TSTP Solution File: GEO176+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO176+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:08:03 EDT 2023
% Result : Theorem 0.09s 0.31s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 68 ( 24 ~; 22 |; 15 &)
% ( 3 <=>; 4 =>; 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 : 31 (; 23 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p') ).
fof(f13,conjecture,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(X,U)
| apart_point_and_line(X,V) ) )
=> distinct_points(X,intersection_point(U,V)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(X,U)
| apart_point_and_line(X,V) ) )
=> distinct_points(X,intersection_point(U,V)) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
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(f45,plain,
? [X,Y,U,V] :
( distinct_points(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(X,U)
| apart_point_and_line(X,V) )
& ~ distinct_points(X,intersection_point(U,V)) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f46,plain,
? [X,U,V] :
( ? [Y] : distinct_points(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(X,U)
| apart_point_and_line(X,V) )
& ~ distinct_points(X,intersection_point(U,V)) ),
inference(miniscoping,[status(esa)],[f45]) ).
fof(f47,plain,
( distinct_points(sk0_0,sk0_3)
& convergent_lines(sk0_1,sk0_2)
& ( apart_point_and_line(sk0_0,sk0_1)
| apart_point_and_line(sk0_0,sk0_2) )
& ~ distinct_points(sk0_0,intersection_point(sk0_1,sk0_2)) ),
inference(skolemization,[status(esa)],[f46]) ).
fof(f49,plain,
convergent_lines(sk0_1,sk0_2),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f50,plain,
( apart_point_and_line(sk0_0,sk0_1)
| apart_point_and_line(sk0_0,sk0_2) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f51,plain,
~ distinct_points(sk0_0,intersection_point(sk0_1,sk0_2)),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f52,plain,
( spl0_0
<=> apart_point_and_line(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f55,plain,
( spl0_1
<=> apart_point_and_line(sk0_0,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f50,f52,f55]) ).
fof(f78,plain,
( spl0_2
<=> convergent_lines(sk0_1,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f80,plain,
( ~ convergent_lines(sk0_1,sk0_2)
| spl0_2 ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( ~ convergent_lines(sk0_1,sk0_2)
| ~ apart_point_and_line(sk0_0,sk0_1) ),
inference(resolution,[status(thm)],[f33,f51]) ).
fof(f82,plain,
( ~ spl0_2
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f81,f78,f52]) ).
fof(f85,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f80,f49]) ).
fof(f86,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( ~ convergent_lines(sk0_1,sk0_2)
| ~ apart_point_and_line(sk0_0,sk0_2) ),
inference(resolution,[status(thm)],[f34,f51]) ).
fof(f88,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f87,f78,f55]) ).
fof(f91,plain,
$false,
inference(sat_refutation,[status(thm)],[f58,f82,f86,f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO176+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n025.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 12:11:27 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.09/0.31 % Refutation found
% 0.09/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.31 % Elapsed time: 0.013426 seconds
% 0.14/0.53 % CPU time: 0.013841 seconds
% 0.14/0.53 % Memory used: 553.202 KB
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