%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO234+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 06:23:46 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 7 unt; 3 nHn; 15 RR)
% Number of literals : 26 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
unequally_directed_lines(skc5,reverse_line(skc3)),
file('GEO234+1.p',unknown),
[] ).
cnf(2,axiom,
~ unequally_directed_lines(skc5,skc4),
file('GEO234+1.p',unknown),
[] ).
cnf(7,axiom,
~ left_convergent_lines(u,v),
file('GEO234+1.p',unknown),
[] ).
cnf(8,axiom,
~ unequally_directed_lines(skc3,reverse_line(skc4)),
file('GEO234+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
file('GEO234+1.p',unknown),
[] ).
cnf(55,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('GEO234+1.p',unknown),
[] ).
cnf(62,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[55,7]),
[iquote('0:MRR:55.2,55.3,7.0,7.0')] ).
cnf(68,plain,
( ~ unequally_directed_lines(skc5,u)
| unequally_directed_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[27,2]),
[iquote('0:Res:27.1,2.0')] ).
cnf(70,plain,
~ unequally_directed_lines(skc5,skc3),
inference(res,[status(thm),theory(equality)],[1,62]),
[iquote('0:Res:1.0,62.1')] ).
cnf(72,plain,
( unequally_directed_lines(skc5,u)
| unequally_directed_lines(reverse_line(skc3),u) ),
inference(res,[status(thm),theory(equality)],[1,27]),
[iquote('0:Res:1.0,27.0')] ).
cnf(80,plain,
( ~ unequally_directed_lines(u,skc3)
| unequally_directed_lines(u,reverse_line(skc4)) ),
inference(res,[status(thm),theory(equality)],[27,8]),
[iquote('0:Res:27.2,8.0')] ).
cnf(81,plain,
unequally_directed_lines(reverse_line(skc3),skc4),
inference(res,[status(thm),theory(equality)],[1,68]),
[iquote('0:Res:1.0,68.0')] ).
cnf(116,plain,
( ~ unequally_directed_lines(u,skc3)
| ~ unequally_directed_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[80,62]),
[iquote('0:Res:80.1,62.1')] ).
cnf(122,plain,
( ~ unequally_directed_lines(reverse_line(skc3),skc4)
| unequally_directed_lines(skc5,skc3) ),
inference(res,[status(thm),theory(equality)],[72,116]),
[iquote('0:Res:72.1,116.0')] ).
cnf(123,plain,
$false,
inference(mrr,[status(thm)],[122,81,70]),
[iquote('0:MRR:122.0,122.1,81.0,70.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO234+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 06:19:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45
% 0.18/0.45 SPASS V 3.9
% 0.18/0.45 SPASS beiseite: Proof found.
% 0.18/0.45 % SZS status Theorem
% 0.18/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 SPASS derived 51 clauses, backtracked 0 clauses, performed 0 splits and kept 76 clauses.
% 0.18/0.45 SPASS allocated 97773 KBytes.
% 0.18/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.18/0.45 0:00:00.04 for the input.
% 0.18/0.45 0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.45 0:00:00.00 for inferences.
% 0.18/0.45 0:00:00.00 for the backtracking.
% 0.18/0.45 0:00:00.00 for the reduction.
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 Here is a proof with depth 3, length 15 :
% 0.18/0.45 % SZS output start Refutation
% See solution above
% 0.18/0.45 Formulae used in the proof : con oag11 oag6 oag9
% 0.18/0.45
%------------------------------------------------------------------------------