TSTP Solution File: NUM596+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM596+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 : Mon Jul 18 08:37:45 EDT 2022

% Result   : Theorem 59.45s 9.88s
% Output   : CNFRefutation 59.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   86 (  24 unt;  11 nHn;  86 RR)
%            Number of literals    :  250 (  43 equ; 158 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-4 aty)
%            Number of variables   :  135 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4215,hypothesis,
    aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_4215) ).

cnf(i_0_4213,hypothesis,
    szDzozmdt0(xd) = szNzAzT0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_4213) ).

cnf(i_0_16,plain,
    ( isFinite0(X1)
    | ~ aSet0(X2)
    | ~ isFinite0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_16) ).

cnf(i_0_145,hypothesis,
    isFinite0(xT),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_145) ).

cnf(i_0_146,hypothesis,
    aSet0(xT),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_146) ).

cnf(i_0_144,plain,
    ( aElement0(szDzizrdt0(X1))
    | ~ aFunction0(X1)
    | ~ isCountable0(szDzozmdt0(X1))
    | ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_144) ).

cnf(i_0_44,plain,
    isCountable0(szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_44) ).

cnf(i_0_4214,hypothesis,
    aFunction0(xd),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_4214) ).

cnf(i_0_39,plain,
    ( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
    | aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | ~ aElement0(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_39) ).

cnf(i_0_4217,hypothesis,
    ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
    | sdtlpdtrp0(xd,X2) != X1
    | ~ aElementOf0(X2,szDzozmdt0(xd)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_4217) ).

cnf(i_0_4221,negated_conjecture,
    ~ aElementOf0(szDzizrdt0(xd),xT),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_4221) ).

cnf(i_0_4216,hypothesis,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_4216) ).

cnf(i_0_123,plain,
    ( aElementOf0(X1,szDzozmdt0(X2))
    | X3 != sdtlbdtrb0(X2,X4)
    | ~ aElement0(X4)
    | ~ aFunction0(X2)
    | ~ aElementOf0(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_123) ).

cnf(i_0_37,plain,
    ( aSet0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_37) ).

cnf(i_0_28,plain,
    ( aSet0(X1)
    | X1 != sdtpldt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_28) ).

cnf(i_0_125,plain,
    ( aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))
    | ~ aElement0(X2)
    | ~ aFunction0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_125) ).

cnf(i_0_130,plain,
    ( sdtlpdtrp0(X1,esk14_4(X1,X2,X3,X4)) = X4
    | X3 != sdtlcdtrc0(X1,X2)
    | ~ aFunction0(X1)
    | ~ aElementOf0(X4,X3)
    | ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_130) ).

cnf(i_0_131,plain,
    ( aElementOf0(esk14_4(X1,X2,X3,X4),X2)
    | X3 != sdtlcdtrc0(X1,X2)
    | ~ aFunction0(X1)
    | ~ aElementOf0(X4,X3)
    | ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_131) ).

cnf(i_0_129,plain,
    ( aElementOf0(X1,X2)
    | X2 != sdtlcdtrc0(X3,X4)
    | sdtlpdtrp0(X3,X5) != X1
    | ~ aFunction0(X3)
    | ~ aElementOf0(X5,X4)
    | ~ aSubsetOf0(X4,szDzozmdt0(X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_129) ).

cnf(i_0_13,plain,
    ( aSubsetOf0(X1,X2)
    | aElementOf0(esk2_2(X2,X1),X1)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_13) ).

cnf(i_0_15,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_15) ).

cnf(i_0_45,plain,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_45) ).

cnf(i_0_122,plain,
    ( sdtlpdtrp0(X1,X2) = X3
    | X4 != sdtlbdtrb0(X1,X3)
    | ~ aElement0(X3)
    | ~ aFunction0(X1)
    | ~ aElementOf0(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_122) ).

cnf(i_0_10,plain,
    ( ~ aSet0(X1)
    | ~ isFinite0(X1)
    | ~ isCountable0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_10) ).

cnf(i_0_143,plain,
    ( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
    | ~ aFunction0(X1)
    | ~ isCountable0(szDzozmdt0(X1))
    | ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dx7f64xf/lgb.p',i_0_143) ).

cnf(c_0_4247,hypothesis,
    aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
    i_0_4215 ).

cnf(c_0_4248,hypothesis,
    szDzozmdt0(xd) = szNzAzT0,
    i_0_4213 ).

