%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM576+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n110.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 15:21:51 EST 2018

% Result   : Theorem 4.94s
% Output   : CNFRefutation 4.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (  10 unt;   0 def)
%            Number of atoms       :   80 (   7 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   85 (  35   ~;  39   |;   6   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   19 (   0 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ( aElementOf0(xi,szNzAzT0)
    & aElementOf0(xj,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/tmpJdS7ux/sel_theBenchmark.p_1',m__3856) ).

fof(68,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( sdtlseqdt0(X1,X2)
        | sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmpJdS7ux/sel_theBenchmark.p_1',mLessTotal) ).

fof(69,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X1) )
       => equal(X1,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmpJdS7ux/sel_theBenchmark.p_1',mLessASymm) ).

fof(81,conjecture,
    ( ~ equal(xi,xj)
   => ( sdtlseqdt0(szszuzczcdt0(xj),xi)
      | sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
    file('/export/starexec/sandbox2/tmp/tmpJdS7ux/sel_theBenchmark.p_1',m__) ).

fof(86,negated_conjecture,
    ~ ( ~ equal(xi,xj)
     => ( sdtlseqdt0(szszuzczcdt0(xj),xi)
        | sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
    inference(assume_negation,[status(cth)],[81]) ).

cnf(95,plain,
    aElementOf0(xj,szNzAzT0),
    inference(split_conjunct,[status(thm)],[2]) ).

cnf(96,plain,
    aElementOf0(xi,szNzAzT0),
    inference(split_conjunct,[status(thm)],[2]) ).

fof(4428,plain,
    ! [X1,X2] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X2,szNzAzT0)
      | sdtlseqdt0(X1,X2)
      | sdtlseqdt0(szszuzczcdt0(X2),X1) ),
    inference(fof_nnf,[status(thm)],[68]) ).

fof(4429,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | sdtlseqdt0(X3,X4)
      | sdtlseqdt0(szszuzczcdt0(X4),X3) ),
    inference(variable_rename,[status(thm)],[4428]) ).

cnf(4430,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),X2)
    | sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[4429]) ).

fof(4431,plain,
    ! [X1,X2] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X2,X1)
      | equal(X1,X2) ),
    inference(fof_nnf,[status(thm)],[69]) ).

fof(4432,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | ~ sdtlseqdt0(X3,X4)
      | ~ sdtlseqdt0(X4,X3)
      | equal(X3,X4) ),
    inference(variable_rename,[status(thm)],[4431]) ).

cnf(4433,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[4432]) ).

fof(4483,negated_conjecture,
    ( ~ equal(xi,xj)
    & ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
    & ~ sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    inference(fof_nnf,[status(thm)],[86]) ).

cnf(4484,negated_conjecture,
    ~ sdtlseqdt0(szszuzczcdt0(xi),xj),
    inference(split_conjunct,[status(thm)],[4483]) ).

cnf(4485,negated_conjecture,
    ~ sdtlseqdt0(szszuzczcdt0(xj),xi),
    inference(split_conjunct,[status(thm)],[4483]) ).

cnf(4486,negated_conjecture,
    xi != xj,
    inference(split_conjunct,[status(thm)],[4483]) ).

cnf(4711,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),xi)
    | sdtlseqdt0(xi,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[4430,96,theory(equality)]) ).

cnf(4712,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),xj)
    | sdtlseqdt0(xj,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[4430,95,theory(equality)]) ).

cnf(4780,plain,
    ( X1 = xi
    | ~ sdtlseqdt0(xi,X1)
    | ~ sdtlseqdt0(X1,xi)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[4433,96,theory(equality)]) ).

cnf(39421,plain,
    ( sdtlseqdt0(szszuzczcdt0(xj),xi)
    | sdtlseqdt0(xi,xj) ),
    inference(spm,[status(thm)],[4711,95,theory(equality)]) ).

cnf(39471,plain,
    sdtlseqdt0(xi,xj),
    inference(sr,[status(thm)],[39421,4485,theory(equality)]) ).

cnf(39487,plain,
    ( sdtlseqdt0(szszuzczcdt0(xi),xj)
    | sdtlseqdt0(xj,xi) ),
    inference(spm,[status(thm)],[4712,96,theory(equality)]) ).

cnf(39537,plain,
    sdtlseqdt0(xj,xi),
    inference(sr,[status(thm)],[39487,4484,theory(equality)]) ).

cnf(51278,plain,
    ( xj = xi
    | ~ sdtlseqdt0(xj,xi)
    | ~ aElementOf0(xj,szNzAzT0) ),
    inference(spm,[status(thm)],[4780,39471,theory(equality)]) ).

cnf(51282,plain,
    ( xj = xi
    | $false
    | ~ aElementOf0(xj,szNzAzT0) ),
    inference(rw,[status(thm)],[51278,39537,theory(equality)]) ).

cnf(51283,plain,
    ( xj = xi
    | $false
    | $false ),
    inference(rw,[status(thm)],[51282,95,theory(equality)]) ).

cnf(51284,plain,
    xj = xi,
    inference(cn,[status(thm)],[51283,theory(equality)]) ).

cnf(51285,plain,
    $false,
    inference(sr,[status(thm)],[51284,4486,theory(equality)]) ).

cnf(51286,plain,
    $false,
    51285,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM576+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n110.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 : Fri Jan  5 09:56:30 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.02/0.27  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.28  --creating new selector for []
% 4.94/5.23  -running prover on /export/starexec/sandbox2/tmp/tmpJdS7ux/sel_theBenchmark.p_1 with time limit 29
% 4.94/5.23  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpJdS7ux/sel_theBenchmark.p_1']
% 4.94/5.23  -prover status Theorem
% 4.94/5.23  Problem theBenchmark.p solved in phase 0.
% 4.94/5.23  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.94/5.23  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.94/5.23  Solved 1 out of 1.
% 4.94/5.23  # Problem is unsatisfiable (or provable), constructing proof object
% 4.94/5.23  # SZS status Theorem
% 4.94/5.23  # SZS output start CNFRefutation.
% See solution above
% 4.94/5.24  # SZS output end CNFRefutation
%------------------------------------------------------------------------------