TSTP Solution File: NUM541+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM541+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 08:37:09 EDT 2022
% Result : Theorem 8.42s 2.31s
% Output : CNFRefutation 8.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 27
% Syntax : Number of clauses : 103 ( 20 unt; 21 nHn; 103 RR)
% Number of literals : 269 ( 68 equ; 156 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-1 aty)
% Number of variables : 98 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_77,plain,
( X1 = slcrc0
| sdtlseqdt0(X2,X3)
| X2 != szmzizndt0(X1)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_77) ).
cnf(i_0_6,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_6) ).
cnf(i_0_17,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_17) ).
cnf(i_0_45,plain,
aSet0(szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_45) ).
cnf(i_0_11,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_11) ).
cnf(i_0_7,plain,
( aSet0(X1)
| X1 != slcrc0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_7) ).
cnf(i_0_62,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_62) ).
cnf(i_0_93,hypothesis,
aElementOf0(xn,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_93) ).
cnf(i_0_46,plain,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_46) ).
cnf(i_0_44,plain,
isCountable0(szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_44) ).
cnf(i_0_48,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_48) ).
cnf(i_0_60,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_60) ).
cnf(i_0_54,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_54) ).
cnf(i_0_78,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_78) ).
cnf(i_0_94,hypothesis,
aElementOf0(xm,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_94) ).
cnf(i_0_104,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_104) ).
cnf(i_0_57,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_57) ).
cnf(i_0_87,plain,
( aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_87) ).
cnf(i_0_59,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_59) ).
cnf(i_0_88,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_88) ).
cnf(i_0_96,negated_conjecture,
( xn != xm
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_96) ).
cnf(i_0_61,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_61) ).
cnf(i_0_56,plain,
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_56) ).
cnf(i_0_114,negated_conjecture,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_114) ).
cnf(i_0_50,plain,
( X1 = sz00
| szszuzczcdt0(esk5_1(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_50) ).
cnf(i_0_51,plain,
( X1 = sz00
| aElementOf0(esk5_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_51) ).
cnf(i_0_58,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_k8zrut/input.p',i_0_58) ).
cnf(c_0_142,plain,
( X1 = slcrc0
| sdtlseqdt0(X2,X3)
| X2 != szmzizndt0(X1)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
i_0_77 ).
cnf(c_0_143,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
i_0_6 ).
cnf(c_0_144,plain,
( sdtlseqdt0(X1,X2)
| X1 != szmzizndt0(X3)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,X3) ),
inference(csr,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_145,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
i_0_17 ).
cnf(c_0_146,plain,
aSet0(szNzAzT0),
i_0_45 ).
cnf(c_0_147,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
i_0_11 ).
cnf(c_0_148,plain,
( aSet0(X1)
| X1 != slcrc0 ),
i_0_7 ).
cnf(c_0_149,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_62 ).
cnf(c_0_150,hypothesis,
aElementOf0(xn,szNzAzT0),
i_0_93 ).
cnf(c_0_151,plain,
( sdtlseqdt0(X1,X2)
| X1 != szmzizndt0(szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]) ).
cnf(c_0_152,plain,
aElementOf0(sz00,szNzAzT0),
i_0_46 ).
cnf(c_0_153,plain,
( X1 != slcrc0
| ~ isCountable0(X1) ),
inference(csr,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_154,plain,
isCountable0(szNzAzT0),
i_0_44 ).
cnf(c_0_155,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xn),X1)
| sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_156,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_48 ).
cnf(c_0_157,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_60 ).
cnf(c_0_158,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_54 ).
cnf(c_0_159,plain,
( sdtlseqdt0(X1,sz00)
| X1 != szmzizndt0(szNzAzT0) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_160,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
i_0_78 ).
cnf(c_0_161,plain,
slcrc0 != szNzAzT0,
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_162,plain,
( sdtlseqdt0(szszuzczcdt0(xn),szszuzczcdt0(X1))
| sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_163,hypothesis,
aElementOf0(xm,szNzAzT0),
i_0_94 ).
cnf(c_0_164,plain,
( X1 = sz00
| ~ sdtlseqdt0(X1,sz00)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_152]),c_0_158]) ).
cnf(c_0_165,plain,
sdtlseqdt0(szmzizndt0(szNzAzT0),sz00),
inference(er,[status(thm)],[c_0_159]) ).
cnf(c_0_166,plain,
( aElementOf0(X1,szNzAzT0)
| X1 != szmzizndt0(szNzAzT0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_145]),c_0_146])]),c_0_161]) ).
cnf(c_0_167,plain,
( X1 = szszuzczcdt0(X2)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ sdtlseqdt0(X1,szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_157,c_0_156]) ).
cnf(c_0_168,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xn),szszuzczcdt0(xm))
| sdtlseqdt0(szszuzczcdt0(xm),xn) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_169,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
i_0_104 ).
cnf(c_0_170,plain,
( szmzizndt0(szNzAzT0) = sz00
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_171,plain,
aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0),
inference(er,[status(thm)],[c_0_166]) ).
cnf(c_0_172,plain,
( szszuzczcdt0(xn) = szszuzczcdt0(xm)
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_150])]),c_0_169]) ).
cnf(c_0_173,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_57 ).
cnf(c_0_174,plain,
szmzizndt0(szNzAzT0) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).
cnf(c_0_175,plain,
( aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X3) ),
i_0_87 ).
cnf(c_0_176,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_59 ).
cnf(c_0_177,plain,
( szszuzczcdt0(xn) = szszuzczcdt0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_150]),c_0_163])]) ).
cnf(c_0_178,plain,
( sdtlseqdt0(X1,X2)
| X1 != sz00
| ~ aElementOf0(X2,szNzAzT0) ),
inference(rw,[status(thm)],[c_0_151,c_0_174]) ).
