%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC398+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n013.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 22:03:49 EDT 2022

% Result   : Theorem 7.18s 7.39s
% Output   : Refutation 7.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   9 unt;   0 nHn;  13 RR)
%            Number of literals    :   24 (   0 equ;  14 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ssItem(skc9),
    file('SWC398+1.p',unknown),
    [] ).

cnf(2,axiom,
    ssList(skc8),
    file('SWC398+1.p',unknown),
    [] ).

cnf(4,axiom,
    ssList(skc6),
    file('SWC398+1.p',unknown),
    [] ).

cnf(5,axiom,
    equalelemsP(skc6),
    file('SWC398+1.p',unknown),
    [] ).

cnf(16,axiom,
    memberP(skc6,skc9),
    file('SWC398+1.p',unknown),
    [] ).

cnf(55,axiom,
    ~ memberP(skc7,skc9),
    file('SWC398+1.p',unknown),
    [] ).

cnf(63,axiom,
    equal(app(skc6,skc8),skc7),
    file('SWC398+1.p',unknown),
    [] ).

cnf(146,axiom,
    ( ~ ssList(u)
    | ~ ssList(v)
    | ~ ssItem(w)
    | ~ memberP(v,w)
    | memberP(app(v,u),w) ),
    file('SWC398+1.p',unknown),
    [] ).

cnf(3392,plain,
    ( ~ ssList(skc8)
    | ~ ssList(skc6)
    | ~ ssItem(u)
    | ~ memberP(skc6,u)
    | memberP(skc7,u) ),
    inference(spr,[status(thm),theory(equality)],[63,146]),
    [iquote('0:SpR:63.0,146.4')] ).

cnf(11208,plain,
    ( ~ ssItem(u)
    | ~ memberP(skc6,u)
    | memberP(skc7,u) ),
    inference(ssi,[status(thm)],[3392,4,5,2]),
    [iquote('0:SSi:3392.1,3392.0,4.0,5.0,2.0')] ).

cnf(11977,plain,
    ( ~ ssItem(skc9)
    | ~ memberP(skc6,skc9) ),
    inference(res,[status(thm),theory(equality)],[11208,55]),
    [iquote('0:Res:11208.2,55.0')] ).

cnf(11978,plain,
    ~ memberP(skc6,skc9),
    inference(ssi,[status(thm)],[11977,1]),
    [iquote('0:SSi:11977.0,1.0')] ).

cnf(11979,plain,
    $false,
    inference(mrr,[status(thm)],[11978,16]),
    [iquote('0:MRR:11978.0,16.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SWC398+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.11  % Command  : run_spass %d %s
% 0.10/0.32  % Computer : n013.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 600
% 0.10/0.32  % DateTime : Sat Jun 11 22:34:14 EDT 2022
% 0.10/0.32  % CPUTime  : 
% 7.18/7.39  
% 7.18/7.39  SPASS V 3.9 
% 7.18/7.39  SPASS beiseite: Proof found.
% 7.18/7.39  % SZS status Theorem
% 7.18/7.39  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 7.18/7.39  SPASS derived 7831 clauses, backtracked 2589 clauses, performed 73 splits and kept 4921 clauses.
% 7.18/7.39  SPASS allocated 108023 KBytes.
% 7.18/7.39  SPASS spent	0:00:06.62 on the problem.
% 7.18/7.39  		0:00:00.04 for the input.
% 7.18/7.39  		0:00:00.07 for the FLOTTER CNF translation.
% 7.18/7.39  		0:00:00.10 for inferences.
% 7.18/7.39  		0:00:00.09 for the backtracking.
% 7.18/7.39  		0:00:06.11 for the reduction.
% 7.18/7.39  
% 7.18/7.39  
% 7.18/7.39  Here is a proof with depth 2, length 13 :
% 7.18/7.39  % SZS output start Refutation
% See solution above
% 7.18/7.39  Formulae used in the proof : co1 ax36
% 7.18/7.39  
%------------------------------------------------------------------------------