0.00/0.04	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.07	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.19/0.45	% Computer : n013.cluster.edu
0.19/0.45	% Model    : x86_64 x86_64
0.19/0.45	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.19/0.45	% Memory   : 8046.5625MB
0.19/0.45	% OS       : Linux 6.8.0-71-generic
0.19/0.45	% CPULimit : 1440
0.19/0.45	% WCLimit  : 180
0.19/0.45	% DateTime : Mon Jul 27 14:18:24 UTC 2026
0.19/0.45	% CPUTime  : 
0.19/0.45	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.27/0.52	Running higher-order theorem proving
0.27/0.57	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.Bt8DZzkKMV/E---3.1_1521063.p
120.92/61.59	% Version: 3.5.1-ho
120.92/61.59	% partial match(1): HSLMSMSSSSLCHSA
120.92/61.59	% Preprocessing class: HSLMSLSSSSLCHSA.
120.92/61.59	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
120.92/61.59	% Starting pre_casc_6 with 900s (5) cores
120.92/61.59	% Starting ehoh_best7 with 180s (1) cores
120.92/61.59	% Starting new_bool_8 with 180s (1) cores
120.92/61.59	% Starting new_ho_11 with 180s (1) cores
120.92/61.59	% ehoh_best7 with pid 1521077 completed with status 0
120.92/61.59	% Result found by ehoh_best7
120.92/61.59	% partial match(1): HSLMSMSSSSLCHSA
120.92/61.59	% Preprocessing class: HSLMSLSSSSLCHSA.
120.92/61.59	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
120.92/61.59	% Starting pre_casc_6 with 900s (5) cores
120.92/61.59	% Starting ehoh_best7 with 180s (1) cores
120.92/61.59	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
120.92/61.59	% No SInE strategy applied
120.92/61.59	% Search class: HGHSM-SMLM33-DHSFFSBC
120.92/61.59	% partial match(1): HGHSM-SMLM32-DHSFFSBC
120.92/61.59	% Scheduled 7 strats onto 1 cores with 140 seconds (140 total)
120.92/61.59	% Starting SubtermCWHack with 13s (1) cores
120.92/61.59	% SubtermCWHack with pid 1521089 completed with status 8
120.92/61.59	% Starting ehoh_best7 with 15s (1) cores
120.92/61.59	% ehoh_best7 with pid 1521092 completed with status 0
120.92/61.59	% Result found by ehoh_best7
120.92/61.59	% partial match(1): HSLMSMSSSSLCHSA
120.92/61.59	% Preprocessing class: HSLMSLSSSSLCHSA.
120.92/61.59	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
120.92/61.59	% Starting pre_casc_6 with 900s (5) cores
120.92/61.59	% Starting ehoh_best7 with 180s (1) cores
120.92/61.59	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
120.92/61.59	% No SInE strategy applied
120.92/61.59	% Search class: HGHSM-SMLM33-DHSFFSBC
120.92/61.59	% partial match(1): HGHSM-SMLM32-DHSFFSBC
120.92/61.59	% Scheduled 7 strats onto 1 cores with 140 seconds (140 total)
120.92/61.59	% Starting SubtermCWHack with 13s (1) cores
120.92/61.59	% SubtermCWHack with pid 1521089 completed with status 8
120.92/61.59	% Starting ehoh_best7 with 15s (1) cores
120.92/61.59	% Preprocessing time       : 0.325 s
120.92/61.59	% Presaturation interreduction done
120.92/61.59	
120.92/61.59	% Proof found!
120.92/61.59	% SZS status Theorem
120.92/61.59	% SZS output start CNFRefutation
120.92/61.59	thf(decl_24, type, c_False: $o).
120.92/61.59	thf(decl_26, type, c_not: $o > $o).
120.92/61.59	thf(decl_27, type, c_and: $o > $o > $o).
120.92/61.59	thf(decl_30, type, c_In: $i > $i > $o).
120.92/61.59	thf(decl_31, type, c_Subq: $i > $i > $o).
120.92/61.59	thf(decl_32, type, c_Empty: $i).
120.92/61.59	thf(decl_34, type, c_Power: $i > $i).
120.92/61.59	thf(decl_36, type, c_TransSet: $i > $o).
120.92/61.59	thf(decl_42, type, c_exactly2: $i > $o).
120.92/61.59	thf(decl_72, type, c_binintersect: $i > $i > $i).
120.92/61.59	thf(decl_80, type, c_ordsucc: $i > $i).
120.92/61.59	thf(decl_94, type, c_binrep: $i > $i > $i).
120.92/61.59	thf(decl_96, type, c_setprod: $i > $i > $i).
120.92/61.59	thf(decl_114, type, c_SNo: $i > $o).
120.92/61.59	thf(decl_234, type, epred108_2: ($i > $i) > $i > $o).
120.92/61.59	thf(decl_237, type, epred111_3: $i > ($i > $o) > ($i > $i) > $o).
120.92/61.59	thf(decl_238, type, epred112_3: $i > ($i > $o) > ($i > $i) > $o).
120.92/61.59	thf(decl_240, type, epred114_0: $o).
120.92/61.59	thf(decl_241, type, epred115_2: ($i > $i) > ($i > $o) > $o).
120.92/61.59	thf(decl_242, type, epred116_2: ($i > $i) > ($i > $o) > $o).
120.92/61.59	thf(decl_288, type, esk9_0: $i).
120.92/61.59	thf(decl_294, type, epred155_0: $o).
120.92/61.59	thf(decl_318, type, esk36_2: $i > $i > $i).
120.92/61.59	thf(decl_328, type, epred157_0: $i > $o).
120.92/61.59	thf(decl_329, type, esk46_0: $i > $i).
120.92/61.59	thf(decl_330, type, epred158_2: $o > $o > $o).
120.92/61.59	thf(decl_471, type, esk184_2: ($i > $o) > ($i > $i) > $i).
