%------------------------------------------------------------------------------
% 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 : n009.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   : Theorem 0.21s 0.48s
% 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(skc3,skc4),
    file('GEO087+1.p',unknown),
    [] ).

cnf(2,axiom,
    meet(skc5,skc3,skc4),
    file('GEO087+1.p',unknown),
    [] ).

cnf(3,axiom,
    inner_point(skf19(u),u),
    file('GEO087+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ inner_point(u,v)
    | incident_c(u,v) ),
    file('GEO087+1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ inner_point(u,v)
    | ~ end_point(u,v) ),
    file('GEO087+1.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ incident_c(u,v)
    | ~ part_of(v,w)
    | incident_c(u,w) ),
    file('GEO087+1.p',unknown),
    [] ).

cnf(34,axiom,
    ( ~ incident_c(u,v)
    | ~ incident_c(u,w)
    | ~ meet(x,w,v)
    | end_point(u,w) ),
    file('GEO087+1.p',unknown),
    [] ).

cnf(47,plain,
    ( ~ incident_c(u,skc3)
    | incident_c(u,skc4) ),
    inference(res,[status(thm),theory(equality)],[1,24]),
    [iquote('0:Res:1.0,24.0')] ).

cnf(55,plain,
    ( ~ incident_c(u,skc3)
    | ~ incident_c(u,skc4)
    | end_point(u,skc3) ),
    inference(res,[status(thm),theory(equality)],[2,34]),
    [iquote('0:Res:2.0,34.2')] ).

cnf(57,plain,
    ( ~ incident_c(u,skc3)
    | end_point(u,skc3) ),
    inference(mrr,[status(thm)],[55,47]),
    [iquote('0:MRR:55.1,47.1')] ).

cnf(87,plain,
    incident_c(skf19(u),u),
    inference(res,[status(thm),theory(equality)],[3,11]),
    [iquote('0:Res:3.0,11.0')] ).

cnf(91,plain,
    ~ end_point(skf19(u),u),
    inference(res,[status(thm),theory(equality)],[3,14]),
    [iquote('0:Res:3.0,14.0')] ).

cnf(93,plain,
    ~ incident_c(skf19(skc3),skc3),
    inference(res,[status(thm),theory(equality)],[57,91]),
    [iquote('0:Res:57.1,91.0')] ).

cnf(94,plain,
    $false,
    inference(mrr,[status(thm)],[93,87]),
    [iquote('0:MRR:93.0,87.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO087+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun 17 17:09:37 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  
% 0.21/0.48  SPASS V 3.9 
% 0.21/0.48  SPASS beiseite: Proof found.
% 0.21/0.48  % SZS status Theorem
% 0.21/0.48  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.48  SPASS derived 42 clauses, backtracked 0 clauses, performed 2 splits and kept 70 clauses.
% 0.21/0.48  SPASS allocated 98035 KBytes.
% 0.21/0.48  SPASS spent	0:00:00.12 on the problem.
% 0.21/0.48  		0:00:00.03 for the input.
% 0.21/0.48  		0:00:00.06 for the FLOTTER CNF translation.
% 0.21/0.48  		0:00:00.00 for inferences.
% 0.21/0.48  		0:00:00.00 for the backtracking.
% 0.21/0.48  		0:00:00.01 for the reduction.
% 0.21/0.48  
% 0.21/0.48  
% 0.21/0.48  Here is a proof with depth 2, length 14 :
% 0.21/0.48  % SZS output start Refutation
% See solution above
% 0.21/0.48  Formulae used in the proof : corollary_2_9 c3 inner_point_defn part_of_defn meet_defn
% 0.21/0.48  
%------------------------------------------------------------------------------