TSTP Solution File: NUM628+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM628+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 08:38:05 EDT 2022

% Result   : Theorem 8.92s 2.58s
% Output   : CNFRefutation 8.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   28
% Syntax   : Number of clauses     :   86 (  40 unt;   0 nHn;  86 RR)
%            Number of literals    :  186 (  39 equ; 104 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  12 con; 0-2 aty)
%            Number of variables   :   70 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_162,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_162) ).

cnf(i_0_167,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_167) ).

cnf(i_0_166,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_166) ).

cnf(i_0_104,plain,
    ( aElementOf0(X1,X2)
    | sbrdtbr0(X1) != X3
    | X2 != slbdtsldtrb0(X4,X3)
    | ~ aSet0(X4)
    | ~ aSubsetOf0(X1,X4)
    | ~ aElementOf0(X3,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_104) ).

cnf(i_0_172,hypothesis,
    ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_172) ).

cnf(i_0_184,hypothesis,
    ( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_184) ).

cnf(i_0_213,hypothesis,
    sbrdtbr0(xP) = xk,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_213) ).

cnf(i_0_160,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_160) ).

cnf(i_0_215,hypothesis,
    sdtlpdtrp0(xe,xn) = xp,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_215) ).

cnf(i_0_216,hypothesis,
    aElementOf0(xn,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_216) ).

cnf(i_0_19,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aSet0(X3)
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X3,X2)
    | ~ aSubsetOf0(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_19) ).

cnf(i_0_15,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_15) ).

cnf(i_0_37,plain,
    ( aSet0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_37) ).

cnf(i_0_45,plain,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_45) ).

cnf(i_0_171,hypothesis,
    ( sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1)
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))),xk)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_171) ).

cnf(i_0_219,hypothesis,
    aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_219) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_3) ).

cnf(i_0_210,hypothesis,
    aElementOf0(xp,xO),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_210) ).

cnf(i_0_196,hypothesis,
    aSet0(xO),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_196) ).

cnf(i_0_207,hypothesis,
    sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_207) ).

cnf(i_0_206,hypothesis,
    szmzizndt0(xQ) = xp,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_206) ).

cnf(i_0_203,hypothesis,
    aSubsetOf0(xQ,xO),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_203) ).

cnf(i_0_187,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xd,X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_187) ).

cnf(i_0_208,hypothesis,
    aSet0(xP),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_208) ).

cnf(i_0_38,plain,
    ( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_38) ).

cnf(i_0_209,hypothesis,
    aElementOf0(xp,xQ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_209) ).

cnf(i_0_218,hypothesis,
    sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_218) ).

cnf(i_0_220,negated_conjecture,
    sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-31_t85m3/lgb.p',i_0_220) ).

cnf(c_0_249,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
    i_0_162 ).

cnf(c_0_250,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_167 ).

cnf(c_0_251,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_166 ).

cnf(c_0_252,plain,
    ( aElementOf0(X1,X2)
    | sbrdtbr0(X1) != X3
    | X2 != slbdtsldtrb0(X4,X3)
    | ~ aSet0(X4)
    | ~ aSubsetOf0(X1,X4)
    | ~ aElementOf0(X3,szNzAzT0) ),
    i_0_104 ).

cnf(c_0_253,hypothesis,
    ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_172 ).

cnf(c_0_254,hypothesis,
    ( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_184 ).

cnf(c_0_255,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_249,c_0_250]),c_0_251]) ).

cnf(c_0_256,plain,
    ( aElementOf0(X1,slbdtsldtrb0(X2,sbrdtbr0(X1)))
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_252])]) ).

cnf(c_0_257,hypothesis,
    sbrdtbr0(xP) = xk,
    i_0_213 ).

cnf(c_0_258,hypothesis,
    aElementOf0(xk,szNzAzT0),
    i_0_160 ).

cnf(c_0_259,hypothesis,
    ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xe,X1)),xk) = szDzozmdt0(sdtlpdtrp0(xC,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_260,hypothesis,
    sdtlpdtrp0(xe,xn) = xp,
    i_0_215 ).

cnf(c_0_261,hypothesis,
    aElementOf0(xn,szNzAzT0),
    i_0_216 ).

cnf(c_0_262,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aSet0(X3)
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X3,X2)
    | ~ aSubsetOf0(X1,X3) ),
    i_0_19 ).

cnf(c_0_263,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_15 ).

cnf(c_0_264,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xe,X1)))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_255,c_0_254]) ).

cnf(c_0_265,hypothesis,
    ( aElementOf0(xP,slbdtsldtrb0(X1,xk))
    | ~ aSet0(X1)
    | ~ aSubsetOf0(xP,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258])]) ).

cnf(c_0_266,hypothesis,
    slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),xp),xk) = szDzozmdt0(sdtlpdtrp0(xC,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261])]) ).

cnf(c_0_267,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X3,X2)
    | ~ aSubsetOf0(X1,X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_262,c_0_263]),c_0_263]) ).

cnf(c_0_268,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtmndt0(sdtlpdtrp0(xN,xn),xp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_260]),c_0_261])]) ).

cnf(c_0_269,plain,
    ( aSet0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    i_0_37 ).

cnf(c_0_270,plain,
    aSet0(szNzAzT0),
    i_0_45 ).

cnf(c_0_271,hypothesis,
    ( sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1)
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))),xk)) ),
    i_0_171 ).

