TSTP Solution File: GEO190+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO190+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 06:23:10 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 53 ( 17 unt; 28 nHn; 53 RR)
% Number of literals : 118 ( 0 equ; 23 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 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,
distinct_points(skc5,skc3),
file('GEO190+2.p',unknown),
[] ).
cnf(3,axiom,
distinct_points(skc3,skc4),
file('GEO190+2.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_points(u,u),
file('GEO190+2.p',unknown),
[] ).
cnf(5,axiom,
~ distinct_lines(u,u),
file('GEO190+2.p',unknown),
[] ).
cnf(7,axiom,
apart_point_and_line(skc4,line_connecting(skc3,skc5)),
file('GEO190+2.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(skc4,line_connecting(skc5,skc3)),
file('GEO190+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO190+2.p',unknown),
[] ).
cnf(11,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO190+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO190+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO190+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,u) ),
file('GEO190+2.p',unknown),
[] ).
cnf(16,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,v) ),
file('GEO190+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('GEO190+2.p',unknown),
[] ).
cnf(23,plain,
( ~ apart_point_and_line(u,line_connecting(skc3,skc4))
| distinct_points(u,skc4) ),
inference(res,[status(thm),theory(equality)],[3,16]),
[iquote('0:Res:3.0,16.1')] ).
cnf(28,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,v)
| apart_point_and_line(skc5,v)
| apart_point_and_line(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.0,19.0')] ).
cnf(29,plain,
( distinct_points(skc3,u)
| distinct_points(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(31,plain,
( ~ apart_point_and_line(u,line_connecting(skc5,skc3))
| distinct_points(u,skc3) ),
inference(res,[status(thm),theory(equality)],[1,16]),
[iquote('0:Res:1.0,16.1')] ).
cnf(34,plain,
( apart_point_and_line(u,line_connecting(skc3,skc5))
| distinct_points(skc4,u) ),
inference(res,[status(thm),theory(equality)],[7,13]),
[iquote('0:Res:7.0,13.0')] ).
cnf(35,plain,
( apart_point_and_line(skc4,u)
| distinct_lines(line_connecting(skc3,skc5),u) ),
inference(res,[status(thm),theory(equality)],[7,14]),
[iquote('0:Res:7.0,14.0')] ).
cnf(39,plain,
( ~ apart_point_and_line(skc4,u)
| distinct_lines(u,line_connecting(skc5,skc3)) ),
inference(res,[status(thm),theory(equality)],[14,8]),
[iquote('0:Res:14.1,8.0')] ).
cnf(41,plain,
( ~ apart_point_and_line(u,line_connecting(skc5,skc3))
| distinct_points(u,skc4) ),
inference(res,[status(thm),theory(equality)],[13,8]),
[iquote('0:Res:13.2,8.0')] ).
cnf(53,plain,
( apart_point_and_line(skc4,u)
| distinct_lines(u,v)
| distinct_lines(line_connecting(skc3,skc5),v) ),
inference(res,[status(thm),theory(equality)],[35,11]),
[iquote('0:Res:35.1,11.0')] ).
cnf(60,plain,
( distinct_points(skc5,u)
| distinct_points(u,v)
| distinct_points(skc3,v) ),
inference(res,[status(thm),theory(equality)],[29,10]),
[iquote('0:Res:29.0,10.0')] ).
cnf(77,plain,
( distinct_points(skc5,u)
| distinct_points(u,skc3) ),
inference(res,[status(thm),theory(equality)],[60,4]),
[iquote('0:Res:60.2,4.0')] ).
cnf(79,plain,
( distinct_points(u,skc3)
| distinct_points(u,v)
| distinct_points(skc5,v) ),
inference(res,[status(thm),theory(equality)],[77,10]),
[iquote('0:Res:77.0,10.0')] ).
cnf(92,plain,
( distinct_points(skc4,u)
| distinct_lines(line_connecting(skc3,skc5),v)
| apart_point_and_line(u,v) ),
inference(res,[status(thm),theory(equality)],[34,14]),
[iquote('0:Res:34.0,14.0')] ).
cnf(114,plain,
( distinct_points(u,skc3)
| distinct_points(u,skc5) ),
inference(res,[status(thm),theory(equality)],[79,4]),
[iquote('0:Res:79.2,4.0')] ).
cnf(119,plain,
distinct_points(skc3,skc5),
inference(res,[status(thm),theory(equality)],[114,4]),
[iquote('0:Res:114.0,4.0')] ).
cnf(212,plain,
( apart_point_and_line(skc4,u)
| distinct_lines(u,line_connecting(skc3,skc5)) ),
inference(res,[status(thm),theory(equality)],[53,5]),
[iquote('0:Res:53.2,5.0')] ).
cnf(249,plain,
( ~ apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,u) ),
inference(res,[status(thm),theory(equality)],[39,28]),
[iquote('0:Res:39.1,28.0')] ).
cnf(250,plain,
( apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,line_connecting(skc3,skc5))
| apart_point_and_line(skc5,line_connecting(skc3,skc5))
| apart_point_and_line(skc5,u) ),
inference(res,[status(thm),theory(equality)],[212,28]),
[iquote('0:Res:212.1,28.0')] ).
cnf(258,plain,
( distinct_points(skc4,u)
| distinct_lines(line_connecting(skc3,skc5),line_connecting(skc3,skc4))
| distinct_points(u,skc4) ),
inference(res,[status(thm),theory(equality)],[92,23]),
[iquote('0:Res:92.2,23.0')] ).
