0.04/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.13	% 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
0.13/0.34	% Computer   : n027.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1200
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Tue Jul 13 12:53:10 EDT 2021
0.13/0.34	% CPUTime    : 
0.13/0.34	% Number of cores: 8
0.13/0.35	% Python version: Python 3.6.8
0.13/0.35	# Version: 2.6rc1-ho
0.13/0.36	# No SInE strategy applied
0.13/0.36	# Trying AutoSched0 for 59 seconds
1.38/1.54	# AutoSched0-Mode selected heuristic SAT001_MinMin_x000000_rr
1.38/1.54	# and selection function SelectMaxLComplexAvoidPosPred.
1.38/1.54	#
1.38/1.54	# Preprocessing time       : 0.285 s
1.38/1.54	# Presaturation interreduction done
1.38/1.54	
1.38/1.54	# Proof found!
1.38/1.54	# SZS status Theorem
1.38/1.54	# SZS output start CNFRefutation
1.38/1.54	thf(conj, conjecture, c_not @ (![X4:$i > $o, X2:$i > $i, X3:$i]:(c_In @ X3 @ (X2 @ (X2 @ (X2 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ (^[X5:$i]:X5)) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))=>![X5:$i]:(c_Subq @ X5 @ X3=>(?[X6:$i]:c_and @ (c_Subq @ X6 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_and @ (c_not @ (X4 @ X6)) @ (c_not @ (c_exactly5 @ c_Empty)))=>c_not @ (X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj)).
1.38/1.54	thf(ax13, axiom, (c_not)=(^[X141:$o]:(c_False<=X141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax13)).
1.38/1.54	thf(ax7, axiom, ![X1:$i, X25:$i]:c_iff @ (c_In @ X25 @ (c_Power @ X1)) @ (c_Subq @ X25 @ X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax7)).
1.38/1.54	thf(ax3, axiom, ![X129:$o, X130:$o]:(c_iff @ (X129) @ (X130)=>(X129<=>X130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax3)).
1.38/1.54	thf(ax76, axiom, (c_binrep)=(^[X1:$i, X159:$i]:c_setsum @ X1 @ (c_Power @ X159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax76)).
1.38/1.54	thf(ax14, axiom, (c_and)=(^[X132:$o, X133:$o]:![X134:$o]:((X132=>(X134<=X133))=>X134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax14)).
1.38/1.54	thf(ax5, axiom, c_not @ (?[X1:$i]:c_In @ X1 @ c_Empty), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax5)).
1.38/1.54	thf(ax17, axiom, (c_Subq)=(^[X1:$i, X177:$i]:![X3:$i]:(c_In @ X3 @ X177<=c_In @ X3 @ X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax17)).
1.38/1.54	thf(ax1, axiom, ![X30:$i > $o, X31:$i]:(X30 @ X31=>X30 @ (c_Eps_i @ X30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax1)).
1.38/1.54	thf(ax27, axiom, (c_exactly5)=(^[X1:$i]:c_and @ (c_atleast5 @ X1) @ (c_not @ (c_atleast6 @ X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax27)).
1.38/1.54	thf(ax22, axiom, (c_atleast5)=(^[X1:$i]:?[X176:$i]:c_and @ (c_Subq @ X176 @ X1) @ (c_and @ (c_not @ (c_Subq @ X1 @ X176)) @ (c_atleast4 @ X176))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax22)).
1.38/1.54	thf(c_0_11, plain, ![X5:$i]:(esk3_1 @ X5)=(X5), introduced(definition)).
1.38/1.54	thf(c_0_12, plain, (epred17_0<=>(~(![X4:$i > $o, X2:$i > $i, X3:$i]:(c_In @ X3 @ (X2 @ (X2 @ (X2 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ esk3_1) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))=>![X5:$i]:(c_Subq @ X5 @ X3=>(?[X6:$i]:((~c_Subq @ X6 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|((((((~X4 @ X6|~c_not @ $true)&(X4 @ X6|~c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|~c_and @ $true @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|~c_and @ $true @ $false)))&(((~X4 @ X6|c_not @ $true)&(X4 @ X6|c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|~c_and @ $false @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|~c_and @ $false @ $false))))|c_and @ $true @ $true)&(((((~X4 @ X6|~c_not @ $true)&(X4 @ X6|~c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|c_and @ $true @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|c_and @ $true @ $false)))&(((~X4 @ X6|c_not @ $true)&(X4 @ X6|c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|c_and @ $false @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|c_and @ $false @ $false))))|c_and @ $true @ $false)))&(c_Subq @ X6 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|((((((~X4 @ X6|~c_not @ $true)&(X4 @ X6|~c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|~c_and @ $true @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|~c_and @ $true @ $false)))&(((~X4 @ X6|c_not @ $true)&(X4 @ X6|c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|~c_and @ $false @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|~c_and @ $false @ $false))))|c_and @ $false @ $true)&(((((~X4 @ X6|~c_not @ $true)&(X4 @ X6|~c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|c_and @ $true @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|c_and @ $true @ $false)))&(((~X4 @ X6|c_not @ $true)&(X4 @ X6|c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|c_and @ $false @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|c_and @ $false @ $false))))|c_and @ $false @ $false))))=>((~X4 @ X5|c_not @ $true)&(X4 @ X5|c_not @ $false))))))|c_not @ $true)), introduced(definition)).
1.38/1.54	thf(c_0_13, plain, ![X4:$i > $o]:(epred18_1 @ X4<=>?[X6:$i]:((~c_Subq @ X6 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|((((((~X4 @ X6|~c_not @ $true)&(X4 @ X6|~c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|~c_and @ $true @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|~c_and @ $true @ $false)))&(((~X4 @ X6|c_not @ $true)&(X4 @ X6|c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|~c_and @ $false @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|~c_and @ $false @ $false))))|c_and @ $true @ $true)&(((((~X4 @ X6|~c_not @ $true)&(X4 @ X6|~c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|c_and @ $true @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|c_and @ $true @ $false)))&(((~X4 @ X6|c_not @ $true)&(X4 @ X6|c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|c_and @ $false @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|c_and @ $false @ $false))))|c_and @ $true @ $false)))&(c_Subq @ X6 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|((((((~X4 @ X6|~c_not @ $true)&(X4 @ X6|~c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|~c_and @ $true @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|~c_and @ $true @ $false)))&(((~X4 @ X6|c_not @ $true)&(X4 @ X6|c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|~c_and @ $false @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|~c_and @ $false @ $false))))|c_and @ $false @ $true)&(((((~X4 @ X6|~c_not @ $true)&(X4 @ X6|~c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|c_and @ $true @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|c_and @ $true @ $false)))&(((~X4 @ X6|c_not @ $true)&(X4 @ X6|c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|c_and @ $false @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|c_and @ $false @ $false))))|c_and @ $false @ $false))))), introduced(definition)).
1.38/1.54	thf(c_0_14, negated_conjecture, ~((epred17_0&(![X4:$i > $o, X2:$i > $i, X3:$i]:(c_In @ X3 @ (X2 @ (X2 @ (X2 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ esk3_1) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))=>![X5:$i]:(c_Subq @ X5 @ X3=>(epred18_1 @ X4=>((~X4 @ X5|c_not @ $true)&(X4 @ X5|c_not @ $false)))))|c_not @ $false))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]), c_0_11])]), c_0_12]), c_0_13])).
1.38/1.54	thf(c_0_15, plain, ![X141:$o]:(c_not @ X141<=>(X141=>c_False)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])])).
1.38/1.54	thf(c_0_16, plain, ![X4:$i > $o, X6:$i]:(epred13_2 @ X6 @ X4<=>(((~X4 @ X6|~c_not @ $true)&(X4 @ X6|~c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|~c_and @ $true @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|~c_and @ $true @ $false)))), introduced(definition)).
1.38/1.54	thf(c_0_17, plain, ![X4:$i > $o, X6:$i]:(epred14_2 @ X6 @ X4<=>(((~X4 @ X6|c_not @ $true)&(X4 @ X6|c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|~c_and @ $false @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|~c_and @ $false @ $false)))), introduced(definition)).
1.38/1.54	thf(c_0_18, plain, ![X4:$i > $o, X6:$i]:(epred15_2 @ X6 @ X4<=>(((~X4 @ X6|~c_not @ $true)&(X4 @ X6|~c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|c_and @ $true @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|c_and @ $true @ $false)))), introduced(definition)).
1.38/1.54	thf(c_0_19, plain, ![X4:$i > $o, X6:$i]:(epred16_2 @ X6 @ X4<=>(((~X4 @ X6|c_not @ $true)&(X4 @ X6|c_not @ $false))|((((~c_exactly5 @ c_Empty|~c_not @ $true)&(c_exactly5 @ c_Empty|~c_not @ $false))|c_and @ $false @ $true)&(((~c_exactly5 @ c_Empty|c_not @ $true)&(c_exactly5 @ c_Empty|c_not @ $false))|c_and @ $false @ $false)))), introduced(definition)).
1.38/1.54	thf(c_0_20, plain, ((~(![X4:$i > $o, X2:$i > $i, X3:$i]:(c_In @ X3 @ (X2 @ (X2 @ (X2 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ esk3_1) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))=>![X5:$i]:(c_Subq @ X5 @ X3=>(epred18_1 @ X4=>((~X4 @ X5|c_not @ $true)&(X4 @ X5|c_not @ $false))))))|c_not @ $true)=>epred17_0), inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_12]), c_0_13])).
