%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC043+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n022.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   : Theorem 0.59s 0.84s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   19 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ssList(skc7),
    file('SWC043+1.p',unknown),
    [] ).

cnf(3,axiom,
    ssList(skc5),
    file('SWC043+1.p',unknown),
    [] ).

cnf(15,axiom,
    equal(skc6,nil),
    file('SWC043+1.p',unknown),
    [] ).

cnf(54,axiom,
    ~ equal(skc5,nil),
    file('SWC043+1.p',unknown),
    [] ).

cnf(62,axiom,
    equal(app(skc5,skc7),skc6),
    file('SWC043+1.p',unknown),
    [] ).

cnf(128,axiom,
    ( ~ ssList(u)
    | ~ ssList(v)
    | ~ equal(app(v,u),nil)
    | equal(nil,v) ),
    file('SWC043+1.p',unknown),
    [] ).

cnf(196,plain,
    equal(app(skc5,skc7),nil),
    inference(rew,[status(thm),theory(equality)],[15,62]),
    [iquote('0:Rew:15.0,62.0')] ).

cnf(250,plain,
    ( ~ ssList(u)
    | ~ equal(app(skc5,u),nil)
    | equal(skc5,nil) ),
    inference(res,[status(thm),theory(equality)],[3,128]),
    [iquote('0:Res:3.0,128.0')] ).

cnf(558,plain,
    ( ~ ssList(u)
    | ~ equal(app(skc5,u),nil) ),
    inference(mrr,[status(thm)],[250,54]),
    [iquote('0:MRR:250.2,54.0')] ).

cnf(902,plain,
    ( ~ ssList(skc7)
    | ~ equal(nil,nil) ),
    inference(spl,[status(thm),theory(equality)],[196,558]),
    [iquote('0:SpL:196.0,558.1')] ).

cnf(959,plain,
    ~ ssList(skc7),
    inference(obv,[status(thm),theory(equality)],[902]),
    [iquote('0:Obv:902.1')] ).

cnf(960,plain,
    $false,
    inference(ssi,[status(thm)],[959,1]),
    [iquote('0:SSi:959.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWC043+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n022.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 21:00:48 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.59/0.84  
% 0.59/0.84  SPASS V 3.9 
% 0.59/0.84  SPASS beiseite: Proof found.
% 0.59/0.84  % SZS status Theorem
% 0.59/0.84  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.59/0.84  SPASS derived 563 clauses, backtracked 255 clauses, performed 13 splits and kept 869 clauses.
% 0.59/0.84  SPASS allocated 98723 KBytes.
% 0.59/0.84  SPASS spent	0:00:00.47 on the problem.
% 0.59/0.84  		0:00:00.04 for the input.
% 0.59/0.84  		0:00:00.07 for the FLOTTER CNF translation.
% 0.59/0.84  		0:00:00.00 for inferences.
% 0.59/0.84  		0:00:00.00 for the backtracking.
% 0.59/0.84  		0:00:00.19 for the reduction.
% 0.59/0.84  
% 0.59/0.84  
% 0.59/0.84  Here is a proof with depth 2, length 12 :
% 0.59/0.84  % SZS output start Refutation
% See solution above
% 0.59/0.84  Formulae used in the proof : co1 ax83
% 0.59/0.84  
%------------------------------------------------------------------------------