%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM482+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n009.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 14:26:39 EDT 2022

% Result   : Theorem 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   16 (   6 unt;   0 nHn;  16 RR)
%            Number of literals    :   37 (   0 equ;  25 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    isPrime0(xk),
    file('NUM482+1.p',unknown),
    [] ).

cnf(3,axiom,
    aNaturalNumber0(sz10),
    file('NUM482+1.p',unknown),
    [] ).

cnf(4,axiom,
    aNaturalNumber0(xk),
    file('NUM482+1.p',unknown),
    [] ).

cnf(15,axiom,
    ( ~ aNaturalNumber0(u)
    | equal(sdtasdt0(u,sz10),u) ),
    file('NUM482+1.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ isPrime0(u)
    | ~ aNaturalNumber0(u)
    | ~ doDivides0(u,xk) ),
    file('NUM482+1.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ aNaturalNumber0(u)
    | ~ aNaturalNumber0(v)
    | aNaturalNumber0(sdtasdt0(v,u)) ),
    file('NUM482+1.p',unknown),
    [] ).

cnf(46,axiom,
    ( ~ aNaturalNumber0(u)
    | ~ aNaturalNumber0(v)
    | ~ aNaturalNumber0(w)
    | ~ equal(u,sdtasdt0(v,w))
    | doDivides0(v,u) ),
    file('NUM482+1.p',unknown),
    [] ).

cnf(76,plain,
    ( ~ aNaturalNumber0(xk)
    | ~ doDivides0(xk,xk) ),
    inference(res,[status(thm),theory(equality)],[1,19]),
    [iquote('0:Res:1.0,19.1')] ).

cnf(88,plain,
    ~ doDivides0(xk,xk),
    inference(mrr,[status(thm)],[76,4]),
    [iquote('0:MRR:76.0,4.0')] ).

cnf(397,plain,
    ( ~ aNaturalNumber0(sdtasdt0(u,v))
    | ~ aNaturalNumber0(u)
    | ~ aNaturalNumber0(v)
    | doDivides0(u,sdtasdt0(u,v)) ),
    inference(eqr,[status(thm),theory(equality)],[46]),
    [iquote('0:EqR:46.3')] ).

cnf(405,plain,
    ( ~ aNaturalNumber0(u)
    | ~ aNaturalNumber0(v)
    | doDivides0(u,sdtasdt0(u,v)) ),
    inference(ssi,[status(thm)],[397,21]),
    [iquote('0:SSi:397.0,21.2')] ).

cnf(444,plain,
    ( ~ aNaturalNumber0(u)
    | ~ aNaturalNumber0(u)
    | ~ aNaturalNumber0(sz10)
    | doDivides0(u,u) ),
    inference(spr,[status(thm),theory(equality)],[15,405]),
    [iquote('0:SpR:15.1,405.2')] ).

cnf(457,plain,
    ( ~ aNaturalNumber0(u)
    | ~ aNaturalNumber0(sz10)
    | doDivides0(u,u) ),
    inference(obv,[status(thm),theory(equality)],[444]),
    [iquote('0:Obv:444.0')] ).

cnf(458,plain,
    ( ~ aNaturalNumber0(u)
    | doDivides0(u,u) ),
    inference(ssi,[status(thm)],[457,3]),
    [iquote('0:SSi:457.1,3.0')] ).

cnf(482,plain,
    ~ aNaturalNumber0(xk),
    inference(res,[status(thm),theory(equality)],[458,88]),
    [iquote('0:Res:458.1,88.0')] ).

cnf(487,plain,
    $false,
    inference(ssi,[status(thm)],[482,1,4]),
    [iquote('0:SSi:482.0,1.0,4.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM482+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : run_spass %d %s
% 0.13/0.32  % Computer : n009.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Thu Jul  7 05:43:37 EDT 2022
% 0.13/0.32  % CPUTime  : 
% 0.18/0.47  
% 0.18/0.47  SPASS V 3.9 
% 0.18/0.47  SPASS beiseite: Proof found.
% 0.18/0.47  % SZS status Theorem
% 0.18/0.47  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.47  SPASS derived 268 clauses, backtracked 0 clauses, performed 0 splits and kept 146 clauses.
% 0.18/0.47  SPASS allocated 98013 KBytes.
% 0.18/0.47  SPASS spent	0:00:00.14 on the problem.
% 0.18/0.47  		0:00:00.04 for the input.
% 0.18/0.47  		0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.47  		0:00:00.00 for inferences.
% 0.18/0.47  		0:00:00.00 for the backtracking.
% 0.18/0.47  		0:00:00.03 for the reduction.
% 0.18/0.47  
% 0.18/0.47  
% 0.18/0.47  Here is a proof with depth 3, length 16 :
% 0.18/0.47  % SZS output start Refutation
% See solution above
% 0.18/0.47  Formulae used in the proof : m__ mSortsC_01 m__1716 m_MulUnit mSortsB_02 mDefDiv
% 0.18/0.47  
%------------------------------------------------------------------------------