TSTP Solution File: COM125+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : COM125+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n021.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 10:03:41 EDT 2016

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   25 (   6 unt;   0 def)
%            Number of atoms       :   71 (   2 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   76 (  30   ~;  22   |;  17   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-3 aty)
%            Number of variables   :   96 (   3 sgn  66   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(24,axiom,
    ! [X7,X22,X14,X11,X23,X16] :
      ( ( ~ equal(X7,X11)
        & ~ visFreeVar(X7,vabs(X11,X23,veabs))
        & vtcheck(X14,vabs(X11,X23,veabs),X16) )
     => vtcheck(vbind(X7,X22,X14),vabs(X11,X23,veabs),X16) ),
    file('/export/starexec/sandbox/tmp/tmpogKXte/sel_theBenchmark.p_1','T-Weak-FreeVar-abs-1') ).

fof(25,axiom,
    ! [X7,X22,X14,X11,X23,X16] :
      ( ( equal(X7,X11)
        & ~ visFreeVar(X7,vabs(X11,X23,veabs))
        & vtcheck(X14,vabs(X11,X23,veabs),X16) )
     => vtcheck(vbind(X7,X22,X14),vabs(X11,X23,veabs),X16) ),
    file('/export/starexec/sandbox/tmp/tmpogKXte/sel_theBenchmark.p_1','T-Weak-FreeVar-abs-2') ).

fof(27,conjecture,
    ! [X7,X22,X14,X11,X23,X16] :
      ( ( ~ visFreeVar(X7,vabs(X11,X23,veabs))
        & vtcheck(X14,vabs(X11,X23,veabs),X16) )
     => vtcheck(vbind(X7,X22,X14),vabs(X11,X23,veabs),X16) ),
    file('/export/starexec/sandbox/tmp/tmpogKXte/sel_theBenchmark.p_1','T-Weak-FreeVar-abs') ).

fof(29,negated_conjecture,
    ~ ! [X7,X22,X14,X11,X23,X16] :
        ( ( ~ visFreeVar(X7,vabs(X11,X23,veabs))
          & vtcheck(X14,vabs(X11,X23,veabs),X16) )
       => vtcheck(vbind(X7,X22,X14),vabs(X11,X23,veabs),X16) ),
    inference(assume_negation,[status(cth)],[27]) ).

fof(31,plain,
    ! [X7,X22,X14,X11,X23,X16] :
      ( ( ~ equal(X7,X11)
        & ~ visFreeVar(X7,vabs(X11,X23,veabs))
        & vtcheck(X14,vabs(X11,X23,veabs),X16) )
     => vtcheck(vbind(X7,X22,X14),vabs(X11,X23,veabs),X16) ),
    inference(fof_simplification,[status(thm)],[24,theory(equality)]) ).

fof(32,plain,
    ! [X7,X22,X14,X11,X23,X16] :
      ( ( equal(X7,X11)
        & ~ visFreeVar(X7,vabs(X11,X23,veabs))
        & vtcheck(X14,vabs(X11,X23,veabs),X16) )
     => vtcheck(vbind(X7,X22,X14),vabs(X11,X23,veabs),X16) ),
    inference(fof_simplification,[status(thm)],[25,theory(equality)]) ).

fof(34,negated_conjecture,
    ~ ! [X7,X22,X14,X11,X23,X16] :
        ( ( ~ visFreeVar(X7,vabs(X11,X23,veabs))
          & vtcheck(X14,vabs(X11,X23,veabs),X16) )
       => vtcheck(vbind(X7,X22,X14),vabs(X11,X23,veabs),X16) ),
    inference(fof_simplification,[status(thm)],[29,theory(equality)]) ).

fof(122,plain,
    ! [X7,X22,X14,X11,X23,X16] :
      ( equal(X7,X11)
      | visFreeVar(X7,vabs(X11,X23,veabs))
      | ~ vtcheck(X14,vabs(X11,X23,veabs),X16)
      | vtcheck(vbind(X7,X22,X14),vabs(X11,X23,veabs),X16) ),
    inference(fof_nnf,[status(thm)],[31]) ).

fof(123,plain,
    ! [X24,X25,X26,X27,X28,X29] :
      ( equal(X24,X27)
      | visFreeVar(X24,vabs(X27,X28,veabs))
      | ~ vtcheck(X26,vabs(X27,X28,veabs),X29)
      | vtcheck(vbind(X24,X25,X26),vabs(X27,X28,veabs),X29) ),
    inference(variable_rename,[status(thm)],[122]) ).

cnf(124,plain,
    ( vtcheck(vbind(X1,X2,X3),vabs(X4,X5,veabs),X6)
    | visFreeVar(X1,vabs(X4,X5,veabs))
    | X1 = X4
    | ~ vtcheck(X3,vabs(X4,X5,veabs),X6) ),
    inference(split_conjunct,[status(thm)],[123]) ).

