TSTP Solution File: GEO255+3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO255+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 0.74s 0.95s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 41 ( 16 unt; 12 nHn; 41 RR)
% Number of literals : 71 ( 0 equ; 26 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 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,
equally_directed_lines(u,u),
file('GEO255+3.p',unknown),
[] ).
cnf(2,axiom,
before_on_line(skc3,skc4,skc5),
file('GEO255+3.p',unknown),
[] ).
cnf(3,axiom,
before_on_line(skc3,skc5,skc4),
file('GEO255+3.p',unknown),
[] ).
cnf(7,axiom,
~ left_convergent_lines(u,v),
file('GEO255+3.p',unknown),
[] ).
cnf(19,axiom,
( unequally_directed_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO255+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ unequally_directed_opposite_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO255+3.p',unknown),
[] ).
cnf(21,axiom,
( ~ unequally_directed_lines(u,reverse_line(v))
| unequally_directed_opposite_lines(u,v) ),
file('GEO255+3.p',unknown),
[] ).
cnf(26,axiom,
( ~ unequally_directed_lines(u,v)
| ~ equally_directed_lines(u,v) ),
file('GEO255+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ before_on_line(u,v,w)
| distinct_points(v,w) ),
file('GEO255+3.p',unknown),
[] ).
cnf(33,axiom,
( ~ before_on_line(u,v,w)
| equally_directed_lines(u,line_connecting(v,w)) ),
file('GEO255+3.p',unknown),
[] ).
cnf(36,axiom,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
file('GEO255+3.p',unknown),
[] ).
cnf(51,axiom,
( ~ distinct_points(u,v)
| equally_directed_lines(line_connecting(u,v),reverse_line(line_connecting(v,u))) ),
file('GEO255+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('GEO255+3.p',unknown),
[] ).
cnf(71,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[62,7]),
[iquote('0:MRR:62.2,62.3,7.0,7.0')] ).
cnf(75,plain,
equally_directed_lines(skc3,line_connecting(skc5,skc4)),
inference(res,[status(thm),theory(equality)],[3,33]),
[iquote('0:Res:3.0,33.0')] ).
cnf(83,plain,
equally_directed_lines(skc3,line_connecting(skc4,skc5)),
inference(res,[status(thm),theory(equality)],[2,33]),
[iquote('0:Res:2.0,33.0')] ).
cnf(84,plain,
distinct_points(skc4,skc5),
inference(res,[status(thm),theory(equality)],[2,28]),
[iquote('0:Res:2.0,28.0')] ).
cnf(101,plain,
( unequally_directed_lines(u,v)
| unequally_directed_opposite_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[19,21]),
[iquote('0:Res:19.1,21.0')] ).
cnf(106,plain,
~ unequally_directed_lines(u,u),
inference(res,[status(thm),theory(equality)],[1,26]),
[iquote('0:Res:1.0,26.1')] ).
cnf(108,plain,
~ unequally_directed_lines(skc3,line_connecting(skc4,skc5)),
inference(res,[status(thm),theory(equality)],[83,26]),
[iquote('0:Res:83.0,26.1')] ).
cnf(109,plain,
~ unequally_directed_lines(skc3,line_connecting(skc5,skc4)),
inference(res,[status(thm),theory(equality)],[75,26]),
[iquote('0:Res:75.0,26.1')] ).
cnf(113,plain,
unequally_directed_lines(reverse_line(u),u),
inference(res,[status(thm),theory(equality)],[19,106]),
[iquote('0:Res:19.1,106.0')] ).
cnf(137,plain,
( ~ unequally_directed_opposite_lines(u,v)
| ~ unequally_directed_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[20,71]),
[iquote('0:Res:20.1,71.1')] ).
cnf(140,plain,
~ unequally_directed_lines(reverse_line(reverse_line(u)),u),
inference(res,[status(thm),theory(equality)],[113,71]),
[iquote('0:Res:113.0,71.1')] ).
cnf(192,plain,
( unequally_directed_opposite_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[101,36]),
[iquote('0:Res:101.0,36.0')] ).
cnf(194,plain,
( unequally_directed_lines(u,v)
| unequally_directed_lines(reverse_line(v),w)
| unequally_directed_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[19,36]),
[iquote('0:Res:19.1,36.0')] ).
cnf(195,plain,
( unequally_directed_lines(u,v)
| unequally_directed_lines(reverse_line(u),v) ),
inference(res,[status(thm),theory(equality)],[113,36]),
[iquote('0:Res:113.0,36.0')] ).
