TSTP Solution File: SEU181+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU181+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 0.40s 28.58s
% Output   : CNFRefutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   61 (   4 unt;   0 def)
%            Number of atoms       :  299 ( 109 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  423 ( 185   ~; 208   |;  14   &)
%                                         (   6 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 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   :  146 (  10 sgn  42   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox2/solver/bin/../tmp/theBenchmark.p',d7_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/sandbox2/solver/bin/../tmp/theBenchmark.p',d5_relat_1) ).

fof(t20_relat_1,lemma,
    ! [X1,X2,X3] :
      ( relation(X3)
     => ( in(ordered_pair(X1,X2),X3)
       => ( in(X1,relation_dom(X3))
          & in(X2,relation_rng(X3)) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t20_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/sandbox2/solver/bin/../tmp/theBenchmark.p',d4_relat_1) ).

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/sandbox2/solver/bin/../tmp/theBenchmark.p',t37_relat_1) ).

fof(involutiveness_k4_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => relation_inverse(relation_inverse(X1)) = X1 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',involutiveness_k4_relat_1) ).

fof(dt_k4_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => relation(relation_inverse(X1)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k4_relat_1) ).

fof(c_0_7,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])])])])])])]) ).

fof(c_0_8,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])])])])])])]) ).

fof(c_0_9,lemma,
    ! [X4,X5,X6] :
      ( ( in(X4,relation_dom(X6))
        | ~ in(ordered_pair(X4,X5),X6)
        | ~ relation(X6) )
      & ( in(X5,relation_rng(X6))
        | ~ in(ordered_pair(X4,X5),X6)
        | ~ relation(X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])]) ).

fof(c_0_10,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_11,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]) ).

cnf(c_0_12,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_7]) ).

cnf(c_0_13,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_8]) ).

cnf(c_0_14,lemma,
    ( in(X2,relation_dom(X1))
    | ~ relation(X1)
    | ~ in(ordered_pair(X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,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_10]) ).

fof(c_0_16,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_11])])]) ).

cnf(c_0_17,plain,
    ( in(ordered_pair(X3,X4),X1)
    | ~ relation(X1)
    | ~ relation(X2)
    | X2 != relation_inverse(X1)
    | ~ in(ordered_pair(X4,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_18,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_10]) ).

cnf(c_0_19,lemma,
    ( in(X3,relation_rng(X1))
    | ~ relation(X1)
    | ~ in(ordered_pair(X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_20,plain,
    ( X2 = relation_rng(X1)
    | in(ordered_pair(esk4_2(X1,X2),esk3_2(X1,X2)),X1)
    | in(esk3_2(X1,X2),X2)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_21,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_10]) ).

cnf(c_0_22,plain,
    ( in(ordered_pair(X1,esk2_3(X2,X3,X1)),X4)
    | X4 != relation_inverse(X2)
    | X3 != relation_rng(X2)
    | ~ relation(X4)
    | ~ relation(X2)
    | ~ in(X1,X3) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_23,lemma,
    ( X1 = relation_dom(X2)
    | in(esk8_2(X2,X1),relation_dom(X2))
    | in(esk8_2(X2,X1),X1)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    relation(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,plain,
    ( X2 = relation_rng(X1)
    | ~ relation(X1)
    | ~ in(ordered_pair(X3,esk3_2(X1,X2)),X1)
    | ~ in(esk3_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_26,plain,
    ( in(ordered_pair(esk7_3(X1,X2,X3),X3),X4)
    | X1 != relation_inverse(X4)
    | X2 != relation_dom(X1)
    | ~ relation(X1)
    | ~ relation(X4)
    | ~ in(X3,X2) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_27,lemma,
    ( X1 = relation_rng(X2)
    | in(esk3_2(X2,X1),relation_rng(X2))
    | in(esk3_2(X2,X1),X1)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_28,plain,
    ( X1 = relation_dom(X2)
    | X2 != relation_inverse(X3)
    | X4 != relation_rng(X3)
    | ~ relation(X2)
    | ~ relation(X3)
    | ~ in(esk8_2(X2,X1),X1)
    | ~ in(esk8_2(X2,X1),X4) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_29,negated_conjecture,
    ( X1 = relation_dom(esk1_0)
    | in(esk8_2(esk1_0,X1),relation_dom(esk1_0))
    | in(esk8_2(esk1_0,X1),X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,plain,
    ( X1 = relation_rng(X2)
    | X3 != relation_inverse(X2)
    | X4 != relation_dom(X3)
    | ~ relation(X2)
    | ~ relation(X3)
    | ~ in(esk3_2(X2,X1),X1)
    | ~ in(esk3_2(X2,X1),X4) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    ( X1 = relation_rng(esk1_0)
    | in(esk3_2(esk1_0,X1),relation_rng(esk1_0))
    | in(esk3_2(esk1_0,X1),X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_24]) ).

