%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM436+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n006.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 14:26:11 EDT 2022

% Result   : Theorem 0.20s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   17 (  10 unt;   0 nHn;  17 RR)
%            Number of literals    :   27 (   0 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    aInteger0(xp),
    file('NUM436+3.p',unknown),
    [] ).

cnf(6,axiom,
    aInteger0(xq),
    file('NUM436+3.p',unknown),
    [] ).

cnf(8,axiom,
    aInteger0(xm),
    file('NUM436+3.p',unknown),
    [] ).

cnf(30,axiom,
    ( ~ aInteger0(u)
    | ~ aInteger0(v)
    | aInteger0(sdtasdt0(v,u)) ),
    file('NUM436+3.p',unknown),
    [] ).

cnf(35,axiom,
    equal(sdtasdt0(xp,sdtasdt0(xq,xm)),sdtpldt0(xa,smndt0(xb))),
    file('NUM436+3.p',unknown),
    [] ).

cnf(36,axiom,
    equal(sdtasdt0(xq,sdtasdt0(xp,xm)),sdtpldt0(xa,smndt0(xb))),
    file('NUM436+3.p',unknown),
    [] ).

cnf(38,axiom,
    ( ~ aInteger0(u)
    | ~ equal(sdtasdt0(xp,u),sdtpldt0(xa,smndt0(xb)))
    | skC0 ),
    file('NUM436+3.p',unknown),
    [] ).

cnf(42,axiom,
    ( ~ aInteger0(u)
    | ~ skC0
    | ~ equal(sdtasdt0(xq,u),sdtpldt0(xa,smndt0(xb))) ),
    file('NUM436+3.p',unknown),
    [] ).

cnf(73,plain,
    ( ~ aInteger0(sdtasdt0(xp,xm))
    | ~ skC0 ),
    inference(res,[status(thm),theory(equality)],[36,42]),
    [iquote('0:Res:36.0,42.1')] ).

cnf(74,plain,
    ( ~ aInteger0(u)
    | ~ equal(sdtasdt0(xp,u),sdtpldt0(xa,smndt0(xb))) ),
    inference(spt,[spt(split,[position(s1)])],[38]),
    [iquote('1:Spt:38.0,38.1')] ).

cnf(125,plain,
    ( ~ aInteger0(sdtasdt0(xq,xm))
    | ~ equal(sdtpldt0(xa,smndt0(xb)),sdtpldt0(xa,smndt0(xb))) ),
    inference(spl,[status(thm),theory(equality)],[35,74]),
    [iquote('1:SpL:35.0,74.1')] ).

cnf(126,plain,
    ~ aInteger0(sdtasdt0(xq,xm)),
    inference(obv,[status(thm),theory(equality)],[125]),
    [iquote('1:Obv:125.1')] ).

cnf(139,plain,
    ( ~ aInteger0(xq)
    | ~ aInteger0(xm) ),
    inference(sor,[status(thm)],[126,30]),
    [iquote('1:SoR:126.0,30.2')] ).

cnf(151,plain,
    $false,
    inference(ssi,[status(thm)],[139,8,6]),
    [iquote('1:SSi:139.1,139.0,8.0,6.0')] ).

cnf(156,plain,
    skC0,
    inference(spt,[spt(split,[position(s2)])],[38]),
    [iquote('1:Spt:151.0,38.2')] ).

cnf(158,plain,
    ~ skC0,
    inference(ssi,[status(thm)],[73,30,5,8]),
    [iquote('0:SSi:73.0,30.0,5.0,8.2')] ).

cnf(159,plain,
    $false,
    inference(mrr,[status(thm)],[158,156]),
    [iquote('1:MRR:158.0,156.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM436+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul  5 09:03:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  
% 0.20/0.46  SPASS V 3.9 
% 0.20/0.46  SPASS beiseite: Proof found.
% 0.20/0.46  % SZS status Theorem
% 0.20/0.46  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.46  SPASS derived 89 clauses, backtracked 28 clauses, performed 3 splits and kept 114 clauses.
% 0.20/0.46  SPASS allocated 97782 KBytes.
% 0.20/0.46  SPASS spent	0:00:00.11 on the problem.
% 0.20/0.46  		0:00:00.04 for the input.
% 0.20/0.46  		0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.46  		0:00:00.00 for inferences.
% 0.20/0.46  		0:00:00.00 for the backtracking.
% 0.20/0.46  		0:00:00.01 for the reduction.
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  Here is a proof with depth 3, length 17 :
% 0.20/0.46  % SZS output start Refutation
% See solution above
% 0.20/0.46  Formulae used in the proof : m__979 m__1032 mIntMult m__1071 m__
% 0.20/0.46  
%------------------------------------------------------------------------------