TSTP Solution File: GEO220+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO220+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:08:23 EDT 2023
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% 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(f17,axiom,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f59,plain,
! [L,M,N] :
( unorthogonal_lines(L,M)
| unorthogonal_lines(L,N)
| ~ convergent_lines(M,N) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f60,plain,
! [M,N] :
( ! [L] :
( unorthogonal_lines(L,M)
| unorthogonal_lines(L,N) )
| ~ convergent_lines(M,N) ),
inference(miniscoping,[status(esa)],[f59]) ).
fof(f61,plain,
! [X0,X1,X2] :
( unorthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X2)
| ~ convergent_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f62,plain,
? [L,M,N] :
( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N)
& convergent_lines(M,N) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f63,plain,
? [M,N] :
( ? [L] :
( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
& convergent_lines(M,N) ),
inference(miniscoping,[status(esa)],[f62]) ).
fof(f64,plain,
( ~ unorthogonal_lines(sk0_2,sk0_0)
& ~ unorthogonal_lines(sk0_2,sk0_1)
& convergent_lines(sk0_0,sk0_1) ),
inference(skolemization,[status(esa)],[f63]) ).
fof(f65,plain,
~ unorthogonal_lines(sk0_2,sk0_0),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f66,plain,
~ unorthogonal_lines(sk0_2,sk0_1),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f67,plain,
convergent_lines(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f72,plain,
! [X0] :
( unorthogonal_lines(sk0_2,X0)
| ~ convergent_lines(X0,sk0_1) ),
inference(resolution,[status(thm)],[f61,f66]) ).
fof(f75,plain,
~ convergent_lines(sk0_0,sk0_1),
inference(resolution,[status(thm)],[f72,f65]) ).
fof(f76,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f75,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO220+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:56:25 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.36 % Elapsed time: 0.016429 seconds
% 0.12/0.36 % CPU time: 0.025347 seconds
% 0.12/0.36 % Memory used: 1.993 MB
%------------------------------------------------------------------------------