TSTP Solution File: GEO186+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO186+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:08:07 EDT 2023
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 11 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 133 ( 54 ~; 50 |; 19 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 62 (; 54 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f11,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,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(f16,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)],[f15]) ).
fof(f19,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f33,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),X) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f34,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f35,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),Y) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f36,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f37,plain,
! [X,Y,U,V] :
( ~ distinct_points(X,Y)
| ~ distinct_lines(U,V)
| apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f45,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| distinct_lines(Y,Z)
| convergent_lines(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f46,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ! [Z] :
( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
inference(miniscoping,[status(esa)],[f45]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,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)],[f16]) ).
fof(f49,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)],[f48]) ).
fof(f50,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)],[f49]) ).
fof(f52,plain,
convergent_lines(sk0_1,sk0_2),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f53,plain,
~ apart_point_and_line(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f54,plain,
~ apart_point_and_line(sk0_0,sk0_2),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f55,plain,
distinct_points(sk0_0,intersection_point(sk0_1,sk0_2)),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f60,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X0) ),
inference(resolution,[status(thm)],[f47,f19]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( ~ convergent_lines(X0,X1)
| ~ distinct_points(X2,X3)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0) ),
inference(resolution,[status(thm)],[f60,f38]) ).
fof(f185,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| apart_point_and_line(sk0_0,X1)
| apart_point_and_line(sk0_0,X0)
| apart_point_and_line(intersection_point(sk0_1,sk0_2),X1)
| apart_point_and_line(intersection_point(sk0_1,sk0_2),X0) ),
inference(resolution,[status(thm)],[f61,f55]) ).
fof(f191,plain,
( spl0_0
<=> apart_point_and_line(sk0_0,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f192,plain,
( apart_point_and_line(sk0_0,sk0_2)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( spl0_1
<=> apart_point_and_line(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f195,plain,
( apart_point_and_line(sk0_0,sk0_1)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,plain,
( spl0_2
<=> apart_point_and_line(intersection_point(sk0_1,sk0_2),sk0_2) ),
introduced(split_symbol_definition) ).
fof(f198,plain,
( apart_point_and_line(intersection_point(sk0_1,sk0_2),sk0_2)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,plain,
( spl0_3
<=> apart_point_and_line(intersection_point(sk0_1,sk0_2),sk0_1) ),
introduced(split_symbol_definition) ).
fof(f201,plain,
( apart_point_and_line(intersection_point(sk0_1,sk0_2),sk0_1)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( apart_point_and_line(sk0_0,sk0_2)
| apart_point_and_line(sk0_0,sk0_1)
| apart_point_and_line(intersection_point(sk0_1,sk0_2),sk0_2)
| apart_point_and_line(intersection_point(sk0_1,sk0_2),sk0_1) ),
inference(resolution,[status(thm)],[f185,f52]) ).
fof(f204,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f203,f191,f194,f197,f200]) ).
fof(f223,plain,
( ~ convergent_lines(sk0_1,sk0_2)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f201,f34]) ).
fof(f224,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f52]) ).
fof(f225,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( ~ convergent_lines(sk0_1,sk0_2)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f198,f36]) ).
fof(f227,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f226,f52]) ).
fof(f228,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f192,f54]) ).
fof(f230,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f229]) ).
fof(f231,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f195,f53]) ).
fof(f232,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f231]) ).
fof(f233,plain,
$false,
inference(sat_refutation,[status(thm)],[f204,f225,f228,f230,f232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 12:17:03 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % 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
% 0.18/0.36 % Elapsed time: 0.026572 seconds
% 0.18/0.36 % CPU time: 0.085053 seconds
% 0.18/0.36 % Memory used: 2.125 MB
%------------------------------------------------------------------------------