TSTP Solution File: DAT329_1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : DAT329_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/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 10:37:23 EDT 2023
% Result : Unsatisfiable 7.61s 2.80s
% Output : CNFRefutation 8.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : DAT329_1 : TPTP v8.1.2. Released v7.0.0.
% 0.14/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 13:17:23 EDT 2023
% 0.15/0.35 % CPUTime :
% 7.61/2.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.61/2.93
% 7.61/2.93 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.61/2.95 %$ store:(Array[Int,Int]*Int*Int)>Array[Int,Int] > select:(Array[Int,Int]*Int)>Int > #nlpp > size > key > elems > const:(Int)>Array[Int,Int] > #skF_2 > #skF_5 > #skF_3 > #skF_4 > #skF_6
% 7.61/2.95
% 7.61/2.95 %Foreground sorts:
% 7.61/2.95 tff(Array[Int,Int], type, Array[Int,Int]: $tType ).
% 7.61/2.95 tff(Queue, type, Queue: $tType ).
% 7.61/2.95
% 7.61/2.95 %Background operators:
% 7.61/2.95 tff('#skE_7', type, '#skE_7': $int).
% 7.61/2.95 tff('#skE_11', type, '#skE_11': $int).
% 7.61/2.95 tff('#skE_12', type, '#skE_12': $int).
% 7.61/2.95 tff('#skE_2', type, '#skE_2': $int).
% 7.61/2.95 tff('#skE_1', type, '#skE_1': $int).
% 7.61/2.95 tff('#skE_6', type, '#skE_6': $int).
% 7.61/2.95 tff('#skE_13', type, '#skE_13': $int).
% 7.61/2.95 tff('#skE_10', type, '#skE_10': $int).
% 7.61/2.95 tff('#skE_5', type, '#skE_5': $int).
% 7.61/2.95 tff('#skE_8', type, '#skE_8': $int).
% 7.61/2.95 tff('#skE_4', type, '#skE_4': $int).
% 7.61/2.95 tff('#skE_3', type, '#skE_3': $int).
% 7.61/2.95 tff('#skF_1', type, '#skF_1': $int).
% 7.61/2.95 tff('#skE_9', type, '#skE_9': $int).
% 7.61/2.95
% 7.61/2.95 %Foreground operators:
% 7.61/2.95 tff(size, type, size: Queue > $int).
% 7.61/2.95 tff(select:(Array[Int,Int]*Int)>Int, type, select:(Array[Int,Int]*Int)>Int: (Array[Int,Int] * $int) > $int).
% 7.61/2.95 tff('#skF_2', type, '#skF_2': Queue).
% 7.61/2.95 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]).
% 7.61/2.95 tff('#skF_5', type, '#skF_5': Array[Int,Int] > Array[Int,Int]).
% 7.61/2.95 tff('#skF_3', type, '#skF_3': Array[Int,Int] > $int).
% 7.61/2.95 tff(key, type, key: $int > $int).
% 7.61/2.95 tff(elems, type, elems: Queue > Array[Int,Int]).
% 7.61/2.95 tff('#skF_4', type, '#skF_4': Array[Int,Int] > $int).
% 7.61/2.95 tff(const:(Int)>Array[Int,Int], type, const:(Int)>Array[Int,Int]: $int > Array[Int,Int]).
% 7.61/2.95 tff('#skF_6', type, '#skF_6': (Array[Int,Int] * Array[Int,Int]) > $int).
% 7.61/2.95
% 8.12/3.00 tff(f_75, axiom, ~(![A__questionmark_ia:$int, A__questionmark_pp:Queue]: (?[A__questionmark_v_0_1:Array[Int,Int]]: ((A__questionmark_v_0_1 = elems(A__questionmark_pp)) & ((((($greatereq(A__questionmark_ia, 0) & (![A__questionmark_ja:$int, A__questionmark_ka:$int]: ((((($greater(A__questionmark_ja, 0) & $less(A__questionmark_ja, size(A__questionmark_pp))) & $greatereq(A__questionmark_ka, 0)) & $less(A__questionmark_ka, A__questionmark_ja)) & ~(A__questionmark_ia = A__questionmark_ja)) => $lesseq(key(select(A__questionmark_v_0_1, A__questionmark_ja)), key(select(A__questionmark_v_0_1, A__questionmark_ka)))))) & ~$lesseq(key(select(A__questionmark_v_0_1, A__questionmark_ia)), key(select(A__questionmark_v_0_1, $difference(A__questionmark_ia, 1))))) & $greater(A__questionmark_ia, 0)) & $less(A__questionmark_ia, size(A__questionmark_pp))) => (![A__questionmark_ja:$int, A__questionmark_ka:$int, A__questionmark_ee:Array[Int,Int]]: (?[A__questionmark_v_1_2a:$int]: ((A__questionmark_v_1_2a = $difference(A__questionmark_ia, 1)) & (((((($greater(A__questionmark_ja, 0) & $less(A__questionmark_ja, size(A__questionmark_pp))) & $greatereq(A__questionmark_ka, 0)) & $less(A__questionmark_ka, A__questionmark_ja)) & ~(A__questionmark_ja = A__questionmark_v_1_2a)) & (A__questionmark_ee = store(store(A__questionmark_v_0_1, A__questionmark_v_1_2a, select(A__questionmark_v_0_1, A__questionmark_ia)), A__questionmark_ia, select(A__questionmark_v_0_1, A__questionmark_v_1_2a)))) => $lesseq(key(select(A__questionmark_ee, A__questionmark_ja)), key(select(A__questionmark_ee, A__questionmark_ka))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', formula_1)).
% 8.12/3.00 tff(f_77, axiom, (![A:Array[Int,Int], Ia:$int, Ea:$int]: (select(store(A, Ia, Ea), Ia) = Ea)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', formula_2)).
% 8.12/3.00 tff(f_82, axiom, (![A:Array[Int,Int], Ia:$int, Ja:$int, Ea:$int]: (~(Ia = Ja) => (select(store(A, Ia, Ea), Ja) = select(A, Ja)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', formula_3)).
% 8.12/3.00 tff(f_1024, plain, (![A__questionmark_v_0_1_16:Array[Int,Int], A__questionmark_v_1_2_27a:$int]: (($greatereq('#skF_4'(A__questionmark_v_0_1_16), 0) | ~(A__questionmark_v_1_2_27a = $difference('#skF_1', 1))) | ~(A__questionmark_v_0_1_16 = elems('#skF_2')))), inference(cnfTransformation, [status(thm)], [f_75])).
% 8.12/3.00 tff(f_1027, plain, (![A__questionmark_v_1_2_27a:$int]: ((![A__questionmark_v_1_2_27a:$int]: ~(A__questionmark_v_1_2_27a = $difference('#skF_1', 1))) <=> $false)), inference(theorem, [status(thm), theory('LIA')], [])).
% 8.12/3.00 tff(f_1028, plain, (![A__questionmark_v_0_1_16:Array[Int,Int]]: (($false | $greatereq('#skF_4'(A__questionmark_v_0_1_16), 0)) | ~(A__questionmark_v_0_1_16 = elems('#skF_2')))), inference(equivalence, [status(thm)], [f_1024, f_1027])).
% 8.12/3.00 tff(c_27, plain, ($greatereq('#skF_4'(elems('#skF_2')), 0)), inference(cnfTransformation, [status(thm)], [f_1028])).
% 8.12/3.00 tff(c_47, plain, (~$less('#skF_4'(elems('#skF_2')), 0)), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_27])).
% 8.12/3.00 tff(c_97, plain, ('#skF_4'(elems('#skF_2'))='#skE_2'), inference(define, [status(thm), theory('equality')], [c_47])).
% 8.12/3.00 tff(f_1112, plain, (![A__questionmark_v_0_1_16:Array[Int,Int], A__questionmark_v_1_2_27a:$int]: (($greater('#skF_3'(A__questionmark_v_0_1_16), 0) | ~(A__questionmark_v_1_2_27a = $difference('#skF_1', 1))) | ~(A__questionmark_v_0_1_16 = elems('#skF_2')))), inference(cnfTransformation, [status(thm)], [f_75])).
% 8.12/3.00 tff(f_1115, plain, (![A__questionmark_v_1_2_27a:$int]: ((![A__questionmark_v_1_2_27a:$int]: ~(A__questionmark_v_1_2_27a = $difference('#skF_1', 1))) <=> $false)), inference(theorem, [status(thm), theory('LIA')], [])).
% 8.12/3.00 tff(f_1116, plain, (![A__questionmark_v_0_1_16:Array[Int,Int]]: (($false | $greater('#skF_3'(A__questionmark_v_0_1_16), 0)) | ~(A__questionmark_v_0_1_16 = elems('#skF_2')))), inference(equivalence, [status(thm)], [f_1112, f_1115])).
% 8.12/3.00 tff(c_32, plain, ($greater('#skF_3'(elems('#skF_2')), 0)), inference(cnfTransformation, [status(thm)], [f_1116])).
% 8.12/3.00 tff(c_45, plain, ($less(0, '#skF_3'(elems('#skF_2')))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_32])).
% 8.12/3.00 tff(c_75, plain, ('#skF_3'(elems('#skF_2'))='#skE_1'), inference(define, [status(thm), theory('equality')], [c_45])).
% 8.12/3.00 tff(f_921, plain, (![A__questionmark_v_0_1_16:Array[Int,Int], A__questionmark_v_1_2_27a:$int]: ((~$lesseq(key(select('#skF_5'(A__questionmark_v_0_1_16), '#skF_3'(A__questionmark_v_0_1_16))), key(select('#skF_5'(A__questionmark_v_0_1_16), '#skF_4'(A__questionmark_v_0_1_16)))) | ~(A__questionmark_v_1_2_27a = $difference('#skF_1', 1))) | ~(A__questionmark_v_0_1_16 = elems('#skF_2')))), inference(cnfTransformation, [status(thm)], [f_75])).
% 8.12/3.00 tff(f_924, plain, (![A__questionmark_v_1_2_27a:$int]: ((![A__questionmark_v_1_2_27a:$int]: ~(A__questionmark_v_1_2_27a = $difference('#skF_1', 1))) <=> $false)), inference(theorem, [status(thm), theory('LIA')], [])).
