TSTP Solution File: NUM535+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM535+2 : 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 08:37:05 EDT 2022
% Result : Theorem 8.79s 2.61s
% Output : CNFRefutation 8.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 24
% Syntax : Number of clauses : 126 ( 19 unt; 60 nHn; 126 RR)
% Number of literals : 370 ( 49 equ; 186 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_33,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_33) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_3) ).
cnf(i_0_39,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_39) ).
cnf(i_0_38,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_38) ).
cnf(i_0_26,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X4 != sdtpldt0(X3,X2)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_26) ).
cnf(i_0_68,negated_conjecture,
( aElementOf0(esk5_0,xS)
| aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_68) ).
cnf(i_0_208,negated_conjecture,
aSet0(sdtmndt0(xS,xx)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_208) ).
cnf(i_0_67,negated_conjecture,
( aElementOf0(esk5_0,xS)
| ~ aElementOf0(esk6_0,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_67) ).
cnf(i_0_82,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X2,sdtpldt0(sdtmndt0(xS,xx),xx))
| X1 != xx
| X2 != xx
| ~ aElement0(X1)
| ~ aElement0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_82) ).
cnf(i_0_55,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_55) ).
cnf(i_0_36,plain,
( aElement0(X1)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_36) ).
cnf(i_0_54,negated_conjecture,
( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_54) ).
cnf(i_0_166,negated_conjecture,
( X1 != xx
| X2 != xx
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_166) ).
cnf(i_0_25,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_25) ).
cnf(i_0_180,negated_conjecture,
( aElementOf0(X1,xS)
| aElementOf0(X2,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_180) ).
cnf(i_0_171,negated_conjecture,
( aElementOf0(X1,xS)
| ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_171) ).
cnf(i_0_27,plain,
( aElement0(X1)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_27) ).
cnf(i_0_138,negated_conjecture,
aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_138) ).
cnf(i_0_34,plain,
( X1 != X2
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_34) ).
cnf(i_0_35,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_35) ).
cnf(i_0_93,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_93) ).
cnf(i_0_184,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_184) ).
cnf(i_0_94,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_94) ).
cnf(i_0_185,negated_conjecture,
( aElement0(X1)
| aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pm02x0uu/lgb.p',i_0_185) ).
cnf(c_0_233,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X4) ),
i_0_33 ).
cnf(c_0_234,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_235,plain,
( X1 = X2
| aElementOf0(X1,sdtmndt0(X3,X2))
| ~ aElement0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(X1,X3) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_233,c_0_234])]) ).
cnf(c_0_236,hypothesis,
aElementOf0(xx,xS),
i_0_39 ).
cnf(c_0_237,hypothesis,
aSet0(xS),
i_0_38 ).
cnf(c_0_238,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X4 != sdtpldt0(X3,X2)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4) ),
i_0_26 ).
cnf(c_0_239,hypothesis,
( xx = X1
| aElementOf0(xx,sdtmndt0(xS,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237])]) ).
cnf(c_0_240,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_234,c_0_237]) ).
cnf(c_0_241,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElement0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(X1,sdtpldt0(X3,X2)) ),
inference(er,[status(thm)],[c_0_238]) ).
cnf(c_0_242,negated_conjecture,
( aElementOf0(esk5_0,xS)
| aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
i_0_68 ).
cnf(c_0_243,negated_conjecture,
aSet0(sdtmndt0(xS,xx)),
i_0_208 ).
cnf(c_0_244,hypothesis,
( xx = X1
| aElementOf0(xx,sdtmndt0(xS,X1))
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_245,negated_conjecture,
( aElementOf0(esk5_0,xS)
| ~ aElementOf0(esk6_0,xS) ),
i_0_67 ).
cnf(c_0_246,negated_conjecture,
( esk6_0 = xx
| aElementOf0(esk6_0,sdtmndt0(xS,xx))
| aElementOf0(esk5_0,xS)
| ~ aElement0(xx) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243])]) ).
