%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO442+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 03:45:46 EDT 2022

% Result   : Theorem 13.66s 6.78s
% Output   : CNFRefutation 13.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   68 (  26 unt;  14 nHn;  45 RR)
%            Number of literals    :  122 (  35 equ;  49 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   13 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  21 con; 0-2 aty)
%            Number of variables   :   69 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_318,plain,
    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(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_318) ).

cnf(i_0_3221,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_3221) ).

cnf(i_0_2721,negated_conjecture,
    ( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),vectoru_norm),s(cart(real,esk924_0),esk925_0))))),s(real,a0))))
    | ~ 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,a0))))
    | ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),i(s(fun(cart(real,esk924_0),fun(cart(real,esk924_0),real)),dot),s(cart(real,esk924_0),esk925_0))),s(cart(real,esk924_0),esk925_0))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),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)))))))))))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_2721) ).

cnf(i_0_3846,plain,
    s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),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(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X1))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_3846) ).

cnf(i_0_2717,plain,
    ( p(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),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(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),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))))))))))))
    | ~ p(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,a0)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_2717) ).

cnf(i_0_2716,plain,
    ( p(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,a0))))
    | ~ 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,a0))))
    | ~ p(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),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(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),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)))))))))))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_2716) ).

cnf(i_0_2719,negated_conjecture,
    ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),vectoru_norm),s(cart(real,esk924_0),esk925_0))))),s(real,a0))))
    | p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),i(s(fun(cart(real,esk924_0),fun(cart(real,esk924_0),real)),dot),s(cart(real,esk924_0),esk925_0))),s(cart(real,esk924_0),esk925_0))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),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)))))))))))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_2719) ).

cnf(i_0_304,plain,
    ( s(bool,X1) = s(bool,t)
    | s(bool,X1) = s(bool,f0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_304) ).

cnf(i_0_4832,plain,
    p(s(bool,t)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_4832) ).

cnf(i_0_3679,plain,
    ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),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-zbhylibt/lgb.p',i_0_3679) ).

cnf(i_0_4100,plain,
    ~ p(s(bool,f0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_4100) ).

cnf(i_0_2718,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,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
    | ~ p(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,a0)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_2718) ).

cnf(i_0_3793,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-zbhylibt/lgb.p',i_0_3793) ).

cnf(i_0_2720,negated_conjecture,
    ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),vectoru_norm),s(cart(real,esk924_0),esk925_0))))),s(real,a0))))
    | 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,a0)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_2720) ).

cnf(i_0_3485,plain,
    ( s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),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) != 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-zbhylibt/lgb.p',i_0_3485) ).

cnf(i_0_3575,plain,
    ( 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))))
    | ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X2)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_3575) ).

cnf(i_0_895,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),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X2)))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zbhylibt/lgb.p',i_0_895) ).

cnf(i_0_3792,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-zbhylibt/lgb.p',i_0_3792) ).

cnf(c_0_4851,plain,
    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(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))),
    i_0_318 ).

cnf(c_0_4852,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    i_0_3221 ).

cnf(c_0_4853,negated_conjecture,
    ( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),vectoru_norm),s(cart(real,esk924_0),esk925_0))))),s(real,a0))))
    | ~ 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,a0))))
    | ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),i(s(fun(cart(real,esk924_0),fun(cart(real,esk924_0),real)),dot),s(cart(real,esk924_0),esk925_0))),s(cart(real,esk924_0),esk925_0))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),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)))))))))))) ),
    i_0_2721 ).

cnf(c_0_4854,plain,
    s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))) = s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))),
    inference(rw,[status(thm)],[c_0_4851,c_0_4852]) ).

cnf(c_0_4855,plain,
    s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),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(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X1))),
    i_0_3846 ).

cnf(c_0_4856,negated_conjecture,
    ( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),i(s(fun(cart(real,esk924_0),fun(cart(real,esk924_0),real)),dot),s(cart(real,esk924_0),esk925_0))),s(cart(real,esk924_0),esk925_0))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))
    | ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),vectoru_norm),s(cart(real,esk924_0),esk925_0))))),s(real,a0))))
    | ~ 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,a0)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4853,c_0_4852]),c_0_4852]),c_0_4854]) ).

cnf(c_0_4857,plain,
    s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4855,c_0_4852]),c_0_4854]) ).

cnf(c_0_4858,plain,
    ( p(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),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(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),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))))))))))))
    | ~ p(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,a0)))) ),
    i_0_2717 ).

cnf(c_0_4859,plain,
    ( p(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,a0))))
    | ~ 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,a0))))
    | ~ p(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),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(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),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)))))))))))) ),
    i_0_2716 ).

