TSTP Solution File: GEO440+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO440+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 03:45:45 EDT 2022
% Result : Theorem 11.04s 5.83s
% Output : CNFRefutation 11.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of clauses : 67 ( 25 unt; 11 nHn; 42 RR)
% Number of literals : 120 ( 67 equ; 52 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 78 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_406,plain,
( s(bool,X1) = s(bool,f0)
| s(bool,X1) = s(bool,t) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_406) ).
cnf(i_0_75,plain,
p(s(bool,t)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_75) ).
cnf(i_0_4228,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X1))))),s(real,i(s(fun(real,real),sqrt),s(real,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),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/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_4228) ).
cnf(i_0_3421,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_3421) ).
cnf(i_0_1065,plain,
s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),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))))))) = 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/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_1065) ).
cnf(i_0_2939,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/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_2939) ).
cnf(i_0_1150,plain,
( s(bool,X1) != s(bool,f0)
| ~ p(s(bool,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_1150) ).
cnf(i_0_5180,plain,
s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),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),X2))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_5180) ).
cnf(i_0_4242,plain,
~ p(s(bool,f0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_4242) ).
cnf(i_0_3768,plain,
p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_3768) ).
cnf(i_0_3941,plain,
( s(real,X1) != s(real,X2)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_3941) ).
cnf(i_0_2946,plain,
p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2)))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_2946) ).
cnf(i_0_2948,negated_conjecture,
( s(cart(real,esk921_0),i(s(fun(num,cart(real,esk921_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(cart(real,esk921_0),esk922_0)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,esk921_0),real),vectoru_norm),s(cart(real,esk921_0),esk922_0)))))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_2948) ).
cnf(i_0_3942,plain,
( s(real,X1) = s(real,X2)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_3942) ).
cnf(i_0_3945,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_3945) ).
cnf(i_0_1153,plain,
( s(bool,X1) = s(bool,t)
| ~ p(s(bool,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_1153) ).
cnf(i_0_2947,negated_conjecture,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,esk921_0),real),vectoru_norm),s(cart(real,esk921_0),esk922_0))))))
| s(cart(real,esk921_0),i(s(fun(num,cart(real,esk921_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(cart(real,esk921_0),esk922_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_2947) ).
cnf(i_0_2941,plain,
( 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)))))
| s(real,i(s(fun(cart(real,X1),real),vectoru_norm),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))))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zhey2zjr/lgb.p',i_0_2941) ).
cnf(c_0_5199,plain,
( s(bool,X1) = s(bool,f0)
| s(bool,X1) = s(bool,t) ),
i_0_406 ).
cnf(c_0_5200,plain,
p(s(bool,t)),
i_0_75 ).
cnf(c_0_5201,plain,
( s(bool,X1) = s(bool,t)
| s(bool,X2) = s(bool,t)
| s(bool,X1) = s(bool,X2) ),
inference(spm,[status(thm)],[c_0_5199,c_0_5199]) ).
cnf(c_0_5202,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X1))))),s(real,i(s(fun(real,real),sqrt),s(real,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),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_4228 ).
cnf(c_0_5203,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
i_0_3421 ).
cnf(c_0_5204,plain,
s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),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))))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
i_0_1065 ).
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,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_2939 ).
cnf(c_0_5206,plain,
( s(bool,X1) = s(bool,t)
| s(bool,X1) = s(bool,X2)
| p(s(bool,X2)) ),
inference(spm,[status(thm)],[c_0_5200,c_0_5201]) ).
cnf(c_0_5207,plain,
( s(bool,X1) != s(bool,f0)
| ~ p(s(bool,X1)) ),
i_0_1150 ).
cnf(c_0_5208,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X1))))),s(real,i(s(fun(real,real),sqrt),s(real,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))) ),
inference(rw,[status(thm)],[c_0_5202,c_0_5203]) ).
cnf(c_0_5209,plain,
s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),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),X2))),
i_0_5180 ).
cnf(c_0_5210,plain,
s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),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_5204,c_0_5203]),c_0_5203]) ).
cnf(c_0_5211,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_5205,c_0_5203]),c_0_5203]) ).
cnf(c_0_5212,plain,
~ p(s(bool,f0)),
i_0_4242 ).
cnf(c_0_5213,plain,
( s(bool,X1) = s(bool,X2)
| p(s(bool,X1))
| p(s(bool,X2)) ),
inference(spm,[status(thm)],[c_0_5200,c_0_5206]) ).
