TSTP Solution File: GEO454+1 by Etableau---0.67
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%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GEO454+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 : n018.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 04:10:07 EDT 2022
% Result : Theorem 2.62s 2.82s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aLIFTu_DROPu_conjunct1,conjecture,
! [X1] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))) = s(real,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLIFTu_DROPu_conjunct1) ).
fof(adrop,axiom,
! [X1] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',adrop) ).
fof(aNUMERAL,axiom,
! [X84] : s(num,i(s(fun(num,num),numeral),s(num,X84))) = s(num,X84),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO010+0.ax',aNUMERAL) ).
fof(aLIFTu_COMPONENT,axiom,
! [X1] : s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLIFTu_COMPONENT) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))) = s(real,X1),
inference(assume_negation,[status(cth)],[aLIFTu_DROPu_conjunct1]) ).
fof(c_0_5,plain,
! [X16534] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X16534))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X16534))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),
inference(variable_rename,[status(thm)],[adrop]) ).
fof(c_0_6,plain,
! [X2371] : s(num,i(s(fun(num,num),numeral),s(num,X2371))) = s(num,X2371),
inference(variable_rename,[status(thm)],[aNUMERAL]) ).
fof(c_0_7,negated_conjecture,
s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,esk3802_0))))) != s(real,esk3802_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_8,plain,
s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X16535] : s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X16535))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,X16535),
inference(variable_rename,[status(thm)],[aLIFTu_COMPONENT]) ).
cnf(c_0_11,negated_conjecture,
s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,esk3802_0))))) != s(real,esk3802_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X1))),s(num,i(s(fun(num,num),bit1),s(num,u_0))))),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,esk3802_0))))),s(num,i(s(fun(num,num),bit1),s(num,u_0))))) != s(real,esk3802_0),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))),s(num,i(s(fun(num,num),bit1),s(num,u_0))))) = s(real,X1),
inference(rw,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO454+1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.12 % 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 : n018.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 : Fri Jun 17 17:14:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.62/2.82 # No SInE strategy applied
% 2.62/2.82 # Auto-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr
% 2.62/2.82 # and selection function SelectMaxLComplexAvoidPosPred.
% 2.62/2.82 #
% 2.62/2.82 # Presaturation interreduction done
% 2.62/2.82
% 2.62/2.82 # Proof found!
% 2.62/2.82 # SZS status Theorem
% 2.62/2.82 # SZS output start CNFRefutation
% See solution above
% 2.62/2.82 # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------