1.38/1.54	thf(c_0_21, negated_conjecture, (((c_In @ esk19_0 @ (esk18_0 @ (esk18_0 @ (esk18_0 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ esk3_1) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))|~epred17_0)&((c_Subq @ esk20_0 @ esk19_0|~epred17_0)&((epred18_1 @ epred183_0|~epred17_0)&(((~epred183_0 @ esk20_0|epred183_0 @ esk20_0|~epred17_0)&(~c_not @ $false|epred183_0 @ esk20_0|~epred17_0))&((~epred183_0 @ esk20_0|~c_not @ $true|~epred17_0)&(~c_not @ $false|~c_not @ $true|~epred17_0))))))&(~c_not @ $false|~epred17_0)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])).
1.38/1.54	thf(c_0_22, plain, ![X627:$o]:((~c_not @ X627|(~X627|c_False))&((X627|c_not @ X627)&(~c_False|c_not @ X627))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
1.38/1.54	thf(c_0_23, axiom, ![X1:$i, X25:$i]:((~c_In @ X25 @ (c_Power @ X1)|((~c_Subq @ X25 @ X1|c_iff @ $true @ $true)&(c_Subq @ X25 @ X1|c_iff @ $true @ $false)))&(c_In @ X25 @ (c_Power @ X1)|((~c_Subq @ X25 @ X1|c_iff @ $false @ $true)&(c_Subq @ X25 @ X1|c_iff @ $false @ $false)))), inference(fool_unroll,[status(thm)],[ax7])).
1.38/1.54	thf(c_0_24, axiom, ![X129:$o, X130:$o]:(((~X129|((~X130|c_iff @ $true @ $true)&(X130|c_iff @ $true @ $false)))&(X129|((~X130|c_iff @ $false @ $true)&(X130|c_iff @ $false @ $false))))=>(X129<=>X130)), inference(fool_unroll,[status(thm)],[ax3])).
1.38/1.54	thf(c_0_25, plain, ![X4:$i > $o]:(epred18_1 @ X4<=>?[X6:$i]:((~c_Subq @ X6 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|(((epred13_2 @ X6 @ X4&epred14_2 @ X6 @ X4)|c_and @ $true @ $true)&((epred15_2 @ X6 @ X4&epred16_2 @ X6 @ X4)|c_and @ $true @ $false)))&(c_Subq @ X6 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|(((epred13_2 @ X6 @ X4&epred14_2 @ X6 @ X4)|c_and @ $false @ $true)&((epred15_2 @ X6 @ X4&epred16_2 @ X6 @ X4)|c_and @ $false @ $false))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_13, c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_16]), c_0_17]), c_0_18]), c_0_19])).
1.38/1.54	thf(c_0_26, plain, ![X1:$i, X159:$i]:(c_binrep @ X1 @ X159)=(c_setsum @ X1 @ (c_Power @ X159)), inference(fof_simplification,[status(thm)],[ax76])).
1.38/1.54	thf(c_0_27, plain, ![X132:$o, X133:$o]:(c_and @ X132 @ X133<=>![X323:$o]:((X132=>(X133=>X323))=>X323)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])])).
1.38/1.54	thf(c_0_28, axiom, ((~(?[X1:$i]:c_In @ X1 @ c_Empty)|c_not @ $true)&(?[X1:$i]:c_In @ X1 @ c_Empty|c_not @ $false)), inference(fool_unroll,[status(thm)],[ax5])).
1.38/1.54	thf(c_0_29, plain, ![X819:$i > $o, X820:$i > $i, X821:$i, X822:$i]:(((~X819 @ X822|c_not @ $true|~epred18_1 @ X819|~c_Subq @ X822 @ X821|~c_In @ X821 @ (X820 @ (X820 @ (X820 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ esk3_1) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))|epred17_0)&(X819 @ X822|c_not @ $false|~epred18_1 @ X819|~c_Subq @ X822 @ X821|~c_In @ X821 @ (X820 @ (X820 @ (X820 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ esk3_1) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))|epred17_0))&(~c_not @ $true|epred17_0)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])).
1.38/1.54	thf(c_0_30, negated_conjecture, (~c_not @ $false|~epred17_0), inference(split_conjunct,[status(thm)],[c_0_21])).
1.38/1.54	thf(c_0_31, plain, c_not @ $false, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_22])])])).
1.38/1.54	thf(c_0_32, plain, ![X407:$i, X408:$i]:(((~c_Subq @ X408 @ X407|c_iff @ $true @ $true|~c_In @ X408 @ (c_Power @ X407))&(c_Subq @ X408 @ X407|c_iff @ $true @ $false|~c_In @ X408 @ (c_Power @ X407)))&((~c_Subq @ X408 @ X407|c_iff @ $false @ $true|c_In @ X408 @ (c_Power @ X407))&(c_Subq @ X408 @ X407|c_iff @ $false @ $false|c_In @ X408 @ (c_Power @ X407)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_23])])).
1.38/1.54	thf(c_0_33, plain, ![X613:$o, X614:$o]:((((~X613|X614|(~X613|X613))&(~X614|X613|(~X613|X613)))&((((~X613|X614|(~X614|X614|X613))&(~X614|X613|(~X614|X614|X613)))&((~X613|X614|(~c_iff @ $false @ $false|X614|X613))&(~X614|X613|(~c_iff @ $false @ $false|X614|X613))))&(((~X613|X614|(~X614|~c_iff @ $false @ $true|X613))&(~X614|X613|(~X614|~c_iff @ $false @ $true|X613)))&((~X613|X614|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|X613))&(~X614|X613|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|X613))))))&(((((~X613|X614|(~X613|(~X614|X614)))&(~X614|X613|(~X613|(~X614|X614))))&((((~X613|X614|(~X614|X614|(~X614|X614)))&(~X614|X613|(~X614|X614|(~X614|X614))))&((~X613|X614|(~c_iff @ $false @ $false|X614|(~X614|X614)))&(~X614|X613|(~c_iff @ $false @ $false|X614|(~X614|X614)))))&(((~X613|X614|(~X614|~c_iff @ $false @ $true|(~X614|X614)))&(~X614|X613|(~X614|~c_iff @ $false @ $true|(~X614|X614))))&((~X613|X614|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X614|X614)))&(~X614|X613|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X614|X614)))))))&(((~X613|X614|(~X613|(~c_iff @ $true @ $false|X614)))&(~X614|X613|(~X613|(~c_iff @ $true @ $false|X614))))&((((~X613|X614|(~X614|X614|(~c_iff @ $true @ $false|X614)))&(~X614|X613|(~X614|X614|(~c_iff @ $true @ $false|X614))))&((~X613|X614|(~c_iff @ $false @ $false|X614|(~c_iff @ $true @ $false|X614)))&(~X614|X613|(~c_iff @ $false @ $false|X614|(~c_iff @ $true @ $false|X614)))))&(((~X613|X614|(~X614|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X614)))&(~X614|X613|(~X614|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X614))))&((~X613|X614|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X614)))&(~X614|X613|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X614))))))))&((((~X613|X614|(~X613|(~X614|~c_iff @ $true @ $true)))&(~X614|X613|(~X613|(~X614|~c_iff @ $true @ $true))))&((((~X613|X614|(~X614|X614|(~X614|~c_iff @ $true @ $true)))&(~X614|X613|(~X614|X614|(~X614|~c_iff @ $true @ $true))))&((~X613|X614|(~c_iff @ $false @ $false|X614|(~X614|~c_iff @ $true @ $true)))&(~X614|X613|(~c_iff @ $false @ $false|X614|(~X614|~c_iff @ $true @ $true)))))&(((~X613|X614|(~X614|~c_iff @ $false @ $true|(~X614|~c_iff @ $true @ $true)))&(~X614|X613|(~X614|~c_iff @ $false @ $true|(~X614|~c_iff @ $true @ $true))))&((~X613|X614|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X614|~c_iff @ $true @ $true)))&(~X614|X613|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X614|~c_iff @ $true @ $true)))))))&(((~X613|X614|(~X613|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X614|X613|(~X613|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((((~X613|X614|(~X614|X614|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X614|X613|(~X614|X614|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((~X613|X614|(~c_iff @ $false @ $false|X614|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X614|X613|(~c_iff @ $false @ $false|X614|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))))&(((~X613|X614|(~X614|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X614|X613|(~X614|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((~X613|X614|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X614|X613|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
1.38/1.54	thf(c_0_34, plain, ![X1:$i, X177:$i]:(c_Subq @ X1 @ X177<=>![X353:$i]:(c_In @ X353 @ X1=>c_In @ X353 @ X177)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax17])])).
