TSTP Solution File: GEO262+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO262+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:17:48 EDT 2024
% Result : Theorem 0.16s 0.32s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 96 ( 37 ~; 19 |; 36 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 56 ( 44 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [L,M] :
( convergent_lines(L,M)
<=> ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,conjecture,
! [L,M,N,A,B,C] :
( ( between_on_line(L,A,B,C)
& convergent_lines(L,M)
& ~ apart_point_and_line(B,M)
& convergent_lines(L,N)
& convergent_lines(M,N)
& ~ apart_point_and_line(B,N) )
=> between_on_line(M,intersection_point(M,parallel_through_point(N,A)),B,intersection_point(M,parallel_through_point(N,C))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [L,M,N,A,B,C] :
( ( between_on_line(L,A,B,C)
& convergent_lines(L,M)
& ~ apart_point_and_line(B,M)
& convergent_lines(L,N)
& convergent_lines(M,N)
& ~ apart_point_and_line(B,N) )
=> between_on_line(M,intersection_point(M,parallel_through_point(N,A)),B,intersection_point(M,parallel_through_point(N,C))) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f39,plain,
! [L,M] :
( ( ~ convergent_lines(L,M)
| ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) )
& ( convergent_lines(L,M)
| ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f40,plain,
( ! [L,M] :
( ~ convergent_lines(L,M)
| ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) )
& ! [L,M] :
( convergent_lines(L,M)
| ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ) ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f90,plain,
! [L,M] :
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f91,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f90]) ).
fof(f96,plain,
! [L,M] :
( ~ left_convergent_lines(L,M)
& ~ left_convergent_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f97,plain,
( ! [L,M] : ~ left_convergent_lines(L,M)
& ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
inference(miniscoping,[status(esa)],[f96]) ).
fof(f98,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f130,plain,
? [L,M,N,A,B,C] :
( between_on_line(L,A,B,C)
& convergent_lines(L,M)
& ~ apart_point_and_line(B,M)
& convergent_lines(L,N)
& convergent_lines(M,N)
& ~ apart_point_and_line(B,N)
& ~ between_on_line(M,intersection_point(M,parallel_through_point(N,A)),B,intersection_point(M,parallel_through_point(N,C))) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f131,plain,
? [M,N,A,B,C] :
( ? [L] :
( between_on_line(L,A,B,C)
& convergent_lines(L,M)
& ~ apart_point_and_line(B,M)
& convergent_lines(L,N) )
& convergent_lines(M,N)
& ~ apart_point_and_line(B,N)
& ~ between_on_line(M,intersection_point(M,parallel_through_point(N,A)),B,intersection_point(M,parallel_through_point(N,C))) ),
inference(miniscoping,[status(esa)],[f130]) ).
fof(f132,plain,
( between_on_line(sk0_5,sk0_2,sk0_3,sk0_4)
& convergent_lines(sk0_5,sk0_0)
& ~ apart_point_and_line(sk0_3,sk0_0)
& convergent_lines(sk0_5,sk0_1)
& convergent_lines(sk0_0,sk0_1)
& ~ apart_point_and_line(sk0_3,sk0_1)
& ~ between_on_line(sk0_0,intersection_point(sk0_0,parallel_through_point(sk0_1,sk0_2)),sk0_3,intersection_point(sk0_0,parallel_through_point(sk0_1,sk0_4))) ),
inference(skolemization,[status(esa)],[f131]) ).
fof(f134,plain,
convergent_lines(sk0_5,sk0_0),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f153,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f91,f98]) ).
fof(f154,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f153,f98]) ).
fof(f157,plain,
unequally_directed_lines(sk0_5,sk0_0),
inference(resolution,[status(thm)],[f41,f134]) ).
fof(f160,plain,
unequally_directed_lines(sk0_5,reverse_line(sk0_0)),
inference(resolution,[status(thm)],[f42,f134]) ).
fof(f179,plain,
~ unequally_directed_lines(sk0_5,sk0_0),
inference(resolution,[status(thm)],[f154,f160]) ).
fof(f180,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f179,f157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO262+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 01:58:17 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.6.0
% 0.16/0.32 % Refutation found
% 0.16/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.33 % Elapsed time: 0.017685 seconds
% 0.16/0.33 % CPU time: 0.052275 seconds
% 0.16/0.33 % Total memory used: 3.178 MB
% 0.16/0.33 % Net memory used: 3.129 MB
%------------------------------------------------------------------------------