%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO266+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 16 unt; 12 nHn; 34 RR)
% Number of literals : 57 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equally_directed_lines(u,u),
file('GEO266+3.p',unknown),
[] ).
cnf(5,axiom,
~ left_convergent_lines(u,v),
file('GEO266+3.p',unknown),
[] ).
cnf(8,axiom,
( unequally_directed_opposite_lines(skc3,skc2)
| unequally_directed_opposite_lines(skc2,skc3) ),
file('GEO266+3.p',unknown),
[] ).
cnf(18,axiom,
( unequally_directed_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO266+3.p',unknown),
[] ).
cnf(19,axiom,
( ~ unequally_directed_opposite_lines(skc3,skc2)
| ~ unequally_directed_opposite_lines(skc2,skc3) ),
file('GEO266+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ unequally_directed_opposite_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO266+3.p',unknown),
[] ).
cnf(21,axiom,
( ~ unequally_directed_lines(u,reverse_line(v))
| unequally_directed_opposite_lines(u,v) ),
file('GEO266+3.p',unknown),
[] ).
cnf(26,axiom,
( ~ unequally_directed_lines(u,v)
| ~ equally_directed_lines(u,v) ),
file('GEO266+3.p',unknown),
[] ).
cnf(36,axiom,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
file('GEO266+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('GEO266+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_opposite_lines(skc3,skc2),
inference(spt,[spt(split,[position(s1)])],[8]),
[iquote('1:Spt:8.0')] ).
cnf(77,plain,
~ unequally_directed_opposite_lines(skc2,skc3),
inference(mrr,[status(thm)],[19,76]),
[iquote('1:MRR:19.0,76.0')] ).
cnf(86,plain,
~ unequally_directed_lines(u,u),
inference(res,[status(thm),theory(equality)],[1,26]),
[iquote('0:Res:1.0,26.1')] ).
cnf(91,plain,
unequally_directed_lines(reverse_line(u),u),
inference(res,[status(thm),theory(equality)],[18,86]),
[iquote('0:Res:18.1,86.0')] ).
cnf(166,plain,
( ~ unequally_directed_opposite_lines(u,v)
| unequally_directed_lines(reverse_line(v),w)
| unequally_directed_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[20,36]),
[iquote('0:Res:20.1,36.0')] ).
cnf(167,plain,
( unequally_directed_lines(u,v)
| unequally_directed_lines(reverse_line(v),w)
| unequally_directed_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[18,36]),
[iquote('0:Res:18.1,36.0')] ).
cnf(168,plain,
( unequally_directed_lines(u,v)
| unequally_directed_lines(reverse_line(u),v) ),
inference(res,[status(thm),theory(equality)],[91,36]),
[iquote('0:Res:91.0,36.0')] ).
cnf(175,plain,
( ~ unequally_directed_lines(reverse_line(u),v)
| unequally_directed_lines(u,reverse_line(v)) ),
inference(res,[status(thm),theory(equality)],[168,71]),
[iquote('0:Res:168.1,71.1')] ).
cnf(416,plain,
( unequally_directed_lines(u,v)
| unequally_directed_lines(reverse_line(v),u) ),
inference(res,[status(thm),theory(equality)],[167,86]),
[iquote('0:Res:167.2,86.0')] ).
cnf(434,plain,
( unequally_directed_lines(u,v)
| unequally_directed_lines(v,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[416,175]),
[iquote('0:Res:416.1,175.0')] ).
cnf(438,plain,
( unequally_directed_lines(u,v)
| unequally_directed_opposite_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[434,21]),
[iquote('0:Res:434.1,21.0')] ).
cnf(484,plain,
( unequally_directed_lines(reverse_line(skc2),u)
| unequally_directed_lines(skc3,u) ),
inference(res,[status(thm),theory(equality)],[76,166]),
[iquote('1:Res:76.0,166.0')] ).
cnf(509,plain,
unequally_directed_lines(skc3,reverse_line(skc2)),
inference(res,[status(thm),theory(equality)],[484,86]),
[iquote('1:Res:484.0,86.0')] ).
cnf(514,plain,
~ unequally_directed_lines(skc3,skc2),
inference(res,[status(thm),theory(equality)],[509,71]),
[iquote('1:Res:509.0,71.1')] ).
cnf(516,plain,
unequally_directed_opposite_lines(skc2,skc3),
inference(res,[status(thm),theory(equality)],[438,514]),
[iquote('1:Res:438.0,514.0')] ).
cnf(518,plain,
$false,
inference(mrr,[status(thm)],[516,77]),
[iquote('1:MRR:516.0,77.0')] ).
cnf(519,plain,
~ unequally_directed_opposite_lines(skc3,skc2),
inference(spt,[spt(split,[position(sa)])],[518,76]),
[iquote('1:Spt:518.0,8.0,76.0')] ).
cnf(520,plain,
unequally_directed_opposite_lines(skc2,skc3),
inference(spt,[spt(split,[position(s2)])],[8]),
[iquote('1:Spt:518.0,8.1')] ).
cnf(521,plain,
( unequally_directed_lines(reverse_line(skc3),u)
| unequally_directed_lines(skc2,u) ),
inference(res,[status(thm),theory(equality)],[520,166]),
[iquote('1:Res:520.0,166.0')] ).
cnf(530,plain,
unequally_directed_lines(skc2,reverse_line(skc3)),
inference(res,[status(thm),theory(equality)],[521,86]),
[iquote('1:Res:521.0,86.0')] ).
cnf(535,plain,
~ unequally_directed_lines(skc2,skc3),
inference(res,[status(thm),theory(equality)],[530,71]),
[iquote('1:Res:530.0,71.1')] ).
cnf(537,plain,
unequally_directed_opposite_lines(skc3,skc2),
inference(res,[status(thm),theory(equality)],[438,535]),
[iquote('1:Res:438.0,535.0')] ).
cnf(539,plain,
$false,
inference(mrr,[status(thm)],[537,519]),
[iquote('1:MRR:537.0,519.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO266+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.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 04:48:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.46
% 0.19/0.46 SPASS V 3.9
% 0.19/0.46 SPASS beiseite: Proof found.
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 SPASS derived 456 clauses, backtracked 3 clauses, performed 1 splits and kept 272 clauses.
% 0.19/0.46 SPASS allocated 97913 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.46 0:00:00.04 for the input.
% 0.19/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.46 0:00:00.01 for inferences.
% 0.19/0.46 0:00:00.00 for the backtracking.
% 0.19/0.46 0:00:00.02 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 7, length 34 :
% 0.19/0.46 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : ax5_basics ax11_basics con ax8_basics a1_defns a4_defns ax6_basics ax9_basics
% 0.19/0.46
%------------------------------------------------------------------------------