TSTP Solution File: GEO477+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO477+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.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 04:05:57 EDT 2022
% Result : Theorem 2.52s 205.68s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 20 unt; 0 def)
% Number of atoms : 44 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 12 ~; 9 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 23 con; 0-2 aty)
% Number of variables : 62 ( 6 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(abetween,axiom,
! [X1506,X16,X1,X20] :
( p(s(bool,i(s(fun(prod(cart(real,X1506),cart(real,X1506)),bool),i(s(fun(cart(real,X1506),fun(prod(cart(real,X1506),cart(real,X1506)),bool)),between),s(cart(real,X1506),X1))),s(prod(cart(real,X1506),cart(real,X1506)),i(s(fun(cart(real,X1506),prod(cart(real,X1506),cart(real,X1506))),i(s(fun(cart(real,X1506),fun(cart(real,X1506),prod(cart(real,X1506),cart(real,X1506)))),c_),s(cart(real,X1506),X16))),s(cart(real,X1506),X20))))))
<=> s(real,i(s(fun(prod(cart(real,X1506),cart(real,X1506)),real),distance),s(prod(cart(real,X1506),cart(real,X1506)),i(s(fun(cart(real,X1506),prod(cart(real,X1506),cart(real,X1506))),i(s(fun(cart(real,X1506),fun(cart(real,X1506),prod(cart(real,X1506),cart(real,X1506)))),c_),s(cart(real,X1506),X16))),s(cart(real,X1506),X20))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(prod(cart(real,X1506),cart(real,X1506)),real),distance),s(prod(cart(real,X1506),cart(real,X1506)),i(s(fun(cart(real,X1506),prod(cart(real,X1506),cart(real,X1506))),i(s(fun(cart(real,X1506),fun(cart(real,X1506),prod(cart(real,X1506),cart(real,X1506)))),c_),s(cart(real,X1506),X16))),s(cart(real,X1506),X1))))))),s(real,i(s(fun(prod(cart(real,X1506),cart(real,X1506)),real),distance),s(prod(cart(real,X1506),cart(real,X1506)),i(s(fun(cart(real,X1506),prod(cart(real,X1506),cart(real,X1506))),i(s(fun(cart(real,X1506),fun(cart(real,X1506),prod(cart(real,X1506),cart(real,X1506)))),c_),s(cart(real,X1506),X1))),s(cart(real,X1506),X20))))))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',abetween) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',adist) ).
fof(aREALu_MULu_2,axiom,
! [X1] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,X1))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aREALu_MULu_2) ).
fof(aDISTu_REFL,axiom,
! [X1048,X1] : s(real,i(s(fun(prod(cart(real,X1048),cart(real,X1048)),real),distance),s(prod(cart(real,X1048),cart(real,X1048)),i(s(fun(cart(real,X1048),prod(cart(real,X1048),cart(real,X1048))),i(s(fun(cart(real,X1048),fun(cart(real,X1048),prod(cart(real,X1048),cart(real,X1048)))),c_),s(cart(real,X1048),X1))),s(cart(real,X1048),X1))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aDISTu_REFL) ).
fof(aBETWEENu_REFL,conjecture,
! [X1507,X16,X20] :
( p(s(bool,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),bool),i(s(fun(cart(real,X1507),fun(prod(cart(real,X1507),cart(real,X1507)),bool)),between),s(cart(real,X1507),X16))),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X16))),s(cart(real,X1507),X20))))))
& p(s(bool,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),bool),i(s(fun(cart(real,X1507),fun(prod(cart(real,X1507),cart(real,X1507)),bool)),between),s(cart(real,X1507),X20))),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X16))),s(cart(real,X1507),X20))))))
& p(s(bool,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),bool),i(s(fun(cart(real,X1507),fun(prod(cart(real,X1507),cart(real,X1507)),bool)),between),s(cart(real,X1507),X16))),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X16))),s(cart(real,X1507),X16)))))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aBETWEENu_REFL) ).
fof(aREALu_ADDu_LID,axiom,
! [X1] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))) = s(real,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aREALu_ADDu_LID) ).