120.92/61.59	thf(decl_472, type, esk185_2: ($i > $o) > ($i > $i) > $i).
120.92/61.59	thf(decl_473, type, esk186_2: ($i > $o) > ($i > $i) > $i).
120.92/61.59	thf(decl_474, type, esk187_2: ($i > $o) > ($i > $i) > $i).
120.92/61.59	thf(decl_528, type, esk232_0: ($i > $i) > $i > $i).
120.92/61.59	thf(conj, conjecture, (c_not @ (![X157:$i > $o, X158:$i > $i]:((c_and @ (((?[X3:$i]:((c_and @ (?[X5:$i]:((c_and @ ((c_Subq @ X5 @ X3)) @ (((((X3)=(X158 @ X3)))=>(?[X14:$i]:((c_and @ ((c_Subq @ X14 @ X3)) @ ((c_not @ ((X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))))))))))))) @ ((c_not @ ((c_SNo @ X3)))))))<=(((((![X3:$i]:(((?[X5:$i]:((c_and @ ((c_Subq @ X5 @ X3)) @ ((c_exactly2 @ (c_ordsucc @ (X158 @ X5)))))))<=((c_In @ X3 @ c_Empty)))))<=((c_TransSet @ (X158 @ c_Empty)))))<=((X157 @ (X158 @ (c_binintersect @ (X158 @ (c_Power @ c_Empty)) @ (X158 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))))))) @ ((c_not @ ((X157 @ (X158 @ (X158 @ (X158 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Bt8DZzkKMV/E---3.1_1521063.p', conj)).
120.92/61.59	thf(ax13, axiom, ((c_not)=(^[X23:$o]:((((X23))=>((c_False)))))), file('/export/starexec/sandbox2/tmp/tmp.Bt8DZzkKMV/E---3.1_1521063.p', ax13)).
120.92/61.59	thf(ax5, axiom, (c_not @ (?[X64:$i]:((c_In @ X64 @ c_Empty)))), file('/export/starexec/sandbox2/tmp/tmp.Bt8DZzkKMV/E---3.1_1521063.p', ax5)).
120.92/61.59	thf(ax11, axiom, ((c_False)<=>![X83:$o]:((X83))), file('/export/starexec/sandbox2/tmp/tmp.Bt8DZzkKMV/E---3.1_1521063.p', ax11)).
120.92/61.59	thf(ax14, axiom, ((c_and)=(^[X159:$o, X160:$o]:(![X161:$o]:((((X161))<=((((X159))=>((((X161))<=((X160))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Bt8DZzkKMV/E---3.1_1521063.p', ax14)).
120.92/61.59	thf(ax17, axiom, ((c_Subq)=(^[X144:$i, X2:$i]:(![X3:$i]:((((c_In @ X3 @ X144))=>((c_In @ X3 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Bt8DZzkKMV/E---3.1_1521063.p', ax17)).
120.92/61.59	thf(c_0_6, negated_conjecture, ~((c_not @ (![X157:$i > $o, X158:$i > $i]:((c_and @ (((?[X3:$i]:((c_and @ (?[X5:$i]:((c_and @ ((c_Subq @ X5 @ X3)) @ (((((X3)=(X158 @ X3)))=>(?[X14:$i]:((c_and @ ((c_Subq @ X14 @ X3)) @ ((c_not @ ((X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))))))))))))) @ ((c_not @ ((c_SNo @ X3)))))))<=(((((![X3:$i]:(((?[X5:$i]:((c_and @ ((c_Subq @ X5 @ X3)) @ ((c_exactly2 @ (c_ordsucc @ (X158 @ X5)))))))<=((c_In @ X3 @ c_Empty)))))<=((c_TransSet @ (X158 @ c_Empty)))))<=((X157 @ (X158 @ (c_binintersect @ (X158 @ (c_Power @ c_Empty)) @ (X158 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))))))) @ ((c_not @ ((X157 @ (X158 @ (X158 @ (X158 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))))))), inference(assume_negation,[status(cth)],[conj])).
120.92/61.59	thf(c_0_7, plain, ((epred114_0)<=>(~(![X157:$i > $o, X158:$i > $i]:(((~((((X157 @ (X158 @ (c_binintersect @ (X158 @ (c_Power @ c_Empty)) @ (X158 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))=>((c_TransSet @ (X158 @ c_Empty))=>![X3:$i]:(((c_In @ X3 @ c_Empty)=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((~(c_exactly2 @ (c_ordsucc @ (X158 @ X5)))|(c_and @ $true @ $true))&((c_exactly2 @ (c_ordsucc @ (X158 @ X5)))|(c_and @ $true @ $false))))&((c_Subq @ X5 @ X3)|((~(c_exactly2 @ (c_ordsucc @ (X158 @ X5)))|(c_and @ $false @ $true))&((c_exactly2 @ (c_ordsucc @ (X158 @ X5)))|(c_and @ $false @ $false))))))))))=>?[X3:$i]:(((~(?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((~((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $true))&((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $false))))&((c_Subq @ X5 @ X3)|((~((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $true))&((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $false))))&(?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((~((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ 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c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $true))&((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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)))))))|((((~(X157 @ (X158 @ (X158 @ (X158 @ (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))&((X157 @ (X158 @ (X158 @ (X158 @ (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))&(((~(X157 @ (X158 @ (X158 @ (X158 @ (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))&((X157 @ (X158 @ (X158 @ (X158 @ (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 @ $false)))))), introduced(definition)).
120.92/61.59	thf(c_0_10, plain, ![X244:$o]:(((c_not @ ((X244)))<=>((X244)=>(c_False)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])])).
