%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM588+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n019.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 14:27:50 EDT 2022

% Result   : Theorem 1.51s 1.71s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :    9 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(14,axiom,
    aElementOf0(skc7,skc6),
    file('NUM588+3.p',unknown),
    [] ).

cnf(43,axiom,
    ( ~ aElementOf0(u,skc6)
    | aElementOf0(u,skc5) ),
    file('NUM588+3.p',unknown),
    [] ).

cnf(79,axiom,
    ~ aElementOf0(skc7,sdtmndt0(sdtlpdtrp0(xN,skc4),szmzizndt0(sdtlpdtrp0(xN,skc4)))),
    file('NUM588+3.p',unknown),
    [] ).

cnf(114,axiom,
    ( ~ aElementOf0(u,skc5)
    | aElementOf0(u,sdtmndt0(sdtlpdtrp0(xN,skc4),szmzizndt0(sdtlpdtrp0(xN,skc4)))) ),
    file('NUM588+3.p',unknown),
    [] ).

cnf(1614,plain,
    aElementOf0(skc7,skc5),
    inference(res,[status(thm),theory(equality)],[14,43]),
    [iquote('0:Res:14.0,43.0')] ).

cnf(2910,plain,
    ~ aElementOf0(skc7,skc5),
    inference(res,[status(thm),theory(equality)],[114,79]),
    [iquote('0:Res:114.1,79.0')] ).

cnf(2911,plain,
    $false,
    inference(mrr,[status(thm)],[2910,1614]),
    [iquote('0:MRR:2910.0,1614.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM588+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jul  6 21:30:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.51/1.71  
% 1.51/1.71  SPASS V 3.9 
% 1.51/1.71  SPASS beiseite: Proof found.
% 1.51/1.71  % SZS status Theorem
% 1.51/1.71  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.51/1.71  SPASS derived 2120 clauses, backtracked 891 clauses, performed 46 splits and kept 2522 clauses.
% 1.51/1.71  SPASS allocated 103773 KBytes.
% 1.51/1.71  SPASS spent	0:00:01.36 on the problem.
% 1.51/1.71  		0:00:00.04 for the input.
% 1.51/1.71  		0:00:00.67 for the FLOTTER CNF translation.
% 1.51/1.71  		0:00:00.01 for inferences.
% 1.51/1.71  		0:00:00.01 for the backtracking.
% 1.51/1.71  		0:00:00.50 for the reduction.
% 1.51/1.71  
% 1.51/1.71  
% 1.51/1.71  Here is a proof with depth 1, length 7 :
% 1.51/1.71  % SZS output start Refutation
% See solution above
% 1.51/1.71  Formulae used in the proof : m__
% 1.51/1.71  
%------------------------------------------------------------------------------