TSTP Solution File: NUM627+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM627+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n133.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 15:22:03 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   39 (  14 unt;   0 def)
%            Number of atoms       :   97 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  111 (  53   ~;  45   |;   9   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(31,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
        & ~ equal(szszuzczcdt0(X1),sz00) ) ),
    file('/export/starexec/sandbox/tmp/tmpA618ys/sel_theBenchmark.p_1',mSuccNum) ).

fof(52,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( sdtlseqdt0(X1,X2)
        | sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
    file('/export/starexec/sandbox/tmp/tmpA618ys/sel_theBenchmark.p_1',mLessTotal) ).

fof(53,axiom,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    file('/export/starexec/sandbox/tmp/tmpA618ys/sel_theBenchmark.p_1',m__5442) ).

fof(69,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( sdtlseqdt0(X2,X1)
       => aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmpA618ys/sel_theBenchmark.p_1',m__3754) ).

fof(85,axiom,
    ( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aElementOf0(xn,szNzAzT0)
    & equal(sdtlpdtrp0(xe,xn),xp) ),
    file('/export/starexec/sandbox/tmp/tmpA618ys/sel_theBenchmark.p_1',m__5309) ).

fof(91,axiom,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox/tmp/tmpA618ys/sel_theBenchmark.p_1',m__5461) ).

fof(100,axiom,
    ( aElementOf0(xm,szNzAzT0)
    & equal(xx,sdtlpdtrp0(xe,xm)) ),
    file('/export/starexec/sandbox/tmp/tmpA618ys/sel_theBenchmark.p_1',m__5389) ).

fof(126,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(fof_simplification,[status(thm)],[53,theory(equality)]) ).

fof(127,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    inference(fof_simplification,[status(thm)],[91,theory(equality)]) ).

fof(267,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
        & ~ equal(szszuzczcdt0(X1),sz00) ) ),
    inference(fof_nnf,[status(thm)],[31]) ).

fof(268,plain,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
        & ~ equal(szszuzczcdt0(X2),sz00) ) ),
    inference(variable_rename,[status(thm)],[267]) ).

fof(269,plain,
    ! [X2] :
      ( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
        | ~ aElementOf0(X2,szNzAzT0) )
      & ( ~ equal(szszuzczcdt0(X2),sz00)
        | ~ aElementOf0(X2,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[268]) ).

cnf(271,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[269]) ).

fof(367,plain,
    ! [X1,X2] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X2,szNzAzT0)
      | sdtlseqdt0(X1,X2)
      | sdtlseqdt0(szszuzczcdt0(X2),X1) ),
    inference(fof_nnf,[status(thm)],[52]) ).

fof(368,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | sdtlseqdt0(X3,X4)
      | sdtlseqdt0(szszuzczcdt0(X4),X3) ),
    inference(variable_rename,[status(thm)],[367]) ).

cnf(369,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),X2)
    | sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[368]) ).

cnf(370,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(split_conjunct,[status(thm)],[126]) ).

fof(443,plain,
    ! [X1,X2] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ sdtlseqdt0(X2,X1)
      | aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ),
    inference(fof_nnf,[status(thm)],[69]) ).

fof(444,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | ~ sdtlseqdt0(X4,X3)
      | aSubsetOf0(sdtlpdtrp0(xN,X3),sdtlpdtrp0(xN,X4)) ),
    inference(variable_rename,[status(thm)],[443]) ).

cnf(445,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[444]) ).

cnf(498,plain,
    aElementOf0(xn,szNzAzT0),
    inference(split_conjunct,[status(thm)],[85]) ).

cnf(518,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    inference(split_conjunct,[status(thm)],[127]) ).

cnf(537,plain,
    aElementOf0(xm,szNzAzT0),
    inference(split_conjunct,[status(thm)],[100]) ).

cnf(1155,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xm,szNzAzT0)
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(spm,[status(thm)],[518,445,theory(equality)]) ).

cnf(1156,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0) ),
    inference(spm,[status(thm)],[370,445,theory(equality)]) ).

cnf(1165,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | $false
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(rw,[status(thm)],[1155,537,theory(equality)]) ).

cnf(1166,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | $false
    | $false ),
    inference(rw,[status(thm)],[1165,498,theory(equality)]) ).

cnf(1167,plain,
    ~ sdtlseqdt0(xm,xn),
    inference(cn,[status(thm)],[1166,theory(equality)]) ).

cnf(1168,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | $false ),
    inference(rw,[status(thm)],[1156,537,theory(equality)]) ).

cnf(1169,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(cn,[status(thm)],[1168,theory(equality)]) ).

cnf(2882,plain,
    ( sdtlseqdt0(xm,xn)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0)
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(spm,[status(thm)],[1169,369,theory(equality)]) ).

cnf(2884,plain,
    ( sdtlseqdt0(xm,xn)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | $false
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(rw,[status(thm)],[2882,537,theory(equality)]) ).

cnf(2885,plain,
    ( sdtlseqdt0(xm,xn)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | $false
    | $false ),
    inference(rw,[status(thm)],[2884,498,theory(equality)]) ).

cnf(2886,plain,
    ( sdtlseqdt0(xm,xn)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(cn,[status(thm)],[2885,theory(equality)]) ).

cnf(2887,plain,
    ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
    inference(sr,[status(thm)],[2886,1167,theory(equality)]) ).

cnf(2920,plain,
    ~ aElementOf0(xn,szNzAzT0),
    inference(spm,[status(thm)],[2887,271,theory(equality)]) ).

cnf(2922,plain,
    $false,
    inference(rw,[status(thm)],[2920,498,theory(equality)]) ).

cnf(2923,plain,
    $false,
    inference(cn,[status(thm)],[2922,theory(equality)]) ).

cnf(2924,plain,
    $false,
    2923,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM627+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.22  % Computer : n133.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   : 32218.625MB
% 0.02/0.22  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.22  % CPULimit : 300
% 0.02/0.22  % DateTime : Fri Jan  5 11:01:00 CST 2018
% 0.02/0.22  % CPUTime  : 
% 0.02/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.27  --creating new selector for []
% 0.06/0.42  -running prover on /export/starexec/sandbox/tmp/tmpA618ys/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.42  -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/tmpA618ys/sel_theBenchmark.p_1']
% 0.06/0.42  -prover status Theorem
% 0.06/0.42  Problem theBenchmark.p solved in phase 0.
% 0.06/0.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.42  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.42  Solved 1 out of 1.
% 0.06/0.42  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.42  # SZS status Theorem
% 0.06/0.42  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.43  # SZS output end CNFRefutation
%------------------------------------------------------------------------------