%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO241+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 0.12s 0.39s
% Output : CNFRefutation 0.12s
% 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 |; 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(f21,axiom,
! [L,M] :
~ ( left_convergent_lines(L,reverse_line(M))
| left_convergent_lines(L,M) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
! [A,B,L] :
( ( left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& incident_point_and_line(A,L) )
=> left_apart_point(B,L) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ! [A,B,L] :
( ( left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& incident_point_and_line(A,L) )
=> left_apart_point(B,L) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f117,plain,
! [L,M] :
( ~ left_convergent_lines(L,reverse_line(M))
& ~ left_convergent_lines(L,M) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f118,plain,
( ! [L,M] : ~ left_convergent_lines(L,reverse_line(M))
& ! [L,M] : ~ left_convergent_lines(L,M) ),
inference(miniscoping,[status(thm)],[f117]) ).
fof(f119,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f152,plain,
? [A,B,L] :
( ~ left_apart_point(B,L)
& left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& incident_point_and_line(A,L) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f153,plain,
? [B,L] :
( ~ left_apart_point(B,L)
& ? [A] :
( left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& incident_point_and_line(A,L) ) ),
inference(miniscoping,[status(thm)],[f152]) ).
fof(f154,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)
& incident_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)],[f153]) ).
fof(f157,plain,
left_convergent_lines(sK1_skl,line_connecting(sK2_skl,sK0_skl)),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f165,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f157,f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO241+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 14:25:16 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.044773 seconds
% 0.12/0.41 % CPU time: 0.114394 seconds
% 0.12/0.41 % Total memory used: 19.207 MB
% 0.12/0.41 % Net memory used: 19.131 MB
%------------------------------------------------------------------------------