TSTP Solution File: PRO002+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : PRO002+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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  : 600s
% DateTime : Mon Jul 18 17:44:51 EDT 2022

% Result   : Theorem 0.70s 74.88s
% Output   : CNFRefutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  142 (  44 unt;   0 def)
%            Number of atoms       :  395 (  40 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  417 ( 164   ~; 165   |;  68   &)
%                                         (   4 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-5 aty)
%            Number of functors    :   21 (  21 usr;   7 con; 0-4 aty)
%            Number of variables   :  262 (  41 sgn 124   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ~ ? [X128,X129,X130] :
        ( tptp1(X128,tptp0,X129)
        & occurrence_of(X130,X128) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals) ).

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

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

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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_49) ).

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

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

fof(sos_29,axiom,
    ! [X90,X91] :
      ( occurrence_of(X91,X90)
     => ( activity(X90)
        & activity_occurrence(X91) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_29) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_10) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_02) ).

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

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/sandbox/solver/bin/../tmp/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/sandbox/solver/bin/../tmp/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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_32) ).

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

fof(sos_17,axiom,
    ! [X52] :
      ( legal(X52)
     => arboreal(X52) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_17) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_28) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_11) ).

fof(sos_05,axiom,
    ! [X20,X21,X22] :
      ( next_subocc(X20,X21,X22)
     => ( arboreal(X20)
        & arboreal(X21) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_04) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_14) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',sos_46) ).

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,
    ! [X118,X119,X120] :
      ( ( activity(X118)
        | ~ tptp1(X118,X119,X120) )
      & ( ~ atomic(X118)
        | ~ tptp1(X118,X119,X120) )
      & ( ~ atomic(X119)
        | ~ tptp1(X118,X119,X120) )
      & ( root(X120,X119)
        | ~ tptp1(X118,X119,X120) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_48])])])]) ).

fof(c_0_23,negated_conjecture,
    ( tptp1(esk21_0,tptp0,esk22_0)
    & occurrence_of(esk23_0,esk21_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).

fof(c_0_24,plain,
    ! [X68,X69,X70] :
      ( ~ occurrence_of(X68,X69)
      | ~ occurrence_of(X68,X70)
      | X69 = X70 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])]) ).

fof(c_0_25,plain,
    ! [X126,X127,X128,X129] :
      ( ( send_message(esk17_4(X126,X127,X128,X129),esk18_4(X126,X127,X128,X129),esk19_4(X126,X127,X128,X129),X128,X127)
        | ~ tptp1(X126,X127,X128)
        | ~ occurrence_of(X129,X126) )
      & ( occurrence_of(esk20_4(X126,X127,X128,X129),esk17_4(X126,X127,X128,X129))
        | ~ tptp1(X126,X127,X128)
        | ~ occurrence_of(X129,X126) )
      & ( root_occ(esk20_4(X126,X127,X128,X129),X129)
        | ~ tptp1(X126,X127,X128)
        | ~ occurrence_of(X129,X126) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])])])]) ).

fof(c_0_26,plain,
    ! [X95,X96] :
      ( ( root(esk14_2(X95,X96),X95)
        | ~ occurrence_of(X96,X95)
        | atomic(X95) )
      & ( subactivity_occurrence(esk14_2(X95,X96),X96)
        | ~ occurrence_of(X96,X95)
        | atomic(X95) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_30])])])])])])]) ).

cnf(c_0_27,plain,
    ( ~ tptp1(X1,X2,X3)
    | ~ atomic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,negated_conjecture,
    tptp1(esk21_0,tptp0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    occurrence_of(esk23_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_31,plain,
    ! [X55] :
      ( ( activity(esk7_1(X55))
        | ~ activity_occurrence(X55) )
      & ( occurrence_of(X55,esk7_1(X55))
        | ~ activity_occurrence(X55) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])])])])])]) ).

fof(c_0_32,plain,
    ! [X92,X93] :
      ( ( activity(X92)
        | ~ occurrence_of(X93,X92) )
      & ( activity_occurrence(X93)
        | ~ occurrence_of(X93,X92) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).