cnf(c_0_5214,plain,
( s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X1))))),s(real,i(s(fun(real,real),sqrt),s(real,X2))))) != s(bool,f0)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))) ),
inference(spm,[status(thm)],[c_0_5207,c_0_5208]) ).
cnf(c_0_5215,plain,
s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5209,c_0_5210]),c_0_5211]) ).
cnf(c_0_5216,plain,
p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)))),
i_0_3768 ).
cnf(c_0_5217,plain,
( s(real,X1) != s(real,X2)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))) ),
i_0_3941 ).
cnf(c_0_5218,plain,
( s(bool,X1) = s(bool,f0)
| p(s(bool,X1)) ),
inference(spm,[status(thm)],[c_0_5212,c_0_5213]) ).
cnf(c_0_5219,plain,
( s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(real,real),sqrt),s(real,X1))))) != s(bool,f0)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,X1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5214,c_0_5211]),c_0_5215]),c_0_5216])]) ).
cnf(c_0_5220,plain,
( s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))) = s(bool,f0)
| s(real,X1) != s(real,X2) ),
inference(spm,[status(thm)],[c_0_5217,c_0_5218]) ).
cnf(c_0_5221,plain,
p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2)))))),
i_0_2946 ).
cnf(c_0_5222,plain,
( s(real,i(s(fun(real,real),sqrt),s(real,X1))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,X1)))) ),
inference(spm,[status(thm)],[c_0_5219,c_0_5220]) ).
cnf(c_0_5223,negated_conjecture,
( s(cart(real,esk921_0),i(s(fun(num,cart(real,esk921_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(cart(real,esk921_0),esk922_0)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,esk921_0),real),vectoru_norm),s(cart(real,esk921_0),esk922_0)))))) ),
i_0_2948 ).
cnf(c_0_5224,plain,
( s(real,X1) = s(real,X2)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))) ),
i_0_3942 ).
cnf(c_0_5225,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1)))) ),
i_0_3945 ).
cnf(c_0_5226,plain,
( s(bool,X1) = s(bool,t)
| ~ p(s(bool,X1)) ),
i_0_1153 ).
cnf(c_0_5227,plain,
p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2)))))),
inference(rw,[status(thm)],[c_0_5221,c_0_5203]) ).
cnf(c_0_5228,plain,
( s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,X1))) = s(bool,f0)
| s(real,i(s(fun(real,real),sqrt),s(real,X1))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) ),
inference(spm,[status(thm)],[c_0_5222,c_0_5218]) ).
cnf(c_0_5229,negated_conjecture,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,esk921_0),real),vectoru_norm),s(cart(real,esk921_0),esk922_0))))))
| s(cart(real,esk921_0),i(s(fun(num,cart(real,esk921_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(cart(real,esk921_0),esk922_0) ),
i_0_2947 ).
cnf(c_0_5230,negated_conjecture,
( s(cart(real,esk921_0),i(s(fun(num,cart(real,esk921_0)),vec),s(num,u_0))) = s(cart(real,esk921_0),esk922_0)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,esk921_0),real),vectoru_norm),s(cart(real,esk921_0),esk922_0)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5223,c_0_5203]),c_0_5203]) ).
cnf(c_0_5231,plain,
( s(real,X1) = s(real,X2)
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X1))))
| s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))) != s(bool,f0) ),
inference(spm,[status(thm)],[c_0_5207,c_0_5224]) ).
cnf(c_0_5232,plain,
( s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))) = s(bool,f0)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1)))) ),
inference(spm,[status(thm)],[c_0_5225,c_0_5218]) ).
cnf(c_0_5233,plain,
s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))) = s(bool,t),
inference(spm,[status(thm)],[c_0_5226,c_0_5227]) ).
cnf(c_0_5234,plain,
( s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),sqrt),s(real,X1))))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,X1)))) ),
inference(spm,[status(thm)],[c_0_5219,c_0_5228]) ).
cnf(c_0_5235,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(real,real),sqrt),s(real,X1))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,X1)))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5208,c_0_5211]),c_0_5216])]),c_0_5215]) ).
