0.10/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.12	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.11/0.33	% Computer : n005.cluster.edu
0.11/0.33	% Model    : x86_64 x86_64
0.11/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.33	% Memory   : 8042.1875MB
0.11/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.33	% CPULimit   : 1920
0.11/0.33	% WCLimit    : 240
0.11/0.33	% DateTime   : Wed Jul 30 10:22:04 EDT 2025
0.11/0.33	% CPUTime    : 
0.18/0.47	Running higher-order theorem proving
0.18/0.49	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox/tmp/tmp.u7sVVFm0YF/E---3.1_27165.p
89.06/18.59	# Version: 3.0.0-ho
89.06/18.59	# partial match(1): HSLMSMSSSSLCHSA
89.06/18.59	# Preprocessing class: HSLMSLSSSSLCHSA.
89.06/18.59	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
89.06/18.59	# Starting pre_casc_6 with 1200s (5) cores
89.06/18.59	# Starting ehoh_best7 with 240s (1) cores
89.06/18.59	# Starting new_bool_8 with 240s (1) cores
89.06/18.59	# Starting new_ho_11 with 240s (1) cores
89.06/18.59	# ehoh_best7 with pid 27244 completed with status 0
89.06/18.59	# Result found by ehoh_best7
89.06/18.59	# partial match(1): HSLMSMSSSSLCHSA
89.06/18.59	# Preprocessing class: HSLMSLSSSSLCHSA.
89.06/18.59	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
89.06/18.59	# Starting pre_casc_6 with 1200s (5) cores
89.06/18.59	# Starting ehoh_best7 with 240s (1) cores
89.06/18.59	# No SInE strategy applied
89.06/18.59	# Search class: HGHSM-SMLM33-DHSFFSBC
89.06/18.59	# partial match(1): HGHSM-SMLM32-DHSFFSBC
89.06/18.59	# Scheduled 6 strats onto 1 cores with 227 seconds (227 total)
89.06/18.59	# Starting new_ho_10 with 69s (1) cores
89.06/18.59	# new_ho_10 with pid 27254 completed with status 0
89.06/18.59	# Result found by new_ho_10
89.06/18.59	# partial match(1): HSLMSMSSSSLCHSA
89.06/18.59	# Preprocessing class: HSLMSLSSSSLCHSA.
89.06/18.59	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
89.06/18.59	# Starting pre_casc_6 with 1200s (5) cores
89.06/18.59	# Starting ehoh_best7 with 240s (1) cores
89.06/18.59	# No SInE strategy applied
89.06/18.59	# Search class: HGHSM-SMLM33-DHSFFSBC
89.06/18.59	# partial match(1): HGHSM-SMLM32-DHSFFSBC
89.06/18.59	# Scheduled 6 strats onto 1 cores with 227 seconds (227 total)
89.06/18.59	# Starting new_ho_10 with 69s (1) cores
89.06/18.59	# Preprocessing time       : 0.090 s
89.06/18.59	# Presaturation interreduction done
89.06/18.59	
89.06/18.59	# Proof found!
89.06/18.59	# SZS status Theorem
89.06/18.59	# SZS output start CNFRefutation
89.06/18.59	thf(decl_24, type, c_False: $o).
89.06/18.59	thf(decl_26, type, c_not: $o > $o).
89.06/18.59	thf(decl_27, type, c_and: $o > $o > $o).
89.06/18.59	thf(decl_30, type, c_In: $i > $i > $o).
89.06/18.59	thf(decl_31, type, c_Subq: $i > $i > $o).
89.06/18.59	thf(decl_32, type, c_Empty: $i).
89.06/18.59	thf(decl_34, type, c_Power: $i > $i).
89.06/18.59	thf(decl_36, type, c_TransSet: $i > $o).
89.06/18.59	thf(decl_42, type, c_exactly2: $i > $o).
89.06/18.59	thf(decl_72, type, c_binintersect: $i > $i > $i).
89.06/18.59	thf(decl_80, type, c_ordsucc: $i > $i).
89.06/18.59	thf(decl_94, type, c_binrep: $i > $i > $i).
89.06/18.59	thf(decl_96, type, c_setprod: $i > $i > $i).
89.06/18.59	thf(decl_114, type, c_SNo: $i > $o).
89.06/18.59	thf(decl_127, type, epred1_2: ($i > $i) > $i > $o).
89.06/18.59	thf(decl_130, type, epred4_3: $i > ($i > $i) > ($i > $o) > $o).
89.06/18.59	thf(decl_131, type, epred5_3: $i > ($i > $i) > ($i > $o) > $o).
89.06/18.59	thf(decl_133, type, epred7_0: $o).
89.06/18.59	thf(decl_134, type, epred8_2: ($i > $i) > ($i > $o) > $o).
89.06/18.59	thf(decl_135, type, epred9_2: ($i > $i) > ($i > $o) > $o).
89.06/18.59	thf(decl_278, type, epred152_0: $i > $o).
89.06/18.59	thf(decl_279, type, esk1_0: $i > $i).
89.06/18.59	thf(decl_282, type, epred153_2: $o > $o > $o).
89.06/18.59	thf(decl_314, type, esk30_0: $i).
89.06/18.59	thf(decl_349, type, esk64_2: ($i > $o) > ($i > $i) > $i).
