TSTP Solution File: COM144+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : COM144+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n017.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 :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :   50 (  10 sgn  27   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(12,axiom,
    ! [X8,X21,X16,X1,X20] :
      ( equal(X1,vabs(X8,X21,X16))
     => ( equal(X20,vreduce(X1))
       => equal(X20,vnoExp) ) ),
    file('/export/starexec/sandbox/tmp/tmpgyTfJQ/sel_theBenchmark.p_1',reduce1) ).

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

fof(35,conjecture,
    ! [X8,X21,X15,X29,X17] :
      ( ( equal(vreduce(vabs(X8,X21,ve1)),vsomeExp(X29))
        & vtcheck(X15,vabs(X8,X21,ve1),X17) )
     => vtcheck(X15,X29,X17) ),
    file('/export/starexec/sandbox/tmp/tmpgyTfJQ/sel_theBenchmark.p_1','T-Preservation-T-abs') ).

fof(36,negated_conjecture,
    ~ ! [X8,X21,X15,X29,X17] :
        ( ( equal(vreduce(vabs(X8,X21,ve1)),vsomeExp(X29))
          & vtcheck(X15,vabs(X8,X21,ve1),X17) )
       => vtcheck(X15,X29,X17) ),
    inference(assume_negation,[status(cth)],[35]) ).

fof(85,plain,
    ! [X8,X21,X16,X1,X20] :
      ( ~ equal(X1,vabs(X8,X21,X16))
      | ~ equal(X20,vreduce(X1))
      | equal(X20,vnoExp) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(86,plain,
    ! [X22,X23,X24,X25,X26] :
      ( ~ equal(X25,vabs(X22,X23,X24))
      | ~ equal(X26,vreduce(X25))
      | equal(X26,vnoExp) ),
    inference(variable_rename,[status(thm)],[85]) ).

cnf(87,plain,
    ( X1 = vnoExp
    | X1 != vreduce(X2)
    | X2 != vabs(X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[86]) ).

fof(138,plain,
    ! [X2] : ~ equal(vnoExp,vsomeExp(X2)),
    inference(variable_rename,[status(thm)],[27]) ).

cnf(139,plain,
    vnoExp != vsomeExp(X1),
    inference(split_conjunct,[status(thm)],[138]) ).

fof(162,negated_conjecture,
    ? [X8,X21,X15,X29,X17] :
      ( equal(vreduce(vabs(X8,X21,ve1)),vsomeExp(X29))
      & vtcheck(X15,vabs(X8,X21,ve1),X17)
      & ~ vtcheck(X15,X29,X17) ),
    inference(fof_nnf,[status(thm)],[36]) ).

fof(163,negated_conjecture,
    ? [X30,X31,X32,X33,X34] :
      ( equal(vreduce(vabs(X30,X31,ve1)),vsomeExp(X33))
      & vtcheck(X32,vabs(X30,X31,ve1),X34)
      & ~ vtcheck(X32,X33,X34) ),
    inference(variable_rename,[status(thm)],[162]) ).

fof(164,negated_conjecture,
    ( equal(vreduce(vabs(esk4_0,esk5_0,ve1)),vsomeExp(esk7_0))
    & vtcheck(esk6_0,vabs(esk4_0,esk5_0,ve1),esk8_0)
    & ~ vtcheck(esk6_0,esk7_0,esk8_0) ),
    inference(skolemize,[status(esa)],[163]) ).

cnf(167,negated_conjecture,
    vreduce(vabs(esk4_0,esk5_0,ve1)) = vsomeExp(esk7_0),
    inference(split_conjunct,[status(thm)],[164]) ).

cnf(178,plain,
    ( vnoExp = X1
    | vreduce(vabs(X2,X3,X4)) != X1 ),
    inference(er,[status(thm)],[87,theory(equality)]) ).

cnf(225,plain,
    vnoExp = vreduce(vabs(X1,X2,X3)),
    inference(er,[status(thm)],[178,theory(equality)]) ).

cnf(229,negated_conjecture,
    vnoExp = vsomeExp(esk7_0),
    inference(rw,[status(thm)],[167,225,theory(equality)]) ).

cnf(230,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[229,139,theory(equality)]) ).

cnf(231,negated_conjecture,
    $false,
    230,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM144+1 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.23  % Computer : n017.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   : 16091.75MB
% 0.03/0.23  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Fri Mar 25 12:21:03 CDT 2016
% 0.03/0.23  % CPUTime  : 
% 0.03/0.29  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29  --creating new selector for [COM001+0.ax]
% 0.06/0.36  -running prover on /export/starexec/sandbox/tmp/tmpgyTfJQ/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/tmpgyTfJQ/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
% 0.06/0.36  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
%------------------------------------------------------------------------------