TSTP Solution File: GEO195+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO195+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:08:12 EDT 2023
% Result : Theorem 0.11s 0.45s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 12 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 103 ( 36 ~; 48 |; 12 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 119 (; 116 !; 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(f36,conjecture,
! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z) )
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> apart_point_and_line(intersection_point(Y,X),Z) ) ),
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) )
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> apart_point_and_line(intersection_point(Y,X),Z) ) ),
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(f127,plain,
? [X,Y,Z] :
( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z)
& apart_point_and_line(intersection_point(X,Y),Z)
& ~ apart_point_and_line(intersection_point(Y,X),Z) ),
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)
& apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)
& ~ apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_2) ),
inference(skolemization,[status(esa)],[f127]) ).
fof(f132,plain,
apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,parallel_through_point(X1,X2))
| convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f71,f49]) ).
fof(f141,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)],[f140,f49]) ).
fof(f144,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| ~ convergent_lines(parallel_through_point(X1,X2),X0) ),
inference(resolution,[status(thm)],[f141,f40]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X2,parallel_through_point(X1,X3))
| convergent_lines(X2,X0) ),
inference(resolution,[status(thm)],[f144,f49]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X0)
| convergent_lines(X3,X1)
| ~ convergent_lines(X2,X3) ),
inference(resolution,[status(thm)],[f146,f141]) ).
fof(f189,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(resolution,[status(thm)],[f158,f40]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( convergent_lines(X0,X1)
| ~ convergent_lines(parallel_through_point(X2,X3),X1)
| convergent_lines(X0,X2) ),
inference(resolution,[status(thm)],[f189,f144]) ).
fof(f195,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| ~ convergent_lines(parallel_through_point(X0,X2),X1) ),
inference(resolution,[status(thm)],[f189,f71]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( convergent_lines(parallel_through_point(X0,X1),X2)
| ~ convergent_lines(X3,X2)
| convergent_lines(X3,X0) ),
inference(resolution,[status(thm)],[f189,f140]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X2,parallel_through_point(X0,X3))
| convergent_lines(X2,X1) ),
inference(resolution,[status(thm)],[f195,f49]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X3,X1)
| convergent_lines(X3,X2) ),
inference(resolution,[status(thm)],[f197,f194]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| convergent_lines(X3,X0)
| ~ convergent_lines(X2,X3) ),
inference(resolution,[status(thm)],[f204,f141]) ).
fof(f303,plain,
! [X0,X1,X2,X3] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(parallel_through_point(X1,X3),X2) ),
inference(resolution,[status(thm)],[f221,f71]) ).
fof(f337,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,parallel_through_point(X1,X2)) ),
inference(resolution,[status(thm)],[f303,f40]) ).
fof(f347,plain,
! [X0,X1,X2] : ~ convergent_lines(parallel_through_point(parallel_through_point(X0,X1),X2),X0),
inference(resolution,[status(thm)],[f337,f71]) ).
fof(f354,plain,
! [X0,X1,X2,X3] : ~ convergent_lines(parallel_through_point(parallel_through_point(parallel_through_point(X0,X1),X2),X3),X0),
inference(resolution,[status(thm)],[f347,f337]) ).
fof(f662,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X0)
| ~ convergent_lines(X1,X2) ),
inference(resolution,[status(thm)],[f243,f40]) ).
fof(f707,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[status(thm)],[f662,f40]) ).
fof(f730,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)],[f707,f354]) ).
fof(f952,plain,
! [X0] :
( distinct_lines(sk0_2,X0)
| apart_point_and_line(intersection_point(sk0_0,sk0_1),X0) ),
inference(resolution,[status(thm)],[f65,f132]) ).
fof(f1117,plain,
! [X0] :
( apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)
| convergent_lines(sk0_2,X0) ),
inference(resolution,[status(thm)],[f952,f70]) ).
fof(f1135,plain,
! [X0] : convergent_lines(sk0_2,parallel_through_point(X0,intersection_point(sk0_0,sk0_1))),
inference(resolution,[status(thm)],[f1117,f72]) ).
fof(f1171,plain,
$false,
inference(resolution,[status(thm)],[f1135,f730]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : GEO195+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n016.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 12:29:59 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.11/0.27 % Drodi V3.5.1
% 0.11/0.45 % Refutation found
% 0.11/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.47 % Elapsed time: 0.203219 seconds
% 0.11/0.47 % CPU time: 1.233570 seconds
% 0.11/0.47 % Memory used: 16.401 MB
%------------------------------------------------------------------------------