%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO247+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 : n017.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 12:24:42 PM UTC 2026
% Result : Theorem 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 53 ( 10 ~; 1 |; 40 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 34 ( 22 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [A,L] :
~ ( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,conjecture,
! [A,B,C,D,L,M] :
( ( left_apart_point(D,M)
& left_apart_point(D,reverse_line(L))
& left_apart_point(C,reverse_line(M))
& left_apart_point(C,L)
& left_apart_point(B,reverse_line(M))
& left_apart_point(B,reverse_line(L))
& left_apart_point(A,M)
& left_apart_point(A,L) )
=> convergent_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [A,B,C,D,L,M] :
( ( left_apart_point(D,M)
& left_apart_point(D,reverse_line(L))
& left_apart_point(C,reverse_line(M))
& left_apart_point(C,L)
& left_apart_point(B,reverse_line(M))
& left_apart_point(B,reverse_line(L))
& left_apart_point(A,M)
& left_apart_point(A,L) )
=> convergent_lines(L,M) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f92,plain,
! [A,L] :
( ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f93,plain,
( ! [A,L] : ~ left_apart_point(A,reverse_line(L))
& ! [A,L] : ~ left_apart_point(A,L) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f94,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f130,plain,
? [A,B,C,D,L,M] :
( ~ convergent_lines(L,M)
& left_apart_point(D,M)
& left_apart_point(D,reverse_line(L))
& left_apart_point(C,reverse_line(M))
& left_apart_point(C,L)
& left_apart_point(B,reverse_line(M))
& left_apart_point(B,reverse_line(L))
& left_apart_point(A,M)
& left_apart_point(A,L) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f131,plain,
? [L,M] :
( ~ convergent_lines(L,M)
& ? [D] :
( left_apart_point(D,M)
& left_apart_point(D,reverse_line(L))
& ? [C] :
( left_apart_point(C,reverse_line(M))
& left_apart_point(C,L)
& ? [B] :
( left_apart_point(B,reverse_line(M))
& left_apart_point(B,reverse_line(L))
& ? [A] :
( left_apart_point(A,M)
& left_apart_point(A,L) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f130]) ).
fof(f132,plain,
( ~ convergent_lines(sK0_skl,sK1_skl)
& left_apart_point(sK2_skl,sK1_skl)
& left_apart_point(sK2_skl,reverse_line(sK0_skl))
& left_apart_point(sK3_skl,reverse_line(sK1_skl))
& left_apart_point(sK3_skl,sK0_skl)
& left_apart_point(sK4_skl,reverse_line(sK1_skl))
& left_apart_point(sK4_skl,reverse_line(sK0_skl))
& left_apart_point(sK5_skl,sK1_skl)
& left_apart_point(sK5_skl,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(L,sK0_skl),skolemize(M,sK1_skl),skolemize(D,sK2_skl),skolemize(C,sK3_skl),skolemize(B,sK4_skl),skolemize(A,sK5_skl)],[f131]) ).
fof(f135,plain,
left_apart_point(sK4_skl,reverse_line(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f148,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f135,f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO247+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 14:26:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.41 % Elapsed time: 0.044354 seconds
% 0.08/0.41 % CPU time: 0.115644 seconds
% 0.08/0.41 % Total memory used: 17.455 MB
% 0.08/0.41 % Net memory used: 17.399 MB
%------------------------------------------------------------------------------