%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO232+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 : n008.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 0.15s 5.47s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 7 unt; 2 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 15 |; 3 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 11 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [L] : ~ unequally_directed_lines(L,L),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [L,M] :
( ( line(M)
& line(L) )
=> ( unequally_directed_lines(L,reverse_line(M))
| unequally_directed_lines(L,M) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,conjecture,
! [L] :
( line(L)
=> unequally_directed_lines(L,reverse_line(L)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [L] :
( line(L)
=> unequally_directed_lines(L,reverse_line(L)) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f78,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f88,plain,
! [L,M] :
( unequally_directed_lines(L,reverse_line(M))
| unequally_directed_lines(L,M)
| ~ line(M)
| ~ line(L) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f89,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f130,plain,
? [L] :
( ~ unequally_directed_lines(L,reverse_line(L))
& line(L) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f131,plain,
( ~ unequally_directed_lines(sK0_skl,reverse_line(sK0_skl))
& line(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(L,sK0_skl)],[f130]) ).
fof(f132,plain,
line(sK0_skl),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
~ unequally_directed_lines(sK0_skl,reverse_line(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f140,plain,
! [X0] :
( unequally_directed_lines(X0,reverse_line(sK0_skl))
| unequally_directed_lines(X0,sK0_skl)
| ~ line(X0) ),
inference(resolution,[status(thm)],[f89,f132]) ).
fof(f142,plain,
( unequally_directed_lines(sK0_skl,reverse_line(sK0_skl))
| unequally_directed_lines(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f140,f132]) ).
fof(f143,definition,
( sQ0_spl
<=> unequally_directed_lines(sK0_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ0_spl
| unequally_directed_lines(sK0_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ1_spl
<=> unequally_directed_lines(sK0_skl,reverse_line(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ1_spl
| unequally_directed_lines(sK0_skl,reverse_line(sK0_skl)) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f142,f143,f146]) ).
fof(f150,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f144,f78]) ).
fof(f151,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f150]) ).
fof(f152,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f147,f133]) ).
fof(f153,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f152]) ).
fof(f154,plain,
$false,
inference(sat_refutation,[status(thm)],[f149,f151,f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO232+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.43 % Computer : n008.cluster.edu
% 0.15/5.43 % Model : x86_64 x86_64
% 0.15/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.43 % Memory : 8046.5625MB
% 0.15/5.43 % OS : Linux 6.8.0-71-generic
% 0.15/5.43 % CPULimit : 300
% 0.15/5.43 % WCLimit : 300
% 0.15/5.43 % DateTime : Sun Sep 20 14:10:29 UTC 2026
% 0.15/5.43 % CPUTime :
% 0.15/5.45 % Drodi V4.1.1
% 0.15/5.47 % Refutation found
% 0.15/5.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/5.57 % Elapsed time: 0.122501 seconds
% 0.20/5.57 % CPU time: 0.095120 seconds
% 0.20/5.57 % Total memory used: 2.981 MB
% 0.20/5.57 % Net memory used: 2.964 MB
%------------------------------------------------------------------------------