cnf(c_0_33,plain,
    ( root_occ(esk20_4(X2,X3,X4,X1),X1)
    | ~ occurrence_of(X1,X2)
    | ~ tptp1(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_34,plain,
    ! [X36,X37,X36,X37,X39] :
      ( ( occurrence_of(X37,esk2_2(X36,X37))
        | ~ root_occ(X36,X37) )
      & ( subactivity_occurrence(X36,X37)
        | ~ root_occ(X36,X37) )
      & ( root(X36,esk2_2(X36,X37))
        | ~ root_occ(X36,X37) )
      & ( ~ occurrence_of(X37,X39)
        | ~ subactivity_occurrence(X36,X37)
        | ~ root(X36,X39)
        | root_occ(X36,X37) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])])])])])]) ).

cnf(c_0_35,plain,
    ( atomic(X1)
    | subactivity_occurrence(esk14_2(X1,X2),X2)
    | ~ occurrence_of(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_36,negated_conjecture,
    ~ atomic(esk21_0),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_37,negated_conjecture,
    ( X1 = esk21_0
    | ~ occurrence_of(esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_38,plain,
    ( occurrence_of(X1,esk7_1(X1))
    | ~ activity_occurrence(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,negated_conjecture,
    ( root_occ(esk20_4(esk21_0,tptp0,esk22_0,X1),X1)
    | ~ occurrence_of(X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_28]) ).

fof(c_0_41,plain,
    ! [X12,X13,X14,X15] :
      ( ~ occurrence_of(X14,X15)
      | ~ root_occ(X12,X14)
      | ~ root_occ(X13,X14)
      | X12 = X13 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])])]) ).

cnf(c_0_42,plain,
    ( root_occ(X1,X2)
    | ~ root(X1,X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_43,negated_conjecture,
    subactivity_occurrence(esk14_2(esk21_0,esk23_0),esk23_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_30]),c_0_36]) ).

cnf(c_0_44,negated_conjecture,
    ( esk7_1(esk23_0) = esk21_0
    | ~ activity_occurrence(esk23_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_45,negated_conjecture,
    activity_occurrence(esk23_0),
    inference(spm,[status(thm)],[c_0_39,c_0_30]) ).

cnf(c_0_46,plain,
    ( atomic(X1)
    | root(esk14_2(X1,X2),X1)
    | ~ occurrence_of(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_47,plain,
    ( occurrence_of(esk20_4(X2,X3,X4,X1),esk17_4(X2,X3,X4,X1))
    | ~ occurrence_of(X1,X2)
    | ~ tptp1(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_48,plain,
    ! [X57,X58] :
      ( ( activity_occurrence(X57)
        | ~ subactivity_occurrence(X57,X58) )
      & ( activity_occurrence(X58)
        | ~ subactivity_occurrence(X57,X58) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_19])])]) ).

cnf(c_0_49,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_50,negated_conjecture,
    root_occ(esk20_4(esk21_0,tptp0,esk22_0,esk23_0),esk23_0),
    inference(spm,[status(thm)],[c_0_40,c_0_30]) ).

cnf(c_0_51,plain,
    ( X1 = X2
    | ~ root_occ(X2,X3)
    | ~ root_occ(X1,X3)
    | ~ occurrence_of(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_52,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_42,c_0_43]) ).

cnf(c_0_53,negated_conjecture,
    esk7_1(esk23_0) = esk21_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).

cnf(c_0_54,negated_conjecture,
    root(esk14_2(esk21_0,esk23_0),esk21_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_30]),c_0_36]) ).

cnf(c_0_55,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_47,c_0_28]) ).

cnf(c_0_56,plain,
    ( activity_occurrence(X1)
    | ~ subactivity_occurrence(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_57,negated_conjecture,
    subactivity_occurrence(esk20_4(esk21_0,tptp0,esk22_0,esk23_0),esk23_0),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_58,negated_conjecture,
    ( X1 = esk20_4(esk21_0,tptp0,esk22_0,esk23_0)
    | ~ root_occ(X1,esk23_0)
    | ~ occurrence_of(esk23_0,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_50]) ).

cnf(c_0_59,negated_conjecture,
    root_occ(esk14_2(esk21_0,esk23_0),esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_38]),c_0_53]),c_0_54]),c_0_45])]) ).

cnf(c_0_60,plain,
    ( send_message(esk17_4(X2,X3,X4,X1),esk18_4(X2,X3,X4,X1),esk19_4(X2,X3,X4,X1),X4,X3)
    | ~ occurrence_of(X1,X2)
    | ~ tptp1(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_61,plain,
    ( X1 = esk7_1(X2)
    | ~ activity_occurrence(X2)
    | ~ occurrence_of(X2,X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_38]) ).

