TSTP Solution File: GEO175+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO175+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 06:22:57 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of clauses : 31 ( 13 unt; 15 nHn; 31 RR)
% Number of literals : 65 ( 0 equ; 20 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(2,axiom,
convergent_lines(skc4,skc5),
file('GEO175+1.p',unknown),
[] ).
cnf(3,axiom,
~ apart_point_and_line(skc6,skc5),
file('GEO175+1.p',unknown),
[] ).
cnf(4,axiom,
~ apart_point_and_line(skc6,skc4),
file('GEO175+1.p',unknown),
[] ).
cnf(6,axiom,
~ distinct_lines(u,u),
file('GEO175+1.p',unknown),
[] ).
cnf(7,axiom,
~ convergent_lines(u,u),
file('GEO175+1.p',unknown),
[] ).
cnf(8,axiom,
distinct_points(skc6,intersection_point(skc4,skc5)),
file('GEO175+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO175+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO175+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO175+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO175+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO175+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('GEO175+1.p',unknown),
[] ).
cnf(20,plain,
( convergent_lines(skc5,u)
| convergent_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[2,11]),
[iquote('0:Res:2.0,11.0')] ).
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(34,plain,
( ~ distinct_lines(skc5,u)
| ~ distinct_points(skc6,v)
| apart_point_and_line(v,u)
| apart_point_and_line(v,skc5)
| apart_point_and_line(skc6,u) ),
inference(res,[status(thm),theory(equality)],[19,3]),
[iquote('0:Res:19.2,3.0')] ).
cnf(46,plain,
( convergent_lines(skc5,u)
| convergent_lines(u,v)
| convergent_lines(skc4,v) ),
inference(res,[status(thm),theory(equality)],[20,11]),
[iquote('0:Res:20.1,11.0')] ).
cnf(52,plain,
( convergent_lines(skc5,u)
| convergent_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[46,7]),
[iquote('0:Res:46.2,7.0')] ).
cnf(54,plain,
( convergent_lines(u,skc4)
| convergent_lines(u,v)
| convergent_lines(skc5,v) ),
inference(res,[status(thm),theory(equality)],[52,11]),
[iquote('0:Res:52.0,11.0')] ).
cnf(64,plain,
( convergent_lines(u,skc4)
| convergent_lines(u,skc5) ),
inference(res,[status(thm),theory(equality)],[54,7]),
[iquote('0:Res:54.2,7.0')] ).
cnf(81,plain,
( convergent_lines(u,skc5)
| distinct_lines(skc4,v)
| convergent_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[64,18]),
[iquote('0:Res:64.0,18.0')] ).
cnf(99,plain,
( distinct_lines(skc4,skc5)
| convergent_lines(u,skc5) ),
inference(fac,[status(thm)],[81]),
[iquote('0:Fac:81.0,81.2')] ).
cnf(107,plain,
convergent_lines(u,skc5),
inference(spt,[spt(split,[position(s1)])],[99]),
[iquote('1:Spt:99.1')] ).
cnf(108,plain,
$false,
inference(unc,[status(thm)],[107,7]),
[iquote('1:UnC:107.0,7.0')] ).
cnf(109,plain,
distinct_lines(skc4,skc5),
inference(spt,[spt(split,[position(s2)])],[99]),
[iquote('1:Spt:108.0,99.0')] ).
cnf(110,plain,
( distinct_lines(skc5,u)
| distinct_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[109,10]),
[iquote('1:Res:109.0,10.0')] ).
cnf(117,plain,
distinct_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[110,6]),
[iquote('1:Res:110.1,6.0')] ).
cnf(285,plain,
( ~ distinct_points(skc6,u)
| apart_point_and_line(u,skc4)
| apart_point_and_line(u,skc5)
| apart_point_and_line(skc6,skc4) ),
inference(res,[status(thm),theory(equality)],[117,34]),
[iquote('1:Res:117.0,34.0')] ).
cnf(288,plain,
( ~ distinct_points(skc6,u)
| apart_point_and_line(u,skc4)
| apart_point_and_line(u,skc5) ),
inference(mrr,[status(thm)],[285,4]),
[iquote('1:MRR:285.3,4.0')] ).
cnf(646,plain,
( ~ distinct_points(skc6,intersection_point(skc4,skc5))
| apart_point_and_line(intersection_point(skc4,skc5),skc5) ),
inference(res,[status(thm),theory(equality)],[288,21]),
[iquote('1:Res:288.1,21.0')] ).
cnf(653,plain,
$false,
inference(mrr,[status(thm)],[646,8,22]),
[iquote('1:MRR:646.0,646.1,8.0,22.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO175+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n011.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 01:21:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50
% 0.20/0.50 SPASS V 3.9
% 0.20/0.50 SPASS beiseite: Proof found.
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 SPASS derived 538 clauses, backtracked 1 clauses, performed 3 splits and kept 270 clauses.
% 0.20/0.50 SPASS allocated 85467 KBytes.
% 0.20/0.50 SPASS spent 0:00:00.14 on the problem.
% 0.20/0.50 0:00:00.04 for the input.
% 0.20/0.50 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.50 0:00:00.01 for inferences.
% 0.20/0.50 0:00:00.00 for the backtracking.
% 0.20/0.50 0:00:00.04 for the reduction.
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 Here is a proof with depth 12, length 31 :
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 Formulae used in the proof : con apart2 apart3 apart5 ax6 ci3 ci4 ceq3 cu1
% 0.20/0.50
%------------------------------------------------------------------------------