TSTP Solution File: SWV391+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWV391+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 12:35:11 EST 2010

% Result   : Theorem 240.04s
% Output   : CNFRefutation 240.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   78 (  10 unt;   0 def)
%            Number of atoms       :  240 (  18 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  265 ( 103   ~; 117   |;  31   &)
%                                         (   4 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   6 usr;   2 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :  225 (  15 sgn 130   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(12,axiom,
    ! [X1,X2,X3,X4] :
      ( ( contains_slb(X2,X4)
        & strictly_less_than(X4,lookup_slb(X2,X4)) )
     => remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad) ),
    file('/tmp/tmpgFEXy1/sel_SWV391+1.p_5',ax45) ).

fof(13,axiom,
    ! [X1,X2,X3,X4] :
      ( ( contains_slb(X2,X4)
        & less_than(lookup_slb(X2,X4),X4) )
     => remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),X3) ),
    file('/tmp/tmpgFEXy1/sel_SWV391+1.p_5',ax44) ).

fof(15,axiom,
    ! [X1,X2] :
      ( ok(triple(X1,X2,bad))
    <=> ~ $true ),
    file('/tmp/tmpgFEXy1/sel_SWV391+1.p_5',ax40) ).

fof(20,axiom,
    ! [X1,X2] :
      ( less_than(X1,X2)
      | less_than(X2,X1) ),
    file('/tmp/tmpgFEXy1/sel_SWV391+1.p_5',totality) ).

fof(21,axiom,
    ! [X1,X2] :
      ( strictly_less_than(X1,X2)
    <=> ( less_than(X1,X2)
        & ~ less_than(X2,X1) ) ),
    file('/tmp/tmpgFEXy1/sel_SWV391+1.p_5',stricly_smaller_definition) ).

fof(36,conjecture,
    ! [X1,X2,X3,X4] :
      ( ( check_cpq(remove_cpq(triple(X1,X2,X3),X4))
        & ok(remove_cpq(triple(X1,X2,X3),X4)) )
     => check_cpq(triple(X1,X2,X3)) ),
    file('/tmp/tmpgFEXy1/sel_SWV391+1.p_5',l27_co) ).

fof(37,axiom,
    ! [X1,X2,X3,X4] :
      ( ok(remove_cpq(triple(X1,X2,X3),X4))
     => contains_slb(X2,X4) ),
    file('/tmp/tmpgFEXy1/sel_SWV391+1.p_5',l27_l33) ).

fof(38,axiom,
    ! [X1,X2,X3,X4] :
      ( ( check_cpq(remove_cpq(triple(X1,X2,X3),X4))
        & ok(remove_cpq(triple(X1,X2,X3),X4)) )
     => ! [X5] :
          ( pair_in_list(X2,X4,X5)
         => less_than(X5,X4) ) ),
    file('/tmp/tmpgFEXy1/sel_SWV391+1.p_5',l27_l30) ).

fof(39,axiom,
    ! [X1,X2,X3] :
      ( check_cpq(triple(X1,X2,X3))
    <=> ! [X4,X5] :
          ( pair_in_list(X2,X4,X5)
         => less_than(X5,X4) ) ),
    file('/tmp/tmpgFEXy1/sel_SWV391+1.p_5',l27_li4142) ).

fof(40,axiom,
    ! [X1,X2,X3] :
      ( pair_in_list(X1,X2,X3)
     => ! [X4] :
          ( contains_slb(X1,X4)
         => ( pair_in_list(remove_slb(X1,X4),X2,X3)
            | X2 = X4 ) ) ),
    file('/tmp/tmpgFEXy1/sel_SWV391+1.p_5',l27_li2829) ).

fof(41,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ( check_cpq(remove_cpq(triple(X1,X2,X3),X4))
          & ok(remove_cpq(triple(X1,X2,X3),X4)) )
       => check_cpq(triple(X1,X2,X3)) ),
    inference(assume_negation,[status(cth)],[36]) ).

fof(44,plain,
    ! [X1,X2] :
      ( strictly_less_than(X1,X2)
    <=> ( less_than(X1,X2)
        & ~ less_than(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).

fof(83,plain,
    ! [X1,X2,X3,X4] :
      ( ~ contains_slb(X2,X4)
      | ~ strictly_less_than(X4,lookup_slb(X2,X4))
      | remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(84,plain,
    ! [X5,X6,X7,X8] :
      ( ~ contains_slb(X6,X8)
      | ~ strictly_less_than(X8,lookup_slb(X6,X8))
      | remove_cpq(triple(X5,X6,X7),X8) = triple(remove_pqp(X5,X8),remove_slb(X6,X8),bad) ),
    inference(variable_rename,[status(thm)],[83]) ).

