TSTP Solution File: GEO477+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO477+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 03:45:55 EDT 2022

% Result   : Theorem 10.10s 7.47s
% Output   : CNFRefutation 10.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   40 (  28 unt;   5 nHn;  15 RR)
%            Number of literals    :   56 (  35 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   16 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  19 con; 0-2 aty)
%            Number of variables   :   54 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_263,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(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))))))) != 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))))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7hufou6g/lgb.p',i_0_263) ).

cnf(i_0_848,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-7hufou6g/lgb.p',i_0_848) ).

cnf(i_0_5182,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-7hufou6g/lgb.p',i_0_5182) ).

cnf(i_0_3315,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7hufou6g/lgb.p',i_0_3315) ).

cnf(i_0_2780,plain,
    s(real,i(s(fun(cart(real,X1),real),vectoru_norm),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(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/tmp/enigma-theBenchmark.p-7hufou6g/lgb.p',i_0_2780) ).

cnf(i_0_3612,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),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7hufou6g/lgb.p',i_0_3612) ).

cnf(i_0_297,plain,
    ( s(bool,X1) = s(bool,t)
    | s(bool,X1) = s(bool,f0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7hufou6g/lgb.p',i_0_297) ).

cnf(i_0_4977,plain,
    p(s(bool,t)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7hufou6g/lgb.p',i_0_4977) ).

cnf(i_0_4225,plain,
    ~ p(s(bool,f0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7hufou6g/lgb.p',i_0_4225) ).

cnf(i_0_1023,plain,
    ( p(s(bool,X1))
    | s(bool,X1) != s(bool,t) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7hufou6g/lgb.p',i_0_1023) ).

cnf(i_0_3609,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),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7hufou6g/lgb.p',i_0_3609) ).

cnf(i_0_265,negated_conjecture,
    ( ~ p(s(bool,i(s(fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool),i(s(fun(cart(real,esk140_0),fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool)),between),s(cart(real,esk140_0),esk141_0))),s(prod(cart(real,esk140_0),cart(real,esk140_0)),i(s(fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0))),i(s(fun(cart(real,esk140_0),fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0)))),c_),s(cart(real,esk140_0),esk141_0))),s(cart(real,esk140_0),esk141_0))))))
    | ~ p(s(bool,i(s(fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool),i(s(fun(cart(real,esk140_0),fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool)),between),s(cart(real,esk140_0),esk141_0))),s(prod(cart(real,esk140_0),cart(real,esk140_0)),i(s(fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0))),i(s(fun(cart(real,esk140_0),fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0)))),c_),s(cart(real,esk140_0),esk141_0))),s(cart(real,esk140_0),esk142_0))))))
    | ~ p(s(bool,i(s(fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool),i(s(fun(cart(real,esk140_0),fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool)),between),s(cart(real,esk140_0),esk142_0))),s(prod(cart(real,esk140_0),cart(real,esk140_0)),i(s(fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0))),i(s(fun(cart(real,esk140_0),fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0)))),c_),s(cart(real,esk140_0),esk141_0))),s(cart(real,esk140_0),esk142_0)))))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7hufou6g/lgb.p',i_0_265) ).

cnf(i_0_956,plain,
    s(bool,i(s(fun(X1,bool),empty),s(X1,X2))) = s(bool,f0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7hufou6g/lgb.p',i_0_956) ).

cnf(c_0_5196,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(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))))))) != 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))))) ),
    i_0_263 ).

cnf(c_0_5197,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_848 ).

cnf(c_0_5198,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_5182 ).

cnf(c_0_5199,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    i_0_3315 ).

cnf(c_0_5200,plain,
    s(real,i(s(fun(cart(real,X1),real),vectoru_norm),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(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
    i_0_2780 ).

cnf(c_0_5201,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),
    i_0_3612 ).

cnf(c_0_5202,plain,
    ( s(bool,X1) = s(bool,t)
    | s(bool,X1) = s(bool,f0) ),
    i_0_297 ).

cnf(c_0_5203,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_5196,c_0_5197]),c_0_5197]),c_0_5197]) ).

cnf(c_0_5204,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_5198,c_0_5199]) ).

cnf(c_0_5205,plain,
    s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5200,c_0_5199]),c_0_5199]) ).

cnf(c_0_5206,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,u_0))))) = s(real,X1),
    inference(rw,[status(thm)],[c_0_5201,c_0_5199]) ).

cnf(c_0_5207,plain,
    p(s(bool,t)),
    i_0_4977 ).

cnf(c_0_5208,plain,
    ( s(bool,X1) = s(bool,t)
    | s(bool,X2) = s(bool,t)
    | s(bool,X2) = s(bool,X1) ),
    inference(spm,[status(thm)],[c_0_5202,c_0_5202]) ).

cnf(c_0_5209,plain,
    ~ p(s(bool,f0)),
    i_0_4225 ).

cnf(c_0_5210,plain,
    ( p(s(bool,X1))
    | s(bool,X1) != s(bool,t) ),
    i_0_1023 ).

cnf(c_0_5211,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),
    i_0_3609 ).