% 8.12/3.00 tff(f_925, plain, (![A__questionmark_v_0_1_16:Array[Int,Int]]: (($false | ~$lesseq(key(select('#skF_5'(A__questionmark_v_0_1_16), '#skF_3'(A__questionmark_v_0_1_16))), key(select('#skF_5'(A__questionmark_v_0_1_16), '#skF_4'(A__questionmark_v_0_1_16))))) | ~(A__questionmark_v_0_1_16 = elems('#skF_2')))), inference(equivalence, [status(thm)], [f_921, f_924])).
% 8.12/3.00 tff(c_16, plain, (~$lesseq(key(select('#skF_5'(elems('#skF_2')), '#skF_3'(elems('#skF_2')))), key(select('#skF_5'(elems('#skF_2')), '#skF_4'(elems('#skF_2')))))), inference(cnfTransformation, [status(thm)], [f_925])).
% 8.12/3.00 tff(c_54, plain, ($less(key(select('#skF_5'(elems('#skF_2')), '#skF_4'(elems('#skF_2')))), key(select('#skF_5'(elems('#skF_2')), '#skF_3'(elems('#skF_2')))))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_16])).
% 8.12/3.00 tff(c_171, plain, ($less(key(select('#skF_5'(elems('#skF_2')), '#skE_2')), key(select('#skF_5'(elems('#skF_2')), '#skE_1')))), inference(demodulation, [status(thm), theory('equality')], [c_97, c_75, c_54])).
% 8.12/3.00 tff(c_174, plain, (select('#skF_5'(elems('#skF_2')), '#skE_1')='#skE_5'), inference(define, [status(thm), theory('equality')], [c_171])).
% 8.12/3.00 tff(c_173, plain, (select('#skF_5'(elems('#skF_2')), '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_171])).
% 8.12/3.00 tff(c_172, plain, ($less(key(select('#skF_5'(elems('#skF_2')), '#skE_2')), key(select('#skF_5'(elems('#skF_2')), '#skE_1')))), inference(demodulation, [status(thm), theory('equality')], [c_97, c_75, c_54])).
% 8.12/3.00 tff(c_188, plain, ($less(key('#skE_4'), key('#skE_5'))), inference(demodulation, [status(thm), theory('equality')], [c_174, c_173, c_172])).
% 8.12/3.00 tff(c_354, plain, (key('#skE_4')='#skE_10'), inference(define, [status(thm), theory('equality')], [c_188])).
% 8.12/3.00 tff(c_4477, plain, (key('#skE_5')='#skE_11'), inference(define, [status(thm), theory('equality')], [c_188])).
% 8.12/3.00 tff(c_4507, plain, ('#skE_11'='#skE_10' | '#skE_5'!='#skE_4'), inference(superposition, [status(thm), theory('equality')], [c_354, c_4477])).
% 8.12/3.00 tff(c_4540, plain, ('#skE_5'!='#skE_4'), inference(splitLeft, [status(thm)], [c_4507])).
% 8.12/3.00 tff(c_94, plain, ('#skF_4'(elems('#skF_2'))='#skE_2'), inference(define, [status(thm), theory('equality')], [c_47])).
% 8.12/3.00 tff(c_98, plain, (~$less('#skE_2', 0)), inference(demodulation, [status(thm), theory('equality')], [c_94, c_47])).
% 8.12/3.00 tff(f_980, plain, (![A__questionmark_v_0_1_16:Array[Int,Int], A__questionmark_v_1_2_27a:$int]: (($less('#skF_4'(A__questionmark_v_0_1_16), '#skF_3'(A__questionmark_v_0_1_16)) | ~(A__questionmark_v_1_2_27a = $difference('#skF_1', 1))) | ~(A__questionmark_v_0_1_16 = elems('#skF_2')))), inference(cnfTransformation, [status(thm)], [f_75])).
% 8.12/3.00 tff(f_983, plain, (![A__questionmark_v_1_2_27a:$int]: ((![A__questionmark_v_1_2_27a:$int]: ~(A__questionmark_v_1_2_27a = $difference('#skF_1', 1))) <=> $false)), inference(theorem, [status(thm), theory('LIA')], [])).
% 8.12/3.00 tff(f_984, plain, (![A__questionmark_v_0_1_16:Array[Int,Int]]: (($false | $less('#skF_4'(A__questionmark_v_0_1_16), '#skF_3'(A__questionmark_v_0_1_16))) | ~(A__questionmark_v_0_1_16 = elems('#skF_2')))), inference(equivalence, [status(thm)], [f_980, f_983])).
% 8.12/3.00 tff(c_48, plain, ($less('#skF_4'(elems('#skF_2')), '#skF_3'(elems('#skF_2')))), inference(cnfTransformation, [status(thm)], [f_984])).
% 8.12/3.00 tff(c_128, plain, ($less('#skE_2', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_97, c_75, c_48])).
% 8.12/3.00 tff(c_347, plain, (key('#skE_5')='#skE_11'), inference(define, [status(thm), theory('equality')], [c_188])).
% 8.12/3.00 tff(c_346, plain, (key('#skE_4')='#skE_10'), inference(define, [status(thm), theory('equality')], [c_188])).
% 8.12/3.00 tff(c_345, plain, ($less(key('#skE_4'), key('#skE_5'))), inference(demodulation, [status(thm), theory('equality')], [c_174, c_173, c_172])).
% 8.12/3.00 tff(c_358, plain, ($less('#skE_10', '#skE_11')), inference(demodulation, [status(thm), theory('equality')], [c_347, c_346, c_345])).
% 8.12/3.00 tff(c_361, plain, (key('#skE_4')='#skE_10'), inference(define, [status(thm), theory('equality')], [c_188])).
% 8.12/3.00 tff(c_7, plain, (~$lesseq(key(select(elems('#skF_2'), '#skF_1')), key(select(elems('#skF_2'), $sum($uminus(1), '#skF_1'))))), inference(cnfTransformation, [status(thm)], [f_75])).
% 8.12/3.00 tff(c_60, plain, ($less(key(select(elems('#skF_2'), $sum($uminus(1), '#skF_1'))), key(select(elems('#skF_2'), '#skF_1')))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_7])).
% 8.12/3.00 tff(c_190, plain, (select(elems('#skF_2'), '#skF_1')='#skE_7'), inference(define, [status(thm), theory('equality')], [c_60])).
% 8.12/3.00 tff(c_189, plain, (select(elems('#skF_2'), $sum($uminus(1), '#skF_1'))='#skE_6'), inference(define, [status(thm), theory('equality')], [c_60])).
% 8.12/3.00 tff(c_69, plain, ($less(key(select(elems('#skF_2'), $sum($uminus(1), '#skF_1'))), key(select(elems('#skF_2'), '#skF_1')))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_7])).
% 8.12/3.00 tff(c_204, plain, ($less(key('#skE_6'), key('#skE_7'))), inference(demodulation, [status(thm), theory('equality')], [c_190, c_189, c_69])).
% 8.12/3.00 tff(c_272, plain, (key('#skE_6')='#skE_8'), inference(define, [status(thm), theory('equality')], [c_204])).
% 8.12/3.00 tff(c_384, plain, ('#skE_8'='#skE_10' | '#skE_6'!='#skE_4'), inference(superposition, [status(thm), theory('equality')], [c_361, c_272])).
% 8.12/3.00 tff(c_395, plain, ('#skE_6'!='#skE_4'), inference(splitLeft, [status(thm)], [c_384])).
% 8.12/3.00 tff(c_360, plain, (key('#skE_4')='#skE_10'), inference(define, [status(thm), theory('equality')], [c_188])).
% 8.12/3.00 tff(c_417, plain, (key('#skE_5')='#skE_11'), inference(define, [status(thm), theory('equality')], [c_188])).
% 8.12/3.00 tff(c_448, plain, ('#skE_8'='#skE_11' | '#skE_6'!='#skE_5'), inference(superposition, [status(thm), theory('equality')], [c_417, c_272])).
% 8.12/3.00 tff(c_514, plain, ('#skE_6'!='#skE_5'), inference(splitLeft, [status(thm)], [c_448])).
% 8.12/3.00 tff(c_206, plain, (select(elems('#skF_2'), '#skF_1')='#skE_7'), inference(define, [status(thm), theory('equality')], [c_60])).
% 8.12/3.00 tff(c_19, plain, (store(store(elems('#skF_2'), $difference('#skF_1', 1), select(elems('#skF_2'), '#skF_1')), '#skF_1', select(elems('#skF_2'), $difference('#skF_1', 1)))='#skF_5'(elems('#skF_2'))), inference(cnfTransformation, [status(thm)], [f_75])).
% 8.12/3.00 tff(c_53, plain, (store(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), select(elems('#skF_2'), '#skF_1')), '#skF_1', select(elems('#skF_2'), $sum($uminus(1), '#skF_1')))='#skF_5'(elems('#skF_2'))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_19])).
% 8.12/3.00 tff(c_400, plain, (store(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), '#skF_1', select(elems('#skF_2'), $sum($uminus(1), '#skF_1')))='#skF_5'(elems('#skF_2'))), inference(demodulation, [status(thm), theory('equality')], [c_206, c_53])).
% 8.12/3.00 tff(c_402, plain, (select(elems('#skF_2'), $sum($uminus(1), '#skF_1'))='#skE_6'), inference(define, [status(thm), theory('equality')], [c_400])).
% 8.12/3.00 tff(c_401, plain, (store(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), '#skF_1', select(elems('#skF_2'), $sum($uminus(1), '#skF_1')))='#skF_5'(elems('#skF_2'))), inference(demodulation, [status(thm), theory('equality')], [c_206, c_53])).
% 8.12/3.00 tff(c_543, plain, (store(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), '#skF_1', '#skE_6')='#skF_5'(elems('#skF_2'))), inference(demodulation, [status(thm), theory('equality')], [c_402, c_401])).
% 8.12/3.00 tff(c_44, plain, (![A_28:Array[Int,Int], I_29a:$int, E_30a:$int]: (select(store(A_28, I_29a, E_30a), I_29a)=E_30a)), inference(cnfTransformation, [status(thm)], [f_77])).
