TSTP Solution File: SWW676_1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW676_1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 11:07:56 EDT 2023
% Result : Theorem 18.89s 5.89s
% Output : CNFRefutation 19.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWW676_1 : TPTP v8.1.2. Released v6.4.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 19:23:38 EDT 2023
% 0.15/0.36 % CPUTime :
% 18.89/5.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.08/5.94
% 19.08/5.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.08/5.96 %$ sorted > store:(Array[Int,Int]*Int*Int)>Array[Int,Int] > select:(Array[Int,Int]*Int)>Int > #nlpp > length > div2 > const:(Int)>Array[Int,Int] > #skF_1 > #skF_3 > #skF_2 > #skF_6
% 19.08/5.96
% 19.08/5.96 %Foreground sorts:
% 19.08/5.96 tff(Array[Int,Int], type, Array[Int,Int]: $tType ).
% 19.08/5.96
% 19.08/5.96 %Background operators:
% 19.08/5.96 tff('#skF_13', type, '#skF_13': $int).
% 19.08/5.96 tff('#skE_2', type, '#skE_2': $int).
% 19.08/5.96 tff('#skE_1', type, '#skE_1': $int).
% 19.08/5.96 tff('#skF_11', type, '#skF_11': $int).
% 19.08/5.96 tff('#skE_5', type, '#skE_5': $int).
% 19.08/5.96 tff('#skF_8', type, '#skF_8': $int).
% 19.08/5.96 tff('#skE_4', type, '#skE_4': $int).
% 19.08/5.96 tff('#skF_5', type, '#skF_5': $int).
% 19.08/5.96 tff('#skF_4', type, '#skF_4': $int).
% 19.08/5.96 tff('#skF_10', type, '#skF_10': $int).
% 19.08/5.96 tff('#skF_12', type, '#skF_12': $int).
% 19.08/5.96 tff('#skE_3', type, '#skE_3': $int).
% 19.08/5.96 tff('#skF_7', type, '#skF_7': $int).
% 19.08/5.96 tff('#skF_9', type, '#skF_9': $int).
% 19.08/5.96
% 19.08/5.96 %Foreground operators:
% 19.08/5.96 tff(sorted, type, sorted: (Array[Int,Int] * $int * $int) > $o).
% 19.08/5.96 tff('#skF_1', type, '#skF_1': (Array[Int,Int] * Array[Int,Int]) > $int).
% 19.08/5.96 tff(select:(Array[Int,Int]*Int)>Int, type, select:(Array[Int,Int]*Int)>Int: (Array[Int,Int] * $int) > $int).
% 19.08/5.96 tff(div2, type, div2: $int > $int).
% 19.08/5.96 tff('#skF_3', type, '#skF_3': (Array[Int,Int] * $int * $int) > $int).
% 19.08/5.96 tff(store:(Array[Int,Int]*Int*Int)>Array[Int,Int], type, store:(Array[Int,Int]*Int*Int)>Array[Int,Int]: (Array[Int,Int] * $int * $int) > Array[Int,Int]).
% 19.08/5.96 tff('#skF_2', type, '#skF_2': (Array[Int,Int] * $int * $int) > $int).
% 19.08/5.96 tff(const:(Int)>Array[Int,Int], type, const:(Int)>Array[Int,Int]: $int > Array[Int,Int]).
% 19.08/5.96 tff(length, type, length: Array[Int,Int] > $int).
% 19.08/5.96 tff('#skF_6', type, '#skF_6': Array[Int,Int]).
% 19.08/5.96
% 19.41/6.01 tff(f_137, negated_conjecture, ~(![La:$int, Ua:$int, A:Array[Int,Int], Ea:$int]: ((($lesseq(0, La) & $less(Ua, length(A))) & sorted(A, 0, $difference(length(A), 1))) => ((($greater(La, Ua) => $false) & (~$greater(La, Ua) => (?[M_2a:$int]: (((M_2a = div2($sum(La, Ua))) & ((select(A, M_2a) = Ea) => $true)) & (~(select(A, M_2a) = Ea) => (($less(select(A, M_2a), Ea) => (?[L_4a:$int]: ((L_4a = $sum(M_2a, 1)) & (?[Ia:$int]: (($lesseq(L_4a, Ia) & $lesseq(Ia, Ua)) & (select(A, Ia) = Ea)))))) & (~$less(select(A, M_2a), Ea) => (?[U_6a:$int]: ((U_6a = $difference(M_2a, 1)) & (?[Ia:$int]: (($lesseq(La, Ia) & $lesseq(Ia, U_6a)) & (select(A, Ia) = Ea)))))))))))) <=> (?[Ia:$int]: (($lesseq(La, Ia) & $lesseq(Ia, Ua)) & (select(A, Ia) = Ea)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_007)).
% 19.41/6.01 tff(f_74, axiom, (![A:Array[Int,Int], La:$int, Ua:$int]: (sorted(A, La, Ua) <=> (![Ia:$int, Ja:$int]: ((($lesseq(La, Ia) & $less(Ia, Ja)) & $lesseq(Ja, Ua)) => $lesseq(select(A, Ia), select(A, Ja)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_006)).
% 19.41/6.01 tff(f_56, axiom, (![Aa:$int, Resa:$int]: (($lesseq($product(2, Resa), Aa) & $greater($product(2, $sum(Resa, 1)), Aa)) <=> (div2(Aa) = Resa))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_004)).
% 19.41/6.01 tff(c_250, plain, ($lesseq('#skF_13', '#skF_5') | ~$greater('#skF_4', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_368, plain, (~$less('#skF_5', '#skF_13') | ~$less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_250])).
% 19.41/6.01 tff(c_856, plain, (~$less('#skF_5', '#skF_4')), inference(splitLeft, [status(thm)], [c_368])).
% 19.41/6.01 tff(c_270, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skF_7' | $lesseq('#skF_4', '#skF_13') | ~$lesseq('#skF_4', I_61a) | ~$lesseq(I_61a, '#skF_5'))), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_330, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skF_7' | ~$less('#skF_13', '#skF_4') | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_270])).
% 19.41/6.01 tff(c_922, plain, (~$less('#skF_13', '#skF_4')), inference(splitLeft, [status(thm)], [c_330])).
% 19.41/6.01 tff(c_248, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skF_7' | $lesseq('#skF_13', '#skF_5') | ~$lesseq('#skF_4', I_61a) | ~$lesseq(I_61a, '#skF_5'))), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_369, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skF_7' | ~$less('#skF_5', '#skF_13') | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_248])).
% 19.41/6.01 tff(c_924, plain, (~$less('#skF_5', '#skF_13')), inference(splitLeft, [status(thm)], [c_369])).
% 19.41/6.01 tff(c_230, plain, (div2($sum('#skF_5', '#skF_4'))='#skF_8' | select('#skF_6', '#skF_13')='#skF_7' | $greater('#skF_4', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_403, plain, (div2($sum('#skF_4', '#skF_5'))='#skF_8' | select('#skF_6', '#skF_13')='#skF_7' | $less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_230])).
% 19.41/6.01 tff(c_406, plain, (div2($sum('#skF_5', '#skF_4'))='#skF_8' | select('#skF_6', '#skF_13')='#skF_7' | $less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_403])).
% 19.41/6.01 tff(c_946, plain, (div2($sum('#skF_5', '#skF_4'))='#skF_8' | select('#skF_6', '#skF_13')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_406])).
% 19.41/6.01 tff(c_949, plain, (div2($sum('#skF_4', '#skF_5'))='#skF_8' | select('#skF_6', '#skF_13')='#skF_7'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_946])).
% 19.41/6.01 tff(c_963, plain, (select('#skF_6', '#skF_13')='#skE_3'), inference(define, [status(thm), theory('equality')], [c_949])).
% 19.41/6.01 tff(c_957, plain, (div2($sum('#skF_4', '#skF_5'))='#skE_2'), inference(define, [status(thm), theory('equality')], [c_949])).
% 19.41/6.01 tff(c_993, plain, (div2($sum('#skF_5', '#skF_4'))='#skE_2'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_957])).
% 19.41/6.01 tff(c_952, plain, (select('#skF_6', '#skF_13')='#skE_3'), inference(define, [status(thm), theory('equality')], [c_949])).
% 19.41/6.01 tff(c_951, plain, (div2($sum('#skF_4', '#skF_5'))='#skE_2'), inference(define, [status(thm), theory('equality')], [c_949])).
% 19.41/6.01 tff(c_950, plain, (div2($sum('#skF_4', '#skF_5'))='#skF_8' | select('#skF_6', '#skF_13')='#skF_7'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_946])).
% 19.41/6.01 tff(c_964, plain, ('#skF_8'='#skE_2' | '#skF_7'='#skE_3'), inference(demodulation, [status(thm), theory('equality')], [c_952, c_951, c_950])).
% 19.41/6.01 tff(c_966, plain, ('#skF_7'='#skE_3'), inference(splitLeft, [status(thm)], [c_964])).
% 19.41/6.01 tff(c_172, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skF_7' | select('#skF_6', div2($sum('#skF_5', '#skF_4')))!='#skF_7' | $greater('#skF_4', '#skF_5') | ~$lesseq('#skF_4', I_61a) | ~$lesseq(I_61a, '#skF_5'))), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_488, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skF_7' | select('#skF_6', div2($sum('#skF_5', '#skF_4')))!='#skF_7' | $less('#skF_5', '#skF_4') | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_172])).
% 19.41/6.01 tff(c_1046, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skE_3' | select('#skF_6', '#skE_2')!='#skE_3' | $less('#skF_5', '#skF_4') | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(demodulation, [status(thm), theory('equality')], [c_993, c_966, c_966, c_488])).
% 19.41/6.01 tff(c_1050, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skE_3' | select('#skF_6', '#skE_2')!='#skE_3' | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(negUnitSimplification, [status(thm)], [c_856, c_1046])).
% 19.41/6.01 tff(c_1061, plain, (select('#skF_6', '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_1050])).
% 19.41/6.01 tff(f_9793, plain, (![I_71a:$int, L_4_69a:$int, M_2_62a:$int]: (((((((~$greater('#skF_4', '#skF_5') | ~(select('#skF_6', I_71a) = '#skF_7')) | ~$lesseq(I_71a, '#skF_5')) | ~$lesseq(L_4_69a, I_71a)) | ~(L_4_69a = $sum(M_2_62a, 1))) | ~$less(select('#skF_6', M_2_62a), '#skF_7')) | ~(M_2_62a = div2($sum('#skF_5', '#skF_4')))) | $greater('#skF_4', '#skF_5'))), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(f_9796, plain, (![L_4_69a:$int, I_71a:$int, M_2_62a:$int]: ((![L_4_69a:$int]: ((((~$greater('#skF_4', '#skF_5') | ~$lesseq(I_71a, '#skF_5')) | ~$lesseq(L_4_69a, I_71a)) | ~(L_4_69a = $sum(M_2_62a, 1))) | $greater('#skF_4', '#skF_5'))) <=> ((((0 < $sum(1, $sum(M_2_62a, $uminus(I_71a)))) | (0 < $sum('#skF_4', $uminus('#skF_5')))) | (0 < $sum(I_71a, $uminus('#skF_5')))) | (0 < $sum(1, $sum('#skF_5', $uminus('#skF_4'))))))), inference(theorem, [status(thm), theory('LIA')], [])).
% 19.41/6.01 tff(f_9797, plain, (![M_2_62a:$int, I_71a:$int]: (((((((0 < $sum(1, $sum(M_2_62a, $uminus(I_71a)))) | (0 < $sum('#skF_4', $uminus('#skF_5')))) | (0 < $sum(I_71a, $uminus('#skF_5')))) | (0 < $sum(1, $sum('#skF_5', $uminus('#skF_4'))))) | ~(select('#skF_6', I_71a) = '#skF_7')) | ~$less(select('#skF_6', M_2_62a), '#skF_7')) | ~(M_2_62a = div2($sum('#skF_5', '#skF_4'))))), inference(equivalence, [status(thm)], [f_9793, f_9796])).
% 19.41/6.01 tff(c_109, plain, (![I_71a:$int]: (select('#skF_6', I_71a)!='#skF_7' | ~$less(select('#skF_6', div2($sum('#skF_5', '#skF_4'))), '#skF_7') | ~$lesseq($sum(1, '#skF_5'), '#skF_4') | ~$lesseq(I_71a, '#skF_5') | ~$lesseq('#skF_4', '#skF_5') | ~$lesseq($sum(1, div2($sum('#skF_5', '#skF_4'))), I_71a))), inference(cnfTransformation, [status(thm)], [f_9797])).
% 19.41/6.01 tff(c_563, plain, (![I_71a:$int]: (select('#skF_6', I_71a)!='#skF_7' | ~$less(select('#skF_6', div2($sum('#skF_5', '#skF_4'))), '#skF_7') | $less('#skF_4', $sum(1, '#skF_5')) | $less('#skF_5', I_71a) | $less('#skF_5', '#skF_4') | $less(I_71a, $sum(1, div2($sum('#skF_5', '#skF_4')))))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_109])).
% 19.41/6.01 tff(c_1971, plain, (![I_71a:$int]: (select('#skF_6', I_71a)!='#skE_3' | ~$less('#skE_4', '#skE_3') | $less('#skF_4', $sum(1, '#skF_5')) | $less('#skF_5', I_71a) | $less('#skF_5', '#skF_4') | $less(I_71a, $sum(1, '#skE_2')))), inference(demodulation, [status(thm), theory('equality')], [c_993, c_1061, c_993, c_966, c_966, c_563])).
% 19.41/6.01 tff(c_1973, plain, (![I_71a:$int]: (select('#skF_6', I_71a)!='#skE_3' | ~$less('#skE_4', '#skE_3') | $less('#skF_4', $sum(1, '#skF_5')) | $less('#skF_5', I_71a) | $less(I_71a, $sum(1, '#skE_2')))), inference(negUnitSimplification, [status(thm)], [c_856, c_1971])).
% 19.41/6.01 tff(c_1975, plain, (~$less('#skE_4', '#skE_3')), inference(splitLeft, [status(thm)], [c_1973])).
% 19.41/6.01 tff(c_1058, plain, (select('#skF_6', '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_1050])).
% 19.41/6.01 tff(c_682, plain, ($less('#skF_5', length('#skF_6'))), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_860, plain, (length('#skF_6')='#skE_1'), inference(define, [status(thm), theory('equality')], [c_682])).
