TSTP Solution File: GEO227+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO227+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 06:23:42 EDT 2022
% Result : Theorem 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 6 unt; 2 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equally_directed_lines(skc2,skc3),
file('GEO227+3.p',unknown),
[] ).
cnf(2,axiom,
equally_directed_opposite_lines(skc2,skc3),
file('GEO227+3.p',unknown),
[] ).
cnf(19,axiom,
( unequally_directed_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO227+3.p',unknown),
[] ).
cnf(21,axiom,
( ~ unequally_directed_lines(u,reverse_line(v))
| unequally_directed_opposite_lines(u,v) ),
file('GEO227+3.p',unknown),
[] ).
cnf(26,axiom,
( ~ unequally_directed_lines(u,v)
| ~ equally_directed_lines(u,v) ),
file('GEO227+3.p',unknown),
[] ).
cnf(27,axiom,
( ~ unequally_directed_opposite_lines(u,v)
| ~ equally_directed_opposite_lines(u,v) ),
file('GEO227+3.p',unknown),
[] ).
cnf(73,plain,
~ unequally_directed_opposite_lines(skc2,skc3),
inference(res,[status(thm),theory(equality)],[2,27]),
[iquote('0:Res:2.0,27.0')] ).
cnf(74,plain,
~ unequally_directed_lines(skc2,skc3),
inference(res,[status(thm),theory(equality)],[1,26]),
[iquote('0:Res:1.0,26.0')] ).
cnf(82,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(84,plain,
unequally_directed_opposite_lines(skc2,skc3),
inference(res,[status(thm),theory(equality)],[82,74]),
[iquote('0:Res:82.0,74.0')] ).
cnf(86,plain,
$false,
inference(mrr,[status(thm)],[84,73]),
[iquote('0:MRR:84.0,73.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO227+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 14:46:29 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48
% 0.21/0.48 SPASS V 3.9
% 0.21/0.48 SPASS beiseite: Proof found.
% 0.21/0.48 % SZS status Theorem
% 0.21/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 SPASS derived 10 clauses, backtracked 0 clauses, performed 0 splits and kept 58 clauses.
% 0.21/0.48 SPASS allocated 97776 KBytes.
% 0.21/0.48 SPASS spent 0:00:00.11 on the problem.
% 0.21/0.48 0:00:00.05 for the input.
% 0.21/0.48 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.48 0:00:00.00 for inferences.
% 0.21/0.48 0:00:00.00 for the backtracking.
% 0.21/0.48 0:00:00.00 for the reduction.
% 0.21/0.48
% 0.21/0.48
% 0.21/0.48 Here is a proof with depth 2, length 11 :
% 0.21/0.48 % SZS output start Refutation
% See solution above
% 0.21/0.48 Formulae used in the proof : con ax8_basics a1_defns a4_defns a5_defns
% 0.21/0.48
%------------------------------------------------------------------------------