TSTP Solution File: SEU362+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU362+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art09.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 07:46:04 EST 2010

% Result   : Theorem 1.15s
% Output   : CNFRefutation 1.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   79 (  16 unt;   0 def)
%            Number of atoms       :  334 (  12 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives :  435 ( 180   ~; 180   |;  49   &)
%                                         (   3 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  146 (   2 sgn  75   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,axiom,
    ! [X1] :
      ( rel_str(X1)
     => ! [X2] :
          ( subrelstr(X2,X1)
         => rel_str(X2) ) ),
    file('/tmp/tmpOeDNZy/sel_SEU362+1.p_1',dt_m1_yellow_0) ).

fof(7,axiom,
    ! [X1,X2,X3] :
      ~ ( in(X1,X2)
        & element(X2,powerset(X3))
        & empty(X3) ),
    file('/tmp/tmpOeDNZy/sel_SEU362+1.p_1',t5_subset) ).

fof(14,axiom,
    ! [X1,X2,X3] :
      ( ( in(X1,X2)
        & element(X2,powerset(X3)) )
     => element(X1,X3) ),
    file('/tmp/tmpOeDNZy/sel_SEU362+1.p_1',t4_subset) ).

fof(16,conjecture,
    ! [X1] :
      ( rel_str(X1)
     => ! [X2] :
          ( subrelstr(X2,X1)
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => ! [X4] :
                  ( element(X4,the_carrier(X1))
                 => ! [X5] :
                      ( element(X5,the_carrier(X2))
                     => ! [X6] :
                          ( element(X6,the_carrier(X2))
                         => ( ( X5 = X3
                              & X6 = X4
                              & related(X2,X5,X6) )
                           => related(X1,X3,X4) ) ) ) ) ) ) ),
    file('/tmp/tmpOeDNZy/sel_SEU362+1.p_1',t60_yellow_0) ).

fof(17,axiom,
    ! [X1] :
      ( rel_str(X1)
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => ( related(X1,X2,X3)
              <=> in(ordered_pair(X2,X3),the_InternalRel(X1)) ) ) ) ),
    file('/tmp/tmpOeDNZy/sel_SEU362+1.p_1',d9_orders_2) ).

fof(29,axiom,
    ! [X1,X2] :
      ( element(X1,X2)
     => ( empty(X2)
        | in(X1,X2) ) ),
    file('/tmp/tmpOeDNZy/sel_SEU362+1.p_1',t2_subset) ).

fof(33,axiom,
    ! [X1,X2] :
      ( element(X1,powerset(X2))
    <=> subset(X1,X2) ),
    file('/tmp/tmpOeDNZy/sel_SEU362+1.p_1',t3_subset) ).

fof(40,axiom,
    ! [X1] :
      ( rel_str(X1)
     => ! [X2] :
          ( rel_str(X2)
         => ( subrelstr(X2,X1)
          <=> ( subset(the_carrier(X2),the_carrier(X1))
              & subset(the_InternalRel(X2),the_InternalRel(X1)) ) ) ) ),
    file('/tmp/tmpOeDNZy/sel_SEU362+1.p_1',d13_yellow_0) ).

fof(43,negated_conjecture,
    ~ ! [X1] :
        ( rel_str(X1)
       => ! [X2] :
            ( subrelstr(X2,X1)
           => ! [X3] :
                ( element(X3,the_carrier(X1))
               => ! [X4] :
                    ( element(X4,the_carrier(X1))
                   => ! [X5] :
                        ( element(X5,the_carrier(X2))
                       => ! [X6] :
                            ( element(X6,the_carrier(X2))
                           => ( ( X5 = X3
                                & X6 = X4
                                & related(X2,X5,X6) )
                             => related(X1,X3,X4) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[16]) ).

fof(60,plain,
    ! [X1] :
      ( ~ rel_str(X1)
      | ! [X2] :
          ( ~ subrelstr(X2,X1)
          | rel_str(X2) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(61,plain,
    ! [X3] :
      ( ~ rel_str(X3)
      | ! [X4] :
          ( ~ subrelstr(X4,X3)
          | rel_str(X4) ) ),
    inference(variable_rename,[status(thm)],[60]) ).