% 19.41/6.01 tff(c_33, plain, (sorted('#skF_6', 0, $difference(length('#skF_6'), 1))), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_683, plain, (sorted('#skF_6', 0, $sum($uminus(1), length('#skF_6')))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_33])).
% 19.41/6.01 tff(c_887, plain, (sorted('#skF_6', 0, $sum($uminus(1), '#skE_1'))), inference(demodulation, [status(thm), theory('equality')], [c_860, c_683])).
% 19.41/6.01 tff(c_19, plain, (![L_17a:$int, J_24a:$int, I_23a:$int, A_16:Array[Int,Int], U_18a:$int]: ($lesseq(select(A_16, I_23a), select(A_16, J_24a)) | ~sorted(A_16, L_17a, U_18a) | ~$lesseq(L_17a, I_23a) | ~$less(I_23a, J_24a) | ~$lesseq(J_24a, U_18a))), inference(cnfTransformation, [status(thm)], [f_74])).
% 19.41/6.01 tff(c_1091, plain, (![A_866:Array[Int,Int], J_864a:$int, U_862a:$int, I_863a:$int, L_865a:$int]: (~$less(select(A_866, J_864a), select(A_866, I_863a)) | ~sorted(A_866, L_865a, U_862a) | $less(I_863a, L_865a) | ~$less(I_863a, J_864a) | $less(U_862a, J_864a))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_19])).
% 19.41/6.01 tff(c_1115, plain, (![J_864a:$int, I_863a:$int]: (~$less(select('#skF_6', J_864a), select('#skF_6', I_863a)) | $less(I_863a, 0) | ~$less(I_863a, J_864a) | $less($sum($uminus(1), '#skE_1'), J_864a))), inference(resolution, [status(thm)], [c_887, c_1091])).
% 19.41/6.01 tff(c_1121, plain, (![J_870a:$int, I_871a:$int]: (~$less(select('#skF_6', J_870a), select('#skF_6', I_871a)) | $less(I_871a, 0) | ~$less(I_871a, J_870a) | $less('#skE_1', $sum(1, J_870a)))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_1115])).
% 19.41/6.01 tff(c_1143, plain, (![J_870a:$int]: (~$less(select('#skF_6', J_870a), '#skE_4') | $less('#skE_2', 0) | ~$less('#skE_2', J_870a) | $less('#skE_1', $sum(1, J_870a)))), inference(superposition, [status(thm), theory('equality')], [c_1058, c_1121])).
% 19.41/6.01 tff(c_1183, plain, ($less('#skE_2', 0)), inference(splitLeft, [status(thm)], [c_1143])).
% 19.41/6.01 tff(c_994, plain, (div2($sum('#skF_5', '#skF_4'))='#skE_2'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_957])).
% 19.41/6.01 tff(c_11, plain, (![A_13a:$int]: ($greater($product(2, $sum(1, div2(A_13a))), A_13a))), inference(cnfTransformation, [status(thm)], [f_56])).
% 19.41/6.01 tff(c_691, plain, (![A_13a:$int]: ($less(A_13a, $sum(2, $product(2, div2(A_13a)))))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_11])).
% 19.41/6.01 tff(c_1019, plain, ($less($sum('#skF_5', '#skF_4'), $sum(2, $product(2, '#skE_2')))), inference(superposition, [status(thm), theory('equality')], [c_994, c_691])).
% 19.41/6.01 tff(c_1021, plain, ($less($sum('#skF_4', '#skF_5'), $sum(2, $product(2, '#skE_2')))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_1019])).
% 19.41/6.01 tff(c_37, plain, ($lesseq(0, '#skF_4')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_678, plain, (~$less('#skF_4', 0)), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_37])).
% 19.41/6.01 tff(c_1187, plain, $false, inference(close, [status(thm), theory('LIA')], [c_1183, c_1021, c_856, c_678])).
% 19.41/6.01 tff(c_1196, plain, (![J_890a:$int]: (~$less(select('#skF_6', J_890a), '#skE_4') | ~$less('#skE_2', J_890a) | $less('#skE_1', $sum(1, J_890a)))), inference(splitRight, [status(thm)], [c_1143])).
% 19.41/6.01 tff(c_1207, plain, (~$less('#skE_3', '#skE_4') | ~$less('#skE_2', '#skF_13') | $less('#skE_1', $sum(1, '#skF_13'))), inference(superposition, [status(thm), theory('equality')], [c_963, c_1196])).
% 19.41/6.01 tff(c_1209, plain, (~$less('#skE_2', '#skF_13')), inference(splitLeft, [status(thm)], [c_1207])).
% 19.41/6.01 tff(c_1140, plain, (![I_871a:$int]: (~$less('#skE_4', select('#skF_6', I_871a)) | $less(I_871a, 0) | ~$less(I_871a, '#skE_2') | $less('#skE_1', $sum(1, '#skE_2')))), inference(superposition, [status(thm), theory('equality')], [c_1058, c_1121])).
% 19.41/6.01 tff(c_1153, plain, ($less('#skE_1', $sum(1, '#skE_2'))), inference(splitLeft, [status(thm)], [c_1140])).
% 19.41/6.01 tff(c_14, plain, (![A_13a:$int]: ($lesseq($product(2, div2(A_13a)), A_13a))), inference(cnfTransformation, [status(thm)], [f_56])).
% 19.41/6.01 tff(c_690, plain, (![A_13a:$int]: (~$less(A_13a, $product(2, div2(A_13a))))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_14])).
% 19.41/6.01 tff(c_1022, plain, (~$less($sum('#skF_5', '#skF_4'), $product(2, '#skE_2'))), inference(superposition, [status(thm), theory('equality')], [c_994, c_690])).
% 19.41/6.01 tff(c_1024, plain, (~$less($sum('#skF_4', '#skF_5'), $product(2, '#skE_2'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_1022])).
% 19.41/6.01 tff(c_857, plain, (length('#skF_6')='#skE_1'), inference(define, [status(thm), theory('equality')], [c_682])).
% 19.41/6.01 tff(c_842, plain, ($less('#skF_5', length('#skF_6'))), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_861, plain, ($less('#skF_5', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_857, c_842])).
% 19.41/6.01 tff(c_1154, plain, $false, inference(close, [status(thm), theory('LIA')], [c_1153, c_1024, c_861, c_856])).
% 19.41/6.01 tff(c_1163, plain, (![I_882a:$int]: (~$less('#skE_4', select('#skF_6', I_882a)) | $less(I_882a, 0) | ~$less(I_882a, '#skE_2'))), inference(splitRight, [status(thm)], [c_1140])).
% 19.41/6.01 tff(c_1174, plain, (~$less('#skE_4', '#skE_3') | $less('#skF_13', 0) | ~$less('#skF_13', '#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_963, c_1163])).
% 19.41/6.01 tff(c_1179, plain, (~$less('#skF_13', '#skE_2')), inference(splitLeft, [status(thm)], [c_1174])).
% 19.41/6.01 tff(c_1062, plain, (select('#skF_6', '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_1050])).
% 19.41/6.01 tff(c_1079, plain, ('#skE_4'='#skE_3' | '#skF_13'!='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_1062, c_963])).
% 19.41/6.01 tff(c_1086, plain, ('#skF_13'!='#skE_2'), inference(splitLeft, [status(thm)], [c_1079])).
% 19.41/6.01 tff(c_1210, plain, $false, inference(close, [status(thm), theory('LIA')], [c_1209, c_1179, c_1086])).
% 19.41/6.01 tff(c_1213, plain, (~$less('#skE_3', '#skE_4') | $less('#skE_1', $sum(1, '#skF_13'))), inference(splitRight, [status(thm)], [c_1207])).
% 19.41/6.01 tff(c_1219, plain, (~$less('#skE_3', '#skE_4')), inference(splitLeft, [status(thm)], [c_1213])).
% 19.41/6.01 tff(c_1052, plain, (select('#skF_6', '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_1050])).
% 19.41/6.01 tff(c_1051, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skE_3' | select('#skF_6', '#skE_2')!='#skE_3' | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(negUnitSimplification, [status(thm)], [c_856, c_1046])).
% 19.41/6.01 tff(c_1059, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skE_3' | '#skE_4'!='#skE_3' | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(demodulation, [status(thm), theory('equality')], [c_1052, c_1051])).
% 19.41/6.01 tff(c_1088, plain, ('#skE_4'!='#skE_3'), inference(splitLeft, [status(thm)], [c_1059])).
% 19.41/6.01 tff(c_1976, plain, $false, inference(close, [status(thm), theory('LIA')], [c_1975, c_1219, c_1088])).
% 19.41/6.01 tff(c_1980, plain, ($less('#skE_4', '#skE_3')), inference(splitRight, [status(thm)], [c_1973])).
% 19.41/6.01 tff(f_9554, plain, (![I_61a:$int, I_71a:$int, L_4_69a:$int, M_2_62a:$int]: (((((((((~(select('#skF_6', I_61a) = '#skF_7') | ~$lesseq(I_61a, '#skF_5')) | ~$lesseq('#skF_4', I_61a)) | ~(select('#skF_6', I_71a) = '#skF_7')) | ~$lesseq(I_71a, '#skF_5')) | ~$lesseq(L_4_69a, I_71a)) | ~(L_4_69a = $sum(M_2_62a, 1))) | ~$less(select('#skF_6', M_2_62a), '#skF_7')) | ~(M_2_62a = div2($sum('#skF_5', '#skF_4')))) | $greater('#skF_4', '#skF_5'))), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(f_9557, plain, (![L_4_69a:$int, I_61a:$int, I_71a:$int, M_2_62a:$int]: ((![L_4_69a:$int]: (((((~$lesseq(I_61a, '#skF_5') | ~$lesseq('#skF_4', I_61a)) | ~$lesseq(I_71a, '#skF_5')) | ~$lesseq(L_4_69a, I_71a)) | ~(L_4_69a = $sum(M_2_62a, 1))) | $greater('#skF_4', '#skF_5'))) <=> (((((0 < $sum(1, $sum(M_2_62a, $uminus(I_71a)))) | (0 < $sum('#skF_4', $uminus('#skF_5')))) | (0 < $sum(I_71a, $uminus('#skF_5')))) | (0 < $sum('#skF_4', $uminus(I_61a)))) | (0 < $sum(I_61a, $uminus('#skF_5')))))), inference(theorem, [status(thm), theory('LIA')], [])).
% 19.41/6.01 tff(f_9558, plain, (![M_2_62a:$int, I_71a:$int, I_61a:$int]: (((((((((0 < $sum(1, $sum(M_2_62a, $uminus(I_71a)))) | (0 < $sum('#skF_4', $uminus('#skF_5')))) | (0 < $sum(I_71a, $uminus('#skF_5')))) | (0 < $sum('#skF_4', $uminus(I_61a)))) | (0 < $sum(I_61a, $uminus('#skF_5')))) | ~(select('#skF_6', I_61a) = '#skF_7')) | ~(select('#skF_6', I_71a) = '#skF_7')) | ~$less(select('#skF_6', M_2_62a), '#skF_7')) | ~(M_2_62a = div2($sum('#skF_5', '#skF_4'))))), inference(equivalence, [status(thm)], [f_9554, f_9557])).
% 19.41/6.01 tff(c_106, plain, (![I_61a:$int, I_71a:$int]: (select('#skF_6', I_61a)!='#skF_7' | select('#skF_6', I_71a)!='#skF_7' | ~$less(select('#skF_6', div2($sum('#skF_5', '#skF_4'))), '#skF_7') | ~$lesseq(I_61a, '#skF_5') | ~$lesseq('#skF_4', I_61a) | ~$lesseq(I_71a, '#skF_5') | ~$lesseq('#skF_4', '#skF_5') | ~$lesseq($sum(1, div2($sum('#skF_5', '#skF_4'))), I_71a))), inference(cnfTransformation, [status(thm)], [f_9558])).
% 19.41/6.01 tff(c_567, plain, (![I_61a:$int, I_71a:$int]: (select('#skF_6', I_61a)!='#skF_7' | select('#skF_6', I_71a)!='#skF_7' | ~$less(select('#skF_6', div2($sum('#skF_5', '#skF_4'))), '#skF_7') | $less('#skF_5', I_61a) | $less(I_61a, '#skF_4') | $less('#skF_5', I_71a) | $less('#skF_5', '#skF_4') | $less(I_71a, $sum(1, div2($sum('#skF_5', '#skF_4')))))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_106])).
% 19.41/6.01 tff(c_1984, plain, (![I_61a:$int, I_71a:$int]: (select('#skF_6', I_61a)!='#skE_3' | select('#skF_6', I_71a)!='#skE_3' | $less('#skF_5', I_61a) | $less(I_61a, '#skF_4') | $less('#skF_5', I_71a) | $less('#skF_5', '#skF_4') | $less(I_71a, $sum(1, '#skE_2')))), inference(demodulation, [status(thm), theory('equality')], [c_993, c_1980, c_1061, c_993, c_966, c_966, c_966, c_567])).
% 19.41/6.01 tff(c_1986, plain, (![I_61a:$int, I_71a:$int]: (select('#skF_6', I_61a)!='#skE_3' | select('#skF_6', I_71a)!='#skE_3' | $less('#skF_5', I_61a) | $less(I_61a, '#skF_4') | $less('#skF_5', I_71a) | $less(I_71a, $sum(1, '#skE_2')))), inference(negUnitSimplification, [status(thm)], [c_856, c_1984])).
% 19.41/6.01 tff(c_1989, plain, (![I_1254a:$int]: (select('#skF_6', I_1254a)!='#skE_3' | $less('#skF_5', I_1254a) | $less(I_1254a, $sum(1, '#skE_2')))), inference(splitLeft, [status(thm)], [c_1986])).
% 19.41/6.01 tff(c_1998, plain, ($less('#skF_5', '#skF_13') | $less('#skF_13', $sum(1, '#skE_2'))), inference(superposition, [status(thm), theory('equality')], [c_963, c_1989])).
% 19.41/6.01 tff(c_2000, plain, ($less('#skF_13', $sum(1, '#skE_2'))), inference(negUnitSimplification, [status(thm)], [c_924, c_1998])).
% 19.41/6.01 tff(c_2001, plain, $false, inference(close, [status(thm), theory('LIA')], [c_2000, c_1179, c_1086])).
% 19.41/6.01 tff(c_2004, plain, (![I_1255a:$int]: (select('#skF_6', I_1255a)!='#skE_3' | $less('#skF_5', I_1255a) | $less(I_1255a, '#skF_4'))), inference(splitRight, [status(thm)], [c_1986])).
