TSTP Solution File: GEO261+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO261+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:08:36 EDT 2023
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 4 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 36 ~; 26 |; 23 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 68 (; 58 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [L,M] :
( convergent_lines(L,M)
<=> ( unequally_directed_lines(L,M)
& unequally_directed_opposite_lines(L,M) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,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(f21,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
! [L,M,A,B,C] :
( ( between_on_line(L,A,B,C)
& convergent_lines(L,M)
& incident_point_and_line(B,M) )
=> divides_points(M,A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ! [L,M,A,B,C] :
( ( between_on_line(L,A,B,C)
& convergent_lines(L,M)
& incident_point_and_line(B,M) )
=> divides_points(M,A,C) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f39,plain,
! [X,Y] :
( ( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) )
& ( unequally_directed_opposite_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y)) ) ),
inference(NNF_transformation,[status(esa)],[f1]) ).
fof(f40,plain,
( ! [X,Y] :
( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) )
& ! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y)) ) ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f64,plain,
! [L,M] :
( ( ~ convergent_lines(L,M)
| ( unequally_directed_lines(L,M)
& unequally_directed_opposite_lines(L,M) ) )
& ( convergent_lines(L,M)
| ~ unequally_directed_lines(L,M)
| ~ unequally_directed_opposite_lines(L,M) ) ),
inference(NNF_transformation,[status(esa)],[f7]) ).
fof(f65,plain,
( ! [L,M] :
( ~ convergent_lines(L,M)
| ( unequally_directed_lines(L,M)
& unequally_directed_opposite_lines(L,M) ) )
& ! [L,M] :
( convergent_lines(L,M)
| ~ unequally_directed_lines(L,M)
| ~ unequally_directed_opposite_lines(L,M) ) ),
inference(miniscoping,[status(esa)],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f111,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)],[f19]) ).
fof(f112,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)],[f111]) ).
fof(f117,plain,
! [L,M] :
( ~ left_convergent_lines(L,M)
& ~ left_convergent_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f118,plain,
( ! [L,M] : ~ left_convergent_lines(L,M)
& ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
inference(miniscoping,[status(esa)],[f117]) ).
fof(f119,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f152,plain,
? [L,M,A,B,C] :
( between_on_line(L,A,B,C)
& convergent_lines(L,M)
& incident_point_and_line(B,M)
& ~ divides_points(M,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f153,plain,
? [M,A,C] :
( ? [B] :
( ? [L] :
( between_on_line(L,A,B,C)
& convergent_lines(L,M) )
& incident_point_and_line(B,M) )
& ~ divides_points(M,A,C) ),
inference(miniscoping,[status(esa)],[f152]) ).
fof(f154,plain,
( between_on_line(sk0_4,sk0_1,sk0_3,sk0_2)
& convergent_lines(sk0_4,sk0_0)
& incident_point_and_line(sk0_3,sk0_0)
& ~ divides_points(sk0_0,sk0_1,sk0_2) ),
inference(skolemization,[status(esa)],[f153]) ).
fof(f156,plain,
convergent_lines(sk0_4,sk0_0),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f170,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)],[f112,f119]) ).
fof(f171,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f119]) ).
fof(f215,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[status(thm)],[f171,f41]) ).
fof(f223,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f215,f67]) ).
fof(f224,plain,
! [X0,X1] : ~ convergent_lines(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f223,f66]) ).
fof(f225,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f156,f224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO261+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n013.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 11:59:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % 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
% 0.20/0.57 % Elapsed time: 0.013359 seconds
% 0.20/0.57 % CPU time: 0.041675 seconds
% 0.20/0.57 % Memory used: 2.486 MB
%------------------------------------------------------------------------------