TSTP Solution File: SEU181+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU181+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 09:17:32 EDT 2022

% Result   : Theorem 0.22s 2.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   54 (   8 unt;   0 def)
%            Number of atoms       :  198 (  69 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  226 (  82   ~; 118   |;  12   &)
%                                         (   6 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   1 con; 0-3 aty)
%            Number of variables   :   83 (   9 sgn  36   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t37_relat_1,conjecture,
    ! [X1] :
      ( relation(X1)
     => ( relation_rng(X1) = relation_dom(relation_inverse(X1))
        & relation_dom(X1) = relation_rng(relation_inverse(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t37_relat_1) ).

fof(d4_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => ! [X2] :
          ( X2 = relation_dom(X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d4_relat_1) ).

fof(dt_k4_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => relation(relation_inverse(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k4_relat_1) ).

fof(d7_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => ! [X2] :
          ( relation(X2)
         => ( X2 = relation_inverse(X1)
          <=> ! [X3,X4] :
                ( in(ordered_pair(X3,X4),X2)
              <=> in(ordered_pair(X4,X3),X1) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d7_relat_1) ).

fof(involutiveness_k4_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => relation_inverse(relation_inverse(X1)) = X1 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',involutiveness_k4_relat_1) ).

fof(d5_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => ! [X2] :
          ( X2 = relation_rng(X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d5_relat_1) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X1] :
        ( relation(X1)
       => ( relation_rng(X1) = relation_dom(relation_inverse(X1))
          & relation_dom(X1) = relation_rng(relation_inverse(X1)) ) ),
    inference(assume_negation,[status(cth)],[t37_relat_1]) ).

fof(c_0_7,plain,
    ! [X5,X6,X7,X7,X9,X6,X11] :
      ( ( ~ in(X7,X6)
        | in(ordered_pair(X7,esk7_3(X5,X6,X7)),X5)
        | X6 != relation_dom(X5)
        | ~ relation(X5) )
      & ( ~ in(ordered_pair(X7,X9),X5)
        | in(X7,X6)
        | X6 != relation_dom(X5)
        | ~ relation(X5) )
      & ( ~ in(esk8_2(X5,X6),X6)
        | ~ in(ordered_pair(esk8_2(X5,X6),X11),X5)
        | X6 = relation_dom(X5)
        | ~ relation(X5) )
      & ( in(esk8_2(X5,X6),X6)
        | in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X5)
        | X6 = relation_dom(X5)
        | ~ 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)],[d4_relat_1])])])])])])]) ).

fof(c_0_8,negated_conjecture,
    ( relation(esk1_0)
    & ( relation_rng(esk1_0) != relation_dom(relation_inverse(esk1_0))
      | relation_dom(esk1_0) != relation_rng(relation_inverse(esk1_0)) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_9,plain,
    ! [X2] :
      ( ~ relation(X2)
      | relation(relation_inverse(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relat_1])]) ).

fof(c_0_10,plain,
    ! [X5,X6,X7,X8,X7,X8] :
      ( ( ~ in(ordered_pair(X7,X8),X6)
        | in(ordered_pair(X8,X7),X5)
        | X6 != relation_inverse(X5)
        | ~ relation(X6)
        | ~ relation(X5) )
      & ( ~ in(ordered_pair(X8,X7),X5)
        | in(ordered_pair(X7,X8),X6)
        | X6 != relation_inverse(X5)
        | ~ relation(X6)
        | ~ relation(X5) )
      & ( ~ in(ordered_pair(esk5_2(X5,X6),esk6_2(X5,X6)),X6)
        | ~ in(ordered_pair(esk6_2(X5,X6),esk5_2(X5,X6)),X5)
        | X6 = relation_inverse(X5)
        | ~ relation(X6)
        | ~ relation(X5) )
      & ( in(ordered_pair(esk5_2(X5,X6),esk6_2(X5,X6)),X6)
        | in(ordered_pair(esk6_2(X5,X6),esk5_2(X5,X6)),X5)
        | X6 = relation_inverse(X5)
        | ~ relation(X6)
        | ~ 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)],[d7_relat_1])])])])])])]) ).