cnf(c_0_247,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X2,sdtpldt0(sdtmndt0(xS,xx),xx))
| X1 != xx
| X2 != xx
| ~ aElement0(X1)
| ~ aElement0(X2) ),
i_0_82 ).
cnf(c_0_248,negated_conjecture,
( esk5_0 = xx
| aElementOf0(xx,sdtmndt0(xS,esk5_0))
| ~ aElementOf0(esk6_0,xS) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_249,hypothesis,
( esk6_0 = xx
| aElementOf0(esk6_0,sdtmndt0(xS,xx))
| aElementOf0(esk5_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_240]),c_0_236])]) ).
cnf(c_0_250,negated_conjecture,
( aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(xx) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_247])]) ).
cnf(c_0_251,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
i_0_55 ).
cnf(c_0_252,hypothesis,
( esk5_0 = xx
| aElementOf0(esk6_0,sdtmndt0(xS,xx))
| aElementOf0(xx,sdtmndt0(xS,esk5_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_236])]),c_0_244]) ).
cnf(c_0_253,hypothesis,
aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_240]),c_0_236])]) ).
cnf(c_0_254,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(xx,sdtmndt0(xS,esk5_0))
| aElementOf0(esk6_0,sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253])]) ).
cnf(c_0_255,plain,
( aElement0(X1)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X2) ),
i_0_36 ).
cnf(c_0_256,negated_conjecture,
( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
i_0_54 ).
cnf(c_0_257,plain,
( esk6_0 = xx
| aElementOf0(xx,sdtmndt0(xS,esk5_0))
| aElementOf0(esk6_0,sdtmndt0(xS,xx))
| ~ aElement0(xx) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_254]),c_0_243])]) ).
cnf(c_0_258,negated_conjecture,
( X1 != xx
| X2 != xx
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) ),
i_0_166 ).
cnf(c_0_259,plain,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(X1,sdtmndt0(X3,X2)) ),
inference(er,[status(thm)],[c_0_255]) ).
cnf(c_0_260,negated_conjecture,
( aElementOf0(xx,sdtmndt0(xS,esk5_0))
| aElementOf0(esk6_0,sdtmndt0(xS,xx))
| ~ aElementOf0(esk6_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_252]),c_0_253])]) ).
cnf(c_0_261,hypothesis,
( esk6_0 = xx
| aElementOf0(esk6_0,sdtmndt0(xS,xx))
| aElementOf0(xx,sdtmndt0(xS,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_240]),c_0_236])]) ).
cnf(c_0_262,negated_conjecture,
~ aElementOf0(xx,sdtmndt0(xS,xx)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_258])]) ).
cnf(c_0_263,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X3) ),
i_0_25 ).
cnf(c_0_264,hypothesis,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X1,sdtmndt0(xS,X2)) ),
inference(spm,[status(thm)],[c_0_259,c_0_237]) ).
cnf(c_0_265,negated_conjecture,
( aElementOf0(esk6_0,sdtmndt0(xS,xx))
| aElementOf0(xx,sdtmndt0(xS,esk5_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_236])]),c_0_262]) ).
cnf(c_0_266,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(spm,[status(thm)],[c_0_234,c_0_243]) ).
cnf(c_0_267,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_263,c_0_234])]) ).
cnf(c_0_268,negated_conjecture,
( aElement0(esk6_0)
| aElementOf0(xx,sdtmndt0(xS,esk5_0))
| ~ aElement0(xx) ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_269,negated_conjecture,
( aElementOf0(X1,xS)
| aElementOf0(X2,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) ),
i_0_180 ).
cnf(c_0_270,negated_conjecture,
( aElementOf0(X1,xS)
| ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
i_0_171 ).
cnf(c_0_271,negated_conjecture,
( xx = X1
| aElementOf0(xx,sdtmndt0(xS,X1))
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(spm,[status(thm)],[c_0_239,c_0_266]) ).