1.38/1.54	thf(c_0_35, plain, ![X823:$i > $o, X825:$i > $o, X826:$i]:(((((epred13_2 @ (esk66_1 @ X823) @ X823|c_and @ $true @ $true|~c_Subq @ (esk66_1 @ X823) @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|~epred18_1 @ X823)&(epred14_2 @ (esk66_1 @ X823) @ X823|c_and @ $true @ $true|~c_Subq @ (esk66_1 @ X823) @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|~epred18_1 @ X823))&((epred15_2 @ (esk66_1 @ X823) @ X823|c_and @ $true @ $false|~c_Subq @ (esk66_1 @ X823) @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|~epred18_1 @ X823)&(epred16_2 @ (esk66_1 @ X823) @ X823|c_and @ $true @ $false|~c_Subq @ (esk66_1 @ X823) @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|~epred18_1 @ X823)))&(((epred13_2 @ (esk66_1 @ X823) @ X823|c_and @ $false @ $true|c_Subq @ (esk66_1 @ X823) @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|~epred18_1 @ X823)&(epred14_2 @ (esk66_1 @ X823) @ X823|c_and @ $false @ $true|c_Subq @ (esk66_1 @ X823) @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|~epred18_1 @ X823))&((epred15_2 @ (esk66_1 @ X823) @ X823|c_and @ $false @ $false|c_Subq @ (esk66_1 @ X823) @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|~epred18_1 @ X823)&(epred16_2 @ (esk66_1 @ X823) @ X823|c_and @ $false @ $false|c_Subq @ (esk66_1 @ X823) @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|~epred18_1 @ X823))))&(((~c_Subq @ X826 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|c_Subq @ X826 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|epred18_1 @ X825)&(((~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825)|c_Subq @ X826 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|epred18_1 @ X825)&(~c_and @ $false @ $false|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825)|c_Subq @ X826 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|epred18_1 @ X825))&((~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|~c_and @ $false @ $true|c_Subq @ X826 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|epred18_1 @ X825)&(~c_and @ $false @ $false|~c_and @ $false @ $true|c_Subq @ X826 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|epred18_1 @ X825))))&((((~c_Subq @ X826 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|(~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825))|epred18_1 @ X825)&(((~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825)|(~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825))|epred18_1 @ X825)&(~c_and @ $false @ $false|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825)|(~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825))|epred18_1 @ X825))&((~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|~c_and @ $false @ $true|(~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825))|epred18_1 @ X825)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825))|epred18_1 @ X825))))&((~c_Subq @ X826 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|(~c_and @ $true @ $false|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825))|epred18_1 @ X825)&(((~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825)|(~c_and @ $true @ $false|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825))|epred18_1 @ X825)&(~c_and @ $false @ $false|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825)|(~c_and @ $true @ $false|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825))|epred18_1 @ X825))&((~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|~c_and @ $false @ $true|(~c_and @ $true @ $false|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825))|epred18_1 @ X825)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_and @ $true @ $false|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825))|epred18_1 @ X825)))))&(((~c_Subq @ X826 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|(~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|~c_and @ $true @ $true)|epred18_1 @ X825)&(((~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825)|(~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|~c_and @ $true @ $true)|epred18_1 @ X825)&(~c_and @ $false @ $false|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825)|(~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|~c_and @ $true @ $true)|epred18_1 @ X825))&((~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|~c_and @ $false @ $true|(~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|~c_and @ $true @ $true)|epred18_1 @ X825)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|~c_and @ $true @ $true)|epred18_1 @ X825))))&((~c_Subq @ X826 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred18_1 @ X825)&(((~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825)|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred18_1 @ X825)&(~c_and @ $false @ $false|(~epred13_2 @ X826 @ X825|~epred14_2 @ X826 @ X825)|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred18_1 @ X825))&((~epred15_2 @ X826 @ X825|~epred16_2 @ X826 @ X825|~c_and @ $false @ $true|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred18_1 @ X825)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred18_1 @ X825)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])])])).
1.38/1.54	thf(c_0_36, plain, ![X663:$i, X664:$i]:(c_binrep @ X663 @ X664)=(c_setsum @ X663 @ (c_Power @ X664)), inference(variable_rename,[status(thm)],[c_0_26])).
1.38/1.54	thf(c_0_37, plain, ![X616:$o, X617:$o, X618:$o, X619:$o, X620:$o]:(((X616|X618|~c_and @ X616 @ X617)&((X617|X618|~c_and @ X616 @ X617)&(~X618|X618|~c_and @ X616 @ X617)))&((~X619|(~X620|epred190_2 @ X619 @ X620)|c_and @ X619 @ X620)&(~epred190_2 @ X619 @ X620|c_and @ X619 @ X620))), 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_27])])])])])])).
1.38/1.54	thf(c_0_38, plain, ![X409:$i]:((~c_In @ X409 @ c_Empty|c_not @ $true)&(c_In @ esk23_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_28])])])])).
1.38/1.54	thf(c_0_39, plain, (epred17_0|~c_not @ $true), inference(split_conjunct,[status(thm)],[c_0_29])).
1.38/1.54	thf(c_0_40, negated_conjecture, ~epred17_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
1.38/1.54	thf(c_0_41, plain, ![X1:$i]:(epred156_1 @ X1<=>?[X352:$i]:((~c_Subq @ X352 @ X1|((((((~c_Subq @ X1 @ X352|~c_not @ $true)&(c_Subq @ X1 @ X352|~c_not @ $false))|((~c_atleast4 @ X352|~c_and @ $true @ $true)&(c_atleast4 @ X352|~c_and @ $true @ $false)))&(((~c_Subq @ X1 @ X352|c_not @ $true)&(c_Subq @ X1 @ X352|c_not @ $false))|((~c_atleast4 @ X352|~c_and @ $false @ $true)&(c_atleast4 @ X352|~c_and @ $false @ $false))))|c_and @ $true @ $true)&(((((~c_Subq @ X1 @ X352|~c_not @ $true)&(c_Subq @ X1 @ X352|~c_not @ $false))|((~c_atleast4 @ X352|c_and @ $true @ $true)&(c_atleast4 @ X352|c_and @ $true @ $false)))&(((~c_Subq @ X1 @ X352|c_not @ $true)&(c_Subq @ X1 @ X352|c_not @ $false))|((~c_atleast4 @ X352|c_and @ $false @ $true)&(c_atleast4 @ X352|c_and @ $false @ $false))))|c_and @ $true @ $false)))&(c_Subq @ X352 @ X1|((((((~c_Subq @ X1 @ X352|~c_not @ $true)&(c_Subq @ X1 @ X352|~c_not @ $false))|((~c_atleast4 @ X352|~c_and @ $true @ $true)&(c_atleast4 @ X352|~c_and @ $true @ $false)))&(((~c_Subq @ X1 @ X352|c_not @ $true)&(c_Subq @ X1 @ X352|c_not @ $false))|((~c_atleast4 @ X352|~c_and @ $false @ $true)&(c_atleast4 @ X352|~c_and @ $false @ $false))))|c_and @ $false @ $true)&(((((~c_Subq @ X1 @ X352|~c_not @ $true)&(c_Subq @ X1 @ X352|~c_not @ $false))|((~c_atleast4 @ X352|c_and @ $true @ $true)&(c_atleast4 @ X352|c_and @ $true @ $false)))&(((~c_Subq @ X1 @ X352|c_not @ $true)&(c_Subq @ X1 @ X352|c_not @ $false))|((~c_atleast4 @ X352|c_and @ $false @ $true)&(c_atleast4 @ X352|c_and @ $false @ $false))))|c_and @ $false @ $false))))), introduced(definition)).
1.38/1.54	thf(c_0_42, plain, ![X1:$i, X352:$i]:(epred154_2 @ X352 @ X1<=>((((~c_Subq @ X1 @ X352|~c_not @ $true)&(c_Subq @ X1 @ X352|~c_not @ $false))|((~c_atleast4 @ X352|~c_and @ $true @ $true)&(c_atleast4 @ X352|~c_and @ $true @ $false)))&(((~c_Subq @ X1 @ X352|c_not @ $true)&(c_Subq @ X1 @ X352|c_not @ $false))|((~c_atleast4 @ X352|~c_and @ $false @ $true)&(c_atleast4 @ X352|~c_and @ $false @ $false))))), introduced(definition)).
1.38/1.54	thf(c_0_43, plain, ![X1:$i, X352:$i]:(epred155_2 @ X352 @ X1<=>((((~c_Subq @ X1 @ X352|~c_not @ $true)&(c_Subq @ X1 @ X352|~c_not @ $false))|((~c_atleast4 @ X352|c_and @ $true @ $true)&(c_atleast4 @ X352|c_and @ $true @ $false)))&(((~c_Subq @ X1 @ X352|c_not @ $true)&(c_Subq @ X1 @ X352|c_not @ $false))|((~c_atleast4 @ X352|c_and @ $false @ $true)&(c_atleast4 @ X352|c_and @ $false @ $false))))), introduced(definition)).
1.38/1.54	thf(c_0_44, plain, ![X225:$i, X22:$i]:(esk5_2 @ X22 @ X225)=(X22), introduced(definition)).
1.38/1.54	thf(c_0_45, plain, ![X414:$i > $o, X415:$i]:(~X414 @ X415|X414 @ (c_Eps_i @ X414)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])])).
1.38/1.54	thf(c_0_46, plain, ![X1:$i, X3:$i]:(c_iff @ $false @ $true|c_In @ X1 @ (c_Power @ X3)|~c_Subq @ X1 @ X3), inference(split_conjunct,[status(thm)],[c_0_32])).
1.38/1.54	thf(c_0_47, plain, ~c_iff @ $false @ $true, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_33])])])).
