3,X4),esk18_4(X1,X2,X3,X4),esk19_4(X1,X2,X3,X4),X3,X2)
    | ~ tptp1(X1,X2,X3)
    | ~ occurrence_of(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_44,negated_conjecture,
    ( X1 = esk14_2(esk21_0,esk23_0)
    | ~ root_occ(X1,esk23_0)
    | ~ occurrence_of(esk23_0,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    root_occ(esk20_4(esk21_0,tptp0,esk22_0,esk23_0),esk23_0),
    inference(spm,[status(thm)],[c_0_42,c_0_30]) ).

fof(c_0_46,plain,
    ! [X256,X257,X258,X259,X260,X261] :
      ( ~ send_message(X256,X257,X258,X259,X260)
      | ~ occurrence_of(X261,X256)
      | min_precedes(X259,X261,X260) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_47])]) ).

cnf(c_0_47,negated_conjecture,
    ( send_message(esk17_4(esk21_0,tptp0,esk22_0,X1),esk18_4(esk21_0,tptp0,esk22_0,X1),esk19_4(esk21_0,tptp0,esk22_0,X1),esk22_0,tptp0)
    | ~ occurrence_of(X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_27]) ).

cnf(c_0_48,plain,
    ( occurrence_of(esk20_4(X1,X2,X3,X4),esk17_4(X1,X2,X3,X4))
    | ~ tptp1(X1,X2,X3)
    | ~ occurrence_of(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_49,negated_conjecture,
    ( esk20_4(esk21_0,tptp0,esk22_0,esk23_0) = esk14_2(esk21_0,esk23_0)
    | ~ occurrence_of(esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,plain,
    ( min_precedes(X4,X6,X5)
    | ~ send_message(X1,X2,X3,X4,X5)
    | ~ occurrence_of(X6,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    send_message(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0),
    inference(spm,[status(thm)],[c_0_47,c_0_30]) ).

cnf(c_0_52,negated_conjecture,
    ( occurrence_of(esk20_4(esk21_0,tptp0,esk22_0,X1),esk17_4(esk21_0,tptp0,esk22_0,X1))
    | ~ occurrence_of(X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_27]) ).

cnf(c_0_53,negated_conjecture,
    esk20_4(esk21_0,tptp0,esk22_0,esk23_0) = esk14_2(esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_49,c_0_30]) ).

fof(c_0_54,plain,
    ! [X218,X219,X220] :
      ( ( occurrence_of(esk9_3(X218,X219,X220),X218)
        | ~ min_precedes(X219,X220,X218) )
      & ( subactivity_occurrence(X219,esk9_3(X218,X219,X220))
        | ~ min_precedes(X219,X220,X218) )
      & ( subactivity_occurrence(X220,esk9_3(X218,X219,X220))
        | ~ min_precedes(X219,X220,X218) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])])]) ).

cnf(c_0_55,negated_conjecture,
    ( min_precedes(esk22_0,X1,tptp0)
    | ~ occurrence_of(X1,esk17_4(esk21_0,tptp0,esk22_0,esk23_0)) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    occurrence_of(esk14_2(esk21_0,esk23_0),esk17_4(esk21_0,tptp0,esk22_0,esk23_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_30]),c_0_53]) ).

cnf(c_0_57,plain,
    ( subactivity_occurrence(X1,esk9_3(X2,X1,X3))
    | ~ min_precedes(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_58,negated_conjecture,
    min_precedes(esk22_0,esk14_2(esk21_0,esk23_0),tptp0),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_59,negated_conjecture,
    subactivity_occurrence(esk22_0,esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_60,plain,
    ( root(X1,X2)
    | ~ tptp1(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_61,plain,
    ( occurrence_of(esk9_3(X1,X2,X3),X1)
    | ~ min_precedes(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_62,negated_conjecture,
    ( root_occ(esk22_0,esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))
    | ~ root(esk22_0,X1)
    | ~ occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_59]) ).

cnf(c_0_63,negated_conjecture,
    root(esk22_0,tptp0),
    inference(spm,[status(thm)],[c_0_60,c_0_27]) ).

cnf(c_0_64,negated_conjecture,
    occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),tptp0),
    inference(spm,[status(thm)],[c_0_61,c_0_58]) ).