cnf(c_0_32,negated_conjecture,
    ( X1 = relation_dom(esk1_0)
    | in(esk8_2(esk1_0,X1),relation_dom(esk1_0))
    | relation_inverse(X2) != esk1_0
    | X3 != relation_rng(X2)
    | ~ relation(X2)
    | ~ in(esk8_2(esk1_0,X1),X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_24])]) ).

cnf(c_0_33,negated_conjecture,
    ( X1 = relation_rng(esk1_0)
    | in(esk3_2(esk1_0,X1),relation_rng(esk1_0))
    | X2 != relation_inverse(esk1_0)
    | X3 != relation_dom(X2)
    | ~ relation(X2)
    | ~ in(esk3_2(esk1_0,X1),X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_24])]) ).

cnf(c_0_34,plain,
    ( in(ordered_pair(esk7_3(X1,X2,X3),X3),X4)
    | X4 != relation_inverse(X1)
    | X2 != relation_dom(X1)
    | ~ relation(X4)
    | ~ relation(X1)
    | ~ in(X3,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_18]) ).

cnf(c_0_35,negated_conjecture,
    ( X1 = relation_dom(esk1_0)
    | in(esk8_2(esk1_0,X1),relation_dom(esk1_0))
    | relation_inverse(X2) != esk1_0
    | X1 != relation_rng(X2)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_29]) ).

cnf(c_0_36,negated_conjecture,
    ( X1 = relation_rng(esk1_0)
    | in(esk3_2(esk1_0,X1),relation_rng(esk1_0))
    | X2 != relation_inverse(esk1_0)
    | X1 != relation_dom(X2)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_31]) ).

cnf(c_0_37,lemma,
    ( in(X1,relation_rng(X2))
    | X2 != relation_inverse(X3)
    | X4 != relation_dom(X3)
    | ~ relation(X2)
    | ~ relation(X3)
    | ~ in(X1,X4) ),
    inference(spm,[status(thm)],[c_0_19,c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    ( relation_rng(X1) = relation_dom(esk1_0)
    | in(esk8_2(esk1_0,relation_rng(X1)),relation_dom(esk1_0))
    | relation_inverse(X1) != esk1_0
    | ~ relation(X1) ),
    inference(er,[status(thm)],[c_0_35]) ).

fof(c_0_39,plain,
    ! [X2] :
      ( ~ relation(X2)
      | relation_inverse(relation_inverse(X2)) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1])]) ).

fof(c_0_40,plain,
    ! [X2] :
      ( ~ relation(X2)
      | relation(relation_inverse(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relat_1])]) ).

cnf(c_0_41,lemma,
    ( in(X1,relation_dom(X2))
    | X2 != relation_inverse(X3)
    | X4 != relation_rng(X3)
    | ~ relation(X2)
    | ~ relation(X3)
    | ~ in(X1,X4) ),
    inference(spm,[status(thm)],[c_0_14,c_0_22]) ).

cnf(c_0_42,negated_conjecture,
    ( X1 = relation_rng(esk1_0)
    | in(esk3_2(esk1_0,X1),relation_rng(esk1_0))
    | X1 != relation_dom(relation_inverse(esk1_0))
    | ~ relation(relation_inverse(esk1_0)) ),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_43,lemma,
    ( relation_rng(X1) = relation_dom(esk1_0)
    | in(esk8_2(esk1_0,relation_rng(X1)),relation_rng(X2))
    | relation_dom(esk1_0) != relation_dom(X3)
    | relation_inverse(X1) != esk1_0
    | X2 != relation_inverse(X3)
    | ~ relation(X2)
    | ~ relation(X3)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,plain,
    ( relation_inverse(relation_inverse(X1)) = X1
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_45,plain,
    ( relation(relation_inverse(X1))
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_46,lemma,
    ( X1 = relation_rng(esk1_0)
    | in(esk3_2(esk1_0,X1),relation_dom(X2))
    | relation_rng(esk1_0) != relation_rng(X3)
    | X1 != relation_dom(relation_inverse(esk1_0))
    | X2 != relation_inverse(X3)
    | ~ relation(relation_inverse(esk1_0))
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,plain,
    ( X1 = relation_dom(X2)
    | X3 != relation_dom(X2)
    | ~ relation(X2)
    | ~ in(esk8_2(X2,X1),X1)
    | ~ in(esk8_2(X2,X1),X3) ),
    inference(spm,[status(thm)],[c_0_21,c_0_18]) ).

