%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO231+3 : TPTP v8.1.0. Released v4.0.0.
% 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 06:23:44 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 35 ( 16 unt; 11 nHn; 35 RR)
% Number of literals : 59 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 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,
equally_directed_opposite_lines(skc5,skc3),
file('GEO231+3.p',unknown),
[] ).
cnf(2,axiom,
equally_directed_lines(skc5,skc4),
file('GEO231+3.p',unknown),
[] ).
cnf(3,axiom,
equally_directed_lines(u,u),
file('GEO231+3.p',unknown),
[] ).
cnf(4,axiom,
~ equally_directed_opposite_lines(skc3,skc4),
file('GEO231+3.p',unknown),
[] ).
cnf(8,axiom,
~ left_convergent_lines(u,v),
file('GEO231+3.p',unknown),
[] ).
cnf(11,axiom,
( equally_directed_lines(u,v)
| unequally_directed_lines(u,v) ),
file('GEO231+3.p',unknown),
[] ).
cnf(12,axiom,
( equally_directed_opposite_lines(u,v)
| unequally_directed_opposite_lines(u,v) ),
file('GEO231+3.p',unknown),
[] ).
cnf(20,axiom,
( unequally_directed_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO231+3.p',unknown),
[] ).
cnf(21,axiom,
( ~ unequally_directed_opposite_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO231+3.p',unknown),
[] ).
cnf(22,axiom,
( ~ unequally_directed_lines(u,reverse_line(v))
| unequally_directed_opposite_lines(u,v) ),
file('GEO231+3.p',unknown),
[] ).
cnf(27,axiom,
( ~ unequally_directed_lines(u,v)
| ~ equally_directed_lines(u,v) ),
file('GEO231+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ unequally_directed_opposite_lines(u,v)
| ~ equally_directed_opposite_lines(u,v) ),
file('GEO231+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
file('GEO231+3.p',unknown),
[] ).
cnf(63,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('GEO231+3.p',unknown),
[] ).
cnf(72,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[63,8]),
[iquote('0:MRR:63.2,63.3,8.0,8.0')] ).
cnf(74,plain,
~ unequally_directed_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[2,27]),
[iquote('0:Res:2.0,27.0')] ).
cnf(75,plain,
~ unequally_directed_opposite_lines(skc5,skc3),
inference(res,[status(thm),theory(equality)],[1,28]),
[iquote('0:Res:1.0,28.0')] ).
cnf(76,plain,
unequally_directed_opposite_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[12,4]),
[iquote('0:Res:12.1,4.0')] ).
cnf(84,plain,
( unequally_directed_lines(u,v)
| unequally_directed_opposite_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[20,22]),
[iquote('0:Res:20.1,22.0')] ).
cnf(90,plain,
( ~ equally_directed_lines(u,v)
| unequally_directed_opposite_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[84,27]),
[iquote('0:Res:84.0,27.0')] ).
cnf(93,plain,
( ~ equally_directed_lines(u,reverse_line(v))
| unequally_directed_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[20,27]),
[iquote('0:Res:20.1,27.0')] ).
cnf(95,plain,
~ equally_directed_lines(skc5,skc3),
inference(res,[status(thm),theory(equality)],[90,75]),
[iquote('0:Res:90.1,75.0')] ).
cnf(96,plain,
unequally_directed_lines(reverse_line(u),u),
inference(res,[status(thm),theory(equality)],[3,93]),
[iquote('0:Res:3.0,93.0')] ).
cnf(161,plain,
( equally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[11,37]),
[iquote('0:Res:11.1,37.0')] ).
cnf(162,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)],[21,37]),
[iquote('0:Res:21.1,37.0')] ).
cnf(164,plain,
( unequally_directed_lines(u,v)
| unequally_directed_lines(reverse_line(u),v) ),
inference(res,[status(thm),theory(equality)],[96,37]),
[iquote('0:Res:96.0,37.0')] ).
cnf(182,plain,
( ~ equally_directed_lines(reverse_line(u),v)
| unequally_directed_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[164,27]),
[iquote('0:Res:164.1,27.0')] ).
cnf(199,plain,
unequally_directed_lines(u,reverse_line(u)),
inference(res,[status(thm),theory(equality)],[3,182]),
[iquote('0:Res:3.0,182.0')] ).
cnf(208,plain,
~ unequally_directed_lines(u,u),
inference(res,[status(thm),theory(equality)],[199,72]),
[iquote('0:Res:199.0,72.1')] ).
cnf(424,plain,
( equally_directed_lines(skc5,u)
| unequally_directed_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[161,74]),
[iquote('0:Res:161.2,74.0')] ).
cnf(496,plain,
( unequally_directed_lines(reverse_line(skc4),u)
| unequally_directed_lines(skc3,u) ),
inference(res,[status(thm),theory(equality)],[76,162]),
[iquote('0:Res:76.0,162.0')] ).
cnf(576,plain,
unequally_directed_lines(skc3,reverse_line(skc4)),
inference(res,[status(thm),theory(equality)],[496,208]),
[iquote('0:Res:496.0,208.0')] ).
cnf(583,plain,
~ unequally_directed_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[576,72]),
[iquote('0:Res:576.0,72.1')] ).
cnf(588,plain,
equally_directed_lines(skc5,skc3),
inference(res,[status(thm),theory(equality)],[424,583]),
[iquote('0:Res:424.1,583.0')] ).
cnf(591,plain,
$false,
inference(mrr,[status(thm)],[588,95]),
[iquote('0:MRR:588.0,95.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO231+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n028.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 : Fri Jun 17 18:57:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 510 clauses, backtracked 0 clauses, performed 0 splits and kept 288 clauses.
% 0.19/0.49 SPASS allocated 97952 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.01 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.02 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 9, length 35 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : con ax5_basics ax11_basics a4_defns a5_defns ax8_basics a1_defns ax6_basics ax9_basics
% 0.19/0.49
%------------------------------------------------------------------------------