cnf(c_0_4860,negated_conjecture,
    ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),vectoru_norm),s(cart(real,esk924_0),esk925_0))))),s(real,a0))))
    | p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),i(s(fun(cart(real,esk924_0),fun(cart(real,esk924_0),real)),dot),s(cart(real,esk924_0),esk925_0))),s(cart(real,esk924_0),esk925_0))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),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)))))))))))) ),
    i_0_2719 ).

cnf(c_0_4861,plain,
    ( s(bool,X1) = s(bool,t)
    | s(bool,X1) = s(bool,f0) ),
    i_0_304 ).

cnf(c_0_4862,negated_conjecture,
    ( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),i(s(fun(cart(real,esk924_0),fun(cart(real,esk924_0),real)),dot),s(cart(real,esk924_0),esk925_0))),s(cart(real,esk924_0),esk925_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,a0))),s(real,a0))))))
    | ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),vectoru_norm),s(cart(real,esk924_0),esk925_0))))),s(real,a0))))
    | ~ 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,a0)))) ),
    inference(rw,[status(thm)],[c_0_4856,c_0_4857]) ).

cnf(c_0_4863,plain,
    ( p(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),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(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,a0))),s(real,a0))))))
    | ~ p(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,a0)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4858,c_0_4852]),c_0_4854]),c_0_4857]) ).

cnf(c_0_4864,plain,
    ( p(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,a0))))
    | ~ p(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),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(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,a0))),s(real,a0))))))
    | ~ 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,a0)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4859,c_0_4852]),c_0_4852]),c_0_4854]),c_0_4857]) ).

cnf(c_0_4865,negated_conjecture,
    ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),i(s(fun(cart(real,esk924_0),fun(cart(real,esk924_0),real)),dot),s(cart(real,esk924_0),esk925_0))),s(cart(real,esk924_0),esk925_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,a0))),s(real,a0))))))
    | p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),vectoru_norm),s(cart(real,esk924_0),esk925_0))))),s(real,a0)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4860,c_0_4852]),c_0_4854]),c_0_4857]) ).

cnf(c_0_4866,plain,
    p(s(bool,t)),
    i_0_4832 ).

cnf(c_0_4867,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_4861,c_0_4861]) ).

cnf(c_0_4868,plain,
    ( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),vectoru_norm),s(cart(real,esk924_0),esk925_0))))),s(real,a0))))
    | ~ 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,a0)))) ),
    inference(spm,[status(thm)],[c_0_4862,c_0_4863]) ).

cnf(c_0_4869,negated_conjecture,
    ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),vectoru_norm),s(cart(real,esk924_0),esk925_0))))),s(real,a0))))
    | ~ 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,a0)))) ),
    inference(spm,[status(thm)],[c_0_4864,c_0_4865]) ).

cnf(c_0_4870,plain,
    ( s(bool,X1) = s(bool,t)
    | s(bool,X1) = s(bool,X2)
    | p(s(bool,X2)) ),
    inference(spm,[status(thm)],[c_0_4866,c_0_4867]) ).

cnf(c_0_4871,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,a0))))
    | ~ 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,a0)))) ),
    inference(spm,[status(thm)],[c_0_4868,c_0_4869]) ).

cnf(c_0_4872,plain,
    ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),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_3679 ).

cnf(c_0_4873,plain,
    ~ p(s(bool,f0)),
    i_0_4100 ).

cnf(c_0_4874,plain,
    ( s(bool,X1) = s(bool,X2)
    | p(s(bool,X1))
    | p(s(bool,X2)) ),
    inference(spm,[status(thm)],[c_0_4866,c_0_4870]) ).

cnf(c_0_4875,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,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
    | ~ p(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,a0)))) ),
    i_0_2718 ).

cnf(c_0_4876,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,a0)))),
    inference(spm,[status(thm)],[c_0_4871,c_0_4872]) ).

cnf(c_0_4877,plain,
    ( s(bool,X1) = s(bool,f0)
    | p(s(bool,X1)) ),
    inference(spm,[status(thm)],[c_0_4873,c_0_4874]) ).

cnf(c_0_4878,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_3793 ).

cnf(c_0_4879,negated_conjecture,
    ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),vectoru_norm),s(cart(real,esk924_0),esk925_0))))),s(real,a0))))
    | 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,a0)))) ),
    i_0_2720 ).

cnf(c_0_4880,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,a0))))
    | ~ p(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,a0)))) ),
    inference(rw,[status(thm)],[c_0_4875,c_0_4852]) ).

