TSTP Solution File: GEO194+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO194+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:17:26 EDT 2024
% Result : Theorem 0.16s 0.34s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 11 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 140 ( 51 ~; 62 |; 15 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 57 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,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(f12,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,conjecture,
! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z) )
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> apart_point_and_line(intersection_point(X,Z),Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z) )
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> apart_point_and_line(intersection_point(X,Z),Y) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| ( ~ apart_point_and_line(Z,X)
& ~ apart_point_and_line(Z,Y) )
| distinct_points(Z,intersection_point(X,Y)) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f32,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ! [Z] :
( ( ~ apart_point_and_line(Z,X)
& ~ apart_point_and_line(Z,Y) )
| distinct_points(Z,intersection_point(X,Y)) ) ),
inference(miniscoping,[status(esa)],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f35,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)],[f9]) ).
fof(f36,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)],[f35]) ).
fof(f43,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| distinct_lines(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f44,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f45,plain,
? [X,Y,Z] :
( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z)
& apart_point_and_line(intersection_point(X,Y),Z)
& ~ apart_point_and_line(intersection_point(X,Z),Y) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f46,plain,
( convergent_lines(sk0_0,sk0_1)
& convergent_lines(sk0_2,sk0_1)
& convergent_lines(sk0_0,sk0_2)
& apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)
& ~ apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_1) ),
inference(skolemization,[status(esa)],[f45]) ).
fof(f47,plain,
convergent_lines(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f49,plain,
convergent_lines(sk0_0,sk0_2),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f50,plain,
apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f51,plain,
~ apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_1),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f52,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(resolution,[status(thm)],[f15,f34]) ).
fof(f53,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(resolution,[status(thm)],[f15,f33]) ).
fof(f60,plain,
! [X0,X1,X2,X3,X4] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(intersection_point(X3,X4),X0)
| apart_point_and_line(intersection_point(X3,X4),X1)
| ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(X2,X4) ),
inference(resolution,[status(thm)],[f36,f34]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ distinct_lines(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(X2,sk0_2),X0)
| apart_point_and_line(intersection_point(X2,sk0_2),X1)
| ~ convergent_lines(X2,sk0_2) ),
inference(resolution,[status(thm)],[f60,f50]) ).
fof(f65,plain,
! [X0,X1] :
( ~ distinct_lines(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_0,sk0_2),X0)
| apart_point_and_line(intersection_point(sk0_0,sk0_2),X1) ),
inference(resolution,[status(thm)],[f64,f49]) ).
fof(f91,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_0,sk0_2),X0)
| apart_point_and_line(intersection_point(sk0_0,sk0_2),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f65,f44]) ).
fof(f105,plain,
( spl0_5
<=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1) ),
introduced(split_symbol_definition) ).
fof(f106,plain,
( apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( spl0_6
<=> apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_1) ),
introduced(split_symbol_definition) ).
fof(f109,plain,
( apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_1)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f113,plain,
( spl0_7
<=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0) ),
introduced(split_symbol_definition) ).
fof(f114,plain,
( apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( spl0_8
<=> apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0) ),
introduced(split_symbol_definition) ).
fof(f117,plain,
( apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f121,plain,
( apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)
| apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)
| apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0)
| apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_1) ),
inference(resolution,[status(thm)],[f91,f47]) ).
fof(f122,plain,
( spl0_7
| spl0_5
| spl0_8
| spl0_6 ),
inference(split_clause,[status(thm)],[f121,f113,f105,f116,f108]) ).
fof(f124,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f51]) ).
fof(f125,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( ~ convergent_lines(sk0_0,sk0_2)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f117,f53]) ).
fof(f127,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f126,f49]) ).
fof(f128,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( ~ convergent_lines(sk0_0,sk0_1)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f114,f53]) ).
fof(f130,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f129,f47]) ).
fof(f131,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f130]) ).
fof(f151,plain,
( ~ convergent_lines(sk0_0,sk0_1)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f152,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f151,f47]) ).
fof(f153,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f152]) ).
fof(f154,plain,
$false,
inference(sat_refutation,[status(thm)],[f122,f125,f128,f131,f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GEO194+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n008.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 01:32:12 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.6.0
% 0.16/0.34 % Refutation found
% 0.16/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.34 % Elapsed time: 0.024793 seconds
% 0.16/0.34 % CPU time: 0.123928 seconds
% 0.16/0.34 % Total memory used: 6.661 MB
% 0.16/0.34 % Net memory used: 6.435 MB
%------------------------------------------------------------------------------