%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC044-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n007.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 22:01:19 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (  10 unt;   0 nHn;  13 RR)
%            Number of literals    :   18 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ssList(sk1),
    file('SWC044-1.p',unknown),
    [] ).

cnf(5,axiom,
    equal(nil,sk2),
    file('SWC044-1.p',unknown),
    [] ).

cnf(6,axiom,
    equal(sk2,sk4),
    file('SWC044-1.p',unknown),
    [] ).

cnf(7,axiom,
    equal(sk3,sk1),
    file('SWC044-1.p',unknown),
    [] ).

cnf(8,axiom,
    rearsegP(sk4,sk3),
    file('SWC044-1.p',unknown),
    [] ).

cnf(9,axiom,
    ~ equal(nil,sk1),
    file('SWC044-1.p',unknown),
    [] ).

cnf(91,axiom,
    ( ~ ssList(u)
    | ~ rearsegP(nil,u)
    | equal(nil,u) ),
    file('SWC044-1.p',unknown),
    [] ).

cnf(196,plain,
    rearsegP(sk4,sk1),
    inference(rew,[status(thm),theory(equality)],[7,8]),
    [iquote('0:Rew:7.0,8.0')] ).

cnf(198,plain,
    equal(nil,sk4),
    inference(rew,[status(thm),theory(equality)],[6,5]),
    [iquote('0:Rew:6.0,5.0')] ).

cnf(208,plain,
    ~ equal(sk4,sk1),
    inference(rew,[status(thm),theory(equality)],[198,9]),
    [iquote('0:Rew:198.0,9.0')] ).

cnf(228,plain,
    ( ~ ssList(u)
    | ~ rearsegP(sk4,u)
    | equal(sk4,u) ),
    inference(rew,[status(thm),theory(equality)],[198,91]),
    [iquote('0:Rew:198.0,91.2,198.0,91.1')] ).

cnf(498,plain,
    ( ~ rearsegP(sk4,sk1)
    | equal(sk4,sk1) ),
    inference(res,[status(thm),theory(equality)],[1,228]),
    [iquote('0:Res:1.0,228.0')] ).

cnf(606,plain,
    $false,
    inference(mrr,[status(thm)],[498,196,208]),
    [iquote('0:MRR:498.0,498.1,196.0,208.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC044-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n007.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 : Sun Jun 12 19:00:23 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.48  
% 0.19/0.48  SPASS V 3.9 
% 0.19/0.48  SPASS beiseite: Proof found.
% 0.19/0.48  % SZS status Theorem
% 0.19/0.48  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.48  SPASS derived 354 clauses, backtracked 0 clauses, performed 0 splits and kept 218 clauses.
% 0.19/0.48  SPASS allocated 76391 KBytes.
% 0.19/0.48  SPASS spent	0:00:00.13 on the problem.
% 0.19/0.48  		0:00:00.04 for the input.
% 0.19/0.48  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.48  		0:00:00.00 for inferences.
% 0.19/0.48  		0:00:00.00 for the backtracking.
% 0.19/0.48  		0:00:00.03 for the reduction.
% 0.19/0.48  
% 0.19/0.48  
% 0.19/0.48  Here is a proof with depth 1, length 13 :
% 0.19/0.48  % SZS output start Refutation
% See solution above
% 0.19/0.48  Formulae used in the proof : co1_1 co1_5 co1_6 co1_7 co1_8 co1_9 clause82
% 0.19/0.48  
%------------------------------------------------------------------------------