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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU278+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 09:18:33 EDT 2022

% Result   : Theorem 0.32s 17.51s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   57 (   7 unt;   0 def)
%            Number of atoms       :  257 (  29 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  344 ( 144   ~; 160   |;  31   &)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   3 con; 0-4 aty)
%            Number of variables   :  177 (  21 sgn  51   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(s1_relat_1__e6_21__wellord2,conjecture,
    ! [X1,X2,X3] :
      ( ( relation(X2)
        & relation(X3)
        & function(X3) )
     => ? [X4] :
          ( relation(X4)
          & ! [X5,X6] :
              ( in(ordered_pair(X5,X6),X4)
            <=> ( in(X5,X1)
                & in(X6,X1)
                & in(ordered_pair(apply(X3,X5),apply(X3,X6)),X2) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_relat_1__e6_21__wellord2) ).

fof(d1_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
    <=> ! [X2] :
          ~ ( in(X2,X1)
            & ! [X3,X4] : X2 != ordered_pair(X3,X4) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_relat_1) ).

fof(s1_xboole_0__e6_21__wellord2__1,axiom,
    ! [X1,X2,X3] :
      ( ( relation(X2)
        & relation(X3)
        & function(X3) )
     => ? [X4] :
        ! [X5] :
          ( in(X5,X4)
        <=> ( in(X5,cartesian_product2(X1,X1))
            & ? [X6,X7] :
                ( X5 = ordered_pair(X6,X7)
                & in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_xboole_0__e6_21__wellord2__1) ).

fof(t106_zfmisc_1,axiom,
    ! [X1,X2,X3,X4] :
      ( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
    <=> ( in(X1,X3)
        & in(X2,X4) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t106_zfmisc_1) ).

fof(t33_zfmisc_1,axiom,
    ! [X1,X2,X3,X4] :
      ( ordered_pair(X1,X2) = ordered_pair(X3,X4)
     => ( X1 = X3
        & X2 = X4 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t33_zfmisc_1) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( relation(X2)
          & relation(X3)
          & function(X3) )
       => ? [X4] :
            ( relation(X4)
            & ! [X5,X6] :
                ( in(ordered_pair(X5,X6),X4)
              <=> ( in(X5,X1)
                  & in(X6,X1)
                  & in(ordered_pair(apply(X3,X5),apply(X3,X6)),X2) ) ) ) ),
    inference(assume_negation,[status(cth)],[s1_relat_1__e6_21__wellord2]) ).

fof(c_0_6,plain,
    ! [X5,X6,X5,X10,X11] :
      ( ( ~ relation(X5)
        | ~ in(X6,X5)
        | X6 = ordered_pair(esk6_2(X5,X6),esk7_2(X5,X6)) )
      & ( in(esk8_1(X5),X5)
        | relation(X5) )
      & ( esk8_1(X5) != ordered_pair(X10,X11)
        | relation(X5) ) ),
    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)],[d1_relat_1])])])])])])]) ).

fof(c_0_7,plain,
    ! [X8,X9,X10,X12,X12,X15,X16] :
      ( ( in(X12,cartesian_product2(X8,X8))
        | ~ in(X12,esk9_3(X8,X9,X10))
        | ~ relation(X9)
        | ~ relation(X10)
        | ~ function(X10) )
      & ( X12 = ordered_pair(esk10_4(X8,X9,X10,X12),esk11_4(X8,X9,X10,X12))
        | ~ in(X12,esk9_3(X8,X9,X10))
        | ~ relation(X9)
        | ~ relation(X10)
        | ~ function(X10) )
      & ( in(ordered_pair(apply(X10,esk10_4(X8,X9,X10,X12)),apply(X10,esk11_4(X8,X9,X10,X12))),X9)
        | ~ in(X12,esk9_3(X8,X9,X10))
        | ~ relation(X9)
        | ~ relation(X10)
        | ~ function(X10) )
      & ( ~ in(X12,cartesian_product2(X8,X8))
        | X12 != ordered_pair(X15,X16)
        | ~ in(ordered_pair(apply(X10,X15),apply(X10,X16)),X9)
        | in(X12,esk9_3(X8,X9,X10))
        | ~ relation(X9)
        | ~ relation(X10)
        | ~ function(X10) ) ),
    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)],[s1_xboole_0__e6_21__wellord2__1])])])])])])]) ).