% 19.41/6.01 tff(c_2013, plain, ($less('#skF_5', '#skF_13') | $less('#skF_13', '#skF_4')), inference(superposition, [status(thm), theory('equality')], [c_963, c_2004])).
% 19.41/6.01 tff(c_2017, plain, $false, inference(negUnitSimplification, [status(thm)], [c_922, c_924, c_2013])).
% 19.41/6.01 tff(c_2020, plain, ($less('#skE_1', $sum(1, '#skF_13'))), inference(splitRight, [status(thm)], [c_1213])).
% 19.41/6.01 tff(c_2022, plain, $false, inference(close, [status(thm), theory('LIA')], [c_2020, c_924, c_861])).
% 19.41/6.01 tff(c_2025, plain, (~$less('#skE_4', '#skE_3') | $less('#skF_13', 0)), inference(splitRight, [status(thm)], [c_1174])).
% 19.41/6.01 tff(c_2031, plain, (~$less('#skE_4', '#skE_3')), inference(splitLeft, [status(thm)], [c_2025])).
% 19.41/6.01 tff(f_6713, plain, (![I_61a:$int, M_2_62a:$int, I_74a:$int, U_6_72a:$int]: (((((((((~(select('#skF_6', I_61a) = '#skF_7') | ~$lesseq(I_61a, '#skF_5')) | ~$lesseq('#skF_4', I_61a)) | $less(select('#skF_6', M_2_62a), '#skF_7')) | ~(select('#skF_6', I_74a) = '#skF_7')) | ~$lesseq(I_74a, U_6_72a)) | ~$lesseq('#skF_4', I_74a)) | ~(U_6_72a = $difference(M_2_62a, 1))) | ~(M_2_62a = div2($sum('#skF_5', '#skF_4')))) | $greater('#skF_4', '#skF_5'))), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(f_6716, plain, (![U_6_72a:$int, I_61a:$int, I_74a:$int, M_2_62a:$int]: ((![U_6_72a:$int]: (((((~$lesseq(I_61a, '#skF_5') | ~$lesseq('#skF_4', I_61a)) | ~$lesseq(I_74a, U_6_72a)) | ~$lesseq('#skF_4', I_74a)) | ~(U_6_72a = $difference(M_2_62a, 1))) | $greater('#skF_4', '#skF_5'))) <=> (((((0 < $sum(1, $sum($uminus(M_2_62a), I_74a))) | (0 < $sum('#skF_4', $uminus('#skF_5')))) | (0 < $sum('#skF_4', $uminus(I_74a)))) | (0 < $sum('#skF_4', $uminus(I_61a)))) | (0 < $sum(I_61a, $uminus('#skF_5')))))), inference(theorem, [status(thm), theory('LIA')], [])).
% 19.41/6.01 tff(f_6717, plain, (![M_2_62a:$int, I_74a:$int, I_61a:$int]: (((((((((0 < $sum(1, $sum($uminus(M_2_62a), I_74a))) | (0 < $sum('#skF_4', $uminus('#skF_5')))) | (0 < $sum('#skF_4', $uminus(I_74a)))) | (0 < $sum('#skF_4', $uminus(I_61a)))) | (0 < $sum(I_61a, $uminus('#skF_5')))) | ~(select('#skF_6', I_61a) = '#skF_7')) | $less(select('#skF_6', M_2_62a), '#skF_7')) | ~(select('#skF_6', I_74a) = '#skF_7')) | ~(M_2_62a = div2($sum('#skF_5', '#skF_4'))))), inference(equivalence, [status(thm)], [f_6713, f_6716])).
% 19.41/6.01 tff(c_73, plain, (![I_61a:$int, I_74a:$int]: (select('#skF_6', I_61a)!='#skF_7' | $less(select('#skF_6', div2($sum('#skF_5', '#skF_4'))), '#skF_7') | select('#skF_6', I_74a)!='#skF_7' | ~$lesseq(I_61a, '#skF_5') | ~$lesseq('#skF_4', I_61a) | ~$lesseq('#skF_4', I_74a) | ~$lesseq('#skF_4', '#skF_5') | ~$lesseq($sum(1, I_74a), div2($sum('#skF_5', '#skF_4'))))), inference(cnfTransformation, [status(thm)], [f_6717])).
% 19.41/6.01 tff(c_619, plain, (![I_61a:$int, I_74a:$int]: (select('#skF_6', I_61a)!='#skF_7' | $less(select('#skF_6', div2($sum('#skF_5', '#skF_4'))), '#skF_7') | select('#skF_6', I_74a)!='#skF_7' | $less('#skF_5', I_61a) | $less(I_61a, '#skF_4') | $less(I_74a, '#skF_4') | $less('#skF_5', '#skF_4') | $less(div2($sum('#skF_4', '#skF_5')), $sum(1, I_74a)))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_73])).
% 19.41/6.01 tff(c_622, plain, (![I_61a:$int, I_74a:$int]: (select('#skF_6', I_61a)!='#skF_7' | $less(select('#skF_6', div2($sum('#skF_5', '#skF_4'))), '#skF_7') | select('#skF_6', I_74a)!='#skF_7' | $less('#skF_5', I_61a) | $less(I_61a, '#skF_4') | $less(I_74a, '#skF_4') | $less('#skF_5', '#skF_4') | $less(div2($sum('#skF_5', '#skF_4')), $sum(1, I_74a)))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_619])).
% 19.41/6.01 tff(c_3022, plain, (![I_61a:$int, I_74a:$int]: (select('#skF_6', I_61a)!='#skE_3' | $less('#skE_4', '#skE_3') | select('#skF_6', I_74a)!='#skE_3' | $less('#skF_5', I_61a) | $less(I_61a, '#skF_4') | $less(I_74a, '#skF_4') | $less('#skF_5', '#skF_4') | $less('#skE_2', $sum(1, I_74a)))), inference(demodulation, [status(thm), theory('equality')], [c_993, c_966, c_1061, c_993, c_966, c_966, c_622])).
% 19.41/6.01 tff(c_3024, plain, (![I_61a:$int, I_74a:$int]: (select('#skF_6', I_61a)!='#skE_3' | select('#skF_6', I_74a)!='#skE_3' | $less('#skF_5', I_61a) | $less(I_61a, '#skF_4') | $less(I_74a, '#skF_4') | $less('#skE_2', $sum(1, I_74a)))), inference(negUnitSimplification, [status(thm)], [c_856, c_2031, c_3022])).
% 19.41/6.01 tff(c_3027, plain, (![I_1810a:$int]: (select('#skF_6', I_1810a)!='#skE_3' | $less(I_1810a, '#skF_4') | $less('#skE_2', $sum(1, I_1810a)))), inference(splitLeft, [status(thm)], [c_3024])).
% 19.41/6.01 tff(c_3036, plain, ($less('#skF_13', '#skF_4') | $less('#skE_2', $sum(1, '#skF_13'))), inference(superposition, [status(thm), theory('equality')], [c_963, c_3027])).
% 19.41/6.01 tff(c_3038, plain, ($less('#skE_2', $sum(1, '#skF_13'))), inference(negUnitSimplification, [status(thm)], [c_922, c_3036])).
% 19.41/6.01 tff(c_2026, plain, ($less('#skF_13', '#skE_2')), inference(splitRight, [status(thm)], [c_1174])).
% 19.41/6.01 tff(c_3039, plain, $false, inference(close, [status(thm), theory('LIA')], [c_3038, c_2026])).
% 19.41/6.01 tff(c_3042, plain, (![I_1811a:$int]: (select('#skF_6', I_1811a)!='#skE_3' | $less('#skF_5', I_1811a) | $less(I_1811a, '#skF_4'))), inference(splitRight, [status(thm)], [c_3024])).
% 19.41/6.01 tff(c_3051, plain, ($less('#skF_5', '#skF_13') | $less('#skF_13', '#skF_4')), inference(superposition, [status(thm), theory('equality')], [c_963, c_3042])).
% 19.41/6.01 tff(c_3054, plain, $false, inference(negUnitSimplification, [status(thm)], [c_922, c_924, c_3051])).
% 19.41/6.01 tff(c_3057, plain, ($less('#skF_13', 0)), inference(splitRight, [status(thm)], [c_2025])).
% 19.41/6.01 tff(c_3059, plain, $false, inference(close, [status(thm), theory('LIA')], [c_3057, c_922, c_678])).
% 19.41/6.01 tff(c_3063, plain, ('#skE_4'='#skE_3'), inference(splitRight, [status(thm)], [c_1059])).
% 19.41/6.01 tff(c_3071, plain, (select('#skF_6', '#skE_2')='#skE_3'), inference(demodulation, [status(thm), theory('equality')], [c_3063, c_1058])).
% 19.41/6.01 tff(c_3099, plain, (![I_1816a:$int]: (select('#skF_6', I_1816a)!='#skE_3' | $less(I_1816a, '#skF_4') | $less('#skF_5', I_1816a))), inference(splitRight, [status(thm)], [c_1059])).
% 19.41/6.01 tff(c_3107, plain, ($less('#skE_2', '#skF_4') | $less('#skF_5', '#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_3071, c_3099])).
% 19.41/6.01 tff(c_3115, plain, ($less('#skF_5', '#skE_2')), inference(splitLeft, [status(thm)], [c_3107])).
% 19.41/6.01 tff(c_3116, plain, $false, inference(close, [status(thm), theory('LIA')], [c_3115, c_1024, c_856])).
% 19.41/6.01 tff(c_3119, plain, ($less('#skE_2', '#skF_4')), inference(splitRight, [status(thm)], [c_3107])).
% 19.41/6.01 tff(c_3123, plain, $false, inference(close, [status(thm), theory('LIA')], [c_3119, c_1021, c_856])).
% 19.41/6.01 tff(c_3127, plain, ('#skF_13'='#skE_2'), inference(splitRight, [status(thm)], [c_1079])).
% 19.41/6.01 tff(c_3148, plain, (~$less('#skF_5', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_3127, c_924])).
% 19.41/6.01 tff(c_3149, plain, (~$less('#skE_2', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_3127, c_922])).
% 19.41/6.01 tff(c_3158, plain, (select('#skF_6', '#skE_2')='#skE_3'), inference(demodulation, [status(thm), theory('equality')], [c_3127, c_963])).
% 19.41/6.01 tff(c_3126, plain, ('#skE_4'='#skE_3'), inference(splitRight, [status(thm)], [c_1079])).
% 19.41/6.01 tff(c_3152, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skE_3' | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(demodulation, [status(thm), theory('equality')], [c_3126, c_1059])).
% 19.41/6.01 tff(c_3172, plain, ($less('#skE_2', '#skF_4') | $less('#skF_5', '#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_3158, c_3152])).
% 19.41/6.01 tff(c_3181, plain, $false, inference(negUnitSimplification, [status(thm)], [c_3148, c_3149, c_3172])).
% 19.41/6.01 tff(c_3185, plain, ('#skF_7'!='#skE_3'), inference(splitRight, [status(thm)], [c_964])).
% 19.41/6.01 tff(c_976, plain, (select('#skF_6', '#skF_13')='#skE_3'), inference(define, [status(thm), theory('equality')], [c_949])).
% 19.41/6.01 tff(c_3184, plain, ('#skF_8'='#skE_2'), inference(splitRight, [status(thm)], [c_964])).
% 19.41/6.01 tff(c_236, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $greater('#skF_4', '#skF_5') | $lesseq('#skF_4', '#skF_12')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_393, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $less('#skF_5', '#skF_4') | ~$less('#skF_12', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_236])).
% 19.41/6.01 tff(c_3619, plain, ($less(select('#skF_6', '#skE_2'), '#skF_7') | select('#skF_6', '#skE_2')='#skF_7' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | ~$less('#skF_12', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3184, c_3184, c_393])).
% 19.41/6.01 tff(c_3623, plain, ($less(select('#skF_6', '#skE_2'), '#skF_7') | select('#skF_6', '#skE_2')='#skF_7' | ~$less('#skF_12', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3619])).
% 19.41/6.01 tff(c_3635, plain, (select('#skF_6', '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_3623])).
% 19.41/6.01 tff(c_226, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | ~$lesseq('#skF_4', I_61a) | ~$lesseq(I_61a, '#skF_5'))), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_414, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_226])).
% 19.41/6.01 tff(c_3236, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skF_7' | '#skF_7'='#skE_3' | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(demodulation, [status(thm), theory('equality')], [c_976, c_414])).
% 19.41/6.01 tff(c_3238, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skF_7' | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(negUnitSimplification, [status(thm)], [c_3185, c_3236])).
% 19.41/6.01 tff(c_3751, plain, ('#skF_7'!='#skE_4' | $less('#skE_2', '#skF_4') | $less('#skF_5', '#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_3635, c_3238])).
% 19.41/6.01 tff(c_5153, plain, ('#skF_7'!='#skE_4'), inference(splitLeft, [status(thm)], [c_3751])).
% 19.41/6.01 tff(c_3634, plain, (select('#skF_6', '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_3623])).
% 19.41/6.01 tff(c_3625, plain, (select('#skF_6', '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_3623])).
% 19.41/6.01 tff(c_3624, plain, ($less(select('#skF_6', '#skE_2'), '#skF_7') | select('#skF_6', '#skE_2')='#skF_7' | ~$less('#skF_12', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3619])).
% 19.41/6.01 tff(c_3632, plain, ($less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | ~$less('#skF_12', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_3625, c_3625, c_3624])).
% 19.41/6.01 tff(c_3767, plain, (~$less('#skF_12', '#skF_4')), inference(splitLeft, [status(thm)], [c_3632])).
% 19.41/6.01 tff(c_3769, plain, ('#skF_7'!='#skE_4'), inference(splitLeft, [status(thm)], [c_3751])).
% 19.41/6.01 tff(c_242, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $greater('#skF_4', '#skF_5') | $lesseq('#skF_10', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_381, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $less('#skF_5', '#skF_4') | ~$less('#skF_5', '#skF_10')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_242])).
% 19.41/6.01 tff(c_3784, plain, (~$less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | ~$less('#skF_5', '#skF_10')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_3634, c_3184, c_381])).
% 19.41/6.01 tff(c_3786, plain, (~$less('#skE_4', '#skF_7') | ~$less('#skF_5', '#skF_10')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3769, c_3784])).
% 19.41/6.01 tff(c_3788, plain, (~$less('#skF_5', '#skF_10')), inference(splitLeft, [status(thm)], [c_3786])).