cnf(c_0_62,negated_conjecture,
    occurrence_of(esk20_4(esk21_0,tptp0,esk22_0,esk23_0),esk17_4(esk21_0,tptp0,esk22_0,esk23_0)),
    inference(spm,[status(thm)],[c_0_55,c_0_30]) ).

cnf(c_0_63,negated_conjecture,
    activity_occurrence(esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_64,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_58,c_0_59]) ).

fof(c_0_65,plain,
    ! [X115,X116,X117,X118,X119,X120] :
      ( ~ send_message(X115,X116,X117,X118,X119)
      | ~ occurrence_of(X120,X115)
      | min_precedes(X118,X120,X119) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_47])]) ).

cnf(c_0_66,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_60,c_0_28]) ).

cnf(c_0_67,negated_conjecture,
    esk17_4(esk21_0,tptp0,esk22_0,esk23_0) = esk7_1(esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).

cnf(c_0_68,negated_conjecture,
    esk20_4(esk21_0,tptp0,esk22_0,esk23_0) = esk14_2(esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_38]),c_0_45])]) ).

cnf(c_0_69,plain,
    ( min_precedes(X1,X2,X3)
    | ~ occurrence_of(X2,X4)
    | ~ send_message(X4,X5,X6,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_70,negated_conjecture,
    send_message(esk7_1(esk14_2(esk21_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_30]),c_0_67]),c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    occurrence_of(esk20_4(esk21_0,tptp0,esk22_0,esk23_0),esk7_1(esk20_4(esk21_0,tptp0,esk22_0,esk23_0))),
    inference(rw,[status(thm)],[c_0_62,c_0_67]) ).

fof(c_0_72,plain,
    ! [X75,X76,X77] :
      ( ( occurrence_of(esk9_3(X75,X76,X77),X75)
        | ~ min_precedes(X76,X77,X75) )
      & ( subactivity_occurrence(X76,esk9_3(X75,X76,X77))
        | ~ min_precedes(X76,X77,X75) )
      & ( subactivity_occurrence(X77,esk9_3(X75,X76,X77))
        | ~ min_precedes(X76,X77,X75) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])])])])]) ).

cnf(c_0_73,negated_conjecture,
    ( min_precedes(esk22_0,X1,tptp0)
    | ~ occurrence_of(X1,esk7_1(esk14_2(esk21_0,esk23_0))) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_74,negated_conjecture,
    occurrence_of(esk14_2(esk21_0,esk23_0),esk7_1(esk14_2(esk21_0,esk23_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_68]),c_0_68]) ).

cnf(c_0_75,plain,
    ( subactivity_occurrence(X1,esk9_3(X3,X1,X2))
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_76,negated_conjecture,
    min_precedes(esk22_0,esk14_2(esk21_0,esk23_0),tptp0),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_77,negated_conjecture,
    subactivity_occurrence(esk22_0,esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_78,plain,
    ( root(X3,X2)
    | ~ tptp1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_79,plain,
    ( occurrence_of(esk9_3(X3,X1,X2),X3)
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_80,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_42,c_0_77]) ).

cnf(c_0_81,negated_conjecture,
    root(esk22_0,tptp0),
    inference(spm,[status(thm)],[c_0_78,c_0_28]) ).

cnf(c_0_82,negated_conjecture,
    occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),tptp0),
    inference(spm,[status(thm)],[c_0_79,c_0_76]) ).

fof(c_0_83,plain,
    ! [X99] :
      ( ( occurrence_of(esk15_1(X99),tptp4)
        | ~ occurrence_of(X99,tptp0) )
      & ( root_occ(esk15_1(X99),X99)
        | ~ occurrence_of(X99,tptp0) )
      & ( occurrence_of(esk16_1(X99),tptp3)
        | occurrence_of(esk16_1(X99),tptp2)
        | ~ occurrence_of(X99,tptp0) )
      & ( leaf_occ(esk16_1(X99),X99)
        | ~ occurrence_of(X99,tptp0) )
      & ( next_subocc(esk15_1(X99),esk16_1(X99),tptp0)
        | ~ occurrence_of(X99,tptp0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])])])]) ).

cnf(c_0_84,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_80,c_0_81]),c_0_82])]) ).

cnf(c_0_85,plain,
    ( root_occ(esk15_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

fof(c_0_86,plain,
    ! [X41,X42] :
      ( ~ root(X41,X42)
      | legal(X41) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])]) ).

cnf(c_0_87,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_51,c_0_84]) ).

