TSTP Solution File: GEO184+3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO184+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 06:23:05 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% 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(skc7,skc6),
file('GEO184+3.p',unknown),
[] ).
cnf(2,axiom,
incident_point_and_line(skc7,skc4),
file('GEO184+3.p',unknown),
[] ).
cnf(4,axiom,
incident_point_and_line(skc6,skc4),
file('GEO184+3.p',unknown),
[] ).
cnf(8,axiom,
~ equal_lines(skc4,line_connecting(skc7,skc6)),
file('GEO184+3.p',unknown),
[] ).
cnf(18,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO184+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ apart_point_and_line(u,v)
| ~ incident_point_and_line(u,v) ),
file('GEO184+3.p',unknown),
[] ).
cnf(33,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO184+3.p',unknown),
[] ).
cnf(34,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO184+3.p',unknown),
[] ).
cnf(51,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('GEO184+3.p',unknown),
[] ).
cnf(52,plain,
~ apart_point_and_line(skc6,skc4),
inference(res,[status(thm),theory(equality)],[4,28]),
[iquote('0:Res:4.0,28.0')] ).
cnf(62,plain,
~ apart_point_and_line(skc7,skc4),
inference(res,[status(thm),theory(equality)],[2,28]),
[iquote('0:Res:2.0,28.0')] ).
cnf(63,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc6,u)
| apart_point_and_line(skc6,v)
| apart_point_and_line(skc7,v)
| apart_point_and_line(skc7,u) ),
inference(res,[status(thm),theory(equality)],[1,51]),
[iquote('0:Res:1.0,51.0')] ).
cnf(66,plain,
~ apart_point_and_line(skc7,line_connecting(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[1,33]),
[iquote('0:Res:1.0,33.0')] ).
cnf(67,plain,
~ apart_point_and_line(skc6,line_connecting(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[1,34]),
[iquote('0:Res:1.0,34.0')] ).
cnf(69,plain,
distinct_lines(skc4,line_connecting(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[18,8]),
[iquote('0:Res:18.1,8.0')] ).
cnf(862,plain,
( apart_point_and_line(skc6,skc4)
| apart_point_and_line(skc6,line_connecting(skc7,skc6))
| apart_point_and_line(skc7,line_connecting(skc7,skc6))
| apart_point_and_line(skc7,skc4) ),
inference(res,[status(thm),theory(equality)],[69,63]),
[iquote('0:Res:69.0,63.0')] ).
cnf(885,plain,
$false,
inference(mrr,[status(thm)],[862,52,67,66,62]),
[iquote('0:MRR:862.0,862.1,862.2,862.3,52.0,67.0,66.0,62.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO184+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 15:39:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52
% 0.19/0.52 SPASS V 3.9
% 0.19/0.52 SPASS beiseite: Proof found.
% 0.19/0.52 % SZS status Theorem
% 0.19/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 SPASS derived 822 clauses, backtracked 0 clauses, performed 0 splits and kept 600 clauses.
% 0.19/0.52 SPASS allocated 98158 KBytes.
% 0.19/0.52 SPASS spent 0:00:00.17 on the problem.
% 0.19/0.52 0:00:00.04 for the input.
% 0.19/0.52 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.52 0:00:00.01 for inferences.
% 0.19/0.52 0:00:00.00 for the backtracking.
% 0.19/0.52 0:00:00.07 for the reduction.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 Here is a proof with depth 2, length 17 :
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 Formulae used in the proof : con ax2 a4 ci1 ci2 cu1
% 0.19/0.52
%------------------------------------------------------------------------------