fof(62,plain,
    ! [X3,X4] :
      ( ~ subrelstr(X4,X3)
      | rel_str(X4)
      | ~ rel_str(X3) ),
    inference(shift_quantors,[status(thm)],[61]) ).

cnf(63,plain,
    ( rel_str(X2)
    | ~ rel_str(X1)
    | ~ subrelstr(X2,X1) ),
    inference(split_conjunct,[status(thm)],[62]) ).

fof(70,plain,
    ! [X1,X2,X3] :
      ( ~ in(X1,X2)
      | ~ element(X2,powerset(X3))
      | ~ empty(X3) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(71,plain,
    ! [X4,X5,X6] :
      ( ~ in(X4,X5)
      | ~ element(X5,powerset(X6))
      | ~ empty(X6) ),
    inference(variable_rename,[status(thm)],[70]) ).

cnf(72,plain,
    ( ~ empty(X1)
    | ~ element(X2,powerset(X1))
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[71]) ).

fof(89,plain,
    ! [X1,X2,X3] :
      ( ~ in(X1,X2)
      | ~ element(X2,powerset(X3))
      | element(X1,X3) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(90,plain,
    ! [X4,X5,X6] :
      ( ~ in(X4,X5)
      | ~ element(X5,powerset(X6))
      | element(X4,X6) ),
    inference(variable_rename,[status(thm)],[89]) ).

cnf(91,plain,
    ( element(X1,X2)
    | ~ element(X3,powerset(X2))
    | ~ in(X1,X3) ),
    inference(split_conjunct,[status(thm)],[90]) ).

fof(95,negated_conjecture,
    ? [X1] :
      ( rel_str(X1)
      & ? [X2] :
          ( subrelstr(X2,X1)
          & ? [X3] :
              ( element(X3,the_carrier(X1))
              & ? [X4] :
                  ( element(X4,the_carrier(X1))
                  & ? [X5] :
                      ( element(X5,the_carrier(X2))
                      & ? [X6] :
                          ( element(X6,the_carrier(X2))
                          & X5 = X3
                          & X6 = X4
                          & related(X2,X5,X6)
                          & ~ related(X1,X3,X4) ) ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[43]) ).

fof(96,negated_conjecture,
    ? [X7] :
      ( rel_str(X7)
      & ? [X8] :
          ( subrelstr(X8,X7)
          & ? [X9] :
              ( element(X9,the_carrier(X7))
              & ? [X10] :
                  ( element(X10,the_carrier(X7))
                  & ? [X11] :
                      ( element(X11,the_carrier(X8))
                      & ? [X12] :
                          ( element(X12,the_carrier(X8))
                          & X11 = X9
                          & X12 = X10
                          & related(X8,X11,X12)
                          & ~ related(X7,X9,X10) ) ) ) ) ) ),
    inference(variable_rename,[status(thm)],[95]) ).

fof(97,negated_conjecture,
    ( rel_str(esk3_0)
    & subrelstr(esk4_0,esk3_0)
    & element(esk5_0,the_carrier(esk3_0))
    & element(esk6_0,the_carrier(esk3_0))
    & element(esk7_0,the_carrier(esk4_0))
    & element(esk8_0,the_carrier(esk4_0))
    & esk7_0 = esk5_0
    & esk8_0 = esk6_0
    & related(esk4_0,esk7_0,esk8_0)
    & ~ related(esk3_0,esk5_0,esk6_0) ),
    inference(skolemize,[status(esa)],[96]) ).

cnf(98,negated_conjecture,
    ~ related(esk3_0,esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[97]) ).

cnf(99,negated_conjecture,
    related(esk4_0,esk7_0,esk8_0),
    inference(split_conjunct,[status(thm)],[97]) ).

cnf(100,negated_conjecture,
    esk8_0 = esk6_0,
    inference(split_conjunct,[status(thm)],[97]) ).

cnf(101,negated_conjecture,
    esk7_0 = esk5_0,
    inference(split_conjunct,[status(thm)],[97]) ).

