TSTP Solution File: GEO035-3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO035-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 06:21:45 EDT 2022
% Result : Unsatisfiable 0.14s 0.34s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
~ equal(extension(u__dfg,v__dfg,w__dfg,w__dfg),v__dfg),
file('GEO035-3.p',unknown),
[] ).
cnf(13,axiom,
( ~ equidistant(u,v,w,w)
| equal(u,v) ),
file('GEO035-3.p',unknown),
[] ).
cnf(15,axiom,
equidistant(u,extension(v,u,w,x),w,x),
file('GEO035-3.p',unknown),
[] ).
cnf(40,plain,
~ equidistant(v__dfg,extension(u__dfg,v__dfg,w__dfg,w__dfg),u,u),
inference(res,[status(thm),theory(equality)],[13,10]),
[iquote('0:Res:13.1,10.0')] ).
cnf(43,plain,
$false,
inference(unc,[status(thm)],[40,15]),
[iquote('0:UnC:40.0,15.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GEO035-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.10 % Command : run_spass %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Fri Jun 17 23:09:01 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.34
% 0.14/0.34 SPASS V 3.9
% 0.14/0.34 SPASS beiseite: Proof found.
% 0.14/0.34 % SZS status Theorem
% 0.14/0.34 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 SPASS derived 8 clauses, backtracked 0 clauses, performed 0 splits and kept 31 clauses.
% 0.14/0.34 SPASS allocated 63136 KBytes.
% 0.14/0.34 SPASS spent 0:00:00.05 on the problem.
% 0.14/0.34 0:00:00.03 for the input.
% 0.14/0.34 0:00:00.00 for the FLOTTER CNF translation.
% 0.14/0.34 0:00:00.00 for inferences.
% 0.14/0.34 0:00:00.00 for the backtracking.
% 0.14/0.34 0:00:00.00 for the reduction.
% 0.14/0.34
% 0.14/0.34
% 0.14/0.34 Here is a proof with depth 1, length 5 :
% 0.14/0.34 % SZS output start Refutation
% See solution above
% 0.14/0.34 Formulae used in the proof : prove_null_extension identity_for_equidistance segment_construction2
% 0.14/0.34
%------------------------------------------------------------------------------