cnf(c_0_272,plain,
( aElement0(X1)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X2) ),
i_0_27 ).
cnf(c_0_273,hypothesis,
( aElementOf0(X1,sdtpldt0(xS,X2))
| ~ aElement0(X2)
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_267,c_0_237]) ).
cnf(c_0_274,hypothesis,
( aElement0(esk6_0)
| aElementOf0(xx,sdtmndt0(xS,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_240]),c_0_236])]) ).
cnf(c_0_275,negated_conjecture,
( aElementOf0(xx,sdtmndt0(xS,esk5_0))
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_265]),c_0_270]) ).
cnf(c_0_276,negated_conjecture,
( esk6_0 = xx
| aElementOf0(xx,sdtmndt0(xS,esk5_0))
| aElementOf0(xx,sdtmndt0(xS,esk6_0)) ),
inference(spm,[status(thm)],[c_0_271,c_0_265]) ).
cnf(c_0_277,plain,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(X1,sdtpldt0(X3,X2)) ),
inference(er,[status(thm)],[c_0_272]) ).
cnf(c_0_278,hypothesis,
( aElementOf0(xx,sdtmndt0(xS,esk5_0))
| aElementOf0(X1,sdtpldt0(xS,esk6_0))
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_279,negated_conjecture,
( aElementOf0(xx,sdtmndt0(xS,esk5_0))
| aElementOf0(esk6_0,xS) ),
inference(spm,[status(thm)],[c_0_275,c_0_265]) ).
cnf(c_0_280,negated_conjecture,
( aElementOf0(xx,sdtmndt0(xS,esk6_0))
| aElementOf0(xx,sdtmndt0(xS,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_276]),c_0_262]) ).
cnf(c_0_281,hypothesis,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt0(xS,X2)) ),
inference(spm,[status(thm)],[c_0_277,c_0_237]) ).
cnf(c_0_282,negated_conjecture,
( aElementOf0(esk5_0,sdtpldt0(xS,esk6_0))
| aElementOf0(xx,sdtmndt0(xS,esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_245]),c_0_279]) ).
cnf(c_0_283,negated_conjecture,
( aElement0(xx)
| aElementOf0(xx,sdtmndt0(xS,esk6_0))
| ~ aElement0(esk5_0) ),
inference(spm,[status(thm)],[c_0_264,c_0_280]) ).
cnf(c_0_284,hypothesis,
( aElement0(esk5_0)
| aElementOf0(xx,sdtmndt0(xS,esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_274]) ).
cnf(c_0_285,hypothesis,
( aElement0(xx)
| aElementOf0(xx,sdtmndt0(xS,esk6_0))
| ~ aElementOf0(esk5_0,xS) ),
inference(spm,[status(thm)],[c_0_283,c_0_240]) ).
cnf(c_0_286,hypothesis,
( esk5_0 = xx
| aElementOf0(xx,sdtmndt0(xS,esk5_0)) ),
inference(spm,[status(thm)],[c_0_239,c_0_284]) ).
cnf(c_0_287,negated_conjecture,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),X2)) ),
inference(spm,[status(thm)],[c_0_277,c_0_243]) ).
cnf(c_0_288,negated_conjecture,
( aElement0(xx)
| aElementOf0(xx,sdtmndt0(xS,esk6_0))
| ~ aElementOf0(esk6_0,xS) ),
inference(spm,[status(thm)],[c_0_285,c_0_245]) ).
cnf(c_0_289,negated_conjecture,
aElementOf0(xx,sdtmndt0(xS,esk5_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_286]),c_0_253])]),c_0_279]) ).
cnf(c_0_290,negated_conjecture,
( aElement0(esk6_0)
| aElementOf0(esk5_0,xS)
| ~ aElement0(xx) ),
inference(spm,[status(thm)],[c_0_287,c_0_242]) ).
