%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC082+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n022.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 22:01:35 EDT 2022

% Result   : Theorem 0.69s 0.90s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   6 unt;   0 nHn;  12 RR)
%            Number of literals    :   21 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ssList(skc7),
    file('SWC082+1.p',unknown),
    [] ).

cnf(14,axiom,
    neq(skc6,nil),
    file('SWC082+1.p',unknown),
    [] ).

cnf(69,axiom,
    ( ~ neq(skc6,nil)
    | neq(skc7,nil) ),
    file('SWC082+1.p',unknown),
    [] ).

cnf(70,axiom,
    ( ~ neq(skc6,nil)
    | segmentP(skc6,skc7) ),
    file('SWC082+1.p',unknown),
    [] ).

cnf(71,axiom,
    ( ~ neq(skc6,nil)
    | segmentP(skc5,skc7) ),
    file('SWC082+1.p',unknown),
    [] ).

cnf(127,axiom,
    ( ~ ssList(u)
    | ~ neq(u,nil)
    | ~ segmentP(skc5,u)
    | ~ segmentP(skc6,u) ),
    file('SWC082+1.p',unknown),
    [] ).

cnf(196,plain,
    segmentP(skc5,skc7),
    inference(mrr,[status(thm)],[71,14]),
    [iquote('0:MRR:71.0,14.0')] ).

cnf(197,plain,
    segmentP(skc6,skc7),
    inference(mrr,[status(thm)],[70,14]),
    [iquote('0:MRR:70.0,14.0')] ).

cnf(198,plain,
    neq(skc7,nil),
    inference(mrr,[status(thm)],[69,14]),
    [iquote('0:MRR:69.0,14.0')] ).

cnf(1900,plain,
    ( ~ ssList(skc7)
    | ~ neq(skc7,nil)
    | ~ segmentP(skc5,skc7) ),
    inference(res,[status(thm),theory(equality)],[197,127]),
    [iquote('0:Res:197.0,127.3')] ).

cnf(1902,plain,
    ( ~ neq(skc7,nil)
    | ~ segmentP(skc5,skc7) ),
    inference(ssi,[status(thm)],[1900,1]),
    [iquote('0:SSi:1900.0,1.0')] ).

cnf(1903,plain,
    $false,
    inference(mrr,[status(thm)],[1902,198,196]),
    [iquote('0:MRR:1902.0,1902.1,198.0,196.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC082+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n022.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
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 04:40:03 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.69/0.90  
% 0.69/0.90  SPASS V 3.9 
% 0.69/0.90  SPASS beiseite: Proof found.
% 0.69/0.90  % SZS status Theorem
% 0.69/0.90  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.69/0.90  SPASS derived 1385 clauses, backtracked 233 clauses, performed 22 splits and kept 1178 clauses.
% 0.69/0.90  SPASS allocated 99413 KBytes.
% 0.69/0.90  SPASS spent	0:00:00.55 on the problem.
% 0.69/0.90  		0:00:00.04 for the input.
% 0.69/0.90  		0:00:00.07 for the FLOTTER CNF translation.
% 0.69/0.90  		0:00:00.01 for inferences.
% 0.69/0.90  		0:00:00.01 for the backtracking.
% 0.69/0.90  		0:00:00.26 for the reduction.
% 0.69/0.90  
% 0.69/0.90  
% 0.69/0.90  Here is a proof with depth 1, length 12 :
% 0.69/0.90  % SZS output start Refutation
% See solution above
% 0.69/0.90  Formulae used in the proof : co1 ax17
% 0.69/0.90  
%------------------------------------------------------------------------------