TSTP Solution File: GEO179+2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:08:04 EDT 2023
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 8 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 110 ( 45 ~; 44 |; 11 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 45 (; 42 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,conjecture,
! [X,Y,Z] :
( ( distinct_points(X,Y)
& apart_point_and_line(Z,line_connecting(X,Y)) )
=> ( distinct_lines(line_connecting(X,Y),line_connecting(Z,X))
& distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& apart_point_and_line(Z,line_connecting(X,Y)) )
=> ( distinct_lines(line_connecting(X,Y),line_connecting(Z,X))
& distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f27,plain,
! [X,Y,Z] :
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Z,line_connecting(X,Y))
| ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f28,plain,
! [X,Y] :
( ~ distinct_points(X,Y)
| ! [Z] :
( ~ apart_point_and_line(Z,line_connecting(X,Y))
| ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
inference(miniscoping,[status(esa)],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f40,plain,
! [X,Y,Z] :
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f41,plain,
! [X,Y] :
( ~ apart_point_and_line(X,Y)
| ! [Z] :
( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
inference(miniscoping,[status(esa)],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f45,plain,
? [X,Y,Z] :
( distinct_points(X,Y)
& apart_point_and_line(Z,line_connecting(X,Y))
& ( ~ distinct_lines(line_connecting(X,Y),line_connecting(Z,X))
| ~ distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f46,plain,
( distinct_points(sk0_0,sk0_1)
& apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))
& ( ~ distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_2,sk0_0))
| ~ distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_2,sk0_1)) ) ),
inference(skolemization,[status(esa)],[f45]) ).
fof(f47,plain,
distinct_points(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1)),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f49,plain,
( ~ distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_2,sk0_0))
| ~ distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_2,sk0_1)) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f50,plain,
( spl0_0
<=> distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_2,sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f52,plain,
( ~ distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_2,sk0_0))
| spl0_0 ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,plain,
( spl0_1
<=> distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_2,sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f55,plain,
( ~ distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_2,sk0_1))
| spl0_1 ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f49,f50,f53]) ).
fof(f60,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(resolution,[status(thm)],[f29,f15]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,X2)
| distinct_lines(X2,line_connecting(X0,X1)) ),
inference(resolution,[status(thm)],[f60,f42]) ).
fof(f72,plain,
( spl0_2
<=> distinct_points(sk0_2,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f74,plain,
( ~ distinct_points(sk0_2,sk0_0)
| spl0_2 ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,plain,
( spl0_3
<=> apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f77,plain,
( ~ apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))
| spl0_3 ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,plain,
( ~ distinct_points(sk0_2,sk0_0)
| ~ apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))
| spl0_0 ),
inference(resolution,[status(thm)],[f70,f52]) ).
fof(f79,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_0 ),
inference(split_clause,[status(thm)],[f78,f72,f75,f50]) ).
fof(f82,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f77,f48]) ).
fof(f83,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f82]) ).
fof(f85,plain,
! [X0] :
( ~ distinct_points(sk0_0,X0)
| ~ apart_point_and_line(sk0_2,line_connecting(sk0_0,X0))
| spl0_2 ),
inference(resolution,[status(thm)],[f74,f29]) ).
fof(f91,plain,
( spl0_4
<=> distinct_points(sk0_2,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f93,plain,
( ~ distinct_points(sk0_2,sk0_1)
| spl0_4 ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,plain,
( ~ distinct_points(sk0_2,sk0_1)
| ~ apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))
| spl0_1 ),
inference(resolution,[status(thm)],[f55,f70]) ).
fof(f95,plain,
( ~ spl0_4
| ~ spl0_3
| spl0_1 ),
inference(split_clause,[status(thm)],[f94,f91,f75,f53]) ).
fof(f105,plain,
! [X0] :
( ~ distinct_points(X0,sk0_1)
| ~ apart_point_and_line(sk0_2,line_connecting(X0,sk0_1))
| spl0_4 ),
inference(resolution,[status(thm)],[f93,f30]) ).
fof(f155,plain,
( ~ distinct_points(sk0_0,sk0_1)
| spl0_2 ),
inference(resolution,[status(thm)],[f85,f48]) ).
fof(f156,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f155,f47]) ).
fof(f157,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f156]) ).
fof(f185,plain,
( ~ distinct_points(sk0_0,sk0_1)
| spl0_4 ),
inference(resolution,[status(thm)],[f105,f48]) ).
fof(f186,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f47]) ).
fof(f187,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f186]) ).
fof(f188,plain,
$false,
inference(sat_refutation,[status(thm)],[f56,f79,f83,f95,f157,f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 11:56:10 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.31/0.58 % Elapsed time: 0.024332 seconds
% 0.31/0.58 % CPU time: 0.089219 seconds
% 0.31/0.58 % Memory used: 3.411 MB
%------------------------------------------------------------------------------