%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO052-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n015.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 06:21:55 EDT 2022

% Result   : Unsatisfiable 1.97s 2.17s
% Output   : Refutation 1.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   7 unt;   4 nHn;  14 RR)
%            Number of literals    :   25 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   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(34,axiom,
    ( ~ between(u,v,w)
    | ~ between(u,x,v)
    | between(x,v,w) ),
    file('GEO052-3.p',unknown),
    [] ).

cnf(60,axiom,
    ( ~ between(u,v,w)
    | ~ between(u,x,w)
    | between(u,v,x)
    | between(u,x,v) ),
    file('GEO052-3.p',unknown),
    [] ).

cnf(61,axiom,
    between(u__dfg,v__dfg,x__dfg),
    file('GEO052-3.p',unknown),
    [] ).

cnf(62,axiom,
    between(u__dfg,w__dfg,x__dfg),
    file('GEO052-3.p',unknown),
    [] ).

cnf(63,axiom,
    ~ between(v__dfg,w__dfg,x__dfg),
    file('GEO052-3.p',unknown),
    [] ).

cnf(64,axiom,
    ~ between(w__dfg,v__dfg,x__dfg),
    file('GEO052-3.p',unknown),
    [] ).

cnf(718,plain,
    ( ~ between(u__dfg,u,w__dfg)
    | between(u,w__dfg,x__dfg) ),
    inference(res,[status(thm),theory(equality)],[62,34]),
    [iquote('0:Res:62.0,34.0')] ).

cnf(719,plain,
    ( ~ between(u__dfg,u,v__dfg)
    | between(u,v__dfg,x__dfg) ),
    inference(res,[status(thm),theory(equality)],[61,34]),
    [iquote('0:Res:61.0,34.0')] ).

cnf(1228,plain,
    ( ~ between(u__dfg,u,x__dfg)
    | between(u__dfg,w__dfg,u)
    | between(u__dfg,u,w__dfg) ),
    inference(res,[status(thm),theory(equality)],[62,60]),
    [iquote('0:Res:62.0,60.0')] ).

cnf(4286,plain,
    ( between(u__dfg,w__dfg,v__dfg)
    | between(u__dfg,v__dfg,w__dfg) ),
    inference(res,[status(thm),theory(equality)],[61,1228]),
    [iquote('0:Res:61.0,1228.0')] ).

cnf(4328,plain,
    ( between(u__dfg,v__dfg,w__dfg)
    | between(w__dfg,v__dfg,x__dfg) ),
    inference(res,[status(thm),theory(equality)],[4286,719]),
    [iquote('0:Res:4286.0,719.0')] ).

cnf(4329,plain,
    between(u__dfg,v__dfg,w__dfg),
    inference(mrr,[status(thm)],[4328,64]),
    [iquote('0:MRR:4328.1,64.0')] ).

cnf(4344,plain,
    between(v__dfg,w__dfg,x__dfg),
    inference(res,[status(thm),theory(equality)],[4329,718]),
    [iquote('0:Res:4329.0,718.0')] ).

cnf(4346,plain,
    $false,
    inference(mrr,[status(thm)],[4344,63]),
    [iquote('0:MRR:4344.0,63.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO052-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 09:51:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.97/2.17  
% 1.97/2.17  SPASS V 3.9 
% 1.97/2.17  SPASS beiseite: Proof found.
% 1.97/2.17  % SZS status Theorem
% 1.97/2.17  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.97/2.17  SPASS derived 3723 clauses, backtracked 4 clauses, performed 2 splits and kept 2222 clauses.
% 1.97/2.17  SPASS allocated 66533 KBytes.
% 1.97/2.17  SPASS spent	0:00:01.80 on the problem.
% 1.97/2.17  		0:00:00.04 for the input.
% 1.97/2.17  		0:00:00.00 for the FLOTTER CNF translation.
% 1.97/2.17  		0:00:00.05 for inferences.
% 1.97/2.17  		0:00:00.01 for the backtracking.
% 1.97/2.17  		0:00:01.66 for the reduction.
% 1.97/2.17  
% 1.97/2.17  
% 1.97/2.17  Here is a proof with depth 4, length 14 :
% 1.97/2.17  % SZS output start Refutation
% See solution above
% 1.97/2.17  Formulae used in the proof : b5 t9 v_between_u_and_x w_between_u_and_x w_not_between_v_and_x prove_v_between_w_and_x
% 1.97/2.17  
%------------------------------------------------------------------------------