TSTP Solution File: GEO218+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO218+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:17:35 EDT 2024
% Result : Theorem 0.16s 0.35s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 101 ( 45 ~; 35 |; 16 &)
% ( 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 : 60 ( 54 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,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/sandbox/benchmark/theBenchmark.p') ).
fof(f16,conjecture,
! [L,M,N] :
( ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ unorthogonal_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ ! [L,M,N] :
( ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ unorthogonal_lines(M,N) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f20,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f27,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f28,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ! [Z] :
( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f48,plain,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f49,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f50,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)],[f14]) ).
fof(f51,plain,
! [L,M] :
( pd0_0(M,L)
=> ( convergent_lines(L,M)
& unorthogonal_lines(L,M) ) ),
introduced(predicate_definition,[f50]) ).
fof(f52,plain,
! [L,M,N] :
( pd0_0(M,L)
| ( convergent_lines(L,N)
& unorthogonal_lines(L,N) )
| ~ convergent_lines(M,N)
| ~ unorthogonal_lines(M,N) ),
inference(formula_renaming,[status(thm)],[f50,f51]) ).
fof(f53,plain,
! [M,N] :
( ! [L] :
( pd0_0(M,L)
| ( convergent_lines(L,N)
& unorthogonal_lines(L,N) ) )
| ~ convergent_lines(M,N)
| ~ unorthogonal_lines(M,N) ),
inference(miniscoping,[status(esa)],[f52]) ).
fof(f55,plain,
! [X0,X1,X2] :
( pd0_0(X0,X1)
| unorthogonal_lines(X1,X2)
| ~ convergent_lines(X0,X2)
| ~ unorthogonal_lines(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f59,plain,
? [L,M,N] :
( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,N)
& unorthogonal_lines(M,N) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f60,plain,
? [M,N] :
( ? [L] :
( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,N) )
& unorthogonal_lines(M,N) ),
inference(miniscoping,[status(esa)],[f59]) ).
fof(f61,plain,
( ~ convergent_lines(sk0_2,sk0_0)
& ~ unorthogonal_lines(sk0_2,sk0_1)
& unorthogonal_lines(sk0_0,sk0_1) ),
inference(skolemization,[status(esa)],[f60]) ).
fof(f62,plain,
~ convergent_lines(sk0_2,sk0_0),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f63,plain,
~ unorthogonal_lines(sk0_2,sk0_1),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f64,plain,
unorthogonal_lines(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f65,plain,
! [L,M] :
( ~ pd0_0(M,L)
| ( convergent_lines(L,M)
& unorthogonal_lines(L,M) ) ),
inference(pre_NNF_transformation,[status(esa)],[f51]) ).
fof(f66,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f68,plain,
convergent_lines(sk0_2,sk0_1),
inference(resolution,[status(thm)],[f49,f63]) ).
fof(f69,plain,
! [X0] :
( convergent_lines(sk0_2,X0)
| convergent_lines(sk0_1,X0) ),
inference(resolution,[status(thm)],[f29,f68]) ).
fof(f70,plain,
! [X0,X1] :
( convergent_lines(sk0_2,X0)
| convergent_lines(sk0_1,X1)
| convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f69,f29]) ).
fof(f75,plain,
! [X0] :
( convergent_lines(sk0_2,X0)
| convergent_lines(X0,sk0_1) ),
inference(resolution,[status(thm)],[f70,f20]) ).
fof(f101,plain,
! [X0] :
( pd0_0(X0,sk0_2)
| ~ convergent_lines(X0,sk0_1)
| ~ unorthogonal_lines(X0,sk0_1) ),
inference(resolution,[status(thm)],[f55,f63]) ).
fof(f104,plain,
! [X0] :
( ~ convergent_lines(X0,sk0_1)
| ~ unorthogonal_lines(X0,sk0_1)
| convergent_lines(sk0_2,X0) ),
inference(resolution,[status(thm)],[f101,f66]) ).
fof(f105,plain,
! [X0] :
( ~ unorthogonal_lines(X0,sk0_1)
| convergent_lines(sk0_2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f104,f75]) ).
fof(f106,plain,
~ unorthogonal_lines(sk0_0,sk0_1),
inference(resolution,[status(thm)],[f105,f62]) ).
fof(f107,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f106,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO218+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n032.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Apr 30 01:46:20 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.16/0.35 % Refutation found
% 0.16/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.36 % Elapsed time: 0.024433 seconds
% 0.16/0.36 % CPU time: 0.067269 seconds
% 0.16/0.36 % Total memory used: 3.608 MB
% 0.16/0.36 % Net memory used: 3.445 MB
%------------------------------------------------------------------------------