% 8.12/3.00 tff(c_570, plain, (select('#skF_5'(elems('#skF_2')), '#skF_1')='#skE_6'), inference(superposition, [status(thm), theory('equality')], [c_543, c_44])).
% 8.12/3.00 tff(c_185, plain, (select('#skF_5'(elems('#skF_2')), '#skE_1')='#skE_5'), inference(define, [status(thm), theory('equality')], [c_171])).
% 8.12/3.00 tff(c_579, plain, ('#skE_6'='#skE_5' | '#skF_1'!='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_570, c_185])).
% 8.12/3.00 tff(c_599, plain, ('#skF_1'!='#skE_1'), inference(negUnitSimplification, [status(thm)], [c_514, c_579])).
% 8.12/3.00 tff(c_72, plain, ('#skF_3'(elems('#skF_2'))='#skE_1'), inference(define, [status(thm), theory('equality')], [c_45])).
% 8.12/3.00 tff(c_76, plain, ($less(0, '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_72, c_45])).
% 8.12/3.00 tff(f_1068, plain, (![A__questionmark_v_0_1_16:Array[Int,Int], A__questionmark_v_1_2_27a:$int]: (($less('#skF_3'(A__questionmark_v_0_1_16), size('#skF_2')) | ~(A__questionmark_v_1_2_27a = $difference('#skF_1', 1))) | ~(A__questionmark_v_0_1_16 = elems('#skF_2')))), inference(cnfTransformation, [status(thm)], [f_75])).
% 8.12/3.00 tff(f_1071, plain, (![A__questionmark_v_1_2_27a:$int]: ((![A__questionmark_v_1_2_27a:$int]: ~(A__questionmark_v_1_2_27a = $difference('#skF_1', 1))) <=> $false)), inference(theorem, [status(thm), theory('LIA')], [])).
% 8.12/3.00 tff(f_1072, plain, (![A__questionmark_v_0_1_16:Array[Int,Int]]: (($false | $less('#skF_3'(A__questionmark_v_0_1_16), size('#skF_2'))) | ~(A__questionmark_v_0_1_16 = elems('#skF_2')))), inference(equivalence, [status(thm)], [f_1068, f_1071])).
% 8.12/3.00 tff(c_46, plain, ($less('#skF_3'(elems('#skF_2')), size('#skF_2'))), inference(cnfTransformation, [status(thm)], [f_1072])).
% 8.12/3.00 tff(c_109, plain, ($less('#skE_1', size('#skF_2'))), inference(demodulation, [status(thm), theory('equality')], [c_75, c_46])).
% 8.12/3.00 tff(c_111, plain, (size('#skF_2')='#skE_3'), inference(define, [status(thm), theory('equality')], [c_109])).
% 8.12/3.00 tff(c_110, plain, ($less('#skE_1', size('#skF_2'))), inference(demodulation, [status(thm), theory('equality')], [c_75, c_46])).
% 8.12/3.00 tff(c_115, plain, ($less('#skE_1', '#skE_3')), inference(demodulation, [status(thm), theory('equality')], [c_111, c_110])).
% 8.12/3.00 tff(c_416, plain, (key('#skE_5')='#skE_11'), inference(define, [status(thm), theory('equality')], [c_188])).
% 8.12/3.00 tff(c_22, plain, ('#skF_3'(elems('#skF_2'))!=$difference('#skF_1', 1)), inference(cnfTransformation, [status(thm)], [f_75])).
% 8.12/3.00 tff(c_49, plain, ('#skF_3'(elems('#skF_2'))!=$sum($uminus(1), '#skF_1')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_22])).
% 8.12/3.00 tff(c_124, plain, ($sum($uminus(1), '#skF_1')!='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_75, c_49])).
% 8.12/3.00 tff(c_126, plain, ('#skF_1'!=$sum(1, '#skE_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_124])).
% 8.12/3.00 tff(c_43, plain, (![A_31:Array[Int,Int], I_32a:$int, E_34a:$int, J_33a:$int]: (select(store(A_31, I_32a, E_34a), J_33a)=select(A_31, J_33a) | J_33a=I_32a)), inference(cnfTransformation, [status(thm)], [f_82])).
% 8.12/3.00 tff(c_613, plain, (![J_148a:$int]: (select(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), J_148a)=select('#skF_5'(elems('#skF_2')), J_148a) | J_148a='#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_543, c_43])).
% 8.12/3.00 tff(c_727, plain, (![J_153a:$int]: (select('#skF_5'(elems('#skF_2')), J_153a)=select(elems('#skF_2'), J_153a) | J_153a='#skF_1' | J_153a=$sum($uminus(1), '#skF_1'))), inference(superposition, [status(thm), theory('equality')], [c_43, c_613])).
% 8.12/3.00 tff(c_774, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1' | $sum($uminus(1), '#skF_1')='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_727, c_185])).
% 8.12/3.00 tff(c_777, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1' | '#skF_1'=$sum(1, '#skE_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_774])).
% 8.12/3.00 tff(c_804, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5'), inference(negUnitSimplification, [status(thm)], [c_126, c_599, c_777])).
% 8.12/3.00 tff(c_275, plain, (key('#skE_7')='#skE_9'), inference(define, [status(thm), theory('equality')], [c_204])).
% 8.12/3.00 tff(c_386, plain, ('#skE_9'='#skE_10' | '#skE_7'!='#skE_4'), inference(superposition, [status(thm), theory('equality')], [c_361, c_275])).
% 8.12/3.00 tff(c_414, plain, ('#skE_7'!='#skE_4'), inference(splitLeft, [status(thm)], [c_386])).
% 8.12/3.00 tff(c_182, plain, (select('#skF_5'(elems('#skF_2')), '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_171])).
% 8.12/3.00 tff(c_640, plain, (select('#skF_5'(elems('#skF_2')), $sum($uminus(1), '#skF_1'))='#skE_7' | $sum($uminus(1), '#skF_1')='#skF_1'), inference(superposition, [status(thm), theory('equality')], [c_613, c_44])).
% 8.12/3.00 tff(c_655, plain, (select('#skF_5'(elems('#skF_2')), $sum($uminus(1), '#skF_1'))='#skE_7'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_640])).
% 8.12/3.00 tff(c_676, plain, ('#skE_7'='#skE_4' | $sum($uminus(1), '#skF_1')!='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_182, c_655])).
% 8.12/3.00 tff(c_708, plain, ($sum($uminus(1), '#skF_1')!='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_414, c_676])).
% 8.12/3.00 tff(c_710, plain, ('#skF_1'!=$sum(1, '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_708])).
% 8.12/3.00 tff(c_585, plain, ('#skE_6'='#skE_4' | '#skF_1'!='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_182, c_570])).
% 8.12/3.00 tff(c_606, plain, ('#skF_1'!='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_395, c_585])).
% 8.12/3.00 tff(c_790, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2' | $sum($uminus(1), '#skF_1')='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_182, c_727])).
% 8.12/3.00 tff(c_793, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2' | '#skF_1'=$sum(1, '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_790])).
% 8.12/3.00 tff(c_931, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4'), inference(negUnitSimplification, [status(thm)], [c_710, c_606, c_793])).
% 8.12/3.00 tff(c_114, plain, (size('#skF_2')='#skE_3'), inference(define, [status(thm), theory('equality')], [c_109])).
% 8.12/3.00 tff(c_10, plain, (![A__questionmark_j_24a:$int, A__questionmark_k_25a:$int]: ($lesseq(key(select(elems('#skF_2'), A__questionmark_j_24a)), key(select(elems('#skF_2'), A__questionmark_k_25a))) | ~$less(A__questionmark_j_24a, size('#skF_2')) | ~$greater(A__questionmark_j_24a, 0) | ~$greatereq(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, A__questionmark_j_24a) | A__questionmark_j_24a='#skF_1')), inference(cnfTransformation, [status(thm)], [f_75])).
% 8.12/3.00 tff(c_56, plain, (![A__questionmark_k_25a:$int, A__questionmark_j_24a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, size('#skF_2')) | ~$less(0, A__questionmark_j_24a) | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, A__questionmark_j_24a) | A__questionmark_j_24a='#skF_1')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_10])).
% 8.12/3.00 tff(c_293, plain, (![A__questionmark_k_25a:$int, A__questionmark_j_24a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, A__questionmark_j_24a) | A__questionmark_j_24a='#skF_1')), inference(demodulation, [status(thm), theory('equality')], [c_114, c_56])).
% 8.12/3.00 tff(c_952, plain, (![A__questionmark_j_24a:$int]: (~$less(key('#skE_4'), key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | $less('#skE_2', 0) | ~$less('#skE_2', A__questionmark_j_24a) | A__questionmark_j_24a='#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_931, c_293])).
% 8.12/3.00 tff(c_994, plain, (![A__questionmark_j_24a:$int]: (~$less('#skE_10', key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | $less('#skE_2', 0) | ~$less('#skE_2', A__questionmark_j_24a) | A__questionmark_j_24a='#skF_1')), inference(demodulation, [status(thm), theory('equality')], [c_360, c_952])).
% 8.12/3.00 tff(c_1091, plain, (![A__questionmark_j_191a:$int]: (~$less('#skE_10', key(select(elems('#skF_2'), A__questionmark_j_191a))) | ~$less(A__questionmark_j_191a, '#skE_3') | ~$less(0, A__questionmark_j_191a) | ~$less('#skE_2', A__questionmark_j_191a) | A__questionmark_j_191a='#skF_1')), inference(negUnitSimplification, [status(thm)], [c_98, c_994])).
% 8.12/3.00 tff(c_1099, plain, (~$less('#skE_10', key('#skE_5')) | ~$less('#skE_1', '#skE_3') | ~$less(0, '#skE_1') | ~$less('#skE_2', '#skE_1') | '#skF_1'='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_804, c_1091])).
% 8.12/3.00 tff(c_1115, plain, ('#skF_1'='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_128, c_76, c_115, c_358, c_416, c_1099])).
