TSTP Solution File: GEO225+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO225+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:08:26 EDT 2023
% Result : Theorem 0.06s 0.28s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 67 ( 27 ~; 13 |; 20 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 38 (; 32 !; 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(f34,axiom,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,conjecture,
! [A,B] :
( ( point(A)
& point(B)
& distinct_points(A,B) )
=> ? [X] :
( line(X)
=> ( incident_point_and_line(A,X)
& incident_point_and_line(B,X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [A,B] :
( ( point(A)
& point(B)
& distinct_points(A,B) )
=> ? [X] :
( line(X)
=> ( incident_point_and_line(A,X)
& incident_point_and_line(B,X) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f50,plain,
! [X,Y] :
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(X,line_connecting(X,Y)) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f51,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f52,plain,
! [X,Y] :
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f53,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f119,plain,
! [X,Y] :
( ( ~ incident_point_and_line(X,Y)
| ~ apart_point_and_line(X,Y) )
& ( incident_point_and_line(X,Y)
| apart_point_and_line(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f34]) ).
fof(f120,plain,
( ! [X,Y] :
( ~ incident_point_and_line(X,Y)
| ~ apart_point_and_line(X,Y) )
& ! [X,Y] :
( incident_point_and_line(X,Y)
| apart_point_and_line(X,Y) ) ),
inference(miniscoping,[status(esa)],[f119]) ).
fof(f122,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f120]) ).
fof(f127,plain,
? [A,B] :
( point(A)
& point(B)
& distinct_points(A,B)
& ! [X] :
( line(X)
& ( ~ incident_point_and_line(A,X)
| ~ incident_point_and_line(B,X) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f128,plain,
? [A,B] :
( point(A)
& point(B)
& distinct_points(A,B)
& ! [X] : line(X)
& ! [X] :
( ~ incident_point_and_line(A,X)
| ~ incident_point_and_line(B,X) ) ),
inference(miniscoping,[status(esa)],[f127]) ).
fof(f129,plain,
( point(sk0_0)
& point(sk0_1)
& distinct_points(sk0_0,sk0_1)
& ! [X] : line(X)
& ! [X] :
( ~ incident_point_and_line(sk0_0,X)
| ~ incident_point_and_line(sk0_1,X) ) ),
inference(skolemization,[status(esa)],[f128]) ).
fof(f132,plain,
distinct_points(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f134,plain,
! [X0] :
( ~ incident_point_and_line(sk0_0,X0)
| ~ incident_point_and_line(sk0_1,X0) ),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f174,plain,
~ apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1)),
inference(resolution,[status(thm)],[f51,f132]) ).
fof(f180,plain,
~ apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1)),
inference(resolution,[status(thm)],[f53,f132]) ).
fof(f206,plain,
incident_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1)),
inference(resolution,[status(thm)],[f174,f122]) ).
fof(f223,plain,
incident_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1)),
inference(resolution,[status(thm)],[f180,f122]) ).
fof(f225,plain,
~ incident_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1)),
inference(resolution,[status(thm)],[f223,f134]) ).
fof(f226,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f225,f206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO225+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n011.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 12:01:57 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 0.06/0.28 % Refutation found
% 0.06/0.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.49 % Elapsed time: 0.017022 seconds
% 0.10/0.49 % CPU time: 0.038985 seconds
% 0.10/0.49 % Memory used: 2.039 MB
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