0.08/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.15	% Command    : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC
0.15/0.37	% Computer   : n027.cluster.edu
0.15/0.37	% Model      : x86_64 x86_64
0.15/0.37	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.37	% Memory     : 8042.1875MB
0.15/0.37	% OS         : Linux 3.10.0-693.el7.x86_64
0.15/0.37	% CPULimit   : 1200
0.15/0.37	% WCLimit    : 120
0.15/0.37	% DateTime   : Tue Jul 13 14:18:10 EDT 2021
0.15/0.37	% CPUTime    : 
0.15/0.37	% Number of cores: 8
0.15/0.38	% Python version: Python 3.6.8
0.15/0.38	# Version: 2.6rc1-ho
0.15/0.38	# No SInE strategy applied
0.15/0.38	# Trying AutoSched0 for 59 seconds
2.10/2.28	# AutoSched0-Mode selected heuristic SAT001_MinMin_x000000_rr
2.10/2.28	# and selection function SelectMaxLComplexAvoidPosPred.
2.10/2.28	#
2.10/2.28	# Preprocessing time       : 0.359 s
2.10/2.28	# Presaturation interreduction done
2.10/2.28	
2.10/2.28	# Proof found!
2.10/2.28	# SZS status Theorem
2.10/2.28	# SZS output start CNFRefutation
2.10/2.28	thf(conj, conjecture, c_not @ (![X1:$i > $o, X135:$i > $i]:c_and @ ((((c_TransSet @ (X135 @ c_Empty)=>![X136:$i]:(c_In @ X136 @ c_Empty=>?[X6:$i]:c_and @ (c_Subq @ X6 @ X136) @ (c_exactly2 @ (c_ordsucc @ (X135 @ X6)))))<=X1 @ (X135 @ (c_binintersect @ (X135 @ (c_Power @ c_Empty)) @ (X135 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))=>?[X137:$i]:c_and @ (?[X6:$i]:c_and @ (c_Subq @ X6 @ X137) @ ((?[X7:$i]:c_and @ (c_Subq @ X7 @ X137) @ (c_not @ (X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))))<=(X137)=(X135 @ X137)))) @ (c_not @ (c_SNo @ X137)))) @ (c_not @ (X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj)).
2.10/2.28	thf(ax13, axiom, (c_not)=(^[X232:$o]:(X232=>c_False)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax13)).
2.10/2.28	thf(ax5, axiom, c_not @ (?[X101:$i]:c_In @ X101 @ c_Empty), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax5)).
2.10/2.28	thf(ax76, axiom, (c_binrep)=(^[X244:$i, X2:$i]:c_setsum @ X244 @ (c_Power @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax76)).
2.10/2.28	thf(ax14, axiom, (c_and)=(^[X186:$o, X187:$o]:![X188:$o]:(X188<=((X188<=X187)<=X186))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax14)).
2.10/2.28	thf(c_0_5, plain, (epred124_0<=>(~(![X1:$i > $o, X135:$i > $i]:((~(((X1 @ (X135 @ (c_binintersect @ (X135 @ (c_Power @ c_Empty)) @ (X135 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))=>(c_TransSet @ (X135 @ c_Empty)=>![X136:$i]:(c_In @ X136 @ c_Empty=>?[X6:$i]:((~c_Subq @ X6 @ X136|((~c_exactly2 @ (c_ordsucc @ (X135 @ X6))|c_and @ $true @ $true)&(c_exactly2 @ (c_ordsucc @ (X135 @ X6))|c_and @ $true @ $false)))&(c_Subq @ X6 @ X136|((~c_exactly2 @ (c_ordsucc @ (X135 @ X6))|c_and @ $false @ $true)&(c_exactly2 @ (c_ordsucc @ (X135 @ X6))|c_and @ $false @ $false)))))))=>?[X137:$i]:((~(?[X6:$i]:((~c_Subq @ X6 @ X137|((~(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false))))))|c_and @ $true @ $true)&(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))))|c_and @ $true @ $false)))&(c_Subq @ X6 @ X137|((~(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false))))))|c_and @ $false @ $true)&(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))))|c_and @ $false @ $false)))))|((((~c_SNo @ X137|~c_not @ $true)&(c_SNo @ X137|~c_not @ $false))|c_and @ $true @ $true)&(((~c_SNo @ X137|c_not @ $true)&(c_SNo @ X137|c_not @ $false))|c_and @ $true @ $false)))&(?[X6:$i]:((~c_Subq @ X6 @ X137|((~(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false))))))|c_and @ $true @ $true)&(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))))|c_and @ $true @ $false)))&(c_Subq @ X6 @ X137|((~(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false))))))|c_and @ $false @ $true)&(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))))|c_and @ $false @ $false))))|((((~c_SNo @ X137|~c_not @ $true)&(c_SNo @ X137|~c_not @ $false))|c_and @ $false @ $true)&(((~c_SNo @ X137|c_not @ $true)&(c_SNo @ X137|c_not @ $false))|c_and @ $false @ $false))))))|((((~X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true)&(X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)&(X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(((X1 @ (X135 @ (c_binintersect @ (X135 @ (c_Power @ c_Empty)) @ (X135 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))=>(c_TransSet @ (X135 @ c_Empty)=>![X136:$i]:(c_In @ X136 @ c_Empty=>?