1.38/1.54	thf(c_0_48, plain, ![X696:$i, X697:$i, X698:$i, X699:$i, X700:$i]:((~c_Subq @ X696 @ X697|(~c_In @ X698 @ X696|c_In @ X698 @ X697))&((c_In @ (esk58_2 @ X699 @ X700) @ X699|c_Subq @ X699 @ X700)&(~c_In @ (esk58_2 @ X699 @ X700) @ X700|c_Subq @ X699 @ X700))), 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_34])])])])])])).
1.38/1.54	thf(c_0_49, plain, ![X1:$i, X4:$i > $o]:(epred18_1 @ X4|~c_Subq @ X1 @ (c_binrep @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ c_Empty)) @ c_Empty)|~epred15_2 @ X1 @ X4|~epred16_2 @ X1 @ X4|~c_and @ $true @ $true), inference(split_conjunct,[status(thm)],[c_0_35])).
1.38/1.54	thf(c_0_50, plain, ![X1:$i, X3:$i]:(c_binrep @ X1 @ X3)=(c_setsum @ X1 @ (c_Power @ X3)), inference(split_conjunct,[status(thm)],[c_0_36])).
1.38/1.54	thf(c_0_51, plain, ![X14:$o, X15:$o]:(c_and @ X14 @ X15|~epred190_2 @ X14 @ X15), inference(split_conjunct,[status(thm)],[c_0_37])).
1.38/1.54	thf(c_0_52, plain, (epred190_2 @ $true @ $true|c_and @ $true @ $true), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_37])])])).
1.38/1.54	thf(c_0_53, plain, ![X1:$i]:(c_not @ $true|~c_In @ X1 @ c_Empty), inference(split_conjunct,[status(thm)],[c_0_38])).
1.38/1.54	thf(c_0_54, plain, ~c_not @ $true, inference(sr,[status(thm)],[c_0_39, c_0_40])).
1.38/1.54	thf(c_0_55, plain, ![X1:$i]:(epred156_1 @ X1<=>?[X352:$i]:((~c_Subq @ X352 @ X1|((epred154_2 @ X352 @ X1|c_and @ $true @ $true)&(epred155_2 @ X352 @ X1|c_and @ $true @ $false)))&(c_Subq @ X352 @ X1|((epred154_2 @ X352 @ X1|c_and @ $false @ $true)&(epred155_2 @ X352 @ X1|c_and @ $false @ $false))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_41, c_0_42]), c_0_43]), c_0_42]), c_0_43])).
1.38/1.54	thf(c_0_56, plain, ![X1:$i, X4:$i > $o, X3:$i, X2:$i > $i]:(c_not @ $true|epred17_0|~X4 @ X1|~epred18_1 @ X4|~c_Subq @ X1 @ X3|~c_In @ X3 @ (X2 @ (X2 @ (X2 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ esk3_1) @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))))))), inference(split_conjunct,[status(thm)],[c_0_29])).
1.38/1.54	thf(c_0_57, plain, ![X739:$i, X740:$i]:(esk5_2 @ X740 @ X739)=(X740), inference(variable_rename,[status(thm)],[c_0_44])).
1.38/1.54	thf(c_0_58, plain, ![X4:$i > $o, X1:$i]:(X4 @ (c_Eps_i @ X4)|~X4 @ X1), inference(split_conjunct,[status(thm)],[c_0_45])).
1.38/1.54	thf(c_0_59, plain, ![X1:$i, X3:$i]:(c_In @ X1 @ (c_Power @ X3)|~c_Subq @ X1 @ X3), inference(sr,[status(thm)],[c_0_46, c_0_47])).
1.38/1.54	thf(c_0_60, plain, ![X1:$i, X3:$i]:(c_Subq @ X1 @ X3|~c_In @ (esk58_2 @ X1 @ X3) @ X3), inference(split_conjunct,[status(thm)],[c_0_48])).
1.38/1.54	thf(c_0_61, plain, ![X1:$i, X3:$i]:(c_In @ (esk58_2 @ X1 @ X3) @ X1|c_Subq @ X1 @ X3), inference(split_conjunct,[status(thm)],[c_0_48])).
1.38/1.54	thf(c_0_62, plain, ![X1:$i, X4:$i > $o]:(epred18_1 @ X4|~c_Subq @ X1 @ (c_setsum @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))|~c_and @ $true @ $true|~epred15_2 @ X1 @ X4|~epred16_2 @ X1 @ X4), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_50]), c_0_50])).
1.38/1.54	thf(c_0_63, plain, c_and @ $true @ $true, inference(spm,[status(thm)],[c_0_51, c_0_52])).
1.38/1.54	thf(c_0_64, plain, ![X1:$i]:~c_In @ X1 @ c_Empty, inference(sr,[status(thm)],[c_0_53, c_0_54])).
1.38/1.54	thf(c_0_65, plain, ![X817:$i > $o, X818:$i]:(((((~c_exactly5 @ c_Empty|~c_not @ $true|c_and @ $false @ $true|(~X817 @ X818|c_not @ $true)|~epred16_2 @ X818 @ X817)&(c_exactly5 @ c_Empty|~c_not @ $false|c_and @ $false @ $true|(~X817 @ X818|c_not @ $true)|~epred16_2 @ X818 @ X817))&((~c_exactly5 @ c_Empty|c_not @ $true|c_and @ $false @ $false|(~X817 @ X818|c_not @ $true)|~epred16_2 @ X818 @ X817)&(c_exactly5 @ c_Empty|c_not @ $false|c_and @ $false @ $false|(~X817 @ X818|c_not @ $true)|~epred16_2 @ X818 @ X817)))&(((~c_exactly5 @ c_Empty|~c_not @ $true|c_and @ $false @ $true|(X817 @ X818|c_not @ $false)|~epred16_2 @ X818 @ X817)&(c_exactly5 @ c_Empty|~c_not @ $false|c_and @ $false @ $true|(X817 @ X818|c_not @ $false)|~epred16_2 @ X818 @ X817))&((~c_exactly5 @ c_Empty|c_not @ $true|c_and @ $false @ $false|(X817 @ X818|c_not @ $false)|~epred16_2 @ X818 @ X817)&(c_exactly5 @ c_Empty|c_not @ $false|c_and @ $false @ $false|(X817 @ X818|c_not @ $false)|~epred16_2 @ X818 @ X817))))&((((~X817 @ X818|X817 @ X818|epred16_2 @ X818 @ X817)&(~c_not @ $false|X817 @ X818|epred16_2 @ X818 @ X817))&((~X817 @ X818|~c_not @ $true|epred16_2 @ X818 @ X817)&(~c_not @ $false|~c_not @ $true|epred16_2 @ X818 @ X817)))&(((((((~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty|(~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty)|epred16_2 @ X818 @ X817)&(~c_not @ $false|c_exactly5 @ c_Empty|(~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty)|epred16_2 @ X818 @ X817))&((~c_exactly5 @ c_Empty|~c_not @ $true|(~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty)|epred16_2 @ X818 @ X817)&(~c_not @ $false|~c_not @ $true|(~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty)|epred16_2 @ X818 @ X817)))&(~c_and @ $false @ $false|(~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty)|epred16_2 @ X818 @ X817))&((((~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty|(c_not @ $false|c_exactly5 @ c_Empty)|epred16_2 @ X818 @ X817)&(~c_not @ $false|c_exactly5 @ c_Empty|(c_not @ $false|c_exactly5 @ c_Empty)|epred16_2 @ X818 @ X817))&((~c_exactly5 @ c_Empty|~c_not @ $true|(c_not @ $false|c_exactly5 @ c_Empty)|epred16_2 @ X818 @ X817)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_exactly5 @ c_Empty)|epred16_2 @ X818 @ X817)))&(~c_and @ $false @ $false|(c_not @ $false|c_exactly5 @ c_Empty)|epred16_2 @ X818 @ X817)))&(((((~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty|(~c_exactly5 @ c_Empty|c_not @ $true)|epred16_2 @ X818 @ X817)&(~c_not @ $false|c_exactly5 @ c_Empty|(~c_exactly5 @ c_Empty|c_not @ $true)|epred16_2 @ X818 @ X817))&((~c_exactly5 @ c_Empty|~c_not @ $true|(~c_exactly5 @ c_Empty|c_not @ $true)|epred16_2 @ X818 @ X817)&(~c_not @ $false|~c_not @ $true|(~c_exactly5 @ c_Empty|c_not @ $true)|epred16_2 @ X818 @ X817)))&(~c_and @ $false @ $false|(~c_exactly5 @ c_Empty|c_not @ $true)|epred16_2 @ X818 @ X817))&((((~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty|(c_not @ $false|c_not @ $true)|epred16_2 @ X818 @ X817)&(~c_not @ $false|c_exactly5 @ c_Empty|(c_not @ $false|c_not @ $true)|epred16_2 @ X818 @ X817))&((~c_exactly5 @ c_Empty|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred16_2 @ X818 @ X817)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred16_2 @ X818 @ X817)))&(~c_and @ $false @ $false|(c_not @ $false|c_not @ $true)|epred16_2 @ X818 @ X817))))&((((~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty|~c_and @ $false @ $true|epred16_2 @ X818 @ X817)&(~c_not @ $false|c_exactly5 @ c_Empty|~c_and @ $false @ $true|epred16_2 @ X818 @ X817))&((~c_exactly5 @ c_Empty|~c_not @ $true|~c_and @ $false @ $true|epred16_2 @ X818 @ X817)&(~c_not @ $false|~c_not @ $true|~c_and @ $false @ $true|epred16_2 @ X818 @ X817)))&(~c_and @ $false @ $false|~c_and @ $false @ $true|epred16_2 @ X818 @ X817))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