cnf(c_0_88,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_85,c_0_82]) ).

fof(c_0_89,plain,
    ! [X53] :
      ( ~ legal(X53)
      | arboreal(X53) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_17])]) ).

cnf(c_0_90,plain,
    ( legal(X1)
    | ~ root(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_91,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_87,c_0_88]) ).

cnf(c_0_92,negated_conjecture,
    activity_occurrence(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
    inference(spm,[status(thm)],[c_0_39,c_0_82]) ).

cnf(c_0_93,plain,
    ( occurrence_of(esk16_1(X1),tptp2)
    | occurrence_of(esk16_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

fof(c_0_94,plain,
    ! [X90,X91,X92,X93] :
      ( ~ occurrence_of(X91,X90)
      | ~ arboreal(X92)
      | ~ arboreal(X93)
      | ~ subactivity_occurrence(X92,X91)
      | ~ subactivity_occurrence(X93,X91)
      | min_precedes(X92,X93,X90)
      | min_precedes(X93,X92,X90)
      | X92 = X93 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])]) ).

cnf(c_0_95,plain,
    ( subactivity_occurrence(X2,esk9_3(X3,X1,X2))
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_96,plain,
    ( arboreal(X1)
    | ~ legal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_97,negated_conjecture,
    legal(esk14_2(esk21_0,esk23_0)),
    inference(spm,[status(thm)],[c_0_90,c_0_54]) ).

fof(c_0_98,plain,
    ! [X39,X40,X39,X40,X42] :
      ( ( occurrence_of(X40,esk3_2(X39,X40))
        | ~ leaf_occ(X39,X40) )
      & ( subactivity_occurrence(X39,X40)
        | ~ leaf_occ(X39,X40) )
      & ( leaf(X39,esk3_2(X39,X40))
        | ~ leaf_occ(X39,X40) )
      & ( ~ occurrence_of(X40,X42)
        | ~ subactivity_occurrence(X39,X40)
        | ~ leaf(X39,X42)
        | leaf_occ(X39,X40) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])])])])]) ).

cnf(c_0_99,plain,
    ( leaf_occ(esk16_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

fof(c_0_100,plain,
    ! [X23,X24,X25] :
      ( ( arboreal(X23)
        | ~ next_subocc(X23,X24,X25) )
      & ( arboreal(X24)
        | ~ next_subocc(X23,X24,X25) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])])])])]) ).

cnf(c_0_101,plain,
    ( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_102,negated_conjecture,
    esk15_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = esk22_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_38]),c_0_92])]) ).

fof(c_0_103,plain,
    ! [X20,X21,X22,X23,X20,X21,X22] :
      ( ( min_precedes(X20,X21,X22)
        | ~ next_subocc(X20,X21,X22) )
      & ( ~ min_precedes(X20,X23,X22)
        | ~ min_precedes(X23,X21,X22)
        | ~ next_subocc(X20,X21,X22) )
      & ( min_precedes(X20,esk1_3(X20,X21,X22),X22)
        | ~ min_precedes(X20,X21,X22)
        | next_subocc(X20,X21,X22) )
      & ( min_precedes(esk1_3(X20,X21,X22),X21,X22)
        | ~ min_precedes(X20,X21,X22)
        | next_subocc(X20,X21,X22) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_04])])])])])])]) ).

cnf(c_0_104,negated_conjecture,
    ( 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))),tptp2) ),
    inference(spm,[status(thm)],[c_0_93,c_0_82]) ).

cnf(c_0_105,plain,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | min_precedes(X1,X2,X3)
    | ~ subactivity_occurrence(X2,X4)
    | ~ subactivity_occurrence(X1,X4)
    | ~ arboreal(X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_106,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_95,c_0_76]) ).

cnf(c_0_107,negated_conjecture,
    arboreal(esk14_2(esk21_0,esk23_0)),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_108,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_109,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_99,c_0_82]) ).

cnf(c_0_110,plain,
    ( arboreal(X2)
    | ~ next_subocc(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_111,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_101,c_0_82]),c_0_102]) ).

cnf(c_0_112,plain,
    ( ~ next_subocc(X1,X2,X3)
    | ~ min_precedes(X4,X2,X3)
    | ~ min_precedes(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_113,plain,
    ( occurrence_of(X2,esk3_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_114,negated_conjecture,
    ( activity_occurrence(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))))
    | occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp3) ),
    inference(spm,[status(thm)],[c_0_39,c_0_104]) ).

