TSTP Solution File: GEO176+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:08:03 EDT 2023
% Result : Theorem 0.16s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 5 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 86 ( 34 ~; 32 |; 13 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 44 (; 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,conjecture,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(X,U)
| apart_point_and_line(X,V) ) )
=> distinct_points(X,intersection_point(U,V)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(X,U)
| apart_point_and_line(X,V) ) )
=> distinct_points(X,intersection_point(U,V)) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f54,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),X) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f55,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f56,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),Y) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f57,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f60,plain,
! [X,Y,Z] :
( ~ apart_point_and_line(X,Y)
| distinct_points(X,Z)
| apart_point_and_line(Z,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f61,plain,
! [X,Y] :
( ~ apart_point_and_line(X,Y)
| ! [Z] :
( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
inference(miniscoping,[status(esa)],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f127,plain,
? [X,Y,U,V] :
( distinct_points(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(X,U)
| apart_point_and_line(X,V) )
& ~ distinct_points(X,intersection_point(U,V)) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f128,plain,
? [X,U,V] :
( ? [Y] : distinct_points(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(X,U)
| apart_point_and_line(X,V) )
& ~ distinct_points(X,intersection_point(U,V)) ),
inference(miniscoping,[status(esa)],[f127]) ).
fof(f129,plain,
( distinct_points(sk0_0,sk0_3)
& convergent_lines(sk0_1,sk0_2)
& ( apart_point_and_line(sk0_0,sk0_1)
| apart_point_and_line(sk0_0,sk0_2) )
& ~ distinct_points(sk0_0,intersection_point(sk0_1,sk0_2)) ),
inference(skolemization,[status(esa)],[f128]) ).
fof(f131,plain,
convergent_lines(sk0_1,sk0_2),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f132,plain,
( apart_point_and_line(sk0_0,sk0_1)
| apart_point_and_line(sk0_0,sk0_2) ),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f133,plain,
~ distinct_points(sk0_0,intersection_point(sk0_1,sk0_2)),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f140,plain,
( spl0_0
<=> apart_point_and_line(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f141,plain,
( apart_point_and_line(sk0_0,sk0_1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( spl0_1
<=> apart_point_and_line(sk0_0,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( apart_point_and_line(sk0_0,sk0_2)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f132,f140,f143]) ).
fof(f175,plain,
! [X0] :
( distinct_points(sk0_0,X0)
| apart_point_and_line(X0,sk0_1)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f141,f62]) ).
fof(f177,plain,
! [X0] :
( distinct_points(sk0_0,intersection_point(sk0_1,X0))
| ~ convergent_lines(sk0_1,X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f175,f55]) ).
fof(f180,plain,
( ~ convergent_lines(sk0_1,sk0_2)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f177,f133]) ).
fof(f181,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f180,f131]) ).
fof(f182,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f181]) ).
fof(f183,plain,
! [X0] :
( distinct_points(sk0_0,X0)
| apart_point_and_line(X0,sk0_2)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f144,f62]) ).
fof(f184,plain,
! [X0] :
( distinct_points(sk0_0,intersection_point(X0,sk0_2))
| ~ convergent_lines(X0,sk0_2)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f183,f57]) ).
fof(f187,plain,
( ~ convergent_lines(sk0_1,sk0_2)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f184,f133]) ).
fof(f188,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f187,f131]) ).
fof(f189,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f188]) ).
fof(f190,plain,
$false,
inference(sat_refutation,[status(thm)],[f146,f182,f189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n003.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 May 30 12:01:53 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.33 % Refutation found
% 0.16/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54 % Elapsed time: 0.014391 seconds
% 0.16/0.54 % CPU time: 0.013352 seconds
% 0.16/0.54 % Memory used: 618.103 KB
%------------------------------------------------------------------------------