1.38/1.54	thf(c_0_66, plain, ![X815:$i > $o, X816:$i]:(((((~c_exactly5 @ c_Empty|~c_not @ $true|c_and @ $true @ $true|(~X815 @ X816|~c_not @ $true)|~epred15_2 @ X816 @ X815)&(c_exactly5 @ c_Empty|~c_not @ $false|c_and @ $true @ $true|(~X815 @ X816|~c_not @ $true)|~epred15_2 @ X816 @ X815))&((~c_exactly5 @ c_Empty|c_not @ $true|c_and @ $true @ $false|(~X815 @ X816|~c_not @ $true)|~epred15_2 @ X816 @ X815)&(c_exactly5 @ c_Empty|c_not @ $false|c_and @ $true @ $false|(~X815 @ X816|~c_not @ $true)|~epred15_2 @ X816 @ X815)))&(((~c_exactly5 @ c_Empty|~c_not @ $true|c_and @ $true @ $true|(X815 @ X816|~c_not @ $false)|~epred15_2 @ X816 @ X815)&(c_exactly5 @ c_Empty|~c_not @ $false|c_and @ $true @ $true|(X815 @ X816|~c_not @ $false)|~epred15_2 @ X816 @ X815))&((~c_exactly5 @ c_Empty|c_not @ $true|c_and @ $true @ $false|(X815 @ X816|~c_not @ $false)|~epred15_2 @ X816 @ X815)&(c_exactly5 @ c_Empty|c_not @ $false|c_and @ $true @ $false|(X815 @ X816|~c_not @ $false)|~epred15_2 @ X816 @ X815))))&((((~X815 @ X816|X815 @ X816|epred15_2 @ X816 @ X815)&(c_not @ $false|X815 @ X816|epred15_2 @ X816 @ X815))&((~X815 @ X816|c_not @ $true|epred15_2 @ X816 @ X815)&(c_not @ $false|c_not @ $true|epred15_2 @ X816 @ X815)))&(((((((~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty|(~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty)|epred15_2 @ X816 @ X815)&(~c_not @ $false|c_exactly5 @ c_Empty|(~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty)|epred15_2 @ X816 @ X815))&((~c_exactly5 @ c_Empty|~c_not @ $true|(~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty)|epred15_2 @ X816 @ X815)&(~c_not @ $false|~c_not @ $true|(~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty)|epred15_2 @ X816 @ X815)))&(~c_and @ $true @ $false|(~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty)|epred15_2 @ X816 @ X815))&((((~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty|(c_not @ $false|c_exactly5 @ c_Empty)|epred15_2 @ X816 @ X815)&(~c_not @ $false|c_exactly5 @ c_Empty|(c_not @ $false|c_exactly5 @ c_Empty)|epred15_2 @ X816 @ X815))&((~c_exactly5 @ c_Empty|~c_not @ $true|(c_not @ $false|c_exactly5 @ c_Empty)|epred15_2 @ X816 @ X815)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_exactly5 @ c_Empty)|epred15_2 @ X816 @ X815)))&(~c_and @ $true @ $false|(c_not @ $false|c_exactly5 @ c_Empty)|epred15_2 @ X816 @ X815)))&(((((~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty|(~c_exactly5 @ c_Empty|c_not @ $true)|epred15_2 @ X816 @ X815)&(~c_not @ $false|c_exactly5 @ c_Empty|(~c_exactly5 @ c_Empty|c_not @ $true)|epred15_2 @ X816 @ X815))&((~c_exactly5 @ c_Empty|~c_not @ $true|(~c_exactly5 @ c_Empty|c_not @ $true)|epred15_2 @ X816 @ X815)&(~c_not @ $false|~c_not @ $true|(~c_exactly5 @ c_Empty|c_not @ $true)|epred15_2 @ X816 @ X815)))&(~c_and @ $true @ $false|(~c_exactly5 @ c_Empty|c_not @ $true)|epred15_2 @ X816 @ X815))&((((~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty|(c_not @ $false|c_not @ $true)|epred15_2 @ X816 @ X815)&(~c_not @ $false|c_exactly5 @ c_Empty|(c_not @ $false|c_not @ $true)|epred15_2 @ X816 @ X815))&((~c_exactly5 @ c_Empty|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred15_2 @ X816 @ X815)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred15_2 @ X816 @ X815)))&(~c_and @ $true @ $false|(c_not @ $false|c_not @ $true)|epred15_2 @ X816 @ X815))))&((((~c_exactly5 @ c_Empty|c_exactly5 @ c_Empty|~c_and @ $true @ $true|epred15_2 @ X816 @ X815)&(~c_not @ $false|c_exactly5 @ c_Empty|~c_and @ $true @ $true|epred15_2 @ X816 @ X815))&((~c_exactly5 @ c_Empty|~c_not @ $true|~c_and @ $true @ $true|epred15_2 @ X816 @ X815)&(~c_not @ $false|~c_not @ $true|~c_and @ $true @ $true|epred15_2 @ X816 @ X815)))&(~c_and @ $true @ $false|~c_and @ $true @ $true|epred15_2 @ X816 @ X815))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
1.38/1.54	thf(c_0_67, plain, ![X1614:$i, X1615:$i]:(((((~c_atleast4 @ X1615|c_and @ $true @ $true|(~c_Subq @ X1614 @ X1615|~c_not @ $true)|~epred155_2 @ X1615 @ X1614)&(c_atleast4 @ X1615|c_and @ $true @ $false|(~c_Subq @ X1614 @ X1615|~c_not @ $true)|~epred155_2 @ X1615 @ X1614))&((~c_atleast4 @ X1615|c_and @ $true @ $true|(c_Subq @ X1614 @ X1615|~c_not @ $false)|~epred155_2 @ X1615 @ X1614)&(c_atleast4 @ X1615|c_and @ $true @ $false|(c_Subq @ X1614 @ X1615|~c_not @ $false)|~epred155_2 @ X1615 @ X1614)))&(((~c_atleast4 @ X1615|c_and @ $false @ $true|(~c_Subq @ X1614 @ X1615|c_not @ $true)|~epred155_2 @ X1615 @ X1614)&(c_atleast4 @ X1615|c_and @ $false @ $false|(~c_Subq @ X1614 @ X1615|c_not @ $true)|~epred155_2 @ X1615 @ X1614))&((~c_atleast4 @ X1615|c_and @ $false @ $true|(c_Subq @ X1614 @ X1615|c_not @ $false)|~epred155_2 @ X1615 @ X1614)&(c_atleast4 @ X1615|c_and @ $false @ $false|(c_Subq @ X1614 @ X1615|c_not @ $false)|~epred155_2 @ X1615 @ X1614))))&(((((((~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615|(~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|c_Subq @ X1614 @ X1615|(~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614))&((~c_Subq @ X1614 @ X1615|~c_not @ $true|(~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|~c_not @ $true|(~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614)))&(((~c_atleast4 @ X1615|c_atleast4 @ X1615|(~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|c_atleast4 @ X1615|(~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614))&((~c_atleast4 @ X1615|~c_and @ $false @ $true|(~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614))))&((((~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615|(c_not @ $false|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|c_Subq @ X1614 @ X1615|(c_not @ $false|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614))&((~c_Subq @ X1614 @ X1615|~c_not @ $true|(c_not @ $false|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614)))&(((~c_atleast4 @ X1615|c_atleast4 @ X1615|(c_not @ $false|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|c_atleast4 @ X1615|(c_not @ $false|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614))&((~c_atleast4 @ X1615|~c_and @ $false @ $true|(c_not @ $false|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(c_not @ $false|c_Subq @ X1614 @ X1615)|epred155_2 @ X1615 @ X1614)))))&(((((~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615|(~c_Subq @ X1614 @ X1615|c_not @ $true)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|c_Subq @ X1614 @ X1615|(~c_Subq @ X1614 @ X1615|c_not @ $true)|epred155_2 @ X1615 @ X1614))&((~c_Subq @ X1614 @ X1615|~c_not @ $true|(~c_Subq @ X1614 @ X1615|c_not @ $true)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|~c_not @ $true|(~c_Subq @ X1614 @ X1615|c_not @ $true)|epred155_2 @ X1615 @ X1614)))&(((~c_atleast4 @ X1615|c_atleast4 @ X1615|(~c_Subq @ X1614 @ X1615|c_not @ $true)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|c_atleast4 @ X1615|(~c_Subq @ X1614 @ X1615|c_not @ $true)|epred155_2 @ X1615 @ X1614))&((~c_atleast4 @ X1615|~c_and @ $false @ $true|(~c_Subq @ X1614 @ X1615|c_not @ $true)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_Subq @ X1614 @ X1615|c_not @ $true)|epred155_2 @ X1615 @ X1614))))&((((~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615|(c_not @ $false|c_not @ $true)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|c_Subq @ X1614 @ X1615|(c_not @ $false|c_not @ $true)|epred155_2 @ X1615 @ X1614))&((~c_Subq @ X1614 @ X1615|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred155_2 @ X1615 @ X1614)))&(((~c_atleast4 @ X1615|c_atleast4 @ X1615|(c_not @ $false|c_not @ $true)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|c_atleast4 @ X1615|(c_not @ $false|c_not @ $true)|epred155_2 @ X1615 @ X1614))&((~c_atleast4 @ X1615|~c_and @ $false @ $true|(c_not @ $false|c_not @ $true)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(c_not @ $false|c_not @ $true)|epred155_2 @ X1615 @ X1614))))))&((((((~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615|(~c_atleast4 @ X1615|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|c_Subq @ X1614 @ X1615|(~c_atleast4 @ X1615|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614))&((~c_Subq @ X1614 @ X1615|~c_not @ $true|(~c_atleast4 @ X1615|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|~c_not @ $true|(~c_atleast4 @ X1615|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614)))&(((~c_atleast4 @ X1615|c_atleast4 @ X1615|(~c_atleast4 @ X1615|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|c_atleast4 @ X1615|(~c_atleast4 @ X1615|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614))&((~c_atleast4 @ X1615|~c_and @ $false @ $true|(~c_atleast4 @ X1615|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_atleast4 @ X1615|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614))))&((((~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615|(~c_and @ $true @ $false|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|c_Subq @ X1614 @ X1615|(~c_and @ $true @ $false|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614))&((~c_Subq @ X1614 @ X1615|~c_not @ $true|(~c_and @ $true @ $false|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|~c_not @ $true|(~c_and @ $true @ $false|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614)))&(((~c_atleast4 @ X1615|c_atleast4 @ X1615|(~c_and @ $true @ $false|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|c_atleast4 @ X1615|(~c_and @ $true @ $false|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614))&((~c_atleast4 @ X1615|~c_and @ $false @ $true|(~c_and @ $true @ $false|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_and @ $true @ $false|c_atleast4 @ X1615)|epred155_2 @ X1615 @ X1614)))))&(((((~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615|(~c_atleast4 @ X1615|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|c_Subq @ X1614 @ X1615|(~c_atleast4 @ X1615|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614))&((~c_Subq @ X1614 @ X1615|~c_not @ $true|(~c_atleast4 @ X1615|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|~c_not @ $true|(~c_atleast4 @ X1615|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614)))&(((~c_atleast4 @ X1615|c_atleast4 @ X1615|(~c_atleast4 @ X1615|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|c_atleast4 @ X1615|(~c_atleast4 @ X1615|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614))&((~c_atleast4 @ X1615|~c_and @ $false @ $true|(~c_atleast4 @ X1615|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_atleast4 @ X1615|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614))))&((((~c_Subq @ X1614 @ X1615|c_Subq @ X1614 @ X1615|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|c_Subq @ X1614 @ X1615|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614))&((~c_Subq @ X1614 @ X1615|~c_not @ $true|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614)&(~c_not @ $false|~c_not @ $true|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614)))&(((~c_atleast4 @ X1615|c_atleast4 @ X1615|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|c_atleast4 @ X1615|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614))&((~c_atleast4 @ X1615|~c_and @ $false @ $true|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred155_2 @ X1615 @ X1614)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])).
1.38/1.54	thf(c_0_68, plain, ![X1616:$i, X1618:$i, X1619:$i]:((((epred154_2 @ (esk177_1 @ X1616) @ X1616|c_and @ $true @ $true|~c_Subq @ (esk177_1 @ X1616) @ X1616|~epred156_1 @ X1616)&(epred155_2 @ (esk177_1 @ X1616) @ X1616|c_and @ $true @ $false|~c_Subq @ (esk177_1 @ X1616) @ X1616|~epred156_1 @ X1616))&((epred154_2 @ (esk177_1 @ X1616) @ X1616|c_and @ $false @ $true|c_Subq @ (esk177_1 @ X1616) @ X1616|~epred156_1 @ X1616)&(epred155_2 @ (esk177_1 @ X1616) @ X1616|c_and @ $false @ $false|c_Subq @ (esk177_1 @ X1616) @ X1616|~epred156_1 @ X1616)))&(((~c_Subq @ X1619 @ X1618|c_Subq @ X1619 @ X1618|epred156_1 @ X1618)&(((~epred155_2 @ X1619 @ X1618|~epred154_2 @ X1619 @ X1618|c_Subq @ X1619 @ X1618|epred156_1 @ X1618)&(~c_and @ $false @ $false|~epred154_2 @ X1619 @ X1618|c_Subq @ X1619 @ X1618|epred156_1 @ X1618))&((~epred155_2 @ X1619 @ X1618|~c_and @ $false @ $true|c_Subq @ X1619 @ X1618|epred156_1 @ X1618)&(~c_and @ $false @ $false|~c_and @ $false @ $true|c_Subq @ X1619 @ X1618|epred156_1 @ X1618))))&((((~c_Subq @ X1619 @ X1618|(~epred155_2 @ X1619 @ X1618|~epred154_2 @ X1619 @ X1618)|epred156_1 @ X1618)&(((~epred155_2 @ X1619 @ X1618|~epred154_2 @ X1619 @ X1618|(~epred155_2 @ X1619 @ X1618|~epred154_2 @ X1619 @ X1618)|epred156_1 @ X1618)&(~c_and @ $false @ $false|~epred154_2 @ X1619 @ X1618|(~epred155_2 @ X1619 @ X1618|~epred154_2 @ X1619 @ X1618)|epred156_1 @ X1618))&((~epred155_2 @ X1619 @ X1618|~c_and @ $false @ $true|(~epred155_2 @ X1619 @ X1618|~epred154_2 @ X1619 @ X1618)|epred156_1 @ X1618)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~epred155_2 @ X1619 @ X1618|~epred154_2 @ X1619 @ X1618)|epred156_1 @ X1618))))&((~c_Subq @ X1619 @ X1618|(~c_and @ $true @ $false|~epred154_2 @ X1619 @ X1618)|epred156_1 @ X1618)&(((~epred155_2 @ X1619 @ X1618|~epred154_2 @ X1619 @ X1618|(~c_and @ $true @ $false|~epred154_2 @ X1619 @ X1618)|epred156_1 @ X1618)&(~c_and @ $false @ $false|~epred154_2 @ X1619 @ X1618|(~c_and @ $true @ $false|~epred154_2 @ X1619 @ X1618)|epred156_1 @ X1618))&((~epred155_2 @ X1619 @ X1618|~c_and @ $false @ $true|(~c_and @ $true @ $false|~epred154_2 @ X1619 @ X1618)|epred156_1 @ X1618)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_and @ $true @ $false|~epred154_2 @ X1619 @ X1618)|epred156_1 @ X1618)))))&(((~c_Subq @ X1619 @ X1618|(~epred155_2 @ X1619 @ X1618|~c_and @ $true @ $true)|epred156_1 @ X1618)&(((~epred155_2 @ X1619 @ X1618|~epred154_2 @ X1619 @ X1618|(~epred155_2 @ X1619 @ X1618|~c_and @ $true @ $true)|epred156_1 @ X1618)&(~c_and @ $false @ $false|~epred154_2 @ X1619 @ X1618|(~epred155_2 @ X1619 @ X1618|~c_and @ $true @ $true)|epred156_1 @ X1618))&((~epred155_2 @ X1619 @ X1618|~c_and @ $false @ $true|(~epred155_2 @ X1619 @ X1618|~c_and @ $true @ $true)|epred156_1 @ X1618)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~epred155_2 @ X1619 @ X1618|~c_and @ $true @ $true)|epred156_1 @ X1618))))&((~c_Subq @ X1619 @ X1618|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred156_1 @ X1618)&(((~epred155_2 @ X1619 @ X1618|~epred154_2 @ X1619 @ X1618|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred156_1 @ X1618)&(~c_and @ $false @ $false|~epred154_2 @ X1619 @ X1618|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred156_1 @ X1618))&((~epred155_2 @ X1619 @ X1618|~c_and @ $false @ $true|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred156_1 @ X1618)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred156_1 @ X1618)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])])])])).
1.38/1.54	thf(c_0_69, plain, ![X1:$i]:(epred80_1 @ X1<=>((((~c_atleast6 @ X1|~c_not @ $true)&(c_atleast6 @ X1|~c_not @ $false))|c_and @ $false @ $true)&(((~c_atleast6 @ X1|c_not @ $true)&(c_atleast6 @ X1|c_not @ $false))|c_and @ $false @ $false))), introduced(definition)).
1.38/1.54	thf(c_0_70, plain, ![X1:$i, X2:$i > $i, X4:$i > $o, X3:$i]:(~c_In @ X1 @ (X2 @ (X2 @ (X2 @ (c_setexp @ (c_famunion @ (c_SNoLev @ c_Empty) @ esk3_1) @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ (c_Power @ c_Empty)))))))|~c_Subq @ X3 @ X1|~epred18_1 @ X4|~X4 @ X3), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_50]), c_0_50]), c_0_50]), c_0_40]), c_0_54])).
1.38/1.54	thf(c_0_71, plain, ![X3:$i, X1:$i]:(esk5_2 @ X1 @ X3)=(X1), inference(split_conjunct,[status(thm)],[c_0_57])).
