TSTP Solution File: GEO268+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 06:24:04 EDT 2022
% Result : Theorem 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 11 unt; 4 nHn; 20 RR)
% Number of literals : 31 ( 0 equ; 15 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(5,axiom,
~ left_convergent_lines(u,v),
file('GEO268+3.p',unknown),
[] ).
cnf(12,axiom,
( unequally_directed_lines(skc2,skc3)
| unequally_directed_opposite_lines(skc2,reverse_line(skc3)) ),
file('GEO268+3.p',unknown),
[] ).
cnf(18,axiom,
( unequally_directed_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO268+3.p',unknown),
[] ).
cnf(19,axiom,
( ~ unequally_directed_opposite_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO268+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ unequally_directed_lines(u,reverse_line(v))
| unequally_directed_opposite_lines(u,v) ),
file('GEO268+3.p',unknown),
[] ).
cnf(31,axiom,
( ~ unequally_directed_lines(skc2,skc3)
| ~ unequally_directed_opposite_lines(skc2,reverse_line(skc3)) ),
file('GEO268+3.p',unknown),
[] ).
cnf(62,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('GEO268+3.p',unknown),
[] ).
cnf(71,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[62,5]),
[iquote('0:MRR:62.2,62.3,5.0,5.0')] ).
cnf(76,plain,
unequally_directed_lines(skc2,skc3),
inference(spt,[spt(split,[position(s1)])],[12]),
[iquote('1:Spt:12.0')] ).
cnf(77,plain,
~ unequally_directed_opposite_lines(skc2,reverse_line(skc3)),
inference(mrr,[status(thm)],[31,76]),
[iquote('1:MRR:31.0,76.0')] ).
cnf(80,plain,
( unequally_directed_lines(u,v)
| unequally_directed_opposite_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[18,20]),
[iquote('0:Res:18.1,20.0')] ).
cnf(84,plain,
unequally_directed_lines(skc2,reverse_line(skc3)),
inference(res,[status(thm),theory(equality)],[80,77]),
[iquote('1:Res:80.1,77.0')] ).
cnf(111,plain,
( ~ unequally_directed_opposite_lines(u,v)
| ~ unequally_directed_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[19,71]),
[iquote('0:Res:19.1,71.1')] ).
cnf(113,plain,
~ unequally_directed_lines(skc2,skc3),
inference(res,[status(thm),theory(equality)],[84,71]),
[iquote('1:Res:84.0,71.1')] ).
cnf(117,plain,
$false,
inference(mrr,[status(thm)],[113,76]),
[iquote('1:MRR:113.0,76.0')] ).
cnf(119,plain,
~ unequally_directed_lines(skc2,skc3),
inference(spt,[spt(split,[position(sa)])],[117,76]),
[iquote('1:Spt:117.0,12.0,76.0')] ).
cnf(120,plain,
unequally_directed_opposite_lines(skc2,reverse_line(skc3)),
inference(spt,[spt(split,[position(s2)])],[12]),
[iquote('1:Spt:117.0,12.1')] ).
cnf(148,plain,
~ unequally_directed_lines(skc2,reverse_line(skc3)),
inference(res,[status(thm),theory(equality)],[120,111]),
[iquote('1:Res:120.0,111.0')] ).
cnf(151,plain,
unequally_directed_lines(skc2,skc3),
inference(res,[status(thm),theory(equality)],[18,148]),
[iquote('1:Res:18.1,148.0')] ).
cnf(152,plain,
$false,
inference(mrr,[status(thm)],[151,119]),
[iquote('1:MRR:151.0,119.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n005.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 12:20:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44
% 0.18/0.44 SPASS V 3.9
% 0.18/0.44 SPASS beiseite: Proof found.
% 0.18/0.44 % SZS status Theorem
% 0.18/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 SPASS derived 72 clauses, backtracked 3 clauses, performed 1 splits and kept 106 clauses.
% 0.18/0.44 SPASS allocated 97777 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.10 on the problem.
% 0.18/0.44 0:00:00.04 for the input.
% 0.18/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44 0:00:00.00 for inferences.
% 0.18/0.44 0:00:00.00 for the backtracking.
% 0.18/0.44 0:00:00.00 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 3, length 20 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.44 Formulae used in the proof : ax11_basics con ax8_basics a1_defns ax9_basics
% 0.18/0.44
%------------------------------------------------------------------------------