TSTP Solution File: GEO225+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:17:38 EDT 2024
% Result : Theorem 0.20s 0.38s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 57 ( 20 ~; 12 |; 18 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 23 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
! [A,B] :
( ( point(A)
& point(B)
& distinct_points(A,B) )
=> ? [X] :
( line(X)
=> ( ~ apart_point_and_line(A,X)
& ~ apart_point_and_line(B,X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ! [A,B] :
( ( point(A)
& point(B)
& distinct_points(A,B) )
=> ? [X] :
( line(X)
=> ( ~ apart_point_and_line(A,X)
& ~ apart_point_and_line(B,X) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f33,plain,
! [X,Y] :
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(X,line_connecting(X,Y)) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f34,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f35,plain,
! [X,Y] :
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f36,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f60,plain,
? [A,B] :
( point(A)
& point(B)
& distinct_points(A,B)
& ! [X] :
( line(X)
& ( apart_point_and_line(A,X)
| apart_point_and_line(B,X) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f61,plain,
? [A,B] :
( point(A)
& point(B)
& distinct_points(A,B)
& ! [X] : line(X)
& ! [X] :
( apart_point_and_line(A,X)
| apart_point_and_line(B,X) ) ),
inference(miniscoping,[status(esa)],[f60]) ).
fof(f62,plain,
( point(sk0_0)
& point(sk0_1)
& distinct_points(sk0_0,sk0_1)
& ! [X] : line(X)
& ! [X] :
( apart_point_and_line(sk0_0,X)
| apart_point_and_line(sk0_1,X) ) ),
inference(skolemization,[status(esa)],[f61]) ).
fof(f65,plain,
distinct_points(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f67,plain,
! [X0] :
( apart_point_and_line(sk0_0,X0)
| apart_point_and_line(sk0_1,X0) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f80,plain,
! [X0] :
( ~ distinct_points(X0,sk0_1)
| apart_point_and_line(sk0_0,line_connecting(X0,sk0_1)) ),
inference(resolution,[status(thm)],[f36,f67]) ).
fof(f82,plain,
( spl0_1
<=> distinct_points(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f84,plain,
( ~ distinct_points(sk0_0,sk0_1)
| spl0_1 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( ~ distinct_points(sk0_0,sk0_1)
| ~ distinct_points(sk0_0,sk0_1) ),
inference(resolution,[status(thm)],[f80,f34]) ).
fof(f86,plain,
~ spl0_1,
inference(split_clause,[status(thm)],[f85,f82]) ).
fof(f87,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f65]) ).
fof(f88,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f87]) ).
fof(f89,plain,
$false,
inference(sat_refutation,[status(thm)],[f86,f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:39:48 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 0.20/0.38 % Refutation found
% 0.20/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.38 % Elapsed time: 0.022867 seconds
% 0.20/0.38 % CPU time: 0.051203 seconds
% 0.20/0.38 % Total memory used: 2.342 MB
% 0.20/0.38 % Net memory used: 2.302 MB
%------------------------------------------------------------------------------