TSTP Solution File: GEO198+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO198+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 30 ( 12 unt; 10 nHn; 30 RR)
% Number of literals : 64 ( 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 : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
convergent_lines(skc5,skc3),
file('GEO198+2.p',unknown),
[] ).
cnf(2,axiom,
convergent_lines(skc5,skc4),
file('GEO198+2.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_points(u,u),
file('GEO198+2.p',unknown),
[] ).
cnf(5,axiom,
~ distinct_lines(u,u),
file('GEO198+2.p',unknown),
[] ).
cnf(7,axiom,
apart_point_and_line(intersection_point(skc5,skc4),skc3),
file('GEO198+2.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(intersection_point(skc5,skc3),skc4),
file('GEO198+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(u,v) ),
file('GEO198+2.p',unknown),
[] ).
cnf(11,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO198+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,u)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO198+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,v)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO198+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('GEO198+2.p',unknown),
[] ).
cnf(25,plain,
distinct_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[2,9]),
[iquote('0:Res:2.0,9.0')] ).
cnf(26,plain,
( ~ apart_point_and_line(u,skc5)
| distinct_points(u,intersection_point(skc5,skc4)) ),
inference(res,[status(thm),theory(equality)],[2,17]),
[iquote('0:Res:2.0,17.1')] ).
cnf(27,plain,
( ~ apart_point_and_line(u,skc4)
| distinct_points(u,intersection_point(skc5,skc4)) ),
inference(res,[status(thm),theory(equality)],[2,18]),
[iquote('0:Res:2.0,18.1')] ).
cnf(30,plain,
( ~ apart_point_and_line(u,skc5)
| distinct_points(u,intersection_point(skc5,skc3)) ),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.1')] ).
cnf(33,plain,
( ~ convergent_lines(u,skc3)
| distinct_points(intersection_point(skc5,skc4),intersection_point(u,skc3)) ),
inference(res,[status(thm),theory(equality)],[7,18]),
[iquote('0:Res:7.0,18.0')] ).
cnf(41,plain,
( ~ distinct_points(u,intersection_point(skc5,skc3))
| ~ distinct_lines(skc4,v)
| apart_point_and_line(u,v)
| apart_point_and_line(u,skc4)
| apart_point_and_line(intersection_point(skc5,skc3),v) ),
inference(res,[status(thm),theory(equality)],[19,8]),
[iquote('0:Res:19.5,8.0')] ).
cnf(50,plain,
( distinct_lines(skc4,u)
| distinct_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[25,11]),
[iquote('0:Res:25.0,11.0')] ).
cnf(56,plain,
( distinct_lines(skc5,u)
| distinct_lines(u,v)
| distinct_lines(skc4,v) ),
inference(res,[status(thm),theory(equality)],[50,11]),
[iquote('0:Res:50.0,11.0')] ).
cnf(65,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc5),
inference(res,[status(thm),theory(equality)],[30,4]),
[iquote('0:Res:30.1,4.0')] ).
cnf(66,plain,
~ apart_point_and_line(intersection_point(skc5,skc4),skc4),
inference(res,[status(thm),theory(equality)],[27,4]),
[iquote('0:Res:27.1,4.0')] ).
cnf(74,plain,
~ apart_point_and_line(intersection_point(skc5,skc4),skc5),
inference(res,[status(thm),theory(equality)],[26,4]),
[iquote('0:Res:26.1,4.0')] ).
cnf(99,plain,
( distinct_lines(skc5,u)
| distinct_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[56,5]),
[iquote('0:Res:56.2,5.0')] ).
cnf(103,plain,
( distinct_lines(u,skc4)
| distinct_lines(u,v)
| distinct_lines(skc5,v) ),
inference(res,[status(thm),theory(equality)],[99,11]),
[iquote('0:Res:99.0,11.0')] ).
cnf(166,plain,
( distinct_lines(u,skc4)
| distinct_lines(u,skc5) ),
inference(res,[status(thm),theory(equality)],[103,5]),
[iquote('0:Res:103.2,5.0')] ).
cnf(172,plain,
distinct_lines(skc4,skc5),
inference(res,[status(thm),theory(equality)],[166,5]),
[iquote('0:Res:166.0,5.0')] ).
cnf(714,plain,
( ~ convergent_lines(skc5,skc3)
| ~ distinct_lines(skc4,u)
| apart_point_and_line(intersection_point(skc5,skc4),u)
| apart_point_and_line(intersection_point(skc5,skc4),skc4)
| apart_point_and_line(intersection_point(skc5,skc3),u) ),
inference(res,[status(thm),theory(equality)],[33,41]),
[iquote('0:Res:33.1,41.0')] ).
cnf(715,plain,
( ~ distinct_lines(skc4,u)
| apart_point_and_line(intersection_point(skc5,skc4),u)
| apart_point_and_line(intersection_point(skc5,skc3),u) ),
inference(mrr,[status(thm)],[714,1,66]),
[iquote('0:MRR:714.0,714.3,1.0,66.0')] ).
cnf(951,plain,
( ~ distinct_lines(skc4,skc5)
| apart_point_and_line(intersection_point(skc5,skc4),skc5) ),
inference(res,[status(thm),theory(equality)],[715,65]),
[iquote('0:Res:715.2,65.0')] ).
cnf(970,plain,
$false,
inference(mrr,[status(thm)],[951,172,74]),
[iquote('0:MRR:951.0,951.1,172.0,74.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO198+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n021.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 07:06:01 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.59
% 0.20/0.59 SPASS V 3.9
% 0.20/0.59 SPASS beiseite: Proof found.
% 0.20/0.59 % SZS status Theorem
% 0.20/0.59 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.59 SPASS derived 898 clauses, backtracked 0 clauses, performed 0 splits and kept 522 clauses.
% 0.20/0.59 SPASS allocated 85595 KBytes.
% 0.20/0.59 SPASS spent 0:00:00.23 on the problem.
% 0.20/0.59 0:00:00.03 for the input.
% 0.20/0.59 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.59 0:00:00.01 for inferences.
% 0.20/0.59 0:00:00.00 for the backtracking.
% 0.20/0.59 0:00:00.13 for the reduction.
% 0.20/0.59
% 0.20/0.59
% 0.20/0.59 Here is a proof with depth 7, length 30 :
% 0.20/0.59 % SZS output start Refutation
% See solution above
% 0.20/0.59 Formulae used in the proof : con apart1 apart2 ceq3 apart5 con2 cu1
% 0.20/0.59
%------------------------------------------------------------------------------