TSTP Solution File: NUM290+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM290+1 : TPTP v7.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n138.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 15:02:04 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    :   20 (  13 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  15   ~;  13   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   18 (   0 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(56,axiom,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox/tmp/tmpd5OXIM/sel_theBenchmark.p_1',rdn2) ).

fof(57,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox/tmp/tmpd5OXIM/sel_theBenchmark.p_1',rdn3) ).

fof(100,axiom,
    ! [X1,X2,X3,X4] :
      ( ( rdn_translate(X1,rdn_pos(X3))
        & rdn_translate(X2,rdn_pos(X4))
        & rdn_positive_less(X3,X4) )
     => less(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmpd5OXIM/sel_theBenchmark.p_1',less_entry_point_pos_pos) ).

fof(109,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/tmp/tmpd5OXIM/sel_theBenchmark.p_1',rdn_positive_less23) ).

fof(126,conjecture,
    less(n2,n3),
    file('/export/starexec/sandbox/tmp/tmpd5OXIM/sel_theBenchmark.p_1',n2_less_n3) ).

fof(127,negated_conjecture,
    ~ less(n2,n3),
    inference(assume_negation,[status(cth)],[126]) ).

fof(129,negated_conjecture,
    ~ less(n2,n3),
    inference(fof_simplification,[status(thm)],[127,theory(equality)]) ).

cnf(191,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(split_conjunct,[status(thm)],[56]) ).

cnf(192,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(split_conjunct,[status(thm)],[57]) ).

fof(235,plain,
    ! [X1,X2,X3,X4] :
      ( ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X2,rdn_pos(X4))
      | ~ rdn_positive_less(X3,X4)
      | less(X1,X2) ),
    inference(fof_nnf,[status(thm)],[100]) ).

fof(236,plain,
    ! [X5,X6,X7,X8] :
      ( ~ rdn_translate(X5,rdn_pos(X7))
      | ~ rdn_translate(X6,rdn_pos(X8))
      | ~ rdn_positive_less(X7,X8)
      | less(X5,X6) ),
    inference(variable_rename,[status(thm)],[235]) ).

cnf(237,plain,
    ( less(X1,X2)
    | ~ rdn_positive_less(X3,X4)
    | ~ rdn_translate(X2,rdn_pos(X4))
    | ~ rdn_translate(X1,rdn_pos(X3)) ),
    inference(split_conjunct,[status(thm)],[236]) ).

cnf(246,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(split_conjunct,[status(thm)],[109]) ).

cnf(270,negated_conjecture,
    ~ less(n2,n3),
    inference(split_conjunct,[status(thm)],[129]) ).

cnf(288,plain,
    ( less(X1,n3)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdnn(n3)) ),
    inference(spm,[status(thm)],[237,192,theory(equality)]) ).

cnf(319,plain,
    ( less(n2,n3)
    | ~ rdn_positive_less(rdnn(n2),rdnn(n3)) ),
    inference(spm,[status(thm)],[288,191,theory(equality)]) ).

cnf(329,plain,
    ( less(n2,n3)
    | $false ),
    inference(rw,[status(thm)],[319,246,theory(equality)]) ).

cnf(330,plain,
    less(n2,n3),
    inference(cn,[status(thm)],[329,theory(equality)]) ).

cnf(331,plain,
    $false,
    inference(sr,[status(thm)],[330,270,theory(equality)]) ).

cnf(332,plain,
    $false,
    331,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM290+1 : TPTP v7.0.0. Released v3.1.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n138.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 : Mon Jan  8 08:11:27 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.06/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.27  --creating new selector for [NUM005+0.ax, NUM005+1.ax, NUM005+2.ax]
% 0.06/0.36  -running prover on /export/starexec/sandbox/tmp/tmpd5OXIM/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.36  -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/tmpd5OXIM/sel_theBenchmark.p_1']
% 0.06/0.36  -prover status Theorem
% 0.06/0.36  Problem theBenchmark.p solved in phase 0.
% 0.06/0.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.36  % 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
%------------------------------------------------------------------------------