TSTP Solution File: GEO265+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO265+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:08:38 EDT 2023
% Result : Theorem 0.16s 0.34s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 25 ~; 17 |; 8 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 40 (; 38 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( equally_directed_opposite_lines(X,Y)
<=> ~ unequally_directed_opposite_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
! [L,M] :
( equally_directed_lines(L,reverse_line(M))
=> equally_directed_opposite_lines(L,M) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ! [L,M] :
( equally_directed_lines(L,reverse_line(M))
=> equally_directed_opposite_lines(L,M) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f39,plain,
! [X,Y] :
( ( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) )
& ( unequally_directed_opposite_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y)) ) ),
inference(NNF_transformation,[status(esa)],[f1]) ).
fof(f40,plain,
( ! [X,Y] :
( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) )
& ! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y)) ) ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f51,plain,
! [X,Y] :
( ( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) )
& ( equally_directed_lines(X,Y)
| unequally_directed_lines(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f4]) ).
fof(f52,plain,
( ! [X,Y] :
( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) )
& ! [X,Y] :
( equally_directed_lines(X,Y)
| unequally_directed_lines(X,Y) ) ),
inference(miniscoping,[status(esa)],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f55,plain,
! [X,Y] :
( ( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) )
& ( equally_directed_opposite_lines(X,Y)
| unequally_directed_opposite_lines(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f5]) ).
fof(f56,plain,
( ! [X,Y] :
( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) )
& ! [X,Y] :
( equally_directed_opposite_lines(X,Y)
| unequally_directed_opposite_lines(X,Y) ) ),
inference(miniscoping,[status(esa)],[f55]) ).
fof(f58,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f152,plain,
? [L,M] :
( equally_directed_lines(L,reverse_line(M))
& ~ equally_directed_opposite_lines(L,M) ),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f153,plain,
( equally_directed_lines(sk0_0,reverse_line(sk0_1))
& ~ equally_directed_opposite_lines(sk0_0,sk0_1) ),
inference(skolemization,[status(esa)],[f152]) ).
fof(f154,plain,
equally_directed_lines(sk0_0,reverse_line(sk0_1)),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f155,plain,
~ equally_directed_opposite_lines(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f181,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ equally_directed_lines(X0,reverse_line(X1)) ),
inference(resolution,[status(thm)],[f41,f53]) ).
fof(f186,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,reverse_line(X1))
| equally_directed_opposite_lines(X0,X1) ),
inference(resolution,[status(thm)],[f181,f58]) ).
fof(f187,plain,
~ equally_directed_lines(sk0_0,reverse_line(sk0_1)),
inference(resolution,[status(thm)],[f186,f155]) ).
fof(f188,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f187,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO265+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:59:27 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.16/0.34 % Refutation found
% 0.16/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55 % Elapsed time: 0.013697 seconds
% 0.16/0.55 % CPU time: 0.013715 seconds
% 0.16/0.55 % Memory used: 639.968 KB
%------------------------------------------------------------------------------