%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO260+1 : TPTP v9.3.1. Bugfixed v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 12:24:46 PM UTC 2026
% Result : Theorem 1.33s 0.64s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 11 unt; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 113 ( 34 ~; 52 |; 22 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 82 ( 78 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [L] : ~ unequally_directed_lines(L,L),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(M,N)
| unequally_directed_lines(L,N) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [L,M] :
( ( line(M)
& line(L) )
=> ( unequally_directed_lines(L,reverse_line(M))
| unequally_directed_lines(L,M) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [L,M] :
( ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) )
=> ( left_convergent_lines(L,reverse_line(M))
| left_convergent_lines(L,M) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f25,axiom,
! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,conjecture,
! [L,A,B,C] :
( ( distinct_points(A,B)
& distinct_points(B,C)
& distinct_points(A,C)
& line(L) )
=> ~ ( between_on_line(L,A,C,B)
& between_on_line(L,A,B,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [L,A,B,C] :
( ( distinct_points(A,B)
& distinct_points(B,C)
& distinct_points(A,C)
& line(L) )
=> ~ ( between_on_line(L,A,C,B)
& between_on_line(L,A,B,C) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f78,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f79,plain,
! [L,M,N] :
( unequally_directed_lines(M,N)
| unequally_directed_lines(L,N)
| ~ unequally_directed_lines(L,M) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f80,plain,
! [L,M] :
( ! [N] :
( unequally_directed_lines(M,N)
| unequally_directed_lines(L,N) )
| ~ unequally_directed_lines(L,M) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f88,plain,
! [L,M] :
( unequally_directed_lines(L,reverse_line(M))
| unequally_directed_lines(L,M)
| ~ line(M)
| ~ line(L) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f89,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f90,plain,
! [L,M] :
( left_convergent_lines(L,reverse_line(M))
| left_convergent_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| ~ unequally_directed_lines(L,M) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f91,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
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(f116,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f130,plain,
? [L,A,B,C] :
( between_on_line(L,A,C,B)
& between_on_line(L,A,B,C)
& distinct_points(A,B)
& distinct_points(B,C)
& distinct_points(A,C)
& line(L) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f131,plain,
( between_on_line(sK0_skl,sK1_skl,sK3_skl,sK2_skl)
& between_on_line(sK0_skl,sK1_skl,sK2_skl,sK3_skl)
& distinct_points(sK1_skl,sK2_skl)
& distinct_points(sK2_skl,sK3_skl)
& distinct_points(sK1_skl,sK3_skl)
& line(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(L,sK0_skl),skolemize(A,sK1_skl),skolemize(B,sK2_skl),skolemize(C,sK3_skl)],[f130]) ).
fof(f132,plain,
line(sK0_skl),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f363,plain,
! [X0] :
( unequally_directed_lines(sK0_skl,reverse_line(X0))
| unequally_directed_lines(sK0_skl,X0)
| ~ line(X0) ),
inference(resolution,[status(thm)],[f89,f132]) ).
fof(f369,plain,
( unequally_directed_lines(sK0_skl,reverse_line(sK0_skl))
| unequally_directed_lines(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f363,f132]) ).
fof(f370,plain,
unequally_directed_lines(sK0_skl,reverse_line(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f369,f78]) ).
fof(f373,plain,
! [X0] :
( unequally_directed_lines(reverse_line(sK0_skl),X0)
| unequally_directed_lines(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f370,f81]) ).
fof(f377,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(reverse_line(sK0_skl),X1)
| unequally_directed_lines(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f373,f81]) ).
fof(f797,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f91,f98]) ).
fof(f801,plain,
! [X0] :
( unequally_directed_lines(sK0_skl,reverse_line(X0))
| left_convergent_lines(reverse_line(sK0_skl),reverse_line(X0))
| ~ unequally_directed_lines(reverse_line(sK0_skl),X0) ),
inference(resolution,[status(thm)],[f797,f373]) ).
fof(f809,plain,
! [X0] :
( unequally_directed_lines(sK0_skl,reverse_line(X0))
| ~ unequally_directed_lines(reverse_line(sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f801,f98]) ).
fof(f840,plain,
! [X0,X1] :
( unequally_directed_lines(X1,X0)
| unequally_directed_lines(sK0_skl,X1)
| unequally_directed_lines(sK0_skl,reverse_line(X0)) ),
inference(resolution,[status(thm)],[f809,f377]) ).
fof(f841,plain,
! [X0] :
( unequally_directed_lines(sK0_skl,X0)
| unequally_directed_lines(sK0_skl,reverse_line(X0)) ),
inference(resolution,[status(thm)],[f809,f373]) ).
fof(f859,plain,
! [X0,X1] :
( left_convergent_lines(sK0_skl,reverse_line(X1))
| ~ unequally_directed_lines(sK0_skl,X1)
| unequally_directed_lines(X0,X1)
| unequally_directed_lines(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f840,f797]) ).
fof(f900,plain,
! [X0,X1] :
( ~ unequally_directed_lines(sK0_skl,X1)
| unequally_directed_lines(X0,X1)
| unequally_directed_lines(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f859,f98]) ).
fof(f1012,plain,
! [X0,X1] :
( unequally_directed_lines(sK0_skl,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f900,f841]) ).
fof(f1334,plain,
! [X0,X1] :
( unequally_directed_lines(sK0_skl,line_connecting(X1,X0))
| unequally_directed_lines(sK0_skl,line_connecting(X0,X1)) ),
inference(resolution,[status(thm)],[f1012,f116]) ).
fof(f1337,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(sK0_skl,X1)
| unequally_directed_lines(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1012,f797]) ).
fof(f1344,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(sK0_skl,X1)
| unequally_directed_lines(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1337,f98]) ).
fof(f1499,plain,
! [X0] :
( unequally_directed_lines(sK0_skl,line_connecting(X0,X0))
| unequally_directed_lines(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1334,f1344]) ).
fof(f1501,plain,
! [X0,X1] :
( unequally_directed_lines(line_connecting(X1,X1),X0)
| unequally_directed_lines(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1334,f81]) ).
fof(f1509,plain,
! [X0] : unequally_directed_lines(sK0_skl,line_connecting(X0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[f1499,f78]) ).
fof(f1534,plain,
! [X0] : unequally_directed_lines(sK0_skl,reverse_line(line_connecting(X0,X0))),
inference(resolution,[status(thm)],[f1501,f116]) ).
fof(f1552,plain,
! [X0] :
( left_convergent_lines(sK0_skl,reverse_line(line_connecting(X0,X0)))
| ~ unequally_directed_lines(sK0_skl,line_connecting(X0,X0)) ),
inference(resolution,[status(thm)],[f1534,f797]) ).
fof(f1560,plain,
! [X0] : left_convergent_lines(sK0_skl,reverse_line(line_connecting(X0,X0))),
inference(forward_subsumption_resolution,[status(thm)],[f1552,f1509]) ).
fof(f1569,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1560,f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO260+1 : TPTP v9.3.1. Bugfixed v8.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 14:55:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 1.33/0.64 % Refutation found
% 1.33/0.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.33/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.33/0.66 % Elapsed time: 0.277964 seconds
% 1.33/0.66 % CPU time: 2.001464 seconds
% 1.33/0.66 % Total memory used: 39.975 MB
% 1.33/0.66 % Net memory used: 35.123 MB
%------------------------------------------------------------------------------