TSTP Solution File: GEO193+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO193+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:17:25 EDT 2024
% Result : Theorem 0.18s 0.40s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 10 unt; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 161 ( 61 ~; 73 |; 13 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 74 ( 71 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(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/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(f14,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,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(Z,Y),X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,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(Z,Y),X) ) ),
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(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(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,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(Z,Y),X) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f49,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_2,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,
convergent_lines(sk0_2,sk0_1),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f53,plain,
apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f54,plain,
~ apart_point_and_line(intersection_point(sk0_2,sk0_1),sk0_0),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(intersection_point(X0,X1),X2)
| ~ distinct_lines(X1,X3)
| apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f38,f36]) ).
fof(f69,plain,
( spl0_1
<=> distinct_lines(sk0_1,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f71,plain,
( ~ distinct_lines(sk0_1,sk0_0)
| spl0_1 ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,plain,
( spl0_2
<=> convergent_lines(sk0_2,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f74,plain,
( ~ convergent_lines(sk0_2,sk0_1)
| spl0_2 ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ distinct_points(intersection_point(X0,X1),X2)
| ~ distinct_lines(X1,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f61,f34]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ distinct_points(intersection_point(X0,X1),X2)
| ~ distinct_lines(X1,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f79]) ).
fof(f83,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f74,f51]) ).
fof(f84,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f83]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ distinct_points(intersection_point(X0,X1),intersection_point(X2,X1))
| ~ distinct_lines(X1,X0)
| apart_point_and_line(intersection_point(X2,X1),X0)
| ~ convergent_lines(X0,X1)
| ~ convergent_lines(X2,X1) ),
inference(resolution,[status(thm)],[f80,f36]) ).
fof(f90,plain,
( spl0_3
<=> distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_2,sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f92,plain,
( ~ distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_2,sk0_1))
| spl0_3 ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,plain,
( spl0_4
<=> convergent_lines(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f95,plain,
( ~ convergent_lines(sk0_0,sk0_1)
| spl0_4 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( ~ distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_2,sk0_1))
| ~ distinct_lines(sk0_1,sk0_0)
| ~ convergent_lines(sk0_0,sk0_1)
| ~ convergent_lines(sk0_2,sk0_1) ),
inference(resolution,[status(thm)],[f86,f54]) ).
fof(f97,plain,
( ~ spl0_3
| ~ spl0_1
| ~ spl0_4
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f96,f90,f69,f93,f72]) ).
fof(f206,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f95,f50]) ).
fof(f207,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f206]) ).
fof(f228,plain,
! [X0] :
( ~ convergent_lines(X0,sk0_1)
| convergent_lines(X0,sk0_0)
| spl0_1 ),
inference(resolution,[status(thm)],[f71,f47]) ).
fof(f244,plain,
( ~ convergent_lines(sk0_0,sk0_1)
| spl0_1 ),
inference(resolution,[status(thm)],[f228,f19]) ).
fof(f245,plain,
( ~ spl0_4
| spl0_1 ),
inference(split_clause,[status(thm)],[f244,f93,f69]) ).
fof(f266,plain,
! [X0] :
( ~ apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)
| apart_point_and_line(intersection_point(sk0_2,sk0_1),X0)
| spl0_3 ),
inference(resolution,[status(thm)],[f92,f41]) ).
fof(f372,plain,
( spl0_29
<=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2) ),
introduced(split_symbol_definition) ).
fof(f374,plain,
( ~ apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)
| spl0_29 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f379,plain,
( ~ apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)
| ~ convergent_lines(sk0_2,sk0_1)
| spl0_3 ),
inference(resolution,[status(thm)],[f266,f34]) ).
fof(f380,plain,
( ~ spl0_29
| ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f379,f372,f72,f90]) ).
fof(f383,plain,
( $false
| spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f53]) ).
fof(f384,plain,
spl0_29,
inference(contradiction_clause,[status(thm)],[f383]) ).
fof(f385,plain,
$false,
inference(sat_refutation,[status(thm)],[f84,f97,f207,f245,f380,f384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO193+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n005.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Apr 30 01:24:56 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.18/0.40 % Refutation found
% 0.18/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.40 % Elapsed time: 0.049927 seconds
% 0.18/0.40 % CPU time: 0.304762 seconds
% 0.18/0.40 % Total memory used: 12.681 MB
% 0.18/0.40 % Net memory used: 12.260 MB
%------------------------------------------------------------------------------