TSTP Solution File: NUM298+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM298+1 : TPTP v7.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n140.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 15:02:05 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  13 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   57 (  27   ~;  18   |;   9   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   30 (   3 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(11,axiom,
    ! [X1,X2,X3,X4] :
      ( ( rdn_translate(X1,rdn_neg(X3))
        & rdn_translate(X2,rdn_pos(X4)) )
     => less(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmpzosZtE/sel_theBenchmark.p_1',less_entry_point_neg_pos) ).

fof(56,axiom,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox/tmp/tmpzosZtE/sel_theBenchmark.p_1',rdn2) ).

fof(78,axiom,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    file('/export/starexec/sandbox/tmp/tmpzosZtE/sel_theBenchmark.p_1',rdnn2) ).

fof(113,axiom,
    ! [X1,X2] :
      ( less(X1,X2)
    <=> ( ~ less(X2,X1)
        & ~ equal(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmpzosZtE/sel_theBenchmark.p_1',less_property) ).

fof(127,conjecture,
    ~ less(n2,nn2),
    file('/export/starexec/sandbox/tmp/tmpzosZtE/sel_theBenchmark.p_1',n2_not_less_nn2) ).

fof(128,negated_conjecture,
    ~ ~ less(n2,nn2),
    inference(assume_negation,[status(cth)],[127]) ).

fof(129,plain,
    ! [X1,X2] :
      ( less(X1,X2)
    <=> ( ~ less(X2,X1)
        & ~ equal(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[113,theory(equality)]) ).

fof(130,negated_conjecture,
    less(n2,nn2),
    inference(fof_simplification,[status(thm)],[128,theory(equality)]) ).

fof(141,plain,
    ! [X1,X2,X3,X4] :
      ( ~ rdn_translate(X1,rdn_neg(X3))
      | ~ rdn_translate(X2,rdn_pos(X4))
      | less(X1,X2) ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(142,plain,
    ! [X5,X6,X7,X8] :
      ( ~ rdn_translate(X5,rdn_neg(X7))
      | ~ rdn_translate(X6,rdn_pos(X8))
      | less(X5,X6) ),
    inference(variable_rename,[status(thm)],[141]) ).

cnf(143,plain,
    ( less(X1,X2)
    | ~ rdn_translate(X2,rdn_pos(X3))
    | ~ rdn_translate(X1,rdn_neg(X4)) ),
    inference(split_conjunct,[status(thm)],[142]) ).

cnf(192,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(split_conjunct,[status(thm)],[56]) ).

cnf(214,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    inference(split_conjunct,[status(thm)],[78]) ).

fof(251,plain,
    ! [X1,X2] :
      ( ( ~ less(X1,X2)
        | ( ~ less(X2,X1)
          & ~ equal(X2,X1) ) )
      & ( less(X2,X1)
        | equal(X2,X1)
        | less(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[129]) ).

fof(252,plain,
    ! [X3,X4] :
      ( ( ~ less(X3,X4)
        | ( ~ less(X4,X3)
          & ~ equal(X4,X3) ) )
      & ( less(X4,X3)
        | equal(X4,X3)
        | less(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[251]) ).

fof(253,plain,
    ! [X3,X4] :
      ( ( ~ less(X4,X3)
        | ~ less(X3,X4) )
      & ( ~ equal(X4,X3)
        | ~ less(X3,X4) )
      & ( less(X4,X3)
        | equal(X4,X3)
        | less(X3,X4) ) ),
    inference(distribute,[status(thm)],[252]) ).

cnf(256,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[253]) ).

cnf(272,negated_conjecture,
    less(n2,nn2),
    inference(split_conjunct,[status(thm)],[130]) ).

cnf(279,plain,
    ( less(X1,n2)
    | ~ rdn_translate(X1,rdn_neg(X2)) ),
    inference(spm,[status(thm)],[143,192,theory(equality)]) ).

cnf(318,plain,
    less(nn2,n2),
    inference(spm,[status(thm)],[279,214,theory(equality)]) ).

cnf(319,plain,
    ~ less(n2,nn2),
    inference(spm,[status(thm)],[256,318,theory(equality)]) ).

cnf(320,plain,
    $false,
    inference(rw,[status(thm)],[319,272,theory(equality)]) ).

cnf(321,plain,
    $false,
    inference(cn,[status(thm)],[320,theory(equality)]) ).

cnf(322,plain,
    $false,
    321,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM298+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 : n140.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 00:39:29 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.06/0.28  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.28  --creating new selector for [NUM005+1.ax, NUM005+0.ax, NUM005+2.ax]
% 0.06/0.37  -running prover on /export/starexec/sandbox/tmp/tmpzosZtE/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/tmpzosZtE/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
%------------------------------------------------------------------------------