TSTP Solution File: GEO177+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO177+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 06:22:58 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 29 ( 12 unt; 14 nHn; 29 RR)
% Number of literals : 66 ( 0 equ; 17 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 : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
distinct_points(skc7,skc6),
file('GEO177+1.p',unknown),
[] ).
cnf(2,axiom,
distinct_points(skc4,skc5),
file('GEO177+1.p',unknown),
[] ).
cnf(3,axiom,
~ distinct_points(u,u),
file('GEO177+1.p',unknown),
[] ).
cnf(6,axiom,
~ apart_point_and_line(skc4,line_connecting(skc7,skc6)),
file('GEO177+1.p',unknown),
[] ).
cnf(7,axiom,
~ apart_point_and_line(skc5,line_connecting(skc7,skc6)),
file('GEO177+1.p',unknown),
[] ).
cnf(8,axiom,
( apart_point_and_line(skc6,line_connecting(skc4,skc5))
| apart_point_and_line(skc7,line_connecting(skc4,skc5)) ),
file('GEO177+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO177+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO177+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO177+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO177+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('GEO177+1.p',unknown),
[] ).
cnf(20,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc5,u)
| apart_point_and_line(skc5,v)
| apart_point_and_line(skc4,v)
| apart_point_and_line(skc4,u) ),
inference(res,[status(thm),theory(equality)],[2,19]),
[iquote('0:Res:2.0,19.0')] ).
cnf(22,plain,
~ apart_point_and_line(skc4,line_connecting(skc4,skc5)),
inference(res,[status(thm),theory(equality)],[2,12]),
[iquote('0:Res:2.0,12.0')] ).
cnf(23,plain,
~ apart_point_and_line(skc5,line_connecting(skc4,skc5)),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.0')] ).
cnf(26,plain,
~ apart_point_and_line(skc7,line_connecting(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(27,plain,
~ apart_point_and_line(skc6,line_connecting(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.0')] ).
cnf(37,plain,
( ~ apart_point_and_line(u,line_connecting(skc7,skc6))
| distinct_points(u,skc4) ),
inference(res,[status(thm),theory(equality)],[16,6]),
[iquote('0:Res:16.2,6.0')] ).
cnf(84,plain,
( apart_point_and_line(skc7,line_connecting(skc4,skc5))
| distinct_lines(line_connecting(skc4,skc5),u)
| apart_point_and_line(skc6,u) ),
inference(res,[status(thm),theory(equality)],[8,17]),
[iquote('0:Res:8.0,17.0')] ).
cnf(152,plain,
( distinct_lines(line_connecting(skc4,skc5),u)
| apart_point_and_line(skc6,u) ),
inference(spt,[spt(split,[position(s1)])],[84]),
[iquote('1:Spt:84.1,84.2')] ).
cnf(206,plain,
( apart_point_and_line(skc6,u)
| apart_point_and_line(skc5,line_connecting(skc4,skc5))
| apart_point_and_line(skc5,u)
| apart_point_and_line(skc4,u)
| apart_point_and_line(skc4,line_connecting(skc4,skc5)) ),
inference(res,[status(thm),theory(equality)],[152,20]),
[iquote('1:Res:152.0,20.0')] ).
cnf(207,plain,
( apart_point_and_line(skc6,u)
| apart_point_and_line(skc5,u)
| apart_point_and_line(skc4,u) ),
inference(mrr,[status(thm)],[206,23,22]),
[iquote('1:MRR:206.1,206.4,23.0,22.0')] ).
cnf(211,plain,
( apart_point_and_line(skc6,line_connecting(skc7,skc6))
| apart_point_and_line(skc5,line_connecting(skc7,skc6))
| distinct_points(skc4,skc4) ),
inference(res,[status(thm),theory(equality)],[207,37]),
[iquote('1:Res:207.2,37.0')] ).
cnf(218,plain,
$false,
inference(mrr,[status(thm)],[211,27,7,3]),
[iquote('1:MRR:211.0,211.1,211.2,27.0,7.0,3.0')] ).
cnf(219,plain,
apart_point_and_line(skc7,line_connecting(skc4,skc5)),
inference(spt,[spt(split,[position(s2)])],[84]),
[iquote('1:Spt:218.0,84.0')] ).
cnf(220,plain,
( distinct_lines(line_connecting(skc4,skc5),u)
| apart_point_and_line(skc7,u) ),
inference(res,[status(thm),theory(equality)],[219,17]),
[iquote('1:Res:219.0,17.0')] ).
cnf(223,plain,
( apart_point_and_line(skc7,u)
| apart_point_and_line(skc5,line_connecting(skc4,skc5))
| apart_point_and_line(skc5,u)
| apart_point_and_line(skc4,u)
| apart_point_and_line(skc4,line_connecting(skc4,skc5)) ),
inference(res,[status(thm),theory(equality)],[220,20]),
[iquote('1:Res:220.0,20.0')] ).
cnf(227,plain,
( apart_point_and_line(skc7,u)
| apart_point_and_line(skc5,u)
| apart_point_and_line(skc4,u) ),
inference(mrr,[status(thm)],[223,23,22]),
[iquote('1:MRR:223.1,223.4,23.0,22.0')] ).
cnf(252,plain,
( apart_point_and_line(skc7,line_connecting(skc7,skc6))
| apart_point_and_line(skc5,line_connecting(skc7,skc6))
| distinct_points(skc4,skc4) ),
inference(res,[status(thm),theory(equality)],[227,37]),
[iquote('1:Res:227.2,37.0')] ).
cnf(259,plain,
$false,
inference(mrr,[status(thm)],[252,26,7,3]),
[iquote('1:MRR:252.0,252.1,252.2,26.0,7.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO177+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.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 : Fri Jun 17 23:48:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45
% 0.18/0.45 SPASS V 3.9
% 0.18/0.45 SPASS beiseite: Proof found.
% 0.18/0.45 % SZS status Theorem
% 0.18/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 SPASS derived 210 clauses, backtracked 2 clauses, performed 2 splits and kept 138 clauses.
% 0.18/0.45 SPASS allocated 85230 KBytes.
% 0.18/0.45 SPASS spent 0:00:00.11 on the problem.
% 0.18/0.45 0:00:00.04 for the input.
% 0.18/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.45 0:00:00.00 for inferences.
% 0.18/0.45 0:00:00.00 for the backtracking.
% 0.18/0.45 0:00:00.01 for the reduction.
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 Here is a proof with depth 5, length 29 :
% 0.18/0.45 % SZS output start Refutation
% See solution above
% 0.18/0.45 Formulae used in the proof : con apart1 ci1 ci2 ceq1 ceq2 cu1
% 0.18/0.45
%------------------------------------------------------------------------------