%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC254-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n023.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 22:02:51 EDT 2022

% Result   : Unsatisfiable 1.15s 1.37s
% Output   : Refutation 1.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   21 (   9 unt;   2 nHn;  21 RR)
%            Number of literals    :   36 (   0 equ;  19 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ssList(sk1),
    file('SWC254-1.p',unknown),
    [] ).

cnf(5,axiom,
    equal(sk4,sk2),
    file('SWC254-1.p',unknown),
    [] ).

cnf(6,axiom,
    equal(sk3,sk1),
    file('SWC254-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('SWC254-1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ssItem(sk5)
    | neq(sk2,nil) ),
    file('SWC254-1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('SWC254-1.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ neq(sk4,nil)
    | equal(cons(sk5,nil),sk3) ),
    file('SWC254-1.p',unknown),
    [] ).

cnf(18,axiom,
    ( ~ singletonP(sk1)
    | ~ neq(sk4,nil) ),
    file('SWC254-1.p',unknown),
    [] ).

cnf(134,axiom,
    ( ~ ssList(u)
    | ~ ssItem(v)
    | ~ equal(cons(v,nil),u)
    | singletonP(u) ),
    file('SWC254-1.p',unknown),
    [] ).

cnf(208,plain,
    ( ~ neq(sk2,nil)
    | ssItem(sk5) ),
    inference(rew,[status(thm),theory(equality)],[5,14]),
    [iquote('0:Rew:5.0,14.0')] ).

cnf(209,plain,
    ssItem(sk5),
    inference(mrr,[status(thm)],[208,9]),
    [iquote('0:MRR:208.0,9.1')] ).

cnf(210,plain,
    neq(sk2,nil),
    inference(obv,[status(thm),theory(equality)],[7]),
    [iquote('0:Obv:7.0')] ).

cnf(211,plain,
    ( ~ singletonP(sk1)
    | ~ neq(sk2,nil) ),
    inference(rew,[status(thm),theory(equality)],[5,18]),
    [iquote('0:Rew:5.0,18.1')] ).

cnf(212,plain,
    ~ singletonP(sk1),
    inference(mrr,[status(thm)],[211,210]),
    [iquote('0:MRR:211.1,210.0')] ).

cnf(213,plain,
    ( ~ neq(sk2,nil)
    | equal(cons(sk5,nil),sk1) ),
    inference(rew,[status(thm),theory(equality)],[6,16,5]),
    [iquote('0:Rew:6.0,16.1,5.0,16.0')] ).

cnf(214,plain,
    equal(cons(sk5,nil),sk1),
    inference(mrr,[status(thm)],[213,210]),
    [iquote('0:MRR:213.0,210.0')] ).

cnf(522,plain,
    ( ~ ssItem(u)
    | ~ equal(cons(u,nil),sk1)
    | singletonP(sk1) ),
    inference(res,[status(thm),theory(equality)],[1,134]),
    [iquote('0:Res:1.0,134.1')] ).

cnf(563,plain,
    ( ~ ssItem(u)
    | ~ equal(cons(u,nil),sk1) ),
    inference(mrr,[status(thm)],[522,212]),
    [iquote('0:MRR:522.2,212.0')] ).

cnf(2070,plain,
    ( ~ ssItem(sk5)
    | ~ equal(sk1,sk1) ),
    inference(spl,[status(thm),theory(equality)],[214,563]),
    [iquote('0:SpL:214.0,563.1')] ).

cnf(2071,plain,
    ~ ssItem(sk5),
    inference(obv,[status(thm),theory(equality)],[2070]),
    [iquote('0:Obv:2070.1')] ).

cnf(2072,plain,
    $false,
    inference(ssi,[status(thm)],[2071,209]),
    [iquote('0:SSi:2071.0,209.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : SWC254-1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.14  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n023.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
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 600
% 0.13/0.36  % DateTime : Sun Jun 12 15:10:51 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 1.15/1.37  
% 1.15/1.37  SPASS V 3.9 
% 1.15/1.37  SPASS beiseite: Proof found.
% 1.15/1.37  % SZS status Theorem
% 1.15/1.37  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.15/1.37  SPASS derived 1645 clauses, backtracked 1331 clauses, performed 30 splits and kept 2785 clauses.
% 1.15/1.37  SPASS allocated 77406 KBytes.
% 1.15/1.37  SPASS spent	0:00:00.99 on the problem.
% 1.15/1.37  		0:00:00.04 for the input.
% 1.15/1.37  		0:00:00.00 for the FLOTTER CNF translation.
% 1.15/1.37  		0:00:00.00 for inferences.
% 1.15/1.37  		0:00:00.01 for the backtracking.
% 1.15/1.37  		0:00:00.76 for the reduction.
% 1.15/1.37  
% 1.15/1.37  
% 1.15/1.37  Here is a proof with depth 2, length 21 :
% 1.15/1.37  % SZS output start Refutation
% See solution above
% 1.15/1.37  Formulae used in the proof : co1_1 co1_5 co1_6 co1_7 co1_9 co1_14 co1_16 co1_18 clause116
% 1.15/1.37  
%------------------------------------------------------------------------------