%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n023.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 05:27:21 EDT 2022

% Result   : Theorem 0.17s 0.42s
% Output   : Refutation 0.17s
% 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;   3 neg)
%            Maximal clause size   :    2 (   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,
    subset(empty_set,u),
    file('SET604+3.p',unknown),
    [] ).

cnf(4,axiom,
    ~ equal(difference(empty_set,skc1),empty_set),
    file('SET604+3.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ subset(u,v)
    | equal(difference(u,v),empty_set) ),
    file('SET604+3.p',unknown),
    [] ).

cnf(18,plain,
    ~ subset(empty_set,skc1),
    inference(res,[status(thm),theory(equality)],[11,4]),
    [iquote('0:Res:11.1,4.0')] ).

cnf(21,plain,
    $false,
    inference(mrr,[status(thm)],[18,1]),
    [iquote('0:MRR:18.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sun Jul 10 14:30:25 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.42  
% 0.17/0.42  SPASS V 3.9 
% 0.17/0.42  SPASS beiseite: Proof found.
% 0.17/0.42  % SZS status Theorem
% 0.17/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.17/0.42  SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 17 clauses.
% 0.17/0.42  SPASS allocated 97693 KBytes.
% 0.17/0.42  SPASS spent	0:00:00.09 on the problem.
% 0.17/0.42  		0:00:00.04 for the input.
% 0.17/0.42  		0:00:00.03 for the FLOTTER CNF translation.
% 0.17/0.42  		0:00:00.00 for inferences.
% 0.17/0.42  		0:00:00.00 for the backtracking.
% 0.17/0.42  		0:00:00.00 for the reduction.
% 0.17/0.42  
% 0.17/0.42  
% 0.17/0.42  Here is a proof with depth 1, length 5 :
% 0.17/0.42  % SZS output start Refutation
% See solution above
% 0.17/0.42  Formulae used in the proof : empty_set_subset prove_no_difference_with_empty_set difference_empty_set
% 0.17/0.42  
%------------------------------------------------------------------------------