89.06/18.59	thf(decl_350, type, esk65_2: ($i > $o) > ($i > $i) > $i).
89.06/18.59	thf(decl_351, type, esk66_2: ($i > $o) > ($i > $i) > $i).
89.06/18.59	thf(decl_352, type, esk67_2: ($i > $o) > ($i > $i) > $i).
89.06/18.59	thf(conj, conjecture, (c_not @ (![X1:$i > $o, X2:$i > $i]:((c_and @ ((?[X3:$i]:((c_and @ (?[X4:$i]:((c_and @ ((c_Subq @ X4 @ X3)) @ ((?[X5:$i]:((c_and @ ((c_Subq @ X5 @ X3)) @ ((c_not @ ((X1 @ (c_setprod @ X4 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))))))))<=((X3)=(X2 @ X3))))))) @ ((c_not @ ((c_SNo @ X3))))))<=(((c_TransSet @ (X2 @ c_Empty))=>![X3:$i]:((?[X4:$i]:((c_and @ ((c_Subq @ X4 @ X3)) @ ((c_exactly2 @ (c_ordsucc @ (X2 @ X4))))))<=(c_In @ X3 @ c_Empty))))<=(X1 @ (X2 @ (c_binintersect @ (X2 @ (c_Power @ c_Empty)) @ (X2 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))))) @ ((c_not @ ((X1 @ (X2 @ (X2 @ (X2 @ (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/sandbox/tmp/tmp.u7sVVFm0YF/E---3.1_27165.p', conj)).
89.06/18.59	thf(ax13, axiom, ((c_not)=(^[X207:$o]:(((c_False)<=(X207))))), file('/export/starexec/sandbox/tmp/tmp.u7sVVFm0YF/E---3.1_27165.p', ax13)).
89.06/18.59	thf(ax5, axiom, (c_not @ (?[X204:$i]:((c_In @ X204 @ c_Empty)))), file('/export/starexec/sandbox/tmp/tmp.u7sVVFm0YF/E---3.1_27165.p', ax5)).
89.06/18.59	thf(ax14, axiom, ((c_and)=(^[X29:$o, X30:$o]:(![X31:$o]:((((X29)=>((X30)=>(X31)))=>(X31)))))), file('/export/starexec/sandbox/tmp/tmp.u7sVVFm0YF/E---3.1_27165.p', ax14)).
89.06/18.59	thf(c_0_4, plain, ((epred7_0)<=>(~(![X1:$i > $o, X2:$i > $i]:(((~((((X1 @ (X2 @ (c_binintersect @ (X2 @ (c_Power @ c_Empty)) @ (X2 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))=>((c_TransSet @ (X2 @ c_Empty))=>![X3:$i]:(((c_In @ X3 @ c_Empty)=>?[X4:$i]:(((~(c_Subq @ X4 @ X3)|((~(c_exactly2 @ (c_ordsucc @ (X2 @ X4)))|(c_and @ $true @ $true))&((c_exactly2 @ (c_ordsucc @ (X2 @ X4)))|(c_and @ $true @ $false))))&((c_Subq @ X4 @ X3)|((~(c_exactly2 @ (c_ordsucc @ (X2 @ X4)))|(c_and @ $false @ $true))&((c_exactly2 @ (c_ordsucc @ (X2 @ X4)))|(c_and @ $false @ $false))))))))))=>?[X3:$i]:(((~(?[X4:$i]:(((~(c_Subq @ X4 @ X3)|((~((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ $true))&((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ $false))))&((c_Subq @ X4 @ X3)|((~((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ $true))&((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X3)|~(c_not @ $true))&((c_SNo @ X3)|~(c_not @ $false)))|(c_and @ $true @ $true))&(((~(c_SNo @ X3)|(c_not @ $true))&((c_SNo @ X3)|(c_not @ $false)))|(c_and @ $true @ $false))))&(?[X4:$i]:(((~(c_Subq @ X4 @ X3)|((~((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ $true))&((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ 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(c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $false)))|(c_and @ $false @ $true))&(((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ $true))&((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X3)|~(c_not @ $true))&((c_SNo @ X3)|~(c_not @ $false)))|(c_and @ $false @ $true))&(((~(c_SNo @ X3)|(c_not @ $true))&((c_SNo @ X3)|(c_not @ $false)))|(c_and @ $false @ $false)))))))|((((~(X1 @ (X2 @ (X2 @ (X2 @ (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 @ (X2 @ (X2 @ (X2 @ (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 @ (X2 @ (X2 @ (X2 @ (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 @ (X2 @ (X2 @ (X2 @ (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 @ $false)))))), introduced(definition)).
89.06/18.59	thf(c_0_7, negated_conjecture, ~(((epred7_0)&(![X1:$i > $o, X2:$i > $i]:(((epred8_2 @ X2 @ X1)&(epred9_2 @ X2 @ X1)))|(c_not @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])])]), c_0_4]), c_0_5]), c_0_6])).
89.06/18.59	thf(c_0_8, plain, ![X467:$o]:(((c_not @ ((X467)))<=>((X467)=>(c_False)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])])])).
89.06/18.59	thf(c_0_9, plain, ((~(![X1:$i > $o, X2:$i > $i]:(((epred8_2 @ X2 @ X1)&(epred9_2 @ X2 @ X1))))|(c_not @ $true))=>(epred7_0)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_4]), c_0_5]), c_0_6])).
