TSTP Solution File: SWV053+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV053+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : Wed Jul 20 17:45:40 EDT 2022

% Result   : Theorem 7.58s 2.47s
% Output   : CNFRefutation 7.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   29
% Syntax   : Number of clauses     :  106 (  55 unt;  16 nHn;  78 RR)
%            Number of literals    :  268 ( 110 equ; 152 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  18 con; 0-3 aty)
%            Number of variables   :   34 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_168,plain,
    plus(plus(X1,n1),n1) = plus(X1,n2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_168) ).

cnf(i_0_165,plain,
    plus(n1,X1) = plus(X1,n1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_165) ).

cnf(i_0_161,plain,
    plus(plus(n0,n1),n1) = n2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_161) ).

cnf(i_0_160,plain,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_160) ).

cnf(i_0_170,plain,
    plus(plus(plus(X1,n1),n1),n1) = plus(X1,n3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_170) ).

cnf(i_0_162,plain,
    plus(plus(plus(n0,n1),n1),n1) = n3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_162) ).

cnf(i_0_169,plain,
    plus(plus(plus(X1,n1),n1),n1) = plus(n3,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_169) ).

cnf(i_0_172,plain,
    plus(plus(plus(plus(X1,n1),n1),n1),n1) = plus(X1,n4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_172) ).

cnf(i_0_163,plain,
    plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_163) ).

cnf(i_0_171,plain,
    plus(plus(plus(plus(X1,n1),n1),n1),n1) = plus(n4,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_171) ).

cnf(i_0_164,plain,
    plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_164) ).

cnf(i_0_7,negated_conjecture,
    ( leq(n0,esk1_0)
    | sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_7) ).

cnf(i_0_15,negated_conjecture,
    leq(n0,pv10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_15) ).

cnf(i_0_14,negated_conjecture,
    leq(n0,pv12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_14) ).

cnf(i_0_13,negated_conjecture,
    leq(pv10,minus(n135300,n1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_13) ).

cnf(i_0_12,negated_conjecture,
    leq(pv12,minus(n5,n1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_12) ).

cnf(i_0_146,plain,
    minus(plus(X1,n1),n1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_146) ).

cnf(i_0_176,plain,
    plus(tptp_minus_1,n1) = n0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_176) ).

cnf(i_0_177,plain,
    sum(n0,tptp_minus_1,X1) = n0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_177) ).

cnf(i_0_10,negated_conjecture,
    ( sum(n0,minus(n5,n1),a_select3(q,X1,X2)) = n1
    | ~ leq(n0,X1)
    | ~ leq(X1,minus(pv10,n1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_10) ).

cnf(i_0_8,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(esk3_0,minus(pv10,n1))
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_8) ).

cnf(i_0_3,negated_conjecture,
    ( leq(n0,esk3_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_3) ).

cnf(i_0_9,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(n0,esk3_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_9) ).

cnf(i_0_4,negated_conjecture,
    ( leq(esk1_0,minus(pv12,n1))
    | sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_4) ).

cnf(i_0_11,negated_conjecture,
    ( divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1)
    | ~ leq(n0,X1)
    | ~ leq(X1,minus(pv12,n1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_11) ).

cnf(i_0_6,negated_conjecture,
    ( leq(n0,esk3_0)
    | leq(esk1_0,minus(pv12,n1))
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_6) ).

cnf(i_0_1,negated_conjecture,
    ( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_1) ).

cnf(i_0_5,negated_conjecture,
    ( leq(esk1_0,minus(pv12,n1))
    | leq(esk3_0,minus(pv10,n1))
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_5) ).

cnf(i_0_2,negated_conjecture,
    ( leq(esk3_0,minus(pv10,n1))
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-resf1fjo/lgb.p',i_0_2) ).

cnf(c_0_207,plain,
    plus(plus(X1,n1),n1) = plus(X1,n2),
    i_0_168 ).

cnf(c_0_208,plain,
    plus(n1,X1) = plus(X1,n1),
    i_0_165 ).