cnf(102,negated_conjecture,
    element(esk8_0,the_carrier(esk4_0)),
    inference(split_conjunct,[status(thm)],[97]) ).

cnf(103,negated_conjecture,
    element(esk7_0,the_carrier(esk4_0)),
    inference(split_conjunct,[status(thm)],[97]) ).

cnf(104,negated_conjecture,
    element(esk6_0,the_carrier(esk3_0)),
    inference(split_conjunct,[status(thm)],[97]) ).

cnf(105,negated_conjecture,
    element(esk5_0,the_carrier(esk3_0)),
    inference(split_conjunct,[status(thm)],[97]) ).

cnf(106,negated_conjecture,
    subrelstr(esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[97]) ).

cnf(107,negated_conjecture,
    rel_str(esk3_0),
    inference(split_conjunct,[status(thm)],[97]) ).

fof(108,plain,
    ! [X1] :
      ( ~ rel_str(X1)
      | ! [X2] :
          ( ~ element(X2,the_carrier(X1))
          | ! [X3] :
              ( ~ element(X3,the_carrier(X1))
              | ( ( ~ related(X1,X2,X3)
                  | in(ordered_pair(X2,X3),the_InternalRel(X1)) )
                & ( ~ in(ordered_pair(X2,X3),the_InternalRel(X1))
                  | related(X1,X2,X3) ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[17]) ).

fof(109,plain,
    ! [X4] :
      ( ~ rel_str(X4)
      | ! [X5] :
          ( ~ element(X5,the_carrier(X4))
          | ! [X6] :
              ( ~ element(X6,the_carrier(X4))
              | ( ( ~ related(X4,X5,X6)
                  | in(ordered_pair(X5,X6),the_InternalRel(X4)) )
                & ( ~ in(ordered_pair(X5,X6),the_InternalRel(X4))
                  | related(X4,X5,X6) ) ) ) ) ),
    inference(variable_rename,[status(thm)],[108]) ).

fof(110,plain,
    ! [X4,X5,X6] :
      ( ~ element(X6,the_carrier(X4))
      | ( ( ~ related(X4,X5,X6)
          | in(ordered_pair(X5,X6),the_InternalRel(X4)) )
        & ( ~ in(ordered_pair(X5,X6),the_InternalRel(X4))
          | related(X4,X5,X6) ) )
      | ~ element(X5,the_carrier(X4))
      | ~ rel_str(X4) ),
    inference(shift_quantors,[status(thm)],[109]) ).

fof(111,plain,
    ! [X4,X5,X6] :
      ( ( ~ related(X4,X5,X6)
        | in(ordered_pair(X5,X6),the_InternalRel(X4))
        | ~ element(X6,the_carrier(X4))
        | ~ element(X5,the_carrier(X4))
        | ~ rel_str(X4) )
      & ( ~ in(ordered_pair(X5,X6),the_InternalRel(X4))
        | related(X4,X5,X6)
        | ~ element(X6,the_carrier(X4))
        | ~ element(X5,the_carrier(X4))
        | ~ rel_str(X4) ) ),
    inference(distribute,[status(thm)],[110]) ).

cnf(112,plain,
    ( related(X1,X2,X3)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ in(ordered_pair(X2,X3),the_InternalRel(X1)) ),
    inference(split_conjunct,[status(thm)],[111]) ).

cnf(113,plain,
    ( in(ordered_pair(X2,X3),the_InternalRel(X1))
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[111]) ).

fof(143,plain,
    ! [X1,X2] :
      ( ~ element(X1,X2)
      | empty(X2)
      | in(X1,X2) ),
    inference(fof_nnf,[status(thm)],[29]) ).

fof(144,plain,
    ! [X3,X4] :
      ( ~ element(X3,X4)
      | empty(X4)
      | in(X3,X4) ),
    inference(variable_rename,[status(thm)],[143]) ).

cnf(145,plain,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    inference(split_conjunct,[status(thm)],[144]) ).

