%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO264+3 : TPTP v9.3.1. Released v4.0.0.
% 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 12:24:47 PM UTC 2026
% Result : Theorem 0.07s 0.37s
% Output : CNFRefutation 0.07s
% 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 : 28 ( 10 ~; 1 |; 13 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 18 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [A,L] :
~ ( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
! [A,B,C,D] :
( left_apart_point(C,line_connecting(A,B))
=> ( ( right_apart_point(D,line_connecting(C,A))
& right_apart_point(D,line_connecting(B,C)) )
=> left_apart_point(D,line_connecting(A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ! [A,B,C,D] :
( left_apart_point(C,line_connecting(A,B))
=> ( ( right_apart_point(D,line_connecting(C,A))
& right_apart_point(D,line_connecting(B,C)) )
=> left_apart_point(D,line_connecting(A,B)) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f113,plain,
! [A,L] :
( ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f114,plain,
( ! [A,L] : ~ left_apart_point(A,reverse_line(L))
& ! [A,L] : ~ left_apart_point(A,L) ),
inference(miniscoping,[status(thm)],[f113]) ).
fof(f115,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f152,plain,
? [A,B,C,D] :
( ~ left_apart_point(D,line_connecting(A,B))
& right_apart_point(D,line_connecting(C,A))
& right_apart_point(D,line_connecting(B,C))
& left_apart_point(C,line_connecting(A,B)) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f153,plain,
? [A,B,C] :
( ? [D] :
( ~ left_apart_point(D,line_connecting(A,B))
& right_apart_point(D,line_connecting(C,A))
& right_apart_point(D,line_connecting(B,C)) )
& left_apart_point(C,line_connecting(A,B)) ),
inference(miniscoping,[status(thm)],[f152]) ).
fof(f154,plain,
( ~ left_apart_point(sK3_skl,line_connecting(sK0_skl,sK1_skl))
& right_apart_point(sK3_skl,line_connecting(sK2_skl,sK0_skl))
& right_apart_point(sK3_skl,line_connecting(sK1_skl,sK2_skl))
& left_apart_point(sK2_skl,line_connecting(sK0_skl,sK1_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f153]) ).
fof(f155,plain,
left_apart_point(sK2_skl,line_connecting(sK0_skl,sK1_skl)),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f165,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f155,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO264+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n001.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 14:56:27 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.07/0.37 % Refutation found
% 0.07/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.39 % Elapsed time: 0.036069 seconds
% 0.12/0.39 % CPU time: 0.056638 seconds
% 0.12/0.39 % Total memory used: 3.623 MB
% 0.12/0.39 % Net memory used: 3.613 MB
%------------------------------------------------------------------------------