cnf(85,plain,
    ( remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad)
    | ~ strictly_less_than(X4,lookup_slb(X2,X4))
    | ~ contains_slb(X2,X4) ),
    inference(split_conjunct,[status(thm)],[84]) ).

fof(86,plain,
    ! [X1,X2,X3,X4] :
      ( ~ contains_slb(X2,X4)
      | ~ less_than(lookup_slb(X2,X4),X4)
      | remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),X3) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(87,plain,
    ! [X5,X6,X7,X8] :
      ( ~ contains_slb(X6,X8)
      | ~ less_than(lookup_slb(X6,X8),X8)
      | remove_cpq(triple(X5,X6,X7),X8) = triple(remove_pqp(X5,X8),remove_slb(X6,X8),X7) ),
    inference(variable_rename,[status(thm)],[86]) ).

cnf(88,plain,
    ( remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),X3)
    | ~ less_than(lookup_slb(X2,X4),X4)
    | ~ contains_slb(X2,X4) ),
    inference(split_conjunct,[status(thm)],[87]) ).

fof(91,plain,
    ! [X1,X2] :
      ( ( ~ ok(triple(X1,X2,bad))
        | ~ $true )
      & ( $true
        | ok(triple(X1,X2,bad)) ) ),
    inference(fof_nnf,[status(thm)],[15]) ).

fof(92,plain,
    ! [X3,X4] :
      ( ( ~ ok(triple(X3,X4,bad))
        | ~ $true )
      & ( $true
        | ok(triple(X3,X4,bad)) ) ),
    inference(variable_rename,[status(thm)],[91]) ).

cnf(94,plain,
    ( $false
    | ~ ok(triple(X1,X2,bad)) ),
    inference(split_conjunct,[status(thm)],[92]) ).

fof(109,plain,
    ! [X3,X4] :
      ( less_than(X3,X4)
      | less_than(X4,X3) ),
    inference(variable_rename,[status(thm)],[20]) ).

cnf(110,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    inference(split_conjunct,[status(thm)],[109]) ).

fof(111,plain,
    ! [X1,X2] :
      ( ( ~ strictly_less_than(X1,X2)
        | ( less_than(X1,X2)
          & ~ less_than(X2,X1) ) )
      & ( ~ less_than(X1,X2)
        | less_than(X2,X1)
        | strictly_less_than(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[44]) ).

fof(112,plain,
    ! [X3,X4] :
      ( ( ~ strictly_less_than(X3,X4)
        | ( less_than(X3,X4)
          & ~ less_than(X4,X3) ) )
      & ( ~ less_than(X3,X4)
        | less_than(X4,X3)
        | strictly_less_than(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[111]) ).

fof(113,plain,
    ! [X3,X4] :
      ( ( less_than(X3,X4)
        | ~ strictly_less_than(X3,X4) )
      & ( ~ less_than(X4,X3)
        | ~ strictly_less_than(X3,X4) )
      & ( ~ less_than(X3,X4)
        | less_than(X4,X3)
        | strictly_less_than(X3,X4) ) ),
    inference(distribute,[status(thm)],[112]) ).

cnf(114,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1)
    | ~ less_than(X1,X2) ),
    inference(split_conjunct,[status(thm)],[113]) ).

fof(155,negated_conjecture,
    ? [X1,X2,X3,X4] :
      ( check_cpq(remove_cpq(triple(X1,X2,X3),X4))
      & ok(remove_cpq(triple(X1,X2,X3),X4))
      & ~ check_cpq(triple(X1,X2,X3)) ),
    inference(fof_nnf,[status(thm)],[41]) ).

fof(156,negated_conjecture,
    ? [X5,X6,X7,X8] :
      ( check_cpq(remove_cpq(triple(X5,X6,X7),X8))
      & ok(remove_cpq(triple(X5,X6,X7),X8))
      & ~ check_cpq(triple(X5,X6,X7)) ),
    inference(variable_rename,[status(thm)],[155]) ).

fof(157,negated_conjecture,
    ( check_cpq(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0))
    & ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0))
    & ~ check_cpq(triple(esk1_0,esk2_0,esk3_0)) ),
    inference(skolemize,[status(esa)],[156]) ).

cnf(158,negated_conjecture,
    ~ check_cpq(triple(esk1_0,esk2_0,esk3_0)),
    inference(split_conjunct,[status(thm)],[157]) ).