fof(c_0_65,plain,
    ! [X243] :
      ( ( occurrence_of(esk15_1(X243),tptp4)
        | ~ occurrence_of(X243,tptp0) )
      & ( root_occ(esk15_1(X243),X243)
        | ~ occurrence_of(X243,tptp0) )
      & ( occurrence_of(esk16_1(X243),tptp3)
        | occurrence_of(esk16_1(X243),tptp2)
        | ~ occurrence_of(X243,tptp0) )
      & ( leaf_occ(esk16_1(X243),X243)
        | ~ occurrence_of(X243,tptp0) )
      & ( next_subocc(esk15_1(X243),esk16_1(X243),tptp0)
        | ~ occurrence_of(X243,tptp0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])]) ).

cnf(c_0_66,negated_conjecture,
    root_occ(esk22_0,esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).

cnf(c_0_67,plain,
    ( root_occ(esk15_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

fof(c_0_68,plain,
    ! [X179,X180] :
      ( ~ root(X179,X180)
      | legal(X179) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])]) ).

cnf(c_0_69,negated_conjecture,
    ( X1 = esk22_0
    | ~ root_occ(X1,esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))
    | ~ occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_66]) ).

cnf(c_0_70,negated_conjecture,
    root_occ(esk15_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
    inference(spm,[status(thm)],[c_0_67,c_0_64]) ).

fof(c_0_71,plain,
    ! [X173,X174,X176,X177,X178] :
      ( ( occurrence_of(X174,esk3_2(X173,X174))
        | ~ leaf_occ(X173,X174) )
      & ( subactivity_occurrence(X173,X174)
        | ~ leaf_occ(X173,X174) )
      & ( leaf(X173,esk3_2(X173,X174))
        | ~ leaf_occ(X173,X174) )
      & ( ~ occurrence_of(X177,X178)
        | ~ subactivity_occurrence(X176,X177)
        | ~ leaf(X176,X178)
        | leaf_occ(X176,X177) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])])])]) ).

cnf(c_0_72,plain,
    ( leaf_occ(esk16_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

fof(c_0_73,plain,
    ! [X199] :
      ( ~ legal(X199)
      | arboreal(X199) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_17])]) ).

cnf(c_0_74,plain,
    ( legal(X1)
    | ~ root(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_75,negated_conjecture,
    ( esk15_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = esk22_0
    | ~ occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

fof(c_0_76,plain,
    ! [X202,X203] :
      ( ( activity_occurrence(X202)
        | ~ subactivity_occurrence(X202,X203) )
      & ( activity_occurrence(X203)
        | ~ subactivity_occurrence(X202,X203) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_19])])]) ).

cnf(c_0_77,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_78,negated_conjecture,
    leaf_occ(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
    inference(spm,[status(thm)],[c_0_72,c_0_64]) ).

fof(c_0_79,plain,
    ! [X233,X234,X235,X236] :
      ( ~ occurrence_of(X234,X233)
      | ~ arboreal(X235)
      | ~ arboreal(X236)
      | ~ subactivity_occurrence(X235,X234)
      | ~ subactivity_occurrence(X236,X234)
      | min_precedes(X235,X236,X233)
      | min_precedes(X236,X235,X233)
      | X235 = X236 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])]) ).

cnf(c_0_80,plain,
    ( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
    | ~ min_precedes(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_81,plain,
    ( arboreal(X1)
    | ~ legal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_82,negated_conjecture,
    legal(esk14_2(esk21_0,esk23_0)),
    inference(spm,[status(thm)],[c_0_74,c_0_38]) ).

fof(c_0_83,plain,
    ! [X154,X155,X156] :
      ( ( arboreal(X154)
        | ~ next_subocc(X154,X155,X156) )
      & ( arboreal(X155)
        | ~ next_subocc(X154,X155,X156) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])])]) ).

cnf(c_0_84,plain,
    ( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_85,negated_conjecture,
    esk15_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = esk22_0,
    inference(spm,[status(thm)],[c_0_75,c_0_64]) ).

fof(c_0_86,plain,
    ! [X146,X147,X148,X149,X150,X151,X152] :
      ( ( min_precedes(X146,X147,X148)
        | ~ next_subocc(X146,X147,X148) )
      & ( ~ min_precedes(X146,X149,X148)
        | ~ min_precedes(X149,X147,X148)
        | ~ next_subocc(X146,X147,X148) )
      & ( min_precedes(X150,esk1_3(X150,X151,X152),X152)
        | ~ min_precedes(X150,X151,X152)
        | next_subocc(X150,X151,X152) )
      & ( min_precedes(esk1_3(X150,X151,X152),X151,X152)
        | ~ min_precedes(X150,X151,X152)
        | next_subocc(X150,X151,X152) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_04])])])])])]) ).