[X6:$i]:((~c_Subq @ X6 @ X136|((~c_exactly2 @ (c_ordsucc @ (X135 @ X6))|c_and @ $true @ $true)&(c_exactly2 @ (c_ordsucc @ (X135 @ X6))|c_and @ $true @ $false)))&(c_Subq @ X6 @ X136|((~c_exactly2 @ 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@ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false))))))|c_and @ $true @ $true)&(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))))|c_and @ $true @ $false)))&(c_Subq @ X6 @ X137|((~(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false))))))|c_and @ $false @ $true)&(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))))|c_and @ $false @ $false)))))|((((~c_SNo @ X137|~c_not @ $true)&(c_SNo @ X137|~c_not @ $false))|c_and @ $true @ $true)&(((~c_SNo @ X137|c_not @ $true)&(c_SNo @ X137|c_not @ $false))|c_and @ $true @ $false)))&(?[X6:$i]:((~c_Subq @ X6 @ X137|((~(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false))))))|c_and @ $true @ $true)&(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))))|c_and @ $true @ $false)))&(c_Subq @ X6 @ X137|((~(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false))))))|c_and @ $false @ $true)&(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))))|c_and @ $false @ $false))))|((((~c_SNo @ X137|~c_not @ $true)&(c_SNo @ X137|~c_not @ $false))|c_and @ $false @ $true)&(((~c_SNo @ X137|c_not @ $true)&(c_SNo @ X137|c_not @ $false))|c_and @ $false @ $false)))))|((((~X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true)&(X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)&(X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))), introduced(definition)).
2.10/2.28	thf(c_0_8, negated_conjecture, ~((epred124_0&(![X1:$i > $o, X135:$i > $i]:(epred125_2 @ X135 @ X1&epred126_2 @ X135 @ X1)|c_not @ $false))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])])]), c_0_5]), c_0_6]), c_0_7])).
2.10/2.28	thf(c_0_9, plain, ![X232:$o]:(c_not @ X232<=>(X232=>c_False)), inference(fof_simplification,[status(thm)],[ax13])).
2.10/2.28	thf(c_0_10, plain, ((~(![X1:$i > $o, X135:$i > $i]:(epred125_2 @ X135 @ X1&epred126_2 @ X135 @ X1))|c_not @ $true)=>epred124_0), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_5]), c_0_6]), c_0_7])).
2.10/2.28	thf(c_0_11, negated_conjecture, ((~epred125_2 @ esk40_0 @ epred189_0|~epred126_2 @ esk40_0 @ epred189_0|~epred124_0)&(~c_not @ $false|~epred124_0)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])).
2.10/2.28	thf(c_0_12, plain, ![X773:$o]:((~c_not @ X773|(~X773|c_False))&((X773|c_not @ X773)&(~c_False|c_not @ X773))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
2.10/2.28	thf(c_0_13, plain, ![X136:$i, X135:$i > $i]:(epred118_2 @ X135 @ X136<=>?[X6:$i]:((~c_Subq @ X6 @ X136|((~c_exactly2 @ (c_ordsucc @ (X135 @ X6))|c_and @ $true @ $true)&(c_exactly2 @ (c_ordsucc @ (X135 @ X6))|c_and @ $true @ $false)))&(c_Subq @ X6 @ X136|((~c_exactly2 @ (c_ordsucc @ (X135 @ X6))|c_and @ $false @ $true)&(c_exactly2 @ (c_ordsucc @ (X135 @ X6))|c_and @ $false @ $false))))), introduced(definition)).
2.10/2.28	thf(c_0_14, plain, ![X1:$i > $o, X135:$i > $i, X137:$i]:(epred121_3 @ X137 @ X135 @ X1<=>(~(?[X6:$i]:((~c_Subq @ X6 @ X137|((~(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false))))))|c_and @ $true @ $true)&(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))))|c_and @ $true @ $false)))&(c_Subq @ X6 @ X137|((~(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false))))))|c_and @ $false @ $true)&(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))))|c_and @ $false @ $false)))))|((((~c_SNo @ X137|~c_not @ $true)&(c_SNo @ X137|~c_not @ $false))|c_and @ $true @ $true)&(((~c_SNo @ X137|c_not @ $true)&(c_SNo @ X137|c_not @ $false))|c_and @ $true @ $false)))), introduced(definition)).