89.06/18.59	thf(c_0_10, negated_conjecture, ((~(epred8_2 @ esk1_0 @ epred152_0)|~(epred9_2 @ esk1_0 @ epred152_0)|~(epred7_0))&(~(c_not @ $false)|~(epred7_0))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])).
89.06/18.59	thf(c_0_11, plain, ![X780:$o]:(((~(c_not @ ((X780)))|(~(X780)|(c_False)))&(((X780)|(c_not @ ((X780))))&(~(c_False)|(c_not @ ((X780))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])).
89.06/18.59	thf(c_0_12, plain, ![X3:$i, X2:$i > $i]:(((epred1_2 @ X2 @ X3)<=>?[X4:$i]:(((~(c_Subq @ X4 @ X3)|((~(c_exactly2 @ (c_ordsucc @ (X2 @ X4)))|(c_and @ $true @ $true))&((c_exactly2 @ (c_ordsucc @ (X2 @ X4)))|(c_and @ $true @ $false))))&((c_Subq @ X4 @ X3)|((~(c_exactly2 @ (c_ordsucc @ (X2 @ X4)))|(c_and @ $false @ $true))&((c_exactly2 @ (c_ordsucc @ (X2 @ X4)))|(c_and @ $false @ $false)))))))), introduced(definition)).
89.06/18.59	thf(c_0_13, plain, ![X1:$i > $o, X2:$i > $i, X3:$i]:(((epred4_3 @ X3 @ X2 @ X1)<=>(~(?[X4:$i]:(((~(c_Subq @ X4 @ X3)|((~((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ $true))&((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ $false))))&((c_Subq @ X4 @ X3)|((~((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ $true))&((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X3)|~(c_not @ $true))&((c_SNo @ X3)|~(c_not @ $false)))|(c_and @ $true @ $true))&(((~(c_SNo @ X3)|(c_not @ $true))&((c_SNo @ X3)|(c_not @ $false)))|(c_and @ $true @ $false)))))), introduced(definition)).
89.06/18.59	thf(c_0_14, plain, ![X1:$i > $o, X2:$i > $i, X3:$i]:(((epred5_3 @ X3 @ X2 @ X1)<=>(?[X4:$i]:(((~(c_Subq @ X4 @ X3)|((~((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ $true))&((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ $false))))&((c_Subq @ X4 @ X3)|((~((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ $true))&((((X3)=(X2 @ X3))=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X5 @ X3)|((((~(X1 @ (c_setprod @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X4 @ (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 @ X3)|~(c_not @ $true))&((c_SNo @ X3)|~(c_not @ $false)))|(c_and @ $false @ $true))&(((~(c_SNo @ X3)|(c_not @ $true))&((c_SNo @ X3)|(c_not @ $false)))|(c_and @ $false @ $false)))))), introduced(definition)).
89.06/18.59	thf(c_0_15, axiom, ((~(?[X204:$i]:((c_In @ X204 @ c_Empty)))|(c_not @ $true))&(?[X204:$i]:((c_In @ X204 @ c_Empty))|(c_not @ $false))), inference(fool_unroll,[status(thm)],[ax5])).
89.06/18.59	thf(c_0_16, plain, ![X919:$i > $o, X920:$i > $i]:(((((epred8_2 @ X920 @ X919)|(epred7_0))&((epred9_2 @ X920 @ X919)|(epred7_0)))&(~(c_not @ $true)|(epred7_0)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])).
89.06/18.59	thf(c_0_17, negated_conjecture, (~((c_not @ (~($true))))|~((epred7_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
89.06/18.59	thf(c_0_18, plain, (c_not @ (~($true))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_11])])])).
89.06/18.59	thf(c_0_19, plain, ![X1:$i > $o, X2:$i > $i]:(((epred9_2 @ X2 @ X1)<=>((((X1 @ (X2 @ (c_binintersect @ (X2 @ (c_Power @ c_Empty)) @ (X2 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))=>((c_TransSet @ (X2 @ c_Empty))=>![X3:$i]:(((c_In @ X3 @ c_Empty)=>(epred1_2 @ X2 @ X3)))))=>?[X3:$i]:(((epred4_3 @ X3 @ X2 @ X1)&(epred5_3 @ X3 @ X2 @ X1))))|((((~(X1 @ (X2 @ (X2 @ (X2 @ (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 @ (X2 @ (X2 @ (X2 @ (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 @ (X2 @ (X2 @ (X2 @ (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 @ (X2 @ (X2 @ (X2 @ (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 @ $false)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_6, c_0_12]), c_0_13]), c_0_14])).
89.06/18.59	thf(c_0_20, plain, ![X775:$i]:(((~(c_In @ X775 @ c_Empty)|(c_not @ $true))&((c_In @ esk30_0 @ c_Empty)|(c_not @ $false)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])).
89.06/18.59	thf(c_0_21, plain, ((epred7_0)|~((c_not @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_16])).
89.06/18.59	thf(c_0_22, negated_conjecture, ~((epred7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
89.06/18.59	thf(c_0_23, plain, ![X308:$o, X309:$o]:(((c_and @ ((X308)) @ ((X309)))<=>![X31:$o]:((((X308)=>((X309)=>(X31)))=>(X31))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])])).
