%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO191+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 06:23:11 EDT 2022
% Result : Theorem 0.63s 0.80s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 50 ( 18 unt; 28 nHn; 50 RR)
% Number of literals : 116 ( 0 equ; 34 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 : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
convergent_lines(skc7,skc6),
file('GEO191+1.p',unknown),
[] ).
cnf(2,axiom,
convergent_lines(skc4,skc5),
file('GEO191+1.p',unknown),
[] ).
cnf(3,axiom,
~ distinct_points(u,u),
file('GEO191+1.p',unknown),
[] ).
cnf(5,axiom,
~ convergent_lines(u,u),
file('GEO191+1.p',unknown),
[] ).
cnf(6,axiom,
~ apart_point_and_line(intersection_point(skc4,skc5),skc7),
file('GEO191+1.p',unknown),
[] ).
cnf(7,axiom,
~ apart_point_and_line(intersection_point(skc4,skc5),skc6),
file('GEO191+1.p',unknown),
[] ).
cnf(8,axiom,
( apart_point_and_line(intersection_point(skc7,skc6),skc5)
| apart_point_and_line(intersection_point(skc7,skc6),skc4) ),
file('GEO191+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO191+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO191+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO191+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO191+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO191+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO191+1.p',unknown),
[] ).
cnf(19,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('GEO191+1.p',unknown),
[] ).
cnf(21,plain,
~ apart_point_and_line(intersection_point(skc4,skc5),skc4),
inference(res,[status(thm),theory(equality)],[2,14]),
[iquote('0:Res:2.0,14.0')] ).
cnf(22,plain,
~ apart_point_and_line(intersection_point(skc4,skc5),skc5),
inference(res,[status(thm),theory(equality)],[2,15]),
[iquote('0:Res:2.0,15.0')] ).
cnf(24,plain,
( convergent_lines(skc6,u)
| convergent_lines(skc7,u) ),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(25,plain,
~ apart_point_and_line(intersection_point(skc7,skc6),skc7),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.0')] ).
cnf(26,plain,
~ apart_point_and_line(intersection_point(skc7,skc6),skc6),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(31,plain,
( ~ apart_point_and_line(u,skc6)
| distinct_points(u,intersection_point(skc4,skc5)) ),
inference(res,[status(thm),theory(equality)],[16,7]),
[iquote('0:Res:16.2,7.0')] ).
cnf(33,plain,
( ~ distinct_points(u,intersection_point(skc4,skc5))
| ~ distinct_lines(skc6,v)
| apart_point_and_line(u,v)
| apart_point_and_line(u,skc6)
| apart_point_and_line(intersection_point(skc4,skc5),v) ),
inference(res,[status(thm),theory(equality)],[19,7]),
[iquote('0:Res:19.5,7.0')] ).
cnf(37,plain,
( ~ apart_point_and_line(u,skc7)
| distinct_points(u,intersection_point(skc4,skc5)) ),
inference(res,[status(thm),theory(equality)],[16,6]),
[iquote('0:Res:16.2,6.0')] ).
cnf(38,plain,
( ~ distinct_lines(u,skc7)
| ~ distinct_points(v,intersection_point(skc4,skc5))
| apart_point_and_line(v,u)
| apart_point_and_line(v,skc7)
| apart_point_and_line(intersection_point(skc4,skc5),u) ),
inference(res,[status(thm),theory(equality)],[19,6]),
[iquote('0:Res:19.4,6.0')] ).
cnf(48,plain,
( convergent_lines(skc7,u)
| convergent_lines(u,v)
| convergent_lines(skc6,v) ),
inference(res,[status(thm),theory(equality)],[24,11]),
[iquote('0:Res:24.0,11.0')] ).
cnf(55,plain,
( convergent_lines(skc7,u)
| convergent_lines(u,skc6) ),
inference(res,[status(thm),theory(equality)],[48,5]),
[iquote('0:Res:48.2,5.0')] ).
