TSTP Solution File: RNG115+4 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : RNG115+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n028.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 20:41:31 EDT 2022

% Result   : Theorem 0.18s 0.60s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   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;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(39,axiom,
    aElementOf0(skc57,slsdtgt0(xa)),
    file('RNG115+4.p',unknown),
    [] ).

cnf(40,axiom,
    aElementOf0(skc56,slsdtgt0(xb)),
    file('RNG115+4.p',unknown),
    [] ).

cnf(52,axiom,
    equal(sdtpldt0(skc57,skc56),xu),
    file('RNG115+4.p',unknown),
    [] ).

cnf(62,axiom,
    ( ~ aElementOf0(u,slsdtgt0(xa))
    | skP5(u) ),
    file('RNG115+4.p',unknown),
    [] ).

cnf(115,axiom,
    ( ~ skP5(u)
    | ~ aElementOf0(v,slsdtgt0(xb))
    | ~ equal(sdtpldt0(u,v),xu) ),
    file('RNG115+4.p',unknown),
    [] ).

cnf(165,plain,
    skP5(skc57),
    inference(res,[status(thm),theory(equality)],[39,62]),
    [iquote('0:Res:39.0,62.0')] ).

cnf(200,plain,
    ( ~ skP5(skc57)
    | ~ aElementOf0(skc56,slsdtgt0(xb)) ),
    inference(res,[status(thm),theory(equality)],[52,115]),
    [iquote('0:Res:52.0,115.2')] ).

cnf(229,plain,
    $false,
    inference(mrr,[status(thm)],[200,165,40]),
    [iquote('0:MRR:200.0,200.1,165.0,40.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : RNG115+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon May 30 05:02:19 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.60  
% 0.18/0.60  SPASS V 3.9 
% 0.18/0.60  SPASS beiseite: Proof found.
% 0.18/0.60  % SZS status Theorem
% 0.18/0.60  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.60  SPASS derived 38 clauses, backtracked 0 clauses, performed 0 splits and kept 179 clauses.
% 0.18/0.60  SPASS allocated 100030 KBytes.
% 0.18/0.60  SPASS spent	0:00:00.26 on the problem.
% 0.18/0.60  		0:00:00.04 for the input.
% 0.18/0.60  		0:00:00.19 for the FLOTTER CNF translation.
% 0.18/0.60  		0:00:00.00 for inferences.
% 0.18/0.60  		0:00:00.00 for the backtracking.
% 0.18/0.60  		0:00:00.01 for the reduction.
% 0.18/0.60  
% 0.18/0.60  
% 0.18/0.60  Here is a proof with depth 1, length 8 :
% 0.18/0.60  % SZS output start Refutation
% See solution above
% 0.18/0.60  Formulae used in the proof : m__2273 m__
% 0.18/0.60  
%------------------------------------------------------------------------------