%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO199+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 06:23:17 EDT 2022
% Result : Theorem 0.94s 1.18s
% Output : Refutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 56 ( 22 unt; 31 nHn; 56 RR)
% Number of literals : 121 ( 0 equ; 19 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('GEO199+1.p',unknown),
[] ).
cnf(3,axiom,
convergent_lines(skc4,skc3),
file('GEO199+1.p',unknown),
[] ).
cnf(5,axiom,
~ distinct_lines(u,u),
file('GEO199+1.p',unknown),
[] ).
cnf(6,axiom,
~ convergent_lines(u,u),
file('GEO199+1.p',unknown),
[] ).
cnf(7,axiom,
apart_point_and_line(intersection_point(skc3,skc5),skc4),
file('GEO199+1.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(intersection_point(skc5,skc3),skc4),
file('GEO199+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO199+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO199+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO199+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO199+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO199+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO199+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('GEO199+1.p',unknown),
[] ).
cnf(20,plain,
( convergent_lines(skc3,u)
| convergent_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[3,11]),
[iquote('0:Res:3.0,11.0')] ).
cnf(28,plain,
( convergent_lines(skc3,u)
| convergent_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(29,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc5),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.0')] ).
cnf(30,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc3),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(31,plain,
( distinct_lines(skc3,u)
| convergent_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,18]),
[iquote('0:Res:1.0,18.0')] ).
cnf(32,plain,
( apart_point_and_line(u,skc4)
| distinct_points(intersection_point(skc3,skc5),u) ),
inference(res,[status(thm),theory(equality)],[7,16]),
[iquote('0:Res:7.0,16.0')] ).
cnf(33,plain,
( distinct_lines(skc4,u)
| apart_point_and_line(intersection_point(skc3,skc5),u) ),
inference(res,[status(thm),theory(equality)],[7,17]),
[iquote('0:Res:7.0,17.0')] ).
cnf(35,plain,
( ~ apart_point_and_line(intersection_point(skc5,skc3),u)
| distinct_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[17,8]),
[iquote('0:Res:17.1,8.0')] ).
cnf(55,plain,
( distinct_lines(skc4,u)
| apart_point_and_line(v,u)
| distinct_points(intersection_point(skc3,skc5),v) ),
inference(res,[status(thm),theory(equality)],[33,16]),
[iquote('0:Res:33.1,16.0')] ).
cnf(90,plain,
( convergent_lines(skc4,u)
| convergent_lines(u,v)
| convergent_lines(skc3,v) ),
inference(res,[status(thm),theory(equality)],[20,11]),
[iquote('0:Res:20.0,11.0')] ).
cnf(91,plain,
( convergent_lines(skc5,u)
| convergent_lines(u,v)
| convergent_lines(skc3,v) ),
inference(res,[status(thm),theory(equality)],[28,11]),
[iquote('0:Res:28.0,11.0')] ).
cnf(122,plain,
( convergent_lines(skc4,u)
| convergent_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[90,6]),
[iquote('0:Res:90.2,6.0')] ).
cnf(125,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,v)
| convergent_lines(skc4,v) ),
inference(res,[status(thm),theory(equality)],[122,11]),
[iquote('0:Res:122.0,11.0')] ).
cnf(131,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)],[31,19]),
[iquote('0:Res:31.0,19.0')] ).
cnf(153,plain,
( convergent_lines(skc5,u)
| convergent_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[91,6]),
[iquote('0:Res:91.2,6.0')] ).
cnf(156,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,v)
| convergent_lines(skc5,v) ),
inference(res,[status(thm),theory(equality)],[153,11]),
[iquote('0:Res:153.0,11.0')] ).
cnf(206,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[125,6]),
[iquote('0:Res:125.2,6.0')] ).
cnf(214,plain,
( convergent_lines(u,skc4)
| distinct_lines(skc3,v)
| convergent_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[206,18]),
[iquote('0:Res:206.0,18.0')] ).
cnf(252,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,skc5) ),
inference(res,[status(thm),theory(equality)],[156,6]),
[iquote('0:Res:156.2,6.0')] ).
cnf(258,plain,
convergent_lines(skc3,skc5),
inference(res,[status(thm),theory(equality)],[252,6]),
[iquote('0:Res:252.0,6.0')] ).
cnf(260,plain,
( convergent_lines(u,skc5)
| distinct_lines(skc3,v)
| convergent_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[252,18]),
[iquote('0:Res:252.0,18.0')] ).
cnf(331,plain,
( distinct_lines(skc4,u)
| distinct_points(intersection_point(skc3,skc5),intersection_point(skc5,skc3))
| distinct_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[55,35]),
[iquote('0:Res:55.1,35.0')] ).
cnf(397,plain,
( distinct_lines(skc3,skc4)
| convergent_lines(u,skc4) ),
inference(fac,[status(thm)],[214]),
[iquote('0:Fac:214.0,214.2')] ).
cnf(409,plain,
convergent_lines(u,skc4),
inference(spt,[spt(split,[position(s1)])],[397]),
[iquote('1:Spt:397.1')] ).
cnf(410,plain,
$false,
inference(unc,[status(thm)],[409,6]),
[iquote('1:UnC:409.0,6.0')] ).
cnf(411,plain,
distinct_lines(skc3,skc4),
inference(spt,[spt(split,[position(s2)])],[397]),
[iquote('1:Spt:410.0,397.0')] ).