cnf(57,plain,
( convergent_lines(u,skc6)
| convergent_lines(u,v)
| convergent_lines(skc7,v) ),
inference(res,[status(thm),theory(equality)],[55,11]),
[iquote('0:Res:55.0,11.0')] ).
cnf(94,plain,
( convergent_lines(u,skc6)
| convergent_lines(u,skc7) ),
inference(res,[status(thm),theory(equality)],[57,5]),
[iquote('0:Res:57.2,5.0')] ).
cnf(101,plain,
( convergent_lines(u,skc7)
| distinct_lines(skc6,v)
| convergent_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[94,18]),
[iquote('0:Res:94.0,18.0')] ).
cnf(103,plain,
( ~ apart_point_and_line(u,skc6)
| distinct_points(intersection_point(skc4,skc5),v)
| distinct_points(u,v) ),
inference(res,[status(thm),theory(equality)],[31,9]),
[iquote('0:Res:31.1,9.0')] ).
cnf(104,plain,
( ~ apart_point_and_line(u,skc7)
| distinct_points(intersection_point(skc4,skc5),v)
| distinct_points(u,v) ),
inference(res,[status(thm),theory(equality)],[37,9]),
[iquote('0:Res:37.1,9.0')] ).
cnf(115,plain,
( apart_point_and_line(intersection_point(skc7,skc6),skc5)
| apart_point_and_line(u,skc4)
| distinct_points(intersection_point(skc7,skc6),u) ),
inference(res,[status(thm),theory(equality)],[8,16]),
[iquote('0:Res:8.1,16.0')] ).
cnf(153,plain,
( distinct_lines(skc6,skc7)
| convergent_lines(u,skc7) ),
inference(fac,[status(thm)],[101]),
[iquote('0:Fac:101.0,101.2')] ).
cnf(161,plain,
convergent_lines(u,skc7),
inference(spt,[spt(split,[position(s1)])],[153]),
[iquote('1:Spt:153.1')] ).
cnf(162,plain,
$false,
inference(unc,[status(thm)],[161,5]),
[iquote('1:UnC:161.0,5.0')] ).
cnf(163,plain,
distinct_lines(skc6,skc7),
inference(spt,[spt(split,[position(s2)])],[153]),
[iquote('1:Spt:162.0,153.0')] ).
cnf(222,plain,
( apart_point_and_line(u,skc4)
| distinct_points(intersection_point(skc7,skc6),u) ),
inference(spt,[spt(split,[position(s2s1)])],[115]),
[iquote('2:Spt:115.1,115.2')] ).
cnf(327,plain,
( ~ distinct_lines(skc6,u)
| apart_point_and_line(intersection_point(skc4,skc5),skc4)
| apart_point_and_line(intersection_point(skc7,skc6),u)
| apart_point_and_line(intersection_point(skc7,skc6),skc6)
| apart_point_and_line(intersection_point(skc4,skc5),u) ),
inference(res,[status(thm),theory(equality)],[222,33]),
[iquote('2:Res:222.1,33.0')] ).
cnf(328,plain,
( ~ distinct_lines(skc6,u)
| apart_point_and_line(intersection_point(skc7,skc6),u)
| apart_point_and_line(intersection_point(skc4,skc5),u) ),
inference(mrr,[status(thm)],[327,21,26]),
[iquote('2:MRR:327.1,327.3,21.0,26.0')] ).
cnf(1235,plain,
( ~ distinct_lines(skc6,skc7)
| apart_point_and_line(intersection_point(skc7,skc6),skc7)
| distinct_points(intersection_point(skc4,skc5),u)
| distinct_points(intersection_point(skc4,skc5),u) ),
inference(res,[status(thm),theory(equality)],[328,104]),
[iquote('2:Res:328.2,104.0')] ).
cnf(1246,plain,
( ~ distinct_lines(skc6,skc7)
| apart_point_and_line(intersection_point(skc7,skc6),skc7)
| distinct_points(intersection_point(skc4,skc5),u) ),
inference(obv,[status(thm),theory(equality)],[1235]),
[iquote('2:Obv:1235.2')] ).