120.92/61.59	thf(c_0_11, plain, ![X3:$i, X158:$i > $i]:(((epred108_2 @ X158 @ X3)<=>?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((~(c_exactly2 @ (c_ordsucc @ (X158 @ X5)))|(c_and @ $true @ $true))&((c_exactly2 @ (c_ordsucc @ (X158 @ X5)))|(c_and @ $true @ $false))))&((c_Subq @ X5 @ X3)|((~(c_exactly2 @ (c_ordsucc @ (X158 @ X5)))|(c_and @ $false @ $true))&((c_exactly2 @ (c_ordsucc @ (X158 @ X5)))|(c_and @ $false @ $false)))))))), introduced(definition)).
120.92/61.59	thf(c_0_12, plain, ![X158:$i > $i, X157:$i > $o, X3:$i]:(((epred111_3 @ X3 @ X157 @ X158)<=>(~(?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((~((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $true))&((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $false))))&((c_Subq @ X5 @ X3)|((~((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $true))&((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $false)))))), introduced(definition)).
120.92/61.59	thf(c_0_13, plain, ![X158:$i > $i, X157:$i > $o, X3:$i]:(((epred112_3 @ X3 @ X157 @ X158)<=>(?[X5:$i]:(((~(c_Subq @ X5 @ X3)|((~((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $true))&((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $false))))&((c_Subq @ X5 @ X3)|((~((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $true))&((((X3)=(X158 @ X3))=>?[X14:$i]:(((~(c_Subq @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ X14 @ X3)|((((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|~(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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))&(((~(X157 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))|(c_not @ $true))&((X157 @ (c_setprod @ X5 @ (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 @ $false)))))), introduced(definition)).
120.92/61.59	thf(c_0_14, negated_conjecture, ~(((epred114_0)&(![X157:$i > $o, X158:$i > $i]:(((epred115_2 @ X158 @ X157)&(epred116_2 @ X158 @ X157)))|(c_not @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_6])]), c_0_7]), c_0_8]), c_0_9])).
120.92/61.59	thf(c_0_15, axiom, ((~(?[X64:$i]:((c_In @ X64 @ c_Empty)))|(c_not @ $true))&(?[X64:$i]:((c_In @ X64 @ c_Empty))|(c_not @ $false))), inference(fool_unroll,[status(thm)],[ax5])).
120.92/61.59	thf(c_0_16, plain, ![X468:$o]:(((~(c_not @ ((X468)))|(~(X468)|(c_False)))&(((X468)|(c_not @ ((X468))))&(~(c_False)|(c_not @ ((X468))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])).
120.92/61.59	thf(c_0_17, plain, ![X573:$o]:(((~(c_False)|(X573))&(~(epred155_0)|(c_False)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])])])])])).
120.92/61.59	thf(c_0_18, plain, ![X157:$i > $o, X158:$i > $i]:(((epred115_2 @ X158 @ X157)<=>(~((((X157 @ (X158 @ (c_binintersect @ (X158 @ (c_Power @ c_Empty)) @ (X158 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))=>((c_TransSet @ (X158 @ c_Empty))=>![X3:$i]:(((c_In @ X3 @ c_Empty)=>(epred108_2 @ X158 @ X3)))))=>?[X3:$i]:(((epred111_3 @ X3 @ X157 @ X158)&(epred112_3 @ X3 @ X157 @ X158)))))|((((~(X157 @ (X158 @ (X158 @ (X158 @ (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))&((X157 @ (X158 @ (X158 @ (X158 @ (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))&(((~(X157 @ (X158 @ (X158 @ (X158 @ (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))&((X157 @ (X158 @ (X158 @ (X158 @ (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 @ $false)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8, c_0_11]), c_0_12]), c_0_13])).
120.92/61.59	thf(c_0_19, plain, ![X391:$o, X392:$o]:(((c_and @ ((X391)) @ ((X392)))<=>![X161:$o]:((((X391)=>((X392)=>(X161)))=>(X161))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])])])).
120.92/61.59	thf(c_0_20, plain, ((~(![X157:$i > $o, X158:$i > $i]:(((epred115_2 @ X158 @ X157)&(epred116_2 @ X158 @ X157))))|(c_not @ $true))=>(epred114_0)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_7]), c_0_8]), c_0_9])).
120.92/61.59	thf(c_0_21, negated_conjecture, ((~(epred115_2 @ esk46_0 @ epred157_0)|~(epred116_2 @ esk46_0 @ epred157_0)|~(epred114_0))&(~(c_not @ $false)|~(epred114_0))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])])).
120.92/61.59	thf(c_0_22, plain, ![X157:$i > $o, X158:$i > $i]:(((epred116_2 @ X158 @ X157)<=>((((X157 @ (X158 @ (c_binintersect @ (X158 @ (c_Power @ c_Empty)) @ (X158 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))=>((c_TransSet @ (X158 @ c_Empty))=>![X3:$i]:(((c_In @ X3 @ c_Empty)=>(epred108_2 @ X158 @ X3)))))=>?[X3:$i]:(((epred111_3 @ X3 @ X157 @ X158)&(epred112_3 @ X3 @ X157 @ X158))))|((((~(X157 @ (X158 @ (X158 @ (X158 @ (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))&((X157 @ (X158 @ (X158 @ (X158 @ (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))&(((~(X157 @ (X158 @ (X158 @ (X158 @ (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))&((X157 @ (X158 @ (X158 @ (X158 @ (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 @ $false)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9, c_0_11]), c_0_12]), c_0_13])).
120.92/61.59	thf(c_0_23, plain, ![X533:$i]:(((~(c_In @ X533 @ c_Empty)|(c_not @ $true))&((c_In @ esk9_0 @ c_Empty)|(c_not @ $false)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])).
120.92/61.59	thf(c_0_24, plain, ((c_False)|~((c_not @ (($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_16])])])).
120.92/61.59	thf(c_0_25, plain, ~((c_False)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_17])])])).