fof(aREALu_ADDu_RID,axiom,
! [X1] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aREALu_ADDu_RID) ).
fof(c_0_7,plain,
! [X1507,X1508,X1509,X1510,X1507,X1508,X1509,X1510] :
( ( ~ p(s(bool,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),bool),i(s(fun(cart(real,X1507),fun(prod(cart(real,X1507),cart(real,X1507)),bool)),between),s(cart(real,X1507),X1509))),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X1508))),s(cart(real,X1507),X1510))))))
| s(real,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),real),distance),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X1508))),s(cart(real,X1507),X1510))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),real),distance),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X1508))),s(cart(real,X1507),X1509))))))),s(real,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),real),distance),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X1509))),s(cart(real,X1507),X1510))))))) )
& ( s(real,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),real),distance),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X1508))),s(cart(real,X1507),X1510))))) != s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),real),distance),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X1508))),s(cart(real,X1507),X1509))))))),s(real,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),real),distance),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X1509))),s(cart(real,X1507),X1510)))))))
| p(s(bool,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),bool),i(s(fun(cart(real,X1507),fun(prod(cart(real,X1507),cart(real,X1507)),bool)),between),s(cart(real,X1507),X1509))),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X1508))),s(cart(real,X1507),X1510)))))) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abetween])])])]) ).
fof(c_0_8,plain,
! [X1013,X1014,X1015] : s(real,i(s(fun(prod(cart(real,X1013),cart(real,X1013)),real),distance),s(prod(cart(real,X1013),cart(real,X1013)),i(s(fun(cart(real,X1013),prod(cart(real,X1013),cart(real,X1013))),i(s(fun(cart(real,X1013),fun(cart(real,X1013),prod(cart(real,X1013),cart(real,X1013)))),c_),s(cart(real,X1013),X1014))),s(cart(real,X1013),X1015))))) = s(real,i(s(fun(cart(real,X1013),real),vectoru_norm),s(cart(real,X1013),i(s(fun(cart(real,X1013),cart(real,X1013)),i(s(fun(cart(real,X1013),fun(cart(real,X1013),cart(real,X1013))),vectoru_sub),s(cart(real,X1013),X1014))),s(cart(real,X1013),X1015))))),
inference(variable_rename,[status(thm)],[adist]) ).
cnf(c_0_9,plain,
( p(s(bool,i(s(fun(prod(cart(real,X1),cart(real,X1)),bool),i(s(fun(cart(real,X1),fun(prod(cart(real,X1),cart(real,X1)),bool)),between),s(cart(real,X1),X2))),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),X3))),s(cart(real,X1),X4))))))
| 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),X3))),s(cart(real,X1),X4))))) != s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),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),X3))),s(cart(real,X1),X2))))))),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),X4))))))) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,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_8]) ).
fof(c_0_11,plain,
! [X2] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,X2))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X2))),s(real,X2))),
inference(variable_rename,[status(thm)],[aREALu_MULu_2]) ).
fof(c_0_12,plain,
! [X1049,X1050] : 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),X1050))),s(cart(real,X1049),X1050))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
inference(variable_rename,[status(thm)],[aDISTu_REFL]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1507,X16,X20] :
( p(s(bool,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),bool),i(s(fun(cart(real,X1507),fun(prod(cart(real,X1507),cart(real,X1507)),bool)),between),s(cart(real,X1507),X16))),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X16))),s(cart(real,X1507),X20))))))
& p(s(bool,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),bool),i(s(fun(cart(real,X1507),fun(prod(cart(real,X1507),cart(real,X1507)),bool)),between),s(cart(real,X1507),X20))),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X16))),s(cart(real,X1507),X20))))))
& p(s(bool,i(s(fun(prod(cart(real,X1507),cart(real,X1507)),bool),i(s(fun(cart(real,X1507),fun(prod(cart(real,X1507),cart(real,X1507)),bool)),between),s(cart(real,X1507),X16))),s(prod(cart(real,X1507),cart(real,X1507)),i(s(fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507))),i(s(fun(cart(real,X1507),fun(cart(real,X1507),prod(cart(real,X1507),cart(real,X1507)))),c_),s(cart(real,X1507),X16))),s(cart(real,X1507),X16)))))) ),
inference(assume_negation,[status(cth)],[aBETWEENu_REFL]) ).