cnf(1247,plain,
distinct_points(intersection_point(skc4,skc5),u),
inference(mrr,[status(thm)],[1246,163,25]),
[iquote('2:MRR:1246.0,1246.1,163.0,25.0')] ).
cnf(1248,plain,
$false,
inference(unc,[status(thm)],[1247,3]),
[iquote('2:UnC:1247.0,3.0')] ).
cnf(1256,plain,
apart_point_and_line(intersection_point(skc7,skc6),skc5),
inference(spt,[spt(split,[position(s2s2)])],[115]),
[iquote('2:Spt:1248.0,115.0')] ).
cnf(1258,plain,
( apart_point_and_line(u,skc5)
| distinct_points(intersection_point(skc7,skc6),u) ),
inference(res,[status(thm),theory(equality)],[1256,16]),
[iquote('2:Res:1256.0,16.0')] ).
cnf(1306,plain,
( ~ distinct_lines(u,skc7)
| apart_point_and_line(intersection_point(skc4,skc5),skc5)
| apart_point_and_line(intersection_point(skc7,skc6),u)
| apart_point_and_line(intersection_point(skc7,skc6),skc7)
| apart_point_and_line(intersection_point(skc4,skc5),u) ),
inference(res,[status(thm),theory(equality)],[1258,38]),
[iquote('2:Res:1258.1,38.1')] ).
cnf(1310,plain,
( ~ distinct_lines(u,skc7)
| apart_point_and_line(intersection_point(skc7,skc6),u)
| apart_point_and_line(intersection_point(skc4,skc5),u) ),
inference(mrr,[status(thm)],[1306,22,25]),
[iquote('2:MRR:1306.1,1306.3,22.0,25.0')] ).
cnf(2019,plain,
( ~ distinct_lines(skc6,skc7)
| apart_point_and_line(intersection_point(skc7,skc6),skc6)
| distinct_points(intersection_point(skc4,skc5),u)
| distinct_points(intersection_point(skc4,skc5),u) ),
inference(res,[status(thm),theory(equality)],[1310,103]),
[iquote('2:Res:1310.2,103.0')] ).
cnf(2028,plain,
( ~ distinct_lines(skc6,skc7)
| apart_point_and_line(intersection_point(skc7,skc6),skc6)
| distinct_points(intersection_point(skc4,skc5),u) ),
inference(obv,[status(thm),theory(equality)],[2019]),
[iquote('2:Obv:2019.2')] ).
cnf(2029,plain,
distinct_points(intersection_point(skc4,skc5),u),
inference(mrr,[status(thm)],[2028,163,26]),
[iquote('2:MRR:2028.0,2028.1,163.0,26.0')] ).
cnf(2030,plain,
$false,
inference(unc,[status(thm)],[2029,3]),
[iquote('2:UnC:2029.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO191+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 15:06:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.63/0.80
% 0.63/0.80 SPASS V 3.9
% 0.63/0.80 SPASS beiseite: Proof found.
% 0.63/0.80 % SZS status Theorem
% 0.63/0.80 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.80 SPASS derived 1857 clauses, backtracked 14 clauses, performed 4 splits and kept 945 clauses.
% 0.63/0.80 SPASS allocated 86122 KBytes.
% 0.63/0.80 SPASS spent 0:00:00.46 on the problem.
% 0.63/0.80 0:00:00.03 for the input.
% 0.63/0.80 0:00:00.03 for the FLOTTER CNF translation.
% 0.63/0.80 0:00:00.03 for inferences.
% 0.63/0.80 0:00:00.00 for the backtracking.
% 0.63/0.80 0:00:00.34 for the reduction.
% 0.63/0.80
% 0.63/0.80
% 0.63/0.80 Here is a proof with depth 8, length 50 :
% 0.63/0.80 % SZS output start Refutation
% See solution above
% 0.63/0.80 Formulae used in the proof : con apart1 apart3 apart4 ax6 ci3 ci4 ceq1 ceq3 cu1
% 0.63/0.80
%------------------------------------------------------------------------------