% 19.41/6.01 tff(c_246, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $greater('#skF_4', '#skF_5') | '#skF_9'=$sum('#skF_8', 1)), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_373, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skF_8')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_246])).
% 19.41/6.01 tff(c_3869, plain, (~$less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_3184, c_976, c_3634, c_3184, c_3634, c_3184, c_373])).
% 19.41/6.01 tff(c_3871, plain, (~$less('#skE_4', '#skF_7') | '#skF_9'=$sum(1, '#skE_2')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3769, c_3869])).
% 19.41/6.01 tff(c_3873, plain, (~$less('#skE_4', '#skF_7')), inference(splitLeft, [status(thm)], [c_3871])).
% 19.41/6.01 tff(c_232, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $greater('#skF_4', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_401, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_232])).
% 19.41/6.01 tff(c_3893, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_3634, c_3184, c_401])).
% 19.41/6.01 tff(c_3899, plain, (select('#skF_6', '#skF_12')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3769, c_3873, c_3893])).
% 19.41/6.01 tff(c_4040, plain, ($less('#skF_12', '#skF_4') | $less('#skF_5', '#skF_12')), inference(superposition, [status(thm), theory('equality')], [c_3899, c_3238])).
% 19.41/6.01 tff(c_4060, plain, ($less('#skF_5', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_3767, c_4040])).
% 19.41/6.01 tff(c_238, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $greater('#skF_4', '#skF_5') | $difference('#skF_8', 1)='#skF_11'), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_389, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $less('#skF_5', '#skF_4') | '#skF_8'=$sum(1, '#skF_11')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_238])).
% 19.41/6.01 tff(c_3857, plain, ($less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | $sum(1, '#skF_11')='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_3184, c_976, c_3634, c_3184, c_3634, c_3184, c_389])).
% 19.41/6.01 tff(c_3858, plain, ($less('#skE_4', '#skF_7') | $sum(1, '#skF_11')='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3769, c_3857])).
% 19.41/6.01 tff(c_3860, plain, ($less('#skE_4', '#skF_7') | '#skF_11'=$sum($uminus(1), '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3858])).
% 19.41/6.01 tff(c_3862, plain, ('#skF_11'=$sum($uminus(1), '#skE_2')), inference(splitLeft, [status(thm)], [c_3860])).
% 19.41/6.01 tff(c_234, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $greater('#skF_4', '#skF_5') | $lesseq('#skF_12', '#skF_11')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_397, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $less('#skF_5', '#skF_4') | ~$less('#skF_11', '#skF_12')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_234])).
% 19.41/6.01 tff(c_3759, plain, ($less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | ~$less('#skF_11', '#skF_12')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_3634, c_3184, c_397])).
% 19.41/6.01 tff(c_3761, plain, ($less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | ~$less('#skF_11', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3759])).
% 19.41/6.01 tff(c_3763, plain, (~$less('#skF_11', '#skF_12')), inference(splitLeft, [status(thm)], [c_3761])).
% 19.41/6.01 tff(c_3863, plain, (~$less($sum($uminus(1), '#skE_2'), '#skF_12')), inference(demodulation, [status(thm), theory('equality')], [c_3862, c_3763])).
% 19.41/6.01 tff(c_3866, plain, (~$less('#skE_2', $sum(1, '#skF_12'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3863])).
% 19.41/6.01 tff(c_3199, plain, (div2($sum('#skF_5', '#skF_4'))='#skE_2'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_957])).
% 19.41/6.01 tff(c_3227, plain, (~$less($sum('#skF_5', '#skF_4'), $product(2, '#skE_2'))), inference(superposition, [status(thm), theory('equality')], [c_3199, c_690])).
% 19.41/6.01 tff(c_3229, plain, (~$less($sum('#skF_4', '#skF_5'), $product(2, '#skE_2'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3227])).
% 19.41/6.01 tff(c_4061, plain, $false, inference(close, [status(thm), theory('LIA')], [c_4060, c_3866, c_3229, c_856])).
% 19.41/6.01 tff(c_4065, plain, ($less('#skE_4', '#skF_7')), inference(splitRight, [status(thm)], [c_3871])).
% 19.41/6.01 tff(c_240, plain, (select('#skF_6', '#skF_10')='#skF_7' | ~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $greater('#skF_4', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_385, plain, (select('#skF_6', '#skF_10')='#skF_7' | ~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_240])).
% 19.41/6.01 tff(c_4174, plain, (select('#skF_6', '#skF_10')='#skF_7' | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_4065, c_3634, c_3184, c_385])).
% 19.41/6.01 tff(c_4180, plain, (select('#skF_6', '#skF_10')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3769, c_4174])).
% 19.41/6.01 tff(c_4354, plain, ($less('#skF_10', '#skF_4') | $less('#skF_5', '#skF_10')), inference(superposition, [status(thm), theory('equality')], [c_4180, c_3238])).
% 19.41/6.01 tff(c_4374, plain, ($less('#skF_10', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_3788, c_4354])).
% 19.41/6.01 tff(c_4064, plain, ('#skF_9'=$sum(1, '#skE_2')), inference(splitRight, [status(thm)], [c_3871])).
% 19.41/6.01 tff(c_244, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $greater('#skF_4', '#skF_5') | $lesseq('#skF_9', '#skF_10')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_377, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | select('#skF_6', '#skF_13')='#skF_7' | $less('#skF_5', '#skF_4') | ~$less('#skF_10', '#skF_9')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_244])).
% 19.41/6.01 tff(c_3837, plain, (~$less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | ~$less('#skF_10', '#skF_9')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_3634, c_3184, c_377])).
% 19.41/6.01 tff(c_3839, plain, (~$less('#skE_4', '#skF_7') | ~$less('#skF_10', '#skF_9')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3769, c_3837])).
% 19.41/6.01 tff(c_3841, plain, (~$less('#skF_10', '#skF_9')), inference(splitLeft, [status(thm)], [c_3839])).
% 19.41/6.01 tff(c_4068, plain, (~$less('#skF_10', $sum(1, '#skE_2'))), inference(demodulation, [status(thm), theory('equality')], [c_4064, c_3841])).
% 19.41/6.01 tff(c_3224, plain, ($less($sum('#skF_5', '#skF_4'), $sum(2, $product(2, '#skE_2')))), inference(superposition, [status(thm), theory('equality')], [c_3199, c_691])).
% 19.41/6.01 tff(c_3226, plain, ($less($sum('#skF_4', '#skF_5'), $sum(2, $product(2, '#skE_2')))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3224])).
% 19.41/6.01 tff(c_4375, plain, $false, inference(close, [status(thm), theory('LIA')], [c_4374, c_4068, c_3226, c_856])).
% 19.41/6.01 tff(c_4378, plain, ($less('#skE_4', '#skF_7')), inference(splitRight, [status(thm)], [c_3860])).
% 19.41/6.01 tff(c_4491, plain, (select('#skF_6', '#skF_10')='#skF_7' | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_4378, c_3634, c_3184, c_385])).
% 19.41/6.01 tff(c_4497, plain, (select('#skF_6', '#skF_10')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3769, c_4491])).
% 19.41/6.01 tff(c_4671, plain, ($less('#skF_10', '#skF_4') | $less('#skF_5', '#skF_10')), inference(superposition, [status(thm), theory('equality')], [c_4497, c_3238])).
% 19.41/6.01 tff(c_4691, plain, ($less('#skF_10', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_3788, c_4671])).
% 19.41/6.01 tff(c_4380, plain, (~$less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_3184, c_976, c_3634, c_3184, c_3634, c_3184, c_373])).
% 19.41/6.01 tff(c_4382, plain, (~$less('#skE_4', '#skF_7') | '#skF_9'=$sum(1, '#skE_2')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3769, c_4380])).
% 19.41/6.01 tff(c_4384, plain, (~$less('#skE_4', '#skF_7')), inference(splitLeft, [status(thm)], [c_4382])).
% 19.41/6.01 tff(c_4385, plain, $false, inference(negUnitSimplification, [status(thm)], [c_4384, c_4378])).
% 19.41/6.01 tff(c_4388, plain, ('#skF_9'=$sum(1, '#skE_2')), inference(splitRight, [status(thm)], [c_4382])).
% 19.41/6.01 tff(c_4393, plain, (~$less('#skF_10', $sum(1, '#skE_2'))), inference(demodulation, [status(thm), theory('equality')], [c_4388, c_3841])).
% 19.41/6.01 tff(c_4692, plain, $false, inference(close, [status(thm), theory('LIA')], [c_4691, c_4393, c_3226, c_856])).
% 19.41/6.01 tff(c_4695, plain, (~$less('#skE_4', '#skF_7')), inference(splitRight, [status(thm)], [c_3839])).
% 19.41/6.01 tff(c_4727, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_3634, c_3184, c_401])).
% 19.41/6.01 tff(c_4733, plain, (select('#skF_6', '#skF_12')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3769, c_4695, c_4727])).
% 19.41/6.01 tff(c_4869, plain, ($less('#skF_12', '#skF_4') | $less('#skF_5', '#skF_12')), inference(superposition, [status(thm), theory('equality')], [c_4733, c_3238])).
% 19.41/6.01 tff(c_4889, plain, ($less('#skF_5', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_3767, c_4869])).
% 19.41/6.01 tff(c_4709, plain, ($less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | $sum(1, '#skF_11')='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_3184, c_976, c_3634, c_3184, c_3634, c_3184, c_389])).
% 19.41/6.01 tff(c_4710, plain, ($sum(1, '#skF_11')='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3769, c_4695, c_4709])).
% 19.41/6.01 tff(c_4712, plain, ('#skF_11'=$sum($uminus(1), '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_4710])).
% 19.41/6.01 tff(c_4713, plain, (~$less($sum($uminus(1), '#skE_2'), '#skF_12')), inference(demodulation, [status(thm), theory('equality')], [c_4712, c_3763])).
% 19.41/6.01 tff(c_4716, plain, (~$less('#skE_2', $sum(1, '#skF_12'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_4713])).
% 19.41/6.01 tff(c_4890, plain, $false, inference(close, [status(thm), theory('LIA')], [c_4889, c_4716, c_3229, c_856])).
% 19.41/6.01 tff(c_4893, plain, (~$less('#skE_4', '#skF_7')), inference(splitRight, [status(thm)], [c_3786])).
% 19.41/6.01 tff(c_4959, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_3634, c_3184, c_401])).
% 19.41/6.01 tff(c_4965, plain, (select('#skF_6', '#skF_12')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3769, c_4893, c_4959])).
% 19.41/6.01 tff(c_5101, plain, ($less('#skF_12', '#skF_4') | $less('#skF_5', '#skF_12')), inference(superposition, [status(thm), theory('equality')], [c_4965, c_3238])).
% 19.41/6.01 tff(c_5119, plain, ($less('#skF_5', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_3767, c_5101])).
% 19.41/6.01 tff(c_4906, plain, ($less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | $sum(1, '#skF_11')='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_3184, c_976, c_3634, c_3184, c_3634, c_3184, c_389])).
% 19.41/6.01 tff(c_4907, plain, ($sum(1, '#skF_11')='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_3769, c_4893, c_4906])).
% 19.41/6.01 tff(c_4909, plain, ('#skF_11'=$sum($uminus(1), '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_4907])).
% 19.41/6.01 tff(c_4910, plain, (~$less($sum($uminus(1), '#skE_2'), '#skF_12')), inference(demodulation, [status(thm), theory('equality')], [c_4909, c_3763])).
% 19.41/6.01 tff(c_4913, plain, (~$less('#skE_2', $sum(1, '#skF_12'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_4910])).
% 19.41/6.01 tff(c_5120, plain, $false, inference(close, [status(thm), theory('LIA')], [c_5119, c_4913, c_3229, c_856])).
% 19.41/6.01 tff(c_5123, plain, ($less('#skF_5', '#skE_2') | $less('#skE_2', '#skF_4')), inference(splitRight, [status(thm)], [c_3751])).
% 19.41/6.01 tff(c_5135, plain, ($less('#skE_2', '#skF_4')), inference(splitLeft, [status(thm)], [c_5123])).
% 19.41/6.01 tff(c_5140, plain, $false, inference(close, [status(thm), theory('LIA')], [c_5135, c_3226, c_856])).
% 19.41/6.01 tff(c_5143, plain, ($less('#skF_5', '#skE_2')), inference(splitRight, [status(thm)], [c_5123])).
% 19.41/6.01 tff(c_5145, plain, $false, inference(close, [status(thm), theory('LIA')], [c_5143, c_3229, c_856])).
% 19.41/6.01 tff(c_5148, plain, ('#skF_7'='#skE_4' | $less('#skE_4', '#skF_7')), inference(splitRight, [status(thm)], [c_3632])).
% 19.41/6.01 tff(c_5151, plain, ($less('#skE_4', '#skF_7')), inference(splitLeft, [status(thm)], [c_5148])).
% 19.41/6.01 tff(c_5169, plain, ('#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | ~$less('#skF_5', '#skF_10')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_5151, c_3634, c_3184, c_381])).
% 19.41/6.01 tff(c_5171, plain, (~$less('#skF_5', '#skF_10')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_5153, c_5169])).
% 19.41/6.01 tff(c_5333, plain, (select('#skF_6', '#skF_10')='#skF_7' | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_5151, c_3634, c_3184, c_385])).
% 19.41/6.01 tff(c_5339, plain, (select('#skF_6', '#skF_10')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_5153, c_5333])).
% 19.41/6.01 tff(c_5513, plain, ($less('#skF_10', '#skF_4') | $less('#skF_5', '#skF_10')), inference(superposition, [status(thm), theory('equality')], [c_5339, c_3238])).
% 19.41/6.01 tff(c_5534, plain, ($less('#skF_10', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_5171, c_5513])).
% 19.41/6.01 tff(c_5232, plain, ('#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_3184, c_976, c_3634, c_3184, c_5151, c_3634, c_3184, c_373])).
% 19.41/6.01 tff(c_5234, plain, ('#skF_9'=$sum(1, '#skE_2')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_5153, c_5232])).
% 19.41/6.01 tff(c_5182, plain, ('#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | ~$less('#skF_10', '#skF_9')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_5151, c_3634, c_3184, c_377])).
% 19.41/6.01 tff(c_5184, plain, (~$less('#skF_10', '#skF_9')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_5153, c_5182])).
% 19.41/6.01 tff(c_5237, plain, (~$less('#skF_10', $sum(1, '#skE_2'))), inference(demodulation, [status(thm), theory('equality')], [c_5234, c_5184])).
