%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU083+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n027.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 : Tue Jul 19 14:33:53 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    finite(skc24),
    file('SEU083+1.p',unknown),
    [] ).

cnf(2,axiom,
    finite(skc23),
    file('SEU083+1.p',unknown),
    [] ).

cnf(99,axiom,
    ~ finite(set_union2(skc24,skc23)),
    file('SEU083+1.p',unknown),
    [] ).

cnf(122,axiom,
    equal(set_union2(u,v),set_union2(v,u)),
    file('SEU083+1.p',unknown),
    [] ).

cnf(141,axiom,
    ( ~ finite(u)
    | ~ finite(v)
    | finite(set_union2(v,u)) ),
    file('SEU083+1.p',unknown),
    [] ).

cnf(145,plain,
    ~ finite(set_union2(skc23,skc24)),
    inference(rew,[status(thm),theory(equality)],[122,99]),
    [iquote('0:Rew:122.0,99.0')] ).

cnf(155,plain,
    ( ~ finite(skc23)
    | ~ finite(skc24) ),
    inference(res,[status(thm),theory(equality)],[141,145]),
    [iquote('0:Res:141.2,145.0')] ).

cnf(157,plain,
    $false,
    inference(mrr,[status(thm)],[155,2,1]),
    [iquote('0:MRR:155.0,155.1,2.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU083+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n027.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 : Sun Jun 19 08:30:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  
% 0.19/0.44  SPASS V 3.9 
% 0.19/0.44  SPASS beiseite: Proof found.
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.44  SPASS derived 10 clauses, backtracked 0 clauses, performed 0 splits and kept 136 clauses.
% 0.19/0.44  SPASS allocated 97806 KBytes.
% 0.19/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.19/0.44  		0:00:00.04 for the input.
% 0.19/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.44  		0:00:00.00 for inferences.
% 0.19/0.44  		0:00:00.00 for the backtracking.
% 0.19/0.44  		0:00:00.00 for the reduction.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Here is a proof with depth 1, length 8 :
% 0.19/0.44  % SZS output start Refutation
% See solution above
% 0.19/0.44  Formulae used in the proof : t14_finset_1 commutativity_k2_xboole_0 l3_finset_1
% 0.19/0.44  
%------------------------------------------------------------------------------