%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC353+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n014.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 22:03:31 EDT 2022

% Result   : Theorem 6.14s 6.39s
% Output   : Refutation 6.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  13 RR)
%            Number of literals    :   25 (   0 equ;  15 neg)
%            Maximal clause size   :    5 (   1 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,
    ssList(skc7),
    file('SWC353+1.p',unknown),
    [] ).

cnf(3,axiom,
    ssList(skc5),
    file('SWC353+1.p',unknown),
    [] ).

cnf(4,axiom,
    totalorderedP(skc5),
    file('SWC353+1.p',unknown),
    [] ).

cnf(53,axiom,
    ~ frontsegP(skc6,skc5),
    file('SWC353+1.p',unknown),
    [] ).

cnf(61,axiom,
    equal(app(skc5,skc7),skc6),
    file('SWC353+1.p',unknown),
    [] ).

cnf(63,axiom,
    ( ~ ssList(u)
    | frontsegP(u,u) ),
    file('SWC353+1.p',unknown),
    [] ).

cnf(148,axiom,
    ( ~ ssList(u)
    | ~ ssList(v)
    | ~ ssList(w)
    | ~ frontsegP(w,v)
    | frontsegP(app(w,u),v) ),
    file('SWC353+1.p',unknown),
    [] ).

cnf(280,plain,
    frontsegP(skc5,skc5),
    inference(res,[status(thm),theory(equality)],[3,63]),
    [iquote('0:Res:3.0,63.0')] ).

cnf(3033,plain,
    ( ~ ssList(skc7)
    | ~ ssList(u)
    | ~ ssList(skc5)
    | ~ frontsegP(skc5,u)
    | frontsegP(skc6,u) ),
    inference(spr,[status(thm),theory(equality)],[61,148]),
    [iquote('0:SpR:61.0,148.4')] ).

cnf(9324,plain,
    ( ~ ssList(u)
    | ~ frontsegP(skc5,u)
    | frontsegP(skc6,u) ),
    inference(ssi,[status(thm)],[3033,4,3,1]),
    [iquote('0:SSi:3033.2,3033.0,4.0,3.0,1.0')] ).

cnf(10156,plain,
    ( ~ ssList(skc5)
    | ~ frontsegP(skc5,skc5) ),
    inference(res,[status(thm),theory(equality)],[9324,53]),
    [iquote('0:Res:9324.2,53.0')] ).

cnf(10310,plain,
    ~ frontsegP(skc5,skc5),
    inference(ssi,[status(thm)],[10156,4,3]),
    [iquote('0:SSi:10156.0,4.0,3.0')] ).

cnf(10311,plain,
    $false,
    inference(mrr,[status(thm)],[10310,280]),
    [iquote('0:MRR:10310.0,280.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC353+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 11 20:12:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 6.14/6.39  
% 6.14/6.39  SPASS V 3.9 
% 6.14/6.39  SPASS beiseite: Proof found.
% 6.14/6.39  % SZS status Theorem
% 6.14/6.39  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 6.14/6.39  SPASS derived 6444 clauses, backtracked 2252 clauses, performed 51 splits and kept 4222 clauses.
% 6.14/6.39  SPASS allocated 106860 KBytes.
% 6.14/6.39  SPASS spent	0:00:05.74 on the problem.
% 6.14/6.39  		0:00:00.04 for the input.
% 6.14/6.39  		0:00:00.07 for the FLOTTER CNF translation.
% 6.14/6.39  		0:00:00.08 for inferences.
% 6.14/6.39  		0:00:00.07 for the backtracking.
% 6.14/6.39  		0:00:05.28 for the reduction.
% 6.14/6.39  
% 6.14/6.39  
% 6.14/6.39  Here is a proof with depth 2, length 13 :
% 6.14/6.39  % SZS output start Refutation
% See solution above
% 6.14/6.39  Formulae used in the proof : co1 ax42 ax43
% 6.14/6.39  
%------------------------------------------------------------------------------