%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM606+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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 14:28:02 EDT 2022

% Result   : Theorem 1.00s 1.18s
% Output   : Refutation 1.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(17,axiom,
    aElementOf0(skc2,xQ),
    file('NUM606+3.p',unknown),
    [] ).

cnf(26,axiom,
    ~ aElementOf0(skc2,szNzAzT0),
    file('NUM606+3.p',unknown),
    [] ).

cnf(72,axiom,
    ( ~ aElementOf0(u,xS)
    | aElementOf0(u,szNzAzT0) ),
    file('NUM606+3.p',unknown),
    [] ).

cnf(76,axiom,
    ( ~ aElementOf0(u,xO)
    | aElementOf0(u,xS) ),
    file('NUM606+3.p',unknown),
    [] ).

cnf(78,axiom,
    ( ~ aElementOf0(u,xQ)
    | aElementOf0(u,xO) ),
    file('NUM606+3.p',unknown),
    [] ).

cnf(463,plain,
    aElementOf0(skc2,xO),
    inference(res,[status(thm),theory(equality)],[17,78]),
    [iquote('0:Res:17.0,78.0')] ).

cnf(503,plain,
    ~ aElementOf0(skc2,xS),
    inference(res,[status(thm),theory(equality)],[72,26]),
    [iquote('0:Res:72.1,26.0')] ).

cnf(565,plain,
    aElementOf0(skc2,xS),
    inference(res,[status(thm),theory(equality)],[463,76]),
    [iquote('0:Res:463.0,76.0')] ).

cnf(566,plain,
    $false,
    inference(mrr,[status(thm)],[565,503]),
    [iquote('0:MRR:565.0,503.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM606+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.11  % Command  : run_spass %d %s
% 0.11/0.32  % Computer : n021.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 18:24:34 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 1.00/1.18  
% 1.00/1.18  SPASS V 3.9 
% 1.00/1.18  SPASS beiseite: Proof found.
% 1.00/1.18  % SZS status Theorem
% 1.00/1.18  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.00/1.18  SPASS derived 84 clauses, backtracked 0 clauses, performed 0 splits and kept 400 clauses.
% 1.00/1.18  SPASS allocated 104333 KBytes.
% 1.00/1.18  SPASS spent	0:00:00.84 on the problem.
% 1.00/1.18  		0:00:00.04 for the input.
% 1.00/1.18  		0:00:00.72 for the FLOTTER CNF translation.
% 1.00/1.18  		0:00:00.00 for inferences.
% 1.00/1.18  		0:00:00.00 for the backtracking.
% 1.00/1.18  		0:00:00.04 for the reduction.
% 1.00/1.18  
% 1.00/1.18  
% 1.00/1.18  Here is a proof with depth 2, length 9 :
% 1.00/1.18  % SZS output start Refutation
% See solution above
% 1.00/1.18  Formulae used in the proof : m__ m__3435 m__4998 m__5093
% 1.00/1.18  
%------------------------------------------------------------------------------