%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET086+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 05:23:48 EDT 2022

% Result   : Theorem 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   4 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; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    member(skc5,universal_class),
    file('SET086+1.p',unknown),
    [] ).

cnf(22,axiom,
    ( ~ equal(u,skc4)
    | equal(singleton(skc5),skc4) ),
    file('SET086+1.p',unknown),
    [] ).

cnf(37,axiom,
    ( ~ member(u,universal_class)
    | ~ equal(singleton(u),skc4) ),
    file('SET086+1.p',unknown),
    [] ).

cnf(93,plain,
    equal(singleton(skc5),skc4),
    inference(aed,[status(thm),theory(equality)],[22]),
    [iquote('0:AED:22.0')] ).

cnf(129,plain,
    ~ member(skc5,universal_class),
    inference(res,[status(thm),theory(equality)],[93,37]),
    [iquote('0:Res:93.0,37.1')] ).

cnf(140,plain,
    $false,
    inference(mrr,[status(thm)],[129,3]),
    [iquote('0:MRR:129.0,3.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET086+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 10:55:43 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.47  
% 0.19/0.47  SPASS V 3.9 
% 0.19/0.47  SPASS beiseite: Proof found.
% 0.19/0.47  % SZS status Theorem
% 0.19/0.47  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.47  SPASS derived 40 clauses, backtracked 0 clauses, performed 0 splits and kept 95 clauses.
% 0.19/0.47  SPASS allocated 98330 KBytes.
% 0.19/0.47  SPASS spent	0:00:00.13 on the problem.
% 0.19/0.47  		0:00:00.04 for the input.
% 0.19/0.47  		0:00:00.06 for the FLOTTER CNF translation.
% 0.19/0.47  		0:00:00.00 for inferences.
% 0.19/0.47  		0:00:00.00 for the backtracking.
% 0.19/0.47  		0:00:00.01 for the reduction.
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  Here is a proof with depth 1, length 6 :
% 0.19/0.47  % SZS output start Refutation
% See solution above
% 0.19/0.47  Formulae used in the proof : member_of_substitution infinity
% 0.19/0.47  
%------------------------------------------------------------------------------