%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM586+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n009.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 : Mon Jul 18 14:27:48 EDT 2022

% Result   : Theorem 1.86s 2.05s
% Output   : Refutation 1.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   6 unt;   0 nHn;  13 RR)
%            Number of literals    :   23 (   0 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(15,axiom,
    aElementOf0(xi,szNzAzT0),
    file('NUM586+3.p',unknown),
    [] ).

cnf(36,axiom,
    aElementOf0(skc85,szDzozmdt0(sdtlpdtrp0(xC,xi))),
    file('NUM586+3.p',unknown),
    [] ).

cnf(44,axiom,
    equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),skc85),xx),
    file('NUM586+3.p',unknown),
    [] ).

cnf(120,axiom,
    ( ~ aElementOf0(u,szNzAzT0)
    | ~ aElementOf0(v,szDzozmdt0(sdtlpdtrp0(xC,u)))
    | equal(sbrdtbr0(v),xk) ),
    file('NUM586+3.p',unknown),
    [] ).

cnf(199,axiom,
    ( ~ aElementOf0(u,szNzAzT0)
    | ~ aElementOf0(v,szDzozmdt0(sdtlpdtrp0(xC,u)))
    | aSubsetOf0(v,sdtmndt0(sdtlpdtrp0(xN,u),szmzizndt0(sdtlpdtrp0(xN,u)))) ),
    file('NUM586+3.p',unknown),
    [] ).

cnf(242,axiom,
    ( ~ aSubsetOf0(u,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ equal(sbrdtbr0(u),xk)
    | ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),u),xx) ),
    file('NUM586+3.p',unknown),
    [] ).

cnf(316,plain,
    ( ~ aSubsetOf0(skc85,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ equal(sbrdtbr0(skc85),xk) ),
    inference(res,[status(thm),theory(equality)],[44,242]),
    [iquote('0:Res:44.0,242.2')] ).

cnf(1898,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | equal(sbrdtbr0(skc85),xk) ),
    inference(res,[status(thm),theory(equality)],[36,120]),
    [iquote('0:Res:36.0,120.1')] ).

cnf(1905,plain,
    equal(sbrdtbr0(skc85),xk),
    inference(mrr,[status(thm)],[1898,15]),
    [iquote('0:MRR:1898.0,15.0')] ).

cnf(1909,plain,
    ( ~ aSubsetOf0(skc85,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ equal(xk,xk) ),
    inference(rew,[status(thm),theory(equality)],[1905,316]),
    [iquote('0:Rew:1905.0,316.1')] ).

cnf(1910,plain,
    ~ aSubsetOf0(skc85,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
    inference(obv,[status(thm),theory(equality)],[1909]),
    [iquote('0:Obv:1909.1')] ).

cnf(6816,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | ~ aElementOf0(skc85,szDzozmdt0(sdtlpdtrp0(xC,xi))) ),
    inference(res,[status(thm),theory(equality)],[199,1910]),
    [iquote('0:Res:199.2,1910.0')] ).

cnf(6817,plain,
    $false,
    inference(mrr,[status(thm)],[6816,15,36]),
    [iquote('0:MRR:6816.0,6816.1,15.0,36.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM586+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11  % Command  : run_spass %d %s
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jul  7 08:31:37 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 1.86/2.05  
% 1.86/2.05  SPASS V 3.9 
% 1.86/2.05  SPASS beiseite: Proof found.
% 1.86/2.05  % SZS status Theorem
% 1.86/2.05  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.86/2.05  SPASS derived 5100 clauses, backtracked 791 clauses, performed 16 splits and kept 3112 clauses.
% 1.86/2.05  SPASS allocated 103795 KBytes.
% 1.86/2.05  SPASS spent	0:00:01.69 on the problem.
% 1.86/2.05  		0:00:00.04 for the input.
% 1.86/2.05  		0:00:00.68 for the FLOTTER CNF translation.
% 1.86/2.05  		0:00:00.07 for inferences.
% 1.86/2.05  		0:00:00.02 for the backtracking.
% 1.86/2.05  		0:00:00.82 for the reduction.
% 1.86/2.05  
% 1.86/2.05  
% 1.86/2.05  Here is a proof with depth 2, length 13 :
% 1.86/2.05  % SZS output start Refutation
% See solution above
% 1.86/2.05  Formulae used in the proof : m__4200 m__4200_02 m__4151 m__
% 1.86/2.05  
%------------------------------------------------------------------------------