% 8.12/3.00 tff(c_1117, plain, $false, inference(negUnitSimplification, [status(thm)], [c_599, c_1115])).
% 8.12/3.00 tff(c_1121, plain, ('#skE_6'='#skE_5'), inference(splitRight, [status(thm)], [c_448])).
% 8.12/3.00 tff(c_1139, plain, ('#skE_5'!='#skE_4'), inference(demodulation, [status(thm), theory('equality')], [c_1121, c_395])).
% 8.12/3.00 tff(c_412, plain, (store(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), '#skF_1', '#skE_6')='#skF_5'(elems('#skF_2'))), inference(demodulation, [status(thm), theory('equality')], [c_402, c_401])).
% 8.12/3.00 tff(c_1235, plain, (store(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), '#skF_1', '#skE_5')='#skF_5'(elems('#skF_2'))), inference(demodulation, [status(thm), theory('equality')], [c_1121, c_412])).
% 8.12/3.00 tff(c_1993, plain, (select('#skF_5'(elems('#skF_2')), '#skF_1')='#skE_5'), inference(superposition, [status(thm), theory('equality')], [c_1235, c_44])).
% 8.12/3.00 tff(c_1999, plain, ('#skE_5'='#skE_4' | '#skF_1'!='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_1993, c_182])).
% 8.12/3.00 tff(c_2018, plain, ('#skF_1'!='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_1139, c_1999])).
% 8.12/3.00 tff(c_2032, plain, (![J_352a:$int]: (select(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), J_352a)=select('#skF_5'(elems('#skF_2')), J_352a) | J_352a='#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_1235, c_43])).
% 8.12/3.00 tff(c_2068, plain, (select('#skF_5'(elems('#skF_2')), $sum($uminus(1), '#skF_1'))='#skE_7' | $sum($uminus(1), '#skF_1')='#skF_1'), inference(superposition, [status(thm), theory('equality')], [c_44, c_2032])).
% 8.12/3.00 tff(c_2074, plain, (select('#skF_5'(elems('#skF_2')), $sum($uminus(1), '#skF_1'))='#skE_7'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_2068])).
% 8.12/3.00 tff(c_2083, plain, ('#skE_7'='#skE_4' | $sum($uminus(1), '#skF_1')!='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_2074, c_182])).
% 8.12/3.00 tff(c_2109, plain, ($sum($uminus(1), '#skF_1')!='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_414, c_2083])).
% 8.12/3.00 tff(c_2111, plain, ('#skF_1'!=$sum(1, '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_2109])).
% 8.12/3.00 tff(c_2146, plain, (![J_357a:$int]: (select('#skF_5'(elems('#skF_2')), J_357a)=select(elems('#skF_2'), J_357a) | J_357a=$sum($uminus(1), '#skF_1') | J_357a='#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_2032, c_43])).
% 8.12/3.00 tff(c_2189, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | $sum($uminus(1), '#skF_1')='#skE_2' | '#skF_1'='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_2146, c_182])).
% 8.12/3.00 tff(c_2192, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'=$sum(1, '#skE_2') | '#skF_1'='#skE_2'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_2189])).
% 8.12/3.00 tff(c_2223, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4'), inference(negUnitSimplification, [status(thm)], [c_2018, c_2111, c_2192])).
% 8.12/3.00 tff(c_2193, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | $sum($uminus(1), '#skF_1')='#skE_1' | '#skF_1'='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_2146, c_185])).
% 8.12/3.00 tff(c_2196, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'=$sum(1, '#skE_1') | '#skF_1'='#skE_1'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_2193])).
% 8.12/3.00 tff(c_2331, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1'), inference(negUnitSimplification, [status(thm)], [c_126, c_2196])).
% 8.12/3.00 tff(c_2333, plain, (select(elems('#skF_2'), '#skE_1')='#skE_12'), inference(define, [status(thm), theory('equality')], [c_2331])).
% 8.12/3.00 tff(c_2332, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1'), inference(negUnitSimplification, [status(thm)], [c_126, c_2196])).
% 8.12/3.00 tff(c_2340, plain, ('#skE_5'='#skE_12' | '#skF_1'='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_2333, c_2332])).
% 8.12/3.00 tff(c_2342, plain, ('#skF_1'='#skE_1'), inference(splitLeft, [status(thm)], [c_2340])).
% 8.12/3.00 tff(c_2354, plain, ($sum(1, '#skE_2')!='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_2342, c_2111])).
% 8.12/3.00 tff(c_2409, plain, ('#skE_2'!=$sum($uminus(1), '#skE_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_2354])).
% 8.12/3.00 tff(c_1312, plain, (![J_235a:$int]: (select(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), J_235a)=select('#skF_5'(elems('#skF_2')), J_235a) | J_235a='#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_1235, c_43])).
% 8.12/3.00 tff(c_1348, plain, (select('#skF_5'(elems('#skF_2')), $sum($uminus(1), '#skF_1'))='#skE_7' | $sum($uminus(1), '#skF_1')='#skF_1'), inference(superposition, [status(thm), theory('equality')], [c_44, c_1312])).
% 8.12/3.00 tff(c_1354, plain, (select('#skF_5'(elems('#skF_2')), $sum($uminus(1), '#skF_1'))='#skE_7'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_1348])).
% 8.12/3.00 tff(c_1363, plain, ('#skE_7'='#skE_4' | $sum($uminus(1), '#skF_1')!='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_1354, c_182])).
% 8.12/3.00 tff(c_1389, plain, ($sum($uminus(1), '#skF_1')!='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_414, c_1363])).
% 8.12/3.00 tff(c_1391, plain, ('#skF_1'!=$sum(1, '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_1389])).
% 8.12/3.00 tff(c_1271, plain, (select('#skF_5'(elems('#skF_2')), '#skF_1')='#skE_5'), inference(superposition, [status(thm), theory('equality')], [c_1235, c_44])).
% 8.12/3.00 tff(c_1277, plain, ('#skE_5'='#skE_4' | '#skF_1'!='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_1271, c_182])).
% 8.12/3.00 tff(c_1296, plain, ('#skF_1'!='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_1139, c_1277])).
% 8.12/3.00 tff(c_1430, plain, (![J_242a:$int]: (select('#skF_5'(elems('#skF_2')), J_242a)=select(elems('#skF_2'), J_242a) | J_242a='#skF_1' | J_242a=$sum($uminus(1), '#skF_1'))), inference(superposition, [status(thm), theory('equality')], [c_43, c_1312])).
% 8.12/3.00 tff(c_1493, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2' | $sum($uminus(1), '#skF_1')='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_182, c_1430])).
% 8.12/3.00 tff(c_1496, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2' | '#skF_1'=$sum(1, '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_1493])).
% 8.12/3.00 tff(c_1507, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4'), inference(negUnitSimplification, [status(thm)], [c_1391, c_1296, c_1496])).
% 8.12/3.00 tff(c_1477, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1' | $sum($uminus(1), '#skF_1')='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_1430, c_185])).
% 8.12/3.00 tff(c_1480, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1' | '#skF_1'=$sum(1, '#skE_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_1477])).
% 8.12/3.00 tff(c_1618, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1'), inference(negUnitSimplification, [status(thm)], [c_126, c_1480])).
% 8.12/3.00 tff(c_1620, plain, (select(elems('#skF_2'), '#skE_1')='#skE_12'), inference(define, [status(thm), theory('equality')], [c_1618])).
% 8.12/3.00 tff(c_1619, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1'), inference(negUnitSimplification, [status(thm)], [c_126, c_1480])).
% 8.12/3.00 tff(c_1627, plain, ('#skE_5'='#skE_12' | '#skF_1'='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_1620, c_1619])).
% 8.12/3.00 tff(c_1629, plain, ('#skF_1'='#skE_1'), inference(splitLeft, [status(thm)], [c_1627])).
% 8.12/3.00 tff(c_1639, plain, ($sum(1, '#skE_2')!='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_1629, c_1391])).
% 8.12/3.00 tff(c_1693, plain, ('#skE_2'!=$sum($uminus(1), '#skE_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_1639])).
% 8.12/3.00 tff(c_1120, plain, ('#skE_8'='#skE_11'), inference(splitRight, [status(thm)], [c_448])).
% 8.12/3.00 tff(c_318, plain, (key('#skE_6')='#skE_8'), inference(define, [status(thm), theory('equality')], [c_204])).
% 8.12/3.00 tff(c_462, plain, (select(elems('#skF_2'), $sum($uminus(1), '#skF_1'))='#skE_6'), inference(define, [status(thm), theory('equality')], [c_60])).
% 8.12/3.00 tff(c_473, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), key('#skE_6')) | ~$less($sum($uminus(1), '#skF_1'), '#skE_3') | ~$less(0, $sum($uminus(1), '#skF_1')) | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, $sum($uminus(1), '#skF_1')) | $sum($uminus(1), '#skF_1')='#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_462, c_293])).
% 8.12/3.00 tff(c_496, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), '#skE_8') | ~$less($sum($uminus(1), '#skF_1'), '#skE_3') | ~$less(0, $sum($uminus(1), '#skF_1')) | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, $sum($uminus(1), '#skF_1')) | $sum($uminus(1), '#skF_1')='#skF_1')), inference(demodulation, [status(thm), theory('equality')], [c_318, c_473])).
% 8.12/3.00 tff(c_499, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), '#skE_8') | ~$less('#skF_1', $sum(1, '#skE_3')) | ~$less(1, '#skF_1') | $less(A__questionmark_k_25a, 0) | ~$less($sum(1, A__questionmark_k_25a), '#skF_1'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_496])).
% 8.12/3.00 tff(c_1264, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), '#skE_11') | ~$less('#skF_1', $sum(1, '#skE_3')) | ~$less(1, '#skF_1') | $less(A__questionmark_k_25a, 0) | ~$less($sum(1, A__questionmark_k_25a), '#skF_1'))), inference(demodulation, [status(thm), theory('equality')], [c_1120, c_499])).
% 8.12/3.00 tff(c_1267, plain, (~$less(1, '#skF_1')), inference(splitLeft, [status(thm)], [c_1264])).
% 8.12/3.00 tff(c_1702, plain, (~$less(1, '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_1629, c_1267])).
