TSTP Solution File: DAT330_1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : DAT330_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/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 : n022.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 15.75s 4.83s
% Output : CNFRefutation 16.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT330_1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.13 % 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
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 13:12:33 EDT 2023
% 0.14/0.34 % CPUTime :
% 15.75/4.83 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.75/4.86
% 15.75/4.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.75/4.88 %$ member > store:(Array[Int,Int]*Int*Int)>Array[Int,Int] > select:(Array[Int,Int]*Int)>Int > insert > delete > #nlpp > sup > g > const:(Int)>Array[Int,Int] > s4 > s3 > s2 > s1 > s0 > arr > #skF_1
% 15.75/4.88
% 15.75/4.88 %Foreground sorts:
% 15.75/4.88 tff(Array[Int,Int], type, Array[Int,Int]: $tType ).
% 15.75/4.88 tff(Set, type, Set: $tType ).
% 15.75/4.88
% 15.75/4.88 %Background operators:
% 15.75/4.88 tff('#skE_7', type, '#skE_7': $int).
% 15.75/4.88 tff('#skE_11', type, '#skE_11': $int).
% 15.75/4.88 tff('#skE_12', type, '#skE_12': $int).
% 15.75/4.88 tff(i2, type, i2: $int).
% 15.75/4.88 tff(i3, type, i3: $int).
% 15.75/4.88 tff('#skE_2', type, '#skE_2': $int).
% 15.75/4.88 tff('#skE_1', type, '#skE_1': $int).
% 15.75/4.88 tff('#skE_6', type, '#skE_6': $int).
% 15.75/4.88 tff('#skE_10', type, '#skE_10': $int).
% 15.75/4.88 tff('#skE_5', type, '#skE_5': $int).
% 15.75/4.88 tff('#skE_8', type, '#skE_8': $int).
% 15.75/4.88 tff('#skE_4', type, '#skE_4': $int).
% 15.75/4.88 tff(i1, type, i1: $int).
% 15.75/4.88 tff('#skE_3', type, '#skE_3': $int).
% 15.75/4.88 tff('#skE_9', type, '#skE_9': $int).
% 15.75/4.88 tff(i4, type, i4: $int).
% 15.75/4.88
% 15.75/4.88 %Foreground operators:
% 15.75/4.88 tff(s2, type, s2: Set).
% 15.75/4.88 tff(s4, type, s4: Set).
% 15.75/4.88 tff(delete, type, delete: (Set * $int) > Set).
% 15.75/4.88 tff(insert, type, insert: (Set * $int) > Set).
% 15.75/4.88 tff('#skF_1', type, '#skF_1': (Array[Int,Int] * Array[Int,Int]) > $int).
% 15.75/4.88 tff(select:(Array[Int,Int]*Int)>Int, type, select:(Array[Int,Int]*Int)>Int: (Array[Int,Int] * $int) > $int).
% 15.75/4.88 tff(s0, type, s0: Set).
% 15.75/4.88 tff(member, type, member: ($int * Set) > $o).
% 15.75/4.88 tff(arr, type, arr: Array[Int,Int]).
% 15.75/4.88 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]).
% 15.75/4.88 tff(s1, type, s1: Set).
% 15.75/4.88 tff(sup, type, sup: Set > $int).
% 15.75/4.88 tff(s3, type, s3: Set).
% 15.75/4.88 tff(g, type, g: $int > $int).
% 15.75/4.88 tff(const:(Int)>Array[Int,Int], type, const:(Int)>Array[Int,Int]: $int > Array[Int,Int]).
% 15.75/4.88
% 16.34/4.92 tff(f_78, axiom, ~(sup(s3) = sup(s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_15)).
% 16.34/4.92 tff(f_51, axiom, (![A__questionmark_s:Set]: member(sup(A__questionmark_s), A__questionmark_s)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_6)).
% 16.34/4.92 tff(f_73, axiom, (($greater(i1, 0) => (s1 = insert(s0, select(arr, i1)))) & (~$greater(i1, 0) => (s1 = s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_11)).
% 16.34/4.92 tff(f_30, axiom, (![A__questionmark_xa:$int, A__questionmark_s:Set]: member(A__questionmark_xa, insert(A__questionmark_s, A__questionmark_xa))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_1)).
% 16.34/4.92 tff(f_55, axiom, (![A__questionmark_s:Set, A__questionmark_xa:$int]: (member(A__questionmark_xa, A__questionmark_s) => $lesseq(A__questionmark_xa, sup(A__questionmark_s)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_7)).
% 16.34/4.92 tff(f_37, axiom, (![A__questionmark_xa:$int, A__questionmark_ya:$int, A__questionmark_s:Set]: (~(A__questionmark_xa = A__questionmark_ya) => (member(A__questionmark_xa, insert(A__questionmark_s, A__questionmark_ya)) <=> member(A__questionmark_xa, A__questionmark_s)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_2)).