2.10/2.28	thf(c_0_15, plain, ![X1:$i > $o, X135:$i > $i, X137:$i]:(epred122_3 @ X137 @ X135 @ X1<=>(?[X6:$i]:((~c_Subq @ X6 @ X137|((~(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false))))))|c_and @ $true @ $true)&(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))))|c_and @ $true @ $false)))&(c_Subq @ X6 @ X137|((~(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false))))))|c_and @ $false @ $true)&(((X137)=(X135 @ X137)=>?[X7:$i]:((~c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))&(c_Subq @ X7 @ X137|((((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $true)&(X1 @ (c_setprod @ X6 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))))|c_and @ $false @ $false))))|((((~c_SNo @ X137|~c_not @ $true)&(c_SNo @ X137|~c_not @ $false))|c_and @ $false @ $true)&(((~c_SNo @ X137|c_not @ $true)&(c_SNo @ X137|c_not @ $false))|c_and @ $false @ $false)))), introduced(definition)).
2.10/2.28	thf(c_0_16, axiom, ((~(?[X101:$i]:c_In @ X101 @ c_Empty)|c_not @ $true)&(?[X101:$i]:c_In @ X101 @ c_Empty|c_not @ $false)), inference(fool_unroll,[status(thm)],[ax5])).
2.10/2.28	thf(c_0_17, plain, ![X1804:$i > $o, X1805:$i > $i]:(((epred125_2 @ X1805 @ X1804|epred124_0)&(epred126_2 @ X1805 @ X1804|epred124_0))&(~c_not @ $true|epred124_0)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])).
2.10/2.28	thf(c_0_18, negated_conjecture, (~c_not @ $false|~epred124_0), inference(split_conjunct,[status(thm)],[c_0_11])).
2.10/2.28	thf(c_0_19, plain, c_not @ $false, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_12])])])).
2.10/2.28	thf(c_0_20, plain, ![X1:$i > $o, X135:$i > $i]:(epred125_2 @ X135 @ X1<=>(~(((X1 @ (X135 @ (c_binintersect @ (X135 @ (c_Power @ c_Empty)) @ (X135 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))=>(c_TransSet @ (X135 @ c_Empty)=>![X136:$i]:(c_In @ X136 @ c_Empty=>epred118_2 @ X135 @ X136)))=>?[X137:$i]:(epred121_3 @ X137 @ X135 @ X1&epred122_3 @ X137 @ X135 @ X1)))|((((~X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true)&(X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $false))|c_and @ $true @ $true)&(((~X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)&(X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $false))|c_and @ $true @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_6, c_0_13]), c_0_14]), c_0_15])).
2.10/2.28	thf(c_0_21, plain, ![X244:$i, X2:$i]:(c_binrep @ X244 @ X2)=(c_setsum @ X244 @ (c_Power @ X2)), inference(fof_simplification,[status(thm)],[ax76])).
2.10/2.28	thf(c_0_22, plain, ![X186:$o, X187:$o]:(c_and @ X186 @ X187<=>![X393:$o]:((X186=>(X187=>X393))=>X393)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])])).
2.10/2.28	thf(c_0_23, plain, ![X424:$i]:(epred11_1 @ X424<=>?[X425:$i]:(c_Inj1 @ X425)=(X424)), introduced(definition)).
2.10/2.28	thf(c_0_24, plain, ![X1:$i > $o, X135:$i > $i]:(epred126_2 @ X135 @ X1<=>(((X1 @ (X135 @ (c_binintersect @ (X135 @ (c_Power @ c_Empty)) @ (X135 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))=>(c_TransSet @ (X135 @ c_Empty)=>![X136:$i]:(c_In @ X136 @ c_Empty=>epred118_2 @ X135 @ X136)))=>?[X137:$i]:(epred121_3 @ X137 @ X135 @ X1&epred122_3 @ X137 @ X135 @ X1))|((((~X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true)&(X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $false))|c_and @ $false @ $true)&(((~X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)&(X1 @ (X135 @ (X135 @ (X135 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $false))|c_and @ $false @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_7, c_0_13]), c_0_14]), c_0_15])).
2.10/2.28	thf(c_0_25, plain, ![X566:$i]:((~c_In @ X566 @ c_Empty|c_not @ $true)&(c_In @ esk29_0 @ c_Empty|c_not @ $false)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])).
2.10/2.28	thf(c_0_26, plain, (epred124_0|~c_not @ $true), inference(split_conjunct,[status(thm)],[c_0_17])).