89.06/18.59	thf(c_0_24, plain, ![X1:$i > $o, X2:$i > $i]:(((epred8_2 @ X2 @ X1)<=>(~((((X1 @ (X2 @ (c_binintersect @ (X2 @ (c_Power @ c_Empty)) @ (X2 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))=>((c_TransSet @ (X2 @ c_Empty))=>![X3:$i]:(((c_In @ X3 @ c_Empty)=>(epred1_2 @ X2 @ X3)))))=>?[X3:$i]:(((epred4_3 @ X3 @ X2 @ X1)&(epred5_3 @ X3 @ X2 @ X1)))))|((((~(X1 @ (X2 @ (X2 @ (X2 @ (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 @ (X2 @ (X2 @ (X2 @ (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 @ (X2 @ (X2 @ (X2 @ (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 @ (X2 @ (X2 @ (X2 @ (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 @ $false)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5, c_0_12]), c_0_13]), c_0_14])).
89.06/18.59	thf(c_0_25, plain, ![X929:$i > $o, X930:$i > $i, X933:$i > $o, X934:$i > $i, X935:$i, X936:$i]:(((((((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(X929 @ (X930 @ (c_binintersect @ (X930 @ (c_Power @ c_Empty)) @ (X930 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(X929 @ (X930 @ (c_binintersect @ (X930 @ (c_Power @ c_Empty)) @ (X930 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred9_2 @ X930 @ X929)))&((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(X929 @ (X930 @ (c_binintersect @ (X930 @ (c_Power @ c_Empty)) @ (X930 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(X929 @ (X930 @ (c_binintersect @ (X930 @ (c_Power @ c_Empty)) @ (X930 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred9_2 @ X930 @ X929))))&(((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(X929 @ (X930 @ (c_binintersect @ (X930 @ (c_Power @ c_Empty)) @ (X930 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(X929 @ (X930 @ (c_binintersect @ (X930 @ (c_Power @ c_Empty)) @ (X930 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred9_2 @ X930 @ X929)))&((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(X929 @ (X930 @ (c_binintersect @ (X930 @ (c_Power @ c_Empty)) @ (X930 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(X929 @ (X930 @ (c_binintersect @ (X930 @ (c_Power @ c_Empty)) @ (X930 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred9_2 @ X930 @ X929)))))&(((((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_TransSet @ (X930 @ c_Empty)))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_TransSet @ (X930 @ c_Empty)))|~(epred9_2 @ X930 @ X929)))&((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_TransSet @ (X930 @ c_Empty)))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_TransSet @ (X930 @ c_Empty)))|~(epred9_2 @ X930 @ X929))))&(((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_TransSet @ (X930 @ c_Empty)))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_TransSet @ (X930 @ c_Empty)))|~(epred9_2 @ X930 @ X929)))&((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_TransSet @ (X930 @ c_Empty)))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_TransSet @ (X930 @ c_Empty)))|~(epred9_2 @ X930 @ X929)))))&(((((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_In @ (esk66_2 @ X929 @ X930) @ c_Empty))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_In @ (esk66_2 @ X929 @ X930) @ c_Empty))|~(epred9_2 @ X930 @ X929)))&((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_In @ (esk66_2 @ X929 @ X930) @ c_Empty))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_In @ (esk66_2 @ X929 @ X930) @ c_Empty))|~(epred9_2 @ X930 @ X929))))&(((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_In @ (esk66_2 @ X929 @ X930) @ c_Empty))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_In @ (esk66_2 @ X929 @ X930) @ c_Empty))|~(epred9_2 @ X930 @ X929)))&((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_In @ (esk66_2 @ X929 @ X930) @ c_Empty))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|(c_In @ (esk66_2 @ X929 @ X930) @ c_Empty))|~(epred9_2 @ X930 @ X929)))))&((((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|~(epred1_2 @ X930 @ (esk66_2 @ X929 @ X930)))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|~(epred1_2 @ X930 @ (esk66_2 @ X929 @ X930)))|~(epred9_2 @ X930 @ X929)))&((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|~(epred1_2 @ X930 @ (esk66_2 @ X929 @ X930)))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred4_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|~(epred1_2 @ X930 @ (esk66_2 @ X929 @ X930)))|~(epred9_2 @ X930 @ X929))))&(((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|~(epred1_2 @ X930 @ (esk66_2 @ X929 @ X930)))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|~(epred1_2 @ X930 @ (esk66_2 @ X929 @ X930)))|~(epred9_2 @ X930 @ X929)))&((~(X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|~(epred1_2 @ X930 @ (esk66_2 @ X929 @ X930)))|~(epred9_2 @ X930 @ X929))&((X929 @ (X930 @ (X930 @ (X930 @ (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)|((epred5_3 @ (esk67_2 @ X929 @ X930) @ X930 @ X929)|~(epred1_2 @ X930 @ (esk66_2 @ X929 @ X930)))|~(epred9_2 @ X930 @ X929))))))))&(((~(X933 @ (X934 @ (c_binintersect @ (X934 @ (c_Power @ c_Empty)) @ (X934 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(~(c_TransSet @ (X934 @ c_Empty))|(~(c_In @ X935 @ c_Empty)|(epred1_2 @ X934 @ X935)))|(epred9_2 @ X934 @ X933))&(~(epred4_3 @ X936 @ X934 @ X933)|~(epred5_3 @ X936 @ X934 @ X933)|(epred9_2 @ X934 @ X933)))&(((((((~(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred9_2 @ X934 @ X933))&(~(c_not @ $false)|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred9_2 @ X934 @ X933)))&((~(X933 @ (X934 @ (X934 @ (X934 @ (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)|(~(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred9_2 @ X934 @ X933))&(~(c_not @ $false)|~(c_not @ $true)|(~(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred9_2 @ X934 @ X933))))&(~(c_and @ $false @ $false)|(~(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred9_2 @ X934 @ X933)))&((((~(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X933 @ (X934 @ (X934 @ (X934 @ (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)|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred9_2 @ X934 @ X933))&(~(c_not @ $false)|(X933 @ (X934 @ (X934 @ (X934 @ (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)|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred9_2 @ X934 @ X933)))&((~(X933 @ (X934 @ (X934 @ (X934 @ (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)|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred9_2 @ X934 @ X933))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred9_2 @ X934 @ X933))))&(~(c_and @ $false @ $false)|((c_not @ $false)|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred9_2 @ X934 @ X933))))&(((((~(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X933 @ (X934 @ (X934 @ (X934 @ (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))|(epred9_2 @ X934 @ X933))&(~(c_not @ $false)|(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X933 @ (X934 @ (X934 @ (X934 @ (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))|(epred9_2 @ X934 @ X933)))&((~(X933 @ (X934 @ (X934 @ (X934 @ (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)|(~(X933 @ (X934 @ (X934 @ (X934 @ (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))|(epred9_2 @ X934 @ X933))&(~(c_not @ $false)|~(c_not @ $true)|(~(X933 @ (X934 @ (X934 @ (X934 @ (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))|(epred9_2 @ X934 @ X933))))&(~(c_and @ $false @ $false)|(~(X933 @ (X934 @ (X934 @ (X934 @ (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))|(epred9_2 @ X934 @ X933)))&((((~(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X933 @ (X934 @ (X934 @ (X934 @ (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))|(epred9_2 @ X934 @ X933))&(~(c_not @ $false)|(X933 @ (X934 @ (X934 @ (X934 @ (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))|(epred9_2 @ X934 @ X933)))&((~(X933 @ (X934 @ (X934 @ (X934 @ (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))|(epred9_2 @ X934 @ X933))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(c_not @ $true))|(epred9_2 @ X934 @ X933))))&(~(c_and @ $false @ $false)|((c_not @ $false)|(c_not @ $true))|(epred9_2 @ X934 @ X933)))))&((((~(X933 @ (X934 @ (X934 @ (X934 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X933 @ (X934 @ (X934 @ (X934 @ (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)|(epred9_2 @ X934 @ X933))&(~(c_not @ $false)|(X933 @ (X934 @ (X934 @ (X934 @ (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)|(epred9_2 @ X934 @ X933)))&((~(X933 @ (X934 @ (X934 @ (X934 @ (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)|(epred9_2 @ X934 @ X933))&(~(c_not @ $false)|~(c_not @ $true)|~(c_and @ $false @ $true)|(epred9_2 @ X934 @ X933))))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(epred9_2 @ X934 @ X933))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])])])])).
89.06/18.59	thf(c_0_26, plain, ![X2:$i > $i, X1:$i > $o]:(((epred9_2 @ X2 @ X1)|(epred7_0))), inference(split_conjunct,[status(thm)],[c_0_16])).
89.06/18.59	thf(c_0_27, plain, ![X3:$i]:(((c_not @ (($true)))|~((c_In @ X3 @ c_Empty)))), inference(split_conjunct,[status(thm)],[c_0_20])).
89.06/18.59	thf(c_0_28, plain, ~((c_not @ (($true)))), inference(sr,[status(thm)],[c_0_21, c_0_22])).
89.06/18.59	thf(c_0_29, plain, ![X524:$o, X525:$o, X526:$o, X527:$o, X528:$o]:(((((X524)|(X526)|~(c_and @ ((X524)) @ ((X525))))&(((X525)|(X526)|~(c_and @ ((X524)) @ ((X525))))&(~(X526)|(X526)|~(c_and @ ((X524)) @ ((X525))))))&((~(X527)|(~(X528)|(epred153_2 @ X527 @ X528))|(c_and @ ((X527)) @ ((X528))))&(~(epred153_2 @ X527 @ X528)|(c_and @ ((X527)) @ ((X528))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])])])])).
