%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC047+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 22:01:21 EDT 2022

% Result   : Theorem 0.49s 0.73s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  10 unt;   3 nHn;  19 RR)
%            Number of literals    :   34 (   0 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ssList(skc3),
    file('SWC047+1.p',unknown),
    [] ).

cnf(57,axiom,
    ( skP0(u)
    | equal(nil,u) ),
    file('SWC047+1.p',unknown),
    [] ).

cnf(58,axiom,
    ( ~ skP0(skc3)
    | neq(skc3,nil) ),
    file('SWC047+1.p',unknown),
    [] ).

cnf(59,axiom,
    ( ~ equal(nil,u)
    | skP0(u) ),
    file('SWC047+1.p',unknown),
    [] ).

cnf(63,axiom,
    ( ~ ssList(u)
    | rearsegP(u,u) ),
    file('SWC047+1.p',unknown),
    [] ).

cnf(115,axiom,
    ( ~ ssList(u)
    | ~ neq(u,nil)
    | ~ rearsegP(skc3,u)
    | ~ skP0(skc3) ),
    file('SWC047+1.p',unknown),
    [] ).

cnf(129,axiom,
    ( ~ ssList(u)
    | ~ ssList(v)
    | equal(nil,v)
    | equal(hd(app(v,u)),hd(v)) ),
    file('SWC047+1.p',unknown),
    [] ).

cnf(239,plain,
    ( ~ ssList(u)
    | equal(skc3,nil)
    | equal(hd(app(skc3,u)),hd(skc3)) ),
    inference(res,[status(thm),theory(equality)],[1,129]),
    [iquote('0:Res:1.0,129.0')] ).

cnf(243,plain,
    ( ~ neq(skc3,nil)
    | ~ rearsegP(skc3,skc3)
    | ~ skP0(skc3) ),
    inference(res,[status(thm),theory(equality)],[1,115]),
    [iquote('0:Res:1.0,115.0')] ).

cnf(277,plain,
    rearsegP(skc3,skc3),
    inference(res,[status(thm),theory(equality)],[1,63]),
    [iquote('0:Res:1.0,63.0')] ).

cnf(398,plain,
    ~ skP0(skc3),
    inference(mrr,[status(thm)],[243,58,277]),
    [iquote('0:MRR:243.0,243.1,58.1,277.0')] ).

cnf(399,plain,
    equal(skc3,nil),
    inference(spt,[spt(split,[position(s1)])],[239]),
    [iquote('1:Spt:239.1')] ).

cnf(501,plain,
    ~ skP0(nil),
    inference(rew,[status(thm),theory(equality)],[399,398]),
    [iquote('1:Rew:399.0,398.0')] ).

cnf(653,plain,
    ~ equal(nil,nil),
    inference(res,[status(thm),theory(equality)],[59,501]),
    [iquote('1:Res:59.1,501.0')] ).

cnf(654,plain,
    $false,
    inference(obv,[status(thm),theory(equality)],[653]),
    [iquote('1:Obv:653.0')] ).

cnf(655,plain,
    ~ equal(skc3,nil),
    inference(spt,[spt(split,[position(sa)])],[654,399]),
    [iquote('1:Spt:654.0,239.1,399.0')] ).

cnf(656,plain,
    ( ~ ssList(u)
    | equal(hd(app(skc3,u)),hd(skc3)) ),
    inference(spt,[spt(split,[position(s2)])],[239]),
    [iquote('1:Spt:654.0,239.0,239.2')] ).

cnf(685,plain,
    equal(skc3,nil),
    inference(res,[status(thm),theory(equality)],[57,398]),
    [iquote('0:Res:57.0,398.0')] ).

cnf(686,plain,
    $false,
    inference(mrr,[status(thm)],[685,655]),
    [iquote('1:MRR:685.0,655.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC047+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n028.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 22:59:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.49/0.73  
% 0.49/0.73  SPASS V 3.9 
% 0.49/0.73  SPASS beiseite: Proof found.
% 0.49/0.73  % SZS status Theorem
% 0.49/0.73  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.49/0.73  SPASS derived 369 clauses, backtracked 166 clauses, performed 6 splits and kept 609 clauses.
% 0.49/0.73  SPASS allocated 98469 KBytes.
% 0.49/0.73  SPASS spent	0:00:00.37 on the problem.
% 0.49/0.73  		0:00:00.04 for the input.
% 0.49/0.73  		0:00:00.07 for the FLOTTER CNF translation.
% 0.49/0.73  		0:00:00.00 for inferences.
% 0.49/0.73  		0:00:00.00 for the backtracking.
% 0.49/0.73  		0:00:00.15 for the reduction.
% 0.49/0.73  
% 0.49/0.73  
% 0.49/0.73  Here is a proof with depth 2, length 19 :
% 0.49/0.73  % SZS output start Refutation
% See solution above
% 0.49/0.73  Formulae used in the proof : co1 ax49 ax85
% 0.49/0.73  
%------------------------------------------------------------------------------