%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC097-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n028.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 22:01:41 EDT 2022

% Result   : Unsatisfiable 1.24s 1.43s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   17 (   7 unt;   2 nHn;  17 RR)
%            Number of literals    :   29 (   0 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    equal(sk4,sk2),
    file('SWC097-1.p',unknown),
    [] ).

cnf(6,axiom,
    equal(sk3,sk1),
    file('SWC097-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('SWC097-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ssItem(sk5)
    | neq(sk2,nil) ),
    file('SWC097-1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ ssItem(u)
    | ~ equal(app(sk1,cons(u,nil)),sk2)
    | ~ neq(sk4,nil) ),
    file('SWC097-1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('SWC097-1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ neq(sk4,nil)
    | equal(app(sk3,cons(sk5,nil)),sk4) ),
    file('SWC097-1.p',unknown),
    [] ).

cnf(202,plain,
    ( ~ neq(sk2,nil)
    | ssItem(sk5) ),
    inference(rew,[status(thm),theory(equality)],[5,13]),
    [iquote('0:Rew:5.0,13.0')] ).

cnf(203,plain,
    ssItem(sk5),
    inference(mrr,[status(thm)],[202,10]),
    [iquote('0:MRR:202.0,10.1')] ).

cnf(204,plain,
    neq(sk2,nil),
    inference(obv,[status(thm),theory(equality)],[7]),
    [iquote('0:Obv:7.0')] ).

cnf(205,plain,
    ( ~ neq(sk2,nil)
    | equal(app(sk1,cons(sk5,nil)),sk2) ),
    inference(rew,[status(thm),theory(equality)],[6,14,5]),
    [iquote('0:Rew:6.0,14.1,5.0,14.1,5.0,14.0')] ).

cnf(206,plain,
    equal(app(sk1,cons(sk5,nil)),sk2),
    inference(mrr,[status(thm)],[205,204]),
    [iquote('0:MRR:205.0,204.0')] ).

cnf(207,plain,
    ( ~ ssItem(u)
    | ~ equal(app(sk1,cons(u,nil)),sk2)
    | ~ neq(sk2,nil) ),
    inference(rew,[status(thm),theory(equality)],[5,12]),
    [iquote('0:Rew:5.0,12.2')] ).

cnf(208,plain,
    ( ~ ssItem(u)
    | ~ equal(app(sk1,cons(u,nil)),sk2) ),
    inference(mrr,[status(thm)],[207,204]),
    [iquote('0:MRR:207.2,204.0')] ).

cnf(2342,plain,
    ( ~ ssItem(sk5)
    | ~ equal(sk2,sk2) ),
    inference(spl,[status(thm),theory(equality)],[206,208]),
    [iquote('0:SpL:206.0,208.1')] ).

cnf(2343,plain,
    ~ ssItem(sk5),
    inference(obv,[status(thm),theory(equality)],[2342]),
    [iquote('0:Obv:2342.1')] ).

cnf(2344,plain,
    $false,
    inference(ssi,[status(thm)],[2343,203]),
    [iquote('0:SSi:2343.0,203.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWC097-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 12 07:19:36 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.24/1.43  
% 1.24/1.43  SPASS V 3.9 
% 1.24/1.43  SPASS beiseite: Proof found.
% 1.24/1.43  % SZS status Theorem
% 1.24/1.43  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.24/1.43  SPASS derived 1838 clauses, backtracked 1474 clauses, performed 30 splits and kept 2958 clauses.
% 1.24/1.43  SPASS allocated 77566 KBytes.
% 1.24/1.43  SPASS spent	0:00:01.06 on the problem.
% 1.24/1.43  		0:00:00.04 for the input.
% 1.24/1.43  		0:00:00.00 for the FLOTTER CNF translation.
% 1.24/1.43  		0:00:00.01 for inferences.
% 1.24/1.43  		0:00:00.02 for the backtracking.
% 1.24/1.43  		0:00:00.82 for the reduction.
% 1.24/1.43  
% 1.24/1.43  
% 1.24/1.43  Here is a proof with depth 1, length 17 :
% 1.24/1.43  % SZS output start Refutation
% See solution above
% 1.24/1.43  Formulae used in the proof : co1_5 co1_6 co1_7 co1_10 co1_12 co1_13 co1_14
% 1.24/1.43  
%------------------------------------------------------------------------------