TSTP Solution File: GEO212+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO212+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:17:33 EDT 2024
% Result : Theorem 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 87 ( 29 ~; 38 |; 15 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 61 ( 55 !; 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(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [L,M,N] :
( ( convergent_lines(L,M)
& unorthogonal_lines(L,M) )
=> ( ( convergent_lines(L,N)
& unorthogonal_lines(L,N) )
| ( convergent_lines(M,N)
& unorthogonal_lines(M,N) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,conjecture,
! [L,M,N] :
( unorthogonal_lines(L,M)
=> ( convergent_lines(L,N)
| unorthogonal_lines(M,N) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
~ ! [L,M,N] :
( unorthogonal_lines(L,M)
=> ( convergent_lines(L,N)
| unorthogonal_lines(M,N) ) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f27,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f34,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f35,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ! [Z] :
( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f61,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f62,plain,
! [L,M,N] :
( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M)
| ( convergent_lines(L,N)
& unorthogonal_lines(L,N) )
| ( convergent_lines(M,N)
& unorthogonal_lines(M,N) ) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f63,plain,
! [L,N] :
( pd0_0(N,L)
=> ( convergent_lines(L,N)
& unorthogonal_lines(L,N) ) ),
introduced(predicate_definition,[f62]) ).
fof(f64,plain,
! [L,M,N] :
( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M)
| pd0_0(N,L)
| ( convergent_lines(M,N)
& unorthogonal_lines(M,N) ) ),
inference(formula_renaming,[status(thm)],[f62,f63]) ).
fof(f65,plain,
! [L,M] :
( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M)
| ! [N] :
( pd0_0(N,L)
| ( convergent_lines(M,N)
& unorthogonal_lines(M,N) ) ) ),
inference(miniscoping,[status(esa)],[f64]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| pd0_0(X2,X0)
| unorthogonal_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f73,plain,
? [L,M,N] :
( unorthogonal_lines(L,M)
& ~ convergent_lines(L,N)
& ~ unorthogonal_lines(M,N) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f74,plain,
? [L,M] :
( unorthogonal_lines(L,M)
& ? [N] :
( ~ convergent_lines(L,N)
& ~ unorthogonal_lines(M,N) ) ),
inference(miniscoping,[status(esa)],[f73]) ).
fof(f75,plain,
( unorthogonal_lines(sk0_0,sk0_1)
& ~ convergent_lines(sk0_0,sk0_2)
& ~ unorthogonal_lines(sk0_1,sk0_2) ),
inference(skolemization,[status(esa)],[f74]) ).
fof(f76,plain,
unorthogonal_lines(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f77,plain,
~ convergent_lines(sk0_0,sk0_2),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f78,plain,
~ unorthogonal_lines(sk0_1,sk0_2),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f79,plain,
! [L,N] :
( ~ pd0_0(N,L)
| ( convergent_lines(L,N)
& unorthogonal_lines(L,N) ) ),
inference(pre_NNF_transformation,[status(esa)],[f63]) ).
fof(f80,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f82,plain,
convergent_lines(sk0_1,sk0_2),
inference(resolution,[status(thm)],[f61,f78]) ).
fof(f83,plain,
! [X0] :
( convergent_lines(sk0_1,X0)
| convergent_lines(sk0_2,X0) ),
inference(resolution,[status(thm)],[f36,f82]) ).
fof(f84,plain,
! [X0,X1] :
( convergent_lines(sk0_1,X0)
| convergent_lines(sk0_2,X1)
| convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f83,f36]) ).
fof(f87,plain,
! [X0] :
( convergent_lines(sk0_1,X0)
| convergent_lines(X0,sk0_2) ),
inference(resolution,[status(thm)],[f84,f27]) ).
fof(f88,plain,
! [X0,X1] :
( convergent_lines(X0,sk0_2)
| convergent_lines(sk0_1,X1)
| convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f87,f36]) ).
fof(f91,plain,
! [X0] :
( convergent_lines(X0,sk0_2)
| convergent_lines(X0,sk0_1) ),
inference(resolution,[status(thm)],[f88,f27]) ).
fof(f245,plain,
! [X0] :
( ~ convergent_lines(X0,sk0_1)
| ~ unorthogonal_lines(X0,sk0_1)
| pd0_0(sk0_2,X0) ),
inference(resolution,[status(thm)],[f67,f78]) ).
fof(f247,plain,
! [X0] :
( ~ convergent_lines(X0,sk0_1)
| ~ unorthogonal_lines(X0,sk0_1)
| convergent_lines(X0,sk0_2) ),
inference(resolution,[status(thm)],[f245,f80]) ).
fof(f248,plain,
! [X0] :
( ~ unorthogonal_lines(X0,sk0_1)
| convergent_lines(X0,sk0_2) ),
inference(forward_subsumption_resolution,[status(thm)],[f247,f91]) ).
fof(f249,plain,
convergent_lines(sk0_0,sk0_2),
inference(resolution,[status(thm)],[f248,f76]) ).
fof(f250,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f249,f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO212+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 01:35:56 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.15/0.36 % Refutation found
% 0.15/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.38 % Elapsed time: 0.058182 seconds
% 0.15/0.38 % CPU time: 0.395555 seconds
% 0.15/0.38 % Total memory used: 13.681 MB
% 0.15/0.38 % Net memory used: 13.144 MB
%------------------------------------------------------------------------------