2.10/2.28	thf(c_0_27, negated_conjecture, ~epred124_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])).
2.10/2.28	thf(c_0_28, plain, ![X1806:$i > $o, X1807:$i > $i, X1808:$i, X1809:$i, X1810:$i > $o, X1811:$i > $i]:(((((~X1806 @ (X1807 @ (X1807 @ (X1807 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true|c_and @ $true @ $true|(~X1806 @ (X1807 @ (c_binintersect @ (X1807 @ (c_Power @ c_Empty)) @ (X1807 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))|(~c_TransSet @ (X1807 @ c_Empty)|(~c_In @ X1808 @ c_Empty|epred118_2 @ X1807 @ X1808)))|~epred125_2 @ X1807 @ X1806)&(X1806 @ (X1807 @ (X1807 @ (X1807 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $false|c_and @ $true @ $true|(~X1806 @ (X1807 @ (c_binintersect @ (X1807 @ (c_Power @ c_Empty)) @ (X1807 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))|(~c_TransSet @ (X1807 @ c_Empty)|(~c_In @ X1808 @ c_Empty|epred118_2 @ X1807 @ X1808)))|~epred125_2 @ X1807 @ X1806))&((~X1806 @ (X1807 @ (X1807 @ (X1807 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true|c_and @ $true @ $false|(~X1806 @ (X1807 @ (c_binintersect @ (X1807 @ (c_Power @ c_Empty)) @ (X1807 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))|(~c_TransSet @ (X1807 @ c_Empty)|(~c_In @ X1808 @ c_Empty|epred118_2 @ X1807 @ X1808)))|~epred125_2 @ X1807 @ X1806)&(X1806 @ (X1807 @ (X1807 @ (X1807 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $false|c_and @ $true @ $false|(~X1806 @ (X1807 @ (c_binintersect @ (X1807 @ (c_Power @ c_Empty)) @ (X1807 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))|(~c_TransSet @ (X1807 @ c_Empty)|(~c_In @ X1808 @ c_Empty|epred118_2 @ X1807 @ X1808)))|~epred125_2 @ X1807 @ X1806)))&(((~X1806 @ (X1807 @ (X1807 @ (X1807 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true|c_and @ $true @ $true|(~epred121_3 @ X1809 @ X1807 @ X1806|~epred122_3 @ X1809 @ X1807 @ X1806)|~epred125_2 @ X1807 @ X1806)&(X1806 @ (X1807 @ (X1807 @ (X1807 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $false|c_and @ $true @ $true|(~epred121_3 @ X1809 @ X1807 @ X1806|~epred122_3 @ X1809 @ X1807 @ X1806)|~epred125_2 @ X1807 @ X1806))&((~X1806 @ (X1807 @ (X1807 @ (X1807 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true|c_and @ $true @ $false|(~epred121_3 @ X1809 @ X1807 @ X1806|~epred122_3 @ X1809 @ X1807 @ X1806)|~epred125_2 @ X1807 @ X1806)&(X1806 @ (X1807 @ (X1807 @ (X1807 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $false|c_and @ $true @ $false|(~epred121_3 @ X1809 @ X1807 @ X1806|~epred122_3 @ X1809 @ X1807 @ X1806)|~epred125_2 @ X1807 @ X1806))))&((((epred121_3 @ (esk193_2 @ X1810 @ X1811) @ X1811 @ X1810|X1810 @ (X1811 @ (c_binintersect @ (X1811 @ (c_Power @ c_Empty)) @ (X1811 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))|epred125_2 @ X1811 @ X1810)&(epred122_3 @ (esk193_2 @ X1810 @ X1811) @ X1811 @ X1810|X1810 @ (X1811 @ (c_binintersect @ (X1811 @ (c_Power @ c_Empty)) @ (X1811 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))|epred125_2 @ X1811 @ X1810))&(((epred121_3 @ (esk193_2 @ X1810 @ X1811) @ X1811 @ X1810|c_TransSet @ (X1811 @ c_Empty)|epred125_2 @ X1811 @ X1810)&(epred122_3 @ (esk193_2 @ X1810 @ X1811) @ X1811 @ X1810|c_TransSet @ (X1811 @ c_Empty)|epred125_2 @ X1811 @ X1810))&(((epred121_3 @ (esk193_2 @ X1810 @ X1811) @ X1811 @ X1810|c_In @ (esk192_2 @ X1810 @ X1811) @ c_Empty|epred125_2 @ X1811 @ X1810)&(epred122_3 @ (esk193_2 @ X1810 @ X1811) @ X1811 @ X1810|c_In @ (esk192_2 @ X1810 @ X1811) @ c_Empty|epred125_2 @ X1811 @ X1810))&((epred121_3 @ (esk193_2 @ X1810 @ X1811) @ X1811 @ X1810|~epred118_2 @ X1811 @ (esk192_2 @ X1810 @ X1811)|epred125_2 @ X1811 @ X1810)&(epred122_3 @ (esk193_2 @ X1810 @ X1811) @ X1811 @ X1810|~epred118_2 @ X1811 @ (esk192_2 @ X1810 @ X1811)|epred125_2 @ X1811 @ X1810)))))&(((((((~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred125_2 @ X1811 @ X1810)&(~c_not @ $false|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred125_2 @ X1811 @ X1810))&((~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true|(~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred125_2 @ X1811 @ X1810)&(~c_not @ $false|~c_not @ $true|(~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred125_2 @ X1811 @ X1810)))&(~c_and @ $true @ $false|(~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred125_2 @ X1811 @ X1810))&((((~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(c_not @ $false|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred125_2 @ X1811 @ X1810)&(~c_not @ $false|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(c_not @ $false|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred125_2 @ X1811 @ X1810))&((~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true|(c_not @ $false|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred125_2 @ X1811 @ X1810)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred125_2 @ X1811 @ X1810)))&(~c_and @ $true @ $false|(c_not @ $false|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred125_2 @ X1811 @ X1810)))&(((((~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)|epred125_2 @ X1811 @ X1810)&(~c_not @ $false|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)|epred125_2 @ X1811 @ X1810))&((~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true|(~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)|epred125_2 @ X1811 @ X1810)&(~c_not @ $false|~c_not @ $true|(~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)|epred125_2 @ X1811 @ X1810)))&(~c_and @ $true @ $false|(~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)|epred125_2 @ X1811 @ X1810))&((((~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(c_not @ $false|c_not @ $true)|epred125_2 @ X1811 @ X1810)&(~c_not @ $false|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(c_not @ $false|c_not @ $true)|epred125_2 @ X1811 @ X1810))&((~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred125_2 @ X1811 @ X1810)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred125_2 @ X1811 @ X1810)))&(~c_and @ $true @ $false|(c_not @ $false|c_not @ $true)|epred125_2 @ X1811 @ X1810))))&((((~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_and @ $true @ $true|epred125_2 @ X1811 @ X1810)&(~c_not @ $false|X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_and @ $true @ $true|epred125_2 @ X1811 @ X1810))&((~X1810 @ (X1811 @ (X1811 @ (X1811 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true|~c_and @ $true @ $true|epred125_2 @ X1811 @ X1810)&(~c_not @ $false|~c_not @ $true|~c_and @ $true @ $true|epred125_2 @ X1811 @ X1810)))&(~c_and @ $true @ $false|~c_and @ $true @ $true|epred125_2 @ X1811 @ X1810))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])])])).
2.10/2.28	thf(c_0_29, plain, ![X4:$i > $i, X1:$i > $o]:(epred125_2 @ X4 @ X1|epred124_0), inference(split_conjunct,[status(thm)],[c_0_17])).
2.10/2.28	thf(c_0_30, plain, ![X783:$i, X784:$i]:(c_binrep @ X783 @ X784)=(c_setsum @ X783 @ (c_Power @ X784)), inference(variable_rename,[status(thm)],[c_0_21])).
2.10/2.28	thf(c_0_31, plain, ![X706:$o, X707:$o, X708:$o, X709:$o, X710:$o]:(((X706|X708|~c_and @ X706 @ X707)&((X707|X708|~c_and @ X706 @ X707)&(~X708|X708|~c_and @ X706 @ X707)))&((~X709|(~X710|epred191_2 @ X709 @ X710)|c_and @ X709 @ X710)&(~epred191_2 @ X709 @ X710|c_and @ X709 @ X710))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])])])).
2.10/2.28	thf(c_0_32, plain, ![X866:$i, X868:$i, X869:$i]:((~epred11_1 @ X866|(c_Inj1 @ (esk64_1 @ X866))=(X866))&((c_Inj1 @ X869)!=(X868)|epred11_1 @ X868)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])])).