89.06/18.59	thf(c_0_30, plain, ![X921:$i > $o, X922:$i > $i, X923:$i, X924:$i, X925:$i > $o, X926:$i > $i]:((((((~(X921 @ (X922 @ (X922 @ (X922 @ (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)|(~(X921 @ (X922 @ (c_binintersect @ (X922 @ (c_Power @ c_Empty)) @ (X922 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(~(c_TransSet @ (X922 @ c_Empty))|(~(c_In @ X923 @ c_Empty)|(epred1_2 @ X922 @ X923))))|~(epred8_2 @ X922 @ X921))&((X921 @ (X922 @ (X922 @ (X922 @ (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)|(~(X921 @ (X922 @ (c_binintersect @ (X922 @ (c_Power @ c_Empty)) @ (X922 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(~(c_TransSet @ (X922 @ c_Empty))|(~(c_In @ X923 @ c_Empty)|(epred1_2 @ X922 @ X923))))|~(epred8_2 @ X922 @ X921)))&((~(X921 @ (X922 @ (X922 @ (X922 @ (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)|(~(X921 @ (X922 @ (c_binintersect @ (X922 @ (c_Power @ c_Empty)) @ (X922 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(~(c_TransSet @ (X922 @ c_Empty))|(~(c_In @ X923 @ c_Empty)|(epred1_2 @ X922 @ X923))))|~(epred8_2 @ X922 @ X921))&((X921 @ (X922 @ (X922 @ (X922 @ (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)|(~(X921 @ (X922 @ (c_binintersect @ (X922 @ (c_Power @ c_Empty)) @ (X922 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(~(c_TransSet @ (X922 @ c_Empty))|(~(c_In @ X923 @ c_Empty)|(epred1_2 @ X922 @ X923))))|~(epred8_2 @ X922 @ X921))))&(((~(X921 @ (X922 @ (X922 @ (X922 @ (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)|(~(epred4_3 @ X924 @ X922 @ X921)|~(epred5_3 @ X924 @ X922 @ X921))|~(epred8_2 @ X922 @ X921))&((X921 @ (X922 @ (X922 @ (X922 @ (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)|(~(epred4_3 @ X924 @ X922 @ X921)|~(epred5_3 @ X924 @ X922 @ X921))|~(epred8_2 @ X922 @ X921)))&((~(X921 @ (X922 @ (X922 @ (X922 @ (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)|(~(epred4_3 @ X924 @ X922 @ X921)|~(epred5_3 @ X924 @ X922 @ X921))|~(epred8_2 @ X922 @ X921))&((X921 @ (X922 @ (X922 @ (X922 @ (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)|(~(epred4_3 @ X924 @ X922 @ X921)|~(epred5_3 @ X924 @ X922 @ X921))|~(epred8_2 @ X922 @ X921)))))&(((((epred4_3 @ (esk65_2 @ X925 @ X926) @ X926 @ X925)|(X925 @ (X926 @ (c_binintersect @ (X926 @ (c_Power @ c_Empty)) @ (X926 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(epred8_2 @ X926 @ X925))&((epred5_3 @ (esk65_2 @ X925 @ X926) @ X926 @ X925)|(X925 @ (X926 @ (c_binintersect @ (X926 @ (c_Power @ c_Empty)) @ (X926 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(epred8_2 @ X926 @ X925)))&((((epred4_3 @ (esk65_2 @ X925 @ X926) @ X926 @ X925)|(c_TransSet @ (X926 @ c_Empty))|(epred8_2 @ X926 @ X925))&((epred5_3 @ (esk65_2 @ X925 @ X926) @ X926 @ X925)|(c_TransSet @ (X926 @ c_Empty))|(epred8_2 @ X926 @ X925)))&((((epred4_3 @ (esk65_2 @ X925 @ X926) @ X926 @ X925)|(c_In @ (esk64_2 @ X925 @ X926) @ c_Empty)|(epred8_2 @ X926 @ X925))&((epred5_3 @ (esk65_2 @ X925 @ X926) @ X926 @ X925)|(c_In @ (esk64_2 @ X925 @ X926) @ c_Empty)|(epred8_2 @ X926 @ X925)))&(((epred4_3 @ (esk65_2 @ X925 @ X926) @ X926 @ X925)|~(epred1_2 @ X926 @ (esk64_2 @ X925 @ X926))|(epred8_2 @ X926 @ X925))&((epred5_3 @ (esk65_2 @ X925 @ X926) @ X926 @ X925)|~(epred1_2 @ X926 @ (esk64_2 @ X925 @ X926))|(epred8_2 @ X926 @ X925))))))&(((((((~(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred8_2 @ X926 @ X925))&(~(c_not @ $false)|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred8_2 @ X926 @ X925)))&((~(X925 @ (X926 @ (X926 @ (X926 @ (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)|(~(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred8_2 @ X926 @ X925))&(~(c_not @ $false)|~(c_not @ $true)|(~(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred8_2 @ X926 @ X925))))&(~(c_and @ $true @ $false)|(~(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred8_2 @ X926 @ X925)))&((((~(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X925 @ (X926 @ (X926 @ (X926 @ (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)|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred8_2 @ X926 @ X925))&(~(c_not @ $false)|(X925 @ (X926 @ (X926 @ (X926 @ (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)|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred8_2 @ X926 @ X925)))&((~(X925 @ (X926 @ (X926 @ (X926 @ (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)|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred8_2 @ X926 @ X925))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred8_2 @ X926 @ X925))))&(~(c_and @ $true @ $false)|((c_not @ $false)|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred8_2 @ X926 @ X925))))&(((((~(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X925 @ (X926 @ (X926 @ (X926 @ (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))|(epred8_2 @ X926 @ X925))&(~(c_not @ $false)|(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X925 @ (X926 @ (X926 @ (X926 @ (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))|(epred8_2 @ X926 @ X925)))&((~(X925 @ (X926 @ (X926 @ (X926 @ (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)|(~(X925 @ (X926 @ (X926 @ (X926 @ (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))|(epred8_2 @ X926 @ X925))&(~(c_not @ $false)|~(c_not @ $true)|(~(X925 @ (X926 @ (X926 @ (X926 @ (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))|(epred8_2 @ X926 @ X925))))&(~(c_and @ $true @ $false)|(~(X925 @ (X926 @ (X926 @ (X926 @ (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))|(epred8_2 @ X926 @ X925)))&((((~(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X925 @ (X926 @ (X926 @ (X926 @ (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))|(epred8_2 @ X926 @ X925))&(~(c_not @ $false)|(X925 @ (X926 @ (X926 @ (X926 @ (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))|(epred8_2 @ X926 @ X925)))&((~(X925 @ (X926 @ (X926 @ (X926 @ (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))|(epred8_2 @ X926 @ X925))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(c_not @ $true))|(epred8_2 @ X926 @ X925))))&(~(c_and @ $true @ $false)|((c_not @ $false)|(c_not @ $true))|(epred8_2 @ X926 @ X925)))))&((((~(X925 @ (X926 @ (X926 @ (X926 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X925 @ (X926 @ (X926 @ (X926 @ (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)|(epred8_2 @ X926 @ X925))&(~(c_not @ $false)|(X925 @ (X926 @ (X926 @ (X926 @ (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)|(epred8_2 @ X926 @ X925)))&((~(X925 @ (X926 @ (X926 @ (X926 @ (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)|(epred8_2 @ X926 @ X925))&(~(c_not @ $false)|~(c_not @ $true)|~(c_and @ $true @ $true)|(epred8_2 @ X926 @ X925))))&(~(c_and @ $true @ $false)|~(c_and @ $true @ $true)|(epred8_2 @ X926 @ X925))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])])])).