fof(151,plain,
    ! [X1,X2] :
      ( ( ~ element(X1,powerset(X2))
        | subset(X1,X2) )
      & ( ~ subset(X1,X2)
        | element(X1,powerset(X2)) ) ),
    inference(fof_nnf,[status(thm)],[33]) ).

fof(152,plain,
    ! [X3,X4] :
      ( ( ~ element(X3,powerset(X4))
        | subset(X3,X4) )
      & ( ~ subset(X3,X4)
        | element(X3,powerset(X4)) ) ),
    inference(variable_rename,[status(thm)],[151]) ).

cnf(153,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[152]) ).

fof(173,plain,
    ! [X1] :
      ( ~ rel_str(X1)
      | ! [X2] :
          ( ~ rel_str(X2)
          | ( ( ~ subrelstr(X2,X1)
              | ( subset(the_carrier(X2),the_carrier(X1))
                & subset(the_InternalRel(X2),the_InternalRel(X1)) ) )
            & ( ~ subset(the_carrier(X2),the_carrier(X1))
              | ~ subset(the_InternalRel(X2),the_InternalRel(X1))
              | subrelstr(X2,X1) ) ) ) ),
    inference(fof_nnf,[status(thm)],[40]) ).

fof(174,plain,
    ! [X3] :
      ( ~ rel_str(X3)
      | ! [X4] :
          ( ~ rel_str(X4)
          | ( ( ~ subrelstr(X4,X3)
              | ( subset(the_carrier(X4),the_carrier(X3))
                & subset(the_InternalRel(X4),the_InternalRel(X3)) ) )
            & ( ~ subset(the_carrier(X4),the_carrier(X3))
              | ~ subset(the_InternalRel(X4),the_InternalRel(X3))
              | subrelstr(X4,X3) ) ) ) ),
    inference(variable_rename,[status(thm)],[173]) ).

fof(175,plain,
    ! [X3,X4] :
      ( ~ rel_str(X4)
      | ( ( ~ subrelstr(X4,X3)
          | ( subset(the_carrier(X4),the_carrier(X3))
            & subset(the_InternalRel(X4),the_InternalRel(X3)) ) )
        & ( ~ subset(the_carrier(X4),the_carrier(X3))
          | ~ subset(the_InternalRel(X4),the_InternalRel(X3))
          | subrelstr(X4,X3) ) )
      | ~ rel_str(X3) ),
    inference(shift_quantors,[status(thm)],[174]) ).

fof(176,plain,
    ! [X3,X4] :
      ( ( subset(the_carrier(X4),the_carrier(X3))
        | ~ subrelstr(X4,X3)
        | ~ rel_str(X4)
        | ~ rel_str(X3) )
      & ( subset(the_InternalRel(X4),the_InternalRel(X3))
        | ~ subrelstr(X4,X3)
        | ~ rel_str(X4)
        | ~ rel_str(X3) )
      & ( ~ subset(the_carrier(X4),the_carrier(X3))
        | ~ subset(the_InternalRel(X4),the_InternalRel(X3))
        | subrelstr(X4,X3)
        | ~ rel_str(X4)
        | ~ rel_str(X3) ) ),
    inference(distribute,[status(thm)],[175]) ).

cnf(178,plain,
    ( subset(the_InternalRel(X2),the_InternalRel(X1))
    | ~ rel_str(X1)
    | ~ rel_str(X2)
    | ~ subrelstr(X2,X1) ),
    inference(split_conjunct,[status(thm)],[176]) ).

cnf(187,negated_conjecture,
    element(esk8_0,the_carrier(esk3_0)),
    inference(rw,[status(thm)],[104,100,theory(equality)]) ).

cnf(188,negated_conjecture,
    element(esk5_0,the_carrier(esk4_0)),
    inference(rw,[status(thm)],[103,101,theory(equality)]) ).

cnf(189,negated_conjecture,
    related(esk4_0,esk5_0,esk8_0),
    inference(rw,[status(thm)],[99,101,theory(equality)]) ).

cnf(190,negated_conjecture,
    ~ related(esk3_0,esk5_0,esk8_0),
    inference(rw,[status(thm)],[98,100,theory(equality)]) ).