% 16.34/4.92 tff(f_74, axiom, (s2 = insert(s1, select(arr, g(i2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_12)).
% 16.34/4.92 tff(f_75, axiom, (s3 = insert(s2, select(arr, g(i3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_13)).
% 16.34/4.92 tff(f_65, axiom, (![A__questionmark_ia:$int]: $greater(g(A__questionmark_ia), 0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_10)).
% 16.34/4.92 tff(f_63, axiom, (![A__questionmark_ia:$int]: ($greater(A__questionmark_ia, 0) => $less(select(arr, A__questionmark_ia), sup(s0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_9)).
% 16.34/4.92 tff(f_59, axiom, (![A__questionmark_s:Set, A__questionmark_xa:$int]: ($less(sup(A__questionmark_s), A__questionmark_xa) => (sup(insert(A__questionmark_s, A__questionmark_xa)) = A__questionmark_xa))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', formula_8)).
% 16.34/4.92 tff(c_45, plain, (sup(s3)!=sup(s0)), inference(cnfTransformation, [status(thm)], [f_78])).
% 16.34/4.92 tff(c_87, plain, (sup(s0)='#skE_2'), inference(define, [status(thm), theory('equality')], [c_45])).
% 16.34/4.92 tff(c_102, plain, (![A__questionmark_s_41:Set]: (member(sup(A__questionmark_s_41), A__questionmark_s_41))), inference(cnfTransformation, [status(thm)], [f_51])).
% 16.34/4.92 tff(c_113, plain, (member('#skE_2', s0)), inference(superposition, [status(thm), theory('equality')], [c_87, c_102])).
% 16.34/4.92 tff(c_22, plain, (s1=s0 | $greater(i1, 0)), inference(cnfTransformation, [status(thm)], [f_73])).
% 16.34/4.92 tff(c_62, plain, (s1=s0 | $less(0, i1)), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_22])).
% 16.34/4.92 tff(c_130, plain, ($less(0, i1)), inference(splitLeft, [status(thm)], [c_62])).
% 16.34/4.92 tff(c_24, plain, (insert(s0, select(arr, i1))=s1 | ~$greater(i1, 0)), inference(cnfTransformation, [status(thm)], [f_73])).
% 16.34/4.92 tff(c_61, plain, (insert(s0, select(arr, i1))=s1 | ~$less(0, i1)), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_24])).
% 16.34/4.92 tff(c_780, plain, (insert(s0, select(arr, i1))=s1), inference(demodulation, [status(thm), theory('equality')], [c_130, c_61])).
% 16.34/4.92 tff(c_782, plain, (select(arr, i1)='#skE_11'), inference(define, [status(thm), theory('equality')], [c_780])).
% 16.34/4.92 tff(c_781, plain, (insert(s0, select(arr, i1))=s1), inference(demodulation, [status(thm), theory('equality')], [c_130, c_61])).
% 16.34/4.92 tff(c_904, plain, (insert(s0, '#skE_11')=s1), inference(demodulation, [status(thm), theory('equality')], [c_782, c_781])).
% 16.34/4.92 tff(c_73, plain, (![A__questionmark_x_1a:$int, A__questionmark_s_2:Set]: (member(A__questionmark_x_1a, insert(A__questionmark_s_2, A__questionmark_x_1a)))), inference(cnfTransformation, [status(thm)], [f_30])).
% 16.34/4.92 tff(c_13, plain, (![A__questionmark_x_15a:$int, A__questionmark_s_14:Set]: ($lesseq(A__questionmark_x_15a, sup(A__questionmark_s_14)) | ~member(A__questionmark_x_15a, A__questionmark_s_14))), inference(cnfTransformation, [status(thm)], [f_55])).
% 16.34/4.92 tff(c_149, plain, (![A__questionmark_s_57:Set, A__questionmark_x_58a:$int]: (~$less(sup(A__questionmark_s_57), A__questionmark_x_58a) | ~member(A__questionmark_x_58a, A__questionmark_s_57))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_13])).
% 16.34/4.92 tff(c_173, plain, (![A__questionmark_s_2:Set, A__questionmark_x_1a:$int]: (~$less(sup(insert(A__questionmark_s_2, A__questionmark_x_1a)), A__questionmark_x_1a))), inference(resolution, [status(thm)], [c_73, c_149])).
% 16.34/4.92 tff(c_941, plain, (~$less(sup(s1), '#skE_11')), inference(superposition, [status(thm), theory('equality')], [c_904, c_173])).
% 16.34/4.92 tff(c_972, plain, (sup(s1)='#skE_12'), inference(define, [status(thm), theory('equality')], [c_941])).