89.06/18.59	thf(c_0_31, plain, ![X2:$i > $i, X1:$i > $o]:(((epred8_2 @ X2 @ X1)|(epred7_0))), inference(split_conjunct,[status(thm)],[c_0_16])).
89.06/18.59	thf(c_0_32, plain, ![X2:$i > $i, X1:$i > $o]:(((c_not @ (($true)))|(c_and @ (~($true)) @ (~($true)))|(epred4_3 @ (esk67_2 @ X1 @ X2) @ X2 @ X1)|(c_In @ (esk66_2 @ X1 @ X2) @ c_Empty)|~((X1 @ (X2 @ (X2 @ (X2 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|~((epred9_2 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_25])).
89.06/18.59	thf(c_0_33, plain, ![X2:$i > $i, X1:$i > $o]:((epred9_2 @ X2 @ X1)), inference(sr,[status(thm)],[c_0_26, c_0_22])).
89.06/18.59	thf(c_0_34, plain, ![X3:$i]:(~((c_In @ X3 @ c_Empty))), inference(sr,[status(thm)],[c_0_27, c_0_28])).
89.06/18.59	thf(c_0_35, plain, ![X31:$o]:(~((c_and @ ((X31)) @ (~($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_29])])])).
89.06/18.59	thf(c_0_36, plain, ![X2:$i > $i, X1:$i > $o]:(((c_not @ (($true)))|(c_and @ (~($true)) @ (~($true)))|(epred5_3 @ (esk67_2 @ X1 @ X2) @ X2 @ X1)|(c_In @ (esk66_2 @ X1 @ X2) @ c_Empty)|~((X1 @ (X2 @ (X2 @ (X2 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|~((epred9_2 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_25])).
89.06/18.59	thf(c_0_37, plain, ![X3:$i, X2:$i > $i, X1:$i > $o]:(((c_not @ (($true)))|(c_and @ (($true)) @ (~($true)))|~((X1 @ (X2 @ (X2 @ (X2 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|~((epred4_3 @ X3 @ X2 @ X1))|~((epred5_3 @ X3 @ X2 @ X1))|~((epred8_2 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_30])).
89.06/18.59	thf(c_0_38, plain, ![X2:$i > $i, X1:$i > $o]:((epred8_2 @ X2 @ X1)), inference(sr,[status(thm)],[c_0_31, c_0_22])).
89.06/18.59	thf(c_0_39, plain, ![X2:$i > $i, X1:$i > $o]:(((X1 @ (X2 @ (X2 @ (X2 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(c_and @ (~($true)) @ (($true)))|(epred4_3 @ (esk67_2 @ X1 @ X2) @ X2 @ X1)|(c_In @ (esk66_2 @ X1 @ X2) @ c_Empty)|~((c_not @ (~($true))))|~((epred9_2 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_25])).
89.06/18.59	thf(c_0_40, plain, ![X31:$o]:(~((c_and @ (~($true)) @ ((X31))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_29])])])).
89.06/18.59	thf(c_0_41, plain, ![X1:$i > $o, X2:$i > $i]:(((epred4_3 @ (esk67_2 @ X1 @ X2) @ X2 @ X1)|~((X1 @ (X2 @ (X2 @ (X2 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])]), c_0_34]), c_0_35]), c_0_28])).
89.06/18.59	thf(c_0_42, plain, ![X2:$i > $i, X1:$i > $o]:(((X1 @ (X2 @ (X2 @ (X2 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(c_and @ (~($true)) @ (($true)))|(epred5_3 @ (esk67_2 @ X1 @ X2) @ X2 @ X1)|(c_In @ (esk66_2 @ X1 @ X2) @ c_Empty)|~((c_not @ (~($true))))|~((epred9_2 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_25])).
89.06/18.59	thf(c_0_43, plain, ![X1:$i > $o, X2:$i > $i]:(((epred5_3 @ (esk67_2 @ X1 @ X2) @ X2 @ X1)|~((X1 @ (X2 @ (X2 @ (X2 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_33])]), c_0_34]), c_0_35]), c_0_28])).
