%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM623+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n013.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 14:28:14 EDT 2022

% Result   : Theorem 1.18s 1.36s
% Output   : Refutation 1.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   17 (   9 unt;   0 nHn;  17 RR)
%            Number of literals    :   31 (   0 equ;  20 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(30,axiom,
    aElementOf0(xp,xQ),
    file('NUM623+3.p',unknown),
    [] ).

cnf(36,axiom,
    aElementOf0(xx,szNzAzT0),
    file('NUM623+3.p',unknown),
    [] ).

cnf(38,axiom,
    aElementOf0(xx,xQ),
    file('NUM623+3.p',unknown),
    [] ).

cnf(39,axiom,
    ~ equal(xp,xx),
    file('NUM623+3.p',unknown),
    [] ).

cnf(78,axiom,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    file('NUM623+3.p',unknown),
    [] ).

cnf(108,axiom,
    ( ~ aElementOf0(u,xQ)
    | aElementOf0(u,szNzAzT0) ),
    file('NUM623+3.p',unknown),
    [] ).

cnf(110,axiom,
    ( ~ aElementOf0(u,xQ)
    | sdtlseqdt0(xp,u) ),
    file('NUM623+3.p',unknown),
    [] ).

cnf(141,axiom,
    ( ~ aElementOf0(u,sdtlpdtrp0(xN,xm))
    | sdtlseqdt0(xx,u) ),
    file('NUM623+3.p',unknown),
    [] ).

cnf(272,axiom,
    ( ~ sdtlseqdt0(u,v)
    | ~ sdtlseqdt0(v,u)
    | ~ aElementOf0(u,szNzAzT0)
    | ~ aElementOf0(v,szNzAzT0)
    | equal(v,u) ),
    file('NUM623+3.p',unknown),
    [] ).

cnf(517,plain,
    ( ~ aElementOf0(xp,szNzAzT0)
    | ~ sdtlseqdt0(xp,xx)
    | ~ sdtlseqdt0(xx,xp)
    | ~ aElementOf0(xx,szNzAzT0) ),
    inference(res,[status(thm),theory(equality)],[272,39]),
    [iquote('0:Res:272.4,39.0')] ).

cnf(536,plain,
    ( ~ sdtlseqdt0(xx,xp)
    | ~ sdtlseqdt0(xp,xx)
    | ~ aElementOf0(xp,szNzAzT0) ),
    inference(mrr,[status(thm)],[517,36]),
    [iquote('0:MRR:517.3,36.0')] ).

cnf(576,plain,
    aElementOf0(xp,szNzAzT0),
    inference(res,[status(thm),theory(equality)],[30,108]),
    [iquote('0:Res:30.0,108.0')] ).

cnf(579,plain,
    ( ~ sdtlseqdt0(xx,xp)
    | ~ sdtlseqdt0(xp,xx) ),
    inference(mrr,[status(thm)],[536,576]),
    [iquote('0:MRR:536.2,576.0')] ).

cnf(602,plain,
    ( ~ aElementOf0(xx,xQ)
    | ~ sdtlseqdt0(xx,xp) ),
    inference(res,[status(thm),theory(equality)],[110,579]),
    [iquote('0:Res:110.1,579.1')] ).

cnf(603,plain,
    ~ sdtlseqdt0(xx,xp),
    inference(mrr,[status(thm)],[602,38]),
    [iquote('0:MRR:602.0,38.0')] ).

cnf(666,plain,
    sdtlseqdt0(xx,xp),
    inference(res,[status(thm),theory(equality)],[78,141]),
    [iquote('0:Res:78.0,141.0')] ).

cnf(668,plain,
    $false,
    inference(mrr,[status(thm)],[666,603]),
    [iquote('0:MRR:666.0,603.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM623+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n013.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 16:28:44 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.18/1.36  
% 1.18/1.36  SPASS V 3.9 
% 1.18/1.36  SPASS beiseite: Proof found.
% 1.18/1.36  % SZS status Theorem
% 1.18/1.36  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.18/1.36  SPASS derived 138 clauses, backtracked 0 clauses, performed 0 splits and kept 443 clauses.
% 1.18/1.36  SPASS allocated 105043 KBytes.
% 1.18/1.36  SPASS spent	0:00:01.00 on the problem.
% 1.18/1.36  		0:00:00.04 for the input.
% 1.18/1.36  		0:00:00.87 for the FLOTTER CNF translation.
% 1.18/1.36  		0:00:00.00 for inferences.
% 1.18/1.36  		0:00:00.00 for the backtracking.
% 1.18/1.36  		0:00:00.04 for the reduction.
% 1.18/1.36  
% 1.18/1.36  
% 1.18/1.36  Here is a proof with depth 2, length 17 :
% 1.18/1.36  % SZS output start Refutation
% See solution above
% 1.18/1.36  Formulae used in the proof : m__5173 m__5365 m__5481 m__ m__5106 m__5147 m__5401 mLessASymm
% 1.18/1.36  
%------------------------------------------------------------------------------