TSTP Solution File: GEO237+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO237+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 12:08:29 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 69 ( 26 ~; 17 |; 21 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 47 (; 39 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B,L] :
( divides_points(L,A,B)
<=> ( ( left_apart_point(A,L)
& left_apart_point(B,reverse_line(L)) )
| ( left_apart_point(A,reverse_line(L))
& left_apart_point(B,L) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,conjecture,
! [A,B,C,L] :
( apart_point_and_line(C,L)
=> ( divides_points(L,A,B)
=> ( divides_points(L,A,C)
| divides_points(L,B,C) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [A,B,C,L] :
( apart_point_and_line(C,L)
=> ( divides_points(L,A,B)
=> ( divides_points(L,A,C)
| divides_points(L,B,C) ) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f44,plain,
! [A,B,L] :
( ( ~ divides_points(L,A,B)
| ( left_apart_point(A,L)
& left_apart_point(B,reverse_line(L)) )
| ( left_apart_point(A,reverse_line(L))
& left_apart_point(B,L) ) )
& ( divides_points(L,A,B)
| ( ( ~ left_apart_point(A,L)
| ~ left_apart_point(B,reverse_line(L)) )
& ( ~ left_apart_point(A,reverse_line(L))
| ~ left_apart_point(B,L) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f45,plain,
( ! [A,B,L] :
( ~ divides_points(L,A,B)
| ( left_apart_point(A,L)
& left_apart_point(B,reverse_line(L)) )
| ( left_apart_point(A,reverse_line(L))
& left_apart_point(B,L) ) )
& ! [A,B,L] :
( divides_points(L,A,B)
| ( ( ~ left_apart_point(A,L)
| ~ left_apart_point(B,reverse_line(L)) )
& ( ~ left_apart_point(A,reverse_line(L))
| ~ left_apart_point(B,L) ) ) ) ),
inference(miniscoping,[status(esa)],[f44]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ divides_points(X0,X1,X2)
| left_apart_point(X2,reverse_line(X0))
| left_apart_point(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f92,plain,
! [A,L] :
( ~ left_apart_point(A,L)
& ~ left_apart_point(A,reverse_line(L)) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f93,plain,
( ! [A,L] : ~ left_apart_point(A,L)
& ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
inference(miniscoping,[status(esa)],[f92]) ).
fof(f94,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f130,plain,
? [A,B,C,L] :
( apart_point_and_line(C,L)
& divides_points(L,A,B)
& ~ divides_points(L,A,C)
& ~ divides_points(L,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f131,plain,
? [C,L] :
( apart_point_and_line(C,L)
& ? [A,B] :
( divides_points(L,A,B)
& ~ divides_points(L,A,C)
& ~ divides_points(L,B,C) ) ),
inference(miniscoping,[status(esa)],[f130]) ).
fof(f132,plain,
( apart_point_and_line(sk0_0,sk0_1)
& divides_points(sk0_1,sk0_2,sk0_3)
& ~ divides_points(sk0_1,sk0_2,sk0_0)
& ~ divides_points(sk0_1,sk0_3,sk0_0) ),
inference(skolemization,[status(esa)],[f131]) ).
fof(f134,plain,
divides_points(sk0_1,sk0_2,sk0_3),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ~ divides_points(X0,X1,X2)
| left_apart_point(X2,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f49,f94]) ).
fof(f144,plain,
! [X0,X1,X2] : ~ divides_points(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f143,f94]) ).
fof(f145,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f134,f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO237+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.04/0.13 % 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 12:05:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 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
% 0.19/0.37 % Elapsed time: 0.020365 seconds
% 0.19/0.37 % CPU time: 0.033523 seconds
% 0.19/0.37 % Memory used: 2.368 MB
%------------------------------------------------------------------------------