TSTP Solution File: GEO065-3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO065-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 06:22:02 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(27,axiom,
( ~ between(u,v,w)
| between(w,v,u) ),
file('GEO065-3.p',unknown),
[] ).
cnf(64,axiom,
between(u__dfg,w__dfg,v__dfg),
file('GEO065-3.p',unknown),
[] ).
cnf(65,axiom,
~ colinear(u__dfg,v__dfg,w__dfg),
file('GEO065-3.p',unknown),
[] ).
cnf(85,axiom,
( ~ between(u,v,w)
| colinear(w,u,v) ),
file('GEO065-3.p',unknown),
[] ).
cnf(93,plain,
~ between(v__dfg,w__dfg,u__dfg),
inference(res,[status(thm),theory(equality)],[85,65]),
[iquote('0:Res:85.1,65.0')] ).
cnf(133,plain,
between(v__dfg,w__dfg,u__dfg),
inference(res,[status(thm),theory(equality)],[64,27]),
[iquote('0:Res:64.0,27.0')] ).
cnf(139,plain,
$false,
inference(mrr,[status(thm)],[133,93]),
[iquote('0:MRR:133.0,93.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO065-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n017.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 03:41:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.42
% 0.19/0.42 SPASS V 3.9
% 0.19/0.42 SPASS beiseite: Proof found.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42 SPASS derived 45 clauses, backtracked 0 clauses, performed 0 splits and kept 95 clauses.
% 0.19/0.42 SPASS allocated 63229 KBytes.
% 0.19/0.42 SPASS spent 0:00:00.07 on the problem.
% 0.19/0.42 0:00:00.03 for the input.
% 0.19/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42 0:00:00.00 for inferences.
% 0.19/0.42 0:00:00.00 for the backtracking.
% 0.19/0.42 0:00:00.01 for the reduction.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Here is a proof with depth 1, length 7 :
% 0.19/0.42 % SZS output start Refutation
% See solution above
% 0.19/0.42 Formulae used in the proof : t1 w_between_u_and_v prove_uvw_colinear colinearity2
% 0.19/0.42
%------------------------------------------------------------------------------