fof(c_0_87,plain,
    ! [X200] :
      ( ( activity(esk7_1(X200))
        | ~ activity_occurrence(X200) )
      & ( occurrence_of(X200,esk7_1(X200))
        | ~ activity_occurrence(X200) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])])])]) ).

cnf(c_0_88,plain,
    ( activity_occurrence(X1)
    | ~ subactivity_occurrence(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

fof(c_0_89,plain,
    ! [X212,X213,X214] :
      ( ~ occurrence_of(X212,X213)
      | ~ occurrence_of(X212,X214)
      | X213 = X214 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])]) ).

cnf(c_0_90,plain,
    ( occurrence_of(esk16_1(X1),tptp3)
    | occurrence_of(esk16_1(X1),tptp2)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_91,negated_conjecture,
    subactivity_occurrence(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_92,plain,
    ( min_precedes(X3,X4,X2)
    | min_precedes(X4,X3,X2)
    | X3 = X4
    | ~ occurrence_of(X1,X2)
    | ~ arboreal(X3)
    | ~ arboreal(X4)
    | ~ subactivity_occurrence(X3,X1)
    | ~ subactivity_occurrence(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_93,negated_conjecture,
    subactivity_occurrence(esk14_2(esk21_0,esk23_0),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
    inference(spm,[status(thm)],[c_0_80,c_0_58]) ).

cnf(c_0_94,negated_conjecture,
    arboreal(esk14_2(esk21_0,esk23_0)),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_95,plain,
    ( arboreal(X1)
    | ~ next_subocc(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_96,negated_conjecture,
    next_subocc(esk22_0,esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_64]),c_0_85]) ).

cnf(c_0_97,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ min_precedes(X2,X4,X3)
    | ~ next_subocc(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_98,plain,
    ( occurrence_of(X1,esk7_1(X1))
    | ~ activity_occurrence(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_99,negated_conjecture,
    activity_occurrence(esk14_2(esk21_0,esk23_0)),
    inference(spm,[status(thm)],[c_0_88,c_0_33]) ).

cnf(c_0_100,plain,
    ( X2 = X3
    | ~ occurrence_of(X1,X2)
    | ~ occurrence_of(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_101,negated_conjecture,
    ( occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp2)
    | occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp3) ),
    inference(spm,[status(thm)],[c_0_90,c_0_64]) ).

cnf(c_0_102,negated_conjecture,
    activity_occurrence(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))),
    inference(spm,[status(thm)],[c_0_88,c_0_91]) ).

cnf(c_0_103,negated_conjecture,
    ( X1 = esk14_2(esk21_0,esk23_0)
    | min_precedes(X1,esk14_2(esk21_0,esk23_0),X2)
    | min_precedes(esk14_2(esk21_0,esk23_0),X1,X2)
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))
    | ~ arboreal(X1)
    | ~ occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).

cnf(c_0_104,negated_conjecture,
    arboreal(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ min_precedes(X1,esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp0)
    | ~ min_precedes(esk22_0,X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_97,c_0_96]) ).

cnf(c_0_106,negated_conjecture,
    occurrence_of(esk14_2(esk21_0,esk23_0),esk7_1(esk14_2(esk21_0,esk23_0))),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_107,negated_conjecture,
    ( X1 = tptp2
    | occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp3)
    | ~ occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_108,negated_conjecture,
    occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk7_1(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))))),
    inference(spm,[status(thm)],[c_0_98,c_0_102]) ).

cnf(c_0_109,negated_conjecture,
    ( esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = esk14_2(esk21_0,esk23_0)
    | min_precedes(esk14_2(esk21_0,esk23_0),esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),X1)
    | min_precedes(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk14_2(esk21_0,esk23_0),X1)
    | ~ occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_91]),c_0_104])]) ).

cnf(c_0_110,negated_conjecture,
    ~ min_precedes(esk14_2(esk21_0,esk23_0),esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp0),
    inference(spm,[status(thm)],[c_0_105,c_0_58]) ).

cnf(c_0_111,negated_conjecture,
    ( X1 = esk7_1(esk14_2(esk21_0,esk23_0))
    | ~ occurrence_of(esk14_2(esk21_0,esk23_0),X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_106]) ).