cnf(261,plain,
( distinct_points(skc4,u)
| distinct_lines(line_connecting(skc3,skc5),line_connecting(skc5,skc3))
| distinct_points(u,skc4) ),
inference(res,[status(thm),theory(equality)],[92,41]),
[iquote('0:Res:92.2,41.0')] ).
cnf(875,plain,
( distinct_points(skc4,u)
| distinct_points(u,skc4) ),
inference(spt,[spt(split,[position(s1)])],[258]),
[iquote('1:Spt:258.0,258.2')] ).
cnf(876,plain,
distinct_points(skc4,skc4),
inference(fac,[status(thm)],[875]),
[iquote('1:Fac:875.0,875.1')] ).
cnf(879,plain,
$false,
inference(mrr,[status(thm)],[876,4]),
[iquote('1:MRR:876.0,4.0')] ).
cnf(881,plain,
distinct_lines(line_connecting(skc3,skc5),line_connecting(skc3,skc4)),
inference(spt,[spt(split,[position(s2)])],[258]),
[iquote('1:Spt:879.0,258.1')] ).
cnf(1046,plain,
( distinct_points(skc4,u)
| distinct_points(u,skc4) ),
inference(spt,[spt(split,[position(s2s1)])],[261]),
[iquote('2:Spt:261.0,261.2')] ).
cnf(1047,plain,
distinct_points(skc4,skc4),
inference(fac,[status(thm)],[1046]),
[iquote('2:Fac:1046.0,1046.1')] ).
cnf(1050,plain,
$false,
inference(mrr,[status(thm)],[1047,4]),
[iquote('2:MRR:1047.0,4.0')] ).
cnf(1052,plain,
distinct_lines(line_connecting(skc3,skc5),line_connecting(skc5,skc3)),
inference(spt,[spt(split,[position(s2s2)])],[261]),
[iquote('2:Spt:1050.0,261.1')] ).
cnf(1100,plain,
( ~ apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc5,u) ),
inference(spt,[spt(split,[position(s2s2s1)])],[249]),
[iquote('3:Spt:249.0,249.1,249.4')] ).
cnf(1101,plain,
( apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,line_connecting(skc3,skc5))
| apart_point_and_line(skc5,line_connecting(skc3,skc5))
| apart_point_and_line(skc5,u) ),
inference(mrr,[status(thm)],[250,1100]),
[iquote('3:MRR:250.0,1100.0')] ).
cnf(1103,plain,
( apart_point_and_line(skc3,line_connecting(skc3,skc5))
| apart_point_and_line(skc5,line_connecting(skc3,skc5)) ),
inference(con,[status(thm)],[1101]),
[iquote('3:Con:1101.0')] ).
cnf(1119,plain,
( ~ distinct_points(skc3,skc5)
| apart_point_and_line(skc5,line_connecting(skc3,skc5))
| distinct_points(skc3,skc3) ),
inference(res,[status(thm),theory(equality)],[1103,15]),
[iquote('3:Res:1103.0,15.1')] ).
cnf(1121,plain,
apart_point_and_line(skc5,line_connecting(skc3,skc5)),
inference(mrr,[status(thm)],[1119,119,4]),
[iquote('3:MRR:1119.0,1119.2,119.0,4.0')] ).
cnf(1125,plain,
( ~ distinct_points(skc3,skc5)
| distinct_points(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[1121,16]),
[iquote('3:Res:1121.0,16.1')] ).
cnf(1126,plain,
$false,
inference(mrr,[status(thm)],[1125,119,4]),
[iquote('3:MRR:1125.0,1125.1,119.0,4.0')] ).
cnf(1127,plain,
( apart_point_and_line(skc3,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,line_connecting(skc5,skc3)) ),
inference(spt,[spt(split,[position(s2s2s2)])],[249]),
[iquote('3:Spt:1126.0,249.2,249.3')] ).
cnf(1129,plain,
( apart_point_and_line(skc5,line_connecting(skc5,skc3))
| distinct_points(skc3,skc3) ),
inference(res,[status(thm),theory(equality)],[1127,31]),
[iquote('3:Res:1127.0,31.0')] ).
cnf(1135,plain,
apart_point_and_line(skc5,line_connecting(skc5,skc3)),
inference(mrr,[status(thm)],[1129,4]),
[iquote('3:MRR:1129.1,4.0')] ).
cnf(1141,plain,
( ~ distinct_points(skc5,skc3)
| distinct_points(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[1135,15]),
[iquote('3:Res:1135.0,15.1')] ).
cnf(1144,plain,
$false,
inference(mrr,[status(thm)],[1141,114,4]),
[iquote('3:MRR:1141.0,1141.1,114.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO190+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n005.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 06:51:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.55
% 0.20/0.55 SPASS V 3.9
% 0.20/0.55 SPASS beiseite: Proof found.
% 0.20/0.55 % SZS status Theorem
% 0.20/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55 SPASS derived 986 clauses, backtracked 76 clauses, performed 3 splits and kept 336 clauses.
% 0.20/0.55 SPASS allocated 85587 KBytes.
% 0.20/0.55 SPASS spent 0:00:00.20 on the problem.
% 0.20/0.55 0:00:00.03 for the input.
% 0.20/0.55 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.55 0:00:00.02 for inferences.
% 0.20/0.55 0:00:00.00 for the backtracking.
% 0.20/0.55 0:00:00.10 for the reduction.
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 Here is a proof with depth 6, length 53 :
% 0.20/0.55 % SZS output start Refutation
% See solution above
% 0.20/0.55 Formulae used in the proof : con apart1 apart2 apart4 apart5 ceq1 ceq2 con1 cu1
% 0.20/0.55
%------------------------------------------------------------------------------