120.92/61.59	thf(c_0_26, plain, ![X1636:$i > $o, X1637:$i > $i, X1638:$i, X1639:$i, X1640:$i > $o, X1641:$i > $i]:((((((~(X1636 @ (X1637 @ (X1637 @ (X1637 @ (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)|(~(X1636 @ (X1637 @ (c_binintersect @ (X1637 @ (c_Power @ c_Empty)) @ (X1637 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(~(c_TransSet @ (X1637 @ c_Empty))|(~(c_In @ X1638 @ c_Empty)|(epred108_2 @ X1637 @ X1638))))|~(epred115_2 @ X1637 @ X1636))&((X1636 @ (X1637 @ (X1637 @ (X1637 @ (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)|(~(X1636 @ (X1637 @ (c_binintersect @ (X1637 @ (c_Power @ c_Empty)) @ (X1637 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(~(c_TransSet @ (X1637 @ c_Empty))|(~(c_In @ X1638 @ c_Empty)|(epred108_2 @ X1637 @ X1638))))|~(epred115_2 @ X1637 @ X1636)))&((~(X1636 @ (X1637 @ (X1637 @ (X1637 @ (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)|(~(X1636 @ (X1637 @ (c_binintersect @ (X1637 @ (c_Power @ c_Empty)) @ (X1637 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(~(c_TransSet @ (X1637 @ c_Empty))|(~(c_In @ X1638 @ c_Empty)|(epred108_2 @ X1637 @ X1638))))|~(epred115_2 @ X1637 @ X1636))&((X1636 @ (X1637 @ (X1637 @ (X1637 @ (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)|(~(X1636 @ (X1637 @ (c_binintersect @ (X1637 @ (c_Power @ c_Empty)) @ (X1637 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(~(c_TransSet @ (X1637 @ c_Empty))|(~(c_In @ X1638 @ c_Empty)|(epred108_2 @ X1637 @ X1638))))|~(epred115_2 @ X1637 @ X1636))))&(((~(X1636 @ (X1637 @ (X1637 @ (X1637 @ (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)|(~(epred111_3 @ X1639 @ X1636 @ X1637)|~(epred112_3 @ X1639 @ X1636 @ X1637))|~(epred115_2 @ X1637 @ X1636))&((X1636 @ (X1637 @ (X1637 @ (X1637 @ (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)|(~(epred111_3 @ X1639 @ X1636 @ X1637)|~(epred112_3 @ X1639 @ X1636 @ X1637))|~(epred115_2 @ X1637 @ X1636)))&((~(X1636 @ (X1637 @ (X1637 @ (X1637 @ (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)|(~(epred111_3 @ X1639 @ X1636 @ X1637)|~(epred112_3 @ X1639 @ X1636 @ X1637))|~(epred115_2 @ X1637 @ X1636))&((X1636 @ (X1637 @ (X1637 @ (X1637 @ (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)|(~(epred111_3 @ X1639 @ X1636 @ X1637)|~(epred112_3 @ X1639 @ X1636 @ X1637))|~(epred115_2 @ X1637 @ X1636)))))&(((((epred111_3 @ (esk185_2 @ X1640 @ X1641) @ X1640 @ X1641)|(X1640 @ (X1641 @ (c_binintersect @ (X1641 @ (c_Power @ c_Empty)) @ (X1641 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(epred115_2 @ X1641 @ X1640))&((epred112_3 @ (esk185_2 @ X1640 @ X1641) @ X1640 @ X1641)|(X1640 @ (X1641 @ (c_binintersect @ (X1641 @ (c_Power @ c_Empty)) @ (X1641 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(epred115_2 @ X1641 @ X1640)))&((((epred111_3 @ (esk185_2 @ X1640 @ X1641) @ X1640 @ X1641)|(c_TransSet @ (X1641 @ c_Empty))|(epred115_2 @ X1641 @ X1640))&((epred112_3 @ (esk185_2 @ X1640 @ X1641) @ X1640 @ X1641)|(c_TransSet @ (X1641 @ c_Empty))|(epred115_2 @ X1641 @ X1640)))&((((epred111_3 @ (esk185_2 @ X1640 @ X1641) @ X1640 @ X1641)|(c_In @ (esk184_2 @ X1640 @ X1641) @ c_Empty)|(epred115_2 @ X1641 @ X1640))&((epred112_3 @ (esk185_2 @ X1640 @ X1641) @ X1640 @ X1641)|(c_In @ (esk184_2 @ X1640 @ X1641) @ c_Empty)|(epred115_2 @ X1641 @ X1640)))&(((epred111_3 @ (esk185_2 @ X1640 @ X1641) @ X1640 @ X1641)|~(epred108_2 @ X1641 @ (esk184_2 @ X1640 @ X1641))|(epred115_2 @ X1641 @ X1640))&((epred112_3 @ (esk185_2 @ X1640 @ X1641) @ X1640 @ X1641)|~(epred108_2 @ X1641 @ (esk184_2 @ X1640 @ X1641))|(epred115_2 @ X1641 @ X1640))))))&(((((((~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred115_2 @ X1641 @ X1640))&(~(c_not @ $false)|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred115_2 @ X1641 @ X1640)))&((~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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)|(~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred115_2 @ X1641 @ X1640))&(~(c_not @ $false)|~(c_not @ $true)|(~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred115_2 @ X1641 @ X1640))))&(~(c_and @ $true @ $false)|(~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred115_2 @ X1641 @ X1640)))&((((~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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)|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred115_2 @ X1641 @ X1640))&(~(c_not @ $false)|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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)|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred115_2 @ X1641 @ X1640)))&((~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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)|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred115_2 @ X1641 @ X1640))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred115_2 @ X1641 @ X1640))))&(~(c_and @ $true @ $false)|((c_not @ $false)|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred115_2 @ X1641 @ X1640))))&(((((~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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))|(epred115_2 @ X1641 @ X1640))&(~(c_not @ $false)|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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))|(epred115_2 @ X1641 @ X1640)))&((~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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)|(~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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))|(epred115_2 @ X1641 @ X1640))&(~(c_not @ $false)|~(c_not @ $true)|(~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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))|(epred115_2 @ X1641 @ X1640))))&(~(c_and @ $true @ $false)|(~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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))|(epred115_2 @ X1641 @ X1640)))&((((~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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))|(epred115_2 @ X1641 @ X1640))&(~(c_not @ $false)|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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))|(epred115_2 @ X1641 @ X1640)))&((~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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))|(epred115_2 @ X1641 @ X1640))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(c_not @ $true))|(epred115_2 @ X1641 @ X1640))))&(~(c_and @ $true @ $false)|((c_not @ $false)|(c_not @ $true))|(epred115_2 @ X1641 @ X1640)))))&((((~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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)|(epred115_2 @ X1641 @ X1640))&(~(c_not @ $false)|(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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)|(epred115_2 @ X1641 @ X1640)))&((~(X1640 @ (X1641 @ (X1641 @ (X1641 @ (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)|(epred115_2 @ X1641 @ X1640))&(~(c_not @ $false)|~(c_not @ $true)|~(c_and @ $true @ $true)|(epred115_2 @ X1641 @ X1640))))&(~(c_and @ $true @ $false)|~(c_and @ $true @ $true)|(epred115_2 @ X1641 @ X1640))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])])])).
