TSTP Solution File: NLP208-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NLP208-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n015.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 05:28:13 EDT 2022

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   21 (  10 unt;   0 nHn;  21 RR)
%            Number of literals    :   32 (   0 equ;  17 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(10,axiom,
    ( ~ wheel(u,v)
    | device(u,v) ),
    file('NLP208-1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ device(u,v)
    | instrumentality(u,v) ),
    file('NLP208-1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ instrumentality(u,v)
    | artifact(u,v) ),
    file('NLP208-1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ artifact(u,v)
    | object(u,v) ),
    file('NLP208-1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ object(u,v)
    | unisex(u,v) ),
    file('NLP208-1.p',unknown),
    [] ).

cnf(34,axiom,
    ( ~ man(u,v)
    | male(u,v) ),
    file('NLP208-1.p',unknown),
    [] ).

cnf(60,axiom,
    ( ~ unisex(u,v)
    | ~ male(u,v) ),
    file('NLP208-1.p',unknown),
    [] ).

cnf(67,axiom,
    ( ~ be(u,v,w,x)
    | equal(w,x) ),
    file('NLP208-1.p',unknown),
    [] ).

cnf(94,axiom,
    man(skc11,skc15),
    file('NLP208-1.p',unknown),
    [] ).

cnf(98,axiom,
    wheel(skc11,skc12),
    file('NLP208-1.p',unknown),
    [] ).

cnf(106,axiom,
    be(skc11,skc13,skc15,skc12),
    file('NLP208-1.p',unknown),
    [] ).

cnf(122,plain,
    device(skc11,skc12),
    inference(res,[status(thm),theory(equality)],[98,10]),
    [iquote('0:Res:98.0,10.0')] ).

cnf(130,plain,
    male(skc11,skc15),
    inference(res,[status(thm),theory(equality)],[94,34]),
    [iquote('0:Res:94.0,34.0')] ).

cnf(158,plain,
    equal(skc12,skc15),
    inference(res,[status(thm),theory(equality)],[106,67]),
    [iquote('0:Res:106.0,67.0')] ).

cnf(162,plain,
    device(skc11,skc15),
    inference(rew,[status(thm),theory(equality)],[158,122]),
    [iquote('0:Rew:158.0,122.0')] ).

cnf(221,plain,
    ( ~ object(u,v)
    | ~ male(u,v) ),
    inference(res,[status(thm),theory(equality)],[20,60]),
    [iquote('0:Res:20.1,60.0')] ).

cnf(333,plain,
    ( ~ artifact(u,v)
    | ~ male(u,v) ),
    inference(res,[status(thm),theory(equality)],[13,221]),
    [iquote('0:Res:13.1,221.0')] ).

cnf(441,plain,
    ( ~ instrumentality(u,v)
    | ~ male(u,v) ),
    inference(res,[status(thm),theory(equality)],[12,333]),
    [iquote('0:Res:12.1,333.0')] ).

cnf(513,plain,
    ~ instrumentality(skc11,skc15),
    inference(res,[status(thm),theory(equality)],[130,441]),
    [iquote('0:Res:130.0,441.1')] ).

cnf(515,plain,
    ~ device(skc11,skc15),
    inference(res,[status(thm),theory(equality)],[11,513]),
    [iquote('0:Res:11.1,513.0')] ).

cnf(518,plain,
    $false,
    inference(mrr,[status(thm)],[515,162]),
    [iquote('0:MRR:515.0,162.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NLP208-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n015.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 : Thu Jun 30 23:25:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  
% 0.18/0.45  SPASS V 3.9 
% 0.18/0.45  SPASS beiseite: Proof found.
% 0.18/0.45  % SZS status Theorem
% 0.18/0.45  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.45  SPASS derived 389 clauses, backtracked 0 clauses, performed 1 splits and kept 410 clauses.
% 0.18/0.45  SPASS allocated 63452 KBytes.
% 0.18/0.45  SPASS spent	0:00:00.11 on the problem.
% 0.18/0.45  		0:00:00.04 for the input.
% 0.18/0.45  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.45  		0:00:00.01 for inferences.
% 0.18/0.45  		0:00:00.00 for the backtracking.
% 0.18/0.45  		0:00:00.02 for the reduction.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Here is a proof with depth 5, length 21 :
% 0.18/0.45  % SZS output start Refutation
% See solution above
% 0.18/0.45  Formulae used in the proof : clause10 clause11 clause12 clause13 clause20 clause34 clause60 clause67 clause94 clause98 clause106
% 0.18/0.45  
%------------------------------------------------------------------------------