TSTP Solution File: GEO253+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO253+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:17:46 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 24 ~; 11 |; 14 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,L] :
( apart_point_and_line(A,L)
<=> ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,conjecture,
! [A,B,L] :
( ( apart_point_and_line(A,L)
& ~ apart_point_and_line(B,parallel_through_point(L,A)) )
=> apart_point_and_line(B,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [A,B,L] :
( ( apart_point_and_line(A,L)
& ~ apart_point_and_line(B,parallel_through_point(L,A)) )
=> apart_point_and_line(B,L) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,plain,
! [A,L] :
( ( ~ apart_point_and_line(A,L)
| left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) )
& ( apart_point_and_line(A,L)
| ( ~ left_apart_point(A,L)
& ~ left_apart_point(A,reverse_line(L)) ) ) ),
inference(NNF_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( ! [A,L] :
( ~ apart_point_and_line(A,L)
| left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) )
& ! [A,L] :
( apart_point_and_line(A,L)
| ( ~ left_apart_point(A,L)
& ~ left_apart_point(A,reverse_line(L)) ) ) ),
inference(miniscoping,[status(esa)],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f92,plain,
! [A,L] :
( ~ left_apart_point(A,L)
& ~ left_apart_point(A,reverse_line(L)) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f93,plain,
( ! [A,L] : ~ left_apart_point(A,L)
& ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
inference(miniscoping,[status(esa)],[f92]) ).
fof(f94,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f130,plain,
? [A,B,L] :
( apart_point_and_line(A,L)
& ~ apart_point_and_line(B,parallel_through_point(L,A))
& ~ apart_point_and_line(B,L) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f131,plain,
? [B,L] :
( ? [A] :
( apart_point_and_line(A,L)
& ~ apart_point_and_line(B,parallel_through_point(L,A)) )
& ~ apart_point_and_line(B,L) ),
inference(miniscoping,[status(esa)],[f130]) ).
fof(f132,plain,
( apart_point_and_line(sk0_2,sk0_1)
& ~ apart_point_and_line(sk0_0,parallel_through_point(sk0_1,sk0_2))
& ~ apart_point_and_line(sk0_0,sk0_1) ),
inference(skolemization,[status(esa)],[f131]) ).
fof(f133,plain,
apart_point_and_line(sk0_2,sk0_1),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f141,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f36,f94]) ).
fof(f142,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f141,f94]) ).
fof(f143,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f133,f142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO253+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:25:26 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 0.20/0.39 % Refutation found
% 0.20/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.39 % Elapsed time: 0.023002 seconds
% 0.20/0.39 % CPU time: 0.052276 seconds
% 0.20/0.39 % Total memory used: 2.748 MB
% 0.20/0.39 % Net memory used: 2.738 MB
%------------------------------------------------------------------------------