%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC405+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n029.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 22:03:52 EDT 2022

% Result   : Theorem 0.77s 0.95s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   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    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ssItem(skc7),
    file('SWC405+1.p',unknown),
    [] ).

cnf(14,axiom,
    memberP(skc5,skc7),
    file('SWC405+1.p',unknown),
    [] ).

cnf(53,axiom,
    ~ memberP(skc6,skc7),
    file('SWC405+1.p',unknown),
    [] ).

cnf(84,axiom,
    ( ~ ssItem(u)
    | ~ memberP(skc5,u)
    | memberP(skc6,u) ),
    file('SWC405+1.p',unknown),
    [] ).

cnf(1465,plain,
    ( ~ ssItem(skc7)
    | ~ memberP(skc5,skc7) ),
    inference(res,[status(thm),theory(equality)],[84,53]),
    [iquote('0:Res:84.2,53.0')] ).

cnf(1466,plain,
    ~ memberP(skc5,skc7),
    inference(ssi,[status(thm)],[1465,1]),
    [iquote('0:SSi:1465.0,1.0')] ).

cnf(1467,plain,
    $false,
    inference(mrr,[status(thm)],[1466,14]),
    [iquote('0:MRR:1466.0,14.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWC405+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n029.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 12 10:10:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.77/0.95  
% 0.77/0.95  SPASS V 3.9 
% 0.77/0.95  SPASS beiseite: Proof found.
% 0.77/0.95  % SZS status Theorem
% 0.77/0.95  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.77/0.95  SPASS derived 930 clauses, backtracked 567 clauses, performed 26 splits and kept 1303 clauses.
% 0.77/0.95  SPASS allocated 99130 KBytes.
% 0.77/0.95  SPASS spent	0:00:00.60 on the problem.
% 0.77/0.95  		0:00:00.02 for the input.
% 0.77/0.95  		0:00:00.03 for the FLOTTER CNF translation.
% 0.77/0.95  		0:00:00.00 for inferences.
% 0.77/0.95  		0:00:00.01 for the backtracking.
% 0.77/0.95  		0:00:00.38 for the reduction.
% 0.77/0.95  
% 0.77/0.95  
% 0.77/0.95  Here is a proof with depth 1, length 7 :
% 0.77/0.95  % SZS output start Refutation
% See solution above
% 0.77/0.95  Formulae used in the proof : co1
% 0.77/0.95  
%------------------------------------------------------------------------------