1.38/1.54	thf(c_0_72, plain, ![X1:$i, X3:$i]:(c_In @ X1 @ (c_Eps_i @ (c_In @ X1))|~c_Subq @ X1 @ X3), inference(spm,[status(thm)],[c_0_58, c_0_59])).
1.38/1.54	thf(c_0_73, plain, ![X1:$i]:c_Subq @ X1 @ X1, inference(spm,[status(thm)],[c_0_60, c_0_61])).
1.38/1.54	thf(c_0_74, plain, ![X1:$i, X4:$i > $o]:(epred18_1 @ X4|~c_Subq @ X1 @ (c_setsum @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty))|~epred15_2 @ X1 @ X4|~epred16_2 @ X1 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])])).
1.38/1.54	thf(c_0_75, plain, ![X1:$i]:c_Subq @ c_Empty @ X1, inference(spm,[status(thm)],[c_0_64, c_0_61])).
1.38/1.54	thf(c_0_76, plain, ![X1:$i, X4:$i > $o]:(X4 @ X1|epred16_2 @ X1 @ X4|~c_not @ $false), inference(split_conjunct,[status(thm)],[c_0_65])).
1.38/1.54	thf(c_0_77, plain, ![X1:$i, X4:$i > $o]:(c_exactly5 @ c_Empty|epred15_2 @ X1 @ X4|~c_not @ $false|~c_and @ $true @ $true), inference(split_conjunct,[status(thm)],[c_0_66])).
1.38/1.54	thf(c_0_78, plain, ![X1:$i, X3:$i]:(c_and @ $false @ $true|c_not @ $true|~c_atleast4 @ X1|~c_Subq @ X3 @ X1|~epred155_2 @ X1 @ X3), inference(split_conjunct,[status(thm)],[c_0_67])).
1.38/1.54	thf(c_0_79, plain, ![X16:$o]:~c_and @ $false @ X16, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_37])])])).
1.38/1.54	thf(c_0_80, plain, ![X1:$i]:(epred155_2 @ (esk177_1 @ X1) @ X1|c_and @ $false @ $false|c_Subq @ (esk177_1 @ X1) @ X1|~epred156_1 @ X1), inference(split_conjunct,[status(thm)],[c_0_68])).
1.38/1.54	thf(c_0_81, plain, ![X1:$i]:(epred79_1 @ X1<=>((((~c_atleast6 @ X1|~c_not @ $true)&(c_atleast6 @ X1|~c_not @ $false))|c_and @ $true @ $true)&(((~c_atleast6 @ X1|c_not @ $true)&(c_atleast6 @ X1|c_not @ $false))|c_and @ $true @ $false))), introduced(definition)).
1.38/1.54	thf(c_0_82, plain, ![X1195:$i]:((((~c_atleast6 @ X1195|~c_not @ $true|c_and @ $false @ $true|~epred80_1 @ X1195)&(c_atleast6 @ X1195|~c_not @ $false|c_and @ $false @ $true|~epred80_1 @ X1195))&((~c_atleast6 @ X1195|c_not @ $true|c_and @ $false @ $false|~epred80_1 @ X1195)&(c_atleast6 @ X1195|c_not @ $false|c_and @ $false @ $false|~epred80_1 @ X1195)))&(((((((~c_atleast6 @ X1195|c_atleast6 @ X1195|(~c_atleast6 @ X1195|c_atleast6 @ X1195)|epred80_1 @ X1195)&(~c_not @ $false|c_atleast6 @ X1195|(~c_atleast6 @ X1195|c_atleast6 @ X1195)|epred80_1 @ X1195))&((~c_atleast6 @ X1195|~c_not @ $true|(~c_atleast6 @ X1195|c_atleast6 @ X1195)|epred80_1 @ X1195)&(~c_not @ $false|~c_not @ $true|(~c_atleast6 @ X1195|c_atleast6 @ X1195)|epred80_1 @ X1195)))&(~c_and @ $false @ $false|(~c_atleast6 @ X1195|c_atleast6 @ X1195)|epred80_1 @ X1195))&((((~c_atleast6 @ X1195|c_atleast6 @ X1195|(c_not @ $false|c_atleast6 @ X1195)|epred80_1 @ X1195)&(~c_not @ $false|c_atleast6 @ X1195|(c_not @ $false|c_atleast6 @ X1195)|epred80_1 @ X1195))&((~c_atleast6 @ X1195|~c_not @ $true|(c_not @ $false|c_atleast6 @ X1195)|epred80_1 @ X1195)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_atleast6 @ X1195)|epred80_1 @ X1195)))&(~c_and @ $false @ $false|(c_not @ $false|c_atleast6 @ X1195)|epred80_1 @ X1195)))&(((((~c_atleast6 @ X1195|c_atleast6 @ X1195|(~c_atleast6 @ X1195|c_not @ $true)|epred80_1 @ X1195)&(~c_not @ $false|c_atleast6 @ X1195|(~c_atleast6 @ X1195|c_not @ $true)|epred80_1 @ X1195))&((~c_atleast6 @ X1195|~c_not @ $true|(~c_atleast6 @ X1195|c_not @ $true)|epred80_1 @ X1195)&(~c_not @ $false|~c_not @ $true|(~c_atleast6 @ X1195|c_not @ $true)|epred80_1 @ X1195)))&(~c_and @ $false @ $false|(~c_atleast6 @ X1195|c_not @ $true)|epred80_1 @ X1195))&((((~c_atleast6 @ X1195|c_atleast6 @ X1195|(c_not @ $false|c_not @ $true)|epred80_1 @ X1195)&(~c_not @ $false|c_atleast6 @ X1195|(c_not @ $false|c_not @ $true)|epred80_1 @ X1195))&((~c_atleast6 @ X1195|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred80_1 @ X1195)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred80_1 @ X1195)))&(~c_and @ $false @ $false|(c_not @ $false|c_not @ $true)|epred80_1 @ X1195))))&((((~c_atleast6 @ X1195|c_atleast6 @ X1195|~c_and @ $false @ $true|epred80_1 @ X1195)&(~c_not @ $false|c_atleast6 @ X1195|~c_and @ $false @ $true|epred80_1 @ X1195))&((~c_atleast6 @ X1195|~c_not @ $true|~c_and @ $false @ $true|epred80_1 @ X1195)&(~c_not @ $false|~c_not @ $true|~c_and @ $false @ $true|epred80_1 @ X1195)))&(~c_and @ $false @ $false|~c_and @ $false @ $true|epred80_1 @ X1195)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])).
1.38/1.54	thf(c_0_83, plain, ![X1:$i, X3:$i, X4:$i > $o, X5:$i]:(~c_In @ X1 @ X3|~c_Subq @ X5 @ X1|~epred18_1 @ X4|~X4 @ X5), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_71]), c_0_71])).
1.38/1.54	thf(c_0_84, plain, ![X1:$i]:c_In @ X1 @ (c_Eps_i @ (c_In @ X1)), inference(spm,[status(thm)],[c_0_72, c_0_73])).
1.38/1.54	thf(c_0_85, plain, ![X4:$i > $o]:(epred18_1 @ X4|~epred15_2 @ c_Empty @ X4|~epred16_2 @ c_Empty @ X4), inference(spm,[status(thm)],[c_0_74, c_0_75])).
1.38/1.54	thf(c_0_86, plain, ![X4:$i > $o, X1:$i]:(epred16_2 @ X1 @ X4|X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_31])])).
1.38/1.54	thf(c_0_87, plain, ![X1:$i, X4:$i > $o]:(epred15_2 @ X1 @ X4|c_exactly5 @ c_Empty|~c_and @ $true @ $true), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_31])])).
1.38/1.54	thf(c_0_88, plain, ![X1:$i, X3:$i]:(c_atleast4 @ X1|c_and @ $false @ $false|c_not @ $true|~c_Subq @ X3 @ X1|~epred155_2 @ X1 @ X3), inference(split_conjunct,[status(thm)],[c_0_67])).
1.38/1.54	thf(c_0_89, plain, ![X1:$i, X3:$i]:(~c_Subq @ X1 @ X3|~epred155_2 @ X3 @ X1|~c_atleast4 @ X3), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_78, c_0_54]), c_0_79])).
1.38/1.54	thf(c_0_90, plain, ![X1:$i]:(epred155_2 @ (esk177_1 @ X1) @ X1|c_and @ $true @ $false|~c_Subq @ (esk177_1 @ X1) @ X1|~epred156_1 @ X1), inference(split_conjunct,[status(thm)],[c_0_68])).
1.38/1.54	thf(c_0_91, plain, ![X16:$o]:~c_and @ X16 @ $false, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_37])])])).
1.38/1.54	thf(c_0_92, plain, ![X1:$i]:(epred155_2 @ (esk177_1 @ X1) @ X1|c_Subq @ (esk177_1 @ X1) @ X1|~epred156_1 @ X1), inference(sr,[status(thm)],[c_0_80, c_0_79])).
1.38/1.54	thf(c_0_93, plain, ![X1:$i]:(c_exactly5 @ X1<=>((~c_atleast5 @ X1|epred79_1 @ X1)&(c_atleast5 @ X1|epred80_1 @ X1))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[ax27])]), c_0_81]), c_0_69])).
1.38/1.54	thf(c_0_94, plain, ![X1:$i]:(c_not @ $true|c_and @ $false @ $false|~c_atleast6 @ X1|~epred80_1 @ X1), inference(split_conjunct,[status(thm)],[c_0_82])).
