%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET027+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 05:22:48 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   8 unt;   1 nHn;  13 RR)
%            Number of literals    :   19 (   0 equ;   8 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    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    subclass(skc7,skc5),
    file('SET027+1.p',unknown),
    [] ).

cnf(4,axiom,
    subclass(skc5,skc6),
    file('SET027+1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ subclass(skc7,skc6),
    file('SET027+1.p',unknown),
    [] ).

cnf(24,axiom,
    ( subclass(u,v)
    | member(skf5(v,u),u) ),
    file('SET027+1.p',unknown),
    [] ).

cnf(38,axiom,
    ( ~ member(skf5(u,v),u)
    | subclass(w,u) ),
    file('SET027+1.p',unknown),
    [] ).

cnf(56,axiom,
    ( ~ member(u,v)
    | ~ subclass(v,w)
    | member(u,w) ),
    file('SET027+1.p',unknown),
    [] ).

cnf(94,plain,
    ( ~ member(u,skc5)
    | member(u,skc6) ),
    inference(res,[status(thm),theory(equality)],[4,56]),
    [iquote('0:Res:4.0,56.0')] ).

cnf(98,plain,
    ( ~ member(u,skc7)
    | member(u,skc5) ),
    inference(res,[status(thm),theory(equality)],[3,56]),
    [iquote('0:Res:3.0,56.0')] ).

cnf(102,plain,
    member(skf5(skc6,skc7),skc7),
    inference(res,[status(thm),theory(equality)],[24,7]),
    [iquote('0:Res:24.1,7.0')] ).

cnf(104,plain,
    ~ member(skf5(skc6,u),skc6),
    inference(res,[status(thm),theory(equality)],[38,7]),
    [iquote('0:Res:38.1,7.0')] ).

cnf(109,plain,
    member(skf5(skc6,skc7),skc5),
    inference(res,[status(thm),theory(equality)],[102,98]),
    [iquote('0:Res:102.0,98.0')] ).

cnf(112,plain,
    ~ member(skf5(skc6,u),skc5),
    inference(res,[status(thm),theory(equality)],[94,104]),
    [iquote('0:Res:94.1,104.0')] ).

cnf(113,plain,
    $false,
    inference(unc,[status(thm)],[112,109]),
    [iquote('0:UnC:112.0,109.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET027+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 20:16:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.48  
% 0.19/0.48  SPASS V 3.9 
% 0.19/0.48  SPASS beiseite: Proof found.
% 0.19/0.48  % SZS status Theorem
% 0.19/0.48  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.48  SPASS derived 20 clauses, backtracked 0 clauses, performed 0 splits and kept 106 clauses.
% 0.19/0.48  SPASS allocated 98321 KBytes.
% 0.19/0.48  SPASS spent	0:00:00.12 on the problem.
% 0.19/0.48  		0:00:00.04 for the input.
% 0.19/0.48  		0:00:00.06 for the FLOTTER CNF translation.
% 0.19/0.48  		0:00:00.00 for inferences.
% 0.19/0.48  		0:00:00.00 for the backtracking.
% 0.19/0.48  		0:00:00.00 for the reduction.
% 0.19/0.48  
% 0.19/0.48  
% 0.19/0.48  Here is a proof with depth 2, length 13 :
% 0.19/0.48  % SZS output start Refutation
% See solution above
% 0.19/0.48  Formulae used in the proof : transitivity subclass_defn
% 0.19/0.48  
%------------------------------------------------------------------------------