%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO229+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:24:38 PM UTC 2026
% Result : Theorem 0.14s 0.57s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,conjecture,
! [L,M] :
( ~ unequally_directed_lines(L,reverse_line(M))
=> ~ unequally_directed_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [L,M] :
( ~ unequally_directed_lines(L,reverse_line(M))
=> ~ unequally_directed_lines(L,reverse_line(M)) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f130,plain,
? [L,M] :
( unequally_directed_lines(L,reverse_line(M))
& ~ unequally_directed_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f131,plain,
( unequally_directed_lines(sK0_skl,reverse_line(sK1_skl))
& ~ unequally_directed_lines(sK0_skl,reverse_line(sK1_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(L,sK0_skl),skolemize(M,sK1_skl)],[f130]) ).
fof(f132,plain,
~ unequally_directed_lines(sK0_skl,reverse_line(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
unequally_directed_lines(sK0_skl,reverse_line(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f139,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f133,f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO229+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.54 % Computer : n003.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Sun Sep 20 14:06:45 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.10/0.55 % Drodi V4.1.1
% 0.14/0.57 % Refutation found
% 0.14/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.60 % Elapsed time: 0.045851 seconds
% 0.14/0.60 % CPU time: 0.115000 seconds
% 0.14/0.60 % Total memory used: 18.882 MB
% 0.14/0.60 % Net memory used: 18.813 MB
%------------------------------------------------------------------------------