1.38/1.54	thf(c_0_95, plain, ![X4:$i > $o, X3:$i, X1:$i]:(~c_Subq @ X1 @ X3|~epred18_1 @ X4|~X4 @ X1), inference(spm,[status(thm)],[c_0_83, c_0_84])).
1.38/1.54	thf(c_0_96, plain, ![X1:$i]:c_Subq @ X1 @ (c_Eps_i @ (c_Subq @ X1)), inference(spm,[status(thm)],[c_0_58, c_0_73])).
1.38/1.54	thf(c_0_97, plain, ![X4:$i > $o]:(X4 @ c_Empty|epred18_1 @ X4|~epred15_2 @ c_Empty @ X4), inference(spm,[status(thm)],[c_0_85, c_0_86])).
1.38/1.54	thf(c_0_98, plain, ![X1:$i, X4:$i > $o]:(c_exactly5 @ c_Empty|epred15_2 @ X1 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_63])])).
1.38/1.54	thf(c_0_99, plain, ![X3:$i, X1:$i]:(~c_Subq @ X1 @ X3|~epred155_2 @ X3 @ X1), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_88, c_0_54]), c_0_79]), c_0_89])).
1.38/1.54	thf(c_0_100, plain, ![X1:$i]:(epred155_2 @ (esk177_1 @ X1) @ X1|~epred156_1 @ X1), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_90, c_0_91]), c_0_92])).
1.38/1.54	thf(c_0_101, plain, ![X1:$i]:(c_atleast5 @ X1<=>epred156_1 @ X1), inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[ax22])]), c_0_41])).
1.38/1.54	thf(c_0_102, plain, ![X490:$i]:(((~c_atleast5 @ X490|epred79_1 @ X490|~c_exactly5 @ X490)&(c_atleast5 @ X490|epred80_1 @ X490|~c_exactly5 @ X490))&(((~c_atleast5 @ X490|c_atleast5 @ X490|c_exactly5 @ X490)&(~epred80_1 @ X490|c_atleast5 @ X490|c_exactly5 @ X490))&((~c_atleast5 @ X490|~epred79_1 @ X490|c_exactly5 @ X490)&(~epred80_1 @ X490|~epred79_1 @ X490|c_exactly5 @ X490)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])).
1.38/1.54	thf(c_0_103, plain, ![X1:$i]:(c_atleast6 @ X1|c_and @ $false @ $true|~c_not @ $false|~epred80_1 @ X1), inference(split_conjunct,[status(thm)],[c_0_82])).
1.38/1.54	thf(c_0_104, plain, ![X1:$i]:(~c_atleast6 @ X1|~epred80_1 @ X1), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_94, c_0_54]), c_0_79])).
1.38/1.54	thf(c_0_105, plain, ![X4:$i > $o, X1:$i]:(~epred18_1 @ X4|~X4 @ X1), inference(spm,[status(thm)],[c_0_95, c_0_96])).
1.38/1.54	thf(c_0_106, plain, ![X4:$i > $o]:(c_exactly5 @ c_Empty|epred18_1 @ X4|X4 @ c_Empty), inference(spm,[status(thm)],[c_0_97, c_0_98])).
1.38/1.54	thf(c_0_107, plain, ![X1:$i]:(~c_Subq @ X1 @ (esk177_1 @ X1)|~epred156_1 @ X1), inference(spm,[status(thm)],[c_0_99, c_0_100])).
1.38/1.54	thf(c_0_108, plain, ![X695:$i]:((~c_atleast5 @ X695|epred156_1 @ X695)&(~epred156_1 @ X695|c_atleast5 @ X695)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])).
1.38/1.54	thf(c_0_109, plain, ![X1:$i]:(c_atleast5 @ X1|epred80_1 @ X1|~c_exactly5 @ X1), inference(split_conjunct,[status(thm)],[c_0_102])).
1.38/1.54	thf(c_0_110, plain, ![X1:$i]:~epred80_1 @ X1, inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103, c_0_31])]), c_0_79]), c_0_104])).
1.38/1.54	thf(c_0_111, plain, ![X4:$i > $o, X1:$i]:(c_exactly5 @ c_Empty|X4 @ c_Empty|~X4 @ X1), inference(spm,[status(thm)],[c_0_105, c_0_106])).
1.38/1.54	thf(c_0_112, plain, ~epred156_1 @ c_Empty, inference(spm,[status(thm)],[c_0_107, c_0_75])).
1.38/1.54	thf(c_0_113, plain, ![X1:$i]:(epred156_1 @ X1|~c_atleast5 @ X1), inference(split_conjunct,[status(thm)],[c_0_108])).
1.38/1.54	thf(c_0_114, plain, ![X1:$i]:(c_atleast5 @ X1|~c_exactly5 @ X1), inference(sr,[status(thm)],[c_0_109, c_0_110])).
1.38/1.54	thf(c_0_115, plain, c_exactly5 @ c_Empty, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_84]), c_0_64])).
1.38/1.54	thf(c_0_116, plain, ~c_atleast5 @ c_Empty, inference(spm,[status(thm)],[c_0_112, c_0_113])).
1.38/1.54	thf(c_0_117, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_115]), c_0_116]), ['proof']).
1.38/1.54	# SZS output end CNFRefutation
1.38/1.54	# Proof object total steps             : 118
1.38/1.54	# Proof object clause steps            : 62
1.38/1.54	# Proof object formula steps           : 56
1.38/1.54	# Proof object conjectures             : 5
1.38/1.54	# Proof object clause conjectures      : 2
1.38/1.54	# Proof object formula conjectures     : 3
1.38/1.54	# Proof object initial clauses used    : 27
1.38/1.54	# Proof object initial formulas used   : 11
1.38/1.54	# Proof object generating inferences   : 18
1.38/1.54	# Proof object simplifying inferences  : 44
1.38/1.55	# Training examples: 0 positive, 0 negative
1.38/1.55	# Parsed axioms                        : 213
1.38/1.55	# Removed by relevancy pruning/SinE    : 0
1.38/1.55	# Initial clauses                      : 7502
1.38/1.55	# Removed in clause preprocessing      : 2438
1.38/1.55	# Initial clauses in saturation        : 5064
1.38/1.55	# Processed clauses                    : 8554
1.38/1.55	# ...of these trivial                  : 427
1.38/1.55	# ...subsumed                          : 3857
1.38/1.55	# ...remaining for further processing  : 4270
1.38/1.55	# Other redundant clauses eliminated   : 170
1.38/1.55	# Clauses deleted for lack of memory   : 0
1.38/1.55	# Backward-subsumed                    : 223
1.38/1.55	# Backward-rewritten                   : 108
1.38/1.55	# Generated clauses                    : 20340
1.38/1.55	# ...of the previous two non-trivial   : 12859
1.38/1.55	# Contextual simplify-reflections      : 242
1.38/1.55	# Paramodulations                      : 8244
1.38/1.55	# Factorizations                       : 0
1.38/1.55	# NegExts                              : 2974
1.38/1.55	# Equation resolutions                 : 170
1.38/1.55	# Propositional unsat checks           : 0
1.38/1.55	#    Propositional check models        : 0
1.38/1.55	#    Propositional check unsatisfiable : 0
1.38/1.55	#    Propositional clauses             : 0
1.38/1.55	#    Propositional clauses after purity: 0
1.38/1.55	#    Propositional unsat core size     : 0
1.38/1.55	#    Propositional preprocessing time  : 0.000
1.38/1.55	#    Propositional encoding time       : 0.000
1.38/1.55	#    Propositional solver time         : 0.000
1.38/1.55	#    Success case prop preproc time    : 0.000
1.38/1.55	#    Success case prop encoding time   : 0.000
1.38/1.55	#    Success case prop solver time     : 0.000
1.38/1.55	# Current number of processed clauses  : 2280
1.38/1.55	#    Positive orientable unit clauses  : 164
1.38/1.55	#    Positive unorientable unit clauses: 2
1.38/1.55	#    Negative unit clauses             : 125
1.38/1.55	#    Non-unit-clauses                  : 1989
1.38/1.55	# Current number of unprocessed clauses: 10669
1.38/1.55	# ...number of literals in the above   : 35955
1.38/1.55	# Current number of archived formulas  : 0
1.38/1.55	# Current number of archived clauses   : 1961
1.38/1.55	# Clause-clause subsumption calls (NU) : 1966738
1.38/1.55	# Rec. Clause-clause subsumption calls : 581872
1.38/1.55	# Non-unit clause-clause subsumptions  : 1895
1.38/1.55	# Unit Clause-clause subsumption calls : 36450
1.38/1.55	# Rewrite failures with RHS unbound    : 0
1.38/1.55	# BW rewrite match attempts            : 104
1.38/1.55	# BW rewrite match successes           : 36
1.38/1.55	# Condensation attempts                : 0
1.38/1.55	# Condensation successes               : 0
1.38/1.55	# Termbank termtop insertions          : 833211
1.38/1.55	
1.38/1.55	# -------------------------------------------------
1.38/1.55	# User time                : 1.153 s
1.38/1.55	# System time              : 0.049 s
1.38/1.55	# Total time               : 1.202 s
1.38/1.55	# Maximum resident set size: 2024 pages
1.38/1.55	EOF