TSTP Solution File: GEO461+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO461+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 03:45:51 EDT 2022
% Result : Theorem 9.82s 6.89s
% Output : CNFRefutation 9.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 4 RR)
% Number of literals : 16 ( 15 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 15 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_721,negated_conjecture,
s(real,i(s(fun(prod(cart(real,finite_sum(esk303_0,esk304_0)),cart(real,finite_sum(esk303_0,esk304_0))),real),distance),s(prod(cart(real,finite_sum(esk303_0,esk304_0)),cart(real,finite_sum(esk303_0,esk304_0))),i(s(fun(cart(real,finite_sum(esk303_0,esk304_0)),prod(cart(real,finite_sum(esk303_0,esk304_0)),cart(real,finite_sum(esk303_0,esk304_0)))),i(s(fun(cart(real,finite_sum(esk303_0,esk304_0)),fun(cart(real,finite_sum(esk303_0,esk304_0)),prod(cart(real,finite_sum(esk303_0,esk304_0)),cart(real,finite_sum(esk303_0,esk304_0))))),c_),s(cart(real,finite_sum(esk303_0,esk304_0)),i(s(fun(cart(real,esk304_0),cart(real,finite_sum(esk303_0,esk304_0))),i(s(fun(cart(real,esk303_0),fun(cart(real,esk304_0),cart(real,finite_sum(esk303_0,esk304_0)))),pastecart),s(cart(real,esk303_0),esk305_0))),s(cart(real,esk304_0),esk306_0))))),s(cart(real,finite_sum(esk303_0,esk304_0)),i(s(fun(cart(real,esk304_0),cart(real,finite_sum(esk303_0,esk304_0))),i(s(fun(cart(real,esk303_0),fun(cart(real,esk304_0),cart(real,finite_sum(esk303_0,esk304_0)))),pastecart),s(cart(real,esk303_0),esk305_0))),s(cart(real,esk304_0),esk307_0))))))) != s(real,i(s(fun(prod(cart(real,esk304_0),cart(real,esk304_0)),real),distance),s(prod(cart(real,esk304_0),cart(real,esk304_0)),i(s(fun(cart(real,esk304_0),prod(cart(real,esk304_0),cart(real,esk304_0))),i(s(fun(cart(real,esk304_0),fun(cart(real,esk304_0),prod(cart(real,esk304_0),cart(real,esk304_0)))),c_),s(cart(real,esk304_0),esk306_0))),s(cart(real,esk304_0),esk307_0))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b93s_5gr/lgb.p',i_0_721) ).
cnf(i_0_690,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))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b93s_5gr/lgb.p',i_0_690) ).
cnf(i_0_4840,plain,
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),X2))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b93s_5gr/lgb.p',i_0_4840) ).
cnf(i_0_3062,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b93s_5gr/lgb.p',i_0_3062) ).
cnf(i_0_2564,plain,
s(real,i(s(fun(cart(real,finite_sum(X1,X2)),real),vectoru_norm),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X2),X3))))) = s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X3))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b93s_5gr/lgb.p',i_0_2564) ).
cnf(i_0_3239,plain,
s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,finite_sum(X1,X2)),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,finite_sum(X1,X2)),fun(cart(real,finite_sum(X1,X2)),cart(real,finite_sum(X1,X2)))),vectoru_sub),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),X3))),s(cart(real,X2),X4))))),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),X5))),s(cart(real,X2),X6))))) = s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),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),X5))))),s(cart(real,X2),i(s(fun(cart(real,X2),cart(real,X2)),i(s(fun(cart(real,X2),fun(cart(real,X2),cart(real,X2))),vectoru_sub),s(cart(real,X2),X4))),s(cart(real,X2),X6))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b93s_5gr/lgb.p',i_0_3239) ).
cnf(c_0_4847,negated_conjecture,
s(real,i(s(fun(prod(cart(real,finite_sum(esk303_0,esk304_0)),cart(real,finite_sum(esk303_0,esk304_0))),real),distance),s(prod(cart(real,finite_sum(esk303_0,esk304_0)),cart(real,finite_sum(esk303_0,esk304_0))),i(s(fun(cart(real,finite_sum(esk303_0,esk304_0)),prod(cart(real,finite_sum(esk303_0,esk304_0)),cart(real,finite_sum(esk303_0,esk304_0)))),i(s(fun(cart(real,finite_sum(esk303_0,esk304_0)),fun(cart(real,finite_sum(esk303_0,esk304_0)),prod(cart(real,finite_sum(esk303_0,esk304_0)),cart(real,finite_sum(esk303_0,esk304_0))))),c_),s(cart(real,finite_sum(esk303_0,esk304_0)),i(s(fun(cart(real,esk304_0),cart(real,finite_sum(esk303_0,esk304_0))),i(s(fun(cart(real,esk303_0),fun(cart(real,esk304_0),cart(real,finite_sum(esk303_0,esk304_0)))),pastecart),s(cart(real,esk303_0),esk305_0))),s(cart(real,esk304_0),esk306_0))))),s(cart(real,finite_sum(esk303_0,esk304_0)),i(s(fun(cart(real,esk304_0),cart(real,finite_sum(esk303_0,esk304_0))),i(s(fun(cart(real,esk303_0),fun(cart(real,esk304_0),cart(real,finite_sum(esk303_0,esk304_0)))),pastecart),s(cart(real,esk303_0),esk305_0))),s(cart(real,esk304_0),esk307_0))))))) != s(real,i(s(fun(prod(cart(real,esk304_0),cart(real,esk304_0)),real),distance),s(prod(cart(real,esk304_0),cart(real,esk304_0)),i(s(fun(cart(real,esk304_0),prod(cart(real,esk304_0),cart(real,esk304_0))),i(s(fun(cart(real,esk304_0),fun(cart(real,esk304_0),prod(cart(real,esk304_0),cart(real,esk304_0)))),c_),s(cart(real,esk304_0),esk306_0))),s(cart(real,esk304_0),esk307_0))))),
i_0_721 ).
