%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET027+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n008.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 05:22:50 EDT 2022

% Result   : Theorem 0.21s 0.46s
% Output   : Refutation 0.21s
% 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(1,axiom,
    subset(skc5,skc3),
    file('SET027+4.p',unknown),
    [] ).

cnf(2,axiom,
    subset(skc3,skc4),
    file('SET027+4.p',unknown),
    [] ).

cnf(3,axiom,
    ~ subset(skc5,skc4),
    file('SET027+4.p',unknown),
    [] ).

cnf(9,axiom,
    ( subset(u,v)
    | member(skf3(v,u),u) ),
    file('SET027+4.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ member(skf3(u,v),u)
    | subset(w,u) ),
    file('SET027+4.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ member(u,v)
    | ~ subset(v,w)
    | member(u,w) ),
    file('SET027+4.p',unknown),
    [] ).

cnf(34,plain,
    ( ~ member(u,skc3)
    | member(u,skc4) ),
    inference(res,[status(thm),theory(equality)],[2,25]),
    [iquote('0:Res:2.0,25.0')] ).

cnf(38,plain,
    ( ~ member(u,skc5)
    | member(u,skc3) ),
    inference(res,[status(thm),theory(equality)],[1,25]),
    [iquote('0:Res:1.0,25.0')] ).

cnf(41,plain,
    member(skf3(skc4,skc5),skc5),
    inference(res,[status(thm),theory(equality)],[9,3]),
    [iquote('0:Res:9.1,3.0')] ).

cnf(43,plain,
    ~ member(skf3(skc4,u),skc4),
    inference(res,[status(thm),theory(equality)],[14,3]),
    [iquote('0:Res:14.1,3.0')] ).

cnf(50,plain,
    member(skf3(skc4,skc5),skc3),
    inference(res,[status(thm),theory(equality)],[41,38]),
    [iquote('0:Res:41.0,38.0')] ).

cnf(55,plain,
    ~ member(skf3(skc4,u),skc3),
    inference(res,[status(thm),theory(equality)],[34,43]),
    [iquote('0:Res:34.1,43.0')] ).

cnf(56,plain,
    $false,
    inference(unc,[status(thm)],[55,50]),
    [iquote('0:UnC:55.0,50.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SET027+4 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.14  % Command  : run_spass %d %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 08:54:23 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  
% 0.21/0.46  SPASS V 3.9 
% 0.21/0.46  SPASS beiseite: Proof found.
% 0.21/0.46  % SZS status Theorem
% 0.21/0.46  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.46  SPASS derived 23 clauses, backtracked 0 clauses, performed 0 splits and kept 47 clauses.
% 0.21/0.46  SPASS allocated 85419 KBytes.
% 0.21/0.46  SPASS spent	0:00:00.10 on the problem.
% 0.21/0.46  		0:00:00.03 for the input.
% 0.21/0.46  		0:00:00.04 for the FLOTTER CNF translation.
% 0.21/0.46  		0:00:00.00 for inferences.
% 0.21/0.46  		0:00:00.00 for the backtracking.
% 0.21/0.46  		0:00:00.00 for the reduction.
% 0.21/0.46  
% 0.21/0.46  
% 0.21/0.46  Here is a proof with depth 2, length 13 :
% 0.21/0.46  % SZS output start Refutation
% See solution above
% 0.21/0.46  Formulae used in the proof : thI03 subset
% 0.21/0.46  
%------------------------------------------------------------------------------