TSTP Solution File: RNG101+2 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : RNG101+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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 20:41:28 EDT 2022

% Result   : Theorem 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    aElement0(skc37),
    file('RNG101+2.p',unknown),
    [] ).

cnf(17,axiom,
    equal(sdtasdt0(xc,skc37),xx),
    file('RNG101+2.p',unknown),
    [] ).

cnf(28,axiom,
    ( ~ aElement0(u)
    | ~ equal(sdtasdt0(xc,u),xx) ),
    file('RNG101+2.p',unknown),
    [] ).

cnf(108,plain,
    ~ aElement0(skc37),
    inference(res,[status(thm),theory(equality)],[17,28]),
    [iquote('0:Res:17.0,28.1')] ).

cnf(109,plain,
    $false,
    inference(mrr,[status(thm)],[108,5]),
    [iquote('0:MRR:108.0,5.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : RNG101+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.32  % Computer : n021.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % 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 08:11:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.53  
% 0.18/0.53  SPASS V 3.9 
% 0.18/0.53  SPASS beiseite: Proof found.
% 0.18/0.53  % SZS status Theorem
% 0.18/0.53  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.53  SPASS derived 7 clauses, backtracked 0 clauses, performed 0 splits and kept 95 clauses.
% 0.18/0.53  SPASS allocated 99338 KBytes.
% 0.18/0.53  SPASS spent	0:00:00.19 on the problem.
% 0.18/0.53  		0:00:00.04 for the input.
% 0.18/0.53  		0:00:00.12 for the FLOTTER CNF translation.
% 0.18/0.53  		0:00:00.00 for inferences.
% 0.18/0.53  		0:00:00.00 for the backtracking.
% 0.18/0.53  		0:00:00.01 for the reduction.
% 0.18/0.53  
% 0.18/0.53  
% 0.18/0.53  Here is a proof with depth 1, length 5 :
% 0.18/0.53  % SZS output start Refutation
% See solution above
% 0.18/0.53  Formulae used in the proof : m__1933 m__
% 0.18/0.53  
%------------------------------------------------------------------------------