TSTP Solution File: GEO205+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO205+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 06:23:23 EDT 2022
% Result : Theorem 0.41s 0.56s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 49 ( 22 unt; 22 nHn; 49 RR)
% Number of literals : 98 ( 0 equ; 21 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
convergent_lines(skc5,skc3),
file('GEO205+1.p',unknown),
[] ).
cnf(2,axiom,
~ distinct_lines(skc3,skc4),
file('GEO205+1.p',unknown),
[] ).
cnf(3,axiom,
~ distinct_points(u,u),
file('GEO205+1.p',unknown),
[] ).
cnf(5,axiom,
~ convergent_lines(u,u),
file('GEO205+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO205+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO205+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO205+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO205+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO205+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO205+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ convergent_lines(skc5,skc4)
| distinct_points(intersection_point(skc5,skc3),intersection_point(skc5,skc4)) ),
file('GEO205+1.p',unknown),
[] ).
cnf(17,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('GEO205+1.p',unknown),
[] ).
cnf(18,plain,
( convergent_lines(skc3,u)
| convergent_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(19,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc5),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(20,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc3),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(21,plain,
( distinct_lines(skc3,u)
| convergent_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(24,plain,
( ~ apart_point_and_line(u,skc3)
| apart_point_and_line(u,skc4) ),
inference(res,[status(thm),theory(equality)],[14,2]),
[iquote('0:Res:14.2,2.0')] ).
cnf(25,plain,
( ~ convergent_lines(u,skc3)
| convergent_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[15,2]),
[iquote('0:Res:15.2,2.0')] ).
cnf(26,plain,
convergent_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[1,25]),
[iquote('0:Res:1.0,25.0')] ).
cnf(30,plain,
distinct_points(intersection_point(skc5,skc3),intersection_point(skc5,skc4)),
inference(mrr,[status(thm)],[16,26]),
[iquote('0:MRR:16.0,26.0')] ).
cnf(41,plain,
( distinct_points(intersection_point(skc5,skc4),u)
| distinct_points(intersection_point(skc5,skc3),u) ),
inference(res,[status(thm),theory(equality)],[30,6]),
[iquote('0:Res:30.0,6.0')] ).
cnf(42,plain,
distinct_points(intersection_point(skc5,skc4),intersection_point(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[41,3]),
[iquote('0:Res:41.1,3.0')] ).
cnf(94,plain,
( convergent_lines(skc5,u)
| convergent_lines(u,v)
| convergent_lines(skc3,v) ),
inference(res,[status(thm),theory(equality)],[18,8]),
[iquote('0:Res:18.0,8.0')] ).
cnf(106,plain,
( convergent_lines(skc5,u)
| convergent_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[94,5]),
[iquote('0:Res:94.2,5.0')] ).
cnf(111,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,v)
| convergent_lines(skc5,v) ),
inference(res,[status(thm),theory(equality)],[106,8]),
[iquote('0:Res:106.0,8.0')] ).
cnf(135,plain,
( ~ distinct_points(u,v)
| convergent_lines(skc5,w)
| apart_point_and_line(v,skc3)
| apart_point_and_line(v,w)
| apart_point_and_line(u,w)
| apart_point_and_line(u,skc3) ),
inference(res,[status(thm),theory(equality)],[21,17]),
[iquote('0:Res:21.0,17.0')] ).
cnf(160,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,skc5) ),
inference(res,[status(thm),theory(equality)],[111,5]),
[iquote('0:Res:111.2,5.0')] ).
cnf(170,plain,
( convergent_lines(u,skc5)
| distinct_lines(skc3,v)
| convergent_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[160,15]),
[iquote('0:Res:160.0,15.0')] ).
cnf(171,plain,
( convergent_lines(u,skc5)
| convergent_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[160,25]),
[iquote('0:Res:160.0,25.0')] ).
cnf(183,plain,
( convergent_lines(u,skc5)
| distinct_lines(skc4,v)
| convergent_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[171,15]),
[iquote('0:Res:171.1,15.0')] ).
cnf(195,plain,
( convergent_lines(skc5,u)
| apart_point_and_line(intersection_point(skc5,skc3),skc3)
| apart_point_and_line(intersection_point(skc5,skc3),u)
| apart_point_and_line(intersection_point(skc5,skc4),u)
| apart_point_and_line(intersection_point(skc5,skc4),skc3) ),
inference(res,[status(thm),theory(equality)],[42,135]),
[iquote('0:Res:42.0,135.0')] ).
