TSTP Solution File: NUM837+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM837+1 : TPTP v7.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n092.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 0.07s
% Output   : CNFRefutation 0.07s
% 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/tmpnPQjnJ/sel_theBenchmark.p_1','holds(conjunct1(170), 270, 0)') ).

fof(7,conjecture,
    ? [X8] : equal(vd269,vplus(vd268,X8)),
    file('/export/starexec/sandbox/tmp/tmpnPQjnJ/sel_theBenchmark.p_1','qe(171)') ).

fof(11,axiom,
    ! [X16,X17] :
      ( less(X16,X17)
     => greater(X17,X16) ),
    file('/export/starexec/sandbox/tmp/tmpnPQjnJ/sel_theBenchmark.p_1','ass(cond(147, 0), 0)') ).

fof(12,axiom,
    ! [X18,X19] :
      ( greater(X19,X18)
    <=> ? [X20] : equal(X19,vplus(X18,X20)) ),
    file('/export/starexec/sandbox/tmp/tmpnPQjnJ/sel_theBenchmark.p_1','def(cond(conseq(axiom(3)), 11), 1)') ).

fof(23,negated_conjecture,
    ~ ? [X8] : equal(vd269,vplus(vd268,X8)),
    inference(assume_negation,[status(cth)],[7]) ).

cnf(25,plain,
    less(vd268,vd269),
    inference(split_conjunct,[status(thm)],[1]) ).

fof(38,negated_conjecture,
    ! [X8] : ~ equal(vd269,vplus(vd268,X8)),
    inference(fof_nnf,[status(thm)],[23]) ).

fof(39,negated_conjecture,
    ! [X9] : ~ equal(vd269,vplus(vd268,X9)),
    inference(variable_rename,[status(thm)],[38]) ).

cnf(40,negated_conjecture,
    vd269 != vplus(vd268,X1),
    inference(split_conjunct,[status(thm)],[39]) ).

fof(51,plain,
    ! [X16,X17] :
      ( ~ less(X16,X17)
      | greater(X17,X16) ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(52,plain,
    ! [X18,X19] :
      ( ~ less(X18,X19)
      | greater(X19,X18) ),
    inference(variable_rename,[status(thm)],[51]) ).

cnf(53,plain,
    ( greater(X1,X2)
    | ~ less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[52]) ).

fof(54,plain,
    ! [X18,X19] :
      ( ( ~ greater(X19,X18)
        | ? [X20] : equal(X19,vplus(X18,X20)) )
      & ( ! [X20] : ~ equal(X19,vplus(X18,X20))
        | greater(X19,X18) ) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(55,plain,
    ! [X21,X22] :
      ( ( ~ greater(X22,X21)
        | ? [X23] : equal(X22,vplus(X21,X23)) )
      & ( ! [X24] : ~ equal(X22,vplus(X21,X24))
        | greater(X22,X21) ) ),
    inference(variable_rename,[status(thm)],[54]) ).

fof(56,plain,
    ! [X21,X22] :
      ( ( ~ greater(X22,X21)
        | equal(X22,vplus(X21,esk1_2(X21,X22))) )
      & ( ! [X24] : ~ equal(X22,vplus(X21,X24))
        | greater(X22,X21) ) ),
    inference(skolemize,[status(esa)],[55]) ).

fof(57,plain,
    ! [X21,X22,X24] :
      ( ( ~ equal(X22,vplus(X21,X24))
        | greater(X22,X21) )
      & ( ~ greater(X22,X21)
        | equal(X22,vplus(X21,esk1_2(X21,X22))) ) ),
    inference(shift_quantors,[status(thm)],[56]) ).

cnf(58,plain,
    ( X1 = vplus(X2,esk1_2(X2,X1))
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[57]) ).

cnf(145,plain,
    greater(vd269,vd268),
    inference(spm,[status(thm)],[53,25,theory(equality)]) ).

cnf(152,negated_conjecture,
    ( X1 != vd269
    | ~ greater(X1,vd268) ),
    inference(spm,[status(thm)],[40,58,theory(equality)]) ).

cnf(269,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[152,145,theory(equality)]) ).

cnf(272,negated_conjecture,
    $false,
    269,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM837+1 : TPTP v7.0.0. Released v4.1.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.24  % Computer : n092.star.cs.uiowa.edu
% 0.02/0.24  % Model    : x86_64 x86_64
% 0.02/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24  % Memory   : 32218.625MB
% 0.02/0.24  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24  % CPULimit : 300
% 0.02/0.24  % DateTime : Fri Jan  5 14:38:35 CST 2018
% 0.02/0.24  % CPUTime  : 
% 0.07/0.28  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.28  --creating new selector for []
% 0.07/0.34  -running prover on /export/starexec/sandbox/tmp/tmpnPQjnJ/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.34  -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/tmpnPQjnJ/sel_theBenchmark.p_1']
% 0.07/0.34  -prover status Theorem
% 0.07/0.34  Problem theBenchmark.p solved in phase 0.
% 0.07/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35  Solved 1 out of 1.
% 0.07/0.35  # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.35  # SZS status Theorem
% 0.07/0.35  # SZS output start CNFRefutation.
% See solution above
% 0.07/0.35  # SZS output end CNFRefutation
%------------------------------------------------------------------------------