TSTP Solution File: SWV377+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWV377+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art01.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 12:29:32 EST 2010

% Result   : Theorem 239.66s
% Output   : CNFRefutation 239.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (  10 unt;   0 def)
%            Number of atoms       :   44 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   40 (  21   ~;   8   |;   5   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   58 (   7 sgn  38   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(6,axiom,
    ! [X1,X2,X3,X4] : insert_cpq(triple(X1,X2,X3),X4) = triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3),
    file('/tmp/tmpUSJYZW/sel_SWV377+1.p_5',ax42) ).

fof(12,axiom,
    ! [X1,X2] :
      ( ok(triple(X1,X2,bad))
    <=> ~ $true ),
    file('/tmp/tmpUSJYZW/sel_SWV377+1.p_5',ax40) ).

fof(18,axiom,
    ! [X1,X2,X3] :
      ( ~ ok(triple(X1,X2,X3))
     => X3 = bad ),
    file('/tmp/tmpUSJYZW/sel_SWV377+1.p_5',ax41) ).

fof(32,conjecture,
    ! [X1,X2,X3,X4] :
      ( ~ ok(triple(X1,X2,X3))
     => ~ ok(insert_cpq(triple(X1,X2,X3),X4)) ),
    file('/tmp/tmpUSJYZW/sel_SWV377+1.p_5',l13_co) ).

fof(33,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ~ ok(triple(X1,X2,X3))
       => ~ ok(insert_cpq(triple(X1,X2,X3),X4)) ),
    inference(assume_negation,[status(cth)],[32]) ).

fof(37,plain,
    ! [X1,X2,X3] :
      ( ~ ok(triple(X1,X2,X3))
     => X3 = bad ),
    inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).

fof(39,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ~ ok(triple(X1,X2,X3))
       => ~ ok(insert_cpq(triple(X1,X2,X3),X4)) ),
    inference(fof_simplification,[status(thm)],[33,theory(equality)]) ).

fof(54,plain,
    ! [X5,X6,X7,X8] : insert_cpq(triple(X5,X6,X7),X8) = triple(insert_pqp(X5,X8),insert_slb(X6,pair(X8,bottom)),X7),
    inference(variable_rename,[status(thm)],[6]) ).

cnf(55,plain,
    insert_cpq(triple(X1,X2,X3),X4) = triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3),
    inference(split_conjunct,[status(thm)],[54]) ).

fof(74,plain,
    ! [X1,X2] :
      ( ( ~ ok(triple(X1,X2,bad))
        | ~ $true )
      & ( $true
        | ok(triple(X1,X2,bad)) ) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(75,plain,
    ! [X3,X4] :
      ( ( ~ ok(triple(X3,X4,bad))
        | ~ $true )
      & ( $true
        | ok(triple(X3,X4,bad)) ) ),
    inference(variable_rename,[status(thm)],[74]) ).

cnf(77,plain,
    ( $false
    | ~ ok(triple(X1,X2,bad)) ),
    inference(split_conjunct,[status(thm)],[75]) ).

fof(93,plain,
    ! [X1,X2,X3] :
      ( ok(triple(X1,X2,X3))
      | X3 = bad ),
    inference(fof_nnf,[status(thm)],[37]) ).

fof(94,plain,
    ! [X4,X5,X6] :
      ( ok(triple(X4,X5,X6))
      | X6 = bad ),
    inference(variable_rename,[status(thm)],[93]) ).

cnf(95,plain,
    ( X1 = bad
    | ok(triple(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[94]) ).

fof(132,negated_conjecture,
    ? [X1,X2,X3,X4] :
      ( ~ ok(triple(X1,X2,X3))
      & ok(insert_cpq(triple(X1,X2,X3),X4)) ),
    inference(fof_nnf,[status(thm)],[39]) ).

fof(133,negated_conjecture,
    ? [X5,X6,X7,X8] :
      ( ~ ok(triple(X5,X6,X7))
      & ok(insert_cpq(triple(X5,X6,X7),X8)) ),
    inference(variable_rename,[status(thm)],[132]) ).

fof(134,negated_conjecture,
    ( ~ ok(triple(esk1_0,esk2_0,esk3_0))
    & ok(insert_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)) ),
    inference(skolemize,[status(esa)],[133]) ).

cnf(135,negated_conjecture,
    ok(insert_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
    inference(split_conjunct,[status(thm)],[134]) ).

cnf(136,negated_conjecture,
    ~ ok(triple(esk1_0,esk2_0,esk3_0)),
    inference(split_conjunct,[status(thm)],[134]) ).

cnf(142,negated_conjecture,
    bad = esk3_0,
    inference(spm,[status(thm)],[136,95,theory(equality)]) ).

cnf(162,plain,
    ~ ok(insert_cpq(triple(X1,X3,bad),X2)),
    inference(spm,[status(thm)],[77,55,theory(equality)]) ).

cnf(211,negated_conjecture,
    ok(insert_cpq(triple(esk1_0,esk2_0,bad),esk4_0)),
    inference(rw,[status(thm)],[135,142,theory(equality)]) ).

cnf(215,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[211,162,theory(equality)]) ).

cnf(216,negated_conjecture,
    $false,
    215,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV377+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/tmpUSJYZW/sel_SWV377+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpUSJYZW/sel_SWV377+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/tmpUSJYZW/sel_SWV377+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/tmpUSJYZW/sel_SWV377+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/tmpUSJYZW/sel_SWV377+1.p_5 with time limit 54
% -prover status Theorem
% Problem SWV377+1.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV377+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV377+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
% 
%------------------------------------------------------------------------------