cnf(c_0_14,plain,
( p(s(bool,i(s(fun(prod(cart(real,X1),cart(real,X1)),bool),i(s(fun(cart(real,X1),fun(prod(cart(real,X1),cart(real,X1)),bool)),between),s(cart(real,X1),X2))),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),X3))),s(cart(real,X1),X4))))))
| s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),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))))))),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),X4))))))) != 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),X4))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_15,plain,
s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,X1))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,X1))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,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),X2))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X2] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2))) = s(real,X2),
inference(variable_rename,[status(thm)],[aREALu_ADDu_LID]) ).
fof(c_0_18,plain,
! [X2] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X2))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,X2),
inference(variable_rename,[status(thm)],[aREALu_ADDu_RID]) ).
fof(c_0_19,negated_conjecture,
( ~ p(s(bool,i(s(fun(prod(cart(real,esk1_0),cart(real,esk1_0)),bool),i(s(fun(cart(real,esk1_0),fun(prod(cart(real,esk1_0),cart(real,esk1_0)),bool)),between),s(cart(real,esk1_0),esk2_0))),s(prod(cart(real,esk1_0),cart(real,esk1_0)),i(s(fun(cart(real,esk1_0),prod(cart(real,esk1_0),cart(real,esk1_0))),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),prod(cart(real,esk1_0),cart(real,esk1_0)))),c_),s(cart(real,esk1_0),esk2_0))),s(cart(real,esk1_0),esk3_0))))))
| ~ p(s(bool,i(s(fun(prod(cart(real,esk4_0),cart(real,esk4_0)),bool),i(s(fun(cart(real,esk4_0),fun(prod(cart(real,esk4_0),cart(real,esk4_0)),bool)),between),s(cart(real,esk4_0),esk6_0))),s(prod(cart(real,esk4_0),cart(real,esk4_0)),i(s(fun(cart(real,esk4_0),prod(cart(real,esk4_0),cart(real,esk4_0))),i(s(fun(cart(real,esk4_0),fun(cart(real,esk4_0),prod(cart(real,esk4_0),cart(real,esk4_0)))),c_),s(cart(real,esk4_0),esk5_0))),s(cart(real,esk4_0),esk6_0))))))
| ~ p(s(bool,i(s(fun(prod(cart(real,esk7_0),cart(real,esk7_0)),bool),i(s(fun(cart(real,esk7_0),fun(prod(cart(real,esk7_0),cart(real,esk7_0)),bool)),between),s(cart(real,esk7_0),esk8_0))),s(prod(cart(real,esk7_0),cart(real,esk7_0)),i(s(fun(cart(real,esk7_0),prod(cart(real,esk7_0),cart(real,esk7_0))),i(s(fun(cart(real,esk7_0),fun(cart(real,esk7_0),prod(cart(real,esk7_0),cart(real,esk7_0)))),c_),s(cart(real,esk7_0),esk8_0))),s(cart(real,esk7_0),esk8_0)))))) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_20,plain,
( p(s(bool,i(s(fun(prod(cart(real,X1),cart(real,X1)),bool),i(s(fun(cart(real,X1),fun(prod(cart(real,X1),cart(real,X1)),bool)),between),s(cart(real,X1),X2))),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),X2))))))
| s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),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),X2))))))) != 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),X2))))) ),
inference(pm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,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),X2))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
inference(rw,[status(thm)],[c_0_16,c_0_10]) ).