fof(c_0_8,negated_conjecture,
    ! [X10] :
      ( relation(esk2_0)
      & relation(esk3_0)
      & function(esk3_0)
      & ( ~ in(ordered_pair(esk4_1(X10),esk5_1(X10)),X10)
        | ~ in(esk4_1(X10),esk1_0)
        | ~ in(esk5_1(X10),esk1_0)
        | ~ in(ordered_pair(apply(esk3_0,esk4_1(X10)),apply(esk3_0,esk5_1(X10))),esk2_0)
        | ~ relation(X10) )
      & ( in(esk4_1(X10),esk1_0)
        | in(ordered_pair(esk4_1(X10),esk5_1(X10)),X10)
        | ~ relation(X10) )
      & ( in(esk5_1(X10),esk1_0)
        | in(ordered_pair(esk4_1(X10),esk5_1(X10)),X10)
        | ~ relation(X10) )
      & ( in(ordered_pair(apply(esk3_0,esk4_1(X10)),apply(esk3_0,esk5_1(X10))),esk2_0)
        | in(ordered_pair(esk4_1(X10),esk5_1(X10)),X10)
        | ~ relation(X10) ) ),
    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)],[c_0_5])])])])])])]) ).

cnf(c_0_9,plain,
    ( relation(X1)
    | esk8_1(X1) != ordered_pair(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( X3 = ordered_pair(esk10_4(X4,X2,X1,X3),esk11_4(X4,X2,X1,X3))
    | ~ function(X1)
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ in(X3,esk9_3(X4,X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X5,X6,X7,X8,X5,X6,X7,X8] :
      ( ( in(X5,X7)
        | ~ in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) )
      & ( in(X6,X8)
        | ~ in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) )
      & ( ~ in(X5,X7)
        | ~ in(X6,X8)
        | in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])])])]) ).

cnf(c_0_12,plain,
    ( in(X3,cartesian_product2(X4,X4))
    | ~ function(X1)
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ in(X3,esk9_3(X4,X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,negated_conjecture,
    ( in(ordered_pair(esk4_1(X1),esk5_1(X1)),X1)
    | in(esk5_1(X1),esk1_0)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ( relation(X1)
    | esk8_1(X1) != X2
    | ~ in(X2,esk9_3(X3,X4,X5))
    | ~ function(X5)
    | ~ relation(X4)
    | ~ relation(X5) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,plain,
    ( relation(X1)
    | in(esk8_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,negated_conjecture,
    ( in(ordered_pair(esk4_1(X1),esk5_1(X1)),X1)
    | in(esk4_1(X1),esk1_0)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_17,plain,
    ( in(X2,X4)
    | ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    ( in(ordered_pair(esk4_1(esk9_3(X1,X2,X3)),esk5_1(esk9_3(X1,X2,X3))),cartesian_product2(X1,X1))
    | in(esk5_1(esk9_3(X1,X2,X3)),esk1_0)
    | ~ function(X3)
    | ~ relation(esk9_3(X1,X2,X3))
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,plain,
    ( relation(esk9_3(X1,X2,X3))
    | relation(X4)
    | esk8_1(X4) != esk8_1(esk9_3(X1,X2,X3))
    | ~ function(X3)
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    ( in(X1,X3)
    | ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,negated_conjecture,
    ( in(ordered_pair(esk4_1(esk9_3(X1,X2,X3)),esk5_1(esk9_3(X1,X2,X3))),cartesian_product2(X1,X1))
    | in(esk4_1(esk9_3(X1,X2,X3)),esk1_0)
    | ~ function(X3)
    | ~ relation(esk9_3(X1,X2,X3))
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_12,c_0_16]) ).

fof(c_0_22,plain,
    ! [X5,X6,X7,X8] :
      ( ( X5 = X7
        | ordered_pair(X5,X6) != ordered_pair(X7,X8) )
      & ( X6 = X8
        | ordered_pair(X5,X6) != ordered_pair(X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_zfmisc_1])])]) ).

