TSTP Solution File: GEO175+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO175+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 23 ( 11 unt; 6 nHn; 23 RR)
% Number of literals : 48 ( 0 equ; 21 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+2.p',unknown),
[] ).
cnf(3,axiom,
~ apart_point_and_line(skc6,skc5),
file('GEO175+2.p',unknown),
[] ).
cnf(4,axiom,
~ apart_point_and_line(skc6,skc4),
file('GEO175+2.p',unknown),
[] ).
cnf(5,axiom,
~ distinct_points(u,u),
file('GEO175+2.p',unknown),
[] ).
cnf(6,axiom,
~ distinct_lines(u,u),
file('GEO175+2.p',unknown),
[] ).
cnf(8,axiom,
distinct_points(skc6,intersection_point(skc4,skc5)),
file('GEO175+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(u,v) ),
file('GEO175+2.p',unknown),
[] ).
cnf(11,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO175+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,u)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO175+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,v)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO175+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('GEO175+2.p',unknown),
[] ).
cnf(21,plain,
distinct_lines(skc4,skc5),
inference(res,[status(thm),theory(equality)],[2,9]),
[iquote('0:Res:2.0,9.0')] ).
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(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(48,plain,
( distinct_lines(skc5,u)
| distinct_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[21,11]),
[iquote('0:Res:21.0,11.0')] ).
cnf(52,plain,
distinct_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[48,6]),
[iquote('0:Res:48.1,6.0')] ).
cnf(55,plain,
~ apart_point_and_line(intersection_point(skc4,skc5),skc5),
inference(res,[status(thm),theory(equality)],[23,5]),
[iquote('0:Res:23.1,5.0')] ).
cnf(63,plain,
~ apart_point_and_line(intersection_point(skc4,skc5),skc4),
inference(res,[status(thm),theory(equality)],[22,5]),
[iquote('0:Res:22.1,5.0')] ).
cnf(394,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)],[52,34]),
[iquote('0:Res:52.0,34.0')] ).
cnf(397,plain,
( ~ distinct_points(skc6,u)
| apart_point_and_line(u,skc4)
| apart_point_and_line(u,skc5) ),
inference(mrr,[status(thm)],[394,4]),
[iquote('0:MRR:394.3,4.0')] ).
cnf(594,plain,
( ~ distinct_points(skc6,intersection_point(skc4,skc5))
| apart_point_and_line(intersection_point(skc4,skc5),skc5) ),
inference(res,[status(thm),theory(equality)],[397,63]),
[iquote('0:Res:397.1,63.0')] ).
cnf(598,plain,
$false,
inference(mrr,[status(thm)],[594,8,55]),
[iquote('0:MRR:594.0,594.1,8.0,55.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO175+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.32 % Computer : n020.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Sat Jun 18 12:49:03 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.17/0.48
% 0.17/0.48 SPASS V 3.9
% 0.17/0.48 SPASS beiseite: Proof found.
% 0.17/0.48 % SZS status Theorem
% 0.17/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48 SPASS derived 504 clauses, backtracked 0 clauses, performed 2 splits and kept 294 clauses.
% 0.17/0.48 SPASS allocated 85425 KBytes.
% 0.17/0.48 SPASS spent 0:00:00.15 on the problem.
% 0.17/0.48 0:00:00.04 for the input.
% 0.17/0.48 0:00:00.03 for the FLOTTER CNF translation.
% 0.17/0.48 0:00:00.01 for inferences.
% 0.17/0.48 0:00:00.00 for the backtracking.
% 0.17/0.48 0:00:00.05 for the reduction.
% 0.17/0.48
% 0.17/0.48
% 0.17/0.48 Here is a proof with depth 5, length 23 :
% 0.17/0.48 % SZS output start Refutation
% See solution above
% 0.17/0.48 Formulae used in the proof : con apart1 apart2 ceq3 apart5 con2 cu1
% 0.17/0.48
%------------------------------------------------------------------------------