cnf(c_0_11,plain,
    ( X2 = relation_dom(X1)
    | in(ordered_pair(esk8_2(X1,X2),esk9_2(X1,X2)),X1)
    | in(esk8_2(X1,X2),X2)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    relation(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( relation(relation_inverse(X1))
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_14,plain,
    ! [X2] :
      ( ~ relation(X2)
      | relation_inverse(relation_inverse(X2)) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1])]) ).

cnf(c_0_15,plain,
    ( in(ordered_pair(X3,X4),X2)
    | ~ relation(X1)
    | ~ relation(X2)
    | X2 != relation_inverse(X1)
    | ~ in(ordered_pair(X4,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    ( X1 = relation_dom(esk1_0)
    | in(ordered_pair(esk8_2(esk1_0,X1),esk9_2(esk1_0,X1)),esk1_0)
    | in(esk8_2(esk1_0,X1),X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    relation(relation_inverse(esk1_0)),
    inference(spm,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_18,plain,
    ( relation_inverse(relation_inverse(X1)) = X1
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_19,plain,
    ! [X5,X6,X7,X7,X9,X6,X11] :
      ( ( ~ in(X7,X6)
        | in(ordered_pair(esk2_3(X5,X6,X7),X7),X5)
        | X6 != relation_rng(X5)
        | ~ relation(X5) )
      & ( ~ in(ordered_pair(X9,X7),X5)
        | in(X7,X6)
        | X6 != relation_rng(X5)
        | ~ relation(X5) )
      & ( ~ in(esk3_2(X5,X6),X6)
        | ~ in(ordered_pair(X11,esk3_2(X5,X6)),X5)
        | X6 = relation_rng(X5)
        | ~ relation(X5) )
      & ( in(esk3_2(X5,X6),X6)
        | in(ordered_pair(esk4_2(X5,X6),esk3_2(X5,X6)),X5)
        | X6 = relation_rng(X5)
        | ~ 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)],[d5_relat_1])])])])])])]) ).

cnf(c_0_20,negated_conjecture,
    ( X1 = relation_dom(esk1_0)
    | in(ordered_pair(esk9_2(esk1_0,X1),esk8_2(esk1_0,X1)),X2)
    | in(esk8_2(esk1_0,X1),X1)
    | X2 != relation_inverse(esk1_0)
    | ~ relation(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_12])]) ).

cnf(c_0_21,negated_conjecture,
    ( X1 = relation_dom(relation_inverse(esk1_0))
    | in(ordered_pair(esk8_2(relation_inverse(esk1_0),X1),esk9_2(relation_inverse(esk1_0),X1)),relation_inverse(esk1_0))
    | in(esk8_2(relation_inverse(esk1_0),X1),X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_17]) ).

cnf(c_0_22,negated_conjecture,
    relation_inverse(relation_inverse(esk1_0)) = esk1_0,
    inference(spm,[status(thm)],[c_0_18,c_0_12]) ).

cnf(c_0_23,plain,
    ( in(X3,X2)
    | ~ relation(X1)
    | X2 != relation_rng(X1)
    | ~ in(ordered_pair(X4,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    ( X1 = relation_dom(esk1_0)
    | in(ordered_pair(esk9_2(esk1_0,X1),esk8_2(esk1_0,X1)),relation_inverse(esk1_0))
    | in(esk8_2(esk1_0,X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_17])]) ).

cnf(c_0_25,negated_conjecture,
    ( X1 = relation_dom(relation_inverse(esk1_0))
    | in(ordered_pair(esk9_2(relation_inverse(esk1_0),X1),esk8_2(relation_inverse(esk1_0),X1)),X2)
    | in(esk8_2(relation_inverse(esk1_0),X1),X1)
    | X2 != esk1_0
    | ~ relation(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_21]),c_0_22]),c_0_17])]) ).

