%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO047-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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 06:21:52 EDT 2022

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;  11 RR)
%            Number of literals    :   15 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(27,axiom,
    ( ~ between(u,v,w)
    | between(w,v,u) ),
    file('GEO047-3.p',unknown),
    [] ).

cnf(37,axiom,
    ( ~ between(u,v,w)
    | ~ between(x,u,w)
    | between(x,v,w) ),
    file('GEO047-3.p',unknown),
    [] ).

cnf(38,axiom,
    between(u__dfg,v__dfg,w__dfg),
    file('GEO047-3.p',unknown),
    [] ).

cnf(39,axiom,
    between(u__dfg,w__dfg,x__dfg),
    file('GEO047-3.p',unknown),
    [] ).

cnf(40,axiom,
    ~ between(u__dfg,v__dfg,x__dfg),
    file('GEO047-3.p',unknown),
    [] ).

cnf(65,plain,
    ~ between(x__dfg,v__dfg,u__dfg),
    inference(res,[status(thm),theory(equality)],[27,40]),
    [iquote('0:Res:27.1,40.0')] ).

cnf(115,plain,
    between(x__dfg,w__dfg,u__dfg),
    inference(res,[status(thm),theory(equality)],[39,27]),
    [iquote('0:Res:39.0,27.0')] ).

cnf(116,plain,
    between(w__dfg,v__dfg,u__dfg),
    inference(res,[status(thm),theory(equality)],[38,27]),
    [iquote('0:Res:38.0,27.0')] ).

cnf(482,plain,
    ( ~ between(u,w__dfg,u__dfg)
    | between(u,v__dfg,u__dfg) ),
    inference(res,[status(thm),theory(equality)],[116,37]),
    [iquote('0:Res:116.0,37.0')] ).

cnf(747,plain,
    between(x__dfg,v__dfg,u__dfg),
    inference(res,[status(thm),theory(equality)],[115,482]),
    [iquote('0:Res:115.0,482.0')] ).

cnf(755,plain,
    $false,
    inference(mrr,[status(thm)],[747,65]),
    [iquote('0:MRR:747.0,65.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO047-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n021.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 11:28:31 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.47  
% 0.18/0.47  SPASS V 3.9 
% 0.18/0.47  SPASS beiseite: Proof found.
% 0.18/0.47  % SZS status Theorem
% 0.18/0.47  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.47  SPASS derived 654 clauses, backtracked 0 clauses, performed 1 splits and kept 305 clauses.
% 0.18/0.47  SPASS allocated 63579 KBytes.
% 0.18/0.47  SPASS spent	0:00:00.13 on the problem.
% 0.18/0.47  		0:00:00.04 for the input.
% 0.18/0.47  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.47  		0:00:00.01 for inferences.
% 0.18/0.47  		0:00:00.00 for the backtracking.
% 0.18/0.47  		0:00:00.05 for the reduction.
% 0.18/0.47  
% 0.18/0.47  
% 0.18/0.47  Here is a proof with depth 3, length 11 :
% 0.18/0.47  % SZS output start Refutation
% See solution above
% 0.18/0.47  Formulae used in the proof : t1 b8 v_between_u_and_w w_between_u_and_x prove_v_between_u_and_x
% 0.18/0.47  
%------------------------------------------------------------------------------