% 19.41/6.01 tff(c_5535, plain, $false, inference(close, [status(thm), theory('LIA')], [c_5534, c_5237, c_3226, c_856])).
% 19.41/6.01 tff(c_5539, plain, ('#skF_7'='#skE_4'), inference(splitRight, [status(thm)], [c_3751])).
% 19.41/6.01 tff(c_5540, plain, ($less('#skE_4', '#skE_4')), inference(demodulation, [status(thm), theory('equality')], [c_5539, c_5151])).
% 19.41/6.01 tff(c_5547, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_5540])).
% 19.41/6.01 tff(c_5550, plain, ('#skF_7'='#skE_4'), inference(splitRight, [status(thm)], [c_5148])).
% 19.41/6.01 tff(c_5567, plain, ($less('#skE_2', '#skF_4') | $less('#skF_5', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_5550, c_3751])).
% 19.41/6.01 tff(c_5569, plain, ($less('#skF_5', '#skE_2')), inference(splitLeft, [status(thm)], [c_5567])).
% 19.41/6.01 tff(c_5570, plain, $false, inference(close, [status(thm), theory('LIA')], [c_5569, c_3229, c_856])).
% 19.41/6.01 tff(c_5573, plain, ($less('#skE_2', '#skF_4')), inference(splitRight, [status(thm)], [c_5567])).
% 19.41/6.01 tff(c_5585, plain, $false, inference(close, [status(thm), theory('LIA')], [c_5573, c_3226, c_856])).
% 19.41/6.01 tff(c_5588, plain, ('#skF_7'='#skE_4' | $less('#skE_4', '#skF_7')), inference(splitRight, [status(thm)], [c_3761])).
% 19.41/6.01 tff(c_6044, plain, ($less('#skE_4', '#skF_7')), inference(splitLeft, [status(thm)], [c_5588])).
% 19.41/6.01 tff(c_5592, plain, (~$less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | ~$less('#skF_5', '#skF_10')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_3634, c_3184, c_381])).
% 19.41/6.01 tff(c_5594, plain, (~$less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | ~$less('#skF_5', '#skF_10')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_5592])).
% 19.41/6.01 tff(c_5596, plain, (~$less('#skF_5', '#skF_10')), inference(splitLeft, [status(thm)], [c_5594])).
% 19.41/6.01 tff(c_5602, plain, ('#skF_7'!='#skE_4'), inference(splitLeft, [status(thm)], [c_3751])).
% 19.41/6.01 tff(c_5598, plain, ($less('#skE_4', '#skF_7')), inference(splitLeft, [status(thm)], [c_5588])).
% 19.41/6.01 tff(c_5778, plain, (select('#skF_6', '#skF_10')='#skF_7' | '#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_5598, c_3634, c_3184, c_385])).
% 19.41/6.01 tff(c_5784, plain, (select('#skF_6', '#skF_10')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_5602, c_5778])).
% 19.41/6.01 tff(c_5958, plain, ($less('#skF_10', '#skF_4') | $less('#skF_5', '#skF_10')), inference(superposition, [status(thm), theory('equality')], [c_5784, c_3238])).
% 19.41/6.01 tff(c_5976, plain, ($less('#skF_10', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_5596, c_5958])).
% 19.41/6.01 tff(c_5659, plain, ('#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_3184, c_976, c_3634, c_3184, c_5598, c_3634, c_3184, c_373])).
% 19.41/6.01 tff(c_5661, plain, ('#skF_9'=$sum(1, '#skE_2')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_5602, c_5659])).
% 19.41/6.01 tff(c_5606, plain, ('#skF_7'='#skE_4' | '#skF_7'='#skE_3' | $less('#skF_5', '#skF_4') | ~$less('#skF_10', '#skF_9')), inference(demodulation, [status(thm), theory('equality')], [c_976, c_3634, c_3184, c_5598, c_3634, c_3184, c_377])).
% 19.41/6.01 tff(c_5608, plain, (~$less('#skF_10', '#skF_9')), inference(negUnitSimplification, [status(thm)], [c_856, c_3185, c_5602, c_5606])).
% 19.41/6.01 tff(c_5664, plain, (~$less('#skF_10', $sum(1, '#skE_2'))), inference(demodulation, [status(thm), theory('equality')], [c_5661, c_5608])).
% 19.41/6.01 tff(c_5977, plain, $false, inference(close, [status(thm), theory('LIA')], [c_5976, c_5664, c_3226, c_856])).
% 19.41/6.01 tff(c_5981, plain, ('#skF_7'='#skE_4'), inference(splitRight, [status(thm)], [c_3751])).
% 19.41/6.01 tff(c_5988, plain, ($less('#skE_4', '#skE_4')), inference(demodulation, [status(thm), theory('equality')], [c_5981, c_5598])).
% 19.41/6.01 tff(c_5995, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_5988])).
% 19.41/6.01 tff(c_5998, plain, ('#skF_7'='#skE_4'), inference(splitRight, [status(thm)], [c_5588])).
% 19.41/6.01 tff(c_6017, plain, ($less('#skE_2', '#skF_4') | $less('#skF_5', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_5998, c_3751])).
% 19.41/6.01 tff(c_6019, plain, ($less('#skF_5', '#skE_2')), inference(splitLeft, [status(thm)], [c_6017])).
% 19.41/6.01 tff(c_6020, plain, $false, inference(close, [status(thm), theory('LIA')], [c_6019, c_3229, c_856])).
% 19.41/6.01 tff(c_6023, plain, ($less('#skE_2', '#skF_4')), inference(splitRight, [status(thm)], [c_6017])).
% 19.41/6.01 tff(c_6035, plain, $false, inference(close, [status(thm), theory('LIA')], [c_6023, c_3226, c_856])).
% 19.41/6.01 tff(c_6038, plain, (~$less('#skE_4', '#skF_7') | '#skF_7'='#skE_4'), inference(splitRight, [status(thm)], [c_5594])).
% 19.41/6.01 tff(c_6047, plain, ('#skF_7'='#skE_4'), inference(demodulation, [status(thm), theory('equality')], [c_6044, c_6038])).
% 19.41/6.01 tff(c_6048, plain, ($less('#skE_4', '#skE_4')), inference(demodulation, [status(thm), theory('equality')], [c_6047, c_6044])).
% 19.41/6.01 tff(c_6055, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_6048])).
% 19.41/6.01 tff(c_6058, plain, ('#skF_7'='#skE_4'), inference(splitRight, [status(thm)], [c_5588])).
% 19.41/6.01 tff(c_6081, plain, ($less('#skE_2', '#skF_4') | $less('#skF_5', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_6058, c_3751])).
% 19.41/6.01 tff(c_6083, plain, ($less('#skF_5', '#skE_2')), inference(splitLeft, [status(thm)], [c_6081])).
% 19.41/6.01 tff(c_6084, plain, $false, inference(close, [status(thm), theory('LIA')], [c_6083, c_3229, c_856])).
% 19.41/6.01 tff(c_6087, plain, ($less('#skE_2', '#skF_4')), inference(splitRight, [status(thm)], [c_6081])).
% 19.41/6.01 tff(c_6089, plain, $false, inference(close, [status(thm), theory('LIA')], [c_6087, c_3226, c_856])).
% 19.41/6.01 tff(c_6093, plain, ($less('#skF_5', '#skF_13')), inference(splitRight, [status(thm)], [c_369])).
% 19.41/6.01 tff(c_266, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_13', '#skF_5') | $greater('#skF_4', '#skF_5') | $lesseq('#skF_9', '#skF_10')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_338, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_5', '#skF_13') | $less('#skF_5', '#skF_4') | ~$less('#skF_10', '#skF_9')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_266])).
% 19.41/6.01 tff(c_6275, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $less('#skF_5', '#skF_4') | ~$less('#skF_10', '#skF_9')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_338])).
% 19.41/6.01 tff(c_6279, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_10', '#skF_9')), inference(negUnitSimplification, [status(thm)], [c_856, c_6275])).
% 19.41/6.01 tff(c_6291, plain, (select('#skF_6', '#skF_8')='#skE_5'), inference(define, [status(thm), theory('equality')], [c_6279])).
% 19.41/6.01 tff(c_6092, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skF_7' | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(splitRight, [status(thm)], [c_369])).
% 19.41/6.01 tff(c_6347, plain, ('#skF_7'!='#skE_5' | $less('#skF_8', '#skF_4') | $less('#skF_5', '#skF_8')), inference(superposition, [status(thm), theory('equality')], [c_6291, c_6092])).
% 19.41/6.01 tff(c_8146, plain, ('#skF_7'!='#skE_5'), inference(splitLeft, [status(thm)], [c_6347])).
% 19.41/6.01 tff(c_6356, plain, ('#skF_7'!='#skE_5'), inference(splitLeft, [status(thm)], [c_6347])).
% 19.41/6.01 tff(c_6290, plain, (select('#skF_6', '#skF_8')='#skE_5'), inference(define, [status(thm), theory('equality')], [c_6279])).
% 19.41/6.01 tff(c_264, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_13', '#skF_5') | $greater('#skF_4', '#skF_5') | $lesseq('#skF_10', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_342, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_5', '#skF_13') | $less('#skF_5', '#skF_4') | ~$less('#skF_5', '#skF_10')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_264])).
% 19.41/6.01 tff(c_6369, plain, (~$less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | ~$less('#skF_5', '#skF_10')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6290, c_342])).
% 19.41/6.01 tff(c_6371, plain, (~$less('#skE_5', '#skF_7') | ~$less('#skF_5', '#skF_10')), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_6369])).
% 19.41/6.01 tff(c_6373, plain, (~$less('#skF_5', '#skF_10')), inference(splitLeft, [status(thm)], [c_6371])).
% 19.41/6.01 tff(c_258, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_13', '#skF_5') | $greater('#skF_4', '#skF_5') | $lesseq('#skF_4', '#skF_12')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_354, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_5', '#skF_13') | $less('#skF_5', '#skF_4') | ~$less('#skF_12', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_258])).
% 19.41/6.01 tff(c_6454, plain, ($less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | ~$less('#skF_12', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6290, c_354])).
% 19.41/6.01 tff(c_6456, plain, ($less('#skE_5', '#skF_7') | ~$less('#skF_12', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_6454])).
% 19.41/6.01 tff(c_6458, plain, (~$less('#skF_12', '#skF_4')), inference(splitLeft, [status(thm)], [c_6456])).
% 19.41/6.01 tff(c_268, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_13', '#skF_5') | $greater('#skF_4', '#skF_5') | '#skF_9'=$sum('#skF_8', 1)), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_334, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_5', '#skF_13') | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skF_8')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_268])).
% 19.41/6.01 tff(c_6460, plain, (~$less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skF_8')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6290, c_334])).
% 19.41/6.01 tff(c_6462, plain, (~$less('#skE_5', '#skF_7') | '#skF_9'=$sum(1, '#skF_8')), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_6460])).
% 19.41/6.01 tff(c_6464, plain, (~$less('#skE_5', '#skF_7')), inference(splitLeft, [status(thm)], [c_6462])).
% 19.41/6.01 tff(c_260, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_13', '#skF_5') | $greater('#skF_4', '#skF_5') | $difference('#skF_8', 1)='#skF_11'), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_350, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_5', '#skF_13') | $less('#skF_5', '#skF_4') | '#skF_8'=$sum(1, '#skF_11')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_260])).
% 19.41/6.01 tff(c_6470, plain, ($less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | '#skF_8'=$sum(1, '#skF_11')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6290, c_350])).
% 19.41/6.01 tff(c_6472, plain, ('#skF_8'=$sum(1, '#skF_11')), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_6464, c_6470])).
% 19.41/6.01 tff(c_6287, plain, (select('#skF_6', '#skF_8')='#skE_5'), inference(define, [status(thm), theory('equality')], [c_6279])).
% 19.41/6.01 tff(c_6566, plain, (select('#skF_6', $sum(1, '#skF_11'))='#skE_5'), inference(demodulation, [status(thm), theory('equality')], [c_6472, c_6287])).
% 19.41/6.01 tff(c_254, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_13', '#skF_5') | $greater('#skF_4', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_362, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_5', '#skF_13') | $less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_254])).
% 19.41/6.01 tff(c_6757, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6566, c_6472, c_6566, c_6472, c_362])).
% 19.41/6.01 tff(c_6763, plain, (select('#skF_6', '#skF_12')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_6464, c_6757])).
% 19.41/6.01 tff(c_6853, plain, ($less('#skF_12', '#skF_4') | $less('#skF_5', '#skF_12')), inference(superposition, [status(thm), theory('equality')], [c_6763, c_6092])).
% 19.41/6.01 tff(c_6863, plain, ($less('#skF_5', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_6458, c_6853])).
% 19.41/6.01 tff(c_252, plain, (div2($sum('#skF_5', '#skF_4'))='#skF_8' | $lesseq('#skF_13', '#skF_5') | $greater('#skF_4', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_364, plain, (div2($sum('#skF_4', '#skF_5'))='#skF_8' | ~$less('#skF_5', '#skF_13') | $less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_252])).
% 19.41/6.01 tff(c_367, plain, (div2($sum('#skF_5', '#skF_4'))='#skF_8' | ~$less('#skF_5', '#skF_13') | $less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_364])).
% 19.41/6.01 tff(c_6097, plain, (div2($sum('#skF_5', '#skF_4'))='#skF_8' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_367])).
% 19.41/6.01 tff(c_6099, plain, (div2($sum('#skF_5', '#skF_4'))='#skF_8'), inference(negUnitSimplification, [status(thm)], [c_856, c_6097])).
% 19.41/6.01 tff(c_6104, plain, (div2($sum('#skF_4', '#skF_5'))='#skF_8'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_6099])).
% 19.41/6.01 tff(c_6123, plain, (~$less($sum('#skF_4', '#skF_5'), $product(2, '#skF_8'))), inference(superposition, [status(thm), theory('equality')], [c_6104, c_690])).
% 19.41/6.01 tff(c_6125, plain, (~$less($sum('#skF_5', '#skF_4'), $product(2, '#skF_8'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_6123])).
% 19.41/6.01 tff(c_6520, plain, (~$less($sum('#skF_5', '#skF_4'), $product(2, $sum(1, '#skF_11')))), inference(demodulation, [status(thm), theory('equality')], [c_6472, c_6125])).
% 19.41/6.01 tff(c_6522, plain, (~$less($sum('#skF_4', '#skF_5'), $sum(2, $product(2, '#skF_11')))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_6520])).
