%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS193+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n028.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 0.48s 0.67s
% Output   : Refutation 0.48s
% 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(cax,thm),
    file('KRS193+1.p',unknown),
    [] ).

cnf(32,axiom,
    ( model(skf61(u,v),v)
    | status__dfg(v,u,thm) ),
    file('KRS193+1.p',unknown),
    [] ).

cnf(39,axiom,
    ( ~ model(u,v)
    | ~ status__dfg(v,w,cax) ),
    file('KRS193+1.p',unknown),
    [] ).

cnf(65,axiom,
    ( isa(u,v)
    | status__dfg(skf97(v,u),skf96(v,u),u) ),
    file('KRS193+1.p',unknown),
    [] ).

cnf(81,axiom,
    ( ~ status__dfg(skf97(u,v),skf96(u,v),u)
    | isa(w,u) ),
    file('KRS193+1.p',unknown),
    [] ).

cnf(112,plain,
    status__dfg(skf97(thm,cax),skf96(thm,cax),cax),
    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(168,plain,
    ~ model(u,skf97(thm,cax)),
    inference(res,[status(thm),theory(equality)],[112,39]),
    [iquote('0:Res:112.0,39.1')] ).

cnf(182,plain,
    status__dfg(skf97(thm,cax),u,thm),
    inference(res,[status(thm),theory(equality)],[32,168]),
    [iquote('0:Res:32.0,168.0')] ).

cnf(183,plain,
    $false,
    inference(unc,[status(thm)],[182,113]),
    [iquote('0:UnC:182.0,113.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS193+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n028.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 : Tue Jun  7 13:22:45 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.48/0.67  
% 0.48/0.67  SPASS V 3.9 
% 0.48/0.67  SPASS beiseite: Proof found.
% 0.48/0.67  % SZS status Theorem
% 0.48/0.67  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.48/0.67  SPASS derived 71 clauses, backtracked 0 clauses, performed 0 splits and kept 171 clauses.
% 0.48/0.67  SPASS allocated 87718 KBytes.
% 0.48/0.67  SPASS spent	0:00:00.33 on the problem.
% 0.48/0.67  		0:00:00.03 for the input.
% 0.48/0.67  		0:00:00.24 for the FLOTTER CNF translation.
% 0.48/0.67  		0:00:00.00 for inferences.
% 0.48/0.67  		0:00:00.00 for the backtracking.
% 0.48/0.67  		0:00:00.02 for the reduction.
% 0.48/0.67  
% 0.48/0.67  
% 0.48/0.67  Here is a proof with depth 3, length 10 :
% 0.48/0.67  % SZS output start Refutation
% See solution above
% 0.48/0.67  Formulae used in the proof : isa_cax_thm thm cax isa
% 0.48/0.67  
%------------------------------------------------------------------------------