cnf(159,negated_conjecture,
    ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
    inference(split_conjunct,[status(thm)],[157]) ).

cnf(160,negated_conjecture,
    check_cpq(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
    inference(split_conjunct,[status(thm)],[157]) ).

fof(161,plain,
    ! [X1,X2,X3,X4] :
      ( ~ ok(remove_cpq(triple(X1,X2,X3),X4))
      | contains_slb(X2,X4) ),
    inference(fof_nnf,[status(thm)],[37]) ).

fof(162,plain,
    ! [X5,X6,X7,X8] :
      ( ~ ok(remove_cpq(triple(X5,X6,X7),X8))
      | contains_slb(X6,X8) ),
    inference(variable_rename,[status(thm)],[161]) ).

cnf(163,plain,
    ( contains_slb(X1,X2)
    | ~ ok(remove_cpq(triple(X3,X1,X4),X2)) ),
    inference(split_conjunct,[status(thm)],[162]) ).

fof(164,plain,
    ! [X1,X2,X3,X4] :
      ( ~ check_cpq(remove_cpq(triple(X1,X2,X3),X4))
      | ~ ok(remove_cpq(triple(X1,X2,X3),X4))
      | ! [X5] :
          ( ~ pair_in_list(X2,X4,X5)
          | less_than(X5,X4) ) ),
    inference(fof_nnf,[status(thm)],[38]) ).

fof(165,plain,
    ! [X6,X7,X8,X9] :
      ( ~ check_cpq(remove_cpq(triple(X6,X7,X8),X9))
      | ~ ok(remove_cpq(triple(X6,X7,X8),X9))
      | ! [X10] :
          ( ~ pair_in_list(X7,X9,X10)
          | less_than(X10,X9) ) ),
    inference(variable_rename,[status(thm)],[164]) ).

fof(166,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ pair_in_list(X7,X9,X10)
      | less_than(X10,X9)
      | ~ check_cpq(remove_cpq(triple(X6,X7,X8),X9))
      | ~ ok(remove_cpq(triple(X6,X7,X8),X9)) ),
    inference(shift_quantors,[status(thm)],[165]) ).

cnf(167,plain,
    ( less_than(X5,X4)
    | ~ ok(remove_cpq(triple(X1,X2,X3),X4))
    | ~ check_cpq(remove_cpq(triple(X1,X2,X3),X4))
    | ~ pair_in_list(X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[166]) ).

fof(168,plain,
    ! [X1,X2,X3] :
      ( ( ~ check_cpq(triple(X1,X2,X3))
        | ! [X4,X5] :
            ( ~ pair_in_list(X2,X4,X5)
            | less_than(X5,X4) ) )
      & ( ? [X4,X5] :
            ( pair_in_list(X2,X4,X5)
            & ~ less_than(X5,X4) )
        | check_cpq(triple(X1,X2,X3)) ) ),
    inference(fof_nnf,[status(thm)],[39]) ).

fof(169,plain,
    ! [X6,X7,X8] :
      ( ( ~ check_cpq(triple(X6,X7,X8))
        | ! [X9,X10] :
            ( ~ pair_in_list(X7,X9,X10)
            | less_than(X10,X9) ) )
      & ( ? [X11,X12] :
            ( pair_in_list(X7,X11,X12)
            & ~ less_than(X12,X11) )
        | check_cpq(triple(X6,X7,X8)) ) ),
    inference(variable_rename,[status(thm)],[168]) ).

fof(170,plain,
    ! [X6,X7,X8] :
      ( ( ~ check_cpq(triple(X6,X7,X8))
        | ! [X9,X10] :
            ( ~ pair_in_list(X7,X9,X10)
            | less_than(X10,X9) ) )
      & ( ( pair_in_list(X7,esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
          & ~ less_than(esk6_3(X6,X7,X8),esk5_3(X6,X7,X8)) )
        | check_cpq(triple(X6,X7,X8)) ) ),
    inference(skolemize,[status(esa)],[169]) ).

fof(171,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ( ~ pair_in_list(X7,X9,X10)
        | less_than(X10,X9)
        | ~ check_cpq(triple(X6,X7,X8)) )
      & ( ( pair_in_list(X7,esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
          & ~ less_than(esk6_3(X6,X7,X8),esk5_3(X6,X7,X8)) )
        | check_cpq(triple(X6,X7,X8)) ) ),
    inference(shift_quantors,[status(thm)],[170]) ).

