%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO147-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n023.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 06:22:43 EDT 2022

% Result   : Unsatisfiable 0.18s 0.43s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  13 RR)
%            Number of literals    :   18 (   0 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    connect(sk28,sk29,sk27),
    file('GEO147-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ incident_o(sk27,trajectory_of(sk29))
    | ~ incident_o(sk27,trajectory_of(sk28)) ),
    file('GEO147-1.p',unknown),
    [] ).

cnf(99,axiom,
    ( ~ connect(u,v,w)
    | once(at_the_same_time(at(u,w),at(v,w))) ),
    file('GEO147-1.p',unknown),
    [] ).

cnf(106,axiom,
    ( ~ once(at_the_same_time(u,v))
    | once(u) ),
    file('GEO147-1.p',unknown),
    [] ).

cnf(107,axiom,
    ( ~ once(at_the_same_time(u,v))
    | once(v) ),
    file('GEO147-1.p',unknown),
    [] ).

cnf(108,axiom,
    ( ~ once(at(u,v))
    | incident_o(v,trajectory_of(u)) ),
    file('GEO147-1.p',unknown),
    [] ).

cnf(115,plain,
    once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))),
    inference(res,[status(thm),theory(equality)],[1,99]),
    [iquote('0:Res:1.0,99.0')] ).

cnf(127,plain,
    once(at(sk28,sk27)),
    inference(res,[status(thm),theory(equality)],[115,106]),
    [iquote('0:Res:115.0,106.0')] ).

cnf(128,plain,
    once(at(sk29,sk27)),
    inference(res,[status(thm),theory(equality)],[115,107]),
    [iquote('0:Res:115.0,107.0')] ).

cnf(136,plain,
    incident_o(sk27,trajectory_of(sk28)),
    inference(res,[status(thm),theory(equality)],[127,108]),
    [iquote('0:Res:127.0,108.0')] ).

cnf(137,plain,
    incident_o(sk27,trajectory_of(sk29)),
    inference(res,[status(thm),theory(equality)],[128,108]),
    [iquote('0:Res:128.0,108.0')] ).

cnf(138,plain,
    ~ incident_o(sk27,trajectory_of(sk29)),
    inference(mrr,[status(thm)],[2,136]),
    [iquote('0:MRR:2.1,136.0')] ).

cnf(139,plain,
    $false,
    inference(mrr,[status(thm)],[138,137]),
    [iquote('0:MRR:138.0,137.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO147-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n023.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 : Fri Jun 17 20:52:34 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.43  
% 0.18/0.43  SPASS V 3.9 
% 0.18/0.43  SPASS beiseite: Proof found.
% 0.18/0.43  % SZS status Theorem
% 0.18/0.43  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.43  SPASS derived 23 clauses, backtracked 0 clauses, performed 0 splits and kept 117 clauses.
% 0.18/0.43  SPASS allocated 75770 KBytes.
% 0.18/0.43  SPASS spent	0:00:00.08 on the problem.
% 0.18/0.43  		0:00:00.04 for the input.
% 0.18/0.43  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.43  		0:00:00.00 for inferences.
% 0.18/0.43  		0:00:00.00 for the backtracking.
% 0.18/0.43  		0:00:00.01 for the reduction.
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  Here is a proof with depth 3, length 13 :
% 0.18/0.43  % SZS output start Refutation
% See solution above
% 0.18/0.43  Formulae used in the proof : t13_156 t13_157 connect_defn_1 conjunction_at_the_same_time_8 conjunction_at_the_same_time_9 at_on_trajectory_10
% 0.18/0.43  
%------------------------------------------------------------------------------