cnf(c_0_48,lemma,
    ( relation_rng(X1) = relation_dom(esk1_0)
    | in(esk8_2(esk1_0,relation_rng(X1)),relation_rng(X2))
    | relation_dom(relation_inverse(X2)) != relation_dom(esk1_0)
    | relation_inverse(X1) != esk1_0
    | ~ relation(X2)
    | ~ relation(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44])]),c_0_45]) ).

cnf(c_0_49,plain,
    ( X1 = relation_rng(X2)
    | X3 != relation_rng(X2)
    | ~ relation(X2)
    | ~ in(esk3_2(X2,X1),X1)
    | ~ in(esk3_2(X2,X1),X3) ),
    inference(spm,[status(thm)],[c_0_25,c_0_13]) ).

cnf(c_0_50,lemma,
    ( X1 = relation_rng(esk1_0)
    | in(esk3_2(esk1_0,X1),relation_dom(X2))
    | relation_rng(relation_inverse(X2)) != relation_rng(esk1_0)
    | X1 != relation_dom(relation_inverse(esk1_0))
    | ~ relation(relation_inverse(esk1_0))
    | ~ relation(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_44])]),c_0_45]) ).

cnf(c_0_51,lemma,
    ( relation_rng(X1) = relation_dom(esk1_0)
    | relation_dom(relation_inverse(X1)) != relation_dom(esk1_0)
    | X2 != relation_dom(esk1_0)
    | relation_inverse(X1) != esk1_0
    | ~ relation(X1)
    | ~ in(esk8_2(esk1_0,relation_rng(X1)),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_24])]) ).

cnf(c_0_52,lemma,
    ( relation_dom(X1) = relation_rng(esk1_0)
    | relation_rng(relation_inverse(X1)) != relation_rng(esk1_0)
    | relation_dom(X1) != relation_dom(relation_inverse(esk1_0))
    | X2 != relation_rng(esk1_0)
    | ~ relation(relation_inverse(esk1_0))
    | ~ relation(X1)
    | ~ in(esk3_2(esk1_0,relation_dom(X1)),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_24])]) ).

cnf(c_0_53,negated_conjecture,
    ( relation_rng(X1) = relation_dom(esk1_0)
    | relation_dom(relation_inverse(X1)) != relation_dom(esk1_0)
    | relation_inverse(X1) != esk1_0
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_38]) ).

cnf(c_0_54,negated_conjecture,
    ( relation_dom(X1) = relation_rng(esk1_0)
    | relation_rng(relation_inverse(X1)) != relation_rng(esk1_0)
    | relation_dom(X1) != relation_dom(relation_inverse(esk1_0))
    | ~ relation(relation_inverse(esk1_0))
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_42]) ).

cnf(c_0_55,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_16]) ).

cnf(c_0_56,negated_conjecture,
    ( relation_rng(relation_inverse(X1)) = relation_dom(esk1_0)
    | relation_dom(X1) != relation_dom(esk1_0)
    | X1 != esk1_0
    | ~ relation(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_44]),c_0_45]) ).

cnf(c_0_57,negated_conjecture,
    ( relation_dom(relation_inverse(X1)) = relation_rng(esk1_0)
    | relation_dom(relation_inverse(X1)) != relation_dom(relation_inverse(esk1_0))
    | relation_rng(X1) != relation_rng(esk1_0)
    | ~ relation(relation_inverse(esk1_0))
    | ~ relation(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_44]),c_0_45]) ).

cnf(c_0_58,negated_conjecture,
    relation_dom(relation_inverse(esk1_0)) != relation_rng(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_24])]) ).

cnf(c_0_59,negated_conjecture,
    ~ relation(relation_inverse(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_57]),c_0_24])]),c_0_58]) ).

