TSTP Solution File: GEO170+3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 06:22:53 EDT 2022
% Result : Theorem 0.38s 0.54s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 10 unt; 4 nHn; 17 RR)
% Number of literals : 33 ( 0 equ; 14 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 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('GEO170+3.p',unknown),
[] ).
cnf(2,axiom,
incident_point_and_line(skc5,skc4),
file('GEO170+3.p',unknown),
[] ).
cnf(3,axiom,
incident_point_and_line(skc3,skc4),
file('GEO170+3.p',unknown),
[] ).
cnf(7,axiom,
~ equal_lines(skc4,line_connecting(skc5,skc3)),
file('GEO170+3.p',unknown),
[] ).
cnf(17,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO170+3.p',unknown),
[] ).
cnf(27,axiom,
( ~ apart_point_and_line(u,v)
| ~ incident_point_and_line(u,v) ),
file('GEO170+3.p',unknown),
[] ).
cnf(32,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO170+3.p',unknown),
[] ).
cnf(33,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO170+3.p',unknown),
[] ).
cnf(50,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('GEO170+3.p',unknown),
[] ).
cnf(51,plain,
~ apart_point_and_line(skc3,skc4),
inference(res,[status(thm),theory(equality)],[3,27]),
[iquote('0:Res:3.0,27.0')] ).
cnf(52,plain,
~ apart_point_and_line(skc5,skc4),
inference(res,[status(thm),theory(equality)],[2,27]),
[iquote('0:Res:2.0,27.0')] ).
cnf(53,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)],[1,50]),
[iquote('0:Res:1.0,50.0')] ).
cnf(56,plain,
~ apart_point_and_line(skc5,line_connecting(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[1,32]),
[iquote('0:Res:1.0,32.0')] ).
cnf(57,plain,
~ apart_point_and_line(skc3,line_connecting(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[1,33]),
[iquote('0:Res:1.0,33.0')] ).
cnf(59,plain,
distinct_lines(skc4,line_connecting(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[17,7]),
[iquote('0:Res:17.1,7.0')] ).
cnf(880,plain,
( apart_point_and_line(skc3,skc4)
| apart_point_and_line(skc3,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,skc4) ),
inference(res,[status(thm),theory(equality)],[59,53]),
[iquote('0:Res:59.0,53.0')] ).
cnf(892,plain,
$false,
inference(mrr,[status(thm)],[880,51,57,56,52]),
[iquote('0:MRR:880.0,880.1,880.2,880.3,51.0,57.0,56.0,52.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 15:41:17 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.38/0.54
% 0.38/0.54 SPASS V 3.9
% 0.38/0.54 SPASS beiseite: Proof found.
% 0.38/0.54 % SZS status Theorem
% 0.38/0.54 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.54 SPASS derived 825 clauses, backtracked 0 clauses, performed 0 splits and kept 547 clauses.
% 0.38/0.54 SPASS allocated 98159 KBytes.
% 0.38/0.54 SPASS spent 0:00:00.18 on the problem.
% 0.38/0.54 0:00:00.04 for the input.
% 0.38/0.54 0:00:00.03 for the FLOTTER CNF translation.
% 0.38/0.54 0:00:00.01 for inferences.
% 0.38/0.54 0:00:00.00 for the backtracking.
% 0.38/0.54 0:00:00.07 for the reduction.
% 0.38/0.54
% 0.38/0.54
% 0.38/0.54 Here is a proof with depth 2, length 17 :
% 0.38/0.54 % SZS output start Refutation
% See solution above
% 0.38/0.54 Formulae used in the proof : con ax2 a4 ci1 ci2 cu1
% 0.38/0.54
%------------------------------------------------------------------------------