%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO262+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 06:24:02 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 4 unt; 1 nHn; 9 RR)
% Number of literals : 16 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 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,
convergent_lines(skc11,skc8),
file('GEO262+1.p',unknown),
[] ).
cnf(10,axiom,
~ left_convergent_lines(u,v),
file('GEO262+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ convergent_lines(u,v)
| unequally_directed_lines(u,v) ),
file('GEO262+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ convergent_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO262+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v))
| left_convergent_lines(u,v)
| left_convergent_lines(u,reverse_line(v)) ),
file('GEO262+1.p',unknown),
[] ).
cnf(66,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[59,10]),
[iquote('0:MRR:59.2,59.3,10.0,10.0')] ).
cnf(105,plain,
( ~ convergent_lines(u,v)
| ~ unequally_directed_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[20,66]),
[iquote('0:Res:20.1,66.1')] ).
cnf(110,plain,
~ convergent_lines(u,v),
inference(mrr,[status(thm)],[105,17]),
[iquote('0:MRR:105.1,17.1')] ).
cnf(111,plain,
$false,
inference(unc,[status(thm)],[110,1]),
[iquote('0:UnC:110.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO262+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 12:51:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 34 clauses, backtracked 0 clauses, performed 2 splits and kept 79 clauses.
% 0.19/0.45 SPASS allocated 97783 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 1, length 9 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : con oag11 con_def oag9
% 0.19/0.45
%------------------------------------------------------------------------------