TSTP Solution File: KRS265+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS265+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n017.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 03:31:01 EDT 2022

% Result   : Theorem 0.47s 0.64s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   4 unt;   3 nHn;  12 RR)
%            Number of literals    :   21 (   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;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ~ mighta(cax,thm),
    file('KRS265+1.p',unknown),
    [] ).

cnf(11,axiom,
    ~ model(u,skc61),
    file('KRS265+1.p',unknown),
    [] ).

cnf(28,axiom,
    ( model(skf81(u),u)
    | status__dfg(u,v,cax) ),
    file('KRS265+1.p',unknown),
    [] ).

cnf(32,axiom,
    ( model(skf61(u,v),v)
    | status__dfg(v,u,thm) ),
    file('KRS265+1.p',unknown),
    [] ).

cnf(39,axiom,
    ( ~ model(u,v)
    | ~ status__dfg(v,w,cax) ),
    file('KRS265+1.p',unknown),
    [] ).

cnf(92,axiom,
    ( ~ status__dfg(u,v,w)
    | ~ status__dfg(u,v,x)
    | mighta(x,w) ),
    file('KRS265+1.p',unknown),
    [] ).

cnf(112,plain,
    ( ~ status__dfg(u,v,thm)
    | ~ status__dfg(u,v,cax) ),
    inference(res,[status(thm),theory(equality)],[92,9]),
    [iquote('0:Res:92.2,9.0')] ).

cnf(169,plain,
    ( ~ model(u,v)
    | model(skf81(v),v) ),
    inference(res,[status(thm),theory(equality)],[28,39]),
    [iquote('0:Res:28.1,39.1')] ).

cnf(190,plain,
    ( status__dfg(u,v,thm)
    | model(skf81(u),u) ),
    inference(res,[status(thm),theory(equality)],[32,169]),
    [iquote('0:Res:32.0,169.0')] ).

cnf(351,plain,
    ( ~ status__dfg(u,v,thm)
    | model(skf81(u),u) ),
    inference(res,[status(thm),theory(equality)],[28,112]),
    [iquote('0:Res:28.1,112.1')] ).

cnf(356,plain,
    model(skf81(u),u),
    inference(mrr,[status(thm)],[351,190]),
    [iquote('0:MRR:351.0,190.0')] ).

cnf(357,plain,
    $false,
    inference(unc,[status(thm)],[356,11]),
    [iquote('0:UnC:356.0,11.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : KRS265+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.13  % Command  : run_spass %d %s
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun  7 17:39:02 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.47/0.64  
% 0.47/0.64  SPASS V 3.9 
% 0.47/0.64  SPASS beiseite: Proof found.
% 0.47/0.64  % SZS status Theorem
% 0.47/0.64  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.47/0.64  SPASS derived 240 clauses, backtracked 0 clauses, performed 1 splits and kept 272 clauses.
% 0.47/0.64  SPASS allocated 87718 KBytes.
% 0.47/0.64  SPASS spent	0:00:00.29 on the problem.
% 0.47/0.64  		0:00:00.04 for the input.
% 0.47/0.64  		0:00:00.20 for the FLOTTER CNF translation.
% 0.47/0.64  		0:00:00.00 for inferences.
% 0.47/0.64  		0:00:00.00 for the backtracking.
% 0.47/0.64  		0:00:00.02 for the reduction.
% 0.47/0.64  
% 0.47/0.64  
% 0.47/0.64  Here is a proof with depth 2, length 12 :
% 0.47/0.64  % SZS output start Refutation
% See solution above
% 0.47/0.64  Formulae used in the proof : mighta_cax_thm contradiction cax thm mighta
% 0.47/0.64  
%------------------------------------------------------------------------------