TSTP Solution File: GEO185+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO185+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:17:22 EDT 2024
% Result : Theorem 0.09s 0.28s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 4 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 34 ~; 23 |; 15 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 33 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f15,conjecture,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ~ distinct_points(X,intersection_point(U,V)) )
=> ( ~ apart_point_and_line(X,U)
& ~ apart_point_and_line(X,V) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ~ distinct_points(X,intersection_point(U,V)) )
=> ( ~ apart_point_and_line(X,U)
& ~ apart_point_and_line(X,V) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
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(f39,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(f40,plain,
! [X,Y] :
( ~ apart_point_and_line(X,Y)
| ! [Z] :
( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f41,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)],[f40]) ).
fof(f48,plain,
? [X,Y,U,V] :
( distinct_points(X,Y)
& convergent_lines(U,V)
& ~ distinct_points(X,intersection_point(U,V))
& ( apart_point_and_line(X,U)
| apart_point_and_line(X,V) ) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f49,plain,
? [X,U,V] :
( ? [Y] : distinct_points(X,Y)
& convergent_lines(U,V)
& ~ distinct_points(X,intersection_point(U,V))
& ( apart_point_and_line(X,U)
| apart_point_and_line(X,V) ) ),
inference(miniscoping,[status(esa)],[f48]) ).
fof(f50,plain,
( distinct_points(sk0_0,sk0_3)
& convergent_lines(sk0_1,sk0_2)
& ~ distinct_points(sk0_0,intersection_point(sk0_1,sk0_2))
& ( apart_point_and_line(sk0_0,sk0_1)
| apart_point_and_line(sk0_0,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,
~ distinct_points(sk0_0,intersection_point(sk0_1,sk0_2)),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f54,plain,
( apart_point_and_line(sk0_0,sk0_1)
| apart_point_and_line(sk0_0,sk0_2) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f55,plain,
( spl0_0
<=> apart_point_and_line(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( spl0_1
<=> apart_point_and_line(sk0_0,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f54,f55,f58]) ).
fof(f68,plain,
! [X0] :
( ~ apart_point_and_line(sk0_0,X0)
| apart_point_and_line(intersection_point(sk0_1,sk0_2),X0) ),
inference(resolution,[status(thm)],[f41,f53]) ).
fof(f71,plain,
( spl0_2
<=> convergent_lines(sk0_1,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f73,plain,
( ~ convergent_lines(sk0_1,sk0_2)
| spl0_2 ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( ~ apart_point_and_line(sk0_0,sk0_2)
| ~ convergent_lines(sk0_1,sk0_2) ),
inference(resolution,[status(thm)],[f68,f36]) ).
fof(f75,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f74,f58,f71]) ).
fof(f76,plain,
( ~ apart_point_and_line(sk0_0,sk0_1)
| ~ convergent_lines(sk0_1,sk0_2) ),
inference(resolution,[status(thm)],[f68,f34]) ).
fof(f77,plain,
( ~ spl0_0
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f76,f55,f71]) ).
fof(f78,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f73,f52]) ).
fof(f79,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f78]) ).
fof(f80,plain,
$false,
inference(sat_refutation,[status(thm)],[f61,f75,f77,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO185+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.27 % Computer : n015.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Tue Apr 30 02:01:02 EDT 2024
% 0.09/0.27 % CPUTime :
% 0.09/0.28 % Drodi V3.6.0
% 0.09/0.28 % Refutation found
% 0.09/0.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.29 % Elapsed time: 0.012851 seconds
% 0.13/0.29 % CPU time: 0.030740 seconds
% 0.13/0.29 % Total memory used: 2.406 MB
% 0.13/0.29 % Net memory used: 2.353 MB
%------------------------------------------------------------------------------