cnf(c_0_115,negated_conjecture,
    ( X1 = esk14_2(esk21_0,esk23_0)
    | min_precedes(esk14_2(esk21_0,esk23_0),X1,X2)
    | min_precedes(X1,esk14_2(esk21_0,esk23_0),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_105,c_0_106]),c_0_107])]) ).

cnf(c_0_116,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_108,c_0_109]) ).

cnf(c_0_117,negated_conjecture,
    arboreal(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_118,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_112,c_0_111]) ).

cnf(c_0_119,plain,
    ( leaf(X1,esk3_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

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_109]) ).

cnf(c_0_121,negated_conjecture,
    esk7_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = tptp0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_82]),c_0_92])]) ).

cnf(c_0_122,negated_conjecture,
    activity_occurrence(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))),
    inference(spm,[status(thm)],[c_0_39,c_0_114]) ).

fof(c_0_123,plain,
    ! [X47,X48,X50,X47,X48,X51] :
      ( ( root(X47,X48)
        | min_precedes(esk4_2(X47,X48),X47,X48)
        | ~ leaf(X47,X48) )
      & ( ~ min_precedes(X47,X50,X48)
        | ~ leaf(X47,X48) )
      & ( ~ root(X47,X48)
        | min_precedes(X47,esk5_2(X47,X48),X48)
        | leaf(X47,X48) )
      & ( ~ min_precedes(X51,X47,X48)
        | min_precedes(X47,esk5_2(X47,X48),X48)
        | leaf(X47,X48) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_14])])])])])])]) ).

cnf(c_0_124,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_115,c_0_116]),c_0_117])]) ).

cnf(c_0_125,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_118,c_0_76]) ).

cnf(c_0_126,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_119,c_0_109]) ).

cnf(c_0_127,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_120]),c_0_121]),c_0_92])]) ).

cnf(c_0_128,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_104]),c_0_122])]) ).

cnf(c_0_129,plain,
    ( ~ leaf(X1,X2)
    | ~ min_precedes(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_130,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_38]),c_0_121]),c_0_121]),c_0_92])]),c_0_125]) ).

cnf(c_0_131,negated_conjecture,
    leaf(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp0),
    inference(rw,[status(thm)],[c_0_126,c_0_127]) ).

fof(c_0_132,plain,
    ! [X109,X110,X111,X112,X113] :
      ( ( X109 != tptp4
        | ~ send_message(X109,X110,X111,X112,X113) )
      & ( X109 != tptp3
        | ~ send_message(X109,X110,X111,X112,X113) )
      & ( X109 != tptp2
        | ~ send_message(X109,X110,X111,X112,X113) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_46])])])])]) ).

cnf(c_0_133,negated_conjecture,
    ( esk7_1(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))) = tptp3
    | esk7_1(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))) = tptp2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_128]),c_0_122])]) ).

cnf(c_0_134,negated_conjecture,
    esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = esk14_2(esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131])]) ).

cnf(c_0_135,plain,
    ( ~ send_message(X1,X2,X3,X4,X5)
    | X1 != tptp2 ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_136,negated_conjecture,
    ( esk7_1(esk14_2(esk21_0,esk23_0)) = tptp3
    | esk7_1(esk14_2(esk21_0,esk23_0)) = tptp2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134]),c_0_134]) ).

cnf(c_0_137,plain,
    ~ send_message(tptp2,X1,X2,X3,X4),
    inference(er,[status(thm)],[c_0_135]) ).

cnf(c_0_138,plain,
    ( ~ send_message(X1,X2,X3,X4,X5)
    | X1 != tptp3 ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_139,negated_conjecture,
    esk7_1(esk14_2(esk21_0,esk23_0)) = tptp3,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_136]),c_0_137]) ).

cnf(c_0_140,plain,
    ~ send_message(tptp3,X1,X2,X3,X4),
    inference(er,[status(thm)],[c_0_138]) ).

