TSTP Solution File: GEO237+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO237+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 12:08:29 EDT 2023
% Result : Theorem 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 83 ( 32 ~; 22 |; 23 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 59 (; 51 !; 8 ?)
% 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(f8,axiom,
! [A,B,L] :
( divides_points(L,A,B)
<=> ( ( left_apart_point(A,L)
& right_apart_point(B,L) )
| ( right_apart_point(A,L)
& left_apart_point(B,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,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(f38,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)],[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(f69,plain,
! [A,B,L] :
( ( ~ divides_points(L,A,B)
| ( left_apart_point(A,L)
& right_apart_point(B,L) )
| ( right_apart_point(A,L)
& left_apart_point(B,L) ) )
& ( divides_points(L,A,B)
| ( ( ~ left_apart_point(A,L)
| ~ right_apart_point(B,L) )
& ( ~ right_apart_point(A,L)
| ~ left_apart_point(B,L) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f8]) ).
fof(f70,plain,
( ! [A,B,L] :
( ~ divides_points(L,A,B)
| ( left_apart_point(A,L)
& right_apart_point(B,L) )
| ( right_apart_point(A,L)
& left_apart_point(B,L) ) )
& ! [A,B,L] :
( divides_points(L,A,B)
| ( ( ~ left_apart_point(A,L)
| ~ right_apart_point(B,L) )
& ( ~ right_apart_point(A,L)
| ~ left_apart_point(B,L) ) ) ) ),
inference(miniscoping,[status(esa)],[f69]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ divides_points(X0,X1,X2)
| right_apart_point(X2,X0)
| left_apart_point(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
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,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)],[f38]) ).
fof(f153,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)],[f152]) ).
fof(f154,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)],[f153]) ).
fof(f156,plain,
divides_points(sk0_1,sk0_2,sk0_3),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f163,plain,
! [X0,X1] : ~ right_apart_point(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f45,f115]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ~ divides_points(X0,X1,X2)
| right_apart_point(X2,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f74,f115]) ).
fof(f165,plain,
! [X0,X1,X2] : ~ divides_points(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f164,f163]) ).
fof(f166,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f156,f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n016.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 12:32:14 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.55 % Elapsed time: 0.023386 seconds
% 0.15/0.55 % CPU time: 0.011923 seconds
% 0.15/0.55 % Memory used: 642.154 KB
%------------------------------------------------------------------------------