TSTP Solution File: GEO225+3 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : Tue Apr 30 20:17:38 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 6 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 39 ~; 28 |; 20 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 57 ( 51 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f38,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f41,plain,
! [X,Y,Z] :
( ~ distinct_points(X,Y)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f42,plain,
! [X,Y] :
( ~ distinct_points(X,Y)
| ! [Z] :
( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f41]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
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(f143,plain,
! [X0] :
( apart_point_and_line(sk0_1,X0)
| ~ incident_point_and_line(sk0_0,X0) ),
inference(resolution,[status(thm)],[f122,f134]) ).
fof(f144,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X0) ),
inference(resolution,[status(thm)],[f43,f38]) ).
fof(f153,plain,
! [X0] :
( ~ distinct_points(sk0_1,X0)
| ~ incident_point_and_line(sk0_0,line_connecting(sk0_1,X0)) ),
inference(resolution,[status(thm)],[f51,f143]) ).
fof(f157,plain,
! [X0] :
( ~ distinct_points(sk0_1,X0)
| apart_point_and_line(sk0_0,line_connecting(sk0_1,X0)) ),
inference(resolution,[status(thm)],[f153,f122]) ).
fof(f162,plain,
( spl0_0
<=> distinct_points(sk0_1,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f164,plain,
( ~ distinct_points(sk0_1,sk0_0)
| spl0_0 ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( ~ distinct_points(sk0_1,sk0_0)
| ~ distinct_points(sk0_1,sk0_0) ),
inference(resolution,[status(thm)],[f157,f53]) ).
fof(f166,plain,
~ spl0_0,
inference(split_clause,[status(thm)],[f165,f162]) ).
fof(f168,plain,
( ~ distinct_points(sk0_0,sk0_1)
| spl0_0 ),
inference(resolution,[status(thm)],[f164,f144]) ).
fof(f169,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f168,f132]) ).
fof(f170,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f169]) ).
fof(f171,plain,
$false,
inference(sat_refutation,[status(thm)],[f166,f170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO225+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 01:40:31 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.022922 seconds
% 0.13/0.38 % CPU time: 0.076742 seconds
% 0.13/0.38 % Total memory used: 3.704 MB
% 0.13/0.38 % Net memory used: 3.637 MB
%------------------------------------------------------------------------------