cnf(c_0_141,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_139]),c_0_140]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PRO002+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 13 03:20:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.37/23.40  eprover: CPU time limit exceeded, terminating
% 0.37/23.41  eprover: CPU time limit exceeded, terminating
% 0.37/23.41  eprover: CPU time limit exceeded, terminating
% 0.37/23.46  eprover: CPU time limit exceeded, terminating
% 0.52/46.42  eprover: CPU time limit exceeded, terminating
% 0.52/46.42  eprover: CPU time limit exceeded, terminating
% 0.52/46.43  eprover: CPU time limit exceeded, terminating
% 0.52/46.49  eprover: CPU time limit exceeded, terminating
% 0.67/69.43  eprover: CPU time limit exceeded, terminating
% 0.67/69.44  eprover: CPU time limit exceeded, terminating
% 0.67/69.45  eprover: CPU time limit exceeded, terminating
% 0.67/69.51  eprover: CPU time limit exceeded, terminating
% 0.70/74.88  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.70/74.88  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.70/74.88  # Preprocessing time       : 0.016 s
% 0.70/74.88  
% 0.70/74.88  # Failure: Out of unprocessed clauses!
% 0.70/74.88  # OLD status GaveUp
% 0.70/74.88  # Parsed axioms                        : 52
% 0.70/74.88  # Removed by relevancy pruning/SinE    : 38
% 0.70/74.88  # Initial clauses                      : 28
% 0.70/74.88  # Removed in clause preprocessing      : 0
% 0.70/74.88  # Initial clauses in saturation        : 28
% 0.70/74.88  # Processed clauses                    : 56
% 0.70/74.88  # ...of these trivial                  : 0
% 0.70/74.88  # ...subsumed                          : 1
% 0.70/74.88  # ...remaining for further processing  : 55
% 0.70/74.88  # Other redundant clauses eliminated   : 0
% 0.70/74.88  # Clauses deleted for lack of memory   : 0
% 0.70/74.88  # Backward-subsumed                    : 0
% 0.70/74.88  # Backward-rewritten                   : 1
% 0.70/74.88  # Generated clauses                    : 31
% 0.70/74.88  # ...of the previous two non-trivial   : 29
% 0.70/74.88  # Contextual simplify-reflections      : 0
% 0.70/74.88  # Paramodulations                      : 31
% 0.70/74.88  # Factorizations                       : 0
% 0.70/74.88  # Equation resolutions                 : 0
% 0.70/74.88  # Current number of processed clauses  : 54
% 0.70/74.88  #    Positive orientable unit clauses  : 15
% 0.70/74.88  #    Positive unorientable unit clauses: 0
% 0.70/74.88  #    Negative unit clauses             : 8
% 0.70/74.88  #    Non-unit-clauses                  : 31
% 0.70/74.88  # Current number of unprocessed clauses: 0
% 0.70/74.88  # ...number of literals in the above   : 0
% 0.70/74.88  # Current number of archived formulas  : 0
% 0.70/74.88  # Current number of archived clauses   : 1
% 0.70/74.88  # Clause-clause subsumption calls (NU) : 55
% 0.70/74.88  # Rec. Clause-clause subsumption calls : 47
% 0.70/74.88  # Non-unit clause-clause subsumptions  : 0
% 0.70/74.88  # Unit Clause-clause subsumption calls : 15
% 0.70/74.88  # Rewrite failures with RHS unbound    : 0
% 0.70/74.88  # BW rewrite match attempts            : 3
% 0.70/74.88  # BW rewrite match successes           : 1
% 0.70/74.88  # Condensation attempts                : 0
% 0.70/74.88  # Condensation successes               : 0
% 0.70/74.88  # Termbank termtop insertions          : 2397
% 0.70/74.88  
% 0.70/74.88  # -------------------------------------------------
% 0.70/74.88  # User time                : 0.014 s
% 0.70/74.88  # System time              : 0.004 s
% 0.70/74.88  # Total time               : 0.018 s
% 0.70/74.88  # Maximum resident set size: 3120 pages
% 0.70/74.88  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.70/74.88  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.70/74.88  # Preprocessing time       : 0.014 s
% 0.70/74.88  
% 0.70/74.88  # Failure: Out of unprocessed clauses!
% 0.70/74.88  # OLD status GaveUp
% 0.70/74.88  # Parsed axioms                        : 52
% 0.70/74.88  # Removed by relevancy pruning/SinE    : 45
% 0.70/74.88  # Initial clauses                      : 13
% 0.70/74.88  # Removed in clause preprocessing      : 0
% 0.70/74.88  # Initial clauses in saturation        : 13
% 0.70/74.88  # Processed clauses                    : 19
% 0.70/74.88  # ...of these trivial                  : 0
% 0.70/74.88  # ...subsumed                          : 1
% 0.70/74.88  # ...remaining for further processing  : 18
