TSTP Solution File: SWV415+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWV415+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 12:40:41 EST 2010

% Result   : Theorem 239.72s
% Output   : CNFRefutation 239.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  17 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   70 (  13 sgn  36   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(7,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/tmpnXZwsQ/sel_SWV415+1.p_5',ax42) ).

fof(34,axiom,
    ! [X1,X2,X3,X4,X5] : i(triple(X1,insert_slb(X2,pair(X4,X5)),X3)) = insert_pq(i(triple(X1,X2,X3)),X4),
    file('/tmp/tmpnXZwsQ/sel_SWV415+1.p_5',ax55) ).

fof(37,conjecture,
    ! [X1,X2,X3,X4] : i(insert_cpq(triple(X1,X2,X3),X4)) = insert_pq(i(triple(X1,X2,X3)),X4),
    file('/tmp/tmpnXZwsQ/sel_SWV415+1.p_5',co2) ).

fof(38,axiom,
    ! [X1,X2,X3,X4,X5] : i(triple(X1,X3,X4)) = i(triple(X2,X3,X5)),
    file('/tmp/tmpnXZwsQ/sel_SWV415+1.p_5',main2_l12) ).

fof(39,negated_conjecture,
    ~ ! [X1,X2,X3,X4] : i(insert_cpq(triple(X1,X2,X3),X4)) = insert_pq(i(triple(X1,X2,X3)),X4),
    inference(assume_negation,[status(cth)],[37]) ).

fof(63,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)],[7]) ).

cnf(64,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)],[63]) ).

fof(142,plain,
    ! [X6,X7,X8,X9,X10] : i(triple(X6,insert_slb(X7,pair(X9,X10)),X8)) = insert_pq(i(triple(X6,X7,X8)),X9),
    inference(variable_rename,[status(thm)],[34]) ).

cnf(143,plain,
    i(triple(X1,insert_slb(X2,pair(X3,X4)),X5)) = insert_pq(i(triple(X1,X2,X5)),X3),
    inference(split_conjunct,[status(thm)],[142]) ).

fof(149,negated_conjecture,
    ? [X1,X2,X3,X4] : i(insert_cpq(triple(X1,X2,X3),X4)) != insert_pq(i(triple(X1,X2,X3)),X4),
    inference(fof_nnf,[status(thm)],[39]) ).

fof(150,negated_conjecture,
    ? [X5,X6,X7,X8] : i(insert_cpq(triple(X5,X6,X7),X8)) != insert_pq(i(triple(X5,X6,X7)),X8),
    inference(variable_rename,[status(thm)],[149]) ).

fof(151,negated_conjecture,
    i(insert_cpq(triple(esk2_0,esk3_0,esk4_0),esk5_0)) != insert_pq(i(triple(esk2_0,esk3_0,esk4_0)),esk5_0),
    inference(skolemize,[status(esa)],[150]) ).

cnf(152,negated_conjecture,
    i(insert_cpq(triple(esk2_0,esk3_0,esk4_0),esk5_0)) != insert_pq(i(triple(esk2_0,esk3_0,esk4_0)),esk5_0),
    inference(split_conjunct,[status(thm)],[151]) ).

fof(153,plain,
    ! [X6,X7,X8,X9,X10] : i(triple(X6,X8,X9)) = i(triple(X7,X8,X10)),
    inference(variable_rename,[status(thm)],[38]) ).

cnf(154,plain,
    i(triple(X1,X2,X3)) = i(triple(X4,X2,X5)),
    inference(split_conjunct,[status(thm)],[153]) ).

cnf(199,plain,
    i(insert_cpq(triple(X1,X3,X4),X2)) = i(triple(X5,insert_slb(X3,pair(X2,bottom)),X6)),
    inference(spm,[status(thm)],[154,64,theory(equality)]) ).

cnf(203,plain,
    i(insert_cpq(triple(X1,X3,X4),X2)) = insert_pq(i(triple(X5,X3,X6)),X2),
    inference(rw,[status(thm)],[199,143,theory(equality)]) ).

cnf(484,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[152,203,theory(equality)]) ).

cnf(485,negated_conjecture,
    $false,
    484,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV415+1.p
% --creating new selector for [SWV007+3.ax, SWV007+0.ax, SWV007+1.ax, SWV007+2.ax, SWV007+4.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpnXZwsQ/sel_SWV415+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpnXZwsQ/sel_SWV415+1.p_2 with time limit 80
% -prover status ResourceOut
% --creating new selector for [SWV007+3.ax, SWV007+0.ax, SWV007+1.ax, SWV007+2.ax, SWV007+4.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpnXZwsQ/sel_SWV415+1.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [SWV007+3.ax, SWV007+0.ax, SWV007+1.ax, SWV007+2.ax, SWV007+4.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpnXZwsQ/sel_SWV415+1.p_4 with time limit 55
% -prover status ResourceOut
% --creating new selector for [SWV007+3.ax, SWV007+0.ax, SWV007+1.ax, SWV007+2.ax, SWV007+4.ax]
% -running prover on /tmp/tmpnXZwsQ/sel_SWV415+1.p_5 with time limit 54
% -prover status Theorem
% Problem SWV415+1.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV415+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV415+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
% 
%------------------------------------------------------------------------------