cnf(c_0_23,negated_conjecture,
    ( in(esk5_1(esk9_3(X1,X2,X3)),esk1_0)
    | in(esk5_1(esk9_3(X1,X2,X3)),X1)
    | ~ function(X3)
    | ~ relation(esk9_3(X1,X2,X3))
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,plain,
    ( relation(esk9_3(X1,X2,X3))
    | ~ function(X3)
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(er,[status(thm)],[c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    ( in(esk4_1(esk9_3(X1,X2,X3)),esk1_0)
    | in(esk4_1(esk9_3(X1,X2,X3)),X1)
    | ~ function(X3)
    | ~ relation(esk9_3(X1,X2,X3))
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_26,plain,
    ( X2 = X4
    | ordered_pair(X1,X2) != ordered_pair(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_27,plain,
    ( in(X3,esk9_3(X4,X2,X1))
    | ~ function(X1)
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ in(ordered_pair(apply(X1,X5),apply(X1,X6)),X2)
    | X3 != ordered_pair(X5,X6)
    | ~ in(X3,cartesian_product2(X4,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_28,negated_conjecture,
    ( in(ordered_pair(esk4_1(X1),esk5_1(X1)),X1)
    | in(ordered_pair(apply(esk3_0,esk4_1(X1)),apply(esk3_0,esk5_1(X1))),esk2_0)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_29,negated_conjecture,
    function(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_30,negated_conjecture,
    relation(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_31,negated_conjecture,
    relation(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_32,negated_conjecture,
    ( in(esk5_1(esk9_3(X1,X2,X3)),esk1_0)
    | in(esk5_1(esk9_3(X1,X2,X3)),X1)
    | ~ function(X3)
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_33,negated_conjecture,
    ( in(esk4_1(esk9_3(X1,X2,X3)),esk1_0)
    | in(esk4_1(esk9_3(X1,X2,X3)),X1)
    | ~ function(X3)
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_25,c_0_24]) ).

cnf(c_0_34,plain,
    ( X1 = esk11_4(X2,X3,X4,X5)
    | ordered_pair(X6,X1) != X5
    | ~ in(X5,esk9_3(X2,X3,X4))
    | ~ function(X4)
    | ~ relation(X3)
    | ~ relation(X4) ),
    inference(spm,[status(thm)],[c_0_26,c_0_10]) ).

cnf(c_0_35,plain,
    ( X1 = X3
    | ordered_pair(X1,X2) != ordered_pair(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_36,negated_conjecture,
    ( in(ordered_pair(esk4_1(X1),esk5_1(X1)),X1)
    | in(X2,esk9_3(X3,esk2_0,esk3_0))
    | X2 != ordered_pair(esk4_1(X1),esk5_1(X1))
    | ~ in(X2,cartesian_product2(X3,X3))
    | ~ relation(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_31])]) ).

cnf(c_0_37,negated_conjecture,
    ( in(esk5_1(esk9_3(X1,X2,esk3_0)),esk1_0)
    | in(esk5_1(esk9_3(X1,X2,esk3_0)),X1)
    | ~ relation(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_29]),c_0_31])]) ).

cnf(c_0_38,negated_conjecture,
    ( in(esk4_1(esk9_3(X1,X2,esk3_0)),esk1_0)
    | in(esk4_1(esk9_3(X1,X2,esk3_0)),X1)
    | ~ relation(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_29]),c_0_31])]) ).

cnf(c_0_39,plain,
    ( in(ordered_pair(apply(X1,esk10_4(X4,X2,X1,X3)),apply(X1,esk11_4(X4,X2,X1,X3))),X2)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ in(X3,esk9_3(X4,X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_40,plain,
    ( esk11_4(X1,X2,X3,ordered_pair(X4,X5)) = X5
    | ~ in(ordered_pair(X4,X5),esk9_3(X1,X2,X3))
    | ~ function(X3)
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(er,[status(thm)],[c_0_34]) ).

cnf(c_0_41,plain,
    ( esk10_4(X1,X2,X3,X4) = X5
    | X4 != ordered_pair(X5,X6)
    | ~ in(X4,esk9_3(X1,X2,X3))
    | ~ function(X3)
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_10]) ).

cnf(c_0_42,negated_conjecture,
    ( in(ordered_pair(esk4_1(X1),esk5_1(X1)),esk9_3(X2,esk2_0,esk3_0))
    | in(ordered_pair(esk4_1(X1),esk5_1(X1)),X1)
    | ~ in(ordered_pair(esk4_1(X1),esk5_1(X1)),cartesian_product2(X2,X2))
    | ~ relation(X1) ),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_43,plain,
    ( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
    | ~ in(X2,X4)
    | ~ in(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_44,negated_conjecture,
    ( in(esk5_1(esk9_3(X1,esk2_0,esk3_0)),esk1_0)
    | in(esk5_1(esk9_3(X1,esk2_0,esk3_0)),X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_30]) ).

