%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC185+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 22:02:19 EDT 2022

% Result   : Theorem 3.37s 3.56s
% Output   : Refutation 3.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (   8 unt;   1 nHn;  15 RR)
%            Number of literals    :   38 (   0 equ;  30 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ssList(skc11),
    file('SWC185+1.p',unknown),
    [] ).

cnf(2,axiom,
    ssList(skc10),
    file('SWC185+1.p',unknown),
    [] ).

cnf(3,axiom,
    ssItem(skc9),
    file('SWC185+1.p',unknown),
    [] ).

cnf(61,axiom,
    ( memberP(skc11,skc9)
    | memberP(skc10,skc9) ),
    file('SWC185+1.p',unknown),
    [] ).

cnf(81,axiom,
    equal(app(app(skc10,cons(skc9,nil)),skc11),skc7),
    file('SWC185+1.p',unknown),
    [] ).

cnf(185,axiom,
    ( ~ ssList(u)
    | ~ ssList(v)
    | ~ ssItem(w)
    | ~ memberP(u,w)
    | ~ equal(app(app(v,cons(w,nil)),u),skc7) ),
    file('SWC185+1.p',unknown),
    [] ).

cnf(186,axiom,
    ( ~ ssList(u)
    | ~ ssList(v)
    | ~ ssItem(w)
    | ~ memberP(v,w)
    | ~ equal(app(app(v,cons(w,nil)),u),skc7) ),
    file('SWC185+1.p',unknown),
    [] ).

cnf(10865,plain,
    ( ~ ssList(skc11)
    | ~ ssList(skc10)
    | ~ ssItem(skc9)
    | ~ memberP(skc11,skc9)
    | ~ equal(skc7,skc7) ),
    inference(spl,[status(thm),theory(equality)],[81,185]),
    [iquote('0:SpL:81.0,185.4')] ).

cnf(10866,plain,
    ( ~ ssList(skc11)
    | ~ ssList(skc10)
    | ~ ssItem(skc9)
    | ~ memberP(skc11,skc9) ),
    inference(obv,[status(thm),theory(equality)],[10865]),
    [iquote('0:Obv:10865.4')] ).

cnf(10867,plain,
    ~ memberP(skc11,skc9),
    inference(ssi,[status(thm)],[10866,3,2,1]),
    [iquote('0:SSi:10866.2,10866.1,10866.0,3.0,2.0,1.0')] ).

cnf(10868,plain,
    memberP(skc10,skc9),
    inference(mrr,[status(thm)],[61,10867]),
    [iquote('0:MRR:61.0,10867.0')] ).

cnf(10892,plain,
    ( ~ ssList(skc11)
    | ~ ssList(skc10)
    | ~ ssItem(skc9)
    | ~ memberP(skc10,skc9)
    | ~ equal(skc7,skc7) ),
    inference(spl,[status(thm),theory(equality)],[81,186]),
    [iquote('0:SpL:81.0,186.4')] ).

cnf(10894,plain,
    ( ~ ssList(skc11)
    | ~ ssList(skc10)
    | ~ ssItem(skc9)
    | ~ memberP(skc10,skc9) ),
    inference(obv,[status(thm),theory(equality)],[10892]),
    [iquote('0:Obv:10892.4')] ).

cnf(10895,plain,
    ~ memberP(skc10,skc9),
    inference(ssi,[status(thm)],[10894,3,2,1]),
    [iquote('0:SSi:10894.2,10894.1,10894.0,3.0,2.0,1.0')] ).

cnf(10896,plain,
    $false,
    inference(mrr,[status(thm)],[10895,10868]),
    [iquote('0:MRR:10895.0,10868.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC185+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n018.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 : Sat Jun 11 22:39:10 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 3.37/3.56  
% 3.37/3.56  SPASS V 3.9 
% 3.37/3.56  SPASS beiseite: Proof found.
% 3.37/3.56  % SZS status Theorem
% 3.37/3.56  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.37/3.56  SPASS derived 7787 clauses, backtracked 1951 clauses, performed 50 splits and kept 5578 clauses.
% 3.37/3.56  SPASS allocated 105698 KBytes.
% 3.37/3.56  SPASS spent	0:00:02.97 on the problem.
% 3.37/3.56  		0:00:00.04 for the input.
% 3.37/3.56  		0:00:00.07 for the FLOTTER CNF translation.
% 3.37/3.56  		0:00:00.07 for inferences.
% 3.37/3.56  		0:00:00.05 for the backtracking.
% 3.37/3.56  		0:00:02.50 for the reduction.
% 3.37/3.56  
% 3.37/3.56  
% 3.37/3.56  Here is a proof with depth 1, length 15 :
% 3.37/3.56  % SZS output start Refutation
% See solution above
% 3.37/3.56  Formulae used in the proof : co1
% 3.37/3.56  
%------------------------------------------------------------------------------