cnf(c_0_4249,plain,
    ( isFinite0(X1)
    | ~ aSet0(X2)
    | ~ isFinite0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_16 ).

cnf(c_0_4250,hypothesis,
    aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
    inference(rw,[status(thm)],[c_0_4247,c_0_4248]) ).

cnf(c_0_4251,hypothesis,
    isFinite0(xT),
    i_0_145 ).

cnf(c_0_4252,hypothesis,
    aSet0(xT),
    i_0_146 ).

cnf(c_0_4253,plain,
    ( aElement0(szDzizrdt0(X1))
    | ~ aFunction0(X1)
    | ~ isCountable0(szDzozmdt0(X1))
    | ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
    i_0_144 ).

cnf(c_0_4254,plain,
    isCountable0(szNzAzT0),
    i_0_44 ).

cnf(c_0_4255,hypothesis,
    aFunction0(xd),
    i_0_4214 ).

cnf(c_0_4256,hypothesis,
    isFinite0(sdtlcdtrc0(xd,szNzAzT0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4249,c_0_4250]),c_0_4251]),c_0_4252])]) ).

cnf(c_0_4257,plain,
    ( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
    | aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | ~ aElement0(X2) ),
    i_0_39 ).

cnf(c_0_4258,hypothesis,
    aElement0(szDzizrdt0(xd)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4253,c_0_4248]),c_0_4254]),c_0_4255])]),c_0_4256])]) ).

cnf(c_0_4259,hypothesis,
    ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
    | sdtlpdtrp0(xd,X2) != X1
    | ~ aElementOf0(X2,szDzozmdt0(xd)) ),
    i_0_4217 ).

cnf(c_0_4260,plain,
    ( sdtmndt0(sdtpldt0(X1,szDzizrdt0(xd)),szDzizrdt0(xd)) = X1
    | aElementOf0(szDzizrdt0(xd),X1)
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_4257,c_0_4258]) ).

cnf(c_0_4261,negated_conjecture,
    ~ aElementOf0(szDzizrdt0(xd),xT),
    i_0_4221 ).

cnf(c_0_4262,hypothesis,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    i_0_4216 ).

cnf(c_0_4263,hypothesis,
    ( aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
    | sdtlpdtrp0(xd,X2) != X1
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4259,c_0_4248]),c_0_4248]) ).

cnf(c_0_4264,plain,
    ( aElementOf0(X1,szDzozmdt0(X2))
    | X3 != sdtlbdtrb0(X2,X4)
    | ~ aElement0(X4)
    | ~ aFunction0(X2)
    | ~ aElementOf0(X1,X3) ),
    i_0_123 ).

cnf(c_0_4265,plain,
    ( aSet0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    i_0_37 ).

cnf(c_0_4266,hypothesis,
    sdtmndt0(sdtpldt0(xT,szDzizrdt0(xd)),szDzizrdt0(xd)) = xT,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4260,c_0_4252]),c_0_4261]) ).

cnf(c_0_4267,plain,
    ( aSet0(X1)
    | X1 != sdtpldt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    i_0_28 ).

cnf(c_0_4268,hypothesis,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0)) ),
    inference(rw,[status(thm)],[c_0_4262,c_0_4248]) ).

cnf(c_0_4269,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szNzAzT0))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_4263]) ).

cnf(c_0_4270,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | X2 != sdtlbdtrb0(xd,X3)
    | ~ aElement0(X3)
    | ~ aElementOf0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4264,c_0_4248]),c_0_4255])]) ).

cnf(c_0_4271,plain,
    ( aSet0(X1)
    | X1 != xT
    | ~ aSet0(sdtpldt0(xT,szDzizrdt0(xd))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4265,c_0_4266]),c_0_4258])]) ).

cnf(c_0_4272,plain,
    ( aSet0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_4267]) ).

cnf(c_0_4273,plain,
    ( aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))
    | ~ aElement0(X2)
    | ~ aFunction0(X1) ),
    i_0_125 ).

cnf(c_0_4274,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xd,X1),xT)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_4268,c_0_4269]) ).

cnf(c_0_4275,plain,
    ( sdtlpdtrp0(X1,esk14_4(X1,X2,X3,X4)) = X4
    | X3 != sdtlcdtrc0(X1,X2)
    | ~ aFunction0(X1)
    | ~ aElementOf0(X4,X3)
    | ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
    i_0_130 ).

cnf(c_0_4276,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,sdtlbdtrb0(xd,X2)) ),
    inference(er,[status(thm)],[c_0_4270]) ).