% 19.41/6.01 tff(c_6557, plain, (~$less($sum('#skF_5', '#skF_4'), $sum(2, $product(2, '#skF_11')))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_6522])).
% 19.41/6.01 tff(c_256, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_13', '#skF_5') | $greater('#skF_4', '#skF_5') | $lesseq('#skF_12', '#skF_11')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_358, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_5', '#skF_13') | $less('#skF_5', '#skF_4') | ~$less('#skF_11', '#skF_12')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_256])).
% 19.41/6.01 tff(c_6419, plain, ($less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | ~$less('#skF_11', '#skF_12')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6290, c_358])).
% 19.41/6.01 tff(c_6421, plain, ($less('#skE_5', '#skF_7') | ~$less('#skF_11', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_6419])).
% 19.41/6.01 tff(c_6423, plain, (~$less('#skF_11', '#skF_12')), inference(splitLeft, [status(thm)], [c_6421])).
% 19.41/6.01 tff(c_6864, plain, $false, inference(close, [status(thm), theory('LIA')], [c_6863, c_6557, c_6423, c_856])).
% 19.41/6.01 tff(c_6868, plain, ($less('#skE_5', '#skF_7')), inference(splitRight, [status(thm)], [c_6462])).
% 19.41/6.01 tff(c_262, plain, (select('#skF_6', '#skF_10')='#skF_7' | ~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_13', '#skF_5') | $greater('#skF_4', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_346, plain, (select('#skF_6', '#skF_10')='#skF_7' | ~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_5', '#skF_13') | $less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_262])).
% 19.41/6.01 tff(c_6947, plain, (select('#skF_6', '#skF_10')='#skF_7' | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6868, c_6290, c_346])).
% 19.41/6.01 tff(c_6953, plain, (select('#skF_6', '#skF_10')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_6947])).
% 19.41/6.01 tff(c_7081, plain, ($less('#skF_10', '#skF_4') | $less('#skF_5', '#skF_10')), inference(superposition, [status(thm), theory('equality')], [c_6953, c_6092])).
% 19.41/6.01 tff(c_7091, plain, ($less('#skF_10', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_6373, c_7081])).
% 19.41/6.01 tff(c_6867, plain, ('#skF_9'=$sum(1, '#skF_8')), inference(splitRight, [status(thm)], [c_6462])).
% 19.41/6.01 tff(c_6281, plain, (select('#skF_6', '#skF_8')='#skE_5'), inference(define, [status(thm), theory('equality')], [c_6279])).
% 19.41/6.01 tff(c_6280, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_10', '#skF_9')), inference(negUnitSimplification, [status(thm)], [c_856, c_6275])).
% 19.41/6.01 tff(c_6288, plain, (~$less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | ~$less('#skF_10', '#skF_9')), inference(demodulation, [status(thm), theory('equality')], [c_6281, c_6281, c_6280])).
% 19.41/6.01 tff(c_6352, plain, (~$less('#skF_10', '#skF_9')), inference(splitLeft, [status(thm)], [c_6288])).
% 19.41/6.01 tff(c_6871, plain, (~$less('#skF_10', $sum(1, '#skF_8'))), inference(demodulation, [status(thm), theory('equality')], [c_6867, c_6352])).
% 19.41/6.01 tff(c_6120, plain, ($less($sum('#skF_4', '#skF_5'), $sum(2, $product(2, '#skF_8')))), inference(superposition, [status(thm), theory('equality')], [c_6104, c_691])).
% 19.41/6.01 tff(c_6122, plain, ($less($sum('#skF_5', '#skF_4'), $sum(2, $product(2, '#skF_8')))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_6120])).
% 19.41/6.01 tff(c_7092, plain, $false, inference(close, [status(thm), theory('LIA')], [c_7091, c_6871, c_6122, c_856])).
% 19.41/6.01 tff(c_7095, plain, ($less('#skE_5', '#skF_7')), inference(splitRight, [status(thm)], [c_6456])).
% 19.41/6.01 tff(c_7208, plain, (select('#skF_6', '#skF_10')='#skF_7' | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_7095, c_6290, c_346])).
% 19.41/6.01 tff(c_7214, plain, (select('#skF_6', '#skF_10')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_7208])).
% 19.41/6.01 tff(c_7342, plain, ($less('#skF_10', '#skF_4') | $less('#skF_5', '#skF_10')), inference(superposition, [status(thm), theory('equality')], [c_7214, c_6092])).
% 19.41/6.01 tff(c_7352, plain, ($less('#skF_10', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_6373, c_7342])).
% 19.41/6.01 tff(c_7098, plain, (~$less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skF_8')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6290, c_334])).
% 19.41/6.01 tff(c_7100, plain, (~$less('#skE_5', '#skF_7') | '#skF_9'=$sum(1, '#skF_8')), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_7098])).
% 19.41/6.01 tff(c_7102, plain, (~$less('#skE_5', '#skF_7')), inference(splitLeft, [status(thm)], [c_7100])).
% 19.41/6.01 tff(c_7103, plain, $false, inference(negUnitSimplification, [status(thm)], [c_7102, c_7095])).
% 19.41/6.01 tff(c_7106, plain, ('#skF_9'=$sum(1, '#skF_8')), inference(splitRight, [status(thm)], [c_7100])).
% 19.41/6.01 tff(c_7111, plain, (~$less('#skF_10', $sum(1, '#skF_8'))), inference(demodulation, [status(thm), theory('equality')], [c_7106, c_6352])).
% 19.41/6.01 tff(c_7353, plain, $false, inference(close, [status(thm), theory('LIA')], [c_7352, c_7111, c_6122, c_856])).
% 19.41/6.01 tff(c_7356, plain, ($less('#skE_5', '#skF_7')), inference(splitRight, [status(thm)], [c_6421])).
% 19.41/6.01 tff(c_7468, plain, (select('#skF_6', '#skF_10')='#skF_7' | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_7356, c_6290, c_346])).
% 19.41/6.01 tff(c_7474, plain, (select('#skF_6', '#skF_10')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_7468])).
% 19.41/6.01 tff(c_7602, plain, ($less('#skF_10', '#skF_4') | $less('#skF_5', '#skF_10')), inference(superposition, [status(thm), theory('equality')], [c_7474, c_6092])).
% 19.41/6.01 tff(c_7612, plain, ($less('#skF_10', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_6373, c_7602])).
% 19.41/6.01 tff(c_7396, plain, ('#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skF_8')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_7356, c_6290, c_334])).
% 19.41/6.01 tff(c_7398, plain, ('#skF_9'=$sum(1, '#skF_8')), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_7396])).
% 19.41/6.01 tff(c_7401, plain, (~$less('#skF_10', $sum(1, '#skF_8'))), inference(demodulation, [status(thm), theory('equality')], [c_7398, c_6352])).
% 19.41/6.01 tff(c_7613, plain, $false, inference(close, [status(thm), theory('LIA')], [c_7612, c_7401, c_6122, c_856])).
% 19.41/6.01 tff(c_7616, plain, (~$less('#skE_5', '#skF_7')), inference(splitRight, [status(thm)], [c_6371])).
% 19.41/6.01 tff(c_7671, plain, ($less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | ~$less('#skF_12', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6290, c_354])).
% 19.41/6.01 tff(c_7673, plain, (~$less('#skF_12', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_7616, c_7671])).
% 19.41/6.01 tff(c_7684, plain, ($less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | '#skF_8'=$sum(1, '#skF_11')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6290, c_350])).
% 19.41/6.01 tff(c_7686, plain, ('#skF_8'=$sum(1, '#skF_11')), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_7616, c_7684])).
% 19.41/6.01 tff(c_7780, plain, (select('#skF_6', $sum(1, '#skF_11'))='#skE_5'), inference(demodulation, [status(thm), theory('equality')], [c_7686, c_6287])).
% 19.41/6.01 tff(c_8009, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_7780, c_7686, c_7780, c_7686, c_362])).
% 19.41/6.01 tff(c_8015, plain, (select('#skF_6', '#skF_12')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_7616, c_8009])).
% 19.41/6.01 tff(c_8105, plain, ($less('#skF_12', '#skF_4') | $less('#skF_5', '#skF_12')), inference(superposition, [status(thm), theory('equality')], [c_8015, c_6092])).
% 19.41/6.01 tff(c_8115, plain, ($less('#skF_5', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_7673, c_8105])).
% 19.41/6.01 tff(c_7734, plain, (~$less($sum('#skF_5', '#skF_4'), $product(2, $sum(1, '#skF_11')))), inference(demodulation, [status(thm), theory('equality')], [c_7686, c_6125])).
% 19.41/6.01 tff(c_7736, plain, (~$less($sum('#skF_4', '#skF_5'), $sum(2, $product(2, '#skF_11')))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_7734])).
% 19.41/6.01 tff(c_7771, plain, (~$less($sum('#skF_5', '#skF_4'), $sum(2, $product(2, '#skF_11')))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_7736])).
% 19.41/6.01 tff(c_7619, plain, ($less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | ~$less('#skF_11', '#skF_12')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6290, c_358])).
% 19.41/6.01 tff(c_7621, plain, (~$less('#skF_11', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_856, c_6356, c_7616, c_7619])).
% 19.41/6.01 tff(c_8116, plain, $false, inference(close, [status(thm), theory('LIA')], [c_8115, c_7771, c_7621, c_856])).
% 19.41/6.01 tff(c_8119, plain, ($less('#skF_5', '#skF_8') | $less('#skF_8', '#skF_4')), inference(splitRight, [status(thm)], [c_6347])).
% 19.41/6.01 tff(c_8125, plain, ($less('#skF_8', '#skF_4')), inference(splitLeft, [status(thm)], [c_8119])).
% 19.41/6.01 tff(c_8131, plain, $false, inference(close, [status(thm), theory('LIA')], [c_8125, c_6122, c_856])).
% 19.41/6.01 tff(c_8134, plain, ($less('#skF_5', '#skF_8')), inference(splitRight, [status(thm)], [c_8119])).
% 19.41/6.01 tff(c_8136, plain, $false, inference(close, [status(thm), theory('LIA')], [c_8134, c_6125, c_856])).
% 19.41/6.01 tff(c_8139, plain, (~$less('#skE_5', '#skF_7') | '#skF_7'='#skE_5'), inference(splitRight, [status(thm)], [c_6288])).
% 19.41/6.01 tff(c_8144, plain, (~$less('#skE_5', '#skF_7')), inference(splitLeft, [status(thm)], [c_8139])).
% 19.41/6.01 tff(c_8215, plain, ($less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | ~$less('#skF_12', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6290, c_354])).
% 19.41/6.01 tff(c_8217, plain, (~$less('#skF_12', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_856, c_8146, c_8144, c_8215])).
% 19.41/6.01 tff(c_8228, plain, ($less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | '#skF_8'=$sum(1, '#skF_11')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6290, c_350])).
% 19.41/6.01 tff(c_8230, plain, ('#skF_8'=$sum(1, '#skF_11')), inference(negUnitSimplification, [status(thm)], [c_856, c_8146, c_8144, c_8228])).
% 19.41/6.01 tff(c_8321, plain, (select('#skF_6', $sum(1, '#skF_11'))='#skE_5'), inference(demodulation, [status(thm), theory('equality')], [c_8230, c_6287])).
% 19.41/6.01 tff(c_8606, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_8321, c_8230, c_8321, c_8230, c_362])).
% 19.41/6.01 tff(c_8612, plain, (select('#skF_6', '#skF_12')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_8146, c_8144, c_8606])).
% 19.41/6.01 tff(c_8722, plain, ($less('#skF_12', '#skF_4') | $less('#skF_5', '#skF_12')), inference(superposition, [status(thm), theory('equality')], [c_8612, c_6092])).
% 19.41/6.01 tff(c_8735, plain, ($less('#skF_5', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_8217, c_8722])).
% 19.41/6.01 tff(c_8278, plain, (~$less($sum('#skF_5', '#skF_4'), $product(2, $sum(1, '#skF_11')))), inference(demodulation, [status(thm), theory('equality')], [c_8230, c_6125])).
% 19.41/6.01 tff(c_8280, plain, (~$less($sum('#skF_4', '#skF_5'), $sum(2, $product(2, '#skF_11')))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_8278])).
% 19.41/6.01 tff(c_8315, plain, (~$less($sum('#skF_5', '#skF_4'), $sum(2, $product(2, '#skF_11')))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_8280])).
% 19.41/6.01 tff(c_8160, plain, ($less('#skE_5', '#skF_7') | '#skF_7'='#skE_5' | $less('#skF_5', '#skF_4') | ~$less('#skF_11', '#skF_12')), inference(demodulation, [status(thm), theory('equality')], [c_6093, c_6290, c_6290, c_358])).
% 19.41/6.01 tff(c_8162, plain, (~$less('#skF_11', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_856, c_8146, c_8144, c_8160])).
% 19.41/6.01 tff(c_8736, plain, $false, inference(close, [status(thm), theory('LIA')], [c_8735, c_8315, c_8162, c_856])).
% 19.41/6.01 tff(c_8739, plain, ($less('#skF_5', '#skF_8') | $less('#skF_8', '#skF_4')), inference(splitRight, [status(thm)], [c_6347])).
% 19.41/6.01 tff(c_8751, plain, ($less('#skF_8', '#skF_4')), inference(splitLeft, [status(thm)], [c_8739])).
% 19.41/6.01 tff(c_8752, plain, $false, inference(close, [status(thm), theory('LIA')], [c_8751, c_6122, c_856])).
% 19.41/6.01 tff(c_8755, plain, ($less('#skF_5', '#skF_8')), inference(splitRight, [status(thm)], [c_8739])).
% 19.41/6.01 tff(c_8757, plain, $false, inference(close, [status(thm), theory('LIA')], [c_8755, c_6125, c_856])).
% 19.41/6.01 tff(c_8760, plain, ('#skF_7'='#skE_5'), inference(splitRight, [status(thm)], [c_8139])).
% 19.41/6.01 tff(c_8761, plain, ($less('#skE_5', '#skF_7')), inference(splitRight, [status(thm)], [c_8139])).
% 19.41/6.01 tff(c_8765, plain, ($less('#skE_5', '#skE_5')), inference(demodulation, [status(thm), theory('equality')], [c_8760, c_8761])).
% 19.41/6.01 tff(c_8767, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_8765])).
% 19.41/6.01 tff(c_8771, plain, ($less('#skF_13', '#skF_4')), inference(splitRight, [status(thm)], [c_330])).
