TSTP Solution File: GEO212+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO212+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 : Wed May 31 12:08:20 EDT 2023
% Result : Theorem 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 89 ( 30 ~; 39 |; 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 : 63 (; 57 !; 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(f16,axiom,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,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(f21,conjecture,
! [L,M,N] :
( unorthogonal_lines(L,M)
=> ( convergent_lines(L,N)
| unorthogonal_lines(M,N) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ ! [L,M,N] :
( unorthogonal_lines(L,M)
=> ( convergent_lines(L,N)
| unorthogonal_lines(M,N) ) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f25,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f32,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f33,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ! [Z] :
( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f58,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f59,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)],[f17]) ).
fof(f60,plain,
! [L,N] :
( pd0_0(N,L)
=> ( convergent_lines(L,N)
& unorthogonal_lines(L,N) ) ),
introduced(predicate_definition,[f59]) ).
fof(f61,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)],[f59,f60]) ).
fof(f62,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)],[f61]) ).
fof(f64,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)],[f62]) ).
fof(f70,plain,
? [L,M,N] :
( unorthogonal_lines(L,M)
& ~ convergent_lines(L,N)
& ~ unorthogonal_lines(M,N) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f71,plain,
? [L,M] :
( unorthogonal_lines(L,M)
& ? [N] :
( ~ convergent_lines(L,N)
& ~ unorthogonal_lines(M,N) ) ),
inference(miniscoping,[status(esa)],[f70]) ).
fof(f72,plain,
( unorthogonal_lines(sk0_0,sk0_1)
& ~ convergent_lines(sk0_0,sk0_2)
& ~ unorthogonal_lines(sk0_1,sk0_2) ),
inference(skolemization,[status(esa)],[f71]) ).
fof(f73,plain,
unorthogonal_lines(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f74,plain,
~ convergent_lines(sk0_0,sk0_2),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f75,plain,
~ unorthogonal_lines(sk0_1,sk0_2),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f76,plain,
! [L,N] :
( ~ pd0_0(N,L)
| ( convergent_lines(L,N)
& unorthogonal_lines(L,N) ) ),
inference(pre_NNF_transformation,[status(esa)],[f60]) ).
fof(f77,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f79,plain,
convergent_lines(sk0_1,sk0_2),
inference(resolution,[status(thm)],[f58,f75]) ).
fof(f80,plain,
! [X0] :
( convergent_lines(sk0_1,X0)
| convergent_lines(sk0_2,X0) ),
inference(resolution,[status(thm)],[f34,f79]) ).
fof(f81,plain,
! [X0,X1] :
( convergent_lines(sk0_1,X0)
| convergent_lines(sk0_2,X1)
| convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f80,f34]) ).
fof(f84,plain,
! [X0] :
( convergent_lines(sk0_1,X0)
| convergent_lines(X0,sk0_2) ),
inference(resolution,[status(thm)],[f81,f25]) ).
fof(f85,plain,
! [X0,X1] :
( convergent_lines(X0,sk0_2)
| convergent_lines(sk0_1,X1)
| convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f84,f34]) ).
fof(f88,plain,
! [X0] :
( convergent_lines(X0,sk0_2)
| convergent_lines(X0,sk0_1) ),
inference(resolution,[status(thm)],[f85,f25]) ).
fof(f258,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| unorthogonal_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(resolution,[status(thm)],[f64,f77]) ).
fof(f314,plain,
! [X0] :
( ~ convergent_lines(X0,sk0_1)
| ~ unorthogonal_lines(X0,sk0_1)
| convergent_lines(X0,sk0_2) ),
inference(resolution,[status(thm)],[f258,f75]) ).
fof(f315,plain,
! [X0] :
( ~ unorthogonal_lines(X0,sk0_1)
| convergent_lines(X0,sk0_2) ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f88]) ).
fof(f321,plain,
~ unorthogonal_lines(sk0_0,sk0_1),
inference(resolution,[status(thm)],[f315,f74]) ).
fof(f322,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f321,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO212+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 12:01:25 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.19/0.42 % Refutation found
% 0.19/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.43/0.66 % Elapsed time: 0.099992 seconds
% 0.43/0.66 % CPU time: 0.340239 seconds
% 0.43/0.66 % Memory used: 7.844 MB
%------------------------------------------------------------------------------