120.92/61.59	thf(c_0_27, plain, ![X2048:$i, X2049:$i > $i]:(((esk232_0 @ X2049 @ X2048)=(c_Power @ (X2049 @ X2048)))), inference(variable_rename,[status(thm)],[])).
120.92/61.59	thf(c_0_28, plain, ![X737:$o, X738:$o, X739:$o, X740:$o, X741:$o]:(((((X737)|(X739)|~(c_and @ ((X737)) @ ((X738))))&(((X738)|(X739)|~(c_and @ ((X737)) @ ((X738))))&(~(X739)|(X739)|~(c_and @ ((X737)) @ ((X738))))))&((~(X740)|(~(X741)|(epred158_2 @ X740 @ X741))|(c_and @ ((X740)) @ ((X741))))&(~(epred158_2 @ X740 @ X741)|(c_and @ ((X740)) @ ((X741))))))), 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])])])])])])])).
120.92/61.59	thf(c_0_29, plain, ![X1634:$i > $o, X1635:$i > $i]:(((((epred115_2 @ X1635 @ X1634)|(epred114_0))&((epred116_2 @ X1635 @ X1634)|(epred114_0)))&(~(c_not @ $true)|(epred114_0)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])])).
120.92/61.59	thf(c_0_30, negated_conjecture, (~((c_not @ (~($true))))|~((epred114_0))), inference(split_conjunct,[status(thm)],[c_0_21])).
120.92/61.59	thf(c_0_31, plain, (c_not @ (~($true))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_16])])])).
120.92/61.59	thf(c_0_32, plain, ![X380:$i, X381:$i]:(((c_Subq @ X380 @ X381)<=>![X3:$i]:(((c_In @ X3 @ X380)=>(c_In @ X3 @ X381))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax17])])).
120.92/61.59	thf(c_0_33, plain, ![X1644:$i > $o, X1645:$i > $i, X1648:$i > $o, X1649:$i > $i, X1650:$i, X1651:$i]:(((((((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(X1644 @ (X1645 @ (c_binintersect @ (X1645 @ (c_Power @ c_Empty)) @ (X1645 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(X1644 @ (X1645 @ (c_binintersect @ (X1645 @ (c_Power @ c_Empty)) @ (X1645 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred116_2 @ X1645 @ X1644)))&((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(X1644 @ (X1645 @ (c_binintersect @ (X1645 @ (c_Power @ c_Empty)) @ (X1645 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(X1644 @ (X1645 @ (c_binintersect @ (X1645 @ (c_Power @ c_Empty)) @ (X1645 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred116_2 @ X1645 @ X1644))))&(((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(X1644 @ (X1645 @ (c_binintersect @ (X1645 @ (c_Power @ c_Empty)) @ (X1645 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(X1644 @ (X1645 @ (c_binintersect @ (X1645 @ (c_Power @ c_Empty)) @ (X1645 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred116_2 @ X1645 @ X1644)))&((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(X1644 @ (X1645 @ (c_binintersect @ (X1645 @ (c_Power @ c_Empty)) @ (X1645 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(X1644 @ (X1645 @ (c_binintersect @ (X1645 @ (c_Power @ c_Empty)) @ (X1645 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))))|~(epred116_2 @ X1645 @ X1644)))))&(((((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_TransSet @ (X1645 @ c_Empty)))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_TransSet @ (X1645 @ c_Empty)))|~(epred116_2 @ X1645 @ X1644)))&((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_TransSet @ (X1645 @ c_Empty)))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_TransSet @ (X1645 @ c_Empty)))|~(epred116_2 @ X1645 @ X1644))))&(((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_TransSet @ (X1645 @ c_Empty)))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_TransSet @ (X1645 @ c_Empty)))|~(epred116_2 @ X1645 @ X1644)))&((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_TransSet @ (X1645 @ c_Empty)))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_TransSet @ (X1645 @ c_Empty)))|~(epred116_2 @ X1645 @ X1644)))))&(((((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_In @ (esk186_2 @ X1644 @ X1645) @ c_Empty))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_In @ (esk186_2 @ X1644 @ X1645) @ c_Empty))|~(epred116_2 @ X1645 @ X1644)))&((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_In @ (esk186_2 @ X1644 @ X1645) @ c_Empty))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_In @ (esk186_2 @ X1644 @ X1645) @ c_Empty))|~(epred116_2 @ X1645 @ X1644))))&(((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_In @ (esk186_2 @ X1644 @ X1645) @ c_Empty))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_In @ (esk186_2 @ X1644 @ X1645) @ c_Empty))|~(epred116_2 @ X1645 @ X1644)))&((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_In @ (esk186_2 @ X1644 @ X1645) @ c_Empty))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|(c_In @ (esk186_2 @ X1644 @ X1645) @ c_Empty))|~(epred116_2 @ X1645 @ X1644)))))&((((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|~(epred108_2 @ X1645 @ (esk186_2 @ X1644 @ X1645)))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|~(epred108_2 @ X1645 @ (esk186_2 @ X1644 @ X1645)))|~(epred116_2 @ X1645 @ X1644)))&((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|~(epred108_2 @ X1645 @ (esk186_2 @ X1644 @ X1645)))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred111_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|~(epred108_2 @ X1645 @ (esk186_2 @ X1644 @ X1645)))|~(epred116_2 @ X1645 @ X1644))))&(((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|~(epred108_2 @ X1645 @ (esk186_2 @ X1644 @ X1645)))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|~(epred108_2 @ X1645 @ (esk186_2 @ X1644 @ X1645)))|~(epred116_2 @ X1645 @ X1644)))&((~(X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|~(epred108_2 @ X1645 @ (esk186_2 @ X1644 @ X1645)))|~(epred116_2 @ X1645 @ X1644))&((X1644 @ (X1645 @ (X1645 @ (X1645 @ (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)|((epred112_3 @ (esk187_2 @ X1644 @ X1645) @ X1644 @ X1645)|~(epred108_2 @ X1645 @ (esk186_2 @ X1644 @ X1645)))|~(epred116_2 @ X1645 @ X1644))))))))&(((~(X1648 @ (X1649 @ (c_binintersect @ (X1649 @ (c_Power @ c_Empty)) @ (X1649 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty)))))|(~(c_TransSet @ (X1649 @ c_Empty))|(~(c_In @ X1650 @ c_Empty)|(epred108_2 @ X1649 @ X1650)))|(epred116_2 @ X1649 @ X1648))&(~(epred111_3 @ X1651 @ X1648 @ X1649)|~(epred112_3 @ X1651 @ X1648 @ X1649)|(epred116_2 @ X1649 @ X1648)))&(((((((~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred116_2 @ X1649 @ X1648))&(~(c_not @ $false)|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred116_2 @ X1649 @ X1648)))&((~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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)|(~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred116_2 @ X1649 @ X1648))&(~(c_not @ $false)|~(c_not @ $true)|(~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred116_2 @ X1649 @ X1648))))&(~(c_and @ $false @ $false)|(~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred116_2 @ X1649 @ X1648)))&((((~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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)|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred116_2 @ X1649 @ X1648))&(~(c_not @ $false)|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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)|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred116_2 @ X1649 @ X1648)))&((~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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)|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred116_2 @ X1649 @ X1648))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred116_2 @ X1649 @ X1648))))&(~(c_and @ $false @ $false)|((c_not @ $false)|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|(epred116_2 @ X1649 @ X1648))))&(((((~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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))|(epred116_2 @ X1649 @ X1648))&(~(c_not @ $false)|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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))|(epred116_2 @ X1649 @ X1648)))&((~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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)|(~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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))|(epred116_2 @ X1649 @ X1648))&(~(c_not @ $false)|~(c_not @ $true)|(~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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))|(epred116_2 @ X1649 @ X1648))))&(~(c_and @ $false @ $false)|(~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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))|(epred116_2 @ X1649 @ X1648)))&((((~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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))|(epred116_2 @ X1649 @ X1648))&(~(c_not @ $false)|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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))|(epred116_2 @ X1649 @ X1648)))&((~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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))|(epred116_2 @ X1649 @ X1648))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(c_not @ $true))|(epred116_2 @ X1649 @ X1648))))&(~(c_and @ $false @ $false)|((c_not @ $false)|(c_not @ $true))|(epred116_2 @ X1649 @ X1648)))))&((((~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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)|(epred116_2 @ X1649 @ X1648))&(~(c_not @ $false)|(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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)|(epred116_2 @ X1649 @ X1648)))&((~(X1648 @ (X1649 @ (X1649 @ (X1649 @ (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)|(epred116_2 @ X1649 @ X1648))&(~(c_not @ $false)|~(c_not @ $true)|~(c_and @ $false @ $true)|(epred116_2 @ X1649 @ X1648))))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(epred116_2 @ X1649 @ X1648))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])])])])).
120.92/61.59	thf(c_0_34, plain, ![X2:$i]:(((c_not @ (($true)))|~((c_In @ X2 @ c_Empty)))), inference(split_conjunct,[status(thm)],[c_0_23])).
120.92/61.59	thf(c_0_35, plain, ~((c_not @ (($true)))), inference(sr,[status(thm)],[c_0_24, c_0_25])).
120.92/61.59	thf(c_0_36, plain, ![X2:$i, X12:$i > $i, X16:$i > $o]:(((c_not @ (($true)))|(c_and @ (($true)) @ (~($true)))|~((X16 @ (X12 @ (X12 @ (X12 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|~((epred111_3 @ X2 @ X16 @ X12))|~((epred112_3 @ X2 @ X16 @ X12))|~((epred115_2 @ X12 @ X16)))), inference(split_conjunct,[status(thm)],[c_0_26])).
120.92/61.59	thf(c_0_37, plain, ![X12:$i > $i, X2:$i]:(((esk232_0 @ X12 @ X2)=(c_Power @ (X12 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_27])).
120.92/61.59	thf(c_0_38, plain, ![X8:$o]:(~((c_and @ ((X8)) @ (~($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_28])])])).
120.92/61.59	thf(c_0_39, plain, ![X12:$i > $i, X16:$i > $o]:(((epred115_2 @ X12 @ X16)|(epred114_0))), inference(split_conjunct,[status(thm)],[c_0_29])).
120.92/61.59	thf(c_0_40, negated_conjecture, ~((epred114_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
120.92/61.59	thf(c_0_41, plain, ![X700:$i, X701:$i, X702:$i, X703:$i, X704:$i]:(((~(c_Subq @ X700 @ X701)|(~(c_In @ X702 @ X700)|(c_In @ X702 @ X701)))&(((c_In @ (esk36_2 @ X703 @ X704) @ X703)|(c_Subq @ X703 @ X704))&(~(c_In @ (esk36_2 @ X703 @ X704) @ X704)|(c_Subq @ X703 @ X704))))), 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_32])])])])])])])).
