%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO148+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 06:22:44 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   17 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    connect(skc6,skc7,skc5),
    file('GEO148+1.p',unknown),
    [] ).

cnf(5,axiom,
    ordered_by(trajectory_of(skc6),skc5,skc9),
    file('GEO148+1.p',unknown),
    [] ).

cnf(6,axiom,
    ordered_by(trajectory_of(skc7),skc8,skc5),
    file('GEO148+1.p',unknown),
    [] ).

cnf(25,axiom,
    once(at_the_same_time(at(skc6,skc9),at(skc7,skc8))),
    file('GEO148+1.p',unknown),
    [] ).

cnf(60,axiom,
    ( ~ connect(u,v,w)
    | once(at_the_same_time(at(u,w),at(v,w))) ),
    file('GEO148+1.p',unknown),
    [] ).

cnf(99,axiom,
    ( ~ once(at_the_same_time(at(u,v),at(w,x)))
    | ~ once(at_the_same_time(at(u,y),at(w,z)))
    | ~ ordered_by(trajectory_of(w),x,z)
    | ~ ordered_by(trajectory_of(u),y,v) ),
    file('GEO148+1.p',unknown),
    [] ).

cnf(103,plain,
    once(at_the_same_time(at(skc6,skc5),at(skc7,skc5))),
    inference(res,[status(thm),theory(equality)],[2,60]),
    [iquote('0:Res:2.0,60.0')] ).

cnf(105,plain,
    ( ~ once(at_the_same_time(at(u,v),at(skc7,skc8)))
    | ~ once(at_the_same_time(at(u,w),at(skc7,skc5)))
    | ~ ordered_by(trajectory_of(u),w,v) ),
    inference(res,[status(thm),theory(equality)],[6,99]),
    [iquote('0:Res:6.0,99.2')] ).

cnf(127,plain,
    ( ~ once(at_the_same_time(at(skc6,skc5),at(skc7,skc5)))
    | ~ once(at_the_same_time(at(skc6,skc9),at(skc7,skc8))) ),
    inference(res,[status(thm),theory(equality)],[5,105]),
    [iquote('0:Res:5.0,105.1')] ).

cnf(141,plain,
    $false,
    inference(mrr,[status(thm)],[127,103,25]),
    [iquote('0:MRR:127.0,127.1,103.0,25.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO148+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 18 14:25:08 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.49  
% 0.19/0.49  SPASS V 3.9 
% 0.19/0.49  SPASS beiseite: Proof found.
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.49  SPASS derived 36 clauses, backtracked 0 clauses, performed 0 splits and kept 126 clauses.
% 0.19/0.49  SPASS allocated 98547 KBytes.
% 0.19/0.49  SPASS spent	0:00:00.15 on the problem.
% 0.19/0.49  		0:00:00.04 for the input.
% 0.19/0.49  		0:00:00.08 for the FLOTTER CNF translation.
% 0.19/0.49  		0:00:00.00 for inferences.
% 0.19/0.49  		0:00:00.00 for the backtracking.
% 0.19/0.49  		0:00:00.01 for the reduction.
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  Here is a proof with depth 2, length 10 :
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  Formulae used in the proof : t14 connect_defn homogeneous_behaviour
% 0.19/0.49  
%------------------------------------------------------------------------------