cnf(c_0_179,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0) ),
i_0_88 ).
cnf(c_0_180,plain,
( aElementOf0(X1,X2)
| X2 != slbdtrb0(szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_156]) ).
cnf(c_0_181,plain,
( szszuzczcdt0(xn) = szszuzczcdt0(xm)
| sz00 != xm
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_150])]) ).
cnf(c_0_182,negated_conjecture,
( xn != xm
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
i_0_96 ).
cnf(c_0_183,hypothesis,
( sdtlseqdt0(X1,xn)
| X1 != szmzizndt0(szNzAzT0) ),
inference(spm,[status(thm)],[c_0_151,c_0_150]) ).
cnf(c_0_184,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| X3 != slbdtrb0(szszuzczcdt0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,X3) ),
inference(spm,[status(thm)],[c_0_179,c_0_156]) ).
cnf(c_0_185,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_180]) ).
cnf(c_0_186,plain,
( szszuzczcdt0(xn) = szszuzczcdt0(xm)
| sz00 != xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_156]),c_0_163])]) ).
cnf(c_0_187,negated_conjecture,
( xn != xm
| ~ sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_173]),c_0_150]),c_0_163])]) ).
cnf(c_0_188,hypothesis,
( sdtlseqdt0(X1,xn)
| X1 != sz00 ),
inference(rw,[status(thm)],[c_0_183,c_0_174]) ).
cnf(c_0_189,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_61 ).
cnf(c_0_190,plain,
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ),
i_0_56 ).
cnf(c_0_191,negated_conjecture,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
i_0_114 ).
cnf(c_0_192,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_184]) ).
cnf(c_0_193,plain,
( aElementOf0(xn,slbdtrb0(szszuzczcdt0(xm)))
| sz00 != xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_150])]) ).
cnf(c_0_194,hypothesis,
( X1 = xm
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_157,c_0_163]) ).
cnf(c_0_195,negated_conjecture,
( xn != xm
| sz00 != xm ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_196,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X2)
| ~ sdtlseqdt0(X1,szszuzczcdt0(X3))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_189,c_0_156]) ).
cnf(c_0_197,negated_conjecture,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_150]),c_0_163])]) ).
cnf(c_0_198,plain,
( X1 = sz00
| szszuzczcdt0(esk5_1(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_50 ).
cnf(c_0_199,plain,
( sdtlseqdt0(szszuzczcdt0(xn),szszuzczcdt0(xm))
| sz00 != xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_163])]) ).
cnf(c_0_200,hypothesis,
( sz00 != xm
| ~ sdtlseqdt0(xn,xm) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_188]),c_0_150])]),c_0_195]) ).
cnf(c_0_201,plain,
( X1 = sz00
| aElementOf0(esk5_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_51 ).
cnf(c_0_202,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_173]),c_0_150]),c_0_163])]) ).
cnf(c_0_203,plain,
( sdtlseqdt0(szszuzczcdt0(xm),xn)
| sdtlseqdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_168]),c_0_163]),c_0_150])]) ).
cnf(c_0_204,negated_conjecture,
( xn = xm
| sdtlseqdt0(xm,xn)
| sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,szszuzczcdt0(xm))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_150]),c_0_163])]) ).
cnf(c_0_205,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_58 ).
cnf(c_0_206,hypothesis,
( szszuzczcdt0(esk5_1(xm)) = xm
| sz00 = xm ),
inference(spm,[status(thm)],[c_0_198,c_0_163]) ).
cnf(c_0_207,plain,
sz00 != xm,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_199]),c_0_163]),c_0_150])]),c_0_200]) ).
cnf(c_0_208,hypothesis,
( sz00 = xm
| aElementOf0(esk5_1(xm),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_201,c_0_163]) ).
cnf(c_0_209,hypothesis,
( X1 = xn
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_157,c_0_150]) ).
cnf(c_0_210,negated_conjecture,
( sdtlseqdt0(xn,xm)
| ~ sdtlseqdt0(xm,xn) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_211,plain,
( xn = xm
| sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_163])]) ).
cnf(c_0_212,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_192,c_0_185]) ).
cnf(c_0_213,hypothesis,
szszuzczcdt0(esk5_1(xm)) = xm,
inference(sr,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_214,hypothesis,
aElementOf0(esk5_1(xm),szNzAzT0),
inference(sr,[status(thm)],[c_0_208,c_0_207]) ).
cnf(c_0_215,hypothesis,
xn = xm,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_163])]),c_0_211]) ).
cnf(c_0_216,plain,
sdtlseqdt0(xm,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214])]) ).
cnf(c_0_217,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_215]),c_0_215]),c_0_216])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM541+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 01:12:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.42/2.31 # ENIGMATIC: Solved by autoschedule:
% 8.42/2.31 # No SInE strategy applied
% 8.42/2.31 # Trying AutoSched0 for 150 seconds
% 8.42/2.31 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 8.42/2.31 # and selection function PSelectComplexExceptUniqMaxHorn.
% 8.42/2.31 #
% 8.42/2.31 # Preprocessing time : 0.027 s
% 8.42/2.31
% 8.42/2.31 # Proof found!
% 8.42/2.31 # SZS status Theorem
% 8.42/2.31 # SZS output start CNFRefutation
% See solution above
% 8.42/2.31 # Training examples: 0 positive, 0 negative
% 8.42/2.31
% 8.42/2.31 # -------------------------------------------------
% 8.42/2.31 # User time : 0.102 s
% 8.42/2.31 # System time : 0.007 s
% 8.42/2.31 # Total time : 0.109 s
% 8.42/2.31 # Maximum resident set size: 7120 pages
% 8.42/2.31
%------------------------------------------------------------------------------