cnf(c_0_209,plain,
    plus(plus(n0,n1),n1) = n2,
    i_0_161 ).

cnf(c_0_210,plain,
    plus(n0,n1) = n1,
    i_0_160 ).

cnf(c_0_211,plain,
    plus(plus(plus(X1,n1),n1),n1) = plus(X1,n3),
    i_0_170 ).

cnf(c_0_212,plain,
    plus(n1,plus(X1,n1)) = plus(X1,n2),
    inference(rw,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_213,plain,
    plus(plus(plus(n0,n1),n1),n1) = n3,
    i_0_162 ).

cnf(c_0_214,plain,
    plus(n1,n1) = n2,
    inference(rw,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_215,plain,
    plus(plus(plus(X1,n1),n1),n1) = plus(n3,X1),
    i_0_169 ).

cnf(c_0_216,plain,
    plus(n1,plus(X1,n2)) = plus(X1,n3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_208]),c_0_212]),c_0_208]) ).

cnf(c_0_217,plain,
    plus(plus(plus(plus(X1,n1),n1),n1),n1) = plus(X1,n4),
    i_0_172 ).

cnf(c_0_218,plain,
    plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
    i_0_163 ).

cnf(c_0_219,plain,
    plus(n1,n2) = n3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_210]),c_0_214]),c_0_208]) ).

cnf(c_0_220,plain,
    plus(X1,n3) = plus(n3,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_208]),c_0_212]),c_0_208]),c_0_216]) ).

cnf(c_0_221,plain,
    plus(plus(plus(plus(X1,n1),n1),n1),n1) = plus(n4,X1),
    i_0_171 ).

cnf(c_0_222,plain,
    plus(n1,plus(X1,n3)) = plus(X1,n4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_208]),c_0_212]),c_0_208]),c_0_216]),c_0_208]) ).

cnf(c_0_223,plain,
    plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
    i_0_164 ).

cnf(c_0_224,plain,
    plus(n1,n3) = n4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_210]),c_0_214]),c_0_208]),c_0_219]),c_0_220]) ).

cnf(c_0_225,negated_conjecture,
    ( leq(n0,esk1_0)
    | sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    i_0_7 ).

cnf(c_0_226,negated_conjecture,
    leq(n0,pv10),
    i_0_15 ).

cnf(c_0_227,negated_conjecture,
    leq(n0,pv12),
    i_0_14 ).

cnf(c_0_228,negated_conjecture,
    leq(pv10,minus(n135300,n1)),
    i_0_13 ).

cnf(c_0_229,negated_conjecture,
    leq(pv12,minus(n5,n1)),
    i_0_12 ).

cnf(c_0_230,plain,
    minus(plus(X1,n1),n1) = X1,
    i_0_146 ).

cnf(c_0_231,plain,
    plus(X1,n4) = plus(n4,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_208]),c_0_212]),c_0_208]),c_0_216]),c_0_208]),c_0_222]) ).

cnf(c_0_232,plain,
    plus(n1,n4) = n5,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_210]),c_0_214]),c_0_208]),c_0_219]),c_0_220]),c_0_224]),c_0_208]) ).

cnf(c_0_233,plain,
    plus(tptp_minus_1,n1) = n0,
    i_0_176 ).

cnf(c_0_234,negated_conjecture,
    ( leq(n0,esk1_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_226]),c_0_227]),c_0_228]),c_0_229])]) ).

cnf(c_0_235,plain,
    minus(n5,n1) = n4,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]) ).

cnf(c_0_236,plain,
    minus(plus(n1,X1),n1) = X1,
    inference(spm,[status(thm)],[c_0_230,c_0_208]) ).

cnf(c_0_237,plain,
    plus(n1,tptp_minus_1) = n0,
    inference(rw,[status(thm)],[c_0_233,c_0_208]) ).

cnf(c_0_238,negated_conjecture,
    ( leq(n0,esk1_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
    inference(rw,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_239,plain,
    minus(n0,n1) = tptp_minus_1,
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_240,plain,
    sum(n0,tptp_minus_1,X1) = n0,
    i_0_177 ).