fof(172,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ( ~ pair_in_list(X7,X9,X10)
        | less_than(X10,X9)
        | ~ check_cpq(triple(X6,X7,X8)) )
      & ( pair_in_list(X7,esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
        | check_cpq(triple(X6,X7,X8)) )
      & ( ~ less_than(esk6_3(X6,X7,X8),esk5_3(X6,X7,X8))
        | check_cpq(triple(X6,X7,X8)) ) ),
    inference(distribute,[status(thm)],[171]) ).

cnf(173,plain,
    ( check_cpq(triple(X1,X2,X3))
    | ~ less_than(esk6_3(X1,X2,X3),esk5_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[172]) ).

cnf(174,plain,
    ( check_cpq(triple(X1,X2,X3))
    | pair_in_list(X2,esk5_3(X1,X2,X3),esk6_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[172]) ).

cnf(175,plain,
    ( less_than(X4,X5)
    | ~ check_cpq(triple(X1,X2,X3))
    | ~ pair_in_list(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[172]) ).

fof(176,plain,
    ! [X1,X2,X3] :
      ( ~ pair_in_list(X1,X2,X3)
      | ! [X4] :
          ( ~ contains_slb(X1,X4)
          | pair_in_list(remove_slb(X1,X4),X2,X3)
          | X2 = X4 ) ),
    inference(fof_nnf,[status(thm)],[40]) ).

fof(177,plain,
    ! [X5,X6,X7] :
      ( ~ pair_in_list(X5,X6,X7)
      | ! [X8] :
          ( ~ contains_slb(X5,X8)
          | pair_in_list(remove_slb(X5,X8),X6,X7)
          | X6 = X8 ) ),
    inference(variable_rename,[status(thm)],[176]) ).

fof(178,plain,
    ! [X5,X6,X7,X8] :
      ( ~ contains_slb(X5,X8)
      | pair_in_list(remove_slb(X5,X8),X6,X7)
      | X6 = X8
      | ~ pair_in_list(X5,X6,X7) ),
    inference(shift_quantors,[status(thm)],[177]) ).

cnf(179,plain,
    ( X2 = X4
    | pair_in_list(remove_slb(X1,X4),X2,X3)
    | ~ pair_in_list(X1,X2,X3)
    | ~ contains_slb(X1,X4) ),
    inference(split_conjunct,[status(thm)],[178]) ).

cnf(187,negated_conjecture,
    contains_slb(esk2_0,esk4_0),
    inference(spm,[status(thm)],[163,159,theory(equality)]) ).

cnf(190,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1) ),
    inference(csr,[status(thm)],[114,110]) ).

cnf(224,negated_conjecture,
    ( less_than(X1,esk4_0)
    | ~ pair_in_list(esk2_0,esk4_0,X1)
    | ~ check_cpq(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)) ),
    inference(spm,[status(thm)],[167,159,theory(equality)]) ).

cnf(226,negated_conjecture,
    ( less_than(X1,esk4_0)
    | ~ pair_in_list(esk2_0,esk4_0,X1)
    | $false ),
    inference(rw,[status(thm)],[224,160,theory(equality)]) ).

cnf(227,negated_conjecture,
    ( less_than(X1,esk4_0)
    | ~ pair_in_list(esk2_0,esk4_0,X1) ),
    inference(cn,[status(thm)],[226,theory(equality)]) ).

cnf(269,plain,
    ( less_than(X1,X2)
    | ~ pair_in_list(remove_slb(X3,X4),X2,X1)
    | ~ check_cpq(remove_cpq(triple(X5,X3,X6),X4))
    | ~ less_than(lookup_slb(X3,X4),X4)
    | ~ contains_slb(X3,X4) ),
    inference(spm,[status(thm)],[175,88,theory(equality)]) ).

cnf(276,plain,
    ( ~ ok(remove_cpq(triple(X1,X3,X4),X2))
    | ~ strictly_less_than(X2,lookup_slb(X3,X2))
    | ~ contains_slb(X3,X2) ),
    inference(spm,[status(thm)],[94,85,theory(equality)]) ).

cnf(306,plain,
    ( ~ ok(remove_cpq(triple(X1,X3,X4),X2))
    | ~ strictly_less_than(X2,lookup_slb(X3,X2)) ),
    inference(csr,[status(thm)],[276,163]) ).

cnf(307,negated_conjecture,
    ~ strictly_less_than(esk4_0,lookup_slb(esk2_0,esk4_0)),
    inference(spm,[status(thm)],[306,159,theory(equality)]) ).

cnf(313,negated_conjecture,
    less_than(lookup_slb(esk2_0,esk4_0),esk4_0),
    inference(spm,[status(thm)],[307,190,theory(equality)]) ).

