TSTP Solution File: GEO203+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO203+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 06:23:21 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 43 ( 20 unt; 20 nHn; 43 RR)
% Number of literals : 83 ( 0 equ; 17 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
convergent_lines(skc3,skc5),
file('GEO203+1.p',unknown),
[] ).
cnf(2,axiom,
convergent_lines(skc3,skc4),
file('GEO203+1.p',unknown),
[] ).
cnf(5,axiom,
~ convergent_lines(u,u),
file('GEO203+1.p',unknown),
[] ).
cnf(6,axiom,
distinct_points(intersection_point(skc3,skc5),intersection_point(skc3,skc4)),
file('GEO203+1.p',unknown),
[] ).
cnf(7,axiom,
distinct_lines(line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4)),skc3),
file('GEO203+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO203+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO203+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO203+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO203+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO203+1.p',unknown),
[] ).
cnf(18,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('GEO203+1.p',unknown),
[] ).
cnf(19,plain,
( convergent_lines(skc4,u)
| convergent_lines(skc3,u) ),
inference(res,[status(thm),theory(equality)],[2,10]),
[iquote('0:Res:2.0,10.0')] ).
cnf(20,plain,
~ apart_point_and_line(intersection_point(skc3,skc4),skc3),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.0')] ).
cnf(23,plain,
( convergent_lines(skc5,u)
| convergent_lines(skc3,u) ),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(24,plain,
~ apart_point_and_line(intersection_point(skc3,skc5),skc3),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.0')] ).
cnf(27,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(intersection_point(skc3,skc4),u)
| apart_point_and_line(intersection_point(skc3,skc4),v)
| apart_point_and_line(intersection_point(skc3,skc5),v)
| apart_point_and_line(intersection_point(skc3,skc5),u) ),
inference(res,[status(thm),theory(equality)],[6,18]),
[iquote('0:Res:6.0,18.0')] ).
cnf(34,plain,
( apart_point_and_line(intersection_point(skc3,skc5),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4)))
| apart_point_and_line(intersection_point(skc3,skc5),skc3)
| apart_point_and_line(intersection_point(skc3,skc4),skc3)
| apart_point_and_line(intersection_point(skc3,skc4),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4))) ),
inference(res,[status(thm),theory(equality)],[7,27]),
[iquote('0:Res:7.0,27.0')] ).
cnf(35,plain,
( apart_point_and_line(intersection_point(skc3,skc4),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4)))
| apart_point_and_line(intersection_point(skc3,skc5),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4))) ),
inference(mrr,[status(thm)],[34,24,20]),
[iquote('0:MRR:34.1,34.2,24.0,20.0')] ).
cnf(76,plain,
( convergent_lines(skc4,u)
| convergent_lines(u,v)
| convergent_lines(skc3,v) ),
inference(res,[status(thm),theory(equality)],[19,10]),
[iquote('0:Res:19.1,10.0')] ).
cnf(77,plain,
( convergent_lines(skc5,u)
| convergent_lines(u,v)
| convergent_lines(skc3,v) ),
inference(res,[status(thm),theory(equality)],[23,10]),
[iquote('0:Res:23.1,10.0')] ).
cnf(100,plain,
( convergent_lines(skc4,u)
| convergent_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[76,5]),
[iquote('0:Res:76.2,5.0')] ).
cnf(103,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,v)
| convergent_lines(skc4,v) ),
inference(res,[status(thm),theory(equality)],[100,10]),
[iquote('0:Res:100.0,10.0')] ).
cnf(114,plain,
( convergent_lines(skc5,u)
| convergent_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[77,5]),
[iquote('0:Res:77.2,5.0')] ).
cnf(117,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,v)
| convergent_lines(skc5,v) ),
inference(res,[status(thm),theory(equality)],[114,10]),
[iquote('0:Res:114.0,10.0')] ).
cnf(150,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[103,5]),
[iquote('0:Res:103.2,5.0')] ).
cnf(158,plain,
( convergent_lines(u,skc4)
| distinct_lines(skc3,v)
| convergent_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[150,17]),
[iquote('0:Res:150.0,17.0')] ).