cnf(464,plain,
( distinct_lines(skc3,skc5)
| convergent_lines(u,skc5) ),
inference(fac,[status(thm)],[260]),
[iquote('0:Fac:260.0,260.2')] ).
cnf(473,plain,
convergent_lines(u,skc5),
inference(spt,[spt(split,[position(s2s1)])],[464]),
[iquote('2:Spt:464.1')] ).
cnf(474,plain,
$false,
inference(unc,[status(thm)],[473,6]),
[iquote('2:UnC:473.0,6.0')] ).
cnf(475,plain,
distinct_lines(skc3,skc5),
inference(spt,[spt(split,[position(s2s2)])],[464]),
[iquote('2:Spt:474.0,464.0')] ).
cnf(515,plain,
( apart_point_and_line(u,skc4)
| convergent_lines(skc5,v)
| apart_point_and_line(u,skc3)
| apart_point_and_line(u,v)
| apart_point_and_line(intersection_point(skc3,skc5),v)
| apart_point_and_line(intersection_point(skc3,skc5),skc3) ),
inference(res,[status(thm),theory(equality)],[32,131]),
[iquote('0:Res:32.1,131.0')] ).
cnf(1197,plain,
( distinct_lines(skc4,u)
| distinct_lines(u,skc4) ),
inference(spt,[spt(split,[position(s2s2s1)])],[331]),
[iquote('3:Spt:331.0,331.2')] ).
cnf(1198,plain,
distinct_lines(skc4,skc4),
inference(fac,[status(thm)],[1197]),
[iquote('3:Fac:1197.0,1197.1')] ).
cnf(1203,plain,
$false,
inference(mrr,[status(thm)],[1198,5]),
[iquote('3:MRR:1198.0,5.0')] ).
cnf(1206,plain,
distinct_points(intersection_point(skc3,skc5),intersection_point(skc5,skc3)),
inference(spt,[spt(split,[position(s2s2s2)])],[331]),
[iquote('3:Spt:1203.0,331.1')] ).
cnf(2658,plain,
( apart_point_and_line(u,skc4)
| convergent_lines(skc5,v)
| apart_point_and_line(u,skc3)
| apart_point_and_line(u,v)
| apart_point_and_line(intersection_point(skc3,skc5),v) ),
inference(spt,[spt(split,[position(s2s2s2s1)])],[515]),
[iquote('4:Spt:515.0,515.1,515.2,515.3,515.4')] ).
cnf(2672,plain,
( ~ convergent_lines(skc3,skc5)
| apart_point_and_line(u,skc4)
| convergent_lines(skc5,skc5)
| apart_point_and_line(u,skc3)
| apart_point_and_line(u,skc5) ),
inference(res,[status(thm),theory(equality)],[2658,15]),
[iquote('4:Res:2658.4,15.1')] ).
cnf(2681,plain,
( apart_point_and_line(u,skc4)
| apart_point_and_line(u,skc3)
| apart_point_and_line(u,skc5) ),
inference(mrr,[status(thm)],[2672,258,6]),
[iquote('4:MRR:2672.0,2672.2,258.0,6.0')] ).
cnf(2687,plain,
( apart_point_and_line(intersection_point(skc5,skc3),skc4)
| apart_point_and_line(intersection_point(skc5,skc3),skc5) ),
inference(res,[status(thm),theory(equality)],[2681,30]),
[iquote('4:Res:2681.1,30.0')] ).
cnf(2694,plain,
$false,
inference(mrr,[status(thm)],[2687,8,29]),
[iquote('4:MRR:2687.0,2687.1,8.0,29.0')] ).
cnf(2696,plain,
apart_point_and_line(intersection_point(skc3,skc5),skc3),
inference(spt,[spt(split,[position(s2s2s2s2)])],[515]),
[iquote('4:Spt:2694.0,515.5')] ).
cnf(2697,plain,
~ convergent_lines(skc3,skc5),
inference(res,[status(thm),theory(equality)],[2696,14]),
[iquote('4:Res:2696.0,14.1')] ).
cnf(2700,plain,
$false,
inference(mrr,[status(thm)],[2697,258]),
[iquote('4:MRR:2697.0,258.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO199+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 01:31:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.94/1.18
% 0.94/1.18 SPASS V 3.9
% 0.94/1.18 SPASS beiseite: Proof found.
% 0.94/1.18 % SZS status Theorem
% 0.94/1.18 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.94/1.18 SPASS derived 2496 clauses, backtracked 66 clauses, performed 5 splits and kept 1202 clauses.
% 0.94/1.18 SPASS allocated 86484 KBytes.
% 0.94/1.18 SPASS spent 0:00:00.83 on the problem.
% 0.94/1.18 0:00:00.04 for the input.
% 0.94/1.18 0:00:00.03 for the FLOTTER CNF translation.
% 0.94/1.18 0:00:00.05 for inferences.
% 0.94/1.18 0:00:00.00 for the backtracking.
% 0.94/1.18 0:00:00.68 for the reduction.
% 0.94/1.18
% 0.94/1.18
% 0.94/1.18 Here is a proof with depth 8, length 56 :
% 0.94/1.18 % SZS output start Refutation
% See solution above
% 0.94/1.18 Formulae used in the proof : con apart2 apart3 ax6 ci3 ci4 ceq1 ceq2 ceq3 cu1
% 0.94/1.18
%------------------------------------------------------------------------------