TSTP Solution File: KRS195+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS195+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 03:30:51 EDT 2022

% Result   : Theorem 0.43s 0.62s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   6 unt;   2 nHn;  10 RR)
%            Number of literals    :   14 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ~ isa(tca,thm),
    file('KRS195+1.p',unknown),
    [] ).

cnf(32,axiom,
    ( model(skf61(u,v),v)
    | status__dfg(v,u,thm) ),
    file('KRS195+1.p',unknown),
    [] ).

cnf(42,axiom,
    ( ~ model(u,v)
    | ~ status__dfg(v,w,tca) ),
    file('KRS195+1.p',unknown),
    [] ).

cnf(65,axiom,
    ( isa(u,v)
    | status__dfg(skf97(v,u),skf96(v,u),u) ),
    file('KRS195+1.p',unknown),
    [] ).

cnf(81,axiom,
    ( ~ status__dfg(skf97(u,v),skf96(u,v),u)
    | isa(w,u) ),
    file('KRS195+1.p',unknown),
    [] ).

cnf(112,plain,
    status__dfg(skf97(thm,tca),skf96(thm,tca),tca),
    inference(res,[status(thm),theory(equality)],[65,9]),
    [iquote('0:Res:65.1,9.0')] ).

cnf(113,plain,
    ~ status__dfg(skf97(thm,u),skf96(thm,u),thm),
    inference(res,[status(thm),theory(equality)],[81,9]),
    [iquote('0:Res:81.1,9.0')] ).

cnf(171,plain,
    ~ model(u,skf97(thm,tca)),
    inference(res,[status(thm),theory(equality)],[112,42]),
    [iquote('0:Res:112.0,42.1')] ).

cnf(203,plain,
    status__dfg(skf97(thm,tca),u,thm),
    inference(res,[status(thm),theory(equality)],[32,171]),
    [iquote('0:Res:32.0,171.0')] ).

cnf(205,plain,
    $false,
    inference(unc,[status(thm)],[203,113]),
    [iquote('0:UnC:203.0,113.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KRS195+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n025.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun  7 09:22:48 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.43/0.62  
% 0.43/0.62  SPASS V 3.9 
% 0.43/0.62  SPASS beiseite: Proof found.
% 0.43/0.62  % SZS status Theorem
% 0.43/0.62  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.43/0.62  SPASS derived 93 clauses, backtracked 0 clauses, performed 0 splits and kept 186 clauses.
% 0.43/0.62  SPASS allocated 87718 KBytes.
% 0.43/0.62  SPASS spent	0:00:00.27 on the problem.
% 0.43/0.62  		0:00:00.04 for the input.
% 0.43/0.62  		0:00:00.19 for the FLOTTER CNF translation.
% 0.43/0.62  		0:00:00.00 for inferences.
% 0.43/0.62  		0:00:00.00 for the backtracking.
% 0.43/0.62  		0:00:00.01 for the reduction.
% 0.43/0.62  
% 0.43/0.62  
% 0.43/0.62  Here is a proof with depth 3, length 10 :
% 0.43/0.62  % SZS output start Refutation
% See solution above
% 0.43/0.62  Formulae used in the proof : isa_tca_thm thm tca isa
% 0.43/0.62  
%------------------------------------------------------------------------------