TSTP Solution File: GEO233+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 15 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 35 ~; 23 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 54 ( 53 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [L] : ~ unequally_directed_lines(L,L),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,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(f14,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(f16,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [A,L] : ~ unequally_directed_lines(parallel_through_point(L,A),L),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,conjecture,
! [L] : ~ unequally_directed_lines(reverse_line(reverse_line(L)),L),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [L] : ~ unequally_directed_lines(reverse_line(reverse_line(L)),L),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f78,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f79,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)],[f11]) ).
fof(f80,plain,
! [L,M] :
( ~ unequally_directed_lines(L,M)
| ! [N] :
( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
inference(miniscoping,[status(esa)],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f80]) ).
fof(f90,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)],[f14]) ).
fof(f91,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)],[f90]) ).
fof(f96,plain,
! [L,M] :
( ~ left_convergent_lines(L,M)
& ~ left_convergent_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f97,plain,
( ! [L,M] : ~ left_convergent_lines(L,M)
& ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
inference(miniscoping,[status(esa)],[f96]) ).
fof(f98,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f117,plain,
! [X0,X1] : ~ unequally_directed_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f130,plain,
? [L] : unequally_directed_lines(reverse_line(reverse_line(L)),L),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f131,plain,
unequally_directed_lines(reverse_line(reverse_line(sk0_0)),sk0_0),
inference(skolemization,[status(esa)],[f130]) ).
fof(f132,plain,
unequally_directed_lines(reverse_line(reverse_line(sk0_0)),sk0_0),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f146,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)],[f91,f98]) ).
fof(f147,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f146,f98]) ).
fof(f148,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X0) ),
inference(resolution,[status(thm)],[f81,f78]) ).
fof(f152,plain,
! [X0,X1] : ~ unequally_directed_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[status(thm)],[f117,f148]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,parallel_through_point(X0,X2)) ),
inference(resolution,[status(thm)],[f152,f81]) ).
fof(f171,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(reverse_line(X1),X0) ),
inference(resolution,[status(thm)],[f147,f148]) ).
fof(f183,plain,
~ unequally_directed_lines(sk0_0,reverse_line(sk0_0)),
inference(resolution,[status(thm)],[f171,f132]) ).
fof(f208,plain,
! [X0] :
( ~ unequally_directed_lines(sk0_0,X0)
| unequally_directed_lines(X0,reverse_line(sk0_0)) ),
inference(resolution,[status(thm)],[f183,f81]) ).
fof(f213,plain,
! [X0] :
( ~ unequally_directed_lines(sk0_0,X0)
| ~ unequally_directed_lines(X0,sk0_0) ),
inference(resolution,[status(thm)],[f208,f147]) ).
fof(f214,plain,
! [X0] : ~ unequally_directed_lines(sk0_0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f213,f148]) ).
fof(f216,plain,
! [X0] : ~ unequally_directed_lines(X0,sk0_0),
inference(resolution,[status(thm)],[f214,f156]) ).
fof(f217,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f132,f216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.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 01:36:21 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.39 % Elapsed time: 0.038411 seconds
% 0.20/0.39 % CPU time: 0.165287 seconds
% 0.20/0.39 % Total memory used: 8.504 MB
% 0.20/0.39 % Net memory used: 8.405 MB
%------------------------------------------------------------------------------