cnf(c_0_5236,negated_conjecture,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,esk921_0),real),vectoru_norm),s(cart(real,esk921_0),esk922_0))))))
| s(cart(real,esk921_0),i(s(fun(num,cart(real,esk921_0)),vec),s(num,u_0))) != s(cart(real,esk921_0),esk922_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5229,c_0_5203]),c_0_5203]) ).
cnf(c_0_5237,negated_conjecture,
( s(real,i(s(fun(cart(real,esk921_0),real),vectoru_norm),s(cart(real,esk921_0),esk922_0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| s(cart(real,esk921_0),i(s(fun(num,cart(real,esk921_0)),vec),s(num,u_0))) = s(cart(real,esk921_0),esk922_0)
| s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk921_0),real),vectoru_norm),s(cart(real,esk921_0),esk922_0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))) != s(bool,f0) ),
inference(spm,[status(thm)],[c_0_5230,c_0_5231]) ).
cnf(c_0_5238,plain,
s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))) = s(bool,f0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5232,c_0_5233]),c_0_5200])]) ).
cnf(c_0_5239,plain,
( s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),sqrt),s(real,X1))))))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,X1)))) ),
inference(spm,[status(thm)],[c_0_5234,c_0_5235]) ).
cnf(c_0_5240,plain,
( s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,esk921_0),real),vectoru_norm),s(cart(real,esk921_0),esk922_0))))) = s(bool,t)
| s(cart(real,esk921_0),i(s(fun(num,cart(real,esk921_0)),vec),s(num,u_0))) != s(cart(real,esk921_0),esk922_0) ),
inference(spm,[status(thm)],[c_0_5226,c_0_5236]) ).
cnf(c_0_5241,negated_conjecture,
( s(real,i(s(fun(cart(real,esk921_0),real),vectoru_norm),s(cart(real,esk921_0),esk922_0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| s(cart(real,esk921_0),i(s(fun(num,cart(real,esk921_0)),vec),s(num,u_0))) = s(cart(real,esk921_0),esk922_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5237,c_0_5238])]) ).
cnf(c_0_5242,plain,
( 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)))))
| s(real,i(s(fun(cart(real,X1),real),vectoru_norm),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))))) ),
i_0_2941 ).
cnf(c_0_5243,plain,
( s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,esk921_0),real),vectoru_norm),s(cart(real,esk921_0),esk922_0))))))))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| s(cart(real,esk921_0),i(s(fun(num,cart(real,esk921_0)),vec),s(num,u_0))) != s(cart(real,esk921_0),esk922_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5239,c_0_5240]),c_0_5200])]) ).
cnf(c_0_5244,plain,
s(real,i(s(fun(cart(real,esk921_0),real),vectoru_norm),s(cart(real,esk921_0),esk922_0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))),
inference(spm,[status(thm)],[c_0_5211,c_0_5241]) ).
cnf(c_0_5245,plain,
( s(cart(real,X1),X2) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0)))
| s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5242,c_0_5203]),c_0_5203]) ).
cnf(c_0_5246,plain,
s(cart(real,esk921_0),i(s(fun(num,cart(real,esk921_0)),vec),s(num,u_0))) != s(cart(real,esk921_0),esk922_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5243,c_0_5244]),c_0_5215]),c_0_5215]),c_0_5215])]) ).
cnf(c_0_5247,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5245,c_0_5244]),c_0_5246]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO440+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jun 17 15:27:34 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.52/0.70 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.52/0.70 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.52/0.70 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.52/0.70 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.04/5.83 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.04/5.83 # No SInE strategy applied
% 11.04/5.83 # Trying AutoSched0 for 149 seconds
% 11.04/5.83 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SP_PI_S0Y
% 11.04/5.83 # and selection function SelectMaxLComplexAvoidPosPred.
% 11.04/5.83 #
% 11.04/5.83 # Preprocessing time : 0.014 s
% 11.04/5.83
% 11.04/5.83 # Proof found!
% 11.04/5.83 # SZS status Theorem
% 11.04/5.83 # SZS output start CNFRefutation
% See solution above
% 11.04/5.83 # Training examples: 0 positive, 0 negative
% 11.04/5.83
% 11.04/5.83 # -------------------------------------------------
% 11.04/5.83 # User time : 0.105 s
% 11.04/5.83 # System time : 0.005 s
% 11.04/5.83 # Total time : 0.110 s
% 11.04/5.83 # Maximum resident set size: 7124 pages
% 11.04/5.83
%------------------------------------------------------------------------------