%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC375-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 22:03:39 EDT 2022

% Result   : Unsatisfiable 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   8 unt;   2 nHn;  12 RR)
%            Number of literals    :   16 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 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(5,axiom,
    equal(sk4,sk2),
    file('SWC375-1.p',unknown),
    [] ).

cnf(6,axiom,
    equal(sk3,sk1),
    file('SWC375-1.p',unknown),
    [] ).

cnf(7,axiom,
    equal(sk4,sk3),
    file('SWC375-1.p',unknown),
    [] ).

cnf(9,axiom,
    ( memberP(sk2,sk5)
    | memberP(sk1,sk5) ),
    file('SWC375-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ memberP(sk2,sk5)
    | ~ memberP(sk1,sk5) ),
    file('SWC375-1.p',unknown),
    [] ).

cnf(198,plain,
    equal(sk4,sk1),
    inference(rew,[status(thm),theory(equality)],[6,7]),
    [iquote('0:Rew:6.0,7.0')] ).

cnf(199,plain,
    equal(sk2,sk1),
    inference(rew,[status(thm),theory(equality)],[5,198]),
    [iquote('0:Rew:5.0,198.0')] ).

cnf(202,plain,
    ( memberP(sk1,sk5)
    | memberP(sk1,sk5) ),
    inference(rew,[status(thm),theory(equality)],[199,9]),
    [iquote('0:Rew:199.0,9.0')] ).

cnf(203,plain,
    memberP(sk1,sk5),
    inference(obv,[status(thm),theory(equality)],[202]),
    [iquote('0:Obv:202.0')] ).

cnf(204,plain,
    ( ~ memberP(sk1,sk5)
    | ~ memberP(sk1,sk5) ),
    inference(rew,[status(thm),theory(equality)],[199,10]),
    [iquote('0:Rew:199.0,10.0')] ).

cnf(205,plain,
    ~ memberP(sk1,sk5),
    inference(obv,[status(thm),theory(equality)],[204]),
    [iquote('0:Obv:204.0')] ).

cnf(206,plain,
    $false,
    inference(mrr,[status(thm)],[205,203]),
    [iquote('0:MRR:205.0,203.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC375-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun 12 17:11:56 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.44  
% 0.21/0.44  SPASS V 3.9 
% 0.21/0.44  SPASS beiseite: Proof found.
% 0.21/0.44  % SZS status Theorem
% 0.21/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.44  SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 86 clauses.
% 0.21/0.44  SPASS allocated 75859 KBytes.
% 0.21/0.44  SPASS spent	0:00:00.08 on the problem.
% 0.21/0.44  		0:00:00.04 for the input.
% 0.21/0.44  		0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.44  		0:00:00.00 for inferences.
% 0.21/0.44  		0:00:00.00 for the backtracking.
% 0.21/0.44  		0:00:00.00 for the reduction.
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  Here is a proof with depth 0, length 12 :
% 0.21/0.44  % SZS output start Refutation
% See solution above
% 0.21/0.44  Formulae used in the proof : co1_5 co1_6 co1_7 co1_9 co1_10
% 0.21/0.44  
%------------------------------------------------------------------------------