TSTP Solution File: GEO255+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO255+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 06:23:58 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 11 unt; 12 nHn; 26 RR)
% Number of literals : 51 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
line(skc5),
file('GEO255+1.p',unknown),
[] ).
cnf(3,axiom,
before_on_line(skc5,skc3,skc4),
file('GEO255+1.p',unknown),
[] ).
cnf(4,axiom,
before_on_line(skc5,skc4,skc3),
file('GEO255+1.p',unknown),
[] ).
cnf(7,axiom,
~ unequally_directed_lines(u,u),
file('GEO255+1.p',unknown),
[] ).
cnf(9,axiom,
~ left_convergent_lines(u,v),
file('GEO255+1.p',unknown),
[] ).
cnf(23,axiom,
~ unequally_directed_lines(line_connecting(u,v),reverse_line(line_connecting(v,u))),
file('GEO255+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
file('GEO255+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ unequally_directed_lines(u,line_connecting(v,w))
| ~ before_on_line(u,v,w) ),
file('GEO255+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ line(u)
| ~ line(v)
| unequally_directed_lines(v,u)
| unequally_directed_lines(v,reverse_line(u)) ),
file('GEO255+1.p',unknown),
[] ).
cnf(56,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('GEO255+1.p',unknown),
[] ).
cnf(63,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[56,9]),
[iquote('0:MRR:56.2,56.3,9.0,9.0')] ).
cnf(69,plain,
( ~ line(u)
| unequally_directed_lines(u,skc5)
| unequally_directed_lines(u,reverse_line(skc5)) ),
inference(res,[status(thm),theory(equality)],[1,45]),
[iquote('0:Res:1.0,45.1')] ).
cnf(76,plain,
~ unequally_directed_lines(skc5,line_connecting(skc4,skc3)),
inference(res,[status(thm),theory(equality)],[4,37]),
[iquote('0:Res:4.0,37.1')] ).
cnf(82,plain,
~ unequally_directed_lines(skc5,line_connecting(skc3,skc4)),
inference(res,[status(thm),theory(equality)],[3,37]),
[iquote('0:Res:3.0,37.1')] ).
cnf(86,plain,
( unequally_directed_lines(skc5,skc5)
| unequally_directed_lines(skc5,reverse_line(skc5)) ),
inference(res,[status(thm),theory(equality)],[1,69]),
[iquote('0:Res:1.0,69.0')] ).
cnf(96,plain,
unequally_directed_lines(skc5,reverse_line(skc5)),
inference(mrr,[status(thm)],[86,7]),
[iquote('0:MRR:86.0,7.0')] ).
cnf(154,plain,
( unequally_directed_lines(reverse_line(skc5),u)
| unequally_directed_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[96,28]),
[iquote('0:Res:96.0,28.0')] ).
cnf(157,plain,
( unequally_directed_lines(skc5,u)
| unequally_directed_lines(u,v)
| unequally_directed_lines(reverse_line(skc5),v) ),
inference(res,[status(thm),theory(equality)],[154,28]),
[iquote('0:Res:154.0,28.0')] ).
cnf(158,plain,
( ~ unequally_directed_lines(reverse_line(skc5),u)
| unequally_directed_lines(skc5,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[154,63]),
[iquote('0:Res:154.0,63.1')] ).
cnf(159,plain,
( unequally_directed_lines(skc5,u)
| unequally_directed_lines(skc5,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[154,158]),
[iquote('0:Res:154.0,158.0')] ).
cnf(255,plain,
( unequally_directed_lines(skc5,u)
| unequally_directed_lines(u,v)
| unequally_directed_lines(skc5,reverse_line(v)) ),
inference(res,[status(thm),theory(equality)],[157,158]),
[iquote('0:Res:157.2,158.0')] ).
cnf(313,plain,
( ~ unequally_directed_lines(skc5,u)
| unequally_directed_lines(skc5,v)
| unequally_directed_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[255,63]),
[iquote('0:Res:255.2,63.1')] ).
cnf(332,plain,
( unequally_directed_lines(skc5,u)
| unequally_directed_lines(skc5,v)
| unequally_directed_lines(v,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[159,313]),
[iquote('0:Res:159.1,313.0')] ).
cnf(425,plain,
( unequally_directed_lines(skc5,line_connecting(u,v))
| unequally_directed_lines(skc5,line_connecting(v,u)) ),
inference(res,[status(thm),theory(equality)],[332,23]),
[iquote('0:Res:332.2,23.0')] ).
cnf(496,plain,
unequally_directed_lines(skc5,line_connecting(skc4,skc3)),
inference(res,[status(thm),theory(equality)],[425,82]),
[iquote('0:Res:425.1,82.0')] ).
cnf(502,plain,
$false,
inference(mrr,[status(thm)],[496,76]),
[iquote('0:MRR:496.0,76.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO255+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n024.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 16:09:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47
% 0.19/0.47 SPASS V 3.9
% 0.19/0.47 SPASS beiseite: Proof found.
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 SPASS derived 377 clauses, backtracked 1 clauses, performed 1 splits and kept 196 clauses.
% 0.19/0.47 SPASS allocated 97903 KBytes.
% 0.19/0.47 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.47 0:00:00.03 for the input.
% 0.19/0.47 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.47 0:00:00.01 for inferences.
% 0.19/0.47 0:00:00.00 for the backtracking.
% 0.19/0.47 0:00:00.02 for the reduction.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Here is a proof with depth 9, length 26 :
% 0.19/0.47 % SZS output start Refutation
% See solution above
% 0.19/0.47 Formulae used in the proof : con oag5 oag11 oagco9 oag6 bf_def oag8 oag9
% 0.19/0.47
%------------------------------------------------------------------------------