TSTP Solution File: NUM837+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM837+2 : TPTP v7.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n107.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 15:22:27 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   40 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   37 (  18   ~;  13   |;   4   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   33 (   1 sgn  22   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    less(vd268,vd269),
    file('/export/starexec/sandbox/tmp/tmpnE3P36/sel_theBenchmark.p_1','holds(conjunct1(170), 270, 0)') ).

fof(4,axiom,
    ! [X4,X5] :
      ( less(X4,X5)
     => greater(X5,X4) ),
    file('/export/starexec/sandbox/tmp/tmpnE3P36/sel_theBenchmark.p_1','ass(cond(147, 0), 0)') ).

fof(11,conjecture,
    ? [X20] : equal(vd269,vplus(vd268,X20)),
    file('/export/starexec/sandbox/tmp/tmpnE3P36/sel_theBenchmark.p_1','qe(171)') ).

fof(12,axiom,
    ! [X21,X22] :
      ( greater(X22,X21)
    <=> ? [X23] : equal(X22,vplus(X21,X23)) ),
    file('/export/starexec/sandbox/tmp/tmpnE3P36/sel_theBenchmark.p_1','def(cond(conseq(axiom(3)), 11), 1)') ).

fof(14,negated_conjecture,
    ~ ? [X20] : equal(vd269,vplus(vd268,X20)),
    inference(assume_negation,[status(cth)],[11]) ).

cnf(16,plain,
    less(vd268,vd269),
    inference(split_conjunct,[status(thm)],[1]) ).

fof(20,plain,
    ! [X4,X5] :
      ( ~ less(X4,X5)
      | greater(X5,X4) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(21,plain,
    ! [X6,X7] :
      ( ~ less(X6,X7)
      | greater(X7,X6) ),
    inference(variable_rename,[status(thm)],[20]) ).

cnf(22,plain,
    ( greater(X1,X2)
    | ~ less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[21]) ).

fof(42,negated_conjecture,
    ! [X20] : ~ equal(vd269,vplus(vd268,X20)),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(43,negated_conjecture,
    ! [X21] : ~ equal(vd269,vplus(vd268,X21)),
    inference(variable_rename,[status(thm)],[42]) ).

cnf(44,negated_conjecture,
    vd269 != vplus(vd268,X1),
    inference(split_conjunct,[status(thm)],[43]) ).

fof(45,plain,
    ! [X21,X22] :
      ( ( ~ greater(X22,X21)
        | ? [X23] : equal(X22,vplus(X21,X23)) )
      & ( ! [X23] : ~ equal(X22,vplus(X21,X23))
        | greater(X22,X21) ) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(46,plain,
    ! [X24,X25] :
      ( ( ~ greater(X25,X24)
        | ? [X26] : equal(X25,vplus(X24,X26)) )
      & ( ! [X27] : ~ equal(X25,vplus(X24,X27))
        | greater(X25,X24) ) ),
    inference(variable_rename,[status(thm)],[45]) ).

fof(47,plain,
    ! [X24,X25] :
      ( ( ~ greater(X25,X24)
        | equal(X25,vplus(X24,esk1_2(X24,X25))) )
      & ( ! [X27] : ~ equal(X25,vplus(X24,X27))
        | greater(X25,X24) ) ),
    inference(skolemize,[status(esa)],[46]) ).

fof(48,plain,
    ! [X24,X25,X27] :
      ( ( ~ equal(X25,vplus(X24,X27))
        | greater(X25,X24) )
      & ( ~ greater(X25,X24)
        | equal(X25,vplus(X24,esk1_2(X24,X25))) ) ),
    inference(shift_quantors,[status(thm)],[47]) ).

cnf(49,plain,
    ( X1 = vplus(X2,esk1_2(X2,X1))
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[48]) ).

cnf(72,plain,
    greater(vd269,vd268),
    inference(spm,[status(thm)],[22,16,theory(equality)]) ).

cnf(78,negated_conjecture,
    ( X1 != vd269
    | ~ greater(X1,vd268) ),
    inference(spm,[status(thm)],[44,49,theory(equality)]) ).

cnf(86,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[78,72,theory(equality)]) ).

cnf(87,negated_conjecture,
    $false,
    86,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM837+2 : 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 : n107.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 14:38:35 CST 2018
% 0.03/0.23  % CPUTime  : 
% 0.03/0.28  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.28  --creating new selector for []
% 0.06/0.35  -running prover on /export/starexec/sandbox/tmp/tmpnE3P36/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.35  -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/tmpnE3P36/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/sandbox/benchmark/theBenchmark.p
% 0.06/0.35  % SZS status Ended for /export/starexec/sandbox/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
%------------------------------------------------------------------------------