%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM548+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n017.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 14:27:23 EDT 2022

% Result   : Theorem 0.18s 0.55s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    aSet0(xQ),
    file('NUM548+3.p',unknown),
    [] ).

cnf(7,axiom,
    ~ isFinite0(xQ),
    file('NUM548+3.p',unknown),
    [] ).

cnf(9,axiom,
    aElementOf0(xk,szNzAzT0),
    file('NUM548+3.p',unknown),
    [] ).

cnf(18,axiom,
    equal(sbrdtbr0(xQ),xk),
    file('NUM548+3.p',unknown),
    [] ).

cnf(51,axiom,
    ( ~ aSet0(u)
    | ~ aElementOf0(sbrdtbr0(u),szNzAzT0)
    | isFinite0(u) ),
    file('NUM548+3.p',unknown),
    [] ).

cnf(149,plain,
    ( ~ aSet0(xQ)
    | ~ aElementOf0(sbrdtbr0(xQ),szNzAzT0) ),
    inference(res,[status(thm),theory(equality)],[51,7]),
    [iquote('0:Res:51.2,7.0')] ).

cnf(151,plain,
    ( ~ aSet0(xQ)
    | ~ aElementOf0(xk,szNzAzT0) ),
    inference(rew,[status(thm),theory(equality)],[18,149]),
    [iquote('0:Rew:18.0,149.1')] ).

cnf(152,plain,
    $false,
    inference(mrr,[status(thm)],[151,6,9]),
    [iquote('0:MRR:151.0,151.1,6.0,9.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM548+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.13/0.32  % Computer : n017.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Thu Jul  7 01:41:59 EDT 2022
% 0.13/0.32  % CPUTime  : 
% 0.18/0.55  
% 0.18/0.55  SPASS V 3.9 
% 0.18/0.55  SPASS beiseite: Proof found.
% 0.18/0.55  % SZS status Theorem
% 0.18/0.55  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.55  SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 138 clauses.
% 0.18/0.55  SPASS allocated 99870 KBytes.
% 0.18/0.55  SPASS spent	0:00:00.21 on the problem.
% 0.18/0.55  		0:00:00.04 for the input.
% 0.18/0.55  		0:00:00.14 for the FLOTTER CNF translation.
% 0.18/0.55  		0:00:00.00 for inferences.
% 0.18/0.55  		0:00:00.00 for the backtracking.
% 0.18/0.55  		0:00:00.01 for the reduction.
% 0.18/0.55  
% 0.18/0.55  
% 0.18/0.55  Here is a proof with depth 1, length 8 :
% 0.18/0.55  % SZS output start Refutation
% See solution above
% 0.18/0.55  Formulae used in the proof : m__2270 m__ m__2202 mCardNum
% 0.18/0.55  
%------------------------------------------------------------------------------