% 0.70/74.88  # Other redundant clauses eliminated   : 0
% 0.70/74.88  # Clauses deleted for lack of memory   : 0
% 0.70/74.88  # Backward-subsumed                    : 0
% 0.70/74.88  # Backward-rewritten                   : 0
% 0.70/74.88  # Generated clauses                    : 6
% 0.70/74.88  # ...of the previous two non-trivial   : 6
% 0.70/74.88  # Contextual simplify-reflections      : 0
% 0.70/74.88  # Paramodulations                      : 6
% 0.70/74.88  # Factorizations                       : 0
% 0.70/74.88  # Equation resolutions                 : 0
% 0.70/74.88  # Current number of processed clauses  : 18
% 0.70/74.88  #    Positive orientable unit clauses  : 5
% 0.70/74.88  #    Positive unorientable unit clauses: 0
% 0.70/74.88  #    Negative unit clauses             : 3
% 0.70/74.88  #    Non-unit-clauses                  : 10
% 0.70/74.88  # Current number of unprocessed clauses: 0
% 0.70/74.88  # ...number of literals in the above   : 0
% 0.70/74.88  # Current number of archived formulas  : 0
% 0.70/74.88  # Current number of archived clauses   : 0
% 0.70/74.88  # Clause-clause subsumption calls (NU) : 5
% 0.70/74.88  # Rec. Clause-clause subsumption calls : 5
% 0.70/74.88  # Non-unit clause-clause subsumptions  : 0
% 0.70/74.88  # Unit Clause-clause subsumption calls : 3
% 0.70/74.88  # Rewrite failures with RHS unbound    : 0
% 0.70/74.88  # BW rewrite match attempts            : 0
% 0.70/74.88  # BW rewrite match successes           : 0
% 0.70/74.88  # Condensation attempts                : 0
% 0.70/74.88  # Condensation successes               : 0
% 0.70/74.88  # Termbank termtop insertions          : 1162
% 0.70/74.88  
% 0.70/74.88  # -------------------------------------------------
% 0.70/74.88  # User time                : 0.013 s
% 0.70/74.88  # System time              : 0.002 s
% 0.70/74.88  # Total time               : 0.015 s
% 0.70/74.88  # Maximum resident set size: 2832 pages
% 0.70/74.88  # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.70/74.88  
% 0.70/74.88  # Failure: Resource limit exceeded (time)
% 0.70/74.88  # OLD status Res
% 0.70/74.88  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.70/74.88  # Preprocessing time       : 0.017 s
% 0.70/74.88  # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.70/74.88  
% 0.70/74.88  # Failure: Resource limit exceeded (time)
% 0.70/74.88  # OLD status Res
% 0.70/74.88  # Preprocessing time       : 0.020 s
% 0.70/74.88  # Running protocol protocol_eprover_260890dcdd2d907655d788d68835201aeffdef4a for 23 seconds:
% 0.70/74.88  
% 0.70/74.88  # Failure: Resource limit exceeded (time)
% 0.70/74.88  # OLD status Res
% 0.70/74.88  # SinE strategy is GSinE(CountFormulas,,1.5,,03,100,1.0)
% 0.70/74.88  # Preprocessing time       : 0.019 s
% 0.70/74.88  # Running protocol protocol_eprover_9a428cb4e1feff5dec19b8494e78e7f0e8ede446 for 23 seconds:
% 0.70/74.88  # Preprocessing time       : 0.022 s
% 0.70/74.88  
% 0.70/74.88  # Proof found!
% 0.70/74.88  # SZS status Theorem
% 0.70/74.88  # SZS output start CNFRefutation
% See solution above
% 0.70/74.88  # Proof object total steps             : 142
% 0.70/74.88  # Proof object clause steps            : 99
% 0.70/74.88  # Proof object formula steps           : 43
% 0.70/74.88  # Proof object conjectures             : 66
% 0.70/74.88  # Proof object clause conjectures      : 63
% 0.70/74.88  # Proof object formula conjectures     : 3
% 0.70/74.88  # Proof object initial clauses used    : 35
% 0.70/74.88  # Proof object initial formulas used   : 21
% 0.70/74.88  # Proof object generating inferences   : 58
% 0.70/74.88  # Proof object simplifying inferences  : 48
% 0.70/74.88  # Training examples: 0 positive, 0 negative
% 0.70/74.88  # Parsed axioms                        : 52
% 0.70/74.88  # Removed by relevancy pruning/SinE    : 0
% 0.70/74.88  # Initial clauses                      : 98
% 0.70/74.88  # Removed in clause preprocessing      : 0
% 0.70/74.88  # Initial clauses in saturation        : 98
% 0.70/74.88  # Processed clauses                    : 18118
% 0.70/74.88  # ...of these trivial                  : 253
% 0.70/74.88  # ...subsumed                          : 11489
% 0.70/74.88  # ...remaining for further processing  : 6376
% 0.70/74.88  # Other redundant clauses eliminated   : 0
% 0.70/74.88  # Clauses deleted for lack of memory   : 101867
% 0.70/74.88  # Backward-subsumed                    : 154
% 0.70/74.88  # Backward-rewritten                   : 1407