2.10/2.28	thf(c_0_33, plain, ![X1814:$i > $o, X1815:$i > $i, X1818:$i > $o, X1819:$i > $i, X1820:$i, X1821:$i]:((((((~X1814 @ (X1815 @ (X1815 @ (X1815 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true|c_and @ $false @ $true|(epred121_3 @ (esk195_2 @ X1814 @ X1815) @ X1815 @ X1814|X1814 @ (X1815 @ (c_binintersect @ (X1815 @ (c_Power @ c_Empty)) @ (X1815 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|~epred126_2 @ X1815 @ X1814)&(X1814 @ (X1815 @ (X1815 @ (X1815 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $false|c_and @ $false @ $true|(epred121_3 @ (esk195_2 @ X1814 @ X1815) @ X1815 @ X1814|X1814 @ (X1815 @ (c_binintersect @ (X1815 @ (c_Power @ c_Empty)) @ (X1815 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|~epred126_2 @ X1815 @ X1814))&((~X1814 @ (X1815 @ (X1815 @ (X1815 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true|c_and @ $false @ $false|(epred121_3 @ (esk195_2 @ X1814 @ X1815) @ X1815 @ X1814|X1814 @ (X1815 @ (c_binintersect @ (X1815 @ (c_Power @ c_Empty)) @ (X1815 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|~epred126_2 @ X1815 @ X1814)&(X1814 @ (X1815 @ (X1815 @ (X1815 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $false|c_and @ $false @ $false|(epred121_3 @ (esk195_2 @ X1814 @ X1815) @ X1815 @ X1814|X1814 @ (X1815 @ (c_binintersect @ (X1815 @ (c_Power @ c_Empty)) @ (X1815 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|~epred126_2 @ X1815 @ X1814)))&(((~X1814 @ (X1815 @ (X1815 @ (X1815 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ 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(X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred126_2 @ X1819 @ X1818)))&(~c_and @ $false @ $false|(~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred126_2 @ X1819 @ X1818))&((((~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(c_not @ $false|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred126_2 @ X1819 @ X1818)&(~c_not @ $false|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(c_not @ $false|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred126_2 @ X1819 @ X1818))&((~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true|(c_not @ $false|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred126_2 @ X1819 @ X1818)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred126_2 @ X1819 @ X1818)))&(~c_and @ $false @ $false|(c_not @ $false|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|epred126_2 @ X1819 @ X1818)))&(((((~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)|epred126_2 @ X1819 @ X1818)&(~c_not @ $false|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)|epred126_2 @ X1819 @ X1818))&((~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true|(~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)|epred126_2 @ X1819 @ X1818)&(~c_not @ $false|~c_not @ $true|(~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)|epred126_2 @ X1819 @ X1818)))&(~c_and @ $false @ $false|(~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_not @ $true)|epred126_2 @ X1819 @ X1818))&((((~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(c_not @ $false|c_not @ $true)|epred126_2 @ X1819 @ X1818)&(~c_not @ $false|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|(c_not @ $false|c_not @ $true)|epred126_2 @ X1819 @ X1818))&((~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred126_2 @ X1819 @ X1818)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred126_2 @ X1819 @ X1818)))&(~c_and @ $false @ $false|(c_not @ $false|c_not @ $true)|epred126_2 @ X1819 @ X1818))))&((((~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_and @ $false @ $true|epred126_2 @ X1819 @ X1818)&(~c_not @ $false|X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_and @ $false @ $true|epred126_2 @ X1819 @ X1818))&((~X1818 @ (X1819 @ (X1819 @ (X1819 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~c_not @ $true|~c_and @ $false @ $true|epred126_2 @ X1819 @ X1818)&(~c_not @ $false|~c_not @ $true|~c_and @ $false @ $true|epred126_2 @ X1819 @ X1818)))&(~c_and @ $false @ $false|~c_and @ $false @ $true|epred126_2 @ X1819 @ X1818))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])])).
2.10/2.28	thf(c_0_34, plain, ![X4:$i > $i, X1:$i > $o]:(epred126_2 @ X4 @ X1|epred124_0), inference(split_conjunct,[status(thm)],[c_0_17])).
2.10/2.28	thf(c_0_35, plain, ![X2:$i]:(c_not @ $true|~c_In @ X2 @ c_Empty), inference(split_conjunct,[status(thm)],[c_0_25])).
2.10/2.28	thf(c_0_36, plain, ~c_not @ $true, inference(sr,[status(thm)],[c_0_26, c_0_27])).
2.10/2.28	thf(c_0_37, plain, ![X4:$i > $i, X2:$i, X1:$i > $o]:(c_not @ $true|c_and @ $true @ $false|~X1 @ (X4 @ (X4 @ (X4 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~epred121_3 @ X2 @ X4 @ X1|~epred122_3 @ X2 @ X4 @ X1|~epred125_2 @ X4 @ X1), inference(split_conjunct,[status(thm)],[c_0_28])).
2.10/2.28	thf(c_0_38, plain, ![X4:$i > $i, X1:$i > $o]:epred125_2 @ X4 @ X1, inference(sr,[status(thm)],[c_0_29, c_0_27])).
2.10/2.28	thf(c_0_39, plain, ![X2:$i, X3:$i]:(c_binrep @ X2 @ X3)=(c_setsum @ X2 @ (c_Power @ X3)), inference(split_conjunct,[status(thm)],[c_0_30])).