cnf(c_0_26,negated_conjecture,
    ( X1 = relation_dom(esk1_0)
    | in(esk8_2(esk1_0,X1),X1)
    | in(esk8_2(esk1_0,X1),X2)
    | X2 != relation_rng(relation_inverse(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_17])]) ).

cnf(c_0_27,negated_conjecture,
    ( X1 = relation_dom(relation_inverse(esk1_0))
    | in(ordered_pair(esk9_2(relation_inverse(esk1_0),X1),esk8_2(relation_inverse(esk1_0),X1)),esk1_0)
    | in(esk8_2(relation_inverse(esk1_0),X1),X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_12]) ).

cnf(c_0_28,negated_conjecture,
    ( X1 = relation_dom(esk1_0)
    | in(esk8_2(esk1_0,X1),relation_rng(relation_inverse(esk1_0)))
    | in(esk8_2(esk1_0,X1),X1) ),
    inference(er,[status(thm)],[c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    ( X1 = relation_dom(relation_inverse(esk1_0))
    | in(esk8_2(relation_inverse(esk1_0),X1),X1)
    | in(esk8_2(relation_inverse(esk1_0),X1),X2)
    | X2 != relation_rng(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_27]),c_0_12])]) ).

cnf(c_0_30,plain,
    ( in(ordered_pair(esk2_3(X1,X2,X3),X3),X1)
    | ~ relation(X1)
    | X2 != relation_rng(X1)
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_31,negated_conjecture,
    ( relation_rng(relation_inverse(esk1_0)) = relation_dom(esk1_0)
    | in(esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))),relation_rng(relation_inverse(esk1_0))) ),
    inference(ef,[status(thm)],[c_0_28]) ).

cnf(c_0_32,negated_conjecture,
    ( X1 = relation_dom(relation_inverse(esk1_0))
    | in(esk8_2(relation_inverse(esk1_0),X1),relation_rng(esk1_0))
    | in(esk8_2(relation_inverse(esk1_0),X1),X1) ),
    inference(er,[status(thm)],[c_0_29]) ).

cnf(c_0_33,negated_conjecture,
    ( relation_rng(relation_inverse(esk1_0)) = relation_dom(esk1_0)
    | in(ordered_pair(esk2_3(X1,relation_rng(relation_inverse(esk1_0)),esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0)))),esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0)))),X1)
    | relation_rng(relation_inverse(esk1_0)) != relation_rng(X1)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    ( relation_rng(esk1_0) = relation_dom(relation_inverse(esk1_0))
    | in(esk8_2(relation_inverse(esk1_0),relation_rng(esk1_0)),relation_rng(esk1_0)) ),
    inference(ef,[status(thm)],[c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    ( relation_rng(relation_inverse(esk1_0)) = relation_dom(esk1_0)
    | in(ordered_pair(esk2_3(relation_inverse(esk1_0),relation_rng(relation_inverse(esk1_0)),esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0)))),esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0)))),relation_inverse(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_33]),c_0_17])]) ).

cnf(c_0_36,negated_conjecture,
    ( relation_rng(esk1_0) = relation_dom(relation_inverse(esk1_0))
    | in(ordered_pair(esk2_3(X1,relation_rng(esk1_0),esk8_2(relation_inverse(esk1_0),relation_rng(esk1_0))),esk8_2(relation_inverse(esk1_0),relation_rng(esk1_0))),X1)
    | relation_rng(esk1_0) != relation_rng(X1)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    ( relation_rng(relation_inverse(esk1_0)) = relation_dom(esk1_0)
    | in(ordered_pair(esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))),esk2_3(relation_inverse(esk1_0),relation_rng(relation_inverse(esk1_0)),esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))))),X1)
    | X1 != esk1_0
    | ~ relation(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_35]),c_0_22]),c_0_17])]) ).

