%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM624+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 14:28:15 EDT 2022

% Result   : Theorem 1.17s 1.34s
% Output   : Refutation 1.17s
% 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('NUM624+3.p',unknown),
    [] ).

cnf(36,axiom,
    aElementOf0(xx,szNzAzT0),
    file('NUM624+3.p',unknown),
    [] ).

cnf(38,axiom,
    aElementOf0(xx,xQ),
    file('NUM624+3.p',unknown),
    [] ).

cnf(40,axiom,
    ~ equal(xp,xx),
    file('NUM624+3.p',unknown),
    [] ).

cnf(79,axiom,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    file('NUM624+3.p',unknown),
    [] ).

cnf(112,axiom,
    ( ~ aElementOf0(u,xQ)
    | sdtlseqdt0(xp,u) ),
    file('NUM624+3.p',unknown),
    [] ).

cnf(118,axiom,
    ( ~ aElementOf0(u,xQ)
    | aElementOf0(u,szNzAzT0) ),
    file('NUM624+3.p',unknown),
    [] ).

cnf(144,axiom,
    ( ~ aElementOf0(u,sdtlpdtrp0(xN,xm))
    | sdtlseqdt0(xx,u) ),
    file('NUM624+3.p',unknown),
    [] ).

cnf(276,axiom,
    ( ~ sdtlseqdt0(u,v)
    | ~ sdtlseqdt0(v,u)
    | ~ aElementOf0(u,szNzAzT0)
    | ~ aElementOf0(v,szNzAzT0)
    | equal(v,u) ),
    file('NUM624+3.p',unknown),
    [] ).

cnf(521,plain,
    ( ~ aElementOf0(xp,szNzAzT0)
    | ~ sdtlseqdt0(xp,xx)
    | ~ sdtlseqdt0(xx,xp)
    | ~ aElementOf0(xx,szNzAzT0) ),
    inference(res,[status(thm),theory(equality)],[276,40]),
    [iquote('0:Res:276.4,40.0')] ).

cnf(540,plain,
    ( ~ sdtlseqdt0(xx,xp)
    | ~ sdtlseqdt0(xp,xx)
    | ~ aElementOf0(xp,szNzAzT0) ),
    inference(mrr,[status(thm)],[521,36]),
    [iquote('0:MRR:521.3,36.0')] ).

cnf(575,plain,
    aElementOf0(xp,szNzAzT0),
    inference(res,[status(thm),theory(equality)],[30,118]),
    [iquote('0:Res:30.0,118.0')] ).

cnf(578,plain,
    ( ~ sdtlseqdt0(xx,xp)
    | ~ sdtlseqdt0(xp,xx) ),
    inference(mrr,[status(thm)],[540,575]),
    [iquote('0:MRR:540.2,575.0')] ).

cnf(612,plain,
    ( ~ aElementOf0(xx,xQ)
    | ~ sdtlseqdt0(xx,xp) ),
    inference(res,[status(thm),theory(equality)],[112,578]),
    [iquote('0:Res:112.1,578.1')] ).

cnf(613,plain,
    ~ sdtlseqdt0(xx,xp),
    inference(mrr,[status(thm)],[612,38]),
    [iquote('0:MRR:612.0,38.0')] ).

cnf(682,plain,
    sdtlseqdt0(xx,xp),
    inference(res,[status(thm),theory(equality)],[79,144]),
    [iquote('0:Res:79.0,144.0')] ).

cnf(684,plain,
    $false,
    inference(mrr,[status(thm)],[682,613]),
    [iquote('0:MRR:682.0,613.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM624+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul  5 19:19:44 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.17/1.34  
% 1.17/1.34  SPASS V 3.9 
% 1.17/1.34  SPASS beiseite: Proof found.
% 1.17/1.34  % SZS status Theorem
% 1.17/1.34  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.17/1.34  SPASS derived 150 clauses, backtracked 0 clauses, performed 0 splits and kept 451 clauses.
% 1.17/1.34  SPASS allocated 105027 KBytes.
% 1.17/1.34  SPASS spent	0:00:00.98 on the problem.
% 1.17/1.34  		0:00:00.04 for the input.
% 1.17/1.34  		0:00:00.85 for the FLOTTER CNF translation.
% 1.17/1.34  		0:00:00.00 for inferences.
% 1.17/1.34  		0:00:00.00 for the backtracking.
% 1.17/1.34  		0:00:00.05 for the reduction.
% 1.17/1.34  
% 1.17/1.34  
% 1.17/1.34  Here is a proof with depth 2, length 17 :
% 1.17/1.34  % SZS output start Refutation
% See solution above
% 1.17/1.34  Formulae used in the proof : m__5173 m__5365 m__5481 m__ m__5147 m__5518 m__5401 mLessASymm
% 1.17/1.34  
%------------------------------------------------------------------------------