%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 14:27:12 EDT 2022

% Result   : Theorem 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :    9 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    aElementOf0(skc1,xA),
    file('NUM533+2.p',unknown),
    [] ).

cnf(8,axiom,
    ~ aElementOf0(skc1,xC),
    file('NUM533+2.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ aElementOf0(u,xA)
    | aElementOf0(u,xB) ),
    file('NUM533+2.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ aElementOf0(u,xB)
    | aElementOf0(u,xC) ),
    file('NUM533+2.p',unknown),
    [] ).

cnf(36,plain,
    aElementOf0(skc1,xB),
    inference(res,[status(thm),theory(equality)],[5,13]),
    [iquote('0:Res:5.0,13.0')] ).

cnf(42,plain,
    ~ aElementOf0(skc1,xB),
    inference(res,[status(thm),theory(equality)],[14,8]),
    [iquote('0:Res:14.1,8.0')] ).

cnf(46,plain,
    $false,
    inference(mrr,[status(thm)],[42,36]),
    [iquote('0:MRR:42.0,36.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jul  6 03:19:18 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.45  
% 0.20/0.45  SPASS V 3.9 
% 0.20/0.45  SPASS beiseite: Proof found.
% 0.20/0.45  % SZS status Theorem
% 0.20/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.45  SPASS derived 20 clauses, backtracked 0 clauses, performed 0 splits and kept 27 clauses.
% 0.20/0.45  SPASS allocated 97721 KBytes.
% 0.20/0.45  SPASS spent	0:00:00.09 on the problem.
% 0.20/0.45  		0:00:00.04 for the input.
% 0.20/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.45  		0:00:00.00 for inferences.
% 0.20/0.45  		0:00:00.00 for the backtracking.
% 0.20/0.45  		0:00:00.00 for the reduction.
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  Here is a proof with depth 1, length 7 :
% 0.20/0.45  % SZS output start Refutation
% See solution above
% 0.20/0.45  Formulae used in the proof : m__
% 0.20/0.45  
%------------------------------------------------------------------------------