%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET055-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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   : Unsatisfiable 0.21s 0.45s
% Output   : Refutation 0.21s
% 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    :    9 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(74,axiom,
    ( ~ subclass(u,v)
    | ~ subclass(v,u)
    | equalish(v,u) ),
    file('SET055-7.p',unknown),
    [] ).

cnf(163,axiom,
    subclass(u,u),
    file('SET055-7.p',unknown),
    [] ).

cnf(165,axiom,
    ~ equalish(x__dfg,x__dfg),
    file('SET055-7.p',unknown),
    [] ).

cnf(166,plain,
    ( ~ subclass(x__dfg,x__dfg)
    | ~ subclass(x__dfg,x__dfg) ),
    inference(res,[status(thm),theory(equality)],[74,165]),
    [iquote('0:Res:74.2,165.0')] ).

cnf(170,plain,
    ~ subclass(x__dfg,x__dfg),
    inference(obv,[status(thm),theory(equality)],[166]),
    [iquote('0:Obv:166.0')] ).

cnf(171,plain,
    $false,
    inference(mrr,[status(thm)],[170,163]),
    [iquote('0:MRR:170.0,163.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET055-7 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14  % Command  : run_spass %d %s
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Sat Jul  9 19:49:06 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.21/0.45  
% 0.21/0.45  SPASS V 3.9 
% 0.21/0.45  SPASS beiseite: Proof found.
% 0.21/0.45  % SZS status Theorem
% 0.21/0.45  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.45  SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 166 clauses.
% 0.21/0.45  SPASS allocated 75826 KBytes.
% 0.21/0.45  SPASS spent	0:00:00.08 on the problem.
% 0.21/0.45  		0:00:00.04 for the input.
% 0.21/0.45  		0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.45  		0:00:00.00 for inferences.
% 0.21/0.45  		0:00:00.00 for the backtracking.
% 0.21/0.45  		0:00:00.01 for the reduction.
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  Here is a proof with depth 1, length 6 :
% 0.21/0.45  % SZS output start Refutation
% See solution above
% 0.21/0.45  Formulae used in the proof : subclass_implies_equal subclass_is_reflexive prove_reflexivity
% 0.21/0.45  
%------------------------------------------------------------------------------