TSTP Solution File: GEO452+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO452+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:08:57 EDT 2023
% Result : Theorem 25.38s 4.40s
% Output : CNFRefutation 26.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 19 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 25 (; 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3176,axiom,
! [N,M,F0] :
( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))
=> ! [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3177,conjecture,
! [N,M,F0] :
( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))
=> ! [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(real,M),X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3178,negated_conjecture,
~ ! [N,M,F0] :
( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))
=> ! [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(real,M),X))) ),
inference(negated_conjecture,[status(cth)],[f3177]) ).
fof(f13984,plain,
! [N,M,F0] :
( ~ p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))
| ! [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) ),
inference(pre_NNF_transformation,[status(esa)],[f3176]) ).
fof(f13985,plain,
! [X0,X1,X2,X3] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2))))
| s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(cart(cart(real,X0),X1),fun(cart(real,X0),cart(real,X1))),matrixu_vectoru_mul),s(cart(cart(real,X0),X1),i(s(fun(fun(cart(real,X0),cart(real,X1)),cart(cart(real,X0),X1)),matrix),s(fun(cart(real,X0),cart(real,X1)),X2))))),s(cart(real,X0),X3))) = s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),X2),s(cart(real,X0),X3))) ),
inference(cnf_transformation,[status(esa)],[f13984]) ).
fof(f13986,plain,
? [N,M,F0] :
( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))
& ? [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) != s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(real,M),X))) ),
inference(pre_NNF_transformation,[status(esa)],[f3178]) ).
fof(f13987,plain,
( p(s(bool,i(s(fun(fun(cart(real,sk0_3367),cart(real,sk0_3366)),bool),linear),s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),sk0_3368))))
& s(cart(real,sk0_3366),i(s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),sk0_3368),s(cart(real,sk0_3367),sk0_3369))) != s(cart(real,sk0_3366),i(s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),i(s(fun(cart(cart(real,sk0_3367),sk0_3366),fun(cart(real,sk0_3367),cart(real,sk0_3366))),matrixu_vectoru_mul),s(cart(cart(real,sk0_3367),sk0_3366),i(s(fun(fun(cart(real,sk0_3367),cart(real,sk0_3366)),cart(cart(real,sk0_3367),sk0_3366)),matrix),s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),sk0_3368))))),s(cart(real,sk0_3367),sk0_3369))) ),
inference(skolemization,[status(esa)],[f13986]) ).
fof(f13988,plain,
p(s(bool,i(s(fun(fun(cart(real,sk0_3367),cart(real,sk0_3366)),bool),linear),s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),sk0_3368)))),
inference(cnf_transformation,[status(esa)],[f13987]) ).
fof(f13989,plain,
s(cart(real,sk0_3366),i(s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),sk0_3368),s(cart(real,sk0_3367),sk0_3369))) != s(cart(real,sk0_3366),i(s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),i(s(fun(cart(cart(real,sk0_3367),sk0_3366),fun(cart(real,sk0_3367),cart(real,sk0_3366))),matrixu_vectoru_mul),s(cart(cart(real,sk0_3367),sk0_3366),i(s(fun(fun(cart(real,sk0_3367),cart(real,sk0_3366)),cart(cart(real,sk0_3367),sk0_3366)),matrix),s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),sk0_3368))))),s(cart(real,sk0_3367),sk0_3369))),
inference(cnf_transformation,[status(esa)],[f13987]) ).
fof(f16616,plain,
! [X0] : s(cart(real,sk0_3366),i(s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),i(s(fun(cart(cart(real,sk0_3367),sk0_3366),fun(cart(real,sk0_3367),cart(real,sk0_3366))),matrixu_vectoru_mul),s(cart(cart(real,sk0_3367),sk0_3366),i(s(fun(fun(cart(real,sk0_3367),cart(real,sk0_3366)),cart(cart(real,sk0_3367),sk0_3366)),matrix),s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),sk0_3368))))),s(cart(real,sk0_3367),X0))) = s(cart(real,sk0_3366),i(s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),sk0_3368),s(cart(real,sk0_3367),X0))),
inference(resolution,[status(thm)],[f13985,f13988]) ).
fof(f16806,plain,
s(cart(real,sk0_3366),i(s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),sk0_3368),s(cart(real,sk0_3367),sk0_3369))) != s(cart(real,sk0_3366),i(s(fun(cart(real,sk0_3367),cart(real,sk0_3366)),sk0_3368),s(cart(real,sk0_3367),sk0_3369))),
inference(backward_demodulation,[status(thm)],[f16616,f13989]) ).
fof(f16807,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f16806]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO452+1 : TPTP v8.1.2. Released v7.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 11:56:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 1.10/1.28 % Drodi V3.5.1
% 25.38/4.40 % Refutation found
% 25.38/4.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 25.38/4.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 27.09/4.70 % Elapsed time: 4.337222 seconds
% 27.09/4.70 % CPU time: 26.166049 seconds
% 27.09/4.70 % Memory used: 1.492 GB
%------------------------------------------------------------------------------