TSTP Solution File: KRS200+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS200+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 : Sun Jul 17 03:30:52 EDT 2022

% Result   : Theorem 0.46s 0.63s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   5 unt;   4 nHn;  13 RR)
%            Number of literals    :   23 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ~ nota(unp,thm),
    file('KRS200+1.p',unknown),
    [] ).

cnf(11,axiom,
    ~ model(u,skc61),
    file('KRS200+1.p',unknown),
    [] ).

cnf(18,axiom,
    ( model(u,v)
    | model(u,not__dfg(v)) ),
    file('KRS200+1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ model(u,v)
    | status__dfg(v,w,unp) ),
    file('KRS200+1.p',unknown),
    [] ).

cnf(32,axiom,
    ( model(skf61(u,v),v)
    | status__dfg(v,u,thm) ),
    file('KRS200+1.p',unknown),
    [] ).

cnf(71,axiom,
    ( ~ model(u,v)
    | ~ status__dfg(v,w,thm)
    | model(u,w) ),
    file('KRS200+1.p',unknown),
    [] ).

cnf(82,axiom,
    ( ~ status__dfg(u,v,w)
    | nota(w,x)
    | status__dfg(u,v,x) ),
    file('KRS200+1.p',unknown),
    [] ).

cnf(112,plain,
    ( ~ status__dfg(u,v,unp)
    | status__dfg(u,v,thm) ),
    inference(res,[status(thm),theory(equality)],[82,9]),
    [iquote('0:Res:82.2,9.0')] ).

cnf(191,plain,
    ( status__dfg(u,v,thm)
    | status__dfg(u,w,unp) ),
    inference(res,[status(thm),theory(equality)],[32,20]),
    [iquote('0:Res:32.0,20.0')] ).

cnf(195,plain,
    status__dfg(u,v,thm),
    inference(mrr,[status(thm)],[112,191]),
    [iquote('0:MRR:112.0,191.1')] ).

cnf(196,plain,
    ( ~ model(u,v)
    | model(u,w) ),
    inference(mrr,[status(thm)],[71,195]),
    [iquote('0:MRR:71.1,195.0')] ).

cnf(198,plain,
    model(u,v),
    inference(mrr,[status(thm)],[18,196]),
    [iquote('0:MRR:18.1,196.0')] ).

cnf(217,plain,
    $false,
    inference(unc,[status(thm)],[198,11]),
    [iquote('0:UnC:198.0,11.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KRS200+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun  7 14:16:51 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.46/0.63  
% 0.46/0.63  SPASS V 3.9 
% 0.46/0.63  SPASS beiseite: Proof found.
% 0.46/0.63  % SZS status Theorem
% 0.46/0.63  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.46/0.63  SPASS derived 111 clauses, backtracked 0 clauses, performed 0 splits and kept 196 clauses.
% 0.46/0.63  SPASS allocated 87718 KBytes.
% 0.46/0.63  SPASS spent	0:00:00.28 on the problem.
% 0.46/0.63  		0:00:00.04 for the input.
% 0.46/0.63  		0:00:00.19 for the FLOTTER CNF translation.
% 0.46/0.63  		0:00:00.00 for inferences.
% 0.46/0.63  		0:00:00.00 for the backtracking.
% 0.46/0.63  		0:00:00.02 for the reduction.
% 0.46/0.63  
% 0.46/0.63  
% 0.46/0.63  Here is a proof with depth 1, length 13 :
% 0.46/0.63  % SZS output start Refutation
% See solution above
% 0.46/0.63  Formulae used in the proof : nota_unp_thm contradiction not__dfg unp thm nota
% 0.46/0.63  
%------------------------------------------------------------------------------