cnf(c_0_60,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_45]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU181+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 19 07:52:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.38/23.40  eprover: CPU time limit exceeded, terminating
% 0.38/23.40  eprover: CPU time limit exceeded, terminating
% 0.38/23.40  eprover: CPU time limit exceeded, terminating
% 0.38/23.41  eprover: CPU time limit exceeded, terminating
% 0.40/28.58  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.40/28.58  
% 0.40/28.58  # Failure: Resource limit exceeded (time)
% 0.40/28.58  # OLD status Res
% 0.40/28.58  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.40/28.58  # Preprocessing time       : 0.021 s
% 0.40/28.58  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.40/28.58  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.40/28.58  # Preprocessing time       : 0.011 s
% 0.40/28.58  
% 0.40/28.58  # Proof found!
% 0.40/28.58  # SZS status Theorem
% 0.40/28.58  # SZS output start CNFRefutation
% See solution above
% 0.40/28.58  # Proof object total steps             : 61
% 0.40/28.58  # Proof object clause steps            : 46
% 0.40/28.58  # Proof object formula steps           : 15
% 0.40/28.58  # Proof object conjectures             : 20
% 0.40/28.58  # Proof object clause conjectures      : 17
% 0.40/28.58  # Proof object formula conjectures     : 3
% 0.40/28.58  # Proof object initial clauses used    : 14
% 0.40/28.58  # Proof object initial formulas used   : 7
% 0.40/28.58  # Proof object generating inferences   : 32
% 0.40/28.58  # Proof object simplifying inferences  : 21
% 0.40/28.58  # Training examples: 0 positive, 0 negative
% 0.40/28.58  # Parsed axioms                        : 154
% 0.40/28.58  # Removed by relevancy pruning/SinE    : 143
% 0.40/28.58  # Initial clauses                      : 24
% 0.40/28.58  # Removed in clause preprocessing      : 0
% 0.40/28.58  # Initial clauses in saturation        : 24
% 0.40/28.58  # Processed clauses                    : 5897
% 0.40/28.58  # ...of these trivial                  : 223
% 0.40/28.58  # ...subsumed                          : 2934
% 0.40/28.58  # ...remaining for further processing  : 2740
% 0.40/28.58  # Other redundant clauses eliminated   : 308
% 0.40/28.58  # Clauses deleted for lack of memory   : 0
% 0.40/28.58  # Backward-subsumed                    : 109
% 0.40/28.58  # Backward-rewritten                   : 0
% 0.40/28.58  # Generated clauses                    : 71282
% 0.40/28.58  # ...of the previous two non-trivial   : 70676
% 0.40/28.58  # Contextual simplify-reflections      : 6767
% 0.40/28.58  # Paramodulations                      : 70221
% 0.40/28.58  # Factorizations                       : 16
% 0.40/28.58  # Equation resolutions                 : 1045
% 0.40/28.58  # Current number of processed clauses  : 2631
% 0.40/28.58  #    Positive orientable unit clauses  : 3
% 0.40/28.58  #    Positive unorientable unit clauses: 0
% 0.40/28.58  #    Negative unit clauses             : 2
% 0.40/28.58  #    Non-unit-clauses                  : 2626
% 0.40/28.58  # Current number of unprocessed clauses: 60529
% 0.40/28.58  # ...number of literals in the above   : 728415
% 0.40/28.58  # Current number of archived formulas  : 0
% 0.40/28.58  # Current number of archived clauses   : 109
% 0.40/28.58  # Clause-clause subsumption calls (NU) : 1729652
% 0.40/28.58  # Rec. Clause-clause subsumption calls : 69638
% 0.40/28.58  # Non-unit clause-clause subsumptions  : 9810
% 0.40/28.58  # Unit Clause-clause subsumption calls : 1041
% 0.40/28.58  # Rewrite failures with RHS unbound    : 0
% 0.40/28.58  # BW rewrite match attempts            : 0
% 0.40/28.58  # BW rewrite match successes           : 0
% 0.40/28.58  # Condensation attempts                : 0
% 0.40/28.58  # Condensation successes               : 0
% 0.40/28.58  # Termbank termtop insertions          : 2611975
% 0.40/28.58  
% 0.40/28.58  # -------------------------------------------------
% 0.40/28.58  # User time                : 4.125 s
% 0.40/28.58  # System time              : 0.041 s
% 0.40/28.58  # Total time               : 4.166 s
% 0.40/28.58  # Maximum resident set size: 75052 pages
% 0.40/46.42  eprover: CPU time limit exceeded, terminating
% 0.40/46.42  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.40/46.42  
% 0.40/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.44  eprover: No such file or directory
% 0.40/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.44  eprover: No such file or directory
% 0.40/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.44  eprover: No such file or directory
% 0.40/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.44  eprover: No such file or directory
% 0.40/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.44  eprover: No such file or directory
% 0.40/46.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.44  eprover: No such file or directory
% 0.40/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.45  eprover: No such file or directory
% 0.40/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.45  eprover: No such file or directory
% 0.40/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.45  eprover: No such file or directory
% 0.40/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.45  eprover: No such file or directory
% 0.40/46.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.45  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47  eprover: No such file or directory
% 0.40/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47  eprover: No such file or directory
% 0.40/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47  eprover: No such file or directory
% 0.40/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47  eprover: No such file or directory
% 0.40/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47  eprover: No such file or directory
% 0.40/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48  eprover: No such file or directory
% 0.40/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48  eprover: No such file or directory
% 0.40/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48  eprover: No such file or directory
% 0.40/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48  eprover: No such file or directory
% 0.40/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48  eprover: No such file or directory
% 0.40/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48  eprover: No such file or directory
% 0.40/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.49  eprover: No such file or directory
%------------------------------------------------------------------------------