TSTP Solution File: GEO190+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO190+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:17:24 EDT 2024
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 23 ~; 26 |; 16 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 62 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_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(f34,axiom,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,conjecture,
! [X,Y,Z] :
( ( distinct_points(X,Y)
& distinct_points(X,Z)
& distinct_points(Y,Z)
& incident_point_and_line(Z,line_connecting(X,Y)) )
=> incident_point_and_line(Z,line_connecting(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& distinct_points(X,Z)
& distinct_points(Y,Z)
& incident_point_and_line(Z,line_connecting(X,Y)) )
=> incident_point_and_line(Z,line_connecting(Y,X)) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f39,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f44,plain,
! [X,Y,Z] :
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f45,plain,
! [X,Y] :
( ~ distinct_lines(X,Y)
| ! [Z] :
( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f44]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
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(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,
? [X,Y,Z] :
( distinct_points(X,Y)
& distinct_points(X,Z)
& distinct_points(Y,Z)
& incident_point_and_line(Z,line_connecting(X,Y))
& ~ incident_point_and_line(Z,line_connecting(Y,X)) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f128,plain,
( distinct_points(sk0_0,sk0_1)
& distinct_points(sk0_0,sk0_2)
& distinct_points(sk0_1,sk0_2)
& incident_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))
& ~ incident_point_and_line(sk0_2,line_connecting(sk0_1,sk0_0)) ),
inference(skolemization,[status(esa)],[f127]) ).
fof(f133,plain,
~ incident_point_and_line(sk0_2,line_connecting(sk0_1,sk0_0)),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f140,plain,
apart_point_and_line(sk0_2,line_connecting(sk0_1,sk0_0)),
inference(resolution,[status(thm)],[f122,f133]) ).
fof(f149,plain,
! [X0] :
( distinct_lines(line_connecting(sk0_1,sk0_0),X0)
| apart_point_and_line(sk0_2,X0) ),
inference(resolution,[status(thm)],[f65,f140]) ).
fof(f152,plain,
! [X0,X1] :
( apart_point_and_line(sk0_2,X0)
| distinct_lines(line_connecting(sk0_1,sk0_0),X1)
| distinct_lines(X0,X1) ),
inference(resolution,[status(thm)],[f149,f46]) ).
fof(f159,plain,
! [X0] :
( apart_point_and_line(sk0_2,X0)
| distinct_lines(X0,line_connecting(sk0_1,sk0_0)) ),
inference(resolution,[status(thm)],[f152,f39]) ).
fof(f161,plain,
! [X0] :
( apart_point_and_line(sk0_2,X0)
| convergent_lines(X0,line_connecting(sk0_1,sk0_0)) ),
inference(resolution,[status(thm)],[f159,f70]) ).
fof(f164,plain,
! [X0] : apart_point_and_line(sk0_2,parallel_through_point(line_connecting(sk0_1,sk0_0),X0)),
inference(resolution,[status(thm)],[f161,f71]) ).
fof(f167,plain,
$false,
inference(resolution,[status(thm)],[f164,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO190+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 01:48:20 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36 % Elapsed time: 0.021271 seconds
% 0.13/0.36 % CPU time: 0.054119 seconds
% 0.13/0.36 % Total memory used: 2.646 MB
% 0.13/0.36 % Net memory used: 2.641 MB
%------------------------------------------------------------------------------