TSTP Solution File: KRS215+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS215+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n024.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 03:30:54 EDT 2022

% Result   : Theorem 20.71s 20.88s
% Output   : Refutation 20.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   6 unt;   4 nHn;  14 RR)
%            Number of literals    :   26 (   0 equ;  10 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;   8 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    model(u,skc57),
    file('KRS215+1.p',unknown),
    [] ).

cnf(9,axiom,
    ~ nota(csa,thm),
    file('KRS215+1.p',unknown),
    [] ).

cnf(11,axiom,
    ~ model(u,skc61),
    file('KRS215+1.p',unknown),
    [] ).

cnf(18,axiom,
    ( model(u,v)
    | model(u,not__dfg(v)) ),
    file('KRS215+1.p',unknown),
    [] ).

cnf(71,axiom,
    ( ~ model(u,v)
    | ~ status__dfg(v,w,thm)
    | model(u,w) ),
    file('KRS215+1.p',unknown),
    [] ).

cnf(82,axiom,
    ( ~ status__dfg(u,v,w)
    | nota(w,x)
    | status__dfg(u,v,x) ),
    file('KRS215+1.p',unknown),
    [] ).

cnf(91,axiom,
    ( ~ model(u,v)
    | ~ model(u,not__dfg(w))
    | status__dfg(v,w,csa) ),
    file('KRS215+1.p',unknown),
    [] ).

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

cnf(1807,plain,
    ( ~ model(u,v)
    | model(u,w)
    | status__dfg(v,w,csa) ),
    inference(res,[status(thm),theory(equality)],[18,91]),
    [iquote('0:Res:18.1,91.1')] ).

cnf(17778,plain,
    ( model(u,v)
    | status__dfg(skc57,v,csa) ),
    inference(res,[status(thm),theory(equality)],[1,1807]),
    [iquote('0:Res:1.0,1807.0')] ).

cnf(52153,plain,
    status__dfg(skc57,skc61,csa),
    inference(res,[status(thm),theory(equality)],[17778,11]),
    [iquote('0:Res:17778.0,11.0')] ).

cnf(52294,plain,
    status__dfg(skc57,skc61,thm),
    inference(res,[status(thm),theory(equality)],[52153,112]),
    [iquote('0:Res:52153.0,112.0')] ).

cnf(52975,plain,
    ( ~ model(u,skc57)
    | model(u,skc61) ),
    inference(res,[status(thm),theory(equality)],[52294,71]),
    [iquote('0:Res:52294.0,71.1')] ).

cnf(52990,plain,
    $false,
    inference(mrr,[status(thm)],[52975,1,11]),
    [iquote('0:MRR:52975.0,52975.1,1.0,11.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS215+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.12  % Command  : run_spass %d %s
% 0.12/0.31  % Computer : n024.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 600
% 0.12/0.31  % DateTime : Tue Jun  7 17:33:05 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 20.71/20.88  
% 20.71/20.88  SPASS V 3.9 
% 20.71/20.88  SPASS beiseite: Proof found.
% 20.71/20.88  % SZS status Theorem
% 20.71/20.88  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 20.71/20.88  SPASS derived 51732 clauses, backtracked 5998 clauses, performed 204 splits and kept 24598 clauses.
% 20.71/20.88  SPASS allocated 111493 KBytes.
% 20.71/20.88  SPASS spent	0:0:20.24 on the problem.
% 20.71/20.88  		0:00:00.04 for the input.
% 20.71/20.88  		0:00:00.21 for the FLOTTER CNF translation.
% 20.71/20.88  		0:00:00.27 for inferences.
% 20.71/20.88  		0:00:01.44 for the backtracking.
% 20.71/20.88  		0:0:17.56 for the reduction.
% 20.71/20.88  
% 20.71/20.88  
% 20.71/20.88  Here is a proof with depth 5, length 14 :
% 20.71/20.88  % SZS output start Refutation
% See solution above
% 20.71/20.88  Formulae used in the proof : tautology nota_csa_thm contradiction not__dfg thm nota csa
% 20.71/20.88  
%------------------------------------------------------------------------------