TSTP Solution File: GEO191+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO191+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 06:23:11 EDT 2022
% Result : Theorem 0.53s 0.72s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 36 ( 14 unt; 15 nHn; 36 RR)
% Number of literals : 79 ( 0 equ; 24 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+2.p',unknown),
[] ).
cnf(2,axiom,
convergent_lines(skc4,skc5),
file('GEO191+2.p',unknown),
[] ).
cnf(3,axiom,
~ distinct_points(u,u),
file('GEO191+2.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_lines(u,u),
file('GEO191+2.p',unknown),
[] ).
cnf(6,axiom,
~ apart_point_and_line(intersection_point(skc4,skc5),skc7),
file('GEO191+2.p',unknown),
[] ).
cnf(7,axiom,
~ apart_point_and_line(intersection_point(skc4,skc5),skc6),
file('GEO191+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(u,v) ),
file('GEO191+2.p',unknown),
[] ).
cnf(9,axiom,
( apart_point_and_line(intersection_point(skc7,skc6),skc5)
| apart_point_and_line(intersection_point(skc7,skc6),skc4) ),
file('GEO191+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO191+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO191+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO191+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,u)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO191+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,v)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO191+2.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+2.p',unknown),
[] ).
cnf(22,plain,
( ~ apart_point_and_line(u,skc4)
| distinct_points(u,intersection_point(skc4,skc5)) ),
inference(res,[status(thm),theory(equality)],[2,17]),
[iquote('0:Res:2.0,17.1')] ).
cnf(23,plain,
( ~ apart_point_and_line(u,skc5)
| distinct_points(u,intersection_point(skc4,skc5)) ),
inference(res,[status(thm),theory(equality)],[2,18]),
[iquote('0:Res:2.0,18.1')] ).
cnf(25,plain,
distinct_lines(skc7,skc6),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(26,plain,
( ~ apart_point_and_line(u,skc7)
| distinct_points(u,intersection_point(skc7,skc6)) ),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.1')] ).
cnf(27,plain,
( ~ apart_point_and_line(u,skc6)
| distinct_points(u,intersection_point(skc7,skc6)) ),
inference(res,[status(thm),theory(equality)],[1,18]),
[iquote('0:Res:1.0,18.1')] ).
cnf(45,plain,
~ apart_point_and_line(intersection_point(skc7,skc6),skc6),
inference(res,[status(thm),theory(equality)],[27,3]),
[iquote('0:Res:27.1,3.0')] ).
cnf(46,plain,
~ apart_point_and_line(intersection_point(skc7,skc6),skc7),
inference(res,[status(thm),theory(equality)],[26,3]),
[iquote('0:Res:26.1,3.0')] ).
cnf(62,plain,
( ~ apart_point_and_line(u,skc4)
| distinct_points(intersection_point(skc4,skc5),v)
| distinct_points(u,v) ),
inference(res,[status(thm),theory(equality)],[22,10]),
[iquote('0:Res:22.1,10.0')] ).
cnf(77,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)],[9,13]),
[iquote('0:Res:9.1,13.0')] ).
cnf(224,plain,
( ~ distinct_points(u,v)
| apart_point_and_line(v,skc7)
| apart_point_and_line(v,skc6)
| apart_point_and_line(u,skc6)
| apart_point_and_line(u,skc7) ),
inference(res,[status(thm),theory(equality)],[25,19]),
[iquote('0:Res:25.0,19.0')] ).
cnf(343,plain,
( apart_point_and_line(u,skc4)
| distinct_points(intersection_point(skc7,skc6),u) ),
inference(spt,[spt(split,[position(s1)])],[77]),
[iquote('1:Spt:77.1,77.2')] ).
cnf(344,plain,
apart_point_and_line(intersection_point(skc7,skc6),skc4),
inference(res,[status(thm),theory(equality)],[343,3]),
[iquote('1:Res:343.1,3.0')] ).
cnf(842,plain,
( distinct_points(intersection_point(skc4,skc5),u)
| distinct_points(intersection_point(skc7,skc6),u) ),
inference(res,[status(thm),theory(equality)],[344,62]),
[iquote('1:Res:344.0,62.0')] ).
