%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC255+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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   : Theorem 0.21s 0.49s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   3 unt;   1 nHn;   7 RR)
%            Number of literals    :   11 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 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(58,axiom,
    ( singletonP(u)
    | skP0(u,v) ),
    file('SWC255+1.p',unknown),
    [] ).

cnf(60,axiom,
    ( ~ singletonP(u)
    | skP0(u,v) ),
    file('SWC255+1.p',unknown),
    [] ).

cnf(69,axiom,
    ( ~ skP0(skc4,skc5)
    | neq(skc5,nil) ),
    file('SWC255+1.p',unknown),
    [] ).

cnf(79,axiom,
    ( ~ neq(skc5,nil)
    | ~ skP0(skc4,skc5) ),
    file('SWC255+1.p',unknown),
    [] ).

cnf(194,plain,
    skP0(u,v),
    inference(mrr,[status(thm)],[60,58]),
    [iquote('0:MRR:60.0,58.0')] ).

cnf(195,plain,
    neq(skc5,nil),
    inference(mrr,[status(thm)],[69,194]),
    [iquote('0:MRR:69.0,194.0')] ).

cnf(196,plain,
    $false,
    inference(mrr,[status(thm)],[79,195,194]),
    [iquote('0:MRR:79.0,79.1,195.0,194.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC255+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 12 03:17:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.49  
% 0.21/0.49  SPASS V 3.9 
% 0.21/0.49  SPASS beiseite: Proof found.
% 0.21/0.49  % SZS status Theorem
% 0.21/0.49  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.49  SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 80 clauses.
% 0.21/0.49  SPASS allocated 98237 KBytes.
% 0.21/0.49  SPASS spent	0:00:00.13 on the problem.
% 0.21/0.49  		0:00:00.04 for the input.
% 0.21/0.49  		0:00:00.07 for the FLOTTER CNF translation.
% 0.21/0.49  		0:00:00.00 for inferences.
% 0.21/0.49  		0:00:00.00 for the backtracking.
% 0.21/0.49  		0:00:00.00 for the reduction.
% 0.21/0.49  
% 0.21/0.49  
% 0.21/0.49  Here is a proof with depth 0, length 7 :
% 0.21/0.49  % SZS output start Refutation
% See solution above
% 0.21/0.49  Formulae used in the proof : co1
% 0.21/0.49  
%------------------------------------------------------------------------------