cnf(c_0_291,hypothesis,
( aElement0(xx)
| aElementOf0(esk6_0,sdtmndt0(xS,xx))
| aElementOf0(esk5_0,xS) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_249]),c_0_236])]),c_0_262]) ).
cnf(c_0_292,hypothesis,
( aElement0(xx)
| ~ aElement0(esk5_0) ),
inference(spm,[status(thm)],[c_0_264,c_0_289]) ).
cnf(c_0_293,hypothesis,
( aElement0(esk6_0)
| aElementOf0(esk5_0,xS) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_266]) ).
cnf(c_0_294,negated_conjecture,
aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)),
i_0_138 ).
cnf(c_0_295,hypothesis,
( aElement0(xx)
| ~ aElementOf0(esk5_0,xS) ),
inference(spm,[status(thm)],[c_0_292,c_0_240]) ).
cnf(c_0_296,hypothesis,
( aElementOf0(X1,sdtpldt0(xS,esk6_0))
| aElementOf0(esk5_0,xS)
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_273,c_0_293]) ).
cnf(c_0_297,hypothesis,
( xx = X1
| aElementOf0(xx,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_253]),c_0_294])]) ).
cnf(c_0_298,hypothesis,
( aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,xS)
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_273,c_0_295]) ).
cnf(c_0_299,hypothesis,
( aElementOf0(xx,sdtpldt0(xS,esk6_0))
| aElementOf0(esk5_0,xS) ),
inference(spm,[status(thm)],[c_0_296,c_0_236]) ).
cnf(c_0_300,hypothesis,
( xx = X1
| aElementOf0(xx,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_297,c_0_240]) ).
cnf(c_0_301,hypothesis,
( aElementOf0(esk6_0,sdtmndt0(xS,xx))
| aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_291]),c_0_298]) ).
cnf(c_0_302,hypothesis,
aElement0(xx),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_299]),c_0_293]),c_0_295]) ).
cnf(c_0_303,plain,
( X1 != X2
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X3) ),
i_0_34 ).
cnf(c_0_304,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
i_0_35 ).
cnf(c_0_305,negated_conjecture,
( esk5_0 = xx
| aElementOf0(xx,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),esk5_0))
| ~ aElementOf0(esk6_0,xS) ),
inference(spm,[status(thm)],[c_0_300,c_0_245]) ).
cnf(c_0_306,negated_conjecture,
( aElementOf0(esk5_0,sdtpldt0(xS,xx))
| aElementOf0(esk6_0,sdtmndt0(xS,xx))
| ~ aElementOf0(esk6_0,xS) ),
inference(spm,[status(thm)],[c_0_301,c_0_245]) ).
cnf(c_0_307,hypothesis,
( aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_273,c_0_302]) ).
cnf(c_0_308,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_303])]) ).
cnf(c_0_309,plain,
( aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3)) ),
inference(er,[status(thm)],[c_0_304]) ).
cnf(c_0_310,hypothesis,
( esk5_0 = xx
| aElementOf0(xx,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),esk5_0))
| aElementOf0(esk6_0,sdtmndt0(xS,xx)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_249]),c_0_236])]),c_0_300]) ).
cnf(c_0_311,hypothesis,
( aElementOf0(esk6_0,sdtmndt0(xS,xx))
| aElementOf0(esk5_0,sdtpldt0(xS,xx)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_249]),c_0_236])]),c_0_262]),c_0_307]) ).
cnf(c_0_312,negated_conjecture,
( ~ aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) ),
inference(spm,[status(thm)],[c_0_308,c_0_294]) ).
cnf(c_0_313,hypothesis,
( aElementOf0(X1,xS)
| ~ aElement0(X2)
| ~ aElementOf0(X1,sdtmndt0(xS,X2)) ),
inference(spm,[status(thm)],[c_0_309,c_0_237]) ).
