%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO195+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 06:23:14 EDT 2022
% Result : Theorem 10.67s 10.85s
% Output : Refutation 10.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 52 ( 19 unt; 29 nHn; 52 RR)
% Number of literals : 119 ( 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('GEO195+1.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_points(u,u),
file('GEO195+1.p',unknown),
[] ).
cnf(5,axiom,
~ distinct_lines(u,u),
file('GEO195+1.p',unknown),
[] ).
cnf(6,axiom,
~ convergent_lines(u,u),
file('GEO195+1.p',unknown),
[] ).
cnf(7,axiom,
apart_point_and_line(intersection_point(skc5,skc3),skc4),
file('GEO195+1.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(intersection_point(skc3,skc5),skc4),
file('GEO195+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO195+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO195+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO195+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO195+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO195+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO195+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO195+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('GEO195+1.p',unknown),
[] ).
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(skc5,skc3),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(skc5,skc3),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(skc3,skc5),u)
| distinct_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[17,8]),
[iquote('0:Res:17.1,8.0')] ).
cnf(57,plain,
( distinct_lines(skc4,u)
| apart_point_and_line(v,u)
| distinct_points(intersection_point(skc5,skc3),v) ),
inference(res,[status(thm),theory(equality)],[33,16]),
[iquote('0:Res:33.1,16.0')] ).
cnf(86,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(118,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(192,plain,
( convergent_lines(skc5,u)
| convergent_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[86,6]),
[iquote('0:Res:86.2,6.0')] ).
cnf(196,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,v)
| convergent_lines(skc5,v) ),
inference(res,[status(thm),theory(equality)],[192,11]),
[iquote('0:Res:192.0,11.0')] ).
cnf(325,plain,
( distinct_lines(skc4,u)
| apart_point_and_line(v,u)
| distinct_points(v,w)
| distinct_points(intersection_point(skc5,skc3),w) ),
inference(res,[status(thm),theory(equality)],[57,9]),
[iquote('0:Res:57.2,9.0')] ).
cnf(351,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,skc5) ),
inference(res,[status(thm),theory(equality)],[196,6]),
[iquote('0:Res:196.2,6.0')] ).
cnf(370,plain,
convergent_lines(skc3,skc5),
inference(res,[status(thm),theory(equality)],[351,6]),
[iquote('0:Res:351.0,6.0')] ).
cnf(372,plain,
( convergent_lines(u,skc5)
| distinct_lines(skc3,v)
| convergent_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[351,18]),
[iquote('0:Res:351.0,18.0')] ).
cnf(525,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(skc5,skc3),v)
| apart_point_and_line(intersection_point(skc5,skc3),skc3) ),
inference(res,[status(thm),theory(equality)],[32,118]),
[iquote('0:Res:32.1,118.0')] ).
cnf(528,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(skc5,skc3),v) ),
inference(mrr,[status(thm)],[525,30]),
[iquote('0:MRR:525.5,30.0')] ).
cnf(553,plain,
( distinct_lines(skc3,skc5)
| convergent_lines(u,skc5) ),
inference(fac,[status(thm)],[372]),
[iquote('0:Fac:372.0,372.2')] ).
cnf(574,plain,
convergent_lines(u,skc5),
inference(spt,[spt(split,[position(s1)])],[553]),
[iquote('1:Spt:553.1')] ).
cnf(575,plain,
$false,
inference(unc,[status(thm)],[574,6]),
[iquote('1:UnC:574.0,6.0')] ).
cnf(576,plain,
distinct_lines(skc3,skc5),
inference(spt,[spt(split,[position(s2)])],[553]),
[iquote('1:Spt:575.0,553.0')] ).
cnf(1936,plain,
( distinct_lines(skc4,u)
| apart_point_and_line(v,u)
| distinct_points(v,intersection_point(skc5,skc3)) ),
inference(res,[status(thm),theory(equality)],[325,4]),
[iquote('0:Res:325.3,4.0')] ).
cnf(1950,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)],[1936,35]),
[iquote('0:Res:1936.1,35.0')] ).
cnf(2650,plain,
( 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)],[528,29]),
[iquote('0:Res:528.4,29.0')] ).
