TSTP Solution File: GEO201+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO201+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:08:15 EDT 2023
% Result : Theorem 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 9 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 130 ( 54 ~; 62 |; 3 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 66 (; 64 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
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] :
( convergent_lines(X,Y)
=> ~ distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
~ ! [X,Y] :
( convergent_lines(X,Y)
=> ~ distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f19,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f26,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ! [Z] :
( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
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] :
( convergent_lines(X,Y)
& distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f49,plain,
( convergent_lines(sk0_0,sk0_1)
& distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_1,sk0_0)) ),
inference(skolemization,[status(esa)],[f48]) ).
fof(f50,plain,
convergent_lines(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f51,plain,
distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_1,sk0_0)),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f56,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X0) ),
inference(resolution,[status(thm)],[f28,f19]) ).
fof(f58,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X0) ),
inference(resolution,[status(thm)],[f47,f19]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ convergent_lines(X3,X2) ),
inference(resolution,[status(thm)],[f38,f58]) ).
fof(f67,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)
| apart_point_and_line(intersection_point(sk0_0,sk0_1),X1)
| apart_point_and_line(intersection_point(sk0_1,sk0_0),X0)
| apart_point_and_line(intersection_point(sk0_1,sk0_0),X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[status(thm)],[f66,f51]) ).
fof(f73,plain,
( spl0_0
<=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1) ),
introduced(split_symbol_definition) ).
fof(f74,plain,
( apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( spl0_1
<=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0) ),
introduced(split_symbol_definition) ).
fof(f77,plain,
( apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,plain,
( spl0_2
<=> apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_1) ),
introduced(split_symbol_definition) ).
fof(f80,plain,
( apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_1)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,plain,
( spl0_3
<=> apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_0) ),
introduced(split_symbol_definition) ).
fof(f83,plain,
( apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_0)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)
| apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)
| apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_1)
| apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_0) ),
inference(resolution,[status(thm)],[f67,f50]) ).
fof(f86,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f85,f73,f76,f79,f82]) ).
fof(f101,plain,
( ~ convergent_lines(sk0_1,sk0_0)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f83,f36]) ).
fof(f105,plain,
( ~ convergent_lines(sk0_0,sk0_1)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f101,f56]) ).
fof(f106,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f105,f50]) ).
fof(f107,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f106]) ).
fof(f108,plain,
( ~ convergent_lines(sk0_1,sk0_0)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f80,f34]) ).
fof(f112,plain,
( ~ convergent_lines(sk0_0,sk0_1)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f108,f56]) ).
fof(f113,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f50]) ).
fof(f114,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( ~ convergent_lines(sk0_0,sk0_1)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f74,f36]) ).
fof(f116,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f50]) ).
fof(f117,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f116]) ).
fof(f118,plain,
( ~ convergent_lines(sk0_0,sk0_1)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f77,f34]) ).
fof(f119,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f118,f50]) ).
fof(f120,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f119]) ).
fof(f121,plain,
$false,
inference(sat_refutation,[status(thm)],[f86,f107,f114,f117,f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO201+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33 % Computer : n023.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Tue May 30 12:17:08 EDT 2023
% 0.15/0.33 % CPUTime :
% 0.15/0.33 % Drodi V3.5.1
% 0.15/0.36 % Refutation found
% 0.15/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.38 % Elapsed time: 0.043499 seconds
% 0.15/0.38 % CPU time: 0.046803 seconds
% 0.15/0.38 % Memory used: 1.448 MB
%------------------------------------------------------------------------------