%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS179+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 03:30:49 EDT 2022

% Result   : Theorem 0.21s 0.47s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   7 unt;   1 nHn;  13 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 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(1,axiom,
    isa(skc24,skc22),
    file('KRS179+1.p',unknown),
    [] ).

cnf(2,axiom,
    isa(skc22,skc23),
    file('KRS179+1.p',unknown),
    [] ).

cnf(11,axiom,
    ~ isa(skc24,skc23),
    file('KRS179+1.p',unknown),
    [] ).

cnf(25,axiom,
    ( isa(u,v)
    | status__dfg(skf13(v,u),skf12(v,u),u) ),
    file('KRS179+1.p',unknown),
    [] ).

cnf(30,axiom,
    ( ~ status__dfg(skf13(u,v),skf12(u,v),u)
    | isa(w,u) ),
    file('KRS179+1.p',unknown),
    [] ).

cnf(35,axiom,
    ( ~ isa(u,v)
    | ~ status__dfg(w,x,u)
    | status__dfg(w,x,v) ),
    file('KRS179+1.p',unknown),
    [] ).

cnf(41,plain,
    ( ~ status__dfg(u,v,skc22)
    | status__dfg(u,v,skc23) ),
    inference(res,[status(thm),theory(equality)],[2,35]),
    [iquote('0:Res:2.0,35.0')] ).

cnf(42,plain,
    ( ~ status__dfg(u,v,skc24)
    | status__dfg(u,v,skc22) ),
    inference(res,[status(thm),theory(equality)],[1,35]),
    [iquote('0:Res:1.0,35.0')] ).

cnf(43,plain,
    status__dfg(skf13(skc23,skc24),skf12(skc23,skc24),skc24),
    inference(res,[status(thm),theory(equality)],[25,11]),
    [iquote('0:Res:25.1,11.0')] ).

cnf(44,plain,
    ~ status__dfg(skf13(skc23,u),skf12(skc23,u),skc23),
    inference(res,[status(thm),theory(equality)],[30,11]),
    [iquote('0:Res:30.1,11.0')] ).

cnf(51,plain,
    ( ~ status__dfg(u,v,skc24)
    | status__dfg(u,v,skc23) ),
    inference(res,[status(thm),theory(equality)],[42,41]),
    [iquote('0:Res:42.1,41.0')] ).

cnf(53,plain,
    ~ status__dfg(skf13(skc23,u),skf12(skc23,u),skc24),
    inference(res,[status(thm),theory(equality)],[51,44]),
    [iquote('0:Res:51.1,44.0')] ).

cnf(54,plain,
    $false,
    inference(unc,[status(thm)],[53,43]),
    [iquote('0:UnC:53.0,43.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KRS179+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun  7 06:07:36 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  
% 0.21/0.47  SPASS V 3.9 
% 0.21/0.47  SPASS beiseite: Proof found.
% 0.21/0.47  % SZS status Theorem
% 0.21/0.47  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.47  SPASS derived 13 clauses, backtracked 0 clauses, performed 0 splits and kept 48 clauses.
% 0.21/0.47  SPASS allocated 85684 KBytes.
% 0.21/0.47  SPASS spent	0:00:00.11 on the problem.
% 0.21/0.47  		0:00:00.03 for the input.
% 0.21/0.47  		0:00:00.05 for the FLOTTER CNF translation.
% 0.21/0.47  		0:00:00.00 for inferences.
% 0.21/0.47  		0:00:00.00 for the backtracking.
% 0.21/0.47  		0:00:00.00 for the reduction.
% 0.21/0.47  
% 0.21/0.47  
% 0.21/0.47  Here is a proof with depth 3, length 13 :
% 0.21/0.47  % SZS output start Refutation
% See solution above
% 0.21/0.47  Formulae used in the proof : isa_transitive isa
% 0.21/0.47  
%------------------------------------------------------------------------------