cnf(c_0_241,negated_conjecture,
    ( sum(n0,minus(n5,n1),a_select3(q,X1,X2)) = n1
    | ~ leq(n0,X1)
    | ~ leq(X1,minus(pv10,n1)) ),
    i_0_10 ).

cnf(c_0_242,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(esk3_0,minus(pv10,n1))
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    i_0_8 ).

cnf(c_0_243,negated_conjecture,
    ( leq(n0,esk3_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    i_0_3 ).

cnf(c_0_244,negated_conjecture,
    ( leq(n0,esk1_0)
    | sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_239]),c_0_240])]) ).

cnf(c_0_245,negated_conjecture,
    ( sum(n0,n4,a_select3(q,X1,X2)) = n1
    | ~ leq(X1,minus(pv10,n1))
    | ~ leq(n0,X1) ),
    inference(rw,[status(thm)],[c_0_241,c_0_235]) ).

cnf(c_0_246,negated_conjecture,
    ( leq(esk3_0,minus(pv10,n1))
    | leq(n0,esk1_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_226]),c_0_227]),c_0_228]),c_0_229])]) ).

cnf(c_0_247,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(n0,esk3_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    i_0_9 ).

cnf(c_0_248,negated_conjecture,
    ( leq(n0,esk3_0)
    | divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_226]),c_0_227]),c_0_228]),c_0_229])]) ).

cnf(c_0_249,negated_conjecture,
    ( leq(n0,esk1_0)
    | ~ leq(esk3_0,minus(pv10,n1))
    | ~ leq(n0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_250,negated_conjecture,
    ( leq(esk3_0,minus(pv10,n1))
    | leq(n0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_239]),c_0_240])]) ).

cnf(c_0_251,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(n0,esk3_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_226]),c_0_227]),c_0_228]),c_0_229])]) ).

cnf(c_0_252,negated_conjecture,
    ( leq(esk1_0,minus(pv12,n1))
    | sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    i_0_4 ).

cnf(c_0_253,negated_conjecture,
    ( leq(n0,esk3_0)
    | divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
    inference(rw,[status(thm)],[c_0_248,c_0_235]) ).

cnf(c_0_254,negated_conjecture,
    ( divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1)
    | ~ leq(n0,X1)
    | ~ leq(X1,minus(pv12,n1)) ),
    i_0_11 ).

cnf(c_0_255,negated_conjecture,
    ( leq(n0,esk1_0)
    | ~ leq(n0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_256,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(n0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_239]),c_0_240])]) ).

cnf(c_0_257,negated_conjecture,
    ( leq(n0,esk3_0)
    | leq(esk1_0,minus(pv12,n1))
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    i_0_6 ).

cnf(c_0_258,negated_conjecture,
    ( leq(esk1_0,minus(pv12,n1))
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_252,c_0_226]),c_0_227]),c_0_228]),c_0_229])]) ).

cnf(c_0_259,negated_conjecture,
    ( leq(n0,esk3_0)
    | divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_239]),c_0_240])]) ).

cnf(c_0_260,negated_conjecture,
    ( divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1)
    | ~ leq(X1,minus(pv12,n1))
    | ~ leq(n0,X1) ),
    inference(rw,[status(thm)],[c_0_254,c_0_235]) ).

cnf(c_0_261,negated_conjecture,
    leq(n0,esk1_0),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_262,negated_conjecture,
    ( leq(esk1_0,minus(pv12,n1))
    | leq(n0,esk3_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_226]),c_0_227]),c_0_228]),c_0_229])]) ).

cnf(c_0_263,negated_conjecture,
    ( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    i_0_1 ).

cnf(c_0_264,negated_conjecture,
    ( leq(esk1_0,minus(pv12,n1))
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
    inference(rw,[status(thm)],[c_0_258,c_0_235]) ).

