TSTP Solution File: GEO261+3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO261+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 06:24:02 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 23 ( 11 unt; 5 nHn; 23 RR)
% Number of literals : 38 ( 0 equ; 17 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 : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
convergent_lines(skc9,skc5),
file('GEO261+3.p',unknown),
[] ).
cnf(3,axiom,
equally_directed_lines(u,u),
file('GEO261+3.p',unknown),
[] ).
cnf(7,axiom,
~ left_convergent_lines(u,v),
file('GEO261+3.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| unequally_directed_lines(u,v) ),
file('GEO261+3.p',unknown),
[] ).
cnf(19,axiom,
( ~ convergent_lines(u,v)
| unequally_directed_opposite_lines(u,v) ),
file('GEO261+3.p',unknown),
[] ).
cnf(21,axiom,
( unequally_directed_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO261+3.p',unknown),
[] ).
cnf(22,axiom,
( ~ unequally_directed_opposite_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO261+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ unequally_directed_lines(u,v)
| ~ equally_directed_lines(u,v) ),
file('GEO261+3.p',unknown),
[] ).
cnf(38,axiom,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
file('GEO261+3.p',unknown),
[] ).
cnf(64,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('GEO261+3.p',unknown),
[] ).
cnf(73,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[64,7]),
[iquote('0:MRR:64.2,64.3,7.0,7.0')] ).
cnf(77,plain,
unequally_directed_lines(skc9,skc5),
inference(res,[status(thm),theory(equality)],[1,18]),
[iquote('0:Res:1.0,18.0')] ).
cnf(78,plain,
unequally_directed_opposite_lines(skc9,skc5),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.0,19.0')] ).
cnf(98,plain,
~ unequally_directed_lines(u,u),
inference(res,[status(thm),theory(equality)],[3,28]),
[iquote('0:Res:3.0,28.1')] ).
cnf(104,plain,
unequally_directed_lines(reverse_line(u),u),
inference(res,[status(thm),theory(equality)],[21,98]),
[iquote('0:Res:21.1,98.0')] ).
cnf(170,plain,
( unequally_directed_lines(skc5,u)
| unequally_directed_lines(skc9,u) ),
inference(res,[status(thm),theory(equality)],[77,38]),
[iquote('0:Res:77.0,38.0')] ).
cnf(175,plain,
( unequally_directed_lines(u,v)
| unequally_directed_lines(reverse_line(u),v) ),
inference(res,[status(thm),theory(equality)],[104,38]),
[iquote('0:Res:104.0,38.0')] ).
cnf(179,plain,
( ~ unequally_directed_lines(skc5,u)
| unequally_directed_lines(skc9,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[170,73]),
[iquote('0:Res:170.0,73.1')] ).
cnf(199,plain,
unequally_directed_lines(u,reverse_line(u)),
inference(res,[status(thm),theory(equality)],[175,98]),
[iquote('0:Res:175.1,98.0')] ).
cnf(212,plain,
( ~ unequally_directed_lines(skc5,u)
| ~ unequally_directed_lines(skc9,u) ),
inference(res,[status(thm),theory(equality)],[179,73]),
[iquote('0:Res:179.1,73.1')] ).
cnf(232,plain,
~ unequally_directed_lines(skc9,reverse_line(skc5)),
inference(res,[status(thm),theory(equality)],[199,212]),
[iquote('0:Res:199.0,212.0')] ).
cnf(239,plain,
~ unequally_directed_opposite_lines(skc9,skc5),
inference(res,[status(thm),theory(equality)],[22,232]),
[iquote('0:Res:22.1,232.0')] ).
cnf(241,plain,
$false,
inference(mrr,[status(thm)],[239,78]),
[iquote('0:MRR:239.0,78.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO261+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 18:25:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.48
% 0.20/0.48 SPASS V 3.9
% 0.20/0.48 SPASS beiseite: Proof found.
% 0.20/0.48 % SZS status Theorem
% 0.20/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 SPASS derived 161 clauses, backtracked 0 clauses, performed 2 splits and kept 170 clauses.
% 0.20/0.48 SPASS allocated 97800 KBytes.
% 0.20/0.48 SPASS spent 0:00:00.10 on the problem.
% 0.20/0.48 0:00:00.04 for the input.
% 0.20/0.48 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.48 0:00:00.00 for inferences.
% 0.20/0.48 0:00:00.00 for the backtracking.
% 0.20/0.48 0:00:00.01 for the reduction.
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 Here is a proof with depth 6, length 23 :
% 0.20/0.48 % SZS output start Refutation
% See solution above
% 0.20/0.48 Formulae used in the proof : con ax5_basics ax11_basics a7_defns ax8_basics a1_defns a4_defns ax6_basics ax9_basics
% 0.20/0.48
%------------------------------------------------------------------------------