cnf(199,plain,
( convergent_lines(skc5,u)
| apart_point_and_line(intersection_point(skc5,skc3),u)
| apart_point_and_line(intersection_point(skc5,skc4),u)
| apart_point_and_line(intersection_point(skc5,skc4),skc3) ),
inference(mrr,[status(thm)],[195,20]),
[iquote('0:MRR:195.1,20.0')] ).
cnf(346,plain,
( distinct_lines(skc3,skc5)
| convergent_lines(u,skc5) ),
inference(fac,[status(thm)],[170]),
[iquote('0:Fac:170.0,170.2')] ).
cnf(359,plain,
convergent_lines(u,skc5),
inference(spt,[spt(split,[position(s1)])],[346]),
[iquote('1:Spt:346.1')] ).
cnf(360,plain,
$false,
inference(unc,[status(thm)],[359,5]),
[iquote('1:UnC:359.0,5.0')] ).
cnf(361,plain,
distinct_lines(skc3,skc5),
inference(spt,[spt(split,[position(s2)])],[346]),
[iquote('1:Spt:360.0,346.0')] ).
cnf(410,plain,
( distinct_lines(skc4,skc5)
| convergent_lines(u,skc5) ),
inference(fac,[status(thm)],[183]),
[iquote('0:Fac:183.0,183.2')] ).
cnf(421,plain,
convergent_lines(u,skc5),
inference(spt,[spt(split,[position(s2s1)])],[410]),
[iquote('2:Spt:410.1')] ).
cnf(422,plain,
$false,
inference(unc,[status(thm)],[421,5]),
[iquote('2:UnC:421.0,5.0')] ).
cnf(423,plain,
distinct_lines(skc4,skc5),
inference(spt,[spt(split,[position(s2s2)])],[410]),
[iquote('2:Spt:422.0,410.0')] ).
cnf(963,plain,
( convergent_lines(skc5,u)
| apart_point_and_line(intersection_point(skc5,skc3),u)
| apart_point_and_line(intersection_point(skc5,skc4),u) ),
inference(spt,[spt(split,[position(s2s2s1)])],[199]),
[iquote('3:Spt:199.0,199.1,199.2')] ).
cnf(965,plain,
( convergent_lines(skc5,skc5)
| apart_point_and_line(intersection_point(skc5,skc4),skc5) ),
inference(res,[status(thm),theory(equality)],[963,19]),
[iquote('3:Res:963.1,19.0')] ).
cnf(973,plain,
apart_point_and_line(intersection_point(skc5,skc4),skc5),
inference(mrr,[status(thm)],[965,5]),
[iquote('3:MRR:965.0,5.0')] ).
cnf(974,plain,
~ convergent_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[973,11]),
[iquote('3:Res:973.0,11.1')] ).
cnf(977,plain,
$false,
inference(mrr,[status(thm)],[974,26]),
[iquote('3:MRR:974.0,26.0')] ).
cnf(978,plain,
apart_point_and_line(intersection_point(skc5,skc4),skc3),
inference(spt,[spt(split,[position(s2s2s2)])],[199]),
[iquote('3:Spt:977.0,199.3')] ).
cnf(979,plain,
apart_point_and_line(intersection_point(skc5,skc4),skc4),
inference(res,[status(thm),theory(equality)],[978,24]),
[iquote('3:Res:978.0,24.0')] ).
cnf(982,plain,
~ convergent_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[979,12]),
[iquote('3:Res:979.0,12.1')] ).
cnf(985,plain,
$false,
inference(mrr,[status(thm)],[982,26]),
[iquote('3:MRR:982.0,26.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO205+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 16:21:23 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.41/0.56
% 0.41/0.56 SPASS V 3.9
% 0.41/0.56 SPASS beiseite: Proof found.
% 0.41/0.56 % SZS status Theorem
% 0.41/0.56 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.56 SPASS derived 903 clauses, backtracked 3 clauses, performed 3 splits and kept 382 clauses.
% 0.41/0.56 SPASS allocated 85549 KBytes.
% 0.41/0.56 SPASS spent 0:00:00.19 on the problem.
% 0.41/0.56 0:00:00.03 for the input.
% 0.41/0.56 0:00:00.03 for the FLOTTER CNF translation.
% 0.41/0.56 0:00:00.01 for inferences.
% 0.41/0.56 0:00:00.00 for the backtracking.
% 0.41/0.56 0:00:00.09 for the reduction.
% 0.41/0.56
% 0.41/0.56
% 0.41/0.56 Here is a proof with depth 9, length 49 :
% 0.41/0.56 % SZS output start Refutation
% See solution above
% 0.41/0.56 Formulae used in the proof : con apart1 apart3 apart4 ax6 ci3 ci4 ceq2 ceq3 cu1
% 0.41/0.56
%------------------------------------------------------------------------------