cnf(c_0_22,plain,
s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))) = s(real,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( ~ p(s(bool,i(s(fun(prod(cart(real,esk7_0),cart(real,esk7_0)),bool),i(s(fun(cart(real,esk7_0),fun(prod(cart(real,esk7_0),cart(real,esk7_0)),bool)),between),s(cart(real,esk7_0),esk8_0))),s(prod(cart(real,esk7_0),cart(real,esk7_0)),i(s(fun(cart(real,esk7_0),prod(cart(real,esk7_0),cart(real,esk7_0))),i(s(fun(cart(real,esk7_0),fun(cart(real,esk7_0),prod(cart(real,esk7_0),cart(real,esk7_0)))),c_),s(cart(real,esk7_0),esk8_0))),s(cart(real,esk7_0),esk8_0))))))
| ~ p(s(bool,i(s(fun(prod(cart(real,esk4_0),cart(real,esk4_0)),bool),i(s(fun(cart(real,esk4_0),fun(prod(cart(real,esk4_0),cart(real,esk4_0)),bool)),between),s(cart(real,esk4_0),esk6_0))),s(prod(cart(real,esk4_0),cart(real,esk4_0)),i(s(fun(cart(real,esk4_0),prod(cart(real,esk4_0),cart(real,esk4_0))),i(s(fun(cart(real,esk4_0),fun(cart(real,esk4_0),prod(cart(real,esk4_0),cart(real,esk4_0)))),c_),s(cart(real,esk4_0),esk5_0))),s(cart(real,esk4_0),esk6_0))))))
| ~ p(s(bool,i(s(fun(prod(cart(real,esk1_0),cart(real,esk1_0)),bool),i(s(fun(cart(real,esk1_0),fun(prod(cart(real,esk1_0),cart(real,esk1_0)),bool)),between),s(cart(real,esk1_0),esk2_0))),s(prod(cart(real,esk1_0),cart(real,esk1_0)),i(s(fun(cart(real,esk1_0),prod(cart(real,esk1_0),cart(real,esk1_0))),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),prod(cart(real,esk1_0),cart(real,esk1_0)))),c_),s(cart(real,esk1_0),esk2_0))),s(cart(real,esk1_0),esk3_0)))))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
p(s(bool,i(s(fun(prod(cart(real,X1),cart(real,X1)),bool),i(s(fun(cart(real,X1),fun(prod(cart(real,X1),cart(real,X1)),bool)),between),s(cart(real,X1),X2))),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),X2)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_15]),c_0_22]),c_0_21])]) ).
cnf(c_0_26,plain,
p(s(bool,i(s(fun(prod(cart(real,X1),cart(real,X1)),bool),i(s(fun(cart(real,X1),fun(prod(cart(real,X1),cart(real,X1)),bool)),between),s(cart(real,X1),X2))),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)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_21]),c_0_22])]) ).
cnf(c_0_27,plain,
p(s(bool,i(s(fun(prod(cart(real,X1),cart(real,X1)),bool),i(s(fun(cart(real,X1),fun(prod(cart(real,X1),cart(real,X1)),bool)),between),s(cart(real,X1),X2))),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),X3))),s(cart(real,X1),X2)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_21]),c_0_23])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO477+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 18:18:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.19/24.22 eprover: CPU time limit exceeded, terminating
% 1.19/24.23 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.19/24.23
% 1.19/24.23 eprover: CPU time limit exceeded, terminating
% 1.37/47.24 eprover: CPU time limit exceeded, terminating
% 1.37/47.24 eprover: CPU time limit exceeded, terminating
% 1.37/47.24 eprover: CPU time limit exceeded, terminating
% 1.37/47.25 eprover: CPU time limit exceeded, terminating
% 1.53/70.25 eprover: CPU time limit exceeded, terminating
% 1.53/70.26 eprover: CPU time limit exceeded, terminating
% 1.53/70.26 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.53/70.26
% 1.69/93.27 eprover: CPU time limit exceeded, terminating
% 1.69/93.28 eprover: CPU time limit exceeded, terminating
% 1.69/93.28 eprover: CPU time limit exceeded, terminating
