TSTP Solution File: GEO203+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO203+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 06:23:21 EDT 2022
% Result : Theorem 0.47s 0.68s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 12 unt; 9 nHn; 28 RR)
% Number of literals : 59 ( 0 equ; 18 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
convergent_lines(skc3,skc5),
file('GEO203+2.p',unknown),
[] ).
cnf(2,axiom,
convergent_lines(skc3,skc4),
file('GEO203+2.p',unknown),
[] ).
cnf(3,axiom,
~ distinct_points(u,u),
file('GEO203+2.p',unknown),
[] ).
cnf(6,axiom,
distinct_points(intersection_point(skc3,skc5),intersection_point(skc3,skc4)),
file('GEO203+2.p',unknown),
[] ).
cnf(8,axiom,
distinct_lines(line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4)),skc3),
file('GEO203+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO203+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,u) ),
file('GEO203+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,v) ),
file('GEO203+2.p',unknown),
[] ).
cnf(16,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,u)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO203+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ distinct_lines(u,v)
| ~ distinct_points(w,x)
| apart_point_and_line(x,u)
| apart_point_and_line(x,v)
| apart_point_and_line(w,v)
| apart_point_and_line(w,u) ),
file('GEO203+2.p',unknown),
[] ).
cnf(21,plain,
( ~ apart_point_and_line(u,skc3)
| distinct_points(u,intersection_point(skc3,skc4)) ),
inference(res,[status(thm),theory(equality)],[2,16]),
[iquote('0:Res:2.0,16.1')] ).
cnf(25,plain,
( ~ apart_point_and_line(u,skc3)
| distinct_points(u,intersection_point(skc3,skc5)) ),
inference(res,[status(thm),theory(equality)],[1,16]),
[iquote('0:Res:1.0,16.1')] ).
cnf(27,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(intersection_point(skc3,skc4),u)
| apart_point_and_line(intersection_point(skc3,skc4),v)
| apart_point_and_line(intersection_point(skc3,skc5),v)
| apart_point_and_line(intersection_point(skc3,skc5),u) ),
inference(res,[status(thm),theory(equality)],[6,18]),
[iquote('0:Res:6.0,18.0')] ).
cnf(28,plain,
( distinct_points(intersection_point(skc3,skc4),u)
| distinct_points(intersection_point(skc3,skc5),u) ),
inference(res,[status(thm),theory(equality)],[6,9]),
[iquote('0:Res:6.0,9.0')] ).
cnf(34,plain,
( apart_point_and_line(intersection_point(skc3,skc4),skc3)
| apart_point_and_line(intersection_point(skc3,skc5),skc3)
| apart_point_and_line(intersection_point(skc3,skc4),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4)))
| apart_point_and_line(intersection_point(skc3,skc5),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4))) ),
inference(res,[status(thm),theory(equality)],[8,27]),
[iquote('0:Res:8.0,27.0')] ).
cnf(45,plain,
~ apart_point_and_line(intersection_point(skc3,skc5),skc3),
inference(res,[status(thm),theory(equality)],[25,3]),
[iquote('0:Res:25.1,3.0')] ).
cnf(46,plain,
( apart_point_and_line(intersection_point(skc3,skc4),skc3)
| apart_point_and_line(intersection_point(skc3,skc4),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4)))
| apart_point_and_line(intersection_point(skc3,skc5),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4))) ),
inference(mrr,[status(thm)],[34,45]),
[iquote('0:MRR:34.1,45.0')] ).
cnf(62,plain,
~ apart_point_and_line(intersection_point(skc3,skc4),skc3),
inference(res,[status(thm),theory(equality)],[21,3]),
[iquote('0:Res:21.1,3.0')] ).
cnf(64,plain,
( apart_point_and_line(intersection_point(skc3,skc4),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4)))
| apart_point_and_line(intersection_point(skc3,skc5),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4))) ),
inference(mrr,[status(thm)],[46,62]),
[iquote('0:MRR:46.0,62.0')] ).
cnf(288,plain,
( distinct_points(intersection_point(skc3,skc5),u)
| distinct_points(u,v)
| distinct_points(intersection_point(skc3,skc4),v) ),
inference(res,[status(thm),theory(equality)],[28,9]),
[iquote('0:Res:28.0,9.0')] ).
cnf(802,plain,
( distinct_points(intersection_point(skc3,skc5),u)
| distinct_points(u,intersection_point(skc3,skc4)) ),
inference(res,[status(thm),theory(equality)],[288,3]),
[iquote('0:Res:288.2,3.0')] ).
cnf(1423,plain,
apart_point_and_line(intersection_point(skc3,skc4),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4))),
inference(spt,[spt(split,[position(s1)])],[64]),
[iquote('1:Spt:64.0')] ).
cnf(1429,plain,
( ~ distinct_points(intersection_point(skc3,skc5),intersection_point(skc3,skc4))
| distinct_points(intersection_point(skc3,skc4),intersection_point(skc3,skc4)) ),
inference(res,[status(thm),theory(equality)],[1423,15]),
[iquote('1:Res:1423.0,15.1')] ).
cnf(1431,plain,
$false,
inference(mrr,[status(thm)],[1429,802,3]),
[iquote('1:MRR:1429.0,1429.1,802.0,3.0')] ).
cnf(1432,plain,
~ apart_point_and_line(intersection_point(skc3,skc4),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4))),
inference(spt,[spt(split,[position(sa)])],[1431,1423]),
[iquote('1:Spt:1431.0,64.0,1423.0')] ).
cnf(1433,plain,
apart_point_and_line(intersection_point(skc3,skc5),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4))),
inference(spt,[spt(split,[position(s2)])],[64]),
[iquote('1:Spt:1431.0,64.1')] ).
cnf(1448,plain,
( ~ distinct_points(intersection_point(skc3,skc5),intersection_point(skc3,skc4))
| distinct_points(intersection_point(skc3,skc5),intersection_point(skc3,skc5)) ),
inference(res,[status(thm),theory(equality)],[1433,14]),
[iquote('1:Res:1433.0,14.1')] ).
cnf(1450,plain,
$false,
inference(mrr,[status(thm)],[1448,802,3]),
[iquote('1:MRR:1448.0,1448.1,802.1,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO203+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n013.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 15:28:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.47/0.68
% 0.47/0.68 SPASS V 3.9
% 0.47/0.68 SPASS beiseite: Proof found.
% 0.47/0.68 % SZS status Theorem
% 0.47/0.68 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.68 SPASS derived 1269 clauses, backtracked 13 clauses, performed 1 splits and kept 686 clauses.
% 0.47/0.68 SPASS allocated 85890 KBytes.
% 0.47/0.68 SPASS spent 0:00:00.32 on the problem.
% 0.47/0.68 0:00:00.04 for the input.
% 0.47/0.68 0:00:00.03 for the FLOTTER CNF translation.
% 0.47/0.68 0:00:00.02 for inferences.
% 0.47/0.68 0:00:00.00 for the backtracking.
% 0.47/0.68 0:00:00.21 for the reduction.
% 0.47/0.68
% 0.47/0.68
% 0.47/0.68 Here is a proof with depth 4, length 28 :
% 0.47/0.68 % SZS output start Refutation
% See solution above
% 0.47/0.68 Formulae used in the proof : con apart1 apart4 con1 con2 cu1
% 0.47/0.68
%------------------------------------------------------------------------------