120.92/61.59	thf(c_0_42, plain, ![X12:$i > $i, X16:$i > $o]:(((X16 @ (X12 @ (X12 @ (X12 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(c_and @ (~($true)) @ (($true)))|(epred111_3 @ (esk187_2 @ X16 @ X12) @ X16 @ X12)|(c_In @ (esk186_2 @ X16 @ X12) @ c_Empty)|~((c_not @ (~($true))))|~((epred116_2 @ X12 @ X16)))), inference(split_conjunct,[status(thm)],[c_0_33])).
120.92/61.59	thf(c_0_43, plain, ![X8:$o]:(~((c_and @ (~($true)) @ ((X8))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_28])])])).
120.92/61.59	thf(c_0_44, plain, ![X2:$i]:(~((c_In @ X2 @ c_Empty))), inference(sr,[status(thm)],[c_0_34, c_0_35])).
120.92/61.59	thf(c_0_45, plain, ![X12:$i > $i, X16:$i > $o]:(((X16 @ (X12 @ (X12 @ (X12 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty)))))|(c_and @ (~($true)) @ (($true)))|(epred112_3 @ (esk187_2 @ X16 @ X12) @ X16 @ X12)|(c_In @ (esk186_2 @ X16 @ X12) @ c_Empty)|~((c_not @ (~($true))))|~((epred116_2 @ X12 @ X16)))), inference(split_conjunct,[status(thm)],[c_0_33])).
120.92/61.59	thf(c_0_46, plain, ![X2:$i, X12:$i > $i, X16:$i > $o]:((~((X16 @ (X12 @ (X12 @ (X12 @ (c_binrep @ (c_binrep @ (esk232_0 @ (c_binrep @ (esk232_0 @ c_Power @ c_Empty)) @ c_Empty) @ (c_Power @ c_Empty)) @ c_Empty))))))|~((epred111_3 @ X2 @ X16 @ X12))|~((epred112_3 @ X2 @ X16 @ X12))|~((epred115_2 @ X12 @ X16)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37]), c_0_37]), c_0_35]), c_0_38])).
120.92/61.59	thf(c_0_47, plain, ![X12:$i > $i, X16:$i > $o]:((epred115_2 @ X12 @ X16)), inference(sr,[status(thm)],[c_0_39, c_0_40])).
120.92/61.59	thf(c_0_48, plain, ![X2:$i, X3:$i]:(((c_In @ (esk36_2 @ X2 @ X3) @ X2)|(c_Subq @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_41])).
120.92/61.59	thf(c_0_49, plain, ![X12:$i > $i, X16:$i > $o]:(((c_not @ (($true)))|(c_and @ (~($true)) @ (~($true)))|(epred111_3 @ (esk187_2 @ X16 @ X12) @ X16 @ X12)|(c_In @ (esk186_2 @ X16 @ X12) @ c_Empty)|~((X16 @ (X12 @ (X12 @ (X12 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|~((epred116_2 @ X12 @ X16)))), inference(split_conjunct,[status(thm)],[c_0_33])).
120.92/61.59	thf(c_0_50, plain, ![X12:$i > $i, X16:$i > $o]:(((X16 @ (X12 @ (X12 @ (X12 @ (c_binrep @ (c_binrep @ (esk232_0 @ (c_binrep @ (esk232_0 @ c_Power @ c_Empty)) @ c_Empty) @ (c_Power @ c_Empty)) @ c_Empty)))))|(epred111_3 @ (esk187_2 @ X16 @ X12) @ X16 @ X12)|~((epred116_2 @ X12 @ X16)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_37]), c_0_37]), c_0_31])]), c_0_43]), c_0_44])).
120.92/61.59	thf(c_0_51, plain, ![X12:$i > $i, X16:$i > $o]:(((epred116_2 @ X12 @ X16)|(epred114_0))), inference(split_conjunct,[status(thm)],[c_0_29])).
120.92/61.59	thf(c_0_52, plain, ![X12:$i > $i, X16:$i > $o]:(((c_not @ (($true)))|(c_and @ (~($true)) @ (~($true)))|(epred112_3 @ (esk187_2 @ X16 @ X12) @ X16 @ X12)|(c_In @ (esk186_2 @ X16 @ X12) @ c_Empty)|~((X16 @ (X12 @ (X12 @ (X12 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))|~((epred116_2 @ X12 @ X16)))), inference(split_conjunct,[status(thm)],[c_0_33])).
120.92/61.59	thf(c_0_53, plain, ![X12:$i > $i, X16:$i > $o]:(((X16 @ (X12 @ (X12 @ (X12 @ (c_binrep @ (c_binrep @ (esk232_0 @ (c_binrep @ (esk232_0 @ c_Power @ c_Empty)) @ c_Empty) @ (c_Power @ c_Empty)) @ c_Empty)))))|(epred112_3 @ (esk187_2 @ X16 @ X12) @ X16 @ X12)|~((epred116_2 @ X12 @ X16)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_37]), c_0_37]), c_0_31])]), c_0_43]), c_0_44])).
120.92/61.59	thf(c_0_54, plain, ![X2:$i, X16:$i > $o, X12:$i > $i]:((~((X16 @ (X12 @ (X12 @ (X12 @ (c_binrep @ (c_binrep @ (esk232_0 @ (c_binrep @ (esk232_0 @ c_Power @ c_Empty)) @ c_Empty) @ (c_Power @ c_Empty)) @ c_Empty))))))|~((epred111_3 @ X2 @ X16 @ X12))|~((epred112_3 @ X2 @ X16 @ X12)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])])).
120.92/61.59	thf(c_0_55, plain, ![X2:$i]:((c_Subq @ c_Empty @ X2)), inference(spm,[status(thm)],[c_0_44, c_0_48])).
