TSTP Solution File: GEO253+3 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO253+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:17:46 EDT 2024
% Result : Theorem 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 60 ( 24 ~; 16 |; 16 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 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 : 46 ( 40 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( right_apart_point(X,Y)
<=> left_apart_point(X,reverse_line(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,L] :
( apart_point_and_line(A,L)
<=> ( left_apart_point(A,L)
| right_apart_point(A,L) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
! [A,B,L] :
( ( apart_point_and_line(A,L)
& incident_point_and_line(B,parallel_through_point(L,A)) )
=> apart_point_and_line(B,L) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ! [A,B,L] :
( ( apart_point_and_line(A,L)
& incident_point_and_line(B,parallel_through_point(L,A)) )
=> apart_point_and_line(B,L) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f43,plain,
! [X,Y] :
( ( ~ right_apart_point(X,Y)
| left_apart_point(X,reverse_line(Y)) )
& ( right_apart_point(X,Y)
| ~ left_apart_point(X,reverse_line(Y)) ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f44,plain,
( ! [X,Y] :
( ~ right_apart_point(X,Y)
| left_apart_point(X,reverse_line(Y)) )
& ! [X,Y] :
( right_apart_point(X,Y)
| ~ left_apart_point(X,reverse_line(Y)) ) ),
inference(miniscoping,[status(esa)],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ~ right_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f59,plain,
! [A,L] :
( ( ~ apart_point_and_line(A,L)
| left_apart_point(A,L)
| right_apart_point(A,L) )
& ( apart_point_and_line(A,L)
| ( ~ left_apart_point(A,L)
& ~ right_apart_point(A,L) ) ) ),
inference(NNF_transformation,[status(esa)],[f6]) ).
fof(f60,plain,
( ! [A,L] :
( ~ apart_point_and_line(A,L)
| left_apart_point(A,L)
| right_apart_point(A,L) )
& ! [A,L] :
( apart_point_and_line(A,L)
| ( ~ left_apart_point(A,L)
& ~ right_apart_point(A,L) ) ) ),
inference(miniscoping,[status(esa)],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| left_apart_point(X0,X1)
| right_apart_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f113,plain,
! [A,L] :
( ~ left_apart_point(A,L)
& ~ left_apart_point(A,reverse_line(L)) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f114,plain,
( ! [A,L] : ~ left_apart_point(A,L)
& ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
inference(miniscoping,[status(esa)],[f113]) ).
fof(f115,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f152,plain,
? [A,B,L] :
( apart_point_and_line(A,L)
& incident_point_and_line(B,parallel_through_point(L,A))
& ~ apart_point_and_line(B,L) ),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f153,plain,
? [B,L] :
( ? [A] :
( apart_point_and_line(A,L)
& incident_point_and_line(B,parallel_through_point(L,A)) )
& ~ apart_point_and_line(B,L) ),
inference(miniscoping,[status(esa)],[f152]) ).
fof(f154,plain,
( apart_point_and_line(sk0_2,sk0_1)
& incident_point_and_line(sk0_0,parallel_through_point(sk0_1,sk0_2))
& ~ apart_point_and_line(sk0_0,sk0_1) ),
inference(skolemization,[status(esa)],[f153]) ).
fof(f155,plain,
apart_point_and_line(sk0_2,sk0_1),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f161,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| right_apart_point(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f61,f115]) ).
fof(f162,plain,
right_apart_point(sk0_2,sk0_1),
inference(resolution,[status(thm)],[f161,f155]) ).
fof(f165,plain,
! [X0,X1] : ~ right_apart_point(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f45,f115]) ).
fof(f166,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f162,f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GEO253+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n023.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 01:50:55 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.32 % Elapsed time: 0.015022 seconds
% 0.14/0.32 % CPU time: 0.031627 seconds
% 0.14/0.32 % Total memory used: 2.815 MB
% 0.14/0.32 % Net memory used: 2.806 MB
%------------------------------------------------------------------------------