TSTP Solution File: GEO227+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 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,
line(skc3),
file('GEO227+1.p',unknown),
[] ).
cnf(2,axiom,
line(skc2),
file('GEO227+1.p',unknown),
[] ).
cnf(3,axiom,
~ unequally_directed_lines(skc3,skc2),
file('GEO227+1.p',unknown),
[] ).
cnf(9,axiom,
~ unequally_directed_lines(skc3,reverse_line(skc2)),
file('GEO227+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ line(u)
| ~ line(v)
| unequally_directed_lines(v,u)
| unequally_directed_lines(v,reverse_line(u)) ),
file('GEO227+1.p',unknown),
[] ).
cnf(84,plain,
( ~ line(skc3)
| ~ line(skc2)
| unequally_directed_lines(skc3,skc2) ),
inference(res,[status(thm),theory(equality)],[45,9]),
[iquote('0:Res:45.3,9.0')] ).
cnf(87,plain,
$false,
inference(mrr,[status(thm)],[84,1,2,3]),
[iquote('0:MRR:84.0,84.1,84.2,1.0,2.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 18:49:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44
% 0.18/0.44 SPASS V 3.9
% 0.18/0.44 SPASS beiseite: Proof found.
% 0.18/0.44 % SZS status Theorem
% 0.18/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 SPASS derived 20 clauses, backtracked 0 clauses, performed 0 splits and kept 55 clauses.
% 0.18/0.44 SPASS allocated 97771 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.18/0.44 0:00:00.04 for the input.
% 0.18/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44 0:00:00.00 for inferences.
% 0.18/0.44 0:00:00.00 for the backtracking.
% 0.18/0.44 0:00:00.00 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 1, length 7 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.44 Formulae used in the proof : con oag8
% 0.18/0.44
%------------------------------------------------------------------------------