%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC351+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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 22:03:30 EDT 2022

% Result   : Theorem 6.47s 6.65s
% Output   : Refutation 6.47s
% 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('SWC351+1.p',unknown),
    [] ).

cnf(3,axiom,
    ssList(skc5),
    file('SWC351+1.p',unknown),
    [] ).

cnf(4,axiom,
    strictorderedP(skc5),
    file('SWC351+1.p',unknown),
    [] ).

cnf(54,axiom,
    ~ frontsegP(skc6,skc5),
    file('SWC351+1.p',unknown),
    [] ).

cnf(62,axiom,
    equal(app(skc5,skc7),skc6),
    file('SWC351+1.p',unknown),
    [] ).

cnf(64,axiom,
    ( ~ ssList(u)
    | frontsegP(u,u) ),
    file('SWC351+1.p',unknown),
    [] ).

cnf(149,axiom,
    ( ~ ssList(u)
    | ~ ssList(v)
    | ~ ssList(w)
    | ~ frontsegP(w,v)
    | frontsegP(app(w,u),v) ),
    file('SWC351+1.p',unknown),
    [] ).

cnf(281,plain,
    frontsegP(skc5,skc5),
    inference(res,[status(thm),theory(equality)],[3,64]),
    [iquote('0:Res:3.0,64.0')] ).

cnf(3154,plain,
    ( ~ ssList(skc7)
    | ~ ssList(u)
    | ~ ssList(skc5)
    | ~ frontsegP(skc5,u)
    | frontsegP(skc6,u) ),
    inference(spr,[status(thm),theory(equality)],[62,149]),
    [iquote('0:SpR:62.0,149.4')] ).

cnf(9203,plain,
    ( ~ ssList(u)
    | ~ frontsegP(skc5,u)
    | frontsegP(skc6,u) ),
    inference(ssi,[status(thm)],[3154,4,3,1]),
    [iquote('0:SSi:3154.2,3154.0,4.0,3.0,1.0')] ).

cnf(10044,plain,
    ( ~ ssList(skc5)
    | ~ frontsegP(skc5,skc5) ),
    inference(res,[status(thm),theory(equality)],[9203,54]),
    [iquote('0:Res:9203.2,54.0')] ).

cnf(10168,plain,
    ~ frontsegP(skc5,skc5),
    inference(ssi,[status(thm)],[10044,4,3]),
    [iquote('0:SSi:10044.0,4.0,3.0')] ).

cnf(10169,plain,
    $false,
    inference(mrr,[status(thm)],[10168,281]),
    [iquote('0:MRR:10168.0,281.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem  : SWC351+1 : TPTP v8.1.0. Released v2.4.0.
% 0.05/0.14  % Command  : run_spass %d %s
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jun 12 20:07:56 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 6.47/6.65  
% 6.47/6.65  SPASS V 3.9 
% 6.47/6.65  SPASS beiseite: Proof found.
% 6.47/6.65  % SZS status Theorem
% 6.47/6.65  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 6.47/6.65  SPASS derived 6326 clauses, backtracked 2109 clauses, performed 50 splits and kept 4193 clauses.
% 6.47/6.65  SPASS allocated 106761 KBytes.
% 6.47/6.65  SPASS spent	0:00:05.97 on the problem.
% 6.47/6.65  		0:00:00.04 for the input.
% 6.47/6.65  		0:00:00.07 for the FLOTTER CNF translation.
% 6.47/6.65  		0:00:00.09 for inferences.
% 6.47/6.65  		0:00:00.08 for the backtracking.
% 6.47/6.65  		0:00:05.49 for the reduction.
% 6.47/6.65  
% 6.47/6.65  
% 6.47/6.65  Here is a proof with depth 2, length 13 :
% 6.47/6.65  % SZS output start Refutation
% See solution above
% 6.47/6.65  Formulae used in the proof : co1 ax42 ax43
% 6.47/6.65  
%------------------------------------------------------------------------------