cnf(c_0_4277,plain,
    ( aElementOf0(esk14_4(X1,X2,X3,X4),X2)
    | X3 != sdtlcdtrc0(X1,X2)
    | ~ aFunction0(X1)
    | ~ aElementOf0(X4,X3)
    | ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
    i_0_131 ).

cnf(c_0_4278,plain,
    ( aElementOf0(X1,X2)
    | X2 != sdtlcdtrc0(X3,X4)
    | sdtlpdtrp0(X3,X5) != X1
    | ~ aFunction0(X3)
    | ~ aElementOf0(X5,X4)
    | ~ aSubsetOf0(X4,szDzozmdt0(X3)) ),
    i_0_129 ).

cnf(c_0_4279,plain,
    ( aSubsetOf0(X1,X2)
    | aElementOf0(esk2_2(X2,X1),X1)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    i_0_13 ).

cnf(c_0_4280,plain,
    ( aSet0(X1)
    | X1 != xT ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4271,c_0_4272]),c_0_4258]),c_0_4252])]) ).

cnf(c_0_4281,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_15 ).

cnf(c_0_4282,hypothesis,
    ( aSubsetOf0(sdtlbdtrb0(xd,X1),szNzAzT0)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4273,c_0_4248]),c_0_4255])]) ).

cnf(c_0_4283,plain,
    aSet0(szNzAzT0),
    i_0_45 ).

cnf(c_0_4284,plain,
    ( aElementOf0(X1,xT)
    | X2 != sdtlcdtrc0(xd,X3)
    | ~ aSubsetOf0(X3,szNzAzT0)
    | ~ aElementOf0(esk14_4(xd,X3,X2,X1),szNzAzT0)
    | ~ aElementOf0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4274,c_0_4275]),c_0_4248]),c_0_4255])]) ).

cnf(c_0_4285,plain,
    ( aElementOf0(esk14_4(X1,sdtlbdtrb0(xd,X2),X3,X4),szNzAzT0)
    | X3 != sdtlcdtrc0(X1,sdtlbdtrb0(xd,X2))
    | ~ aSubsetOf0(sdtlbdtrb0(xd,X2),szDzozmdt0(X1))
    | ~ aFunction0(X1)
    | ~ aElement0(X2)
    | ~ aElementOf0(X4,X3) ),
    inference(spm,[status(thm)],[c_0_4276,c_0_4277]) ).

cnf(c_0_4286,hypothesis,
    ( aElementOf0(X1,X2)
    | X2 != sdtlcdtrc0(xd,X3)
    | sdtlpdtrp0(xd,X4) != X1
    | ~ aSubsetOf0(X3,szNzAzT0)
    | ~ aElementOf0(X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4278,c_0_4248]),c_0_4255])]) ).

cnf(c_0_4287,plain,
    ( aSubsetOf0(X1,X2)
    | aElementOf0(esk2_2(X2,X1),X1)
    | X2 != xT
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_4279,c_0_4280]) ).

cnf(c_0_4288,plain,
    ( aSet0(sdtlbdtrb0(xd,X1))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4281,c_0_4282]),c_0_4283])]) ).

cnf(c_0_4289,plain,
    ( aElementOf0(X1,xT)
    | X2 != sdtlcdtrc0(xd,sdtlbdtrb0(xd,X3))
    | ~ aElement0(X3)
    | ~ aElementOf0(X1,X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4284,c_0_4285]),c_0_4248]),c_0_4255])]),c_0_4282]) ).

cnf(c_0_4290,hypothesis,
    ( aElementOf0(X1,sdtlcdtrc0(xd,X2))
    | sdtlpdtrp0(xd,X3) != X1
    | ~ aSubsetOf0(X2,szNzAzT0)
    | ~ aElementOf0(X3,X2) ),
    inference(er,[status(thm)],[c_0_4286]) ).

cnf(c_0_4291,plain,
    ( aSubsetOf0(sdtlbdtrb0(xd,X1),X2)
    | aElementOf0(esk2_2(X2,sdtlbdtrb0(xd,X1)),sdtlbdtrb0(xd,X1))
    | X2 != xT
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_4287,c_0_4288]) ).

cnf(c_0_4292,plain,
    ( aElementOf0(X1,xT)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,sdtlcdtrc0(xd,sdtlbdtrb0(xd,X2))) ),
    inference(er,[status(thm)],[c_0_4289]) ).

