TSTP Solution File: GEO191+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:08:10 EDT 2023
% Result : Theorem 2.13s 0.67s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 11 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 104 ( 39 ~; 46 |; 12 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 86 (; 82 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,conjecture,
! [X,Y,U,V] :
( ( convergent_lines(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(intersection_point(X,Y),U)
| apart_point_and_line(intersection_point(X,Y),V) ) )
=> ( apart_point_and_line(intersection_point(U,V),X)
| apart_point_and_line(intersection_point(U,V),Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [X,Y,U,V] :
( ( convergent_lines(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(intersection_point(X,Y),U)
| apart_point_and_line(intersection_point(X,Y),V) ) )
=> ( apart_point_and_line(intersection_point(U,V),X)
| apart_point_and_line(intersection_point(U,V),Y) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f40,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f47,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f48,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ! [Z] :
( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f63,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)],[f13]) ).
fof(f64,plain,
! [X,Y] :
( ~ apart_point_and_line(X,Y)
| ! [Z] :
( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
inference(miniscoping,[status(esa)],[f63]) ).
fof(f65,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)],[f64]) ).
fof(f69,plain,
! [X,Y] :
( ~ distinct_lines(X,Y)
| convergent_lines(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f70,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f71,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f72,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f127,plain,
? [X,Y,U,V] :
( convergent_lines(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(intersection_point(X,Y),U)
| apart_point_and_line(intersection_point(X,Y),V) )
& ~ apart_point_and_line(intersection_point(U,V),X)
& ~ apart_point_and_line(intersection_point(U,V),Y) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f128,plain,
( convergent_lines(sk0_0,sk0_1)
& convergent_lines(sk0_2,sk0_3)
& ( apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)
| apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_3) )
& ~ apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_0)
& ~ apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_1) ),
inference(skolemization,[status(esa)],[f127]) ).
fof(f131,plain,
( apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)
| apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_3) ),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f140,plain,
( spl0_0
<=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2) ),
introduced(split_symbol_definition) ).
fof(f141,plain,
( apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( spl0_1
<=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_3) ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_3)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f131,f140,f143]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,parallel_through_point(X1,X2))
| convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f71,f49]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0)
| convergent_lines(X2,parallel_through_point(X1,X3)) ),
inference(resolution,[status(thm)],[f147,f49]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( convergent_lines(X0,X1)
| ~ convergent_lines(parallel_through_point(parallel_through_point(X1,X2),X3),X0) ),
inference(resolution,[status(thm)],[f148,f71]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X2,parallel_through_point(parallel_through_point(X1,X3),X4))
| convergent_lines(X2,X0) ),
inference(resolution,[status(thm)],[f149,f49]) ).
fof(f391,plain,
! [X0,X1,X2,X3] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X0,parallel_through_point(parallel_through_point(X1,X2),X3)) ),
inference(resolution,[status(thm)],[f155,f40]) ).
fof(f396,plain,
! [X0] :
( distinct_lines(sk0_2,X0)
| apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f65,f141]) ).
fof(f418,plain,
! [X0,X1,X2] : ~ convergent_lines(X0,parallel_through_point(parallel_through_point(X0,X1),X2)),
inference(resolution,[status(thm)],[f391,f40]) ).
fof(f452,plain,
! [X0,X1,X2] :
( convergent_lines(X0,parallel_through_point(X1,X2))
| ~ convergent_lines(X1,X0) ),
inference(resolution,[status(thm)],[f418,f148]) ).
fof(f465,plain,
! [X0,X1] : ~ convergent_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[status(thm)],[f452,f40]) ).
fof(f521,plain,
! [X0] :
( apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)
| convergent_lines(sk0_2,X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f396,f70]) ).
fof(f525,plain,
! [X0] :
( apart_point_and_line(intersection_point(sk0_0,sk0_1),parallel_through_point(sk0_2,X0))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f521,f465]) ).
fof(f530,plain,
( $false
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f525,f72]) ).
fof(f531,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f532,plain,
! [X0] :
( distinct_lines(sk0_3,X0)
| apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f144,f65]) ).
fof(f552,plain,
! [X0] :
( apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)
| convergent_lines(sk0_3,X0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f532,f70]) ).
fof(f562,plain,
! [X0] :
( apart_point_and_line(intersection_point(sk0_0,sk0_1),parallel_through_point(sk0_3,X0))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f552,f465]) ).
fof(f567,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f562,f72]) ).
fof(f568,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f567]) ).
fof(f569,plain,
$false,
inference(sat_refutation,[status(thm)],[f146,f531,f568]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 12:17:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 2.13/0.67 % Refutation found
% 2.13/0.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.13/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.13/0.68 % Elapsed time: 0.336557 seconds
% 2.13/0.68 % CPU time: 2.307177 seconds
% 2.13/0.68 % Memory used: 17.756 MB
%------------------------------------------------------------------------------