cnf(c_0_4881,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,a0))) = s(bool,f0),
    inference(spm,[status(thm)],[c_0_4876,c_0_4877]) ).

cnf(c_0_4882,plain,
    ( s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),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) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
    i_0_3485 ).

cnf(c_0_4883,plain,
    ( 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))))
    | ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X2)))) ),
    i_0_3575 ).

cnf(c_0_4884,plain,
    p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),
    inference(spm,[status(thm)],[c_0_4876,c_0_4878]) ).

cnf(c_0_4885,negated_conjecture,
    ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),vectoru_norm),s(cart(real,esk924_0),esk925_0))))),s(real,a0))))
    | 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,a0)))) ),
    inference(rw,[status(thm)],[c_0_4879,c_0_4852]) ).

cnf(c_0_4886,plain,
    ~ p(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,a0)))),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_4880,c_0_4881]),c_0_4873]) ).

cnf(c_0_4887,plain,
    ( s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X2))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
    | s(real,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_4882,c_0_4852]),c_0_4852]) ).

cnf(c_0_4888,plain,
    ( s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) = s(real,a0)
    | ~ 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,a0)))) ),
    inference(spm,[status(thm)],[c_0_4883,c_0_4884]) ).

cnf(c_0_4889,negated_conjecture,
    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,a0)))),
    inference(sr,[status(thm)],[c_0_4885,c_0_4886]) ).

cnf(c_0_4890,plain,
    ( s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),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)))
    | s(real,X2) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) ),
    inference(spm,[status(thm)],[c_0_4887,c_0_4887]) ).

cnf(c_0_4891,plain,
    s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) = s(real,a0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4888,c_0_4889])]) ).

cnf(c_0_4892,plain,
    ( s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,a0))) = s(real,a0)
    | s(real,X2) != s(real,a0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4890,c_0_4891]),c_0_4891]),c_0_4891]) ).

cnf(c_0_4893,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),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X2)))))),
    i_0_895 ).

cnf(c_0_4894,negated_conjecture,
    p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),i(s(fun(cart(real,esk924_0),fun(cart(real,esk924_0),real)),dot),s(cart(real,esk924_0),esk925_0))),s(cart(real,esk924_0),esk925_0))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,a0))),s(real,a0)))))),
    inference(sr,[status(thm)],[c_0_4865,c_0_4886]) ).

cnf(c_0_4895,plain,
    s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,a0))) = s(real,a0),
    inference(er,[status(thm)],[c_0_4892]) ).

cnf(c_0_4896,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),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X2)))))),
    inference(rw,[status(thm)],[c_0_4893,c_0_4852]) ).

cnf(c_0_4897,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_3792 ).

cnf(c_0_4898,negated_conjecture,
    p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,esk924_0),real),i(s(fun(cart(real,esk924_0),fun(cart(real,esk924_0),real)),dot),s(cart(real,esk924_0),esk925_0))),s(cart(real,esk924_0),esk925_0))))),s(real,a0)))),
    inference(rw,[status(thm)],[c_0_4894,c_0_4895]) ).

cnf(c_0_4899,plain,
    p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),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)))))),
    inference(rw,[status(thm)],[c_0_4896,c_0_4891]) ).

cnf(c_0_4900,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4897,c_0_4898]),c_0_4899])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GEO442+1 : TPTP v8.1.0. Released v7.0.0.
% 0.04/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n012.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 : Fri Jun 17 17:21:25 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected SinE mode:
% 0.58/0.78  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.78  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.58/0.78  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.58/0.78  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 13.66/6.78  # ENIGMATIC: Solved by autoschedule-lgb:
% 13.66/6.78  # No SInE strategy applied
% 13.66/6.78  # Trying AutoSched0 for 148 seconds
% 13.66/6.78  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SP_PI_S0Y
% 13.66/6.78  # and selection function SelectMaxLComplexAvoidPosPred.
% 13.66/6.78  #
% 13.66/6.78  # Preprocessing time       : 0.030 s
% 13.66/6.78  
% 13.66/6.78  # Proof found!
% 13.66/6.78  # SZS status Theorem
% 13.66/6.78  # SZS output start CNFRefutation
% See solution above
% 13.66/6.78  # Training examples: 0 positive, 0 negative
% 13.66/6.78  
% 13.66/6.78  # -------------------------------------------------
% 13.66/6.78  # User time                : 0.099 s
% 13.66/6.78  # System time              : 0.013 s
% 13.66/6.78  # Total time               : 0.112 s
% 13.66/6.78  # Maximum resident set size: 7120 pages
% 13.66/6.78  
%------------------------------------------------------------------------------