cnf(c_0_38,negated_conjecture,
    ( relation_rng(esk1_0) = relation_dom(relation_inverse(esk1_0))
    | in(ordered_pair(esk2_3(esk1_0,relation_rng(esk1_0),esk8_2(relation_inverse(esk1_0),relation_rng(esk1_0))),esk8_2(relation_inverse(esk1_0),relation_rng(esk1_0))),esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_36]),c_0_12])]) ).

cnf(c_0_39,plain,
    ( in(X3,X2)
    | ~ relation(X1)
    | X2 != relation_dom(X1)
    | ~ in(ordered_pair(X3,X4),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_40,negated_conjecture,
    ( relation_rng(relation_inverse(esk1_0)) = relation_dom(esk1_0)
    | in(ordered_pair(esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))),esk2_3(relation_inverse(esk1_0),relation_rng(relation_inverse(esk1_0)),esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))))),esk1_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_12]) ).

cnf(c_0_41,negated_conjecture,
    ( relation_rng(esk1_0) = relation_dom(relation_inverse(esk1_0))
    | in(ordered_pair(esk8_2(relation_inverse(esk1_0),relation_rng(esk1_0)),esk2_3(esk1_0,relation_rng(esk1_0),esk8_2(relation_inverse(esk1_0),relation_rng(esk1_0)))),X1)
    | X1 != relation_inverse(esk1_0)
    | ~ relation(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_38]),c_0_12])]) ).

cnf(c_0_42,negated_conjecture,
    ( relation_rng(relation_inverse(esk1_0)) = relation_dom(esk1_0)
    | in(esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))),X1)
    | X1 != relation_dom(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_12])]) ).

cnf(c_0_43,plain,
    ( X2 = relation_dom(X1)
    | ~ relation(X1)
    | ~ in(ordered_pair(esk8_2(X1,X2),X3),X1)
    | ~ in(esk8_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_44,negated_conjecture,
    ( relation_rng(esk1_0) = relation_dom(relation_inverse(esk1_0))
    | in(ordered_pair(esk8_2(relation_inverse(esk1_0),relation_rng(esk1_0)),esk2_3(esk1_0,relation_rng(esk1_0),esk8_2(relation_inverse(esk1_0),relation_rng(esk1_0)))),relation_inverse(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_41]),c_0_17])]) ).

cnf(c_0_45,plain,
    ( in(ordered_pair(X3,esk7_3(X1,X2,X3)),X1)
    | ~ relation(X1)
    | X2 != relation_dom(X1)
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_46,negated_conjecture,
    ( relation_rng(relation_inverse(esk1_0)) = relation_dom(esk1_0)
    | in(esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))),relation_dom(esk1_0)) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    ( relation_dom(esk1_0) != relation_rng(relation_inverse(esk1_0))
    | relation_rng(esk1_0) != relation_dom(relation_inverse(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_48,negated_conjecture,
    relation_rng(esk1_0) = relation_dom(relation_inverse(esk1_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_17])]),c_0_34]) ).

cnf(c_0_49,negated_conjecture,
    ( relation_rng(relation_inverse(esk1_0)) = relation_dom(esk1_0)
    | in(ordered_pair(esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))),esk7_3(X1,relation_dom(esk1_0),esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))))),X1)
    | relation_dom(esk1_0) != relation_dom(X1)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    relation_rng(relation_inverse(esk1_0)) != relation_dom(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).

cnf(c_0_51,negated_conjecture,
    in(ordered_pair(esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))),esk7_3(esk1_0,relation_dom(esk1_0),esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))))),esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_49]),c_0_12])]),c_0_50]) ).

cnf(c_0_52,negated_conjecture,
    ~ in(esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))),relation_rng(relation_inverse(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_51]),c_0_12])]),c_0_50]) ).