fof(125,plain,
    ! [X7,X22,X14,X11,X23,X16] :
      ( ~ equal(X7,X11)
      | visFreeVar(X7,vabs(X11,X23,veabs))
      | ~ vtcheck(X14,vabs(X11,X23,veabs),X16)
      | vtcheck(vbind(X7,X22,X14),vabs(X11,X23,veabs),X16) ),
    inference(fof_nnf,[status(thm)],[32]) ).

fof(126,plain,
    ! [X24,X25,X26,X27,X28,X29] :
      ( ~ equal(X24,X27)
      | visFreeVar(X24,vabs(X27,X28,veabs))
      | ~ vtcheck(X26,vabs(X27,X28,veabs),X29)
      | vtcheck(vbind(X24,X25,X26),vabs(X27,X28,veabs),X29) ),
    inference(variable_rename,[status(thm)],[125]) ).

cnf(127,plain,
    ( vtcheck(vbind(X1,X2,X3),vabs(X4,X5,veabs),X6)
    | visFreeVar(X1,vabs(X4,X5,veabs))
    | ~ vtcheck(X3,vabs(X4,X5,veabs),X6)
    | X1 != X4 ),
    inference(split_conjunct,[status(thm)],[126]) ).

fof(131,negated_conjecture,
    ? [X7,X22,X14,X11,X23,X16] :
      ( ~ visFreeVar(X7,vabs(X11,X23,veabs))
      & vtcheck(X14,vabs(X11,X23,veabs),X16)
      & ~ vtcheck(vbind(X7,X22,X14),vabs(X11,X23,veabs),X16) ),
    inference(fof_nnf,[status(thm)],[34]) ).

fof(132,negated_conjecture,
    ? [X24,X25,X26,X27,X28,X29] :
      ( ~ visFreeVar(X24,vabs(X27,X28,veabs))
      & vtcheck(X26,vabs(X27,X28,veabs),X29)
      & ~ vtcheck(vbind(X24,X25,X26),vabs(X27,X28,veabs),X29) ),
    inference(variable_rename,[status(thm)],[131]) ).

fof(133,negated_conjecture,
    ( ~ visFreeVar(esk1_0,vabs(esk4_0,esk5_0,veabs))
    & vtcheck(esk3_0,vabs(esk4_0,esk5_0,veabs),esk6_0)
    & ~ vtcheck(vbind(esk1_0,esk2_0,esk3_0),vabs(esk4_0,esk5_0,veabs),esk6_0) ),
    inference(skolemize,[status(esa)],[132]) ).

cnf(134,negated_conjecture,
    ~ vtcheck(vbind(esk1_0,esk2_0,esk3_0),vabs(esk4_0,esk5_0,veabs),esk6_0),
    inference(split_conjunct,[status(thm)],[133]) ).

cnf(135,negated_conjecture,
    vtcheck(esk3_0,vabs(esk4_0,esk5_0,veabs),esk6_0),
    inference(split_conjunct,[status(thm)],[133]) ).

cnf(136,negated_conjecture,
    ~ visFreeVar(esk1_0,vabs(esk4_0,esk5_0,veabs)),
    inference(split_conjunct,[status(thm)],[133]) ).

cnf(182,plain,
    ( vtcheck(vbind(X1,X2,X3),vabs(X4,X5,veabs),X6)
    | visFreeVar(X1,vabs(X4,X5,veabs))
    | ~ vtcheck(X3,vabs(X4,X5,veabs),X6) ),
    inference(csr,[status(thm)],[127,124]) ).

cnf(183,negated_conjecture,
    ( visFreeVar(esk1_0,vabs(esk4_0,esk5_0,veabs))
    | ~ vtcheck(esk3_0,vabs(esk4_0,esk5_0,veabs),esk6_0) ),
    inference(spm,[status(thm)],[134,182,theory(equality)]) ).

cnf(186,negated_conjecture,
    ( visFreeVar(esk1_0,vabs(esk4_0,esk5_0,veabs))
    | $false ),
    inference(rw,[status(thm)],[183,135,theory(equality)]) ).

cnf(187,negated_conjecture,
    visFreeVar(esk1_0,vabs(esk4_0,esk5_0,veabs)),
    inference(cn,[status(thm)],[186,theory(equality)]) ).

cnf(188,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[187,136,theory(equality)]) ).

cnf(189,negated_conjecture,
    $false,
    188,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM125+1 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.22  % Computer : n021.star.cs.uiowa.edu
% 0.02/0.22  % Model    : x86_64 x86_64
% 0.02/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22  % Memory   : 16091.75MB
% 0.02/0.22  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.22  % CPULimit : 300
% 0.02/0.22  % DateTime : Fri Mar 25 11:42:29 CDT 2016
% 0.02/0.22  % CPUTime  : 
% 0.06/0.29  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.29  --creating new selector for [COM001+0.ax]
% 0.06/0.36  -running prover on /export/starexec/sandbox/tmp/tmpogKXte/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/tmpogKXte/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
%------------------------------------------------------------------------------