cnf(c_0_45,negated_conjecture,
    ( in(esk4_1(esk9_3(X1,esk2_0,esk3_0)),esk1_0)
    | in(esk4_1(esk9_3(X1,esk2_0,esk3_0)),X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_30]) ).

cnf(c_0_46,plain,
    ( in(ordered_pair(apply(X1,esk10_4(X2,X3,X1,ordered_pair(X4,X5))),apply(X1,X5)),X3)
    | ~ in(ordered_pair(X4,X5),esk9_3(X2,X3,X1))
    | ~ function(X1)
    | ~ relation(X3)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_47,plain,
    ( esk10_4(X1,X2,X3,ordered_pair(X4,X5)) = X4
    | ~ in(ordered_pair(X4,X5),esk9_3(X1,X2,X3))
    | ~ function(X3)
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(er,[status(thm)],[c_0_41]) ).

cnf(c_0_48,negated_conjecture,
    ( in(ordered_pair(esk4_1(X1),esk5_1(X1)),esk9_3(X2,esk2_0,esk3_0))
    | in(ordered_pair(esk4_1(X1),esk5_1(X1)),X1)
    | ~ in(esk5_1(X1),X2)
    | ~ in(esk4_1(X1),X2)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_49,negated_conjecture,
    in(esk5_1(esk9_3(esk1_0,esk2_0,esk3_0)),esk1_0),
    inference(ef,[status(thm)],[c_0_44]) ).

cnf(c_0_50,negated_conjecture,
    in(esk4_1(esk9_3(esk1_0,esk2_0,esk3_0)),esk1_0),
    inference(ef,[status(thm)],[c_0_45]) ).

cnf(c_0_51,plain,
    ( in(ordered_pair(apply(X1,X2),apply(X1,X3)),X4)
    | ~ in(ordered_pair(X2,X3),esk9_3(X5,X4,X1))
    | ~ function(X1)
    | ~ relation(X4)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    ( in(ordered_pair(esk4_1(esk9_3(esk1_0,esk2_0,esk3_0)),esk5_1(esk9_3(esk1_0,esk2_0,esk3_0))),esk9_3(esk1_0,esk2_0,esk3_0))
    | ~ relation(esk9_3(esk1_0,esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ relation(X1)
    | ~ in(ordered_pair(apply(esk3_0,esk4_1(X1)),apply(esk3_0,esk5_1(X1))),esk2_0)
    | ~ in(esk5_1(X1),esk1_0)
    | ~ in(esk4_1(X1),esk1_0)
    | ~ in(ordered_pair(esk4_1(X1),esk5_1(X1)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_54,negated_conjecture,
    ( in(ordered_pair(apply(esk3_0,esk4_1(esk9_3(esk1_0,esk2_0,esk3_0))),apply(esk3_0,esk5_1(esk9_3(esk1_0,esk2_0,esk3_0)))),esk2_0)
    | ~ relation(esk9_3(esk1_0,esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_29]),c_0_30]),c_0_31])]) ).

cnf(c_0_55,negated_conjecture,
    ~ relation(esk9_3(esk1_0,esk2_0,esk3_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_50]),c_0_49])]),c_0_52]) ).