89.06/18.59	thf(c_0_44, plain, ![X3:$i, X2:$i > $i, X1:$i > $o]:((~((X1 @ (X2 @ (X2 @ (X2 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|~((epred4_3 @ X3 @ X2 @ X1))|~((epred5_3 @ X3 @ X2 @ X1)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])]), c_0_35]), c_0_28])).
89.06/18.59	thf(c_0_45, plain, ![X2:$i > $i, X1:$i > $o]:((epred4_3 @ (esk67_2 @ X1 @ X2) @ X2 @ X1)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_18]), c_0_33])]), c_0_34]), c_0_40]), c_0_41])).
89.06/18.59	thf(c_0_46, plain, ![X2:$i > $i, X1:$i > $o]:((epred5_3 @ (esk67_2 @ X1 @ X2) @ X2 @ X1)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_18]), c_0_33])]), c_0_34]), c_0_40]), c_0_43])).
89.06/18.59	thf(c_0_47, plain, ($false), inference(flex_resolve,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])])]), ['proof']).
89.06/18.59	# SZS output end CNFRefutation
89.06/18.59	# Parsed axioms                        : 213
89.06/18.59	# Removed by relevancy pruning/SinE    : 0
89.06/18.59	# Initial clauses                      : 469172
89.06/18.59	# Removed in clause preprocessing      : 464072
89.06/18.59	# Initial clauses in saturation        : 5100
89.06/18.59	# Processed clauses                    : 9678
89.06/18.59	# ...of these trivial                  : 439
89.06/18.59	# ...subsumed                          : 4600
89.06/18.59	# ...remaining for further processing  : 4638
89.06/18.59	# Other redundant clauses eliminated   : 163
89.06/18.59	# Clauses deleted for lack of memory   : 0
89.06/18.59	# Backward-subsumed                    : 207
89.06/18.59	# Backward-rewritten                   : 119
89.06/18.59	# Generated clauses                    : 98012
89.06/18.59	# ...of the previous two non-redundant : 95833
89.06/18.59	# ...aggressively subsumed             : 0
89.06/18.59	# Contextual simplify-reflections      : 358
89.06/18.59	# Paramodulations                      : 97833
89.06/18.59	# Factorizations                       : 0
89.06/18.59	# NegExts                              : 0
89.06/18.59	# Equation resolutions                 : 163
89.06/18.59	# Disequality decompositions           : 0
89.06/18.59	# Total rewrite steps                  : 9377
89.06/18.59	# ...of those cached                   : 8423
89.06/18.59	# Propositional unsat checks           : 0
89.06/18.59	#    Propositional check models        : 0
89.06/18.59	#    Propositional check unsatisfiable : 0
89.06/18.59	#    Propositional clauses             : 0
89.06/18.59	#    Propositional clauses after purity: 0
89.06/18.59	#    Propositional unsat core size     : 0
89.06/18.59	#    Propositional preprocessing time  : 0.000
89.06/18.59	#    Propositional encoding time       : 0.000
89.06/18.59	#    Propositional solver time         : 0.000
89.06/18.59	#    Success case prop preproc time    : 0.000
89.06/18.59	#    Success case prop encoding time   : 0.000
89.06/18.59	#    Success case prop solver time     : 0.000
89.06/18.59	# Current number of processed clauses  : 2987
89.06/18.59	#    Positive orientable unit clauses  : 258
89.06/18.59	#    Positive unorientable unit clauses: 30
89.06/18.59	#    Negative unit clauses             : 225
89.06/18.59	#    Non-unit-clauses                  : 2474
89.06/18.59	# Current number of unprocessed clauses: 92348
89.06/18.59	# ...number of literals in the above   : 393994
89.06/18.59	# Current number of archived formulas  : 0
89.06/18.59	# Current number of archived clauses   : 1593
89.06/18.59	# Clause-clause subsumption calls (NU) : 2397403
89.06/18.59	# Rec. Clause-clause subsumption calls : 878344
89.06/18.59	# Non-unit clause-clause subsumptions  : 2381
89.06/18.59	# Unit Clause-clause subsumption calls : 74593
89.06/18.59	# Rewrite failures with RHS unbound    : 0
89.06/18.59	# BW rewrite match attempts            : 222
89.06/18.59	# BW rewrite match successes           : 55
89.06/18.59	# Condensation attempts                : 9895
89.06/18.59	# Condensation successes               : 314
89.06/18.59	# Termbank termtop insertions          : 22110687
89.06/18.59	# Search garbage collected termcells   : 2015226
89.06/18.59	
89.06/18.59	# -------------------------------------------------
89.06/18.59	# User time                : 16.285 s
89.06/18.59	# System time              : 1.163 s
89.06/18.59	# Total time               : 17.448 s
89.06/18.59	# Maximum resident set size: 1256264 pages
89.06/18.59	
89.06/18.59	# -------------------------------------------------
89.06/18.59	# User time                : 16.293 s
89.06/18.59	# System time              : 1.262 s
89.06/18.59	# Total time               : 17.555 s
89.06/18.59	# Maximum resident set size: 2328 pages
89.06/18.59	% E exiting
89.06/18.59	% E exiting
89.06/18.59	EOF