%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO217+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 12:24:33 PM UTC 2026
% Result : Theorem 0.10s 0.60s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 45 ( 20 ~; 14 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 33 ( 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
! [L,M,N] :
( ( ~ convergent_lines(L,N)
& ~ convergent_lines(L,M) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ! [L,M,N] :
( ( ~ convergent_lines(L,N)
& ~ convergent_lines(L,M) )
=> ~ convergent_lines(M,N) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f22,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f29,plain,
! [X,Y,Z] :
( convergent_lines(Y,Z)
| convergent_lines(X,Z)
| ~ convergent_lines(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f30,plain,
! [X,Y] :
( ! [Z] :
( convergent_lines(Y,Z)
| convergent_lines(X,Z) )
| ~ convergent_lines(X,Y) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f62,plain,
? [L,M,N] :
( convergent_lines(M,N)
& ~ convergent_lines(L,N)
& ~ convergent_lines(L,M) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f63,plain,
? [M,N] :
( convergent_lines(M,N)
& ? [L] :
( ~ convergent_lines(L,N)
& ~ convergent_lines(L,M) ) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f64,plain,
( convergent_lines(sK0_skl,sK1_skl)
& ~ convergent_lines(sK2_skl,sK1_skl)
& ~ convergent_lines(sK2_skl,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(M,sK0_skl),skolemize(N,sK1_skl),skolemize(L,sK2_skl)],[f63]) ).
fof(f65,plain,
~ convergent_lines(sK2_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
~ convergent_lines(sK2_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f67,plain,
convergent_lines(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f73,plain,
! [X0] :
( convergent_lines(sK1_skl,X0)
| convergent_lines(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f31,f67]) ).
fof(f74,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| convergent_lines(sK1_skl,X1)
| convergent_lines(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f73,f31]) ).
fof(f77,plain,
! [X0] :
( convergent_lines(X0,sK1_skl)
| convergent_lines(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f74,f22]) ).
fof(f78,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| convergent_lines(sK0_skl,X1)
| convergent_lines(X0,sK1_skl) ),
inference(resolution,[status(thm)],[f77,f31]) ).
fof(f81,plain,
! [X0] :
( convergent_lines(X0,sK0_skl)
| convergent_lines(X0,sK1_skl) ),
inference(resolution,[status(thm)],[f78,f22]) ).
fof(f82,plain,
convergent_lines(sK2_skl,sK0_skl),
inference(resolution,[status(thm)],[f81,f66]) ).
fof(f85,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f82,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO217+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n026.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sun Sep 20 13:42:39 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.10/0.60 % Refutation found
% 0.10/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.62 % Elapsed time: 0.049143 seconds
% 0.10/0.62 % CPU time: 0.123311 seconds
% 0.10/0.62 % Total memory used: 17.251 MB
% 0.10/0.62 % Net memory used: 16.903 MB
%------------------------------------------------------------------------------