%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM627+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n029.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 14:28:17 EDT 2022

% Result   : Theorem 2.14s 2.36s
% Output   : Refutation 2.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (   8 unt;   1 nHn;  15 RR)
%            Number of literals    :   30 (   0 equ;  22 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(33,axiom,
    aElementOf0(xn,szNzAzT0),
    file('NUM627+3.p',unknown),
    [] ).

cnf(37,axiom,
    aElementOf0(xm,szNzAzT0),
    file('NUM627+3.p',unknown),
    [] ).

cnf(117,axiom,
    ( ~ aElementOf0(u,szNzAzT0)
    | aElementOf0(szszuzczcdt0(u),szNzAzT0) ),
    file('NUM627+3.p',unknown),
    [] ).

cnf(126,axiom,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    file('NUM627+3.p',unknown),
    [] ).

cnf(142,axiom,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    file('NUM627+3.p',unknown),
    [] ).

cnf(206,axiom,
    ( ~ aElementOf0(u,szNzAzT0)
    | ~ aElementOf0(v,szNzAzT0)
    | sdtlseqdt0(v,u)
    | sdtlseqdt0(szszuzczcdt0(u),v) ),
    file('NUM627+3.p',unknown),
    [] ).

cnf(278,axiom,
    ( ~ sdtlseqdt0(u,v)
    | ~ aElementOf0(u,szNzAzT0)
    | ~ aElementOf0(v,szNzAzT0)
    | aSubsetOf0(sdtlpdtrp0(xN,v),sdtlpdtrp0(xN,u)) ),
    file('NUM627+3.p',unknown),
    [] ).

cnf(5002,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xm,szNzAzT0)
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(res,[status(thm),theory(equality)],[278,126]),
    [iquote('0:Res:278.3,126.0')] ).

cnf(5003,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0) ),
    inference(res,[status(thm),theory(equality)],[278,142]),
    [iquote('0:Res:278.3,142.0')] ).

cnf(5008,plain,
    ~ sdtlseqdt0(xm,xn),
    inference(mrr,[status(thm)],[5002,37,33]),
    [iquote('0:MRR:5002.1,5002.2,37.0,33.0')] ).

cnf(5009,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(mrr,[status(thm)],[5003,37]),
    [iquote('0:MRR:5003.2,37.0')] ).

cnf(5570,plain,
    ( ~ aElementOf0(xn,szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | sdtlseqdt0(xm,xn) ),
    inference(res,[status(thm),theory(equality)],[206,5009]),
    [iquote('0:Res:206.3,5009.0')] ).

cnf(5571,plain,
    ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
    inference(mrr,[status(thm)],[5570,33,37,5008]),
    [iquote('0:MRR:5570.0,5570.1,5570.3,33.0,37.0,5008.0')] ).

cnf(5572,plain,
    ~ aElementOf0(xn,szNzAzT0),
    inference(res,[status(thm),theory(equality)],[117,5571]),
    [iquote('0:Res:117.1,5571.0')] ).

cnf(5576,plain,
    $false,
    inference(mrr,[status(thm)],[5572,33]),
    [iquote('0:MRR:5572.0,33.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM627+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n029.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 : Tue Jul  5 13:08:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.14/2.36  
% 2.14/2.36  SPASS V 3.9 
% 2.14/2.36  SPASS beiseite: Proof found.
% 2.14/2.36  % SZS status Theorem
% 2.14/2.36  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.14/2.36  SPASS derived 3747 clauses, backtracked 380 clauses, performed 4 splits and kept 2714 clauses.
% 2.14/2.36  SPASS allocated 105177 KBytes.
% 2.14/2.36  SPASS spent	0:00:01.96 on the problem.
% 2.14/2.36  		0:00:00.04 for the input.
% 2.14/2.36  		0:00:00.81 for the FLOTTER CNF translation.
% 2.14/2.36  		0:00:00.06 for inferences.
% 2.14/2.36  		0:00:00.01 for the backtracking.
% 2.14/2.36  		0:00:00.97 for the reduction.
% 2.14/2.36  
% 2.14/2.36  
% 2.14/2.36  Here is a proof with depth 3, length 15 :
% 2.14/2.36  % SZS output start Refutation
% See solution above
% 2.14/2.36  Formulae used in the proof : m__5309 m__5389 mSuccNum m__5461 m__5442 mLessTotal m__3754
% 2.14/2.36  
%------------------------------------------------------------------------------