%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO118-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n006.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 06:22:29 EDT 2022

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   5 unt;   0 nHn;  10 RR)
%            Number of literals    :   16 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ordered_by(sk25,sk26,sk27),
    file('GEO118-1.p',unknown),
    [] ).

cnf(2,axiom,
    ordered_by(sk25,sk27,sk26),
    file('GEO118-1.p',unknown),
    [] ).

cnf(51,axiom,
    ( ~ equal(u,v)
    | ~ between_c(w,u,x,v) ),
    file('GEO118-1.p',unknown),
    [] ).

cnf(62,axiom,
    ( ~ ordered_by(u,v,w)
    | ~ ordered_by(u,x,v)
    | between_o(u,w,v,x) ),
    file('GEO118-1.p',unknown),
    [] ).

cnf(80,axiom,
    ( ~ between_o(u,v,w,x)
    | between_c(ax2_sk4(u,x,w,v),v,w,x) ),
    file('GEO118-1.p',unknown),
    [] ).

cnf(106,plain,
    ( ~ ordered_by(sk25,u,sk27)
    | between_o(sk25,sk26,sk27,u) ),
    inference(res,[status(thm),theory(equality)],[2,62]),
    [iquote('0:Res:2.0,62.1')] ).

cnf(115,plain,
    between_o(sk25,sk26,sk27,sk26),
    inference(res,[status(thm),theory(equality)],[1,106]),
    [iquote('0:Res:1.0,106.0')] ).

cnf(1352,plain,
    ( ~ between_o(u,v,w,x)
    | ~ equal(v,x) ),
    inference(res,[status(thm),theory(equality)],[80,51]),
    [iquote('0:Res:80.1,51.1')] ).

cnf(1481,plain,
    ~ equal(sk26,sk26),
    inference(res,[status(thm),theory(equality)],[115,1352]),
    [iquote('0:Res:115.0,1352.0')] ).

cnf(1489,plain,
    $false,
    inference(obv,[status(thm),theory(equality)],[1481]),
    [iquote('0:Obv:1481.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO118-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n006.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 : Fri Jun 17 18:23:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.57  
% 0.19/0.57  SPASS V 3.9 
% 0.19/0.57  SPASS beiseite: Proof found.
% 0.19/0.57  % SZS status Theorem
% 0.19/0.57  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.57  SPASS derived 1229 clauses, backtracked 0 clauses, performed 1 splits and kept 520 clauses.
% 0.19/0.57  SPASS allocated 76768 KBytes.
% 0.19/0.57  SPASS spent	0:00:00.21 on the problem.
% 0.19/0.57  		0:00:00.04 for the input.
% 0.19/0.57  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.57  		0:00:00.02 for inferences.
% 0.19/0.57  		0:00:00.00 for the backtracking.
% 0.19/0.57  		0:00:00.12 for the reduction.
% 0.19/0.57  
% 0.19/0.57  
% 0.19/0.57  Here is a proof with depth 3, length 10 :
% 0.19/0.57  % SZS output start Refutation
% See solution above
% 0.19/0.57  Formulae used in the proof : theorem_4_5_133 theorem_4_5_134 between_c_defn_1 between_o_defn_6 o3_24
% 0.19/0.57  
%------------------------------------------------------------------------------