%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% 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 14:34:05 EDT 2022

% Result   : Theorem 0.18s 0.45s
% Output   : Refutation 0.18s
% 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,
    subset(skc7,skc5),
    file('SEU121+2.p',unknown),
    [] ).

cnf(4,axiom,
    subset(skc5,skc6),
    file('SEU121+2.p',unknown),
    [] ).

cnf(7,axiom,
    ~ subset(skc7,skc6),
    file('SEU121+2.p',unknown),
    [] ).

cnf(16,axiom,
    ( subset(u,v)
    | in(skf6(v,u),u) ),
    file('SEU121+2.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ in(skf6(u,v),u)
    | subset(w,u) ),
    file('SEU121+2.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ in(u,v)
    | ~ subset(v,w)
    | in(u,w) ),
    file('SEU121+2.p',unknown),
    [] ).

cnf(34,plain,
    ( ~ in(u,skc5)
    | in(u,skc6) ),
    inference(res,[status(thm),theory(equality)],[4,25]),
    [iquote('0:Res:4.0,25.0')] ).

cnf(35,plain,
    ( ~ in(u,skc7)
    | in(u,skc5) ),
    inference(res,[status(thm),theory(equality)],[3,25]),
    [iquote('0:Res:3.0,25.0')] ).

cnf(36,plain,
    in(skf6(skc6,skc7),skc7),
    inference(res,[status(thm),theory(equality)],[16,7]),
    [iquote('0:Res:16.1,7.0')] ).

cnf(37,plain,
    ~ in(skf6(skc6,u),skc6),
    inference(res,[status(thm),theory(equality)],[19,7]),
    [iquote('0:Res:19.1,7.0')] ).

cnf(43,plain,
    in(skf6(skc6,skc7),skc5),
    inference(res,[status(thm),theory(equality)],[36,35]),
    [iquote('0:Res:36.0,35.0')] ).

cnf(67,plain,
    ~ in(skf6(skc6,u),skc5),
    inference(res,[status(thm),theory(equality)],[34,37]),
    [iquote('0:Res:34.1,37.0')] ).

cnf(69,plain,
    $false,
    inference(unc,[status(thm)],[67,43]),
    [iquote('0:UnC:67.0,43.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 11:48:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  
% 0.18/0.45  SPASS V 3.9 
% 0.18/0.45  SPASS beiseite: Proof found.
% 0.18/0.45  % SZS status Theorem
% 0.18/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.45  SPASS derived 32 clauses, backtracked 7 clauses, performed 1 splits and kept 58 clauses.
% 0.18/0.45  SPASS allocated 98045 KBytes.
% 0.18/0.45  SPASS spent	0:00:00.10 on the problem.
% 0.18/0.45  		0:00:00.04 for the input.
% 0.18/0.45  		0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.45  		0:00:00.00 for inferences.
% 0.18/0.45  		0:00:00.00 for the backtracking.
% 0.18/0.45  		0:00:00.00 for the reduction.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Here is a proof with depth 2, length 13 :
% 0.18/0.45  % SZS output start Refutation
% See solution above
% 0.18/0.45  Formulae used in the proof : t1_xboole_1 d3_tarski
% 0.18/0.45  
%------------------------------------------------------------------------------