TSTP Solution File: GEO260+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO260+1 : TPTP v8.1.0. Bugfixed v8.1.0.
% 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 06:24:01 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 9 unt; 13 nHn; 24 RR)
% Number of literals : 49 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
line(skc7),
file('GEO260+1.p',unknown),
[] ).
cnf(7,axiom,
~ unequally_directed_lines(u,u),
file('GEO260+1.p',unknown),
[] ).
cnf(9,axiom,
~ left_convergent_lines(u,v),
file('GEO260+1.p',unknown),
[] ).
cnf(25,axiom,
~ unequally_directed_lines(line_connecting(u,v),reverse_line(line_connecting(v,u))),
file('GEO260+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
file('GEO260+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ line(u)
| ~ line(v)
| unequally_directed_lines(v,u)
| unequally_directed_lines(v,reverse_line(u)) ),
file('GEO260+1.p',unknown),
[] ).
cnf(58,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('GEO260+1.p',unknown),
[] ).
cnf(65,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[58,9]),
[iquote('0:MRR:58.2,58.3,9.0,9.0')] ).
cnf(71,plain,
( ~ line(u)
| unequally_directed_lines(u,skc7)
| unequally_directed_lines(u,reverse_line(skc7)) ),
inference(res,[status(thm),theory(equality)],[1,47]),
[iquote('0:Res:1.0,47.1')] ).
cnf(92,plain,
( unequally_directed_lines(skc7,skc7)
| unequally_directed_lines(skc7,reverse_line(skc7)) ),
inference(res,[status(thm),theory(equality)],[1,71]),
[iquote('0:Res:1.0,71.0')] ).
cnf(94,plain,
unequally_directed_lines(skc7,reverse_line(skc7)),
inference(mrr,[status(thm)],[92,7]),
[iquote('0:MRR:92.0,7.0')] ).
cnf(164,plain,
( unequally_directed_lines(reverse_line(skc7),u)
| unequally_directed_lines(skc7,u) ),
inference(res,[status(thm),theory(equality)],[94,30]),
[iquote('0:Res:94.0,30.0')] ).
cnf(169,plain,
( unequally_directed_lines(skc7,u)
| unequally_directed_lines(u,v)
| unequally_directed_lines(reverse_line(skc7),v) ),
inference(res,[status(thm),theory(equality)],[164,30]),
[iquote('0:Res:164.0,30.0')] ).
cnf(170,plain,
( ~ unequally_directed_lines(reverse_line(skc7),u)
| unequally_directed_lines(skc7,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[164,65]),
[iquote('0:Res:164.0,65.1')] ).
cnf(171,plain,
( unequally_directed_lines(skc7,u)
| unequally_directed_lines(skc7,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[164,170]),
[iquote('0:Res:164.0,170.0')] ).
cnf(364,plain,
( unequally_directed_lines(skc7,u)
| unequally_directed_lines(u,v)
| unequally_directed_lines(skc7,reverse_line(v)) ),
inference(res,[status(thm),theory(equality)],[169,170]),
[iquote('0:Res:169.2,170.0')] ).
cnf(420,plain,
( ~ unequally_directed_lines(skc7,u)
| unequally_directed_lines(skc7,v)
| unequally_directed_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[364,65]),
[iquote('0:Res:364.2,65.1')] ).
cnf(428,plain,
( unequally_directed_lines(skc7,u)
| unequally_directed_lines(skc7,v)
| unequally_directed_lines(v,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[171,420]),
[iquote('0:Res:171.1,420.0')] ).
cnf(543,plain,
( unequally_directed_lines(skc7,line_connecting(u,v))
| unequally_directed_lines(skc7,line_connecting(v,u)) ),
inference(res,[status(thm),theory(equality)],[428,25]),
[iquote('0:Res:428.2,25.0')] ).
cnf(616,plain,
unequally_directed_lines(skc7,line_connecting(u,u)),
inference(fac,[status(thm)],[543]),
[iquote('0:Fac:543.0,543.1')] ).
cnf(624,plain,
( unequally_directed_lines(line_connecting(u,u),v)
| unequally_directed_lines(skc7,v) ),
inference(res,[status(thm),theory(equality)],[616,30]),
[iquote('0:Res:616.0,30.0')] ).
cnf(650,plain,
unequally_directed_lines(skc7,reverse_line(line_connecting(u,u))),
inference(res,[status(thm),theory(equality)],[624,25]),
[iquote('0:Res:624.0,25.0')] ).
cnf(659,plain,
~ unequally_directed_lines(skc7,line_connecting(u,u)),
inference(res,[status(thm),theory(equality)],[650,65]),
[iquote('0:Res:650.0,65.1')] ).
cnf(660,plain,
$false,
inference(mrr,[status(thm)],[659,616]),
[iquote('0:MRR:659.0,616.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO260+1 : TPTP v8.1.0. Bugfixed v8.1.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 05:16:42 EDT 2022
% 0.13/0.33 % 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 538 clauses, backtracked 1 clauses, performed 3 splits and kept 332 clauses.
% 0.19/0.49 SPASS allocated 98044 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.03 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 0:00:00.05 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 12, length 24 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : con oag5 oag11 oagco9 oag6 oag8 oag9
% 0.19/0.49
%------------------------------------------------------------------------------