cnf(845,plain,
distinct_points(intersection_point(skc7,skc6),intersection_point(skc4,skc5)),
inference(res,[status(thm),theory(equality)],[842,3]),
[iquote('1:Res:842.0,3.0')] ).
cnf(1172,plain,
( ~ apart_point_and_line(u,skc5)
| apart_point_and_line(intersection_point(skc4,skc5),skc7)
| apart_point_and_line(intersection_point(skc4,skc5),skc6)
| apart_point_and_line(u,skc6)
| apart_point_and_line(u,skc7) ),
inference(res,[status(thm),theory(equality)],[23,224]),
[iquote('0:Res:23.1,224.0')] ).
cnf(1186,plain,
( apart_point_and_line(intersection_point(skc4,skc5),skc7)
| apart_point_and_line(intersection_point(skc4,skc5),skc6)
| apart_point_and_line(intersection_point(skc7,skc6),skc6)
| apart_point_and_line(intersection_point(skc7,skc6),skc7) ),
inference(res,[status(thm),theory(equality)],[845,224]),
[iquote('1:Res:845.0,224.0')] ).
cnf(1190,plain,
$false,
inference(mrr,[status(thm)],[1186,6,7,45,46]),
[iquote('1:MRR:1186.0,1186.1,1186.2,1186.3,6.0,7.0,45.0,46.0')] ).
cnf(1191,plain,
( ~ apart_point_and_line(u,skc5)
| apart_point_and_line(u,skc6)
| apart_point_and_line(u,skc7) ),
inference(mrr,[status(thm)],[1172,6,7]),
[iquote('0:MRR:1172.1,1172.2,6.0,7.0')] ).
cnf(1198,plain,
apart_point_and_line(intersection_point(skc7,skc6),skc5),
inference(spt,[spt(split,[position(s2)])],[77]),
[iquote('1:Spt:1190.0,77.0')] ).
cnf(1203,plain,
( distinct_lines(skc5,u)
| apart_point_and_line(intersection_point(skc7,skc6),u) ),
inference(res,[status(thm),theory(equality)],[1198,14]),
[iquote('1:Res:1198.0,14.0')] ).
cnf(1448,plain,
( distinct_lines(skc5,skc5)
| apart_point_and_line(intersection_point(skc7,skc6),skc6)
| apart_point_and_line(intersection_point(skc7,skc6),skc7) ),
inference(res,[status(thm),theory(equality)],[1203,1191]),
[iquote('1:Res:1203.1,1191.0')] ).
cnf(1450,plain,
$false,
inference(mrr,[status(thm)],[1448,4,45,46]),
[iquote('1:MRR:1448.0,1448.1,1448.2,4.0,45.0,46.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO191+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 : Sat Jun 18 01:33:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.53/0.72
% 0.53/0.72 SPASS V 3.9
% 0.53/0.72 SPASS beiseite: Proof found.
% 0.53/0.72 % SZS status Theorem
% 0.53/0.72 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.72 SPASS derived 1312 clauses, backtracked 37 clauses, performed 1 splits and kept 737 clauses.
% 0.53/0.72 SPASS allocated 85872 KBytes.
% 0.53/0.72 SPASS spent 0:00:00.36 on the problem.
% 0.53/0.72 0:00:00.03 for the input.
% 0.53/0.72 0:00:00.03 for the FLOTTER CNF translation.
% 0.53/0.72 0:00:00.02 for inferences.
% 0.53/0.72 0:00:00.00 for the backtracking.
% 0.53/0.72 0:00:00.25 for the reduction.
% 0.53/0.72
% 0.53/0.72
% 0.53/0.72 Here is a proof with depth 6, length 36 :
% 0.53/0.72 % SZS output start Refutation
% See solution above
% 0.53/0.72 Formulae used in the proof : con apart1 apart2 ceq3 apart4 ceq1 ceq2 con2 cu1
% 0.53/0.72
%------------------------------------------------------------------------------