%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO087-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n029.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 06:22:13 EDT 2022

% Result   : Unsatisfiable 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   7 unt;   0 nHn;  14 RR)
%            Number of literals    :   25 (   0 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    part_of(sk14,sk15),
    file('GEO087-1.p',unknown),
    [] ).

cnf(2,axiom,
    meet(sk16,sk14,sk15),
    file('GEO087-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ incident_c(u,v)
    | ~ part_of(v,w)
    | incident_c(u,w) ),
    file('GEO087-1.p',unknown),
    [] ).

cnf(23,axiom,
    ( ~ inner_point(u,v)
    | incident_c(u,v) ),
    file('GEO087-1.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ end_point(u,v)
    | ~ inner_point(u,v) ),
    file('GEO087-1.p',unknown),
    [] ).

cnf(28,axiom,
    ( ~ incident_c(u,v)
    | ~ incident_c(u,w)
    | ~ meet(x,w,v)
    | end_point(u,w) ),
    file('GEO087-1.p',unknown),
    [] ).

cnf(39,axiom,
    inner_point(ax0_sk8(u),u),
    file('GEO087-1.p',unknown),
    [] ).

cnf(52,plain,
    ( ~ incident_c(u,sk14)
    | incident_c(u,sk15) ),
    inference(res,[status(thm),theory(equality)],[1,3]),
    [iquote('0:Res:1.0,3.0')] ).

cnf(58,plain,
    ( ~ incident_c(u,sk14)
    | ~ incident_c(u,sk15)
    | end_point(u,sk14) ),
    inference(res,[status(thm),theory(equality)],[2,28]),
    [iquote('0:Res:2.0,28.0')] ).

cnf(64,plain,
    ( ~ incident_c(u,sk14)
    | end_point(u,sk14) ),
    inference(mrr,[status(thm)],[58,52]),
    [iquote('0:MRR:58.1,52.1')] ).

cnf(94,plain,
    incident_c(ax0_sk8(u),u),
    inference(res,[status(thm),theory(equality)],[39,23]),
    [iquote('0:Res:39.0,23.0')] ).

cnf(98,plain,
    ~ end_point(ax0_sk8(u),u),
    inference(res,[status(thm),theory(equality)],[39,24]),
    [iquote('0:Res:39.0,24.1')] ).

cnf(99,plain,
    ~ incident_c(ax0_sk8(sk14),sk14),
    inference(res,[status(thm),theory(equality)],[64,98]),
    [iquote('0:Res:64.1,98.0')] ).

cnf(100,plain,
    $false,
    inference(mrr,[status(thm)],[99,94]),
    [iquote('0:MRR:99.0,94.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : GEO087-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.14  % Command  : run_spass %d %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 07:33:44 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.44  
% 0.21/0.44  SPASS V 3.9 
% 0.21/0.44  SPASS beiseite: Proof found.
% 0.21/0.44  % SZS status Theorem
% 0.21/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.44  SPASS derived 42 clauses, backtracked 0 clauses, performed 2 splits and kept 73 clauses.
% 0.21/0.44  SPASS allocated 75687 KBytes.
% 0.21/0.44  SPASS spent	0:00:00.07 on the problem.
% 0.21/0.44  		0:00:00.04 for the input.
% 0.21/0.44  		0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.44  		0:00:00.00 for inferences.
% 0.21/0.44  		0:00:00.00 for the backtracking.
% 0.21/0.44  		0:00:00.01 for the reduction.
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  Here is a proof with depth 2, length 14 :
% 0.21/0.44  % SZS output start Refutation
% See solution above
% 0.21/0.44  Formulae used in the proof : corollary_2_9_67 corollary_2_9_68 part_of_defn_1 inner_point_defn_21 inner_point_defn_22 meet_defn_26 c3_37
% 0.21/0.44  
%------------------------------------------------------------------------------