cnf(c_0_272,hypothesis,
    ( aElementOf0(xP,szDzozmdt0(sdtlpdtrp0(xC,xn)))
    | ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),xp))
    | ~ aSubsetOf0(xP,sdtmndt0(sdtlpdtrp0(xN,xn),xp)) ),
    inference(spm,[status(thm)],[c_0_265,c_0_266]) ).

cnf(c_0_273,plain,
    ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),xp))
    | ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),xp))
    | ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(spm,[status(thm)],[c_0_267,c_0_268]) ).

cnf(c_0_274,hypothesis,
    aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    i_0_219 ).

cnf(c_0_275,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_276,hypothesis,
    aElementOf0(xp,xO),
    i_0_210 ).

cnf(c_0_277,hypothesis,
    aSet0(xO),
    i_0_196 ).

cnf(c_0_278,hypothesis,
    sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
    i_0_207 ).

cnf(c_0_279,hypothesis,
    szmzizndt0(xQ) = xp,
    i_0_206 ).

cnf(c_0_280,hypothesis,
    aSubsetOf0(xQ,xO),
    i_0_203 ).

cnf(c_0_281,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xd,X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
    i_0_187 ).

cnf(c_0_282,hypothesis,
    aSet0(xP),
    i_0_208 ).

cnf(c_0_283,plain,
    ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
    | ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_263,c_0_255]) ).

cnf(c_0_284,plain,
    ( aSet0(sdtmndt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_269]) ).

cnf(c_0_285,plain,
    ( aSet0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_250]),c_0_270])]) ).

cnf(c_0_286,hypothesis,
    ( sdtlpdtrp0(xc,sdtpldt0(X1,sdtlpdtrp0(xe,X2))) = sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1)
    | ~ aSet0(X1)
    | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xe,X2)),xk))
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_271,c_0_254]) ).

cnf(c_0_287,hypothesis,
    ( aElementOf0(xP,szDzozmdt0(sdtlpdtrp0(xC,xn)))
    | ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),xp)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274])]) ).

cnf(c_0_288,hypothesis,
    aElement0(xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277])]) ).

cnf(c_0_289,plain,
    ( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,X1) ),
    i_0_38 ).

cnf(c_0_290,hypothesis,
    sdtmndt0(xQ,xp) = xP,
    inference(rw,[status(thm)],[c_0_278,c_0_279]) ).

cnf(c_0_291,hypothesis,
    aElementOf0(xp,xQ),
    i_0_209 ).

cnf(c_0_292,hypothesis,
    aSet0(xQ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_280]),c_0_277])]) ).

cnf(c_0_293,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),xP) = sdtlpdtrp0(xd,X1)
    | ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
    | ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_265]),c_0_282])]) ).

cnf(c_0_294,hypothesis,
    sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
    i_0_218 ).

cnf(c_0_295,plain,
    ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X1)))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_285]) ).

cnf(c_0_296,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,xn),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,xp))
    | ~ aSet0(X1)
    | ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xn))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_260]),c_0_266]),c_0_261])]) ).

cnf(c_0_297,plain,
    ( aElementOf0(xP,szDzozmdt0(sdtlpdtrp0(xC,xn)))
    | ~ aSet0(sdtlpdtrp0(xN,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_284]),c_0_288])]) ).

cnf(c_0_298,hypothesis,
    sdtpldt0(xP,xp) = xQ,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291])]),c_0_292])]) ).

cnf(c_0_299,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = szDzizrdt0(xd)
    | ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_274]),c_0_294]),c_0_261])]) ).

cnf(c_0_300,hypothesis,
    ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
    | ~ aElement0(sdtlpdtrp0(xe,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_254]) ).

cnf(c_0_301,negated_conjecture,
    sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
    i_0_220 ).

cnf(c_0_302,hypothesis,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xc,xQ)
    | ~ aSet0(sdtlpdtrp0(xN,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298]),c_0_282])]) ).

cnf(c_0_303,hypothesis,
    sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = szDzizrdt0(xd),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_260]),c_0_288]),c_0_261])]) ).

cnf(c_0_304,negated_conjecture,
    sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
    inference(rw,[status(thm)],[c_0_301,c_0_294]) ).

cnf(c_0_305,hypothesis,
    ~ aSet0(sdtlpdtrp0(xN,xn)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_304]) ).

cnf(c_0_306,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_285]),c_0_261])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM628+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n021.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jul  7 12:06:36 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 8.92/2.58  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.92/2.58  # No SInE strategy applied
% 8.92/2.58  # Trying AutoSched0 for 150 seconds
% 8.92/2.58  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.92/2.58  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.92/2.58  #
% 8.92/2.58  # Preprocessing time       : 0.025 s
% 8.92/2.58  
% 8.92/2.58  # Proof found!
% 8.92/2.58  # SZS status Theorem
% 8.92/2.58  # SZS output start CNFRefutation
% See solution above
% 8.92/2.58  # Training examples: 0 positive, 0 negative
% 8.92/2.58  
% 8.92/2.58  # -------------------------------------------------
% 8.92/2.58  # User time                : 0.100 s
% 8.92/2.58  # System time              : 0.006 s
% 8.92/2.58  # Total time               : 0.106 s
% 8.92/2.58  # Maximum resident set size: 7124 pages
% 8.92/2.58  
%------------------------------------------------------------------------------