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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM343+1 : TPTP v7.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n132.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan  8 15:02:10 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   43 (   1 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   49 (  20   ~;  11   |;  14   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   18 (   1 sgn  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(119,axiom,
    ! [X5,X6] :
      ( less(X5,X6)
    <=> ( ~ less(X6,X5)
        & ~ equal(X6,X5) ) ),
    file('/export/starexec/sandbox/tmp/tmp7K42er/sel_theBenchmark.p_1',less_property) ).

fof(133,conjecture,
    ? [X5] :
      ( ( less(nn1,X5)
        & less(X5,n1) )
     => sum(n21,X5,n21) ),
    file('/export/starexec/sandbox/tmp/tmp7K42er/sel_theBenchmark.p_1',sum_something_n0_samething) ).

fof(134,negated_conjecture,
    ~ ? [X5] :
        ( ( less(nn1,X5)
          & less(X5,n1) )
       => sum(n21,X5,n21) ),
    inference(assume_negation,[status(cth)],[133]) ).

fof(135,plain,
    ! [X5,X6] :
      ( less(X5,X6)
    <=> ( ~ less(X6,X5)
        & ~ equal(X6,X5) ) ),
    inference(fof_simplification,[status(thm)],[119,theory(equality)]) ).

fof(272,plain,
    ! [X5,X6] :
      ( ( ~ less(X5,X6)
        | ( ~ less(X6,X5)
          & ~ equal(X6,X5) ) )
      & ( less(X6,X5)
        | equal(X6,X5)
        | less(X5,X6) ) ),
    inference(fof_nnf,[status(thm)],[135]) ).

fof(273,plain,
    ! [X7,X8] :
      ( ( ~ less(X7,X8)
        | ( ~ less(X8,X7)
          & ~ equal(X8,X7) ) )
      & ( less(X8,X7)
        | equal(X8,X7)
        | less(X7,X8) ) ),
    inference(variable_rename,[status(thm)],[272]) ).

fof(274,plain,
    ! [X7,X8] :
      ( ( ~ less(X8,X7)
        | ~ less(X7,X8) )
      & ( ~ equal(X8,X7)
        | ~ less(X7,X8) )
      & ( less(X8,X7)
        | equal(X8,X7)
        | less(X7,X8) ) ),
    inference(distribute,[status(thm)],[273]) ).

cnf(276,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[274]) ).

fof(293,negated_conjecture,
    ! [X5] :
      ( less(nn1,X5)
      & less(X5,n1)
      & ~ sum(n21,X5,n21) ),
    inference(fof_nnf,[status(thm)],[134]) ).

fof(294,negated_conjecture,
    ! [X6] :
      ( less(nn1,X6)
      & less(X6,n1)
      & ~ sum(n21,X6,n21) ),
    inference(variable_rename,[status(thm)],[293]) ).

cnf(296,negated_conjecture,
    less(X1,n1),
    inference(split_conjunct,[status(thm)],[294]) ).

cnf(298,plain,
    ~ less(X1,X1),
    inference(er,[status(thm)],[276,theory(equality)]) ).

cnf(351,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[298,296,theory(equality)]) ).

cnf(353,negated_conjecture,
    $false,
    351,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM343+1 : TPTP v7.0.0. Released v3.1.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n132.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 32218.625MB
% 0.02/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Fri Jan  5 01:21:30 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.02/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.27  --creating new selector for [NUM005+0.ax, NUM005+1.ax, NUM005+2.ax]
% 0.06/0.37  -running prover on /export/starexec/sandbox/tmp/tmp7K42er/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.37  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmp7K42er/sel_theBenchmark.p_1']
% 0.06/0.37  -prover status Theorem
% 0.06/0.37  Problem theBenchmark.p solved in phase 0.
% 0.06/0.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.37  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.37  Solved 1 out of 1.
% 0.06/0.37  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.37  # SZS status Theorem
% 0.06/0.37  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.37  # SZS output end CNFRefutation
%------------------------------------------------------------------------------