%------------------------------------------------------------------------------
% 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 : n019.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   : Unsatisfiable 0.83s 1.04s
% Output   : Refutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (   8 unt;   0 nHn;  19 RR)
%            Number of literals    :   33 (   0 equ;  17 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    equal(sk4,sk2),
    file('SWC082-1.p',unknown),
    [] ).

cnf(6,axiom,
    equal(sk3,sk1),
    file('SWC082-1.p',unknown),
    [] ).

cnf(7,axiom,
    neq(sk2,nil),
    file('SWC082-1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ ssList(u)
    | ~ neq(u,nil)
    | ~ segmentP(sk1,u)
    | ~ segmentP(sk2,u) ),
    file('SWC082-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk5) ),
    file('SWC082-1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ neq(sk4,nil)
    | neq(sk5,nil) ),
    file('SWC082-1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ neq(sk4,nil)
    | segmentP(sk4,sk5) ),
    file('SWC082-1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ neq(sk4,nil)
    | segmentP(sk3,sk5) ),
    file('SWC082-1.p',unknown),
    [] ).

cnf(201,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk5) ),
    inference(rew,[status(thm),theory(equality)],[5,10]),
    [iquote('0:Rew:5.0,10.0')] ).

cnf(202,plain,
    ssList(sk5),
    inference(mrr,[status(thm)],[201,7]),
    [iquote('0:MRR:201.0,7.0')] ).

cnf(203,plain,
    ( ~ neq(sk2,nil)
    | segmentP(sk1,sk5) ),
    inference(rew,[status(thm),theory(equality)],[6,13,5]),
    [iquote('0:Rew:6.0,13.1,5.0,13.0')] ).

cnf(204,plain,
    segmentP(sk1,sk5),
    inference(mrr,[status(thm)],[203,7]),
    [iquote('0:MRR:203.0,7.0')] ).

cnf(205,plain,
    ( ~ neq(sk2,nil)
    | segmentP(sk2,sk5) ),
    inference(rew,[status(thm),theory(equality)],[5,12]),
    [iquote('0:Rew:5.0,12.1,5.0,12.0')] ).

cnf(206,plain,
    segmentP(sk2,sk5),
    inference(mrr,[status(thm)],[205,7]),
    [iquote('0:MRR:205.0,7.0')] ).

cnf(207,plain,
    ( ~ neq(sk2,nil)
    | neq(sk5,nil) ),
    inference(rew,[status(thm),theory(equality)],[5,11]),
    [iquote('0:Rew:5.0,11.0')] ).

cnf(208,plain,
    neq(sk5,nil),
    inference(mrr,[status(thm)],[207,7]),
    [iquote('0:MRR:207.0,7.0')] ).

cnf(2029,plain,
    ( ~ ssList(sk5)
    | ~ neq(sk5,nil)
    | ~ segmentP(sk1,sk5) ),
    inference(res,[status(thm),theory(equality)],[206,8]),
    [iquote('0:Res:206.0,8.3')] ).

cnf(2034,plain,
    ( ~ neq(sk5,nil)
    | ~ segmentP(sk1,sk5) ),
    inference(ssi,[status(thm)],[2029,202]),
    [iquote('0:SSi:2029.0,202.0')] ).

cnf(2035,plain,
    $false,
    inference(mrr,[status(thm)],[2034,208,204]),
    [iquote('0:MRR:2034.0,2034.1,208.0,204.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC082-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 12 21:34:25 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.83/1.04  
% 0.83/1.04  SPASS V 3.9 
% 0.83/1.04  SPASS beiseite: Proof found.
% 0.83/1.04  % SZS status Theorem
% 0.83/1.04  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.83/1.04  SPASS derived 1425 clauses, backtracked 399 clauses, performed 20 splits and kept 1554 clauses.
% 0.83/1.04  SPASS allocated 77479 KBytes.
% 0.83/1.04  SPASS spent	0:00:00.67 on the problem.
% 0.83/1.04  		0:00:00.04 for the input.
% 0.83/1.04  		0:00:00.00 for the FLOTTER CNF translation.
% 0.83/1.04  		0:00:00.01 for inferences.
% 0.83/1.04  		0:00:00.01 for the backtracking.
% 0.83/1.04  		0:00:00.36 for the reduction.
% 0.83/1.04  
% 0.83/1.04  
% 0.83/1.04  Here is a proof with depth 1, length 19 :
% 0.83/1.04  % SZS output start Refutation
% See solution above
% 0.83/1.04  Formulae used in the proof : co1_5 co1_6 co1_7 co1_8 co1_10 co1_11 co1_12 co1_13
% 0.83/1.04  
%------------------------------------------------------------------------------