fof(c_0_112,plain,
    ! [X251,X252,X253,X254,X255] :
      ( ( X251 != tptp4
        | ~ send_message(X251,X252,X253,X254,X255) )
      & ( X251 != tptp3
        | ~ send_message(X251,X252,X253,X254,X255) )
      & ( X251 != tptp2
        | ~ send_message(X251,X252,X253,X254,X255) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_46])])]) ).

cnf(c_0_113,plain,
    ( occurrence_of(X1,esk3_2(X2,X1))
    | ~ leaf_occ(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_114,negated_conjecture,
    ( esk7_1(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))) = tptp2
    | occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp3) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_115,negated_conjecture,
    ( esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = esk14_2(esk21_0,esk23_0)
    | min_precedes(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk14_2(esk21_0,esk23_0),tptp0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_64]),c_0_110]) ).

cnf(c_0_116,negated_conjecture,
    esk7_1(esk14_2(esk21_0,esk23_0)) = esk17_4(esk21_0,tptp0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_111,c_0_56]) ).

cnf(c_0_117,plain,
    ( X1 != tptp2
    | ~ send_message(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_118,plain,
    ( leaf(X1,esk3_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_119,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_64]) ).

cnf(c_0_120,negated_conjecture,
    occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),esk3_2(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))),
    inference(spm,[status(thm)],[c_0_113,c_0_78]) ).

fof(c_0_121,plain,
    ! [X183,X184,X186,X187,X188,X189] :
      ( ( root(X183,X184)
        | min_precedes(esk4_2(X183,X184),X183,X184)
        | ~ leaf(X183,X184) )
      & ( ~ min_precedes(X183,X186,X184)
        | ~ leaf(X183,X184) )
      & ( ~ root(X187,X188)
        | min_precedes(X187,esk5_2(X187,X188),X188)
        | leaf(X187,X188) )
      & ( ~ min_precedes(X189,X187,X188)
        | min_precedes(X187,esk5_2(X187,X188),X188)
        | leaf(X187,X188) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_14])])])])])]) ).

cnf(c_0_122,negated_conjecture,
    ( esk17_4(esk21_0,tptp0,esk22_0,esk23_0) = tptp2
    | occurrence_of(esk14_2(esk21_0,esk23_0),tptp3)
    | min_precedes(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk14_2(esk21_0,esk23_0),tptp0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).

cnf(c_0_123,plain,
    ~ send_message(tptp2,X1,X2,X3,X4),
    inference(er,[status(thm)],[c_0_117]) ).

cnf(c_0_124,negated_conjecture,
    leaf(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk3_2(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))),
    inference(spm,[status(thm)],[c_0_118,c_0_78]) ).

cnf(c_0_125,negated_conjecture,
    esk3_2(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = tptp0,
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_126,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ leaf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_127,negated_conjecture,
    ( occurrence_of(esk14_2(esk21_0,esk23_0),tptp3)
    | min_precedes(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk14_2(esk21_0,esk23_0),tptp0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_122]),c_0_123]) ).

cnf(c_0_128,negated_conjecture,
    leaf(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp0),
    inference(rw,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_129,negated_conjecture,
    ( X1 = esk17_4(esk21_0,tptp0,esk22_0,esk23_0)
    | ~ occurrence_of(esk14_2(esk21_0,esk23_0),X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_56]) ).

cnf(c_0_130,negated_conjecture,
    occurrence_of(esk14_2(esk21_0,esk23_0),tptp3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128])]) ).

cnf(c_0_131,plain,
    ( X1 != tptp3
    | ~ send_message(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_132,negated_conjecture,
    esk17_4(esk21_0,tptp0,esk22_0,esk23_0) = tptp3,
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_133,plain,
    ~ send_message(tptp3,X1,X2,X3,X4),
    inference(er,[status(thm)],[c_0_131]) ).

cnf(c_0_134,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_132]),c_0_133]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : PRO002+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 19:30:58 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.21/0.55  start to proof: theBenchmark
% 0.96/1.05  % Version  : CSE_E---1.5
% 0.96/1.05  % Problem  : theBenchmark.p
% 0.96/1.05  % Proof found
% 0.96/1.05  % SZS status Theorem for theBenchmark.p
% 0.96/1.05  % SZS output start Proof
% See solution above
% 0.96/1.06  % Total time : 0.487000 s
% 0.96/1.06  % SZS output end Proof
% 0.96/1.06  % Total time : 0.491000 s
%------------------------------------------------------------------------------