TSTP Solution File: NUM613+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM613+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n033.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 15:22:00 EST 2018

% Result   : Theorem 0.07s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (  14 unt;   0 def)
%            Number of atoms       :   45 (  16 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   38 (  17   ~;  15   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(19,conjecture,
    equal(sbrdtbr0(xP),xk),
    file('/export/starexec/sandbox2/tmp/tmp3YG5AB/sel_theBenchmark.p_1',m__) ).

fof(20,axiom,
    ( aElementOf0(xk,szNzAzT0)
    & equal(szszuzczcdt0(xk),xK) ),
    file('/export/starexec/sandbox2/tmp/tmp3YG5AB/sel_theBenchmark.p_1',m__3533) ).

fof(61,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( equal(szszuzczcdt0(X1),szszuzczcdt0(X2))
       => equal(X1,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp3YG5AB/sel_theBenchmark.p_1',mSuccEquSucc) ).

fof(102,axiom,
    ( equal(sbrdtbr0(xQ),szszuzczcdt0(xk))
    & equal(szszuzczcdt0(sbrdtbr0(xP)),sbrdtbr0(xQ))
    & aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/tmp3YG5AB/sel_theBenchmark.p_1',m__5255) ).

fof(111,negated_conjecture,
    ~ equal(sbrdtbr0(xP),xk),
    inference(assume_negation,[status(cth)],[19]) ).

fof(113,negated_conjecture,
    ~ equal(sbrdtbr0(xP),xk),
    inference(fof_simplification,[status(thm)],[111,theory(equality)]) ).

cnf(209,negated_conjecture,
    sbrdtbr0(xP) != xk,
    inference(split_conjunct,[status(thm)],[113]) ).

cnf(210,plain,
    szszuzczcdt0(xk) = xK,
    inference(split_conjunct,[status(thm)],[20]) ).

cnf(211,plain,
    aElementOf0(xk,szNzAzT0),
    inference(split_conjunct,[status(thm)],[20]) ).

fof(402,plain,
    ! [X1,X2] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ equal(szszuzczcdt0(X1),szszuzczcdt0(X2))
      | equal(X1,X2) ),
    inference(fof_nnf,[status(thm)],[61]) ).

fof(403,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | ~ equal(szszuzczcdt0(X3),szszuzczcdt0(X4))
      | equal(X3,X4) ),
    inference(variable_rename,[status(thm)],[402]) ).

cnf(404,plain,
    ( X1 = X2
    | szszuzczcdt0(X1) != szszuzczcdt0(X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[403]) ).

cnf(551,plain,
    aElementOf0(sbrdtbr0(xP),szNzAzT0),
    inference(split_conjunct,[status(thm)],[102]) ).

cnf(552,plain,
    szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ),
    inference(split_conjunct,[status(thm)],[102]) ).

cnf(553,plain,
    sbrdtbr0(xQ) = szszuzczcdt0(xk),
    inference(split_conjunct,[status(thm)],[102]) ).

cnf(586,plain,
    sbrdtbr0(xQ) = xK,
    inference(rw,[status(thm)],[553,210,theory(equality)]) ).

cnf(587,plain,
    szszuzczcdt0(sbrdtbr0(xP)) = xK,
    inference(rw,[status(thm)],[552,586,theory(equality)]) ).

cnf(885,plain,
    ( X1 = xk
    | szszuzczcdt0(X1) != szszuzczcdt0(xk)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[404,211,theory(equality)]) ).

cnf(895,plain,
    ( X1 = xk
    | szszuzczcdt0(X1) != xK
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(rw,[status(thm)],[885,210,theory(equality)]) ).

cnf(2739,plain,
    ( sbrdtbr0(xP) = xk
    | szszuzczcdt0(sbrdtbr0(xP)) != xK ),
    inference(spm,[status(thm)],[895,551,theory(equality)]) ).

cnf(2754,plain,
    ( sbrdtbr0(xP) = xk
    | $false ),
    inference(rw,[status(thm)],[2739,587,theory(equality)]) ).

cnf(2755,plain,
    sbrdtbr0(xP) = xk,
    inference(cn,[status(thm)],[2754,theory(equality)]) ).

cnf(2756,plain,
    $false,
    inference(sr,[status(thm)],[2755,209,theory(equality)]) ).

cnf(2757,plain,
    $false,
    2756,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM613+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.24  % Computer : n033.star.cs.uiowa.edu
% 0.03/0.24  % Model    : x86_64 x86_64
% 0.03/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24  % Memory   : 32218.625MB
% 0.03/0.24  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24  % CPULimit : 300
% 0.03/0.24  % DateTime : Fri Jan  5 10:40:00 CST 2018
% 0.03/0.24  % CPUTime  : 
% 0.03/0.28  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.28  --creating new selector for []
% 0.07/0.43  -running prover on /export/starexec/sandbox2/tmp/tmp3YG5AB/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.43  -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/tmp3YG5AB/sel_theBenchmark.p_1']
% 0.07/0.43  -prover status Theorem
% 0.07/0.43  Problem theBenchmark.p solved in phase 0.
% 0.07/0.43  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.43  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.43  Solved 1 out of 1.
% 0.07/0.43  # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.43  # SZS status Theorem
% 0.07/0.43  # SZS output start CNFRefutation.
% See solution above
% 0.07/0.43  # SZS output end CNFRefutation
%------------------------------------------------------------------------------