TSTP Solution File: GEO231+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO231+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 : Tue Apr 30 20:17:40 EDT 2024
% Result : Theorem 0.11s 0.38s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 12 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 119 ( 53 ~; 42 |; 17 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 90 ( 84 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( equally_directed_opposite_lines(X,Y)
<=> ~ unequally_directed_opposite_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
! [L,M,N] :
( ( equally_directed_opposite_lines(L,M)
& equally_directed_lines(L,N) )
=> equally_directed_opposite_lines(M,N) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ! [L,M,N] :
( ( equally_directed_opposite_lines(L,M)
& equally_directed_lines(L,N) )
=> equally_directed_opposite_lines(M,N) ),
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(f42,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(f54,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(f57,plain,
! [X0,X1] :
( ~ equally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f101,plain,
! [L,M,N] :
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f102,plain,
! [L,M] :
( ~ unequally_directed_lines(L,M)
| ! [N] :
( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
inference(miniscoping,[status(esa)],[f101]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f102]) ).
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,M,N] :
( equally_directed_opposite_lines(L,M)
& equally_directed_lines(L,N)
& ~ equally_directed_opposite_lines(M,N) ),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f153,plain,
? [M,N] :
( ? [L] :
( equally_directed_opposite_lines(L,M)
& equally_directed_lines(L,N) )
& ~ equally_directed_opposite_lines(M,N) ),
inference(miniscoping,[status(esa)],[f152]) ).
fof(f154,plain,
( equally_directed_opposite_lines(sk0_2,sk0_0)
& equally_directed_lines(sk0_2,sk0_1)
& ~ equally_directed_opposite_lines(sk0_0,sk0_1) ),
inference(skolemization,[status(esa)],[f153]) ).
fof(f155,plain,
equally_directed_opposite_lines(sk0_2,sk0_0),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f156,plain,
equally_directed_lines(sk0_2,sk0_1),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f157,plain,
~ equally_directed_opposite_lines(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f169,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(f170,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f119]) ).
fof(f173,plain,
~ unequally_directed_opposite_lines(sk0_2,sk0_0),
inference(resolution,[status(thm)],[f57,f155]) ).
fof(f175,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ equally_directed_lines(X0,reverse_line(X1)) ),
inference(resolution,[status(thm)],[f41,f53]) ).
fof(f176,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,reverse_line(X1))
| equally_directed_opposite_lines(X0,X1) ),
inference(resolution,[status(thm)],[f175,f58]) ).
fof(f177,plain,
~ equally_directed_lines(sk0_0,reverse_line(sk0_1)),
inference(resolution,[status(thm)],[f176,f157]) ).
fof(f179,plain,
unequally_directed_lines(sk0_0,reverse_line(sk0_1)),
inference(resolution,[status(thm)],[f177,f54]) ).
fof(f194,plain,
~ unequally_directed_lines(sk0_2,reverse_line(sk0_0)),
inference(resolution,[status(thm)],[f42,f173]) ).
fof(f197,plain,
unequally_directed_lines(sk0_2,sk0_0),
inference(resolution,[status(thm)],[f194,f110]) ).
fof(f219,plain,
~ unequally_directed_lines(sk0_0,sk0_1),
inference(resolution,[status(thm)],[f170,f179]) ).
fof(f361,plain,
! [X0] :
( ~ unequally_directed_lines(X0,sk0_0)
| unequally_directed_lines(X0,sk0_1) ),
inference(resolution,[status(thm)],[f103,f219]) ).
fof(f377,plain,
! [X0] :
( ~ unequally_directed_lines(X0,sk0_0)
| ~ equally_directed_lines(X0,sk0_1) ),
inference(resolution,[status(thm)],[f361,f53]) ).
fof(f398,plain,
~ unequally_directed_lines(sk0_2,sk0_0),
inference(resolution,[status(thm)],[f377,f156]) ).
fof(f399,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f398,f197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO231+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 01:31:16 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.40 % Elapsed time: 0.059251 seconds
% 0.11/0.40 % CPU time: 0.368106 seconds
% 0.11/0.40 % Total memory used: 16.694 MB
% 0.11/0.40 % Net memory used: 16.131 MB
%------------------------------------------------------------------------------