cnf(c_0_314,negated_conjecture,
( aElementOf0(xx,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),esk5_0))
| aElementOf0(esk6_0,sdtmndt0(xS,xx)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_310]),c_0_262]) ).
cnf(c_0_315,plain,
( esk5_0 = xx
| aElementOf0(esk6_0,sdtmndt0(xS,xx))
| aElementOf0(esk5_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_311]),c_0_302]),c_0_237])]) ).
cnf(c_0_316,negated_conjecture,
~ aElementOf0(xx,sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)),
inference(spm,[status(thm)],[c_0_312,c_0_302]) ).
cnf(c_0_317,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,X2))
| ~ aElementOf0(X2,xS) ),
inference(spm,[status(thm)],[c_0_313,c_0_240]) ).
cnf(c_0_318,negated_conjecture,
( aElementOf0(esk6_0,sdtmndt0(xS,xx))
| aElementOf0(esk5_0,xS) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316]) ).
cnf(c_0_319,hypothesis,
aElementOf0(esk5_0,xS),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_236])]),c_0_245]) ).
cnf(c_0_320,plain,
( esk5_0 = X1
| aElementOf0(esk5_0,sdtmndt0(xS,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_319]),c_0_237])]) ).
cnf(c_0_321,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
i_0_93 ).
cnf(c_0_322,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
i_0_184 ).
cnf(c_0_323,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
i_0_94 ).
cnf(c_0_324,negated_conjecture,
( aElement0(X1)
| aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
i_0_185 ).
cnf(c_0_325,hypothesis,
( esk5_0 = xx
| aElementOf0(esk5_0,sdtmndt0(xS,xx)) ),
inference(spm,[status(thm)],[c_0_320,c_0_302]) ).
cnf(c_0_326,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(esk6_0,xS) ),
inference(csr,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_327,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(csr,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_328,negated_conjecture,
aElementOf0(esk5_0,sdtmndt0(xS,xx)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_325]),c_0_262]) ).
cnf(c_0_329,negated_conjecture,
( ~ aElementOf0(esk5_0,sdtmndt0(xS,xx))
| ~ aElementOf0(esk6_0,xS) ),
inference(spm,[status(thm)],[c_0_256,c_0_326]) ).
cnf(c_0_330,negated_conjecture,
aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_251]) ).
cnf(c_0_331,negated_conjecture,
~ aElementOf0(esk6_0,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_328])]) ).
cnf(c_0_332,plain,
( esk6_0 = xx
| aElementOf0(esk6_0,sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_330]),c_0_302]),c_0_243])]) ).
cnf(c_0_333,negated_conjecture,
aElementOf0(esk6_0,sdtmndt0(xS,xx)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_236])]) ).
cnf(c_0_334,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_333]),c_0_236])]),c_0_331]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM535+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n011.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 : Wed Jul 6 19:41:40 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected complete mode:
% 8.79/2.61 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.79/2.61 # No SInE strategy applied
% 8.79/2.61 # Trying AutoSched0 for 150 seconds
% 8.79/2.61 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04CA
% 8.79/2.61 # and selection function MSelectComplexExceptUniqMaxHorn.
% 8.79/2.61 #
% 8.79/2.61 # Preprocessing time : 0.016 s
% 8.79/2.61 # Presaturation interreduction done
% 8.79/2.61
% 8.79/2.61 # Proof found!
% 8.79/2.61 # SZS status Theorem
% 8.79/2.61 # SZS output start CNFRefutation
% See solution above
% 8.79/2.61 # Training examples: 0 positive, 0 negative
% 8.79/2.61
% 8.79/2.61 # -------------------------------------------------
% 8.79/2.61 # User time : 0.079 s
% 8.79/2.61 # System time : 0.005 s
% 8.79/2.61 # Total time : 0.083 s
% 8.79/2.61 # Maximum resident set size: 7128 pages
% 8.79/2.61
%------------------------------------------------------------------------------