TSTP Solution File: GEO269+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO269+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:17:50 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 37 ~; 28 |; 9 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 60 ( 59 !; 1 ?)
% 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(f15,axiom,
! [L] : equally_directed_lines(L,L),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
! [L] : equally_directed_opposite_lines(L,reverse_line(L)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ! [L] : equally_directed_opposite_lines(L,reverse_line(L)),
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(f100,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f110,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f111,plain,
! [L,M] :
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f112,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f117,plain,
! [L,M] :
( ~ left_convergent_lines(L,M)
& ~ left_convergent_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f118,plain,
( ! [L,M] : ~ left_convergent_lines(L,M)
& ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
inference(miniscoping,[status(esa)],[f117]) ).
fof(f119,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f152,plain,
? [L] : ~ equally_directed_opposite_lines(L,reverse_line(L)),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f153,plain,
~ equally_directed_opposite_lines(sk0_0,reverse_line(sk0_0)),
inference(skolemization,[status(esa)],[f152]) ).
fof(f154,plain,
~ equally_directed_opposite_lines(sk0_0,reverse_line(sk0_0)),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f166,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f112,f119]) ).
fof(f167,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f166,f119]) ).
fof(f170,plain,
unequally_directed_opposite_lines(sk0_0,reverse_line(sk0_0)),
inference(resolution,[status(thm)],[f58,f154]) ).
fof(f171,plain,
unequally_directed_lines(sk0_0,reverse_line(reverse_line(sk0_0))),
inference(resolution,[status(thm)],[f41,f170]) ).
fof(f172,plain,
~ unequally_directed_lines(sk0_0,reverse_line(sk0_0)),
inference(resolution,[status(thm)],[f167,f171]) ).
fof(f173,plain,
unequally_directed_lines(sk0_0,sk0_0),
inference(resolution,[status(thm)],[f172,f110]) ).
fof(f184,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(resolution,[status(thm)],[f53,f100]) ).
fof(f185,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f173,f184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO269+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.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 Apr 30 01:23:05 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.030923 seconds
% 0.13/0.38 % CPU time: 0.145227 seconds
% 0.13/0.38 % Total memory used: 6.446 MB
% 0.13/0.38 % Net memory used: 6.365 MB
%------------------------------------------------------------------------------