cnf(c_0_4293,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,X2))
    | ~ aSubsetOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,X2) ),
    inference(er,[status(thm)],[c_0_4290]) ).

cnf(c_0_4294,hypothesis,
    ( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),X1)
    | aElementOf0(esk2_2(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | X1 != xT ),
    inference(spm,[status(thm)],[c_0_4291,c_0_4258]) ).

cnf(c_0_4295,plain,
    ( sdtlpdtrp0(X1,X2) = X3
    | X4 != sdtlbdtrb0(X1,X3)
    | ~ aElement0(X3)
    | ~ aFunction0(X1)
    | ~ aElementOf0(X2,X4) ),
    i_0_122 ).

cnf(c_0_4296,plain,
    ( aElementOf0(sdtlpdtrp0(xd,X1),xT)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,sdtlbdtrb0(xd,X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4292,c_0_4293]),c_0_4282]) ).

cnf(c_0_4297,hypothesis,
    ( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),xT)
    | aElementOf0(esk2_2(xT,sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(er,[status(thm)],[c_0_4294]) ).

cnf(c_0_4298,plain,
    ( sdtlpdtrp0(X1,X2) = X3
    | ~ aFunction0(X1)
    | ~ aElement0(X3)
    | ~ aElementOf0(X2,sdtlbdtrb0(X1,X3)) ),
    inference(er,[status(thm)],[c_0_4295]) ).

cnf(c_0_4299,plain,
    ( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),xT)
    | aElementOf0(sdtlpdtrp0(xd,esk2_2(xT,sdtlbdtrb0(xd,szDzizrdt0(xd)))),xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4296,c_0_4297]),c_0_4258])]) ).

cnf(c_0_4300,plain,
    ( sdtlpdtrp0(xd,esk2_2(xT,sdtlbdtrb0(xd,szDzizrdt0(xd)))) = szDzizrdt0(xd)
    | aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4298,c_0_4297]),c_0_4255]),c_0_4258])]) ).

cnf(c_0_4301,plain,
    ( ~ aSet0(X1)
    | ~ isFinite0(X1)
    | ~ isCountable0(X1) ),
    i_0_10 ).

cnf(c_0_4302,plain,
    ( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
    | ~ aFunction0(X1)
    | ~ isCountable0(szDzozmdt0(X1))
    | ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
    i_0_143 ).

cnf(c_0_4303,plain,
    aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),xT),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4299,c_0_4300]),c_0_4261]) ).

cnf(c_0_4304,plain,
    ( ~ isFinite0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
    | ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
    | ~ isCountable0(szDzozmdt0(X1))
    | ~ aFunction0(X1)
    | ~ aSet0(sdtlbdtrb0(X1,szDzizrdt0(X1))) ),
    inference(spm,[status(thm)],[c_0_4301,c_0_4302]) ).

cnf(c_0_4305,plain,
    isFinite0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4249,c_0_4303]),c_0_4251]),c_0_4252])]) ).

cnf(c_0_4306,plain,
    aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4281,c_0_4303]),c_0_4252])]) ).

cnf(c_0_4307,plain,
    $false,
    inference(cn,[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)],[inference(spm,[status(thm)],[c_0_4304,c_0_4305]),c_0_4248]),c_0_4256]),c_0_4248]),c_0_4254]),c_0_4255]),c_0_4306])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : NUM596+3 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul  5 11:54:54 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 59.45/9.88  # ENIGMATIC: Solved by autoschedule-lgb:
% 59.45/9.88  # No SInE strategy applied
% 59.45/9.88  # Trying AutoSched0 for 150 seconds
% 59.45/9.88  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 59.45/9.88  # and selection function PSelectComplexExceptUniqMaxHorn.
% 59.45/9.88  #
% 59.45/9.88  # Preprocessing time       : 0.014 s
% 59.45/9.88  
% 59.45/9.88  # Proof found!
% 59.45/9.88  # SZS status Theorem
% 59.45/9.88  # SZS output start CNFRefutation
% See solution above
% 59.45/9.88  # Training examples: 0 positive, 0 negative
% 59.45/9.88  
% 59.45/9.88  # -------------------------------------------------
% 59.45/9.88  # User time                : 6.114 s
% 59.45/9.88  # System time              : 0.162 s
% 59.45/9.88  # Total time               : 6.276 s
% 59.45/9.88  # Maximum resident set size: 7120 pages
% 59.45/9.88  
%------------------------------------------------------------------------------