% 1.69/93.29 eprover: CPU time limit exceeded, terminating
% 1.86/116.30 eprover: CPU time limit exceeded, terminating
% 1.86/116.30 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.86/116.30
% 1.86/116.31 eprover: CPU time limit exceeded, terminating
% 2.04/139.31 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 2.04/139.31
% 2.04/139.32 eprover: CPU time limit exceeded, terminating
% 2.04/139.33 eprover: CPU time limit exceeded, terminating
% 2.20/162.33 eprover: CPU time limit exceeded, terminating
% 2.20/162.34 eprover: CPU time limit exceeded, terminating
% 2.20/162.35 eprover: CPU time limit exceeded, terminating
% 2.20/162.35 eprover: CPU time limit exceeded, terminating
% 2.36/185.34 eprover: CPU time limit exceeded, terminating
% 2.36/185.35 eprover: CPU time limit exceeded, terminating
% 2.36/185.36 eprover: CPU time limit exceeded, terminating
% 2.36/185.36 eprover: CPU time limit exceeded, terminating
% 2.52/205.68 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 2.52/205.68
% 2.52/205.68 # Failure: Resource limit exceeded (time)
% 2.52/205.68 # OLD status Res
% 2.52/205.68 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 2.52/205.68 # Preprocessing time : 0.438 s
% 2.52/205.68 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 2.52/205.68
% 2.52/205.68 # Failure: Resource limit exceeded (time)
% 2.52/205.68 # OLD status Res
% 2.52/205.68 # Preprocessing time : 2.803 s
% 2.52/205.68 # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 2.52/205.68
% 2.52/205.68 # Failure: Resource limit exceeded (time)
% 2.52/205.68 # OLD status Res
% 2.52/205.68 # Preprocessing time : 2.766 s
% 2.52/205.68 # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 2.52/205.68
% 2.52/205.68 # Failure: Resource limit exceeded (time)
% 2.52/205.68 # OLD status Res
% 2.52/205.68 # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 2.52/205.68 # Preprocessing time : 0.421 s
% 2.52/205.68 # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 2.52/205.68
% 2.52/205.68 # Failure: Resource limit exceeded (time)
% 2.52/205.68 # OLD status Res
% 2.52/205.68 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 2.52/205.68 # Preprocessing time : 0.464 s
% 2.52/205.68 # Running protocol protocol_eprover_e252f7803940d118fa0ef69fc2319cb55aee23b9 for 23 seconds:
% 2.52/205.68
% 2.52/205.68 # Failure: Resource limit exceeded (time)
% 2.52/205.68 # OLD status Res
% 2.52/205.68 # SinE strategy is GSinE(CountFormulas,,1.4,,03,100,1.0)
% 2.52/205.68 # Preprocessing time : 0.402 s
% 2.52/205.68 # Running protocol protocol_eprover_b1d72019af42f5b571a6c0b233a5b6d1de064075 for 23 seconds:
% 2.52/205.68
% 2.52/205.68 # Failure: Resource limit exceeded (time)
% 2.52/205.68 # OLD status Res
% 2.52/205.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,500,1.0)
% 2.52/205.68 # Preprocessing time : 0.791 s
% 2.52/205.68 # Running protocol protocol_eprover_e96ef4641ae500918cdd95fcfce21e29f2ac5eec for 23 seconds:
% 2.52/205.68
% 2.52/205.68 # Failure: Resource limit exceeded (time)
% 2.52/205.68 # OLD status Res
% 2.52/205.68 # SinE strategy is GSinE(CountFormulas,,6.0,,03,100,1.0)
% 2.52/205.68 # Preprocessing time : 0.428 s
% 2.52/205.68 # Running protocol protocol_eprover_1f734394cb6ce69b36c9826f6782d3567d6ecd6c for 23 seconds:
% 2.52/205.68 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,20000,1.0)
% 2.52/205.68 # Preprocessing time : 0.543 s
% 2.52/205.68
% 2.52/205.68 # Proof found!
