%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO256+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 : n019.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 12:24:45 PM UTC 2026
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 51 ( 18 ~; 3 |; 26 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 30 ( 20 !; 10 ?)
% 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,
! [L,A,B,C,D] :
( ( left_apart_point(D,L)
& ~ apart_point_and_line(C,L)
& distinct_points(B,C)
& distinct_points(A,C) )
=> ( before_on_line(L,A,B)
=> ( before_on_line(L,C,B)
| before_on_line(L,A,C) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [L,A,B,C,D] :
( ( left_apart_point(D,L)
& ~ apart_point_and_line(C,L)
& distinct_points(B,C)
& distinct_points(A,C) )
=> ( before_on_line(L,A,B)
=> ( before_on_line(L,C,B)
| before_on_line(L,A,C) ) ) ),
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,
? [L,A,B,C,D] :
( ~ before_on_line(L,C,B)
& ~ before_on_line(L,A,C)
& before_on_line(L,A,B)
& left_apart_point(D,L)
& ~ apart_point_and_line(C,L)
& distinct_points(B,C)
& distinct_points(A,C) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f131,plain,
? [L,A,B,C] :
( ~ before_on_line(L,C,B)
& ~ before_on_line(L,A,C)
& before_on_line(L,A,B)
& ? [D] : left_apart_point(D,L)
& ~ apart_point_and_line(C,L)
& distinct_points(B,C)
& distinct_points(A,C) ),
inference(miniscoping,[status(thm)],[f130]) ).
fof(f132,plain,
( ~ before_on_line(sK0_skl,sK3_skl,sK2_skl)
& ~ before_on_line(sK0_skl,sK1_skl,sK3_skl)
& before_on_line(sK0_skl,sK1_skl,sK2_skl)
& left_apart_point(sK4_skl,sK0_skl)
& ~ apart_point_and_line(sK3_skl,sK0_skl)
& distinct_points(sK2_skl,sK3_skl)
& distinct_points(sK1_skl,sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(L,sK0_skl),skolemize(A,sK1_skl),skolemize(B,sK2_skl),skolemize(C,sK3_skl),skolemize(D,sK4_skl)],[f131]) ).
fof(f136,plain,
left_apart_point(sK4_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f146,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f136,f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO256+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 % Computer : n019.cluster.edu
% 0.19/0.47 % Model : x86_64 x86_64
% 0.19/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.47 % Memory : 8046.5625MB
% 0.19/0.47 % OS : Linux 6.8.0-71-generic
% 0.19/0.47 % CPULimit : 300
% 0.19/0.47 % WCLimit : 300
% 0.19/0.47 % DateTime : Sun Sep 20 14:40:06 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 0.19/0.50 % Refutation found
% 0.19/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.55 % Elapsed time: 0.069298 seconds
% 0.24/0.55 % CPU time: 0.085102 seconds
% 0.24/0.55 % Total memory used: 3.005 MB
% 0.24/0.55 % Net memory used: 2.994 MB
%------------------------------------------------------------------------------