% 19.41/6.01 tff(c_8774, plain, (div2($sum('#skF_5', '#skF_4'))='#skF_8' | ~$less('#skF_5', '#skF_13')), inference(negUnitSimplification, [status(thm)], [c_856, c_367])).
% 19.41/6.01 tff(c_8777, plain, (div2($sum('#skF_4', '#skF_5'))='#skF_8' | ~$less('#skF_5', '#skF_13')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_8774])).
% 19.41/6.01 tff(c_8783, plain, (div2($sum('#skF_4', '#skF_5'))='#skE_2'), inference(define, [status(thm), theory('equality')], [c_8777])).
% 19.41/6.01 tff(c_8791, plain, (div2($sum('#skF_5', '#skF_4'))='#skE_2'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_8783])).
% 19.41/6.01 tff(c_274, plain, (div2($sum('#skF_5', '#skF_4'))='#skF_8' | $lesseq('#skF_4', '#skF_13') | $greater('#skF_4', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_325, plain, (div2($sum('#skF_4', '#skF_5'))='#skF_8' | ~$less('#skF_13', '#skF_4') | $less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_274])).
% 19.41/6.01 tff(c_328, plain, (div2($sum('#skF_5', '#skF_4'))='#skF_8' | ~$less('#skF_13', '#skF_4') | $less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_325])).
% 19.41/6.01 tff(c_8819, plain, ('#skF_8'='#skE_2' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8791, c_328])).
% 19.41/6.01 tff(c_8821, plain, ('#skF_8'='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_856, c_8819])).
% 19.41/6.01 tff(c_280, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_4', '#skF_13') | $greater('#skF_4', '#skF_5') | $lesseq('#skF_4', '#skF_12')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_315, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_13', '#skF_4') | $less('#skF_5', '#skF_4') | ~$less('#skF_12', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_280])).
% 19.41/6.01 tff(c_8967, plain, ($less(select('#skF_6', '#skE_2'), '#skF_7') | select('#skF_6', '#skE_2')='#skF_7' | $less('#skF_5', '#skF_4') | ~$less('#skF_12', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8821, c_8821, c_315])).
% 19.41/6.01 tff(c_8971, plain, ($less(select('#skF_6', '#skE_2'), '#skF_7') | select('#skF_6', '#skE_2')='#skF_7' | ~$less('#skF_12', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_856, c_8967])).
% 19.41/6.01 tff(c_8983, plain, (select('#skF_6', '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_8971])).
% 19.41/6.01 tff(c_8770, plain, (![I_61a:$int]: (select('#skF_6', I_61a)!='#skF_7' | $less(I_61a, '#skF_4') | $less('#skF_5', I_61a))), inference(splitRight, [status(thm)], [c_330])).
% 19.41/6.01 tff(c_9039, plain, ('#skF_7'!='#skE_4' | $less('#skE_2', '#skF_4') | $less('#skF_5', '#skE_2')), inference(superposition, [status(thm), theory('equality')], [c_8983, c_8770])).
% 19.41/6.01 tff(c_10863, plain, ('#skF_7'!='#skE_4'), inference(splitLeft, [status(thm)], [c_9039])).
% 19.41/6.01 tff(c_8982, plain, (select('#skF_6', '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_8971])).
% 19.41/6.01 tff(c_8973, plain, (select('#skF_6', '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_8971])).
% 19.41/6.01 tff(c_8972, plain, ($less(select('#skF_6', '#skE_2'), '#skF_7') | select('#skF_6', '#skE_2')='#skF_7' | ~$less('#skF_12', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_856, c_8967])).
% 19.41/6.01 tff(c_8980, plain, ($less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | ~$less('#skF_12', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_8973, c_8973, c_8972])).
% 19.41/6.01 tff(c_9044, plain, (~$less('#skF_12', '#skF_4')), inference(splitLeft, [status(thm)], [c_8980])).
% 19.41/6.01 tff(c_10520, plain, ('#skF_7'!='#skE_4'), inference(splitLeft, [status(thm)], [c_9039])).
% 19.41/6.01 tff(c_9052, plain, ('#skF_7'!='#skE_4'), inference(splitLeft, [status(thm)], [c_9039])).
% 19.41/6.01 tff(c_286, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_4', '#skF_13') | $greater('#skF_4', '#skF_5') | $lesseq('#skF_10', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_303, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_13', '#skF_4') | $less('#skF_5', '#skF_4') | ~$less('#skF_5', '#skF_10')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_286])).
% 19.41/6.01 tff(c_9146, plain, (~$less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | ~$less('#skF_5', '#skF_10')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_8982, c_8821, c_303])).
% 19.41/6.01 tff(c_9148, plain, (~$less('#skE_4', '#skF_7') | ~$less('#skF_5', '#skF_10')), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_9146])).
% 19.41/6.01 tff(c_9150, plain, (~$less('#skF_5', '#skF_10')), inference(splitLeft, [status(thm)], [c_9148])).
% 19.41/6.01 tff(c_290, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_4', '#skF_13') | $greater('#skF_4', '#skF_5') | '#skF_9'=$sum('#skF_8', 1)), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_295, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_13', '#skF_4') | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skF_8')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_290])).
% 19.41/6.01 tff(c_9167, plain, (~$less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_8821, c_8771, c_8982, c_8821, c_8982, c_8821, c_295])).
% 19.41/6.01 tff(c_9169, plain, (~$less('#skE_4', '#skF_7') | '#skF_9'=$sum(1, '#skE_2')), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_9167])).
% 19.41/6.01 tff(c_9171, plain, (~$less('#skE_4', '#skF_7')), inference(splitLeft, [status(thm)], [c_9169])).
% 19.41/6.01 tff(c_276, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_4', '#skF_13') | $greater('#skF_4', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_323, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_13', '#skF_4') | $less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_276])).
% 19.41/6.01 tff(c_9252, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_8982, c_8821, c_323])).
% 19.41/6.01 tff(c_9258, plain, (select('#skF_6', '#skF_12')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_9171, c_9252])).
% 19.41/6.01 tff(c_9378, plain, ($less('#skF_12', '#skF_4') | $less('#skF_5', '#skF_12')), inference(superposition, [status(thm), theory('equality')], [c_9258, c_8770])).
% 19.41/6.01 tff(c_9388, plain, ($less('#skF_5', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_9044, c_9378])).
% 19.41/6.01 tff(c_282, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_4', '#skF_13') | $greater('#skF_4', '#skF_5') | $difference('#skF_8', 1)='#skF_11'), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_311, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_13', '#skF_4') | $less('#skF_5', '#skF_4') | '#skF_8'=$sum(1, '#skF_11')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_282])).
% 19.41/6.01 tff(c_9154, plain, ($less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | $sum(1, '#skF_11')='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_8821, c_8771, c_8982, c_8821, c_8982, c_8821, c_311])).
% 19.41/6.01 tff(c_9155, plain, ($less('#skE_4', '#skF_7') | $sum(1, '#skF_11')='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_9154])).
% 19.41/6.01 tff(c_9157, plain, ($less('#skE_4', '#skF_7') | '#skF_11'=$sum($uminus(1), '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_9155])).
% 19.41/6.01 tff(c_9159, plain, ('#skF_11'=$sum($uminus(1), '#skE_2')), inference(splitLeft, [status(thm)], [c_9157])).
% 19.41/6.01 tff(c_278, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_4', '#skF_13') | $greater('#skF_4', '#skF_5') | $lesseq('#skF_12', '#skF_11')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_319, plain, ($less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_13', '#skF_4') | $less('#skF_5', '#skF_4') | ~$less('#skF_11', '#skF_12')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_278])).
% 19.41/6.01 tff(c_9093, plain, ($less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | ~$less('#skF_11', '#skF_12')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_8982, c_8821, c_319])).
% 19.41/6.01 tff(c_9095, plain, ($less('#skE_4', '#skF_7') | ~$less('#skF_11', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_9093])).
% 19.41/6.01 tff(c_9097, plain, (~$less('#skF_11', '#skF_12')), inference(splitLeft, [status(thm)], [c_9095])).
% 19.41/6.01 tff(c_9160, plain, (~$less($sum($uminus(1), '#skE_2'), '#skF_12')), inference(demodulation, [status(thm), theory('equality')], [c_9159, c_9097])).
% 19.41/6.01 tff(c_9163, plain, (~$less('#skE_2', $sum(1, '#skF_12'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_9160])).
% 19.41/6.01 tff(c_8792, plain, (div2($sum('#skF_5', '#skF_4'))='#skE_2'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_8783])).
% 19.41/6.01 tff(c_8811, plain, (~$less($sum('#skF_5', '#skF_4'), $product(2, '#skE_2'))), inference(superposition, [status(thm), theory('equality')], [c_8792, c_690])).
% 19.41/6.01 tff(c_8813, plain, (~$less($sum('#skF_4', '#skF_5'), $product(2, '#skE_2'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_8811])).
% 19.41/6.01 tff(c_9389, plain, $false, inference(close, [status(thm), theory('LIA')], [c_9388, c_9163, c_8813, c_856])).
% 19.41/6.01 tff(c_9393, plain, ($less('#skE_4', '#skF_7')), inference(splitRight, [status(thm)], [c_9169])).
% 19.41/6.01 tff(c_284, plain, (select('#skF_6', '#skF_10')='#skF_7' | ~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_4', '#skF_13') | $greater('#skF_4', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_307, plain, (select('#skF_6', '#skF_10')='#skF_7' | ~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_13', '#skF_4') | $less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_284])).
% 19.41/6.01 tff(c_9504, plain, (select('#skF_6', '#skF_10')='#skF_7' | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_9393, c_8982, c_8821, c_307])).
% 19.41/6.01 tff(c_9510, plain, (select('#skF_6', '#skF_10')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_9504])).
% 19.41/6.01 tff(c_9638, plain, ($less('#skF_10', '#skF_4') | $less('#skF_5', '#skF_10')), inference(superposition, [status(thm), theory('equality')], [c_9510, c_8770])).
% 19.41/6.01 tff(c_9648, plain, ($less('#skF_10', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_9150, c_9638])).
% 19.41/6.01 tff(c_9392, plain, ('#skF_9'=$sum(1, '#skE_2')), inference(splitRight, [status(thm)], [c_9169])).
% 19.41/6.01 tff(c_288, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | $lesseq('#skF_4', '#skF_13') | $greater('#skF_4', '#skF_5') | $lesseq('#skF_9', '#skF_10')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_299, plain, (~$less(select('#skF_6', '#skF_8'), '#skF_7') | select('#skF_6', '#skF_8')='#skF_7' | ~$less('#skF_13', '#skF_4') | $less('#skF_5', '#skF_4') | ~$less('#skF_10', '#skF_9')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_288])).
% 19.41/6.01 tff(c_9046, plain, (~$less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | ~$less('#skF_10', '#skF_9')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_8982, c_8821, c_299])).
% 19.41/6.01 tff(c_9048, plain, (~$less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | ~$less('#skF_10', '#skF_9')), inference(negUnitSimplification, [status(thm)], [c_856, c_9046])).
% 19.41/6.01 tff(c_9050, plain, (~$less('#skF_10', '#skF_9')), inference(splitLeft, [status(thm)], [c_9048])).
% 19.41/6.01 tff(c_9398, plain, (~$less('#skF_10', $sum(1, '#skE_2'))), inference(demodulation, [status(thm), theory('equality')], [c_9392, c_9050])).
% 19.41/6.01 tff(c_8808, plain, ($less($sum('#skF_5', '#skF_4'), $sum(2, $product(2, '#skE_2')))), inference(superposition, [status(thm), theory('equality')], [c_8792, c_691])).
% 19.41/6.01 tff(c_8810, plain, ($less($sum('#skF_4', '#skF_5'), $sum(2, $product(2, '#skE_2')))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_8808])).
% 19.41/6.01 tff(c_9649, plain, $false, inference(close, [status(thm), theory('LIA')], [c_9648, c_9398, c_8810, c_856])).
% 19.41/6.01 tff(c_9652, plain, ($less('#skE_4', '#skF_7')), inference(splitRight, [status(thm)], [c_9157])).
% 19.41/6.01 tff(c_9775, plain, (select('#skF_6', '#skF_10')='#skF_7' | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_9652, c_8982, c_8821, c_307])).
% 19.41/6.01 tff(c_9781, plain, (select('#skF_6', '#skF_10')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_9775])).
% 19.41/6.01 tff(c_9909, plain, ($less('#skF_10', '#skF_4') | $less('#skF_5', '#skF_10')), inference(superposition, [status(thm), theory('equality')], [c_9781, c_8770])).
% 19.41/6.01 tff(c_9919, plain, ($less('#skF_10', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_9150, c_9909])).
% 19.41/6.01 tff(c_9659, plain, ('#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_8821, c_8771, c_8982, c_8821, c_9652, c_8982, c_8821, c_295])).
% 19.41/6.01 tff(c_9661, plain, ('#skF_9'=$sum(1, '#skE_2')), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_9659])).
% 19.41/6.01 tff(c_9664, plain, (~$less('#skF_10', $sum(1, '#skE_2'))), inference(demodulation, [status(thm), theory('equality')], [c_9661, c_9050])).
% 19.41/6.01 tff(c_9920, plain, $false, inference(close, [status(thm), theory('LIA')], [c_9919, c_9664, c_8810, c_856])).
% 19.41/6.01 tff(c_9923, plain, (~$less('#skE_4', '#skF_7')), inference(splitRight, [status(thm)], [c_9148])).
% 19.41/6.01 tff(c_10020, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_8982, c_8821, c_323])).
% 19.41/6.01 tff(c_10026, plain, (select('#skF_6', '#skF_12')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_9923, c_10020])).
% 19.41/6.01 tff(c_10146, plain, ($less('#skF_12', '#skF_4') | $less('#skF_5', '#skF_12')), inference(superposition, [status(thm), theory('equality')], [c_10026, c_8770])).
% 19.41/6.01 tff(c_10156, plain, ($less('#skF_5', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_9044, c_10146])).
% 19.41/6.01 tff(c_9930, plain, ($less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | $sum(1, '#skF_11')='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_8821, c_8771, c_8982, c_8821, c_8982, c_8821, c_311])).
% 19.41/6.01 tff(c_9931, plain, ($sum(1, '#skF_11')='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_9923, c_9930])).
% 19.41/6.01 tff(c_9933, plain, ('#skF_11'=$sum($uminus(1), '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_9931])).
