TSTP Solution File: GEO232+3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO232+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 06:23:45 EDT 2022
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 1 nHn; 9 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equally_directed_lines(u,u),
file('GEO232+3.p',unknown),
[] ).
cnf(2,axiom,
~ unequally_directed_opposite_lines(skc1,skc1),
file('GEO232+3.p',unknown),
[] ).
cnf(18,axiom,
( unequally_directed_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO232+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ unequally_directed_lines(u,reverse_line(v))
| unequally_directed_opposite_lines(u,v) ),
file('GEO232+3.p',unknown),
[] ).
cnf(25,axiom,
( ~ unequally_directed_lines(u,v)
| ~ equally_directed_lines(u,v) ),
file('GEO232+3.p',unknown),
[] ).
cnf(72,plain,
~ unequally_directed_lines(skc1,reverse_line(skc1)),
inference(res,[status(thm),theory(equality)],[20,2]),
[iquote('0:Res:20.1,2.0')] ).
cnf(79,plain,
unequally_directed_lines(skc1,skc1),
inference(res,[status(thm),theory(equality)],[18,72]),
[iquote('0:Res:18.1,72.0')] ).
cnf(90,plain,
~ unequally_directed_lines(u,u),
inference(res,[status(thm),theory(equality)],[1,25]),
[iquote('0:Res:1.0,25.1')] ).
cnf(93,plain,
$false,
inference(unc,[status(thm)],[90,79]),
[iquote('0:UnC:90.0,79.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO232+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n013.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 22:24:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45
% 0.20/0.45 SPASS V 3.9
% 0.20/0.45 SPASS beiseite: Proof found.
% 0.20/0.45 % SZS status Theorem
% 0.20/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 SPASS derived 18 clauses, backtracked 0 clauses, performed 0 splits and kept 63 clauses.
% 0.20/0.45 SPASS allocated 97775 KBytes.
% 0.20/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.20/0.45 0:00:00.04 for the input.
% 0.20/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.45 0:00:00.00 for inferences.
% 0.20/0.45 0:00:00.00 for the backtracking.
% 0.20/0.45 0:00:00.00 for the reduction.
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 Here is a proof with depth 2, length 9 :
% 0.20/0.45 % SZS output start Refutation
% See solution above
% 0.20/0.45 Formulae used in the proof : ax5_basics con ax8_basics a1_defns a4_defns
% 0.20/0.45
%------------------------------------------------------------------------------