cnf(c_0_4848,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))))),
i_0_690 ).
cnf(c_0_4849,plain,
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),X2))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
i_0_4840 ).
cnf(c_0_4850,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
i_0_3062 ).
cnf(c_0_4851,plain,
s(real,i(s(fun(cart(real,finite_sum(X1,X2)),real),vectoru_norm),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X2),X3))))) = s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X3))),
i_0_2564 ).
cnf(c_0_4852,negated_conjecture,
s(real,i(s(fun(cart(real,finite_sum(esk303_0,esk304_0)),real),vectoru_norm),s(cart(real,finite_sum(esk303_0,esk304_0)),i(s(fun(cart(real,finite_sum(esk303_0,esk304_0)),cart(real,finite_sum(esk303_0,esk304_0))),i(s(fun(cart(real,finite_sum(esk303_0,esk304_0)),fun(cart(real,finite_sum(esk303_0,esk304_0)),cart(real,finite_sum(esk303_0,esk304_0)))),vectoru_sub),s(cart(real,finite_sum(esk303_0,esk304_0)),i(s(fun(cart(real,esk304_0),cart(real,finite_sum(esk303_0,esk304_0))),i(s(fun(cart(real,esk303_0),fun(cart(real,esk304_0),cart(real,finite_sum(esk303_0,esk304_0)))),pastecart),s(cart(real,esk303_0),esk305_0))),s(cart(real,esk304_0),esk306_0))))),s(cart(real,finite_sum(esk303_0,esk304_0)),i(s(fun(cart(real,esk304_0),cart(real,finite_sum(esk303_0,esk304_0))),i(s(fun(cart(real,esk303_0),fun(cart(real,esk304_0),cart(real,finite_sum(esk303_0,esk304_0)))),pastecart),s(cart(real,esk303_0),esk305_0))),s(cart(real,esk304_0),esk307_0))))))) != s(real,i(s(fun(cart(real,esk304_0),real),vectoru_norm),s(cart(real,esk304_0),i(s(fun(cart(real,esk304_0),cart(real,esk304_0)),i(s(fun(cart(real,esk304_0),fun(cart(real,esk304_0),cart(real,esk304_0))),vectoru_sub),s(cart(real,esk304_0),esk306_0))),s(cart(real,esk304_0),esk307_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4847,c_0_4848]),c_0_4848]) ).
cnf(c_0_4853,plain,
s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,finite_sum(X1,X2)),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,finite_sum(X1,X2)),fun(cart(real,finite_sum(X1,X2)),cart(real,finite_sum(X1,X2)))),vectoru_sub),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),X3))),s(cart(real,X2),X4))))),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),X5))),s(cart(real,X2),X6))))) = s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),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),X5))))),s(cart(real,X2),i(s(fun(cart(real,X2),cart(real,X2)),i(s(fun(cart(real,X2),fun(cart(real,X2),cart(real,X2))),vectoru_sub),s(cart(real,X2),X4))),s(cart(real,X2),X6))))),
i_0_3239 ).
cnf(c_0_4854,plain,
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),X2))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0))),
inference(rw,[status(thm)],[c_0_4849,c_0_4850]) ).
cnf(c_0_4855,plain,
s(real,i(s(fun(cart(real,finite_sum(X1,X2)),real),vectoru_norm),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0))))),s(cart(real,X2),X3))))) = s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X3))),
inference(rw,[status(thm)],[c_0_4851,c_0_4850]) ).
cnf(c_0_4856,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4852,c_0_4853]),c_0_4854]),c_0_4855])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO461+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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 18:24:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.59/0.83 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.83 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.59/0.83 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.59/0.83 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.82/6.89 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.82/6.89 # No SInE strategy applied
% 9.82/6.89 # Trying AutoSched0 for 148 seconds
% 9.82/6.89 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.82/6.89 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.82/6.89 #
% 9.82/6.89 # Preprocessing time : 0.023 s
% 9.82/6.89 # Presaturation interreduction done
% 9.82/6.89
% 9.82/6.89 # Proof found!
% 9.82/6.89 # SZS status Theorem
% 9.82/6.89 # SZS output start CNFRefutation
% See solution above
% 9.82/6.89 # Training examples: 0 positive, 0 negative
% 9.82/6.89
% 9.82/6.89 # -------------------------------------------------
% 9.82/6.89 # User time : 0.026 s
% 9.82/6.89 # System time : 0.008 s
% 9.82/6.89 # Total time : 0.035 s
% 9.82/6.89 # Maximum resident set size: 7756 pages
% 9.82/6.89
%------------------------------------------------------------------------------