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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : COM146+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n028.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 16091.75MB
% OS       : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Mar 28 10:03:43 EDT 2016

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   8 unt;   0 def)
%            Number of atoms       :   37 (   9 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   33 (  14   ~;   7   |;   8   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-1 aty)
%            Number of variables   :   34 (   4 sgn  19   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(13,axiom,
    ! [X8,X1,X20] :
      ( equal(X1,vvar(X8))
     => ( equal(X20,vreduce(X1))
       => equal(X20,vnoExp) ) ),
    file('/export/starexec/sandbox/tmp/tmp9V3yB9/sel_theBenchmark.p_1',reduce0) ).

fof(27,axiom,
    ! [X1] : ~ equal(vnoExp,vsomeExp(X1)),
    file('/export/starexec/sandbox/tmp/tmp9V3yB9/sel_theBenchmark.p_1','DIFF-noExp-someExp') ).

fof(32,conjecture,
    ! [X8,X15,X29,X17] :
      ( ( equal(vreduce(vvar(X8)),vsomeExp(X29))
        & vtcheck(X15,vvar(X8),X17) )
     => vtcheck(X15,X29,X17) ),
    file('/export/starexec/sandbox/tmp/tmp9V3yB9/sel_theBenchmark.p_1','T-Preservation-T-var') ).

fof(35,negated_conjecture,
    ~ ! [X8,X15,X29,X17] :
        ( ( equal(vreduce(vvar(X8)),vsomeExp(X29))
          & vtcheck(X15,vvar(X8),X17) )
       => vtcheck(X15,X29,X17) ),
    inference(assume_negation,[status(cth)],[32]) ).

fof(87,plain,
    ! [X8,X1,X20] :
      ( ~ equal(X1,vvar(X8))
      | ~ equal(X20,vreduce(X1))
      | equal(X20,vnoExp) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(88,plain,
    ! [X21,X22,X23] :
      ( ~ equal(X22,vvar(X21))
      | ~ equal(X23,vreduce(X22))
      | equal(X23,vnoExp) ),
    inference(variable_rename,[status(thm)],[87]) ).

cnf(89,plain,
    ( X1 = vnoExp
    | X1 != vreduce(X2)
    | X2 != vvar(X3) ),
    inference(split_conjunct,[status(thm)],[88]) ).

fof(137,plain,
    ! [X2] : ~ equal(vnoExp,vsomeExp(X2)),
    inference(variable_rename,[status(thm)],[27]) ).

cnf(138,plain,
    vnoExp != vsomeExp(X1),
    inference(split_conjunct,[status(thm)],[137]) ).

fof(152,negated_conjecture,
    ? [X8,X15,X29,X17] :
      ( equal(vreduce(vvar(X8)),vsomeExp(X29))
      & vtcheck(X15,vvar(X8),X17)
      & ~ vtcheck(X15,X29,X17) ),
    inference(fof_nnf,[status(thm)],[35]) ).

fof(153,negated_conjecture,
    ? [X30,X31,X32,X33] :
      ( equal(vreduce(vvar(X30)),vsomeExp(X32))
      & vtcheck(X31,vvar(X30),X33)
      & ~ vtcheck(X31,X32,X33) ),
    inference(variable_rename,[status(thm)],[152]) ).

fof(154,negated_conjecture,
    ( equal(vreduce(vvar(esk4_0)),vsomeExp(esk6_0))
    & vtcheck(esk5_0,vvar(esk4_0),esk7_0)
    & ~ vtcheck(esk5_0,esk6_0,esk7_0) ),
    inference(skolemize,[status(esa)],[153]) ).

cnf(157,negated_conjecture,
    vreduce(vvar(esk4_0)) = vsomeExp(esk6_0),
    inference(split_conjunct,[status(thm)],[154]) ).

cnf(168,plain,
    ( vnoExp = X1
    | vreduce(vvar(X2)) != X1 ),
    inference(er,[status(thm)],[89,theory(equality)]) ).

cnf(221,plain,
    vnoExp = vreduce(vvar(X1)),
    inference(er,[status(thm)],[168,theory(equality)]) ).

cnf(223,negated_conjecture,
    vnoExp = vsomeExp(esk6_0),
    inference(rw,[status(thm)],[157,221,theory(equality)]) ).

cnf(224,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[223,138,theory(equality)]) ).

cnf(225,negated_conjecture,
    $false,
    224,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM146+1 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n028.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   : 16091.75MB
% 0.02/0.23  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Fri Mar 25 12:24:43 CDT 2016
% 0.02/0.23  % CPUTime  : 
% 0.02/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.27  --creating new selector for [COM001+0.ax]
% 0.06/0.35  -running prover on /export/starexec/sandbox/tmp/tmp9V3yB9/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/tmp9V3yB9/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
% 0.06/0.35  Solved 1 out of 1.
% 0.06/0.35  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.35  # SZS status Theorem
% 0.06/0.35  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.35  # SZS output end CNFRefutation
%------------------------------------------------------------------------------