% 8.12/3.00 tff(c_1717, plain, $false, inference(close, [status(thm), theory('LIA')], [c_1693, c_1702, c_128, c_98])).
% 8.12/3.00 tff(c_1721, plain, ('#skF_1'!='#skE_1'), inference(splitRight, [status(thm)], [c_1627])).
% 8.12/3.00 tff(c_1720, plain, ('#skE_5'='#skE_12'), inference(splitRight, [status(thm)], [c_1627])).
% 8.12/3.00 tff(c_357, plain, (key('#skE_5')='#skE_11'), inference(define, [status(thm), theory('equality')], [c_188])).
% 8.12/3.00 tff(c_1923, plain, (key('#skE_12')='#skE_11'), inference(demodulation, [status(thm), theory('equality')], [c_1720, c_357])).
% 8.12/3.00 tff(c_1724, plain, (select(elems('#skF_2'), '#skE_1')='#skE_12'), inference(define, [status(thm), theory('equality')], [c_1618])).
% 8.12/3.00 tff(c_1749, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), key('#skE_12')) | ~$less('#skE_1', '#skE_3') | ~$less(0, '#skE_1') | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, '#skE_1') | '#skF_1'='#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_1724, c_293])).
% 8.12/3.00 tff(c_1796, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), key('#skE_12')) | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, '#skE_1') | '#skF_1'='#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_76, c_115, c_1749])).
% 8.12/3.00 tff(c_1959, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), '#skE_11') | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, '#skE_1') | '#skF_1'='#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_1923, c_1796])).
% 8.12/3.00 tff(c_1965, plain, (![A__questionmark_k_343a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_343a)), '#skE_11') | $less(A__questionmark_k_343a, 0) | ~$less(A__questionmark_k_343a, '#skE_1'))), inference(negUnitSimplification, [status(thm)], [c_1721, c_1959])).
% 8.12/3.00 tff(c_1973, plain, (~$less(key('#skE_4'), '#skE_11') | $less('#skE_2', 0) | ~$less('#skE_2', '#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_1507, c_1965])).
% 8.12/3.00 tff(c_1984, plain, ($less('#skE_2', 0)), inference(demodulation, [status(thm), theory('equality')], [c_128, c_358, c_360, c_1973])).
% 8.12/3.00 tff(c_1986, plain, $false, inference(negUnitSimplification, [status(thm)], [c_98, c_1984])).
% 8.12/3.00 tff(c_1991, plain, (![A__questionmark_k_25a:$int]: (~$less('#skF_1', $sum(1, '#skE_3')) | ~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), '#skE_11') | $less(A__questionmark_k_25a, 0) | ~$less($sum(1, A__questionmark_k_25a), '#skF_1'))), inference(splitRight, [status(thm)], [c_1264])).
% 8.12/3.00 tff(c_2138, plain, (~$less('#skF_1', $sum(1, '#skE_3'))), inference(splitLeft, [status(thm)], [c_1991])).
% 8.12/3.00 tff(c_65, plain, ($less('#skF_1', size('#skF_2'))), inference(cnfTransformation, [status(thm)], [f_75])).
% 8.12/3.00 tff(c_123, plain, ($less('#skF_1', '#skE_3')), inference(demodulation, [status(thm), theory('equality')], [c_114, c_65])).
% 8.12/3.00 tff(c_2139, plain, $false, inference(close, [status(thm), theory('LIA')], [c_2138, c_123])).
% 8.12/3.00 tff(c_2301, plain, (![A__questionmark_k_371a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_371a)), '#skE_11') | $less(A__questionmark_k_371a, 0) | ~$less($sum(1, A__questionmark_k_371a), '#skF_1'))), inference(splitRight, [status(thm)], [c_1991])).
% 8.12/3.00 tff(c_2305, plain, (~$less(key('#skE_4'), '#skE_11') | $less('#skE_2', 0) | ~$less($sum(1, '#skE_2'), '#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_2223, c_2301])).
% 8.12/3.00 tff(c_2316, plain, ($less('#skE_2', 0) | ~$less($sum(1, '#skE_2'), '#skF_1')), inference(demodulation, [status(thm), theory('equality')], [c_358, c_360, c_2305])).
% 8.12/3.00 tff(c_2318, plain, (~$less($sum(1, '#skE_2'), '#skF_1')), inference(negUnitSimplification, [status(thm)], [c_98, c_2316])).
% 8.12/3.00 tff(c_2403, plain, (~$less($sum(1, '#skE_2'), '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_2342, c_2318])).
% 8.12/3.00 tff(c_2497, plain, $false, inference(close, [status(thm), theory('LIA')], [c_2409, c_2403, c_128])).
% 8.12/3.00 tff(c_2500, plain, ('#skE_5'='#skE_12'), inference(splitRight, [status(thm)], [c_2340])).
% 8.12/3.00 tff(c_2690, plain, (key('#skE_12')='#skE_11'), inference(demodulation, [status(thm), theory('equality')], [c_2500, c_357])).
% 8.12/3.00 tff(c_2501, plain, ('#skF_1'!='#skE_1'), inference(splitRight, [status(thm)], [c_2340])).
% 8.12/3.00 tff(c_2551, plain, (select(elems('#skF_2'), '#skE_1')='#skE_12'), inference(define, [status(thm), theory('equality')], [c_2331])).
% 8.12/3.00 tff(c_2573, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), key('#skE_12')) | ~$less('#skE_1', '#skE_3') | ~$less(0, '#skE_1') | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, '#skE_1') | '#skF_1'='#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_2551, c_293])).
% 8.12/3.00 tff(c_2610, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), key('#skE_12')) | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, '#skE_1') | '#skF_1'='#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_76, c_115, c_2573])).
% 8.12/3.00 tff(c_2614, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), key('#skE_12')) | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, '#skE_1'))), inference(negUnitSimplification, [status(thm)], [c_2501, c_2610])).
% 8.12/3.00 tff(c_2731, plain, (![A__questionmark_k_458a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_458a)), '#skE_11') | $less(A__questionmark_k_458a, 0) | ~$less(A__questionmark_k_458a, '#skE_1'))), inference(demodulation, [status(thm), theory('equality')], [c_2690, c_2614])).
% 8.12/3.00 tff(c_2739, plain, (~$less(key('#skE_4'), '#skE_11') | $less('#skE_2', 0) | ~$less('#skE_2', '#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_2223, c_2731])).
% 8.12/3.00 tff(c_2750, plain, ($less('#skE_2', 0)), inference(demodulation, [status(thm), theory('equality')], [c_128, c_358, c_360, c_2739])).
% 8.12/3.00 tff(c_2752, plain, $false, inference(negUnitSimplification, [status(thm)], [c_98, c_2750])).
% 8.12/3.00 tff(c_2756, plain, ('#skE_7'='#skE_4'), inference(splitRight, [status(thm)], [c_386])).
% 8.12/3.00 tff(c_2936, plain, (store(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_4'), '#skF_1', '#skE_6')='#skF_5'(elems('#skF_2'))), inference(demodulation, [status(thm), theory('equality')], [c_2756, c_412])).
% 8.12/3.00 tff(c_2964, plain, (select('#skF_5'(elems('#skF_2')), '#skF_1')='#skE_6'), inference(superposition, [status(thm), theory('equality')], [c_2936, c_44])).
% 8.12/3.00 tff(c_2970, plain, ('#skE_6'='#skE_4' | '#skF_1'!='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_2964, c_182])).
% 8.12/3.00 tff(c_2989, plain, ('#skF_1'!='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_395, c_2970])).
% 8.12/3.00 tff(c_3058, plain, (![J_512a:$int]: (select(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_4'), J_512a)=select('#skF_5'(elems('#skF_2')), J_512a) | J_512a='#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_2936, c_43])).
% 8.12/3.00 tff(c_3157, plain, (![J_516a:$int]: (select('#skF_5'(elems('#skF_2')), J_516a)=select(elems('#skF_2'), J_516a) | J_516a='#skF_1' | J_516a=$sum($uminus(1), '#skF_1'))), inference(superposition, [status(thm), theory('equality')], [c_43, c_3058])).
% 8.12/3.00 tff(c_3220, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2' | $sum($uminus(1), '#skF_1')='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_182, c_3157])).
% 8.12/3.00 tff(c_3223, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2' | '#skF_1'=$sum(1, '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3220])).
% 8.12/3.00 tff(c_3234, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'=$sum(1, '#skE_2')), inference(negUnitSimplification, [status(thm)], [c_2989, c_3223])).
% 8.12/3.00 tff(c_3236, plain, (select(elems('#skF_2'), '#skE_2')='#skE_13'), inference(define, [status(thm), theory('equality')], [c_3234])).
% 8.12/3.00 tff(c_3235, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'=$sum(1, '#skE_2')), inference(negUnitSimplification, [status(thm)], [c_2989, c_3223])).
% 8.12/3.00 tff(c_3243, plain, ('#skE_4'='#skE_13' | '#skF_1'=$sum(1, '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_3236, c_3235])).
% 8.12/3.00 tff(c_3245, plain, ('#skF_1'=$sum(1, '#skE_2')), inference(splitLeft, [status(thm)], [c_3243])).
% 8.12/3.00 tff(c_2817, plain, (key('#skE_5')='#skE_11'), inference(define, [status(thm), theory('equality')], [c_188])).
% 8.12/3.00 tff(c_2842, plain, ('#skE_8'='#skE_11' | '#skE_6'!='#skE_5'), inference(superposition, [status(thm), theory('equality')], [c_2817, c_272])).
% 8.12/3.00 tff(c_2851, plain, ('#skE_6'!='#skE_5'), inference(splitLeft, [status(thm)], [c_2842])).
% 8.12/3.00 tff(c_2982, plain, ('#skE_6'='#skE_5' | '#skF_1'!='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_185, c_2964])).
% 8.12/3.00 tff(c_3004, plain, ('#skF_1'!='#skE_1'), inference(negUnitSimplification, [status(thm)], [c_2851, c_2982])).
% 8.12/3.00 tff(c_3322, plain, ($sum(1, '#skE_2')!='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_3245, c_3004])).
