TSTP Solution File: GEO196+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO196+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 06:23:15 EDT 2022
% Result : Theorem 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 33 ( 13 unt; 12 nHn; 33 RR)
% Number of literals : 72 ( 0 equ; 23 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('GEO196+2.p',unknown),
[] ).
cnf(2,axiom,
convergent_lines(skc4,skc5),
file('GEO196+2.p',unknown),
[] ).
cnf(3,axiom,
~ distinct_points(u,u),
file('GEO196+2.p',unknown),
[] ).
cnf(6,axiom,
~ apart_point_and_line(intersection_point(skc7,skc6),skc4),
file('GEO196+2.p',unknown),
[] ).
cnf(7,axiom,
~ apart_point_and_line(intersection_point(skc7,skc6),skc5),
file('GEO196+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(u,v) ),
file('GEO196+2.p',unknown),
[] ).
cnf(9,axiom,
( apart_point_and_line(intersection_point(skc4,skc5),skc6)
| apart_point_and_line(intersection_point(skc4,skc5),skc7) ),
file('GEO196+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO196+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO196+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,u)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO196+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,v)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO196+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('GEO196+2.p',unknown),
[] ).
cnf(21,plain,
distinct_lines(skc4,skc5),
inference(res,[status(thm),theory(equality)],[2,8]),
[iquote('0:Res:2.0,8.0')] ).
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(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(52,plain,
~ apart_point_and_line(intersection_point(skc4,skc5),skc5),
inference(res,[status(thm),theory(equality)],[23,3]),
[iquote('0:Res:23.1,3.0')] ).
cnf(53,plain,
~ apart_point_and_line(intersection_point(skc4,skc5),skc4),
inference(res,[status(thm),theory(equality)],[22,3]),
[iquote('0:Res:22.1,3.0')] ).
cnf(63,plain,
( ~ apart_point_and_line(u,skc6)
| distinct_points(intersection_point(skc7,skc6),v)
| distinct_points(u,v) ),
inference(res,[status(thm),theory(equality)],[27,10]),
[iquote('0:Res:27.1,10.0')] ).
cnf(77,plain,
( apart_point_and_line(intersection_point(skc4,skc5),skc7)
| apart_point_and_line(u,skc6)
| distinct_points(intersection_point(skc4,skc5),u) ),
inference(res,[status(thm),theory(equality)],[9,13]),
[iquote('0:Res:9.0,13.0')] ).
cnf(225,plain,
( ~ distinct_points(u,v)
| apart_point_and_line(v,skc4)
| apart_point_and_line(v,skc5)
| apart_point_and_line(u,skc5)
| apart_point_and_line(u,skc4) ),
inference(res,[status(thm),theory(equality)],[21,19]),
[iquote('0:Res:21.0,19.0')] ).
cnf(343,plain,
( apart_point_and_line(u,skc6)
| distinct_points(intersection_point(skc4,skc5),u) ),
inference(spt,[spt(split,[position(s1)])],[77]),
[iquote('1:Spt:77.1,77.2')] ).
cnf(344,plain,
apart_point_and_line(intersection_point(skc4,skc5),skc6),
inference(res,[status(thm),theory(equality)],[343,3]),
[iquote('1:Res:343.1,3.0')] ).
cnf(836,plain,
( distinct_points(intersection_point(skc7,skc6),u)
| distinct_points(intersection_point(skc4,skc5),u) ),
inference(res,[status(thm),theory(equality)],[344,63]),
[iquote('1:Res:344.0,63.0')] ).
cnf(839,plain,
distinct_points(intersection_point(skc7,skc6),intersection_point(skc4,skc5)),
inference(res,[status(thm),theory(equality)],[836,3]),
[iquote('1:Res:836.1,3.0')] ).
cnf(1218,plain,
( ~ apart_point_and_line(u,skc7)
| apart_point_and_line(intersection_point(skc7,skc6),skc4)
| apart_point_and_line(intersection_point(skc7,skc6),skc5)
| apart_point_and_line(u,skc5)
| apart_point_and_line(u,skc4) ),
inference(res,[status(thm),theory(equality)],[26,225]),
[iquote('0:Res:26.1,225.0')] ).
cnf(1233,plain,
( apart_point_and_line(intersection_point(skc4,skc5),skc4)
| apart_point_and_line(intersection_point(skc4,skc5),skc5)
| apart_point_and_line(intersection_point(skc7,skc6),skc5)
| apart_point_and_line(intersection_point(skc7,skc6),skc4) ),
inference(res,[status(thm),theory(equality)],[839,225]),
[iquote('1:Res:839.0,225.0')] ).
cnf(1237,plain,
$false,
inference(mrr,[status(thm)],[1233,53,52,7,6]),
[iquote('1:MRR:1233.0,1233.1,1233.2,1233.3,53.0,52.0,7.0,6.0')] ).
cnf(1244,plain,
apart_point_and_line(intersection_point(skc4,skc5),skc7),
inference(spt,[spt(split,[position(s2)])],[77]),
[iquote('1:Spt:1237.0,77.0')] ).
cnf(1245,plain,
( ~ apart_point_and_line(u,skc7)
| apart_point_and_line(u,skc5)
| apart_point_and_line(u,skc4) ),
inference(mrr,[status(thm)],[1218,6,7]),
[iquote('0:MRR:1218.1,1218.2,6.0,7.0')] ).
cnf(1528,plain,
( ~ apart_point_and_line(intersection_point(skc4,skc5),skc7)
| apart_point_and_line(intersection_point(skc4,skc5),skc5) ),
inference(res,[status(thm),theory(equality)],[1245,53]),
[iquote('0:Res:1245.2,53.0')] ).
cnf(1540,plain,
$false,
inference(mrr,[status(thm)],[1528,1244,52]),
[iquote('1:MRR:1528.0,1528.1,1244.0,52.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO196+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 04:13:17 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.57/0.74
% 0.57/0.74 SPASS V 3.9
% 0.57/0.74 SPASS beiseite: Proof found.
% 0.57/0.74 % SZS status Theorem
% 0.57/0.74 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.74 SPASS derived 1397 clauses, backtracked 39 clauses, performed 1 splits and kept 761 clauses.
% 0.57/0.74 SPASS allocated 85926 KBytes.
% 0.57/0.74 SPASS spent 0:00:00.38 on the problem.
% 0.57/0.74 0:00:00.04 for the input.
% 0.57/0.74 0:00:00.03 for the FLOTTER CNF translation.
% 0.57/0.74 0:00:00.02 for inferences.
% 0.57/0.74 0:00:00.00 for the backtracking.
% 0.57/0.74 0:00:00.26 for the reduction.
% 0.57/0.74
% 0.57/0.74
% 0.57/0.74 Here is a proof with depth 6, length 33 :
% 0.57/0.74 % SZS output start Refutation
% See solution above
% 0.57/0.74 Formulae used in the proof : con apart1 ceq3 apart4 ceq1 con2 cu1
% 0.57/0.74
%------------------------------------------------------------------------------