2.10/2.28	thf(c_0_40, plain, ![X10:$o]:~c_and @ X10 @ $false, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_31])])])).
2.10/2.28	thf(c_0_41, plain, ![X2:$i, X3:$i]:(epred11_1 @ X3|(c_Inj1 @ X2)!=(X3)), inference(split_conjunct,[status(thm)],[c_0_32])).
2.10/2.28	thf(c_0_42, plain, ![X4:$i > $i, X1:$i > $o]:(c_not @ $true|c_and @ $false @ $false|epred121_3 @ (esk195_2 @ X1 @ X4) @ X4 @ X1|c_In @ (esk194_2 @ X1 @ X4) @ c_Empty|~X1 @ (X4 @ (X4 @ (X4 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~epred126_2 @ X4 @ X1), inference(split_conjunct,[status(thm)],[c_0_33])).
2.10/2.28	thf(c_0_43, plain, ![X4:$i > $i, X1:$i > $o]:epred126_2 @ X4 @ X1, inference(sr,[status(thm)],[c_0_34, c_0_27])).
2.10/2.28	thf(c_0_44, plain, ![X10:$o]:~c_and @ $false @ X10, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_31])])])).
2.10/2.28	thf(c_0_45, plain, ![X2:$i]:~c_In @ X2 @ c_Empty, inference(sr,[status(thm)],[c_0_35, c_0_36])).
2.10/2.28	thf(c_0_46, plain, ![X4:$i > $i, X1:$i > $o]:(c_not @ $true|c_and @ $false @ $false|epred122_3 @ (esk195_2 @ X1 @ X4) @ X4 @ X1|c_In @ (esk194_2 @ X1 @ X4) @ c_Empty|~X1 @ (X4 @ (X4 @ (X4 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|~epred126_2 @ X4 @ X1), inference(split_conjunct,[status(thm)],[c_0_33])).
2.10/2.28	thf(c_0_47, plain, ![X4:$i > $i, X2:$i, X1:$i > $o]:(~X1 @ (X4 @ (X4 @ (X4 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))|~epred121_3 @ X2 @ X4 @ X1|~epred122_3 @ X2 @ X4 @ X1), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38]), c_0_39]), c_0_39]), c_0_39])]), c_0_36]), c_0_40])).
2.10/2.28	thf(c_0_48, plain, ![X2:$i]:epred11_1 @ (c_Inj1 @ X2), inference(er,[status(thm)],[c_0_41])).
2.10/2.28	thf(c_0_49, plain, ![X4:$i > $i, X1:$i > $o]:(X1 @ (X4 @ (X4 @ (X4 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_and @ $false @ $true|epred121_3 @ (esk195_2 @ X1 @ X4) @ X4 @ X1|c_In @ (esk194_2 @ X1 @ X4) @ c_Empty|~c_not @ $false|~epred126_2 @ X4 @ X1), inference(split_conjunct,[status(thm)],[c_0_33])).
2.10/2.28	thf(c_0_50, plain, ![X1:$i > $o, X4:$i > $i]:(epred121_3 @ (esk195_2 @ X1 @ X4) @ X4 @ X1|~X1 @ (X4 @ (X4 @ (X4 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43]), c_0_39]), c_0_39]), c_0_39])]), c_0_36]), c_0_44]), c_0_45])).
2.10/2.28	thf(c_0_51, plain, ![X4:$i > $i, X1:$i > $o]:(X1 @ (X4 @ (X4 @ (X4 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))|c_and @ $false @ $true|epred122_3 @ (esk195_2 @ X1 @ X4) @ X4 @ X1|c_In @ (esk194_2 @ X1 @ X4) @ c_Empty|~c_not @ $false|~epred126_2 @ X4 @ X1), inference(split_conjunct,[status(thm)],[c_0_33])).
2.10/2.28	thf(c_0_52, plain, ![X1:$i > $o, X4:$i > $i]:(epred122_3 @ (esk195_2 @ X1 @ X4) @ X4 @ X1|~X1 @ (X4 @ (X4 @ (X4 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_43]), c_0_39]), c_0_39]), c_0_39])]), c_0_36]), c_0_44]), c_0_45])).
2.10/2.28	thf(c_0_53, plain, ![X2:$i]:(~epred121_3 @ X2 @ c_Inj1 @ epred11_1|~epred122_3 @ X2 @ c_Inj1 @ epred11_1), inference(spm,[status(thm)],[c_0_47, c_0_48])).
2.10/2.28	thf(c_0_54, plain, ![X4:$i > $i, X1:$i > $o]:epred121_3 @ (esk195_2 @ X1 @ X4) @ X4 @ X1, inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_39]), c_0_39]), c_0_39]), c_0_19]), c_0_43])]), c_0_44]), c_0_45]), c_0_50])).
