%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO253+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 06:23:57 EDT 2022
% Result : Theorem 0.23s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 1 nHn; 5 RR)
% Number of literals : 7 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
apart_point_and_line(skc5,skc4),
file('GEO253+1.p',unknown),
[] ).
cnf(6,axiom,
~ left_apart_point(u,v),
file('GEO253+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ apart_point_and_line(u,v)
| left_apart_point(u,v)
| left_apart_point(u,reverse_line(v)) ),
file('GEO253+1.p',unknown),
[] ).
cnf(61,plain,
~ apart_point_and_line(u,v),
inference(mrr,[status(thm)],[34,6]),
[iquote('0:MRR:34.1,34.2,6.0,6.0')] ).
cnf(62,plain,
$false,
inference(unc,[status(thm)],[61,1]),
[iquote('0:UnC:61.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO253+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Fri Jun 17 20:28:14 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.23/0.48
% 0.23/0.48 SPASS V 3.9
% 0.23/0.48 SPASS beiseite: Proof found.
% 0.23/0.48 % SZS status Theorem
% 0.23/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.48 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 28 clauses.
% 0.23/0.48 SPASS allocated 97785 KBytes.
% 0.23/0.48 SPASS spent 0:00:00.10 on the problem.
% 0.23/0.48 0:00:00.04 for the input.
% 0.23/0.48 0:00:00.04 for the FLOTTER CNF translation.
% 0.23/0.48 0:00:00.00 for inferences.
% 0.23/0.48 0:00:00.00 for the backtracking.
% 0.23/0.48 0:00:00.00 for the reduction.
% 0.23/0.48
% 0.23/0.48
% 0.23/0.48 Here is a proof with depth 0, length 5 :
% 0.23/0.48 % SZS output start Refutation
% See solution above
% 0.23/0.48 Formulae used in the proof : con oag10 apt_def
% 0.23/0.48
%------------------------------------------------------------------------------