%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM850+1 : TPTP v7.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n131.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 15:22:30 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   31 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  15   ~;  10   |;   4   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   25 (   1 sgn  16   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(15,axiom,
    ! [X30,X31] :
      ( greater(X31,X30)
    <=> ? [X32] : equal(X31,vplus(X30,X32)) ),
    file('/export/starexec/sandbox2/tmp/tmphtvIJk/sel_theBenchmark.p_1','def(cond(conseq(axiom(3)), 11), 1)') ).

fof(23,axiom,
    greater(vd470,vd471),
    file('/export/starexec/sandbox2/tmp/tmphtvIJk/sel_theBenchmark.p_1','holds(antec(302), 472, 0)') ).

fof(38,conjecture,
    ? [X84] : equal(vd470,vplus(vd471,X84)),
    file('/export/starexec/sandbox2/tmp/tmphtvIJk/sel_theBenchmark.p_1','qe(conseq_conjunct1(conseq(302)))') ).

fof(39,negated_conjecture,
    ~ ? [X84] : equal(vd470,vplus(vd471,X84)),
    inference(assume_negation,[status(cth)],[38]) ).

fof(77,plain,
    ! [X30,X31] :
      ( ( ~ greater(X31,X30)
        | ? [X32] : equal(X31,vplus(X30,X32)) )
      & ( ! [X32] : ~ equal(X31,vplus(X30,X32))
        | greater(X31,X30) ) ),
    inference(fof_nnf,[status(thm)],[15]) ).

fof(78,plain,
    ! [X33,X34] :
      ( ( ~ greater(X34,X33)
        | ? [X35] : equal(X34,vplus(X33,X35)) )
      & ( ! [X36] : ~ equal(X34,vplus(X33,X36))
        | greater(X34,X33) ) ),
    inference(variable_rename,[status(thm)],[77]) ).

fof(79,plain,
    ! [X33,X34] :
      ( ( ~ greater(X34,X33)
        | equal(X34,vplus(X33,esk1_2(X33,X34))) )
      & ( ! [X36] : ~ equal(X34,vplus(X33,X36))
        | greater(X34,X33) ) ),
    inference(skolemize,[status(esa)],[78]) ).

fof(80,plain,
    ! [X33,X34,X36] :
      ( ( ~ equal(X34,vplus(X33,X36))
        | greater(X34,X33) )
      & ( ~ greater(X34,X33)
        | equal(X34,vplus(X33,esk1_2(X33,X34))) ) ),
    inference(shift_quantors,[status(thm)],[79]) ).

cnf(81,plain,
    ( X1 = vplus(X2,esk1_2(X2,X1))
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[80]) ).

cnf(102,plain,
    greater(vd470,vd471),
    inference(split_conjunct,[status(thm)],[23]) ).

fof(144,negated_conjecture,
    ! [X84] : ~ equal(vd470,vplus(vd471,X84)),
    inference(fof_nnf,[status(thm)],[39]) ).

fof(145,negated_conjecture,
    ! [X85] : ~ equal(vd470,vplus(vd471,X85)),
    inference(variable_rename,[status(thm)],[144]) ).

cnf(146,negated_conjecture,
    vd470 != vplus(vd471,X1),
    inference(split_conjunct,[status(thm)],[145]) ).

cnf(241,negated_conjecture,
    ( X1 != vd470
    | ~ greater(X1,vd471) ),
    inference(spm,[status(thm)],[146,81,theory(equality)]) ).

cnf(519,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[241,102,theory(equality)]) ).

cnf(522,negated_conjecture,
    $false,
    519,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM850+1 : TPTP v7.0.0. Released v4.1.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.23  % Computer : n131.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 32218.625MB
% 0.03/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Fri Jan  5 14:49:34 CST 2018
% 0.03/0.23  % CPUTime  : 
% 0.03/0.27  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.27  --creating new selector for []
% 0.06/0.35  -running prover on /export/starexec/sandbox2/tmp/tmphtvIJk/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.35  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmphtvIJk/sel_theBenchmark.p_1']
% 0.06/0.35  -prover status Theorem
% 0.06/0.35  Problem theBenchmark.p solved in phase 0.
% 0.06/0.35  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.35  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.36  Solved 1 out of 1.
% 0.06/0.36  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.36  # SZS status Theorem
% 0.06/0.36  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.36  # SZS output end CNFRefutation
%------------------------------------------------------------------------------