%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM609+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n009.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 14:28:04 EDT 2022

% Result   : Theorem 1.07s 1.26s
% Output   : Refutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   2 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    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(18,axiom,
    aElementOf0(skc3,xP),
    file('NUM609+3.p',unknown),
    [] ).

cnf(31,axiom,
    ~ aElementOf0(skc3,xQ),
    file('NUM609+3.p',unknown),
    [] ).

cnf(91,axiom,
    ( ~ aElementOf0(u,xP)
    | aElementOf0(u,xQ) ),
    file('NUM609+3.p',unknown),
    [] ).

cnf(486,plain,
    aElementOf0(skc3,xQ),
    inference(res,[status(thm),theory(equality)],[18,91]),
    [iquote('0:Res:18.0,91.0')] ).

cnf(542,plain,
    $false,
    inference(mrr,[status(thm)],[486,31]),
    [iquote('0:MRR:486.0,31.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM609+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.11  % Command  : run_spass %d %s
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jul  7 23:09:37 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 1.07/1.26  
% 1.07/1.26  SPASS V 3.9 
% 1.07/1.26  SPASS beiseite: Proof found.
% 1.07/1.26  % SZS status Theorem
% 1.07/1.26  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.07/1.26  SPASS derived 57 clauses, backtracked 0 clauses, performed 0 splits and kept 363 clauses.
% 1.07/1.26  SPASS allocated 104755 KBytes.
% 1.07/1.26  SPASS spent	0:00:00.92 on the problem.
% 1.07/1.26  		0:00:00.04 for the input.
% 1.07/1.26  		0:00:00.81 for the FLOTTER CNF translation.
% 1.07/1.26  		0:00:00.00 for inferences.
% 1.07/1.26  		0:00:00.00 for the backtracking.
% 1.07/1.26  		0:00:00.04 for the reduction.
% 1.07/1.26  
% 1.07/1.26  
% 1.07/1.26  Here is a proof with depth 1, length 5 :
% 1.07/1.26  % SZS output start Refutation
% See solution above
% 1.07/1.26  Formulae used in the proof : m__ m__5164
% 1.07/1.26  
%------------------------------------------------------------------------------