TSTP Solution File: GEO443+1 by Etableau---0.67
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%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GEO443+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%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 : 600s
% DateTime : Sat Jul 16 04:09:53 EDT 2022
% Result : Theorem 2.85s 3.02s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aDISTu_SYM,conjecture,
! [X1049,X1,X8] : s(real,i(s(fun(prod(cart(real,X1049),cart(real,X1049)),real),distance),s(prod(cart(real,X1049),cart(real,X1049)),i(s(fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049))),i(s(fun(cart(real,X1049),fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049)))),c_),s(cart(real,X1049),X1))),s(cart(real,X1049),X8))))) = s(real,i(s(fun(prod(cart(real,X1049),cart(real,X1049)),real),distance),s(prod(cart(real,X1049),cart(real,X1049)),i(s(fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049))),i(s(fun(cart(real,X1049),fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049)))),c_),s(cart(real,X1049),X8))),s(cart(real,X1049),X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aDISTu_SYM) ).
fof(adist,axiom,
! [X1012,X1,X8] : s(real,i(s(fun(prod(cart(real,X1012),cart(real,X1012)),real),distance),s(prod(cart(real,X1012),cart(real,X1012)),i(s(fun(cart(real,X1012),prod(cart(real,X1012),cart(real,X1012))),i(s(fun(cart(real,X1012),fun(cart(real,X1012),prod(cart(real,X1012),cart(real,X1012)))),c_),s(cart(real,X1012),X1))),s(cart(real,X1012),X8))))) = s(real,i(s(fun(cart(real,X1012),real),vectoru_norm),s(cart(real,X1012),i(s(fun(cart(real,X1012),cart(real,X1012)),i(s(fun(cart(real,X1012),fun(cart(real,X1012),cart(real,X1012))),vectoru_sub),s(cart(real,X1012),X1))),s(cart(real,X1012),X8))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',adist) ).
fof(aNORMu_SUB,axiom,
! [X1018,X1,X8] : s(real,i(s(fun(cart(real,X1018),real),vectoru_norm),s(cart(real,X1018),i(s(fun(cart(real,X1018),cart(real,X1018)),i(s(fun(cart(real,X1018),fun(cart(real,X1018),cart(real,X1018))),vectoru_sub),s(cart(real,X1018),X1))),s(cart(real,X1018),X8))))) = s(real,i(s(fun(cart(real,X1018),real),vectoru_norm),s(cart(real,X1018),i(s(fun(cart(real,X1018),cart(real,X1018)),i(s(fun(cart(real,X1018),fun(cart(real,X1018),cart(real,X1018))),vectoru_sub),s(cart(real,X1018),X8))),s(cart(real,X1018),X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_SUB) ).
fof(c_0_3,negated_conjecture,
~ ! [X1049,X1,X8] : s(real,i(s(fun(prod(cart(real,X1049),cart(real,X1049)),real),distance),s(prod(cart(real,X1049),cart(real,X1049)),i(s(fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049))),i(s(fun(cart(real,X1049),fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049)))),c_),s(cart(real,X1049),X1))),s(cart(real,X1049),X8))))) = s(real,i(s(fun(prod(cart(real,X1049),cart(real,X1049)),real),distance),s(prod(cart(real,X1049),cart(real,X1049)),i(s(fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049))),i(s(fun(cart(real,X1049),fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049)))),c_),s(cart(real,X1049),X8))),s(cart(real,X1049),X1))))),
inference(assume_negation,[status(cth)],[aDISTu_SYM]) ).
