%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO241+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 : n001.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 12:24:41 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 15 ~; 1 |; 15 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 16 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [L,M] :
~ ( left_convergent_lines(L,reverse_line(M))
| left_convergent_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,conjecture,
! [A,B,L] :
( ( left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& ~ apart_point_and_line(A,L) )
=> left_apart_point(B,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [A,B,L] :
( ( left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& ~ apart_point_and_line(A,L) )
=> left_apart_point(B,L) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f96,plain,
! [L,M] :
( ~ left_convergent_lines(L,reverse_line(M))
& ~ left_convergent_lines(L,M) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f97,plain,
( ! [L,M] : ~ left_convergent_lines(L,reverse_line(M))
& ! [L,M] : ~ left_convergent_lines(L,M) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f98,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f130,plain,
? [A,B,L] :
( ~ left_apart_point(B,L)
& left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& ~ apart_point_and_line(A,L) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f131,plain,
? [B,L] :
( ~ left_apart_point(B,L)
& ? [A] :
( left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& ~ apart_point_and_line(A,L) ) ),
inference(miniscoping,[status(thm)],[f130]) ).
fof(f132,plain,
( ~ left_apart_point(sK0_skl,sK1_skl)
& left_convergent_lines(sK1_skl,line_connecting(sK2_skl,sK0_skl))
& distinct_points(sK2_skl,sK0_skl)
& ~ apart_point_and_line(sK2_skl,sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(B,sK0_skl),skolemize(L,sK1_skl),skolemize(A,sK2_skl)],[f131]) ).
fof(f135,plain,
left_convergent_lines(sK1_skl,line_connecting(sK2_skl,sK0_skl)),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f143,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f135,f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO241+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 14:29:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.038861 seconds
% 0.09/0.42 % CPU time: 0.104009 seconds
% 0.09/0.42 % Total memory used: 14.210 MB
% 0.09/0.42 % Net memory used: 14.171 MB
%------------------------------------------------------------------------------