cnf(c_0_53,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_31,c_0_50]),c_0_52]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU181+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n024.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 19:32:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/2.41  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.22/2.41  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.22/2.41  # Preprocessing time       : 0.016 s
% 0.22/2.41  
% 0.22/2.41  # Proof found!
% 0.22/2.41  # SZS status Theorem
% 0.22/2.41  # SZS output start CNFRefutation
% See solution above
% 0.22/2.41  # Proof object total steps             : 54
% 0.22/2.41  # Proof object clause steps            : 41
% 0.22/2.41  # Proof object formula steps           : 13
% 0.22/2.41  # Proof object conjectures             : 35
% 0.22/2.41  # Proof object clause conjectures      : 32
% 0.22/2.41  # Proof object formula conjectures     : 3
% 0.22/2.41  # Proof object initial clauses used    : 11
% 0.22/2.41  # Proof object initial formulas used   : 6
% 0.22/2.41  # Proof object generating inferences   : 28
% 0.22/2.41  # Proof object simplifying inferences  : 37
% 0.22/2.41  # Training examples: 0 positive, 0 negative
% 0.22/2.41  # Parsed axioms                        : 39
% 0.22/2.41  # Removed by relevancy pruning/SinE    : 26
% 0.22/2.41  # Initial clauses                      : 24
% 0.22/2.41  # Removed in clause preprocessing      : 0
% 0.22/2.41  # Initial clauses in saturation        : 24
% 0.22/2.41  # Processed clauses                    : 4947
% 0.22/2.41  # ...of these trivial                  : 7
% 0.22/2.41  # ...subsumed                          : 1140
% 0.22/2.41  # ...remaining for further processing  : 3799
% 0.22/2.41  # Other redundant clauses eliminated   : 0
% 0.22/2.41  # Clauses deleted for lack of memory   : 0
% 0.22/2.41  # Backward-subsumed                    : 51
% 0.22/2.41  # Backward-rewritten                   : 1703
% 0.22/2.41  # Generated clauses                    : 6405
% 0.22/2.41  # ...of the previous two non-trivial   : 7743
% 0.22/2.41  # Contextual simplify-reflections      : 82
% 0.22/2.41  # Paramodulations                      : 5530
% 0.22/2.41  # Factorizations                       : 16
% 0.22/2.41  # Equation resolutions                 : 850
% 0.22/2.41  # Current number of processed clauses  : 2036
% 0.22/2.41  #    Positive orientable unit clauses  : 15
% 0.22/2.41  #    Positive unorientable unit clauses: 0
% 0.22/2.41  #    Negative unit clauses             : 14
% 0.22/2.41  #    Non-unit-clauses                  : 2007
% 0.22/2.41  # Current number of unprocessed clauses: 2045
% 0.22/2.41  # ...number of literals in the above   : 6828
% 0.22/2.41  # Current number of archived formulas  : 0
% 0.22/2.41  # Current number of archived clauses   : 1763
% 0.22/2.41  # Clause-clause subsumption calls (NU) : 578854
% 0.22/2.41  # Rec. Clause-clause subsumption calls : 293940
% 0.22/2.41  # Non-unit clause-clause subsumptions  : 1263
% 0.22/2.41  # Unit Clause-clause subsumption calls : 4957
% 0.22/2.41  # Rewrite failures with RHS unbound    : 0
% 0.22/2.41  # BW rewrite match attempts            : 24
% 0.22/2.41  # BW rewrite match successes           : 6
% 0.22/2.41  # Condensation attempts                : 0
% 0.22/2.41  # Condensation successes               : 0
% 0.22/2.41  # Termbank termtop insertions          : 241433
% 0.22/2.41  
% 0.22/2.41  # -------------------------------------------------
% 0.22/2.41  # User time                : 1.000 s
% 0.22/2.41  # System time              : 0.010 s
% 0.22/2.41  # Total time               : 1.010 s
% 0.22/2.41  # Maximum resident set size: 13552 pages
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.41  eprover: CPU time limit exceeded, terminating
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------