cnf(3395,negated_conjecture,
    ( less_than(X1,X2)
    | ~ pair_in_list(remove_slb(esk2_0,esk4_0),X2,X1)
    | ~ less_than(lookup_slb(esk2_0,esk4_0),esk4_0)
    | ~ contains_slb(esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[269,160,theory(equality)]) ).

cnf(3406,negated_conjecture,
    ( less_than(X1,X2)
    | ~ pair_in_list(remove_slb(esk2_0,esk4_0),X2,X1)
    | $false
    | ~ contains_slb(esk2_0,esk4_0) ),
    inference(rw,[status(thm)],[3395,313,theory(equality)]) ).

cnf(3407,negated_conjecture,
    ( less_than(X1,X2)
    | ~ pair_in_list(remove_slb(esk2_0,esk4_0),X2,X1)
    | $false
    | $false ),
    inference(rw,[status(thm)],[3406,187,theory(equality)]) ).

cnf(3408,negated_conjecture,
    ( less_than(X1,X2)
    | ~ pair_in_list(remove_slb(esk2_0,esk4_0),X2,X1) ),
    inference(cn,[status(thm)],[3407,theory(equality)]) ).

cnf(3414,plain,
    ( less_than(X1,X2)
    | X2 = esk4_0
    | ~ pair_in_list(esk2_0,X2,X1)
    | ~ contains_slb(esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[3408,179,theory(equality)]) ).

cnf(3417,plain,
    ( less_than(X1,X2)
    | X2 = esk4_0
    | ~ pair_in_list(esk2_0,X2,X1)
    | $false ),
    inference(rw,[status(thm)],[3414,187,theory(equality)]) ).

cnf(3418,plain,
    ( less_than(X1,X2)
    | X2 = esk4_0
    | ~ pair_in_list(esk2_0,X2,X1) ),
    inference(cn,[status(thm)],[3417,theory(equality)]) ).

cnf(3419,plain,
    ( esk5_3(X1,esk2_0,X2) = esk4_0
    | less_than(esk6_3(X1,esk2_0,X2),esk5_3(X1,esk2_0,X2))
    | check_cpq(triple(X1,esk2_0,X2)) ),
    inference(spm,[status(thm)],[3418,174,theory(equality)]) ).

cnf(3422,plain,
    ( esk5_3(X1,esk2_0,X2) = esk4_0
    | check_cpq(triple(X1,esk2_0,X2)) ),
    inference(csr,[status(thm)],[3419,173]) ).

cnf(3423,plain,
    ( check_cpq(triple(X1,esk2_0,X2))
    | ~ less_than(esk6_3(X1,esk2_0,X2),esk4_0) ),
    inference(spm,[status(thm)],[173,3422,theory(equality)]) ).

cnf(3424,plain,
    ( pair_in_list(esk2_0,esk4_0,esk6_3(X1,esk2_0,X2))
    | check_cpq(triple(X1,esk2_0,X2)) ),
    inference(spm,[status(thm)],[174,3422,theory(equality)]) ).

cnf(3478,plain,
    ( less_than(esk6_3(X1,esk2_0,X2),esk4_0)
    | check_cpq(triple(X1,esk2_0,X2)) ),
    inference(spm,[status(thm)],[227,3424,theory(equality)]) ).

cnf(3537,plain,
    check_cpq(triple(X1,esk2_0,X2)),
    inference(csr,[status(thm)],[3478,3423]) ).

cnf(3539,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[158,3537,theory(equality)]) ).

cnf(3540,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[3539,theory(equality)]) ).

cnf(3541,negated_conjecture,
    $false,
    3540,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV391+1.p
% --creating new selector for [SWV007+0.ax, SWV007+2.ax, SWV007+3.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpgFEXy1/sel_SWV391+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpgFEXy1/sel_SWV391+1.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [SWV007+0.ax, SWV007+2.ax, SWV007+3.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpgFEXy1/sel_SWV391+1.p_3 with time limit 74
% -prover status ResourceOut
% --creating new selector for [SWV007+0.ax, SWV007+2.ax, SWV007+3.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpgFEXy1/sel_SWV391+1.p_4 with time limit 55
% -prover status ResourceOut
% --creating new selector for [SWV007+0.ax, SWV007+2.ax, SWV007+3.ax]
% -running prover on /tmp/tmpgFEXy1/sel_SWV391+1.p_5 with time limit 53
% -prover status Theorem
% Problem SWV391+1.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV391+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV391+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
% 
%------------------------------------------------------------------------------