cnf(c_0_56,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_24]),c_0_29]),c_0_30]),c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU278+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun 19 20:08:48 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.32/17.51  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.32/17.51  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.32/17.51  # Preprocessing time       : 0.017 s
% 0.32/17.51  
% 0.32/17.51  # Proof found!
% 0.32/17.51  # SZS status Theorem
% 0.32/17.51  # SZS output start CNFRefutation
% See solution above
% 0.32/17.51  # Proof object total steps             : 57
% 0.32/17.51  # Proof object clause steps            : 46
% 0.32/17.51  # Proof object formula steps           : 11
% 0.32/17.51  # Proof object conjectures             : 29
% 0.32/17.51  # Proof object clause conjectures      : 26
% 0.32/17.51  # Proof object formula conjectures     : 3
% 0.32/17.51  # Proof object initial clauses used    : 18
% 0.32/17.51  # Proof object initial formulas used   : 5
% 0.32/17.51  # Proof object generating inferences   : 28
% 0.32/17.51  # Proof object simplifying inferences  : 22
% 0.32/17.51  # Training examples: 0 positive, 0 negative
% 0.32/17.51  # Parsed axioms                        : 40
% 0.32/17.51  # Removed by relevancy pruning/SinE    : 24
% 0.32/17.51  # Initial clauses                      : 34
% 0.32/17.51  # Removed in clause preprocessing      : 0
% 0.32/17.51  # Initial clauses in saturation        : 34
% 0.32/17.51  # Processed clauses                    : 9726
% 0.32/17.51  # ...of these trivial                  : 174
% 0.32/17.51  # ...subsumed                          : 4906
% 0.32/17.51  # ...remaining for further processing  : 4646
% 0.32/17.51  # Other redundant clauses eliminated   : 83
% 0.32/17.51  # Clauses deleted for lack of memory   : 200297
% 0.32/17.51  # Backward-subsumed                    : 264
% 0.32/17.51  # Backward-rewritten                   : 18
% 0.32/17.51  # Generated clauses                    : 279370
% 0.32/17.51  # ...of the previous two non-trivial   : 278297
% 0.32/17.51  # Contextual simplify-reflections      : 7672
% 0.32/17.51  # Paramodulations                      : 279069
% 0.32/17.51  # Factorizations                       : 192
% 0.32/17.51  # Equation resolutions                 : 109
% 0.32/17.51  # Current number of processed clauses  : 4364
% 0.32/17.51  #    Positive orientable unit clauses  : 117
% 0.32/17.51  #    Positive unorientable unit clauses: 0
% 0.32/17.51  #    Negative unit clauses             : 114
% 0.32/17.51  #    Non-unit-clauses                  : 4133
% 0.32/17.51  # Current number of unprocessed clauses: 57142
% 0.32/17.51  # ...number of literals in the above   : 372779
% 0.32/17.51  # Current number of archived formulas  : 0
% 0.32/17.51  # Current number of archived clauses   : 282
% 0.32/17.51  # Clause-clause subsumption calls (NU) : 2142063
% 0.32/17.51  # Rec. Clause-clause subsumption calls : 638021
% 0.32/17.51  # Non-unit clause-clause subsumptions  : 10748
% 0.32/17.51  # Unit Clause-clause subsumption calls : 43887
% 0.32/17.51  # Rewrite failures with RHS unbound    : 0
% 0.32/17.51  # BW rewrite match attempts            : 9370
% 0.32/17.51  # BW rewrite match successes           : 13
% 0.32/17.51  # Condensation attempts                : 0
% 0.32/17.51  # Condensation successes               : 0
% 0.32/17.51  # Termbank termtop insertions          : 12164171
% 0.32/17.51  
% 0.32/17.51  # -------------------------------------------------
% 0.32/17.51  # User time                : 16.601 s
% 0.32/17.51  # System time              : 0.136 s
% 0.32/17.51  # Total time               : 16.737 s
% 0.32/17.51  # Maximum resident set size: 139376 pages
% 0.32/23.42  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.32/23.42  
% 0.32/23.43  eprover: CPU time limit exceeded, terminating
% 0.32/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44  eprover: No such file or directory
% 0.32/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44  eprover: No such file or directory
% 0.32/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45  eprover: No such file or directory
% 0.32/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45  eprover: No such file or directory
% 0.32/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45  eprover: No such file or directory
% 0.32/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45  eprover: No such file or directory
% 0.32/23.45  eprover: No such file or directory
% 0.32/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46  eprover: No such file or directory
% 0.32/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46  eprover: No such file or directory
% 0.32/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46  eprover: No such file or directory
% 0.32/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46  eprover: No such file or directory
% 0.32/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46  eprover: No such file or directory
% 0.32/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46  eprover: No such file or directory
% 0.32/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47  eprover: No such file or directory
% 0.32/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47  eprover: No such file or directory
% 0.32/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47  eprover: No such file or directory
% 0.32/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47  eprover: No such file or directory
% 0.32/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47  eprover: No such file or directory
% 0.32/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47  eprover: No such file or directory
% 0.32/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48  eprover: No such file or directory
% 0.32/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.48  eprover: No such file or directory
% 0.32/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48  eprover: No such file or directory
% 0.32/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48  eprover: No such file or directory
% 0.32/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48  eprover: No such file or directory
% 0.32/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.48  eprover: No such file or directory
% 0.32/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49  eprover: No such file or directory
% 0.32/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49  eprover: No such file or directory
% 0.32/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.49  eprover: No such file or directory
% 0.32/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49  eprover: No such file or directory
% 0.32/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49  eprover: No such file or directory
% 0.32/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.49  eprover: No such file or directory
% 0.32/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.50  eprover: No such file or directory
% 0.32/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------