cnf(2659,plain,
( apart_point_and_line(u,skc4)
| apart_point_and_line(u,skc3)
| apart_point_and_line(u,skc5) ),
inference(mrr,[status(thm)],[2650,6]),
[iquote('0:MRR:2650.1,6.0')] ).
cnf(2669,plain,
( apart_point_and_line(u,skc4)
| apart_point_and_line(u,skc5)
| distinct_lines(skc3,v)
| apart_point_and_line(u,v) ),
inference(res,[status(thm),theory(equality)],[2659,17]),
[iquote('0:Res:2659.1,17.0')] ).
cnf(2862,plain,
( apart_point_and_line(intersection_point(skc3,skc5),skc5)
| distinct_lines(skc3,u)
| apart_point_and_line(intersection_point(skc3,skc5),u) ),
inference(res,[status(thm),theory(equality)],[2669,8]),
[iquote('0:Res:2669.0,8.0')] ).
cnf(11016,plain,
( distinct_lines(skc4,u)
| distinct_lines(u,skc4) ),
inference(spt,[spt(split,[position(s2s1)])],[1950]),
[iquote('2:Spt:1950.0,1950.2')] ).
cnf(11017,plain,
distinct_lines(skc4,skc4),
inference(fac,[status(thm)],[11016]),
[iquote('2:Fac:11016.0,11016.1')] ).
cnf(11022,plain,
$false,
inference(mrr,[status(thm)],[11017,5]),
[iquote('2:MRR:11017.0,5.0')] ).
cnf(11025,plain,
distinct_points(intersection_point(skc3,skc5),intersection_point(skc5,skc3)),
inference(spt,[spt(split,[position(s2s2)])],[1950]),
[iquote('2:Spt:11022.0,1950.1')] ).
cnf(12016,plain,
( distinct_lines(skc3,u)
| apart_point_and_line(intersection_point(skc3,skc5),u) ),
inference(spt,[spt(split,[position(s2s2s1)])],[2862]),
[iquote('3:Spt:2862.1,2862.2')] ).
cnf(12019,plain,
( ~ convergent_lines(skc3,skc5)
| distinct_lines(skc3,skc3) ),
inference(res,[status(thm),theory(equality)],[12016,14]),
[iquote('3:Res:12016.1,14.1')] ).
cnf(12028,plain,
$false,
inference(mrr,[status(thm)],[12019,370,5]),
[iquote('3:MRR:12019.0,12019.1,370.0,5.0')] ).
cnf(12032,plain,
apart_point_and_line(intersection_point(skc3,skc5),skc5),
inference(spt,[spt(split,[position(s2s2s2)])],[2862]),
[iquote('3:Spt:12028.0,2862.0')] ).
cnf(12033,plain,
~ convergent_lines(skc3,skc5),
inference(res,[status(thm),theory(equality)],[12032,15]),
[iquote('3:Res:12032.0,15.1')] ).
cnf(12037,plain,
$false,
inference(mrr,[status(thm)],[12033,370]),
[iquote('3:MRR:12033.0,370.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO195+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 05:48:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 10.67/10.85
% 10.67/10.85 SPASS V 3.9
% 10.67/10.85 SPASS beiseite: Proof found.
% 10.67/10.85 % SZS status Theorem
% 10.67/10.85 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.67/10.85 SPASS derived 11025 clauses, backtracked 390 clauses, performed 6 splits and kept 4434 clauses.
% 10.67/10.85 SPASS allocated 91358 KBytes.
% 10.67/10.85 SPASS spent 0:0:10.34 on the problem.
% 10.67/10.85 0:00:00.04 for the input.
% 10.67/10.85 0:00:00.03 for the FLOTTER CNF translation.
% 10.67/10.85 0:00:00.29 for inferences.
% 10.67/10.85 0:00:00.01 for the backtracking.
% 10.67/10.85 0:00:09.84 for the reduction.
% 10.67/10.85
% 10.67/10.85
% 10.67/10.85 Here is a proof with depth 8, length 52 :
% 10.67/10.85 % SZS output start Refutation
% See solution above
% 10.67/10.85 Formulae used in the proof : con apart1 apart2 apart3 apart4 ax6 ci3 ci4 ceq1 ceq2 ceq3 cu1
% 10.67/10.85
%------------------------------------------------------------------------------