TSTP Solution File: GEO211+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:08:19 EDT 2023
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 10 (; 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,conjecture,
! [L] : unorthogonal_lines(L,L),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ ! [L] : unorthogonal_lines(L,L),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f25,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f58,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f70,plain,
? [L] : ~ unorthogonal_lines(L,L),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f71,plain,
~ unorthogonal_lines(sk0_0,sk0_0),
inference(skolemization,[status(esa)],[f70]) ).
fof(f72,plain,
~ unorthogonal_lines(sk0_0,sk0_0),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f78,plain,
! [X0] : unorthogonal_lines(X0,X0),
inference(resolution,[status(thm)],[f25,f58]) ).
fof(f79,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f72,f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 12:13:27 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % Drodi V3.5.1
% 0.12/0.34 % Refutation found
% 0.12/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.56 % Elapsed time: 0.015200 seconds
% 0.17/0.56 % CPU time: 0.015236 seconds
% 0.17/0.56 % Memory used: 525.961 KB
%------------------------------------------------------------------------------