cnf(184,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,skc5) ),
inference(res,[status(thm),theory(equality)],[117,5]),
[iquote('0:Res:117.2,5.0')] ).
cnf(192,plain,
( convergent_lines(u,skc5)
| distinct_lines(skc3,v)
| convergent_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[184,17]),
[iquote('0:Res:184.0,17.0')] ).
cnf(258,plain,
( distinct_lines(skc3,skc4)
| convergent_lines(u,skc4) ),
inference(fac,[status(thm)],[158]),
[iquote('0:Fac:158.0,158.2')] ).
cnf(272,plain,
convergent_lines(u,skc4),
inference(spt,[spt(split,[position(s1)])],[258]),
[iquote('1:Spt:258.1')] ).
cnf(273,plain,
$false,
inference(unc,[status(thm)],[272,5]),
[iquote('1:UnC:272.0,5.0')] ).
cnf(274,plain,
distinct_lines(skc3,skc4),
inference(spt,[spt(split,[position(s2)])],[258]),
[iquote('1:Spt:273.0,258.0')] ).
cnf(367,plain,
( distinct_lines(skc3,skc5)
| convergent_lines(u,skc5) ),
inference(fac,[status(thm)],[192]),
[iquote('0:Fac:192.0,192.2')] ).
cnf(378,plain,
convergent_lines(u,skc5),
inference(spt,[spt(split,[position(s2s1)])],[367]),
[iquote('2:Spt:367.1')] ).
cnf(379,plain,
$false,
inference(unc,[status(thm)],[378,5]),
[iquote('2:UnC:378.0,5.0')] ).
cnf(380,plain,
distinct_lines(skc3,skc5),
inference(spt,[spt(split,[position(s2s2)])],[367]),
[iquote('2:Spt:379.0,367.0')] ).
cnf(425,plain,
apart_point_and_line(intersection_point(skc3,skc4),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4))),
inference(spt,[spt(split,[position(s2s2s1)])],[35]),
[iquote('3:Spt:35.0')] ).
cnf(426,plain,
~ distinct_points(intersection_point(skc3,skc5),intersection_point(skc3,skc4)),
inference(res,[status(thm),theory(equality)],[425,12]),
[iquote('3:Res:425.0,12.1')] ).
cnf(429,plain,
$false,
inference(mrr,[status(thm)],[426,6]),
[iquote('3:MRR:426.0,6.0')] ).
cnf(430,plain,
~ apart_point_and_line(intersection_point(skc3,skc4),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4))),
inference(spt,[spt(split,[position(s2s2sa)])],[429,425]),
[iquote('3:Spt:429.0,35.0,425.0')] ).
cnf(431,plain,
apart_point_and_line(intersection_point(skc3,skc5),line_connecting(intersection_point(skc3,skc5),intersection_point(skc3,skc4))),
inference(spt,[spt(split,[position(s2s2s2)])],[35]),
[iquote('3:Spt:429.0,35.1')] ).
cnf(435,plain,
~ distinct_points(intersection_point(skc3,skc5),intersection_point(skc3,skc4)),
inference(res,[status(thm),theory(equality)],[431,11]),
[iquote('3:Res:431.0,11.1')] ).
cnf(438,plain,
$false,
inference(mrr,[status(thm)],[435,6]),
[iquote('3:MRR:435.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO203+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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 06:18:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48
% 0.19/0.48 SPASS V 3.9
% 0.19/0.48 SPASS beiseite: Proof found.
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 SPASS derived 364 clauses, backtracked 9 clauses, performed 3 splits and kept 252 clauses.
% 0.19/0.48 SPASS allocated 85332 KBytes.
% 0.19/0.48 SPASS spent 0:00:00.14 on the problem.
% 0.19/0.48 0:00:00.04 for the input.
% 0.19/0.48 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.48 0:00:00.01 for inferences.
% 0.19/0.48 0:00:00.00 for the backtracking.
% 0.19/0.48 0:00:00.04 for the reduction.
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Here is a proof with depth 8, length 43 :
% 0.19/0.48 % SZS output start Refutation
% See solution above
% 0.19/0.48 Formulae used in the proof : con apart3 ax6 ci1 ci2 ci3 ceq3 cu1
% 0.19/0.48
%------------------------------------------------------------------------------