%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM552+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n014.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 14:27:26 EDT 2022

% Result   : Theorem 0.35s 0.58s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   13 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(10,axiom,
    aElementOf0(xx,xQ),
    file('NUM552+3.p',unknown),
    [] ).

cnf(16,axiom,
    ~ aElementOf0(xx,xT),
    file('NUM552+3.p',unknown),
    [] ).

cnf(27,axiom,
    aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
    file('NUM552+3.p',unknown),
    [] ).

cnf(68,axiom,
    ( ~ aElementOf0(u,slbdtsldtrb0(xS,xk))
    | aElementOf0(u,slbdtsldtrb0(xT,xk)) ),
    file('NUM552+3.p',unknown),
    [] ).

cnf(77,axiom,
    ( ~ aElementOf0(u,v)
    | ~ aElementOf0(v,slbdtsldtrb0(xT,xk))
    | aElementOf0(u,xT) ),
    file('NUM552+3.p',unknown),
    [] ).

cnf(161,plain,
    ( ~ aElementOf0(xQ,slbdtsldtrb0(xT,xk))
    | aElementOf0(xx,xT) ),
    inference(res,[status(thm),theory(equality)],[10,77]),
    [iquote('0:Res:10.0,77.0')] ).

cnf(190,plain,
    ~ aElementOf0(xQ,slbdtsldtrb0(xT,xk)),
    inference(mrr,[status(thm)],[161,16]),
    [iquote('0:MRR:161.1,16.0')] ).

cnf(355,plain,
    ~ aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
    inference(res,[status(thm),theory(equality)],[68,190]),
    [iquote('0:Res:68.1,190.0')] ).

cnf(362,plain,
    $false,
    inference(mrr,[status(thm)],[355,27]),
    [iquote('0:MRR:355.0,27.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM552+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul  5 11:16:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.35/0.58  
% 0.35/0.58  SPASS V 3.9 
% 0.35/0.58  SPASS beiseite: Proof found.
% 0.35/0.58  % SZS status Theorem
% 0.35/0.58  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.35/0.58  SPASS derived 159 clauses, backtracked 0 clauses, performed 0 splits and kept 233 clauses.
% 0.35/0.58  SPASS allocated 99762 KBytes.
% 0.35/0.58  SPASS spent	0:00:00.23 on the problem.
% 0.35/0.58  		0:00:00.04 for the input.
% 0.35/0.58  		0:00:00.14 for the FLOTTER CNF translation.
% 0.35/0.58  		0:00:00.00 for inferences.
% 0.35/0.58  		0:00:00.00 for the backtracking.
% 0.35/0.58  		0:00:00.01 for the reduction.
% 0.35/0.58  
% 0.35/0.58  
% 0.35/0.58  Here is a proof with depth 2, length 9 :
% 0.35/0.58  % SZS output start Refutation
% See solution above
% 0.35/0.58  Formulae used in the proof : m__ m__2270 m__2227
% 0.35/0.58  
%------------------------------------------------------------------------------