% 8.12/3.00 tff(c_3368, plain, ('#skE_2'!=$sum($uminus(1), '#skE_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3322])).
% 8.12/3.00 tff(c_237, plain, (select('#skF_5'(elems('#skF_2')), '#skE_2')='#skE_4'), inference(define, [status(thm), theory('equality')], [c_171])).
% 8.12/3.00 tff(c_254, plain, ('#skE_5'='#skE_4' | '#skE_2'!='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_237, c_185])).
% 8.12/3.00 tff(c_261, plain, ('#skE_2'!='#skE_1'), inference(splitLeft, [status(thm)], [c_254])).
% 8.12/3.00 tff(c_3204, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1' | $sum($uminus(1), '#skF_1')='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_3157, c_185])).
% 8.12/3.00 tff(c_3207, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1' | '#skF_1'=$sum(1, '#skE_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3204])).
% 8.12/3.00 tff(c_3621, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | $sum(1, '#skE_2')='#skE_1' | $sum(1, '#skE_2')=$sum(1, '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_3245, c_3245, c_3207])).
% 8.12/3.00 tff(c_3624, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skE_2'=$sum($uminus(1), '#skE_1') | '#skE_2'='#skE_1'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3621])).
% 8.12/3.00 tff(c_3626, plain, (select(elems('#skF_2'), '#skE_1')='#skE_12'), inference(define, [status(thm), theory('equality')], [c_3624])).
% 8.12/3.00 tff(c_3625, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skE_2'=$sum($uminus(1), '#skE_1') | '#skE_2'='#skE_1'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3621])).
% 8.12/3.00 tff(c_3628, plain, ('#skE_5'='#skE_12' | '#skE_2'=$sum($uminus(1), '#skE_1') | '#skE_2'='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_3626, c_3625])).
% 8.12/3.00 tff(c_3634, plain, ('#skE_5'='#skE_12'), inference(negUnitSimplification, [status(thm)], [c_261, c_3368, c_3628])).
% 8.12/3.00 tff(c_3676, plain, (key('#skE_12')='#skE_11'), inference(demodulation, [status(thm), theory('equality')], [c_3634, c_357])).
% 8.12/3.00 tff(c_3224, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1' | $sum($uminus(1), '#skF_1')='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_185, c_3157])).
% 8.12/3.00 tff(c_3227, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1' | '#skF_1'=$sum(1, '#skE_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3224])).
% 8.12/3.00 tff(c_3638, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | $sum(1, '#skE_2')='#skE_1' | $sum(1, '#skE_2')=$sum(1, '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_3245, c_3245, c_3227])).
% 8.12/3.00 tff(c_3641, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skE_2'=$sum($uminus(1), '#skE_1') | '#skE_2'='#skE_1'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3638])).
% 8.12/3.00 tff(c_3712, plain, (select(elems('#skF_2'), '#skE_1')='#skE_12'), inference(define, [status(thm), theory('equality')], [c_3641])).
% 8.12/3.00 tff(c_2778, plain, (select(elems('#skF_2'), $sum($uminus(1), '#skF_1'))='#skE_6'), inference(define, [status(thm), theory('equality')], [c_60])).
% 8.12/3.00 tff(c_2785, plain, (![A__questionmark_j_24a:$int]: (~$less(key('#skE_6'), key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | $less($sum($uminus(1), '#skF_1'), 0) | ~$less($sum($uminus(1), '#skF_1'), A__questionmark_j_24a) | A__questionmark_j_24a='#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_2778, c_293])).
% 8.12/3.00 tff(c_2799, plain, (![A__questionmark_j_24a:$int]: (~$less('#skE_8', key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | $less($sum($uminus(1), '#skF_1'), 0) | ~$less($sum($uminus(1), '#skF_1'), A__questionmark_j_24a) | A__questionmark_j_24a='#skF_1')), inference(demodulation, [status(thm), theory('equality')], [c_318, c_2785])).
% 8.12/3.00 tff(c_2802, plain, (![A__questionmark_j_24a:$int]: (~$less('#skE_8', key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | $less('#skF_1', 1) | ~$less('#skF_1', $sum(1, A__questionmark_j_24a)) | A__questionmark_j_24a='#skF_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_2799])).
% 8.12/3.00 tff(c_3008, plain, ($less('#skF_1', 1)), inference(splitLeft, [status(thm)], [c_2802])).
% 8.12/3.00 tff(c_4, plain, ($greater('#skF_1', 0)), inference(cnfTransformation, [status(thm)], [f_75])).
% 8.12/3.00 tff(c_61, plain, ($less(0, '#skF_1')), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_4])).
% 8.12/3.00 tff(c_3051, plain, $false, inference(close, [status(thm), theory('LIA')], [c_3008, c_61])).
% 8.12/3.00 tff(c_3056, plain, (![A__questionmark_j_24a:$int]: (~$less('#skE_8', key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | ~$less('#skF_1', $sum(1, A__questionmark_j_24a)) | A__questionmark_j_24a='#skF_1')), inference(splitRight, [status(thm)], [c_2802])).
% 8.12/3.00 tff(c_3557, plain, (![A__questionmark_j_24a:$int]: (~$less('#skE_8', key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | ~$less($sum(1, '#skE_2'), $sum(1, A__questionmark_j_24a)) | A__questionmark_j_24a=$sum(1, '#skE_2'))), inference(demodulation, [status(thm), theory('equality')], [c_3245, c_3245, c_3056])).
% 8.12/3.00 tff(c_3560, plain, (![A__questionmark_j_24a:$int]: (~$less('#skE_8', key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | ~$less('#skE_2', A__questionmark_j_24a) | A__questionmark_j_24a=$sum(1, '#skE_2'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3557])).
% 8.12/3.00 tff(c_3722, plain, (~$less('#skE_8', key('#skE_12')) | ~$less('#skE_1', '#skE_3') | ~$less(0, '#skE_1') | ~$less('#skE_2', '#skE_1') | $sum(1, '#skE_2')='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_3712, c_3560])).
% 8.12/3.00 tff(c_3745, plain, (~$less('#skE_8', '#skE_11') | $sum(1, '#skE_2')='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_128, c_76, c_115, c_3676, c_3722])).
% 8.12/3.00 tff(c_3747, plain, (~$less('#skE_8', '#skE_11') | '#skE_2'=$sum($uminus(1), '#skE_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_3745])).
% 8.12/3.00 tff(c_3767, plain, (~$less('#skE_8', '#skE_11')), inference(negUnitSimplification, [status(thm)], [c_3368, c_3747])).
% 8.12/3.00 tff(c_2755, plain, ('#skE_9'='#skE_10'), inference(splitRight, [status(thm)], [c_386])).
% 8.12/3.00 tff(c_265, plain, (key('#skE_7')='#skE_9'), inference(define, [status(thm), theory('equality')], [c_204])).
% 8.12/3.00 tff(c_264, plain, (key('#skE_6')='#skE_8'), inference(define, [status(thm), theory('equality')], [c_204])).
% 8.12/3.00 tff(c_263, plain, ($less(key('#skE_6'), key('#skE_7'))), inference(demodulation, [status(thm), theory('equality')], [c_190, c_189, c_69])).
% 8.12/3.00 tff(c_276, plain, ($less('#skE_8', '#skE_9')), inference(demodulation, [status(thm), theory('equality')], [c_265, c_264, c_263])).
% 8.12/3.00 tff(c_2777, plain, ($less('#skE_8', '#skE_10')), inference(demodulation, [status(thm), theory('equality')], [c_2755, c_276])).
% 8.12/3.00 tff(c_3768, plain, $false, inference(close, [status(thm), theory('LIA')], [c_3767, c_2777, c_358])).
% 8.12/3.00 tff(c_3771, plain, ('#skE_4'='#skE_13'), inference(splitRight, [status(thm)], [c_3243])).
% 8.12/3.00 tff(c_3831, plain, (key('#skE_13')='#skE_10'), inference(demodulation, [status(thm), theory('equality')], [c_3771, c_354])).
% 8.12/3.00 tff(c_3242, plain, (select(elems('#skF_2'), '#skE_2')='#skE_13'), inference(define, [status(thm), theory('equality')], [c_3234])).
% 8.12/3.00 tff(c_4223, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5'), inference(negUnitSimplification, [status(thm)], [c_126, c_3004, c_3227])).
% 8.12/3.00 tff(c_4251, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), key('#skE_5')) | ~$less('#skE_1', '#skE_3') | ~$less(0, '#skE_1') | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, '#skE_1') | '#skF_1'='#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_4223, c_293])).
% 8.12/3.00 tff(c_4299, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), '#skE_11') | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, '#skE_1') | '#skF_1'='#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_76, c_115, c_416, c_4251])).
% 8.12/3.00 tff(c_4340, plain, (![A__questionmark_k_667a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_667a)), '#skE_11') | $less(A__questionmark_k_667a, 0) | ~$less(A__questionmark_k_667a, '#skE_1'))), inference(negUnitSimplification, [status(thm)], [c_3004, c_4299])).
% 8.12/3.00 tff(c_4352, plain, (~$less(key('#skE_13'), '#skE_11') | $less('#skE_2', 0) | ~$less('#skE_2', '#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_3242, c_4340])).
% 8.12/3.00 tff(c_4366, plain, ($less('#skE_2', 0)), inference(demodulation, [status(thm), theory('equality')], [c_128, c_358, c_3831, c_4352])).
% 8.12/3.00 tff(c_4368, plain, $false, inference(negUnitSimplification, [status(thm)], [c_98, c_4366])).
% 8.12/3.00 tff(c_4371, plain, ('#skE_8'='#skE_11'), inference(splitRight, [status(thm)], [c_2842])).
% 8.12/3.00 tff(c_4436, plain, ($less('#skE_11', '#skE_10')), inference(demodulation, [status(thm), theory('equality')], [c_4371, c_2777])).
% 8.12/3.00 tff(c_4458, plain, $false, inference(close, [status(thm), theory('LIA')], [c_4436, c_358])).
% 8.12/3.00 tff(c_4462, plain, ('#skE_6'='#skE_4'), inference(splitRight, [status(thm)], [c_384])).