cnf(c_0_5212,negated_conjecture,
    ( ~ p(s(bool,i(s(fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool),i(s(fun(cart(real,esk140_0),fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool)),between),s(cart(real,esk140_0),esk141_0))),s(prod(cart(real,esk140_0),cart(real,esk140_0)),i(s(fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0))),i(s(fun(cart(real,esk140_0),fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0)))),c_),s(cart(real,esk140_0),esk141_0))),s(cart(real,esk140_0),esk141_0))))))
    | ~ p(s(bool,i(s(fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool),i(s(fun(cart(real,esk140_0),fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool)),between),s(cart(real,esk140_0),esk141_0))),s(prod(cart(real,esk140_0),cart(real,esk140_0)),i(s(fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0))),i(s(fun(cart(real,esk140_0),fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0)))),c_),s(cart(real,esk140_0),esk141_0))),s(cart(real,esk140_0),esk142_0))))))
    | ~ p(s(bool,i(s(fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool),i(s(fun(cart(real,esk140_0),fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool)),between),s(cart(real,esk140_0),esk142_0))),s(prod(cart(real,esk140_0),cart(real,esk140_0)),i(s(fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0))),i(s(fun(cart(real,esk140_0),fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0)))),c_),s(cart(real,esk140_0),esk141_0))),s(cart(real,esk140_0),esk142_0)))))) ),
    i_0_265 ).

cnf(c_0_5213,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5203,c_0_5204]),c_0_5205]),c_0_5206])]) ).

cnf(c_0_5214,plain,
    s(bool,i(s(fun(X1,bool),empty),s(X1,X2))) = s(bool,f0),
    i_0_956 ).

cnf(c_0_5215,plain,
    ( s(bool,X1) = s(bool,t)
    | s(bool,X2) = s(bool,X1)
    | p(s(bool,X2)) ),
    inference(spm,[status(thm)],[c_0_5207,c_0_5208]) ).

cnf(c_0_5216,plain,
    s(bool,f0) != s(bool,t),
    inference(spm,[status(thm)],[c_0_5209,c_0_5210]) ).

cnf(c_0_5217,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,u_0))))),s(real,X1))) = s(real,X1),
    inference(rw,[status(thm)],[c_0_5211,c_0_5199]) ).

cnf(c_0_5218,negated_conjecture,
    ~ p(s(bool,i(s(fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool),i(s(fun(cart(real,esk140_0),fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool)),between),s(cart(real,esk140_0),esk141_0))),s(prod(cart(real,esk140_0),cart(real,esk140_0)),i(s(fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0))),i(s(fun(cart(real,esk140_0),fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0)))),c_),s(cart(real,esk140_0),esk141_0))),s(cart(real,esk140_0),esk142_0)))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5212,c_0_5213]),c_0_5213])]) ).

cnf(c_0_5219,plain,
    ( s(bool,X1) = s(bool,f0)
    | p(s(bool,X1)) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5214,c_0_5215]),c_0_5214]),c_0_5216]) ).

cnf(c_0_5220,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5203,c_0_5204]),c_0_5205]),c_0_5217])]) ).

cnf(c_0_5221,plain,
    s(bool,i(s(fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool),i(s(fun(cart(real,esk140_0),fun(prod(cart(real,esk140_0),cart(real,esk140_0)),bool)),between),s(cart(real,esk140_0),esk141_0))),s(prod(cart(real,esk140_0),cart(real,esk140_0)),i(s(fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0))),i(s(fun(cart(real,esk140_0),fun(cart(real,esk140_0),prod(cart(real,esk140_0),cart(real,esk140_0)))),c_),s(cart(real,esk140_0),esk141_0))),s(cart(real,esk140_0),esk142_0))))) = s(bool,f0),
    inference(spm,[status(thm)],[c_0_5218,c_0_5219]) ).

cnf(c_0_5222,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5220,c_0_5221]),c_0_5209]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : GEO477+1 : TPTP v8.1.0. Released v7.0.0.
% 0.00/0.08  % Command  : enigmatic-eprover.py %s %d 1
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 600
% 0.07/0.26  % DateTime : Sat Jun 18 18:17:49 EDT 2022
% 0.07/0.26  % CPUTime  : 
% 0.11/0.33  # ENIGMATIC: Selected SinE mode:
% 0.45/0.65  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.65  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.45/0.65  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.45/0.65  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.10/7.47  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.10/7.47  # No SInE strategy applied
% 10.10/7.47  # Trying AutoSched0 for 148 seconds
% 10.10/7.47  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.10/7.47  # and selection function SelectComplexExceptUniqMaxHorn.
% 10.10/7.47  #
% 10.10/7.47  # Preprocessing time       : 0.014 s
% 10.10/7.47  # Presaturation interreduction done
% 10.10/7.47  
% 10.10/7.47  # Proof found!
% 10.10/7.47  # SZS status Theorem
% 10.10/7.47  # SZS output start CNFRefutation
% See solution above
% 10.10/7.47  # Training examples: 0 positive, 0 negative
% 10.10/7.47  
% 10.10/7.47  # -------------------------------------------------
% 10.10/7.47  # User time                : 0.122 s
% 10.10/7.47  # System time              : 0.008 s
% 10.10/7.47  # Total time               : 0.129 s
% 10.10/7.47  # Maximum resident set size: 8156 pages
% 10.10/7.47  
%------------------------------------------------------------------------------