% 2.52/205.68 # SZS status Theorem
% 2.52/205.68 # SZS output start CNFRefutation
% See solution above
% 2.52/205.68 # Proof object total steps : 29
% 2.52/205.68 # Proof object clause steps : 14
% 2.52/205.68 # Proof object formula steps : 15
% 2.52/205.68 # Proof object conjectures : 5
% 2.52/205.68 # Proof object clause conjectures : 2
% 2.52/205.68 # Proof object formula conjectures : 3
% 2.52/205.68 # Proof object initial clauses used : 7
% 2.52/205.68 # Proof object initial formulas used : 7
% 2.52/205.68 # Proof object generating inferences : 3
% 2.52/205.68 # Proof object simplifying inferences : 18
% 2.52/205.68 # Training examples: 0 positive, 0 negative
% 2.52/205.68 # Parsed axioms : 3599
% 2.52/205.68 # Removed by relevancy pruning/SinE : 3404
% 2.52/205.68 # Initial clauses : 857
% 2.52/205.68 # Removed in clause preprocessing : 148
% 2.52/205.68 # Initial clauses in saturation : 709
% 2.52/205.68 # Processed clauses : 737
% 2.52/205.68 # ...of these trivial : 2
% 2.52/205.68 # ...subsumed : 95
% 2.52/205.68 # ...remaining for further processing : 639
% 2.52/205.68 # Other redundant clauses eliminated : 0
% 2.52/205.68 # Clauses deleted for lack of memory : 0
% 2.52/205.68 # Backward-subsumed : 0
% 2.52/205.68 # Backward-rewritten : 40
% 2.52/205.68 # Generated clauses : 59070
% 2.52/205.68 # ...of the previous two non-trivial : 55945
% 2.52/205.68 # Contextual simplify-reflections : 0
% 2.52/205.68 # Paramodulations : 59049
% 2.52/205.68 # Factorizations : 4
% 2.52/205.68 # Equation resolutions : 17
% 2.52/205.68 # Current number of processed clauses : 599
% 2.52/205.68 # Positive orientable unit clauses : 37
% 2.52/205.68 # Positive unorientable unit clauses: 4
% 2.52/205.68 # Negative unit clauses : 0
% 2.52/205.68 # Non-unit-clauses : 558
% 2.52/205.68 # Current number of unprocessed clauses: 53400
% 2.52/205.68 # ...number of literals in the above : 305832
% 2.52/205.68 # Current number of archived formulas : 0
% 2.52/205.68 # Current number of archived clauses : 40
% 2.52/205.68 # Clause-clause subsumption calls (NU) : 45744
% 2.52/205.68 # Rec. Clause-clause subsumption calls : 4602
% 2.52/205.68 # Non-unit clause-clause subsumptions : 95
% 2.52/205.68 # Unit Clause-clause subsumption calls : 53
% 2.52/205.68 # Rewrite failures with RHS unbound : 0
% 2.52/205.68 # BW rewrite match attempts : 7126
% 2.52/205.68 # BW rewrite match successes : 70
% 2.52/205.68 # Condensation attempts : 0
% 2.52/205.68 # Condensation successes : 0
% 2.52/205.68 # Termbank termtop insertions : 10376559
% 2.52/205.68
% 2.52/205.68 # -------------------------------------------------
% 2.52/205.68 # User time : 19.257 s
% 2.52/205.68 # System time : 0.077 s
% 2.52/205.68 # Total time : 19.334 s
% 2.52/205.68 # Maximum resident set size: 88700 pages
% 2.52/208.36 eprover: CPU time limit exceeded, terminating
% 2.52/208.38 eprover: CPU time limit exceeded, terminating
% 2.52/208.38 eprover: CPU time limit exceeded, terminating
% 2.52/208.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.52/208.38 eprover: No such file or directory
% 2.52/208.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.52/208.38 eprover: No such file or directory
% 2.52/208.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.52/208.39 eprover: No such file or directory
% 2.52/208.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.52/208.39 eprover: No such file or directory
% 2.52/208.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.52/208.40 eprover: No such file or directory
% 2.52/208.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.52/208.40 eprover: No such file or directory
% 2.52/208.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.52/208.40 eprover: No such file or directory
% 2.52/208.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.52/208.40 eprover: No such file or directory
% 2.52/208.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.52/208.41 eprover: No such file or directory
%------------------------------------------------------------------------------