cnf(c_0_265,negated_conjecture,
    ( leq(n0,esk3_0)
    | ~ leq(esk1_0,minus(pv12,n1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261])]) ).

cnf(c_0_266,negated_conjecture,
    ( leq(esk1_0,minus(pv12,n1))
    | leq(n0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_239]),c_0_240])]) ).

cnf(c_0_267,negated_conjecture,
    ( leq(esk1_0,minus(pv12,n1))
    | leq(esk3_0,minus(pv10,n1))
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    i_0_5 ).

cnf(c_0_268,negated_conjecture,
    ( leq(esk3_0,minus(pv10,n1))
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | ~ leq(n0,pv10)
    | ~ leq(n0,pv12)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv12,minus(n5,n1)) ),
    i_0_2 ).

cnf(c_0_269,negated_conjecture,
    ( divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_226]),c_0_227]),c_0_228]),c_0_229])]) ).

cnf(c_0_270,negated_conjecture,
    ( leq(esk1_0,minus(pv12,n1))
    | sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_239]),c_0_240])]) ).

cnf(c_0_271,negated_conjecture,
    leq(n0,esk3_0),
    inference(spm,[status(thm)],[c_0_265,c_0_266]) ).

cnf(c_0_272,negated_conjecture,
    ( leq(esk1_0,minus(pv12,n1))
    | leq(esk3_0,minus(pv10,n1))
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_226]),c_0_227]),c_0_228]),c_0_229])]) ).

cnf(c_0_273,negated_conjecture,
    ( leq(esk3_0,minus(pv10,n1))
    | divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_226]),c_0_227]),c_0_228]),c_0_229])]) ).

cnf(c_0_274,negated_conjecture,
    ( divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
    | sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_235]),c_0_235]) ).

cnf(c_0_275,negated_conjecture,
    ( leq(esk1_0,minus(pv12,n1))
    | ~ leq(esk3_0,minus(pv10,n1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_245]),c_0_271])]) ).

cnf(c_0_276,negated_conjecture,
    ( leq(esk1_0,minus(pv12,n1))
    | leq(esk3_0,minus(pv10,n1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_239]),c_0_240])]) ).

cnf(c_0_277,negated_conjecture,
    ( leq(esk3_0,minus(pv10,n1))
    | divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
    inference(rw,[status(thm)],[c_0_273,c_0_235]) ).

cnf(c_0_278,negated_conjecture,
    ( divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
    | sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_239]),c_0_240])]) ).

cnf(c_0_279,negated_conjecture,
    leq(esk1_0,minus(pv12,n1)),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_280,negated_conjecture,
    ( leq(esk3_0,minus(pv10,n1))
    | divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_239]),c_0_240])]) ).

cnf(c_0_281,negated_conjecture,
    sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_260]),c_0_279]),c_0_261])]) ).

cnf(c_0_282,negated_conjecture,
    leq(esk3_0,minus(pv10,n1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_260]),c_0_279]),c_0_261])]) ).

cnf(c_0_283,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_245]),c_0_282]),c_0_271])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV053+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 06:48:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.58/2.47  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.58/2.47  # No SInE strategy applied
% 7.58/2.47  # Trying AutoSched0 for 150 seconds
% 7.58/2.47  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SP_PI_S0Y
% 7.58/2.47  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.58/2.47  #
% 7.58/2.47  # Preprocessing time       : 0.014 s
% 7.58/2.47  
% 7.58/2.47  # Proof found!
% 7.58/2.47  # SZS status Theorem
% 7.58/2.47  # SZS output start CNFRefutation
% See solution above
% 7.58/2.47  # Training examples: 0 positive, 0 negative
% 7.58/2.47  
% 7.58/2.47  # -------------------------------------------------
% 7.58/2.47  # User time                : 0.025 s
% 7.58/2.47  # System time              : 0.005 s
% 7.58/2.47  # Total time               : 0.030 s
% 7.58/2.47  # Maximum resident set size: 7128 pages
% 7.58/2.47  
%------------------------------------------------------------------------------