fof(c_0_4,negated_conjecture,
s(real,i(s(fun(prod(cart(real,esk3350_0),cart(real,esk3350_0)),real),distance),s(prod(cart(real,esk3350_0),cart(real,esk3350_0)),i(s(fun(cart(real,esk3350_0),prod(cart(real,esk3350_0),cart(real,esk3350_0))),i(s(fun(cart(real,esk3350_0),fun(cart(real,esk3350_0),prod(cart(real,esk3350_0),cart(real,esk3350_0)))),c_),s(cart(real,esk3350_0),esk3351_0))),s(cart(real,esk3350_0),esk3352_0))))) != s(real,i(s(fun(prod(cart(real,esk3350_0),cart(real,esk3350_0)),real),distance),s(prod(cart(real,esk3350_0),cart(real,esk3350_0)),i(s(fun(cart(real,esk3350_0),prod(cart(real,esk3350_0),cart(real,esk3350_0))),i(s(fun(cart(real,esk3350_0),fun(cart(real,esk3350_0),prod(cart(real,esk3350_0),cart(real,esk3350_0)))),c_),s(cart(real,esk3350_0),esk3352_0))),s(cart(real,esk3350_0),esk3351_0))))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X14184,X14185,X14186] : s(real,i(s(fun(prod(cart(real,X14184),cart(real,X14184)),real),distance),s(prod(cart(real,X14184),cart(real,X14184)),i(s(fun(cart(real,X14184),prod(cart(real,X14184),cart(real,X14184))),i(s(fun(cart(real,X14184),fun(cart(real,X14184),prod(cart(real,X14184),cart(real,X14184)))),c_),s(cart(real,X14184),X14185))),s(cart(real,X14184),X14186))))) = s(real,i(s(fun(cart(real,X14184),real),vectoru_norm),s(cart(real,X14184),i(s(fun(cart(real,X14184),cart(real,X14184)),i(s(fun(cart(real,X14184),fun(cart(real,X14184),cart(real,X14184))),vectoru_sub),s(cart(real,X14184),X14185))),s(cart(real,X14184),X14186))))),
inference(variable_rename,[status(thm)],[adist]) ).
fof(c_0_6,plain,
! [X14243,X14244,X14245] : s(real,i(s(fun(cart(real,X14243),real),vectoru_norm),s(cart(real,X14243),i(s(fun(cart(real,X14243),cart(real,X14243)),i(s(fun(cart(real,X14243),fun(cart(real,X14243),cart(real,X14243))),vectoru_sub),s(cart(real,X14243),X14244))),s(cart(real,X14243),X14245))))) = s(real,i(s(fun(cart(real,X14243),real),vectoru_norm),s(cart(real,X14243),i(s(fun(cart(real,X14243),cart(real,X14243)),i(s(fun(cart(real,X14243),fun(cart(real,X14243),cart(real,X14243))),vectoru_sub),s(cart(real,X14243),X14245))),s(cart(real,X14243),X14244))))),
inference(variable_rename,[status(thm)],[aNORMu_SUB]) ).
cnf(c_0_7,negated_conjecture,
s(real,i(s(fun(prod(cart(real,esk3350_0),cart(real,esk3350_0)),real),distance),s(prod(cart(real,esk3350_0),cart(real,esk3350_0)),i(s(fun(cart(real,esk3350_0),prod(cart(real,esk3350_0),cart(real,esk3350_0))),i(s(fun(cart(real,esk3350_0),fun(cart(real,esk3350_0),prod(cart(real,esk3350_0),cart(real,esk3350_0)))),c_),s(cart(real,esk3350_0),esk3351_0))),s(cart(real,esk3350_0),esk3352_0))))) != s(real,i(s(fun(prod(cart(real,esk3350_0),cart(real,esk3350_0)),real),distance),s(prod(cart(real,esk3350_0),cart(real,esk3350_0)),i(s(fun(cart(real,esk3350_0),prod(cart(real,esk3350_0),cart(real,esk3350_0))),i(s(fun(cart(real,esk3350_0),fun(cart(real,esk3350_0),prod(cart(real,esk3350_0),cart(real,esk3350_0)))),c_),s(cart(real,esk3350_0),esk3352_0))),s(cart(real,esk3350_0),esk3351_0))))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
s(real,i(s(fun(prod(cart(real,X1),cart(real,X1)),real),distance),s(prod(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),prod(cart(real,X1),cart(real,X1))),i(s(fun(cart(real,X1),fun(cart(real,X1),prod(cart(real,X1),cart(real,X1)))),c_),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X3))),s(cart(real,X1),X2))))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO443+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 08:50:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.85/3.02 # No SInE strategy applied
% 2.85/3.02 # Auto-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr
% 2.85/3.02 # and selection function SelectMaxLComplexAvoidPosPred.
% 2.85/3.02 #
% 2.85/3.02 # Presaturation interreduction done
% 2.85/3.02
% 2.85/3.02 # Proof found!
% 2.85/3.02 # SZS status Theorem
% 2.85/3.02 # SZS output start CNFRefutation
% See solution above
% 2.85/3.02 # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------