cnf(223,plain,
    ( subset(the_InternalRel(X2),the_InternalRel(X1))
    | ~ subrelstr(X2,X1)
    | ~ rel_str(X1) ),
    inference(csr,[status(thm)],[178,63]) ).

cnf(224,plain,
    ( element(the_InternalRel(X1),powerset(the_InternalRel(X2)))
    | ~ subrelstr(X1,X2)
    | ~ rel_str(X2) ),
    inference(spm,[status(thm)],[153,223,theory(equality)]) ).

cnf(230,plain,
    ( related(X1,X2,X3)
    | empty(the_InternalRel(X1))
    | ~ rel_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ element(ordered_pair(X2,X3),the_InternalRel(X1)) ),
    inference(spm,[status(thm)],[112,145,theory(equality)]) ).

cnf(388,plain,
    ( element(X1,the_InternalRel(X2))
    | ~ in(X1,the_InternalRel(X3))
    | ~ subrelstr(X3,X2)
    | ~ rel_str(X2) ),
    inference(spm,[status(thm)],[91,224,theory(equality)]) ).

cnf(389,plain,
    ( ~ in(X1,the_InternalRel(X2))
    | ~ empty(the_InternalRel(X3))
    | ~ subrelstr(X2,X3)
    | ~ rel_str(X3) ),
    inference(spm,[status(thm)],[72,224,theory(equality)]) ).

cnf(426,plain,
    ( ~ subrelstr(X3,X4)
    | ~ rel_str(X4)
    | ~ empty(the_InternalRel(X4))
    | ~ related(X3,X1,X2)
    | ~ rel_str(X3)
    | ~ element(X2,the_carrier(X3))
    | ~ element(X1,the_carrier(X3)) ),
    inference(spm,[status(thm)],[389,113,theory(equality)]) ).

cnf(1551,plain,
    ( element(ordered_pair(X1,X2),the_InternalRel(X3))
    | ~ subrelstr(X4,X3)
    | ~ rel_str(X3)
    | ~ related(X4,X1,X2)
    | ~ rel_str(X4)
    | ~ element(X2,the_carrier(X4))
    | ~ element(X1,the_carrier(X4)) ),
    inference(spm,[status(thm)],[388,113,theory(equality)]) ).

cnf(1816,plain,
    ( ~ related(X3,X1,X2)
    | ~ subrelstr(X3,X4)
    | ~ rel_str(X4)
    | ~ element(X2,the_carrier(X3))
    | ~ element(X1,the_carrier(X3))
    | ~ empty(the_InternalRel(X4)) ),
    inference(csr,[status(thm)],[426,63]) ).

cnf(1817,negated_conjecture,
    ( ~ subrelstr(esk4_0,X1)
    | ~ rel_str(X1)
    | ~ element(esk8_0,the_carrier(esk4_0))
    | ~ element(esk5_0,the_carrier(esk4_0))
    | ~ empty(the_InternalRel(X1)) ),
    inference(spm,[status(thm)],[1816,189,theory(equality)]) ).

cnf(1818,negated_conjecture,
    ( ~ subrelstr(esk4_0,X1)
    | ~ rel_str(X1)
    | $false
    | ~ element(esk5_0,the_carrier(esk4_0))
    | ~ empty(the_InternalRel(X1)) ),
    inference(rw,[status(thm)],[1817,102,theory(equality)]) ).

cnf(1819,negated_conjecture,
    ( ~ subrelstr(esk4_0,X1)
    | ~ rel_str(X1)
    | $false
    | $false
    | ~ empty(the_InternalRel(X1)) ),
    inference(rw,[status(thm)],[1818,188,theory(equality)]) ).

cnf(1820,negated_conjecture,
    ( ~ subrelstr(esk4_0,X1)
    | ~ rel_str(X1)
    | ~ empty(the_InternalRel(X1)) ),
    inference(cn,[status(thm)],[1819,theory(equality)]) ).

