%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO146-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n016.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 1.03s 1.23s
% Output   : Refutation 1.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   15 (   8 unt;   1 nHn;  15 RR)
%            Number of literals    :   22 (   0 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( connect(sk28,sk27,sk29)
    | connect(sk27,sk28,sk29) ),
    file('GEO146-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ connect(sk27,sk28,sk29)
    | ~ connect(sk28,sk27,sk29) ),
    file('GEO146-1.p',unknown),
    [] ).

cnf(101,axiom,
    ( ~ connect(u,v,w)
    | once(at_the_same_time(at(u,w),at(v,w))) ),
    file('GEO146-1.p',unknown),
    [] ).

cnf(102,axiom,
    ( ~ once(at_the_same_time(at(u,v),at(w,v)))
    | connect(u,w,v) ),
    file('GEO146-1.p',unknown),
    [] ).

cnf(104,axiom,
    ( ~ once(at_the_same_time(u,v))
    | once(at_the_same_time(v,u)) ),
    file('GEO146-1.p',unknown),
    [] ).

cnf(127,plain,
    connect(sk28,sk27,sk29),
    inference(spt,[spt(split,[position(s1)])],[1]),
    [iquote('1:Spt:1.0')] ).

cnf(128,plain,
    ~ connect(sk27,sk28,sk29),
    inference(mrr,[status(thm)],[4,127]),
    [iquote('1:MRR:4.1,127.0')] ).

cnf(401,plain,
    ( ~ connect(u,v,w)
    | once(at_the_same_time(at(v,w),at(u,w))) ),
    inference(res,[status(thm),theory(equality)],[101,104]),
    [iquote('0:Res:101.1,104.0')] ).

cnf(7319,plain,
    ( ~ connect(u,v,w)
    | connect(v,u,w) ),
    inference(res,[status(thm),theory(equality)],[401,102]),
    [iquote('0:Res:401.1,102.0')] ).

cnf(7321,plain,
    connect(sk27,sk28,sk29),
    inference(res,[status(thm),theory(equality)],[127,7319]),
    [iquote('1:Res:127.0,7319.0')] ).

cnf(7338,plain,
    $false,
    inference(mrr,[status(thm)],[7321,128]),
    [iquote('1:MRR:7321.0,128.0')] ).

cnf(7339,plain,
    ~ connect(sk28,sk27,sk29),
    inference(spt,[spt(split,[position(sa)])],[7338,127]),
    [iquote('1:Spt:7338.0,1.0,127.0')] ).

cnf(7340,plain,
    connect(sk27,sk28,sk29),
    inference(spt,[spt(split,[position(s2)])],[1]),
    [iquote('1:Spt:7338.0,1.1')] ).

cnf(7341,plain,
    connect(sk28,sk27,sk29),
    inference(res,[status(thm),theory(equality)],[7340,7319]),
    [iquote('1:Res:7340.0,7319.0')] ).

cnf(7346,plain,
    $false,
    inference(mrr,[status(thm)],[7341,7339]),
    [iquote('1:MRR:7341.0,7339.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO146-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 15:05:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.03/1.23  
% 1.03/1.23  SPASS V 3.9 
% 1.03/1.23  SPASS beiseite: Proof found.
% 1.03/1.23  % SZS status Theorem
% 1.03/1.23  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.03/1.23  SPASS derived 7212 clauses, backtracked 3 clauses, performed 1 splits and kept 1312 clauses.
% 1.03/1.23  SPASS allocated 80330 KBytes.
% 1.03/1.23  SPASS spent	0:00:00.81 on the problem.
% 1.03/1.23  		0:00:00.04 for the input.
% 1.03/1.23  		0:00:00.00 for the FLOTTER CNF translation.
% 1.03/1.23  		0:00:00.08 for inferences.
% 1.03/1.23  		0:00:00.00 for the backtracking.
% 1.03/1.23  		0:00:00.64 for the reduction.
% 1.03/1.23  
% 1.03/1.23  
% 1.03/1.23  Here is a proof with depth 3, length 15 :
% 1.03/1.23  % SZS output start Refutation
% See solution above
% 1.03/1.23  Formulae used in the proof : t12_156 t12_159 connect_defn_1 connect_defn_2 symmetry_of_at_the_same_time_4
% 1.03/1.23  
%------------------------------------------------------------------------------