%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO081-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n004.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 : Sat Jul 16 06:22:09 EDT 2022

% Result   : Unsatisfiable 0.19s 0.43s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   8 unt;   1 nHn;  13 RR)
%            Number of literals    :   19 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    part_of(sk14,sk15),
    file('GEO081-1.p',unknown),
    [] ).

cnf(2,axiom,
    part_of(sk15,sk16),
    file('GEO081-1.p',unknown),
    [] ).

cnf(3,axiom,
    ~ part_of(sk14,sk16),
    file('GEO081-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ incident_c(u,v)
    | ~ part_of(v,w)
    | incident_c(u,w) ),
    file('GEO081-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( part_of(u,v)
    | incident_c(ax0_sk1(u,v),u) ),
    file('GEO081-1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ incident_c(ax0_sk1(u,v),v)
    | part_of(u,v) ),
    file('GEO081-1.p',unknown),
    [] ).

cnf(53,plain,
    ( ~ incident_c(u,sk15)
    | incident_c(u,sk16) ),
    inference(res,[status(thm),theory(equality)],[2,4]),
    [iquote('0:Res:2.0,4.0')] ).

cnf(60,plain,
    ( ~ incident_c(u,sk14)
    | incident_c(u,sk15) ),
    inference(res,[status(thm),theory(equality)],[1,4]),
    [iquote('0:Res:1.0,4.0')] ).

cnf(66,plain,
    ~ incident_c(ax0_sk1(sk14,sk16),sk16),
    inference(res,[status(thm),theory(equality)],[6,3]),
    [iquote('0:Res:6.1,3.0')] ).

cnf(67,plain,
    incident_c(ax0_sk1(sk14,sk16),sk14),
    inference(res,[status(thm),theory(equality)],[5,3]),
    [iquote('0:Res:5.1,3.0')] ).

cnf(161,plain,
    ~ incident_c(ax0_sk1(sk14,sk16),sk15),
    inference(res,[status(thm),theory(equality)],[53,66]),
    [iquote('0:Res:53.1,66.0')] ).

cnf(162,plain,
    ~ incident_c(ax0_sk1(sk14,sk16),sk14),
    inference(res,[status(thm),theory(equality)],[60,161]),
    [iquote('0:Res:60.1,161.0')] ).

cnf(163,plain,
    $false,
    inference(mrr,[status(thm)],[162,67]),
    [iquote('0:MRR:162.0,67.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO081-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n004.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 : Sat Jun 18 00:32:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.43  
% 0.19/0.43  SPASS V 3.9 
% 0.19/0.43  SPASS beiseite: Proof found.
% 0.19/0.43  % SZS status Theorem
% 0.19/0.43  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.43  SPASS derived 79 clauses, backtracked 32 clauses, performed 6 splits and kept 123 clauses.
% 0.19/0.43  SPASS allocated 75761 KBytes.
% 0.19/0.43  SPASS spent	0:00:00.08 on the problem.
% 0.19/0.43  		0:00:00.03 for the input.
% 0.19/0.43  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43  		0:00:00.00 for inferences.
% 0.19/0.43  		0:00:00.00 for the backtracking.
% 0.19/0.43  		0:00:00.02 for the reduction.
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  Here is a proof with depth 3, length 13 :
% 0.19/0.43  % SZS output start Refutation
% See solution above
% 0.19/0.43  Formulae used in the proof : part_of_transitivity_67 part_of_transitivity_68 part_of_transitivity_69 part_of_defn_1 part_of_defn_2 part_of_defn_3
% 0.19/0.43  
%------------------------------------------------------------------------------