% 0.70/74.88  # Generated clauses                    : 341851
% 0.70/74.88  # ...of the previous two non-trivial   : 306775
% 0.70/74.88  # Contextual simplify-reflections      : 0
% 0.70/74.88  # Paramodulations                      : 341829
% 0.70/74.88  # Factorizations                       : 3
% 0.70/74.88  # Equation resolutions                 : 3
% 0.70/74.88  # Current number of processed clauses  : 4799
% 0.70/74.88  #    Positive orientable unit clauses  : 321
% 0.70/74.88  #    Positive unorientable unit clauses: 0
% 0.70/74.88  #    Negative unit clauses             : 81
% 0.70/74.88  #    Non-unit-clauses                  : 4397
% 0.70/74.88  # Current number of unprocessed clauses: 173179
% 0.70/74.88  # ...number of literals in the above   : 394976
% 0.70/74.88  # Current number of archived formulas  : 0
% 0.70/74.88  # Current number of archived clauses   : 1577
% 0.70/74.88  # Clause-clause subsumption calls (NU) : 3353071
% 0.70/74.88  # Rec. Clause-clause subsumption calls : 1904600
% 0.70/74.88  # Non-unit clause-clause subsumptions  : 11205
% 0.70/74.88  # Unit Clause-clause subsumption calls : 51514
% 0.70/74.88  # Rewrite failures with RHS unbound    : 0
% 0.70/74.88  # BW rewrite match attempts            : 1439
% 0.70/74.88  # BW rewrite match successes           : 85
% 0.70/74.88  # Condensation attempts                : 0
% 0.70/74.88  # Condensation successes               : 0
% 0.70/74.88  # Termbank termtop insertions          : 20176667
% 0.70/74.88  
% 0.70/74.88  # -------------------------------------------------
% 0.70/74.88  # User time                : 4.404 s
% 0.70/74.88  # System time              : 0.102 s
% 0.70/74.88  # Total time               : 4.506 s
% 0.70/74.88  # Maximum resident set size: 136008 pages
% 0.70/92.45  eprover: CPU time limit exceeded, terminating
% 0.70/92.46  eprover: CPU time limit exceeded, terminating
% 0.70/92.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.70/92.47  eprover: No such file or directory
% 0.70/92.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.48  eprover: No such file or directory
% 0.70/92.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.48  eprover: No such file or directory
% 0.70/92.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.70/92.48  eprover: No such file or directory
% 0.70/92.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.48  eprover: No such file or directory
% 0.70/92.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.70/92.49  eprover: No such file or directory
% 0.70/92.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.49  eprover: No such file or directory
% 0.70/92.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.70/92.49  eprover: No such file or directory
% 0.70/92.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.49  eprover: No such file or directory
% 0.70/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.70/92.50  eprover: No such file or directory
% 0.70/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.50  eprover: No such file or directory
% 0.70/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.70/92.50  eprover: No such file or directory
% 0.70/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.50  eprover: No such file or directory
% 0.70/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.70/92.50  eprover: No such file or directory
% 0.70/92.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.51  eprover: No such file or directory
% 0.70/92.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.70/92.51  eprover: No such file or directory
% 0.70/92.52  eprover: CPU time limit exceeded, terminating
% 0.70/92.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.53  eprover: No such file or directory
% 0.70/92.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.54  eprover: No such file or directory
% 0.70/92.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.54  eprover: No such file or directory
% 0.70/92.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.54  eprover: No such file or directory
% 0.70/92.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.55  eprover: No such file or directory
% 0.70/92.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.55  eprover: No such file or directory
% 0.70/92.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.55  eprover: No such file or directory
% 0.70/92.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.70/92.55  eprover: No such file or directory
%------------------------------------------------------------------------------