cnf(11358,plain,
    ( element(ordered_pair(X1,X2),the_InternalRel(X3))
    | ~ related(X4,X1,X2)
    | ~ subrelstr(X4,X3)
    | ~ rel_str(X3)
    | ~ element(X2,the_carrier(X4))
    | ~ element(X1,the_carrier(X4)) ),
    inference(csr,[status(thm)],[1551,63]) ).

cnf(11359,negated_conjecture,
    ( element(ordered_pair(esk5_0,esk8_0),the_InternalRel(X1))
    | ~ subrelstr(esk4_0,X1)
    | ~ rel_str(X1)
    | ~ element(esk8_0,the_carrier(esk4_0))
    | ~ element(esk5_0,the_carrier(esk4_0)) ),
    inference(spm,[status(thm)],[11358,189,theory(equality)]) ).

cnf(11360,negated_conjecture,
    ( element(ordered_pair(esk5_0,esk8_0),the_InternalRel(X1))
    | ~ subrelstr(esk4_0,X1)
    | ~ rel_str(X1)
    | $false
    | ~ element(esk5_0,the_carrier(esk4_0)) ),
    inference(rw,[status(thm)],[11359,102,theory(equality)]) ).

cnf(11361,negated_conjecture,
    ( element(ordered_pair(esk5_0,esk8_0),the_InternalRel(X1))
    | ~ subrelstr(esk4_0,X1)
    | ~ rel_str(X1)
    | $false
    | $false ),
    inference(rw,[status(thm)],[11360,188,theory(equality)]) ).

cnf(11362,negated_conjecture,
    ( element(ordered_pair(esk5_0,esk8_0),the_InternalRel(X1))
    | ~ subrelstr(esk4_0,X1)
    | ~ rel_str(X1) ),
    inference(cn,[status(thm)],[11361,theory(equality)]) ).

cnf(11374,negated_conjecture,
    ( related(X1,esk5_0,esk8_0)
    | empty(the_InternalRel(X1))
    | ~ rel_str(X1)
    | ~ element(esk8_0,the_carrier(X1))
    | ~ element(esk5_0,the_carrier(X1))
    | ~ subrelstr(esk4_0,X1) ),
    inference(spm,[status(thm)],[230,11362,theory(equality)]) ).

cnf(11386,negated_conjecture,
    ( related(X1,esk5_0,esk8_0)
    | ~ subrelstr(esk4_0,X1)
    | ~ rel_str(X1)
    | ~ element(esk8_0,the_carrier(X1))
    | ~ element(esk5_0,the_carrier(X1)) ),
    inference(csr,[status(thm)],[11374,1820]) ).

cnf(11387,negated_conjecture,
    ( ~ subrelstr(esk4_0,esk3_0)
    | ~ rel_str(esk3_0)
    | ~ element(esk8_0,the_carrier(esk3_0))
    | ~ element(esk5_0,the_carrier(esk3_0)) ),
    inference(spm,[status(thm)],[190,11386,theory(equality)]) ).

cnf(11391,negated_conjecture,
    ( $false
    | ~ rel_str(esk3_0)
    | ~ element(esk8_0,the_carrier(esk3_0))
    | ~ element(esk5_0,the_carrier(esk3_0)) ),
    inference(rw,[status(thm)],[11387,106,theory(equality)]) ).

cnf(11392,negated_conjecture,
    ( $false
    | $false
    | ~ element(esk8_0,the_carrier(esk3_0))
    | ~ element(esk5_0,the_carrier(esk3_0)) ),
    inference(rw,[status(thm)],[11391,107,theory(equality)]) ).

cnf(11393,negated_conjecture,
    ( $false
    | $false
    | $false
    | ~ element(esk5_0,the_carrier(esk3_0)) ),
    inference(rw,[status(thm)],[11392,187,theory(equality)]) ).

cnf(11394,negated_conjecture,
    ( $false
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[11393,105,theory(equality)]) ).

cnf(11395,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[11394,theory(equality)]) ).

cnf(11396,negated_conjecture,
    $false,
    11395,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU362+1.p
% --creating new selector for []
% -running prover on /tmp/tmpOeDNZy/sel_SEU362+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU362+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU362+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU362+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------