%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC408+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n016.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 22:03:53 EDT 2022

% Result   : Theorem 7.10s 7.30s
% Output   : Refutation 7.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   7 unt;   0 nHn;  12 RR)
%            Number of literals    :   26 (   0 equ;  15 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 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,
    ssItem(skc7),
    file('SWC408+1.p',unknown),
    [] ).

cnf(2,axiom,
    ssList(skc6),
    file('SWC408+1.p',unknown),
    [] ).

cnf(14,axiom,
    memberP(skc6,skc7),
    file('SWC408+1.p',unknown),
    [] ).

cnf(53,axiom,
    ~ memberP(skc5,skc7),
    file('SWC408+1.p',unknown),
    [] ).

cnf(61,axiom,
    equal(app(skc6,skc6),skc5),
    file('SWC408+1.p',unknown),
    [] ).

cnf(144,axiom,
    ( ~ ssList(u)
    | ~ ssList(v)
    | ~ ssItem(w)
    | ~ memberP(u,w)
    | memberP(app(v,u),w) ),
    file('SWC408+1.p',unknown),
    [] ).

cnf(3829,plain,
    ( ~ ssList(skc6)
    | ~ ssList(skc6)
    | ~ ssItem(u)
    | ~ memberP(skc6,u)
    | memberP(skc5,u) ),
    inference(spr,[status(thm),theory(equality)],[61,144]),
    [iquote('0:SpR:61.0,144.4')] ).

cnf(3844,plain,
    ( ~ ssList(skc6)
    | ~ ssItem(u)
    | ~ memberP(skc6,u)
    | memberP(skc5,u) ),
    inference(obv,[status(thm),theory(equality)],[3829]),
    [iquote('0:Obv:3829.0')] ).

cnf(8423,plain,
    ( ~ ssItem(u)
    | ~ memberP(skc6,u)
    | memberP(skc5,u) ),
    inference(ssi,[status(thm)],[3844,2]),
    [iquote('0:SSi:3844.0,2.0')] ).

cnf(8939,plain,
    ( ~ ssItem(skc7)
    | memberP(skc5,skc7) ),
    inference(res,[status(thm),theory(equality)],[14,8423]),
    [iquote('0:Res:14.0,8423.1')] ).

cnf(8941,plain,
    memberP(skc5,skc7),
    inference(ssi,[status(thm)],[8939,1]),
    [iquote('0:SSi:8939.0,1.0')] ).

cnf(8942,plain,
    $false,
    inference(mrr,[status(thm)],[8941,53]),
    [iquote('0:MRR:8941.0,53.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SWC408+1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.10  % Command  : run_spass %d %s
% 0.09/0.30  % Computer : n016.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 600
% 0.09/0.30  % DateTime : Sun Jun 12 16:09:43 EDT 2022
% 0.09/0.30  % CPUTime  : 
% 7.10/7.30  
% 7.10/7.30  SPASS V 3.9 
% 7.10/7.30  SPASS beiseite: Proof found.
% 7.10/7.30  % SZS status Theorem
% 7.10/7.30  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 7.10/7.30  SPASS derived 5251 clauses, backtracked 1833 clauses, performed 68 splits and kept 3979 clauses.
% 7.10/7.30  SPASS allocated 105810 KBytes.
% 7.10/7.30  SPASS spent	0:00:06.71 on the problem.
% 7.10/7.30  		0:00:00.03 for the input.
% 7.10/7.30  		0:00:00.05 for the FLOTTER CNF translation.
% 7.10/7.30  		0:00:00.11 for inferences.
% 7.10/7.30  		0:00:00.11 for the backtracking.
% 7.10/7.30  		0:00:06.16 for the reduction.
% 7.10/7.30  
% 7.10/7.30  
% 7.10/7.30  Here is a proof with depth 2, length 12 :
% 7.10/7.30  % SZS output start Refutation
% See solution above
% 7.10/7.30  Formulae used in the proof : co1 ax36
% 7.10/7.30  
%------------------------------------------------------------------------------