%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET056+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n003.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 05:23:13 EDT 2022

% Result   : Theorem 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   15 (   5 unt;   4 nHn;  15 RR)
%            Number of literals    :   26 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ~ equal(skc5,skc4),
    file('SET056+1.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ member(u,skc4)
    | member(u,skc5) ),
    file('SET056+1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ member(u,skc5)
    | member(u,skc4) ),
    file('SET056+1.p',unknown),
    [] ).

cnf(24,axiom,
    ( subclass(u,v)
    | member(skf5(v,u),u) ),
    file('SET056+1.p',unknown),
    [] ).

cnf(38,axiom,
    ( ~ member(skf5(u,v),u)
    | subclass(w,u) ),
    file('SET056+1.p',unknown),
    [] ).

cnf(57,axiom,
    ( ~ subclass(u,v)
    | ~ subclass(v,u)
    | equal(v,u) ),
    file('SET056+1.p',unknown),
    [] ).

cnf(94,plain,
    ( ~ subclass(skc4,skc5)
    | ~ subclass(skc5,skc4) ),
    inference(res,[status(thm),theory(equality)],[57,5]),
    [iquote('0:Res:57.2,5.0')] ).

cnf(166,plain,
    ( subclass(skc5,u)
    | member(skf5(u,skc5),skc4) ),
    inference(res,[status(thm),theory(equality)],[24,17]),
    [iquote('0:Res:24.1,17.0')] ).

cnf(212,plain,
    ( ~ member(skf5(skc5,u),skc4)
    | subclass(v,skc5) ),
    inference(res,[status(thm),theory(equality)],[16,38]),
    [iquote('0:Res:16.1,38.0')] ).

cnf(218,plain,
    ( subclass(skc5,skc4)
    | subclass(u,skc4) ),
    inference(res,[status(thm),theory(equality)],[166,38]),
    [iquote('0:Res:166.1,38.0')] ).

cnf(220,plain,
    subclass(skc5,skc4),
    inference(con,[status(thm)],[218]),
    [iquote('0:Con:218.1')] ).

cnf(221,plain,
    ~ subclass(skc4,skc5),
    inference(mrr,[status(thm)],[94,220]),
    [iquote('0:MRR:94.1,220.0')] ).

cnf(228,plain,
    ( subclass(skc4,skc5)
    | subclass(u,skc5) ),
    inference(res,[status(thm),theory(equality)],[24,212]),
    [iquote('0:Res:24.1,212.0')] ).

cnf(230,plain,
    subclass(skc4,skc5),
    inference(con,[status(thm)],[228]),
    [iquote('0:Con:228.1')] ).

cnf(231,plain,
    $false,
    inference(mrr,[status(thm)],[230,221]),
    [iquote('0:MRR:230.0,221.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET056+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 22:30:14 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.50  
% 0.21/0.50  SPASS V 3.9 
% 0.21/0.50  SPASS beiseite: Proof found.
% 0.21/0.50  % SZS status Theorem
% 0.21/0.50  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.50  SPASS derived 124 clauses, backtracked 13 clauses, performed 1 splits and kept 197 clauses.
% 0.21/0.50  SPASS allocated 98319 KBytes.
% 0.21/0.50  SPASS spent	0:00:00.14 on the problem.
% 0.21/0.50  		0:00:00.03 for the input.
% 0.21/0.50  		0:00:00.06 for the FLOTTER CNF translation.
% 0.21/0.50  		0:00:00.00 for inferences.
% 0.21/0.50  		0:00:00.00 for the backtracking.
% 0.21/0.50  		0:00:00.01 for the reduction.
% 0.21/0.50  
% 0.21/0.50  
% 0.21/0.50  Here is a proof with depth 2, length 15 :
% 0.21/0.50  % SZS output start Refutation
% See solution above
% 0.21/0.50  Formulae used in the proof : equality1 subclass_defn extensionality
% 0.21/0.50  
%------------------------------------------------------------------------------