% 8.12/3.00 tff(c_4516, plain, (store(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), '#skF_1', select(elems('#skF_2'), $sum($uminus(1), '#skF_1')))='#skF_5'(elems('#skF_2'))), inference(demodulation, [status(thm), theory('equality')], [c_206, c_53])).
% 8.12/3.00 tff(c_4518, plain, (select(elems('#skF_2'), $sum($uminus(1), '#skF_1'))='#skE_6'), inference(define, [status(thm), theory('equality')], [c_4516])).
% 8.12/3.00 tff(c_4517, plain, (store(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), '#skF_1', select(elems('#skF_2'), $sum($uminus(1), '#skF_1')))='#skF_5'(elems('#skF_2'))), inference(demodulation, [status(thm), theory('equality')], [c_206, c_53])).
% 8.12/3.00 tff(c_4521, plain, (store(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), '#skF_1', '#skE_6')='#skF_5'(elems('#skF_2'))), inference(demodulation, [status(thm), theory('equality')], [c_4518, c_4517])).
% 8.12/3.00 tff(c_4621, plain, (store(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), '#skF_1', '#skE_4')='#skF_5'(elems('#skF_2'))), inference(demodulation, [status(thm), theory('equality')], [c_4462, c_4521])).
% 8.12/3.00 tff(c_4648, plain, (select('#skF_5'(elems('#skF_2')), '#skF_1')='#skE_4'), inference(superposition, [status(thm), theory('equality')], [c_4621, c_44])).
% 8.12/3.00 tff(c_4657, plain, ('#skE_5'='#skE_4' | '#skF_1'!='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_4648, c_185])).
% 8.12/3.00 tff(c_4676, plain, ('#skF_1'!='#skE_1'), inference(negUnitSimplification, [status(thm)], [c_4540, c_4657])).
% 8.12/3.00 tff(c_4689, plain, (![J_743a:$int]: (select(store(elems('#skF_2'), $sum($uminus(1), '#skF_1'), '#skE_7'), J_743a)=select('#skF_5'(elems('#skF_2')), J_743a) | J_743a='#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_4621, c_43])).
% 8.12/3.00 tff(c_5058, plain, (![J_769a:$int]: (select('#skF_5'(elems('#skF_2')), J_769a)=select(elems('#skF_2'), J_769a) | J_769a='#skF_1' | J_769a=$sum($uminus(1), '#skF_1'))), inference(superposition, [status(thm), theory('equality')], [c_43, c_4689])).
% 8.12/3.00 tff(c_5125, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1' | $sum($uminus(1), '#skF_1')='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_185, c_5058])).
% 8.12/3.00 tff(c_5128, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1' | '#skF_1'=$sum(1, '#skE_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_5125])).
% 8.12/3.00 tff(c_5145, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5'), inference(negUnitSimplification, [status(thm)], [c_126, c_4676, c_5128])).
% 8.12/3.00 tff(c_319, plain, (key('#skE_6')='#skE_8'), inference(define, [status(thm), theory('equality')], [c_204])).
% 8.12/3.00 tff(c_336, plain, ('#skE_9'='#skE_8' | '#skE_7'!='#skE_6'), inference(superposition, [status(thm), theory('equality')], [c_319, c_275])).
% 8.12/3.00 tff(c_343, plain, ('#skE_7'!='#skE_6'), inference(splitLeft, [status(thm)], [c_336])).
% 8.12/3.00 tff(c_4470, plain, ('#skE_7'!='#skE_4'), inference(demodulation, [status(thm), theory('equality')], [c_4462, c_343])).
% 8.12/3.00 tff(c_4725, plain, (select('#skF_5'(elems('#skF_2')), $sum($uminus(1), '#skF_1'))='#skE_7' | $sum($uminus(1), '#skF_1')='#skF_1'), inference(superposition, [status(thm), theory('equality')], [c_44, c_4689])).
% 8.12/3.00 tff(c_4997, plain, (select('#skF_5'(elems('#skF_2')), $sum($uminus(1), '#skF_1'))='#skE_7'), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_4725])).
% 8.12/3.00 tff(c_5018, plain, ('#skE_7'='#skE_4' | $sum($uminus(1), '#skF_1')!='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_182, c_4997])).
% 8.12/3.00 tff(c_5050, plain, ($sum($uminus(1), '#skF_1')!='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_4470, c_5018])).
% 8.12/3.00 tff(c_5052, plain, ('#skF_1'!=$sum(1, '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_5050])).
% 8.12/3.00 tff(c_5121, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2' | $sum($uminus(1), '#skF_1')='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_182, c_5058])).
% 8.12/3.00 tff(c_5124, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2' | '#skF_1'=$sum(1, '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_5121])).
% 8.12/3.00 tff(c_5588, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_5052, c_5124])).
% 8.12/3.00 tff(c_5590, plain, (select(elems('#skF_2'), '#skE_2')='#skE_13'), inference(define, [status(thm), theory('equality')], [c_5588])).
% 8.12/3.00 tff(c_5589, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_5052, c_5124])).
% 8.12/3.00 tff(c_5597, plain, ('#skE_4'='#skE_13' | '#skF_1'='#skE_2'), inference(demodulation, [status(thm), theory('equality')], [c_5590, c_5589])).
% 8.12/3.00 tff(c_5612, plain, ('#skF_1'='#skE_2'), inference(splitLeft, [status(thm)], [c_5597])).
% 8.12/3.00 tff(c_198, plain, (select(elems('#skF_2'), $sum($uminus(1), '#skF_1'))='#skE_6'), inference(define, [status(thm), theory('equality')], [c_60])).
% 8.12/3.00 tff(c_4547, plain, (select(elems('#skF_2'), $sum($uminus(1), '#skF_1'))='#skE_4'), inference(demodulation, [status(thm), theory('equality')], [c_4462, c_198])).
% 8.12/3.00 tff(c_4554, plain, (![A__questionmark_j_24a:$int]: (~$less(key('#skE_4'), key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | $less($sum($uminus(1), '#skF_1'), 0) | ~$less($sum($uminus(1), '#skF_1'), A__questionmark_j_24a) | A__questionmark_j_24a='#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_4547, c_293])).
% 8.12/3.00 tff(c_4574, plain, (![A__questionmark_j_24a:$int]: (~$less('#skE_10', key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | $less($sum($uminus(1), '#skF_1'), 0) | ~$less($sum($uminus(1), '#skF_1'), A__questionmark_j_24a) | A__questionmark_j_24a='#skF_1')), inference(demodulation, [status(thm), theory('equality')], [c_360, c_4554])).
% 8.12/3.00 tff(c_4577, plain, (![A__questionmark_j_24a:$int]: (~$less('#skE_10', key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | $less('#skF_1', 1) | ~$less('#skF_1', $sum(1, A__questionmark_j_24a)) | A__questionmark_j_24a='#skF_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_4574])).
% 8.12/3.00 tff(c_6064, plain, (![A__questionmark_j_24a:$int]: (~$less('#skE_10', key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | $less('#skE_2', 1) | ~$less('#skE_2', $sum(1, A__questionmark_j_24a)) | A__questionmark_j_24a='#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_5612, c_5612, c_5612, c_4577])).
% 8.12/3.00 tff(c_6067, plain, ($less('#skE_2', 1)), inference(splitLeft, [status(thm)], [c_6064])).
% 8.12/3.00 tff(c_4796, plain, (![J_747a:$int]: (select('#skF_5'(elems('#skF_2')), J_747a)=select(elems('#skF_2'), J_747a) | J_747a='#skF_1' | J_747a=$sum($uminus(1), '#skF_1'))), inference(superposition, [status(thm), theory('equality')], [c_43, c_4689])).
% 8.12/3.00 tff(c_4843, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1' | $sum($uminus(1), '#skF_1')='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_4796, c_185])).
% 8.12/3.00 tff(c_4846, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5' | '#skF_1'='#skE_1' | '#skF_1'=$sum(1, '#skE_1')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_4843])).
% 8.12/3.00 tff(c_4873, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5'), inference(negUnitSimplification, [status(thm)], [c_126, c_4676, c_4846])).
% 8.12/3.00 tff(c_4952, plain, ($less('#skF_1', 1)), inference(splitLeft, [status(thm)], [c_4577])).
% 8.12/3.00 tff(c_4954, plain, $false, inference(close, [status(thm), theory('LIA')], [c_4952, c_61])).
% 8.12/3.00 tff(c_4963, plain, (![A__questionmark_j_763a:$int]: (~$less('#skE_10', key(select(elems('#skF_2'), A__questionmark_j_763a))) | ~$less(A__questionmark_j_763a, '#skE_3') | ~$less(0, A__questionmark_j_763a) | ~$less('#skF_1', $sum(1, A__questionmark_j_763a)) | A__questionmark_j_763a='#skF_1')), inference(splitRight, [status(thm)], [c_4577])).
% 8.12/3.00 tff(c_4967, plain, (~$less('#skE_10', key('#skE_5')) | ~$less('#skE_1', '#skE_3') | ~$less(0, '#skE_1') | ~$less('#skF_1', $sum(1, '#skE_1')) | '#skF_1'='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_4873, c_4963])).
% 8.12/3.00 tff(c_4978, plain, (~$less('#skF_1', $sum(1, '#skE_1')) | '#skF_1'='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_76, c_115, c_358, c_416, c_4967])).
% 8.12/3.00 tff(c_4980, plain, (~$less('#skF_1', $sum(1, '#skE_1'))), inference(negUnitSimplification, [status(thm)], [c_4676, c_4978])).
% 8.12/3.00 tff(c_4558, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), key('#skE_4')) | ~$less($sum($uminus(1), '#skF_1'), '#skE_3') | ~$less(0, $sum($uminus(1), '#skF_1')) | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, $sum($uminus(1), '#skF_1')) | $sum($uminus(1), '#skF_1')='#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_4547, c_293])).
% 8.12/3.00 tff(c_4581, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), '#skE_10') | ~$less($sum($uminus(1), '#skF_1'), '#skE_3') | ~$less(0, $sum($uminus(1), '#skF_1')) | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, $sum($uminus(1), '#skF_1')) | $sum($uminus(1), '#skF_1')='#skF_1')), inference(demodulation, [status(thm), theory('equality')], [c_360, c_4558])).