% 19.41/6.01 tff(c_9934, plain, (~$less($sum($uminus(1), '#skE_2'), '#skF_12')), inference(demodulation, [status(thm), theory('equality')], [c_9933, c_9097])).
% 19.41/6.01 tff(c_9937, plain, (~$less('#skE_2', $sum(1, '#skF_12'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_9934])).
% 19.41/6.01 tff(c_10157, plain, $false, inference(close, [status(thm), theory('LIA')], [c_10156, c_9937, c_8813, c_856])).
% 19.41/6.01 tff(c_10160, plain, ($less('#skE_4', '#skF_7')), inference(splitRight, [status(thm)], [c_9095])).
% 19.41/6.01 tff(c_10186, plain, ('#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | ~$less('#skF_5', '#skF_10')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_10160, c_8982, c_8821, c_303])).
% 19.41/6.01 tff(c_10188, plain, (~$less('#skF_5', '#skF_10')), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_10186])).
% 19.41/6.01 tff(c_10346, plain, (select('#skF_6', '#skF_10')='#skF_7' | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_10160, c_8982, c_8821, c_307])).
% 19.41/6.01 tff(c_10352, plain, (select('#skF_6', '#skF_10')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_10346])).
% 19.41/6.01 tff(c_10480, plain, ($less('#skF_10', '#skF_4') | $less('#skF_5', '#skF_10')), inference(superposition, [status(thm), theory('equality')], [c_10352, c_8770])).
% 19.41/6.01 tff(c_10494, plain, ($less('#skF_10', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_10188, c_10480])).
% 19.41/6.01 tff(c_10215, plain, ('#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_8821, c_8771, c_8982, c_8821, c_10160, c_8982, c_8821, c_295])).
% 19.41/6.01 tff(c_10217, plain, ('#skF_9'=$sum(1, '#skE_2')), inference(negUnitSimplification, [status(thm)], [c_856, c_9052, c_10215])).
% 19.41/6.01 tff(c_10220, plain, (~$less('#skF_10', $sum(1, '#skE_2'))), inference(demodulation, [status(thm), theory('equality')], [c_10217, c_9050])).
% 19.41/6.01 tff(c_10495, plain, $false, inference(close, [status(thm), theory('LIA')], [c_10494, c_10220, c_8810, c_856])).
% 19.41/6.01 tff(c_10498, plain, ($less('#skF_5', '#skE_2') | $less('#skE_2', '#skF_4')), inference(splitRight, [status(thm)], [c_9039])).
% 19.41/6.01 tff(c_10506, plain, ($less('#skE_2', '#skF_4')), inference(splitLeft, [status(thm)], [c_10498])).
% 19.41/6.01 tff(c_10507, plain, $false, inference(close, [status(thm), theory('LIA')], [c_10506, c_8810, c_856])).
% 19.41/6.01 tff(c_10510, plain, ($less('#skF_5', '#skE_2')), inference(splitRight, [status(thm)], [c_10498])).
% 19.41/6.01 tff(c_10512, plain, $false, inference(close, [status(thm), theory('LIA')], [c_10510, c_8813, c_856])).
% 19.41/6.01 tff(c_10515, plain, (~$less('#skE_4', '#skF_7') | '#skF_7'='#skE_4'), inference(splitRight, [status(thm)], [c_9048])).
% 19.41/6.01 tff(c_10518, plain, (~$less('#skE_4', '#skF_7')), inference(splitLeft, [status(thm)], [c_10515])).
% 19.41/6.01 tff(c_10671, plain, (select('#skF_6', '#skF_12')='#skF_7' | $less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_8982, c_8821, c_323])).
% 19.41/6.01 tff(c_10677, plain, (select('#skF_6', '#skF_12')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_10520, c_10518, c_10671])).
% 19.41/6.01 tff(c_10792, plain, ($less('#skF_12', '#skF_4') | $less('#skF_5', '#skF_12')), inference(superposition, [status(thm), theory('equality')], [c_10677, c_8770])).
% 19.41/6.01 tff(c_10802, plain, ($less('#skF_5', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_9044, c_10792])).
% 19.41/6.01 tff(c_10607, plain, ($less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | $sum(1, '#skF_11')='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_8821, c_8771, c_8982, c_8821, c_8982, c_8821, c_311])).
% 19.41/6.01 tff(c_10608, plain, ($sum(1, '#skF_11')='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_856, c_10520, c_10518, c_10607])).
% 19.41/6.01 tff(c_10610, plain, ('#skF_11'=$sum($uminus(1), '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_10608])).
% 19.41/6.01 tff(c_10522, plain, ($less('#skE_4', '#skF_7') | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | ~$less('#skF_11', '#skF_12')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_8982, c_8821, c_319])).
% 19.41/6.01 tff(c_10524, plain, ('#skF_7'='#skE_4' | ~$less('#skF_11', '#skF_12')), inference(negUnitSimplification, [status(thm)], [c_856, c_10518, c_10522])).
% 19.41/6.01 tff(c_10526, plain, (~$less('#skF_11', '#skF_12')), inference(splitLeft, [status(thm)], [c_10524])).
% 19.41/6.01 tff(c_10611, plain, (~$less($sum($uminus(1), '#skE_2'), '#skF_12')), inference(demodulation, [status(thm), theory('equality')], [c_10610, c_10526])).
% 19.41/6.01 tff(c_10614, plain, (~$less('#skE_2', $sum(1, '#skF_12'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_10611])).
% 19.41/6.01 tff(c_10803, plain, $false, inference(close, [status(thm), theory('LIA')], [c_10802, c_10614, c_8813, c_856])).
% 19.41/6.01 tff(c_10806, plain, ('#skF_7'='#skE_4'), inference(splitRight, [status(thm)], [c_10524])).
% 19.41/6.01 tff(c_10817, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_10806, c_10520])).
% 19.41/6.01 tff(c_10820, plain, ($less('#skF_5', '#skE_2') | $less('#skE_2', '#skF_4')), inference(splitRight, [status(thm)], [c_9039])).
% 19.41/6.01 tff(c_10829, plain, ($less('#skE_2', '#skF_4')), inference(splitLeft, [status(thm)], [c_10820])).
% 19.41/6.01 tff(c_10830, plain, $false, inference(close, [status(thm), theory('LIA')], [c_10829, c_8810, c_856])).
% 19.41/6.01 tff(c_10833, plain, ($less('#skF_5', '#skE_2')), inference(splitRight, [status(thm)], [c_10820])).
% 19.41/6.01 tff(c_10840, plain, $false, inference(close, [status(thm), theory('LIA')], [c_10833, c_8813, c_856])).
% 19.41/6.01 tff(c_10843, plain, ('#skF_7'='#skE_4'), inference(splitRight, [status(thm)], [c_10515])).
% 19.41/6.01 tff(c_10844, plain, ($less('#skE_4', '#skF_7')), inference(splitRight, [status(thm)], [c_10515])).
% 19.41/6.01 tff(c_10853, plain, ($less('#skE_4', '#skE_4')), inference(demodulation, [status(thm), theory('equality')], [c_10843, c_10844])).
% 19.41/6.01 tff(c_10855, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_10853])).
% 19.41/6.01 tff(c_10858, plain, ('#skF_7'='#skE_4' | $less('#skE_4', '#skF_7')), inference(splitRight, [status(thm)], [c_8980])).
% 19.41/6.01 tff(c_10861, plain, ($less('#skE_4', '#skF_7')), inference(splitLeft, [status(thm)], [c_10858])).
% 19.41/6.01 tff(c_10947, plain, ('#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | ~$less('#skF_5', '#skF_10')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_10861, c_8982, c_8821, c_303])).
% 19.41/6.01 tff(c_10949, plain, (~$less('#skF_5', '#skF_10')), inference(negUnitSimplification, [status(thm)], [c_856, c_10863, c_10947])).
% 19.41/6.01 tff(c_11104, plain, (select('#skF_6', '#skF_10')='#skF_7' | '#skF_7'='#skE_4' | $less('#skF_5', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_10861, c_8982, c_8821, c_307])).
% 19.41/6.01 tff(c_11110, plain, (select('#skF_6', '#skF_10')='#skF_7'), inference(negUnitSimplification, [status(thm)], [c_856, c_10863, c_11104])).
% 19.41/6.01 tff(c_11238, plain, ($less('#skF_10', '#skF_4') | $less('#skF_5', '#skF_10')), inference(superposition, [status(thm), theory('equality')], [c_11110, c_8770])).
% 19.41/6.01 tff(c_11248, plain, ($less('#skF_10', '#skF_4')), inference(negUnitSimplification, [status(thm)], [c_10949, c_11238])).
% 19.41/6.01 tff(c_10957, plain, ('#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | '#skF_9'=$sum(1, '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_8821, c_8771, c_8982, c_8821, c_10861, c_8982, c_8821, c_295])).
% 19.41/6.01 tff(c_10959, plain, ('#skF_9'=$sum(1, '#skE_2')), inference(negUnitSimplification, [status(thm)], [c_856, c_10863, c_10957])).
% 19.41/6.01 tff(c_10865, plain, ('#skF_7'='#skE_4' | $less('#skF_5', '#skF_4') | ~$less('#skF_10', '#skF_9')), inference(demodulation, [status(thm), theory('equality')], [c_8771, c_8982, c_8821, c_10861, c_8982, c_8821, c_299])).
% 19.41/6.01 tff(c_10867, plain, ('#skF_7'='#skE_4' | ~$less('#skF_10', '#skF_9')), inference(negUnitSimplification, [status(thm)], [c_856, c_10865])).
% 19.41/6.01 tff(c_10869, plain, (~$less('#skF_10', '#skF_9')), inference(splitLeft, [status(thm)], [c_10867])).
% 19.41/6.01 tff(c_10962, plain, (~$less('#skF_10', $sum(1, '#skE_2'))), inference(demodulation, [status(thm), theory('equality')], [c_10959, c_10869])).
% 19.41/6.01 tff(c_11249, plain, $false, inference(close, [status(thm), theory('LIA')], [c_11248, c_10962, c_8810, c_856])).
% 19.41/6.01 tff(c_11252, plain, ('#skF_7'='#skE_4'), inference(splitRight, [status(thm)], [c_10867])).
% 19.41/6.01 tff(c_11254, plain, ($less('#skE_4', '#skE_4')), inference(demodulation, [status(thm), theory('equality')], [c_11252, c_10861])).
% 19.41/6.01 tff(c_11259, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_11254])).
% 19.41/6.01 tff(c_11263, plain, ('#skF_7'='#skE_4'), inference(splitRight, [status(thm)], [c_9039])).
% 19.41/6.01 tff(c_11270, plain, ($less('#skE_4', '#skE_4')), inference(demodulation, [status(thm), theory('equality')], [c_11263, c_10861])).
% 19.41/6.01 tff(c_11275, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_11270])).
% 19.41/6.01 tff(c_11278, plain, ('#skF_7'='#skE_4'), inference(splitRight, [status(thm)], [c_10858])).
% 19.41/6.01 tff(c_11293, plain, ($less('#skE_2', '#skF_4') | $less('#skF_5', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_11278, c_9039])).
% 19.41/6.01 tff(c_11295, plain, ($less('#skF_5', '#skE_2')), inference(splitLeft, [status(thm)], [c_11293])).
% 19.41/6.01 tff(c_11296, plain, $false, inference(close, [status(thm), theory('LIA')], [c_11295, c_8813, c_856])).
% 19.41/6.01 tff(c_11299, plain, ($less('#skE_2', '#skF_4')), inference(splitRight, [status(thm)], [c_11293])).
% 19.41/6.01 tff(c_11301, plain, $false, inference(close, [status(thm), theory('LIA')], [c_11299, c_8810, c_856])).
% 19.41/6.01 tff(c_11305, plain, ($less('#skF_5', '#skF_4')), inference(splitRight, [status(thm)], [c_368])).
% 19.41/6.01 tff(c_272, plain, ($lesseq('#skF_4', '#skF_13') | ~$greater('#skF_4', '#skF_5')), inference(cnfTransformation, [status(thm)], [f_137])).
% 19.41/6.01 tff(c_329, plain, (~$less('#skF_13', '#skF_4') | ~$less('#skF_5', '#skF_4')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_272])).
% 19.41/6.01 tff(c_11322, plain, (~$less('#skF_13', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_11305, c_329])).
% 19.41/6.01 tff(c_11304, plain, (~$less('#skF_5', '#skF_13')), inference(splitRight, [status(thm)], [c_368])).
% 19.41/6.01 tff(c_11323, plain, $false, inference(close, [status(thm), theory('LIA')], [c_11322, c_11305, c_11304])).
% 19.41/6.01 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.41/6.01
% 19.41/6.01 Inference rules
% 19.41/6.01 ----------------------
% 19.41/6.01 #Ref : 1
% 19.41/6.01 #Sup : 1241
% 19.41/6.01 #Fact : 0
% 19.41/6.01 #Define : 10
% 19.41/6.01 #Split : 109
% 19.41/6.01 #Chain : 0
% 19.41/6.01 #Close : 78
% 19.41/6.01
% 19.41/6.01 Ordering : LPO
% 19.41/6.01
% 19.41/6.01 Simplification rules
% 19.41/6.01 ----------------------
% 19.41/6.01 #Subsume : 377
% 19.41/6.01 #Demod : 1704
% 19.41/6.01 #Tautology : 434
% 19.41/6.01 #SimpNegUnit : 418
% 19.41/6.01 #BackRed : 90
% 19.41/6.01
% 19.41/6.01 #Partial instantiations: 0
% 19.41/6.01 #Strategies tried : 1
% 19.41/6.01
% 19.41/6.01 Timing (in seconds)
% 19.41/6.01 ----------------------
% 19.41/6.02 Preprocessing : 0.93
% 19.41/6.02 Parsing : 0.32
% 19.41/6.02 CNF conversion : 0.06
% 19.41/6.02 Main loop : 3.89
% 19.41/6.02 Inferencing : 0.41
% 19.41/6.02 Reduction : 0.57
% 19.41/6.02 Demodulation : 0.40
% 19.41/6.02 BG Simplification : 0.23
% 19.41/6.02 Subsumption : 0.43
% 19.41/6.02 Abstraction : 0.09
% 19.41/6.02 MUC search : 1.51
% 19.41/6.02 Cooper : 2.13
% 19.41/6.02 Total : 4.96
% 19.41/6.02 Index Insertion : 0.00
% 19.41/6.02 Index Deletion : 0.00
% 19.41/6.02 Index Matching : 0.00
% 19.41/6.02 BG Taut test : 0.00
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