cnf(207,plain,
( ~ unequally_directed_opposite_lines(reverse_line(u),v)
| unequally_directed_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[195,137]),
[iquote('0:Res:195.1,137.1')] ).
cnf(208,plain,
( ~ unequally_directed_lines(reverse_line(u),v)
| unequally_directed_lines(u,reverse_line(v)) ),
inference(res,[status(thm),theory(equality)],[195,71]),
[iquote('0:Res:195.1,71.1')] ).
cnf(220,plain,
( ~ distinct_points(u,v)
| ~ unequally_directed_lines(line_connecting(u,v),reverse_line(line_connecting(v,u))) ),
inference(res,[status(thm),theory(equality)],[51,26]),
[iquote('0:Res:51.1,26.1')] ).
cnf(844,plain,
( unequally_directed_lines(u,v)
| unequally_directed_lines(reverse_line(v),u) ),
inference(res,[status(thm),theory(equality)],[194,106]),
[iquote('0:Res:194.2,106.0')] ).
cnf(865,plain,
( unequally_directed_lines(u,v)
| unequally_directed_lines(v,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[844,208]),
[iquote('0:Res:844.1,208.0')] ).
cnf(870,plain,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[865,71]),
[iquote('0:Res:865.1,71.1')] ).
cnf(1319,plain,
( unequally_directed_opposite_lines(u,skc3)
| unequally_directed_lines(u,line_connecting(skc4,skc5)) ),
inference(res,[status(thm),theory(equality)],[192,108]),
[iquote('0:Res:192.1,108.0')] ).
cnf(1320,plain,
( unequally_directed_opposite_lines(u,skc3)
| unequally_directed_lines(u,line_connecting(skc5,skc4)) ),
inference(res,[status(thm),theory(equality)],[192,109]),
[iquote('0:Res:192.1,109.0')] ).
cnf(1409,plain,
( unequally_directed_opposite_lines(u,skc3)
| unequally_directed_lines(line_connecting(skc4,skc5),u) ),
inference(res,[status(thm),theory(equality)],[1319,870]),
[iquote('0:Res:1319.1,870.0')] ).
cnf(2318,plain,
unequally_directed_opposite_lines(reverse_line(reverse_line(line_connecting(skc5,skc4))),skc3),
inference(res,[status(thm),theory(equality)],[1320,140]),
[iquote('0:Res:1320.1,140.0')] ).
cnf(2332,plain,
unequally_directed_lines(reverse_line(line_connecting(skc5,skc4)),skc3),
inference(res,[status(thm),theory(equality)],[2318,207]),
[iquote('0:Res:2318.0,207.0')] ).
cnf(2346,plain,
~ unequally_directed_opposite_lines(reverse_line(line_connecting(skc5,skc4)),skc3),
inference(res,[status(thm),theory(equality)],[2332,137]),
[iquote('0:Res:2332.0,137.1')] ).
cnf(2918,plain,
( ~ distinct_points(skc4,skc5)
| unequally_directed_opposite_lines(reverse_line(line_connecting(skc5,skc4)),skc3) ),
inference(res,[status(thm),theory(equality)],[1409,220]),
[iquote('0:Res:1409.1,220.1')] ).
cnf(2920,plain,
$false,
inference(mrr,[status(thm)],[2918,84,2346]),
[iquote('0:MRR:2918.0,2918.1,84.0,2346.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO255+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n025.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 : Sat Jun 18 14:47:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/0.95
% 0.74/0.95 SPASS V 3.9
% 0.74/0.95 SPASS beiseite: Proof found.
% 0.74/0.95 % SZS status Theorem
% 0.74/0.95 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/0.95 SPASS derived 2824 clauses, backtracked 0 clauses, performed 0 splits and kept 1183 clauses.
% 0.74/0.95 SPASS allocated 99117 KBytes.
% 0.74/0.95 SPASS spent 0:00:00.59 on the problem.
% 0.74/0.95 0:00:00.04 for the input.
% 0.74/0.95 0:00:00.04 for the FLOTTER CNF translation.
% 0.74/0.95 0:00:00.03 for inferences.
% 0.74/0.95 0:00:00.00 for the backtracking.
% 0.74/0.95 0:00:00.46 for the reduction.
% 0.74/0.95
% 0.74/0.95
% 0.74/0.95 Here is a proof with depth 8, length 41 :
% 0.74/0.95 % SZS output start Refutation
% See solution above
% 0.74/0.95 Formulae used in the proof : ax5_basics con ax11_basics ax8_basics a1_defns a4_defns ax4_defns ax6_basics ax9_cons_objs ax9_basics
% 0.74/0.95
%------------------------------------------------------------------------------