% 8.12/3.00 tff(c_4584, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), '#skE_10') | ~$less('#skF_1', $sum(1, '#skE_3')) | ~$less(1, '#skF_1') | $less(A__questionmark_k_25a, 0) | ~$less($sum(1, A__questionmark_k_25a), '#skF_1'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_4581])).
% 8.12/3.00 tff(c_4732, plain, (~$less(1, '#skF_1')), inference(splitLeft, [status(thm)], [c_4584])).
% 8.12/3.00 tff(c_4990, plain, $false, inference(close, [status(thm), theory('LIA')], [c_4980, c_4732, c_76])).
% 8.12/3.00 tff(c_4996, plain, ($less(1, '#skF_1')), inference(splitRight, [status(thm)], [c_4584])).
% 8.12/3.00 tff(c_5673, plain, ($less(1, '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_5612, c_4996])).
% 8.12/3.00 tff(c_6069, plain, $false, inference(close, [status(thm), theory('LIA')], [c_6067, c_5673])).
% 8.12/3.00 tff(c_6075, plain, (~$less('#skE_2', 1)), inference(splitRight, [status(thm)], [c_6064])).
% 8.12/3.00 tff(c_4545, plain, (select(elems('#skF_2'), $sum($uminus(1), '#skF_1'))='#skE_4'), inference(demodulation, [status(thm), theory('equality')], [c_4462, c_198])).
% 8.12/3.00 tff(c_5687, plain, (select(elems('#skF_2'), $sum($uminus(1), '#skE_2'))='#skE_4'), inference(demodulation, [status(thm), theory('equality')], [c_5612, c_4545])).
% 8.12/3.00 tff(c_5147, plain, (select(elems('#skF_2'), '#skE_1')='#skE_5'), inference(negUnitSimplification, [status(thm)], [c_126, c_4676, c_5128])).
% 8.12/3.00 tff(c_5165, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), key('#skE_5')) | ~$less('#skE_1', '#skE_3') | ~$less(0, '#skE_1') | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, '#skE_1') | '#skF_1'='#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_5147, c_293])).
% 8.12/3.00 tff(c_5200, plain, (![A__questionmark_k_25a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_25a)), '#skE_11') | $less(A__questionmark_k_25a, 0) | ~$less(A__questionmark_k_25a, '#skE_1') | '#skF_1'='#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_76, c_115, c_416, c_5165])).
% 8.12/3.00 tff(c_6082, plain, (![A__questionmark_k_930a:$int]: (~$less(key(select(elems('#skF_2'), A__questionmark_k_930a)), '#skE_11') | $less(A__questionmark_k_930a, 0) | ~$less(A__questionmark_k_930a, '#skE_1'))), inference(negUnitSimplification, [status(thm)], [c_4676, c_5200])).
% 8.12/3.00 tff(c_6086, plain, (~$less(key('#skE_4'), '#skE_11') | $less($sum($uminus(1), '#skE_2'), 0) | ~$less($sum($uminus(1), '#skE_2'), '#skE_1')), inference(superposition, [status(thm), theory('equality')], [c_5687, c_6082])).
% 8.12/3.00 tff(c_6097, plain, ($less($sum($uminus(1), '#skE_2'), 0) | ~$less($sum($uminus(1), '#skE_2'), '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_358, c_360, c_6086])).
% 8.12/3.00 tff(c_6099, plain, ($less('#skE_2', 1) | ~$less('#skE_2', $sum(1, '#skE_1'))), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_6097])).
% 8.12/3.00 tff(c_6108, plain, (~$less('#skE_2', $sum(1, '#skE_1'))), inference(negUnitSimplification, [status(thm)], [c_6075, c_6099])).
% 8.12/3.00 tff(c_6109, plain, $false, inference(close, [status(thm), theory('LIA')], [c_6108, c_128])).
% 8.12/3.00 tff(c_6112, plain, ('#skE_4'='#skE_13'), inference(splitRight, [status(thm)], [c_5597])).
% 8.12/3.00 tff(c_6302, plain, (key('#skE_13')='#skE_10'), inference(demodulation, [status(thm), theory('equality')], [c_6112, c_354])).
% 8.12/3.00 tff(c_5101, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2' | $sum($uminus(1), '#skF_1')='#skE_2'), inference(superposition, [status(thm), theory('equality')], [c_5058, c_182])).
% 8.12/3.00 tff(c_5104, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2' | '#skF_1'=$sum(1, '#skE_2')), inference(backgroundSimplification, [status(thm), theory('LIA')], [c_5101])).
% 8.12/3.00 tff(c_5601, plain, (select(elems('#skF_2'), '#skE_2')='#skE_4' | '#skF_1'='#skE_2'), inference(negUnitSimplification, [status(thm)], [c_5052, c_5104])).
% 8.12/3.00 tff(c_6114, plain, (select(elems('#skF_2'), '#skE_2')='#skE_13'), inference(define, [status(thm), theory('equality')], [c_5601])).
% 8.12/3.00 tff(c_6164, plain, (![A__questionmark_j_24a:$int]: (~$less(key('#skE_13'), key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | $less('#skE_2', 0) | ~$less('#skE_2', A__questionmark_j_24a) | A__questionmark_j_24a='#skF_1')), inference(superposition, [status(thm), theory('equality')], [c_6114, c_293])).
% 8.12/3.00 tff(c_6338, plain, (![A__questionmark_j_24a:$int]: (~$less('#skE_10', key(select(elems('#skF_2'), A__questionmark_j_24a))) | ~$less(A__questionmark_j_24a, '#skE_3') | ~$less(0, A__questionmark_j_24a) | $less('#skE_2', 0) | ~$less('#skE_2', A__questionmark_j_24a) | A__questionmark_j_24a='#skF_1')), inference(demodulation, [status(thm), theory('equality')], [c_6302, c_6164])).
% 8.12/3.00 tff(c_6344, plain, (![A__questionmark_j_972a:$int]: (~$less('#skE_10', key(select(elems('#skF_2'), A__questionmark_j_972a))) | ~$less(A__questionmark_j_972a, '#skE_3') | ~$less(0, A__questionmark_j_972a) | ~$less('#skE_2', A__questionmark_j_972a) | A__questionmark_j_972a='#skF_1')), inference(negUnitSimplification, [status(thm)], [c_98, c_6338])).
% 8.12/3.00 tff(c_6352, plain, (~$less('#skE_10', key('#skE_5')) | ~$less('#skE_1', '#skE_3') | ~$less(0, '#skE_1') | ~$less('#skE_2', '#skE_1') | '#skF_1'='#skE_1'), inference(superposition, [status(thm), theory('equality')], [c_5145, c_6344])).
% 8.12/3.00 tff(c_6364, plain, ('#skF_1'='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_128, c_76, c_115, c_358, c_416, c_6352])).
% 8.12/3.00 tff(c_6366, plain, $false, inference(negUnitSimplification, [status(thm)], [c_4676, c_6364])).
% 8.12/3.00 tff(c_6369, plain, ('#skE_11'='#skE_10'), inference(splitRight, [status(thm)], [c_4507])).
% 8.12/3.00 tff(c_6389, plain, ($less('#skE_10', '#skE_10')), inference(demodulation, [status(thm), theory('equality')], [c_6369, c_358])).
% 8.12/3.00 tff(c_6392, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_6389])).
% 8.12/3.00 tff(c_6395, plain, ('#skE_9'='#skE_8'), inference(splitRight, [status(thm)], [c_336])).
% 8.12/3.00 tff(c_6402, plain, ($less('#skE_8', '#skE_8')), inference(demodulation, [status(thm), theory('equality')], [c_6395, c_276])).
% 8.12/3.00 tff(c_6408, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_6402])).
% 8.12/3.00 tff(c_6412, plain, ('#skE_2'='#skE_1'), inference(splitRight, [status(thm)], [c_254])).
% 8.12/3.00 tff(c_6447, plain, ($less('#skE_1', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_6412, c_128])).
% 8.12/3.00 tff(c_6457, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_6447])).
% 8.12/3.00 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.12/3.00
% 8.12/3.00 Inference rules
% 8.12/3.00 ----------------------
% 8.12/3.00 #Ref : 1
% 8.12/3.00 #Sup : 651
% 8.12/3.00 #Fact : 0
% 8.12/3.00 #Define : 21
% 8.12/3.00 #Split : 38
% 8.12/3.00 #Chain : 0
% 8.12/3.00 #Close : 18
% 8.12/3.00
% 8.12/3.00 Ordering : LPO
% 8.12/3.00
% 8.12/3.00 Simplification rules
% 8.12/3.00 ----------------------
% 8.12/3.00 #Subsume : 178
% 8.12/3.00 #Demod : 547
% 8.12/3.00 #Tautology : 380
% 8.12/3.00 #SimpNegUnit : 263
% 8.12/3.00 #BackRed : 154
% 8.12/3.00
% 8.12/3.00 #Partial instantiations: 0
% 8.12/3.00 #Strategies tried : 1
% 8.12/3.00
% 8.12/3.00 Timing (in seconds)
% 8.12/3.00 ----------------------
% 8.12/3.00 Preprocessing : 0.56
% 8.12/3.00 Parsing : 0.28
% 8.12/3.00 CNF conversion : 0.04
% 8.12/3.00 Main loop : 1.31
% 8.12/3.00 Inferencing : 0.23
% 8.12/3.00 Reduction : 0.35
% 8.12/3.00 Demodulation : 0.26
% 8.12/3.00 BG Simplification : 0.10
% 8.12/3.00 Subsumption : 0.18
% 8.12/3.00 Abstraction : 0.05
% 8.12/3.00 MUC search : 0.22
% 8.12/3.00 Cooper : 0.34
% 8.12/3.00 Total : 2.07
% 8.12/3.00 Index Insertion : 0.00
% 8.12/3.00 Index Deletion : 0.00
% 8.12/3.00 Index Matching : 0.00
% 8.12/3.00 BG Taut test : 0.00
%------------------------------------------------------------------------------