TSTP Solution File: GEO197+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO197+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:08:13 EDT 2023
% Result : Theorem 2.51s 0.72s
% Output : CNFRefutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 13 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 86 ( 32 ~; 32 |; 16 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 96 (; 93 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_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] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z)
& incident_point_and_line(intersection_point(X,Y),Z) )
=> incident_point_and_line(intersection_point(Z,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z)
& incident_point_and_line(intersection_point(X,Y),Z) )
=> incident_point_and_line(intersection_point(Z,Y),X) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f40,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f47,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f48,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ! [Z] :
( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
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] :
( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z)
& incident_point_and_line(intersection_point(X,Y),Z)
& ~ incident_point_and_line(intersection_point(Z,Y),X) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f128,plain,
( convergent_lines(sk0_0,sk0_1)
& convergent_lines(sk0_2,sk0_1)
& convergent_lines(sk0_0,sk0_2)
& incident_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)
& ~ incident_point_and_line(intersection_point(sk0_2,sk0_1),sk0_0) ),
inference(skolemization,[status(esa)],[f127]) ).
fof(f133,plain,
~ incident_point_and_line(intersection_point(sk0_2,sk0_1),sk0_0),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f140,plain,
apart_point_and_line(intersection_point(sk0_2,sk0_1),sk0_0),
inference(resolution,[status(thm)],[f122,f133]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,parallel_through_point(X1,X2))
| convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f71,f49]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0)
| convergent_lines(X2,parallel_through_point(X1,X3)) ),
inference(resolution,[status(thm)],[f142,f49]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( convergent_lines(X0,X1)
| ~ convergent_lines(parallel_through_point(parallel_through_point(X1,X2),X3),X0) ),
inference(resolution,[status(thm)],[f143,f71]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X2,parallel_through_point(parallel_through_point(X1,X3),X4))
| convergent_lines(X2,X0) ),
inference(resolution,[status(thm)],[f144,f49]) ).
fof(f415,plain,
! [X0,X1,X2,X3] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X0,parallel_through_point(parallel_through_point(X1,X2),X3)) ),
inference(resolution,[status(thm)],[f150,f40]) ).
fof(f422,plain,
! [X0,X1,X2] : ~ convergent_lines(X0,parallel_through_point(parallel_through_point(X0,X1),X2)),
inference(resolution,[status(thm)],[f415,f40]) ).
fof(f471,plain,
! [X0,X1,X2] :
( convergent_lines(X0,parallel_through_point(X1,X2))
| ~ convergent_lines(X1,X0) ),
inference(resolution,[status(thm)],[f422,f143]) ).
fof(f572,plain,
! [X0,X1] : ~ convergent_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[status(thm)],[f471,f40]) ).
fof(f633,plain,
! [X0,X1,X2,X3] : ~ convergent_lines(X0,parallel_through_point(parallel_through_point(parallel_through_point(X0,X1),X2),X3)),
inference(resolution,[status(thm)],[f572,f415]) ).
fof(f713,plain,
! [X0] :
( distinct_lines(sk0_0,X0)
| apart_point_and_line(intersection_point(sk0_2,sk0_1),X0) ),
inference(resolution,[status(thm)],[f65,f140]) ).
fof(f1054,plain,
! [X0] :
( apart_point_and_line(intersection_point(sk0_2,sk0_1),X0)
| convergent_lines(sk0_0,X0) ),
inference(resolution,[status(thm)],[f713,f70]) ).
fof(f1165,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(sk0_2,sk0_1),parallel_through_point(X0,X1))
| convergent_lines(sk0_0,X0) ),
inference(resolution,[status(thm)],[f1054,f142]) ).
fof(f1611,plain,
! [X0] : convergent_lines(sk0_0,X0),
inference(resolution,[status(thm)],[f1165,f72]) ).
fof(f1660,plain,
$false,
inference(resolution,[status(thm)],[f1611,f633]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO197+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.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 May 30 12:00:38 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 2.51/0.72 % Refutation found
% 2.51/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.51/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.51/0.73 % Elapsed time: 0.382237 seconds
% 2.51/0.73 % CPU time: 2.940436 seconds
% 2.51/0.73 % Memory used: 23.249 MB
%------------------------------------------------------------------------------