2.10/2.28	thf(c_0_55, plain, ![X4:$i > $i, X1:$i > $o]:epred122_3 @ (esk195_2 @ X1 @ X4) @ X4 @ X1, inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_39]), c_0_39]), c_0_39]), c_0_19]), c_0_43])]), c_0_44]), c_0_45]), c_0_52])).
2.10/2.28	thf(c_0_56, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55])]), ['proof']).
2.10/2.28	# SZS output end CNFRefutation
2.10/2.28	# Proof object total steps             : 57
2.10/2.28	# Proof object clause steps            : 28
2.10/2.28	# Proof object formula steps           : 29
2.10/2.28	# Proof object conjectures             : 5
2.10/2.28	# Proof object clause conjectures      : 2
2.10/2.28	# Proof object formula conjectures     : 3
2.10/2.28	# Proof object initial clauses used    : 15
2.10/2.28	# Proof object initial formulas used   : 5
2.10/2.28	# Proof object generating inferences   : 2
2.10/2.28	# Proof object simplifying inferences  : 53
2.10/2.28	# Training examples: 0 positive, 0 negative
2.10/2.28	# Parsed axioms                        : 213
2.10/2.28	# Removed by relevancy pruning/SinE    : 0
2.10/2.28	# Initial clauses                      : 7800
2.10/2.28	# Removed in clause preprocessing      : 2562
2.10/2.28	# Initial clauses in saturation        : 5238
2.10/2.28	# Processed clauses                    : 11691
2.10/2.28	# ...of these trivial                  : 532
2.10/2.28	# ...subsumed                          : 4446
2.10/2.28	# ...remaining for further processing  : 6713
2.10/2.28	# Other redundant clauses eliminated   : 258
2.10/2.28	# Clauses deleted for lack of memory   : 0
2.10/2.28	# Backward-subsumed                    : 158
2.10/2.28	# Backward-rewritten                   : 119
2.10/2.28	# Generated clauses                    : 46445
2.10/2.28	# ...of the previous two non-trivial   : 31910
2.10/2.28	# Contextual simplify-reflections      : 251
2.10/2.28	# Paramodulations                      : 23166
2.10/2.28	# Factorizations                       : 0
2.10/2.28	# NegExts                              : 6354
2.10/2.28	# Equation resolutions                 : 258
2.10/2.28	# Propositional unsat checks           : 0
2.10/2.28	#    Propositional check models        : 0
2.10/2.28	#    Propositional check unsatisfiable : 0
2.10/2.28	#    Propositional clauses             : 0
2.10/2.28	#    Propositional clauses after purity: 0
2.10/2.28	#    Propositional unsat core size     : 0
2.10/2.28	#    Propositional preprocessing time  : 0.000
2.10/2.28	#    Propositional encoding time       : 0.000
2.10/2.28	#    Propositional solver time         : 0.000
2.10/2.28	#    Success case prop preproc time    : 0.000
2.10/2.28	#    Success case prop encoding time   : 0.000
2.10/2.28	#    Success case prop solver time     : 0.000
2.10/2.28	# Current number of processed clauses  : 4046
2.10/2.28	#    Positive orientable unit clauses  : 182
2.10/2.28	#    Positive unorientable unit clauses: 2
2.10/2.28	#    Negative unit clauses             : 115
2.10/2.28	#    Non-unit-clauses                  : 3747
2.10/2.28	# Current number of unprocessed clauses: 26934
2.10/2.28	# ...number of literals in the above   : 102303
2.10/2.28	# Current number of archived formulas  : 0
2.10/2.28	# Current number of archived clauses   : 2638
2.10/2.28	# Clause-clause subsumption calls (NU) : 3932813
2.10/2.28	# Rec. Clause-clause subsumption calls : 1505002
2.10/2.28	# Non-unit clause-clause subsumptions  : 2198
2.10/2.28	# Unit Clause-clause subsumption calls : 42668
2.10/2.28	# Rewrite failures with RHS unbound    : 0
2.10/2.28	# BW rewrite match attempts            : 206
2.10/2.28	# BW rewrite match successes           : 41
2.10/2.28	# Condensation attempts                : 0
2.10/2.28	# Condensation successes               : 0
2.10/2.28	# Termbank termtop insertions          : 1135248
2.10/2.29	
2.10/2.29	# -------------------------------------------------
2.10/2.29	# User time                : 1.853 s
2.10/2.29	# System time              : 0.048 s
2.10/2.29	# Total time               : 1.901 s
2.10/2.29	# Maximum resident set size: 2072 pages
2.10/2.29	EOF