120.92/61.59	thf(c_0_56, plain, ![X12:$i > $i, X16:$i > $o]:(((epred111_3 @ (esk187_2 @ X16 @ X12) @ X16 @ X12)|~((epred116_2 @ X12 @ X16)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_37]), c_0_37]), c_0_35]), c_0_38]), c_0_44]), c_0_50])).
120.92/61.59	thf(c_0_57, plain, ![X12:$i > $i, X16:$i > $o]:((epred116_2 @ X12 @ X16)), inference(sr,[status(thm)],[c_0_51, c_0_40])).
120.92/61.59	thf(c_0_58, plain, ![X12:$i > $i, X16:$i > $o]:(((epred112_3 @ (esk187_2 @ X16 @ X12) @ X16 @ X12)|~((epred116_2 @ X12 @ X16)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_37]), c_0_37]), c_0_35]), c_0_38]), c_0_44]), c_0_53])).
120.92/61.59	thf(c_0_59, plain, ![X2:$i, X12:$i > $i]:((~((epred111_3 @ X2 @ (c_Subq @ c_Empty) @ X12))|~((epred112_3 @ X2 @ (c_Subq @ c_Empty) @ X12)))), inference(spm,[status(thm)],[c_0_54, c_0_55])).
120.92/61.59	thf(c_0_60, plain, ![X16:$i > $o, X12:$i > $i]:((epred111_3 @ (esk187_2 @ X16 @ X12) @ X16 @ X12)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])])).
120.92/61.59	thf(c_0_61, plain, ![X16:$i > $o, X12:$i > $i]:((epred112_3 @ (esk187_2 @ X16 @ X12) @ X16 @ X12)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_57])])).
120.92/61.59	thf(c_0_62, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61])]), ['proof']).
120.92/61.59	% SZS output end CNFRefutation
120.92/61.59	% Parsed axioms                        : 213
120.92/61.59	% Removed by relevancy pruning/SinE    : 0
120.92/61.59	% Initial clauses                      : 469172
120.92/61.59	% Removed in clause preprocessing      : 464072
120.92/61.59	% Initial clauses in saturation        : 5100
120.92/61.59	% Processed clauses                    : 7374
120.92/61.59	% ...of these trivial                  : 202
120.92/61.59	% ...subsumed                          : 3667
120.92/61.59	% ...remaining for further processing  : 3505
120.92/61.59	% Other redundant clauses eliminated   : 447
120.92/61.59	% Clauses deleted for lack of memory   : 0
120.92/61.59	% Backward-subsumed                    : 222
120.92/61.59	% Backward-rewritten                   : 457
120.92/61.59	% Generated clauses                    : 29009
120.92/61.59	% ...of the previous two non-redundant : 27822
120.92/61.59	% ...aggressively subsumed             : 0
120.92/61.59	% Contextual simplify-reflections      : 459
120.92/61.59	% Paramodulations                      : 28559
120.92/61.59	% Factorizations                       : 0
120.92/61.59	% NegExts                              : 0
120.92/61.59	% Equation resolutions                 : 449
120.92/61.59	% Disequality decompositions           : 0
120.92/61.59	% Total rewrite steps                  : 6220
120.92/61.59	% ...of those cached                   : 5544
120.92/61.59	% Propositional unsat checks           : 0
120.92/61.59	%    Propositional check models        : 0
120.92/61.59	%    Propositional check unsatisfiable : 0
120.92/61.59	%    Propositional clauses             : 0
120.92/61.59	%    Propositional clauses after purity: 0
120.92/61.59	%    Propositional unsat core size     : 0
120.92/61.59	%    Propositional preprocessing time  : 0.000
120.92/61.59	%    Propositional encoding time       : 0.000
120.92/61.59	%    Propositional solver time         : 0.000
120.92/61.59	%    Success case prop preproc time    : 0.000
120.92/61.59	%    Success case prop encoding time   : 0.000
120.92/61.59	%    Success case prop solver time     : 0.000
120.92/61.59	% Current number of processed clauses  : 1446
120.92/61.59	%    Positive orientable unit clauses  : 150
120.92/61.59	%    Positive unorientable unit clauses: 3
120.92/61.59	%    Negative unit clauses             : 219
120.92/61.59	%    Non-unit-clauses                  : 1074
120.92/61.59	% Current number of unprocessed clauses: 26772
120.92/61.59	% ...number of literals in the above   : 134290
120.92/61.59	% Current number of archived formulas  : 0
120.92/61.59	% Current number of archived clauses   : 2015
120.92/61.59	% Clause-clause subsumption calls (NU) : 2116263
120.92/61.59	% Rec. Clause-clause subsumption calls : 446937
120.92/61.59	% Non-unit clause-clause subsumptions  : 1559
120.92/61.59	% Unit Clause-clause subsumption calls : 64977
120.92/61.59	% Rewrite failures with RHS unbound    : 0
120.92/61.59	% BW rewrite match attempts            : 183
120.92/61.59	% BW rewrite match successes           : 18
120.92/61.59	% Condensation attempts                : 0
120.92/61.59	% Condensation successes               : 0
120.92/61.59	% Termbank termtop insertions          : 20821702
120.92/61.59	% Search garbage collected termcells   : 2015129
120.92/61.59	
120.92/61.59	% -------------------------------------------------
120.92/61.59	% User time                : 56.299 s
120.92/61.59	% System time              : 3.117 s
120.92/61.59	% Total time               : 59.416 s
120.92/61.59	% Maximum resident set size: 1257908 pages
120.92/61.59	
120.92/61.59	% -------------------------------------------------
120.92/61.59	% User time                : 56.314 s
120.92/61.59	% System time              : 3.412 s
120.92/61.59	% Total time               : 59.725 s
120.92/61.59	% Maximum resident set size: 5120 pages
120.92/61.59	% E exiting
120.92/61.60	EOF