%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO220+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:24:35 PM UTC 2026
% Result : Theorem 0.11s 5.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 42 ( 23 ~; 7 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 25 ( 19 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,N)
& ~ unorthogonal_lines(L,M) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,conjecture,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,N)
& ~ unorthogonal_lines(L,M) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ ! [L,M,N] :
( ( ~ unorthogonal_lines(L,N)
& ~ unorthogonal_lines(L,M) )
=> ~ convergent_lines(M,N) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f56,plain,
! [L,M,N] :
( ~ convergent_lines(M,N)
| unorthogonal_lines(L,N)
| unorthogonal_lines(L,M) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f57,plain,
! [M,N] :
( ~ convergent_lines(M,N)
| ! [L] :
( unorthogonal_lines(L,N)
| unorthogonal_lines(L,M) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
? [L,M,N] :
( convergent_lines(M,N)
& ~ unorthogonal_lines(L,N)
& ~ unorthogonal_lines(L,M) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f60,plain,
? [M,N] :
( convergent_lines(M,N)
& ? [L] :
( ~ unorthogonal_lines(L,N)
& ~ unorthogonal_lines(L,M) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f61,plain,
( convergent_lines(sK0_skl,sK1_skl)
& ~ unorthogonal_lines(sK2_skl,sK1_skl)
& ~ unorthogonal_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)],[f60]) ).
fof(f62,plain,
~ unorthogonal_lines(sK2_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
~ unorthogonal_lines(sK2_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f64,plain,
convergent_lines(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f74,plain,
! [X0] :
( ~ convergent_lines(X0,sK1_skl)
| unorthogonal_lines(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f58,f63]) ).
fof(f78,plain,
~ convergent_lines(sK0_skl,sK1_skl),
inference(resolution,[status(thm)],[f74,f62]) ).
fof(f80,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f78,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO220+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.36 % Computer : n006.cluster.edu
% 0.11/5.36 % Model : x86_64 x86_64
% 0.11/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.36 % Memory : 8046.5625MB
% 0.11/5.36 % OS : Linux 6.8.0-71-generic
% 0.11/5.36 % CPULimit : 300
% 0.11/5.36 % WCLimit : 300
% 0.11/5.36 % DateTime : Sun Sep 20 13:41:34 UTC 2026
% 0.11/5.36 % CPUTime :
% 0.11/5.37 % Drodi V4.1.1
% 0.11/5.40 % Refutation found
% 0.11/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.42 % Elapsed time: 0.050042 seconds
% 0.14/5.42 % CPU time: 0.120676 seconds
% 0.14/5.42 % Total memory used: 17.298 MB
% 0.14/5.42 % Net memory used: 16.946 MB
%------------------------------------------------------------------------------