% 16.34/4.92 tff(c_792, plain, (insert(s0, '#skE_11')=s1), inference(demodulation, [status(thm), theory('equality')], [c_782, c_781])).
% 16.34/4.92 tff(c_534, plain, (![A__questionmark_x_108a:$int, A__questionmark_s_109:Set, A__questionmark_y_110a:$int]: (member(A__questionmark_x_108a, insert(A__questionmark_s_109, A__questionmark_y_110a)) | ~member(A__questionmark_x_108a, A__questionmark_s_109) | A__questionmark_y_110a=A__questionmark_x_108a)), inference(cnfTransformation, [status(thm)], [f_37])).
% 16.34/4.92 tff(c_66, plain, (![A__questionmark_s_14:Set, A__questionmark_x_15a:$int]: (~$less(sup(A__questionmark_s_14), A__questionmark_x_15a) | ~member(A__questionmark_x_15a, A__questionmark_s_14))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_13])).
% 16.34/4.92 tff(c_18418, plain, (![A__questionmark_s_2168:Set, A__questionmark_y_2169a:$int, A__questionmark_x_2170a:$int]: (~$less(sup(insert(A__questionmark_s_2168, A__questionmark_y_2169a)), A__questionmark_x_2170a) | ~member(A__questionmark_x_2170a, A__questionmark_s_2168) | A__questionmark_y_2169a=A__questionmark_x_2170a)), inference(resolution, [status(thm)], [c_534, c_66])).
% 16.34/4.92 tff(c_18571, plain, (![A__questionmark_y_2185a:$int]: (~$less(sup(insert(s0, A__questionmark_y_2185a)), '#skE_2') | A__questionmark_y_2185a='#skE_2')), inference(resolution, [status(thm)], [c_113, c_18418])).
% 16.34/4.92 tff(c_18574, plain, (~$less(sup(s1), '#skE_2') | '#skE_2'='#skE_11'), inference(superposition, [status(thm), theory('equality')], [c_792, c_18571])).
% 16.34/4.92 tff(c_18581, plain, (~$less('#skE_12', '#skE_2') | '#skE_2'='#skE_11'), inference(demodulation, [status(thm), theory('equality')], [c_972, c_18574])).
% 16.34/4.92 tff(c_18620, plain, (~$less('#skE_12', '#skE_2')), inference(splitLeft, [status(thm)], [c_18581])).
% 16.34/4.92 tff(c_67, plain, (![A__questionmark_s_13:Set]: (member(sup(A__questionmark_s_13), A__questionmark_s_13))), inference(cnfTransformation, [status(thm)], [f_51])).
% 16.34/4.92 tff(c_984, plain, (member('#skE_12', s1)), inference(superposition, [status(thm), theory('equality')], [c_972, c_67])).
% 16.34/4.92 tff(c_57, plain, (insert(s1, select(arr, g(i2)))=s2), inference(cnfTransformation, [status(thm)], [f_74])).
% 16.34/4.92 tff(c_213, plain, (g(i2)='#skE_4'), inference(define, [status(thm), theory('equality')], [c_57])).
% 16.34/4.92 tff(c_79, plain, (insert(s1, select(arr, g(i2)))=s2), inference(cnfTransformation, [status(thm)], [f_74])).
% 16.34/4.92 tff(c_223, plain, (insert(s1, select(arr, '#skE_4'))=s2), inference(demodulation, [status(thm), theory('equality')], [c_213, c_79])).
% 16.34/4.92 tff(c_401, plain, (select(arr, '#skE_4')='#skE_7'), inference(define, [status(thm), theory('equality')], [c_223])).
% 16.34/4.92 tff(c_400, plain, (insert(s1, select(arr, '#skE_4'))=s2), inference(demodulation, [status(thm), theory('equality')], [c_213, c_79])).
% 16.34/4.92 tff(c_493, plain, (insert(s1, '#skE_7')=s2), inference(demodulation, [status(thm), theory('equality')], [c_401, c_400])).
% 16.34/4.92 tff(c_520, plain, (~$less(sup(s2), '#skE_7')), inference(superposition, [status(thm), theory('equality')], [c_493, c_173])).
% 16.34/4.92 tff(c_760, plain, (sup(s2)='#skE_10'), inference(define, [status(thm), theory('equality')], [c_520])).
% 16.34/4.92 tff(c_411, plain, (insert(s1, '#skE_7')=s2), inference(demodulation, [status(thm), theory('equality')], [c_401, c_400])).
% 16.34/4.92 tff(c_16509, plain, (![A__questionmark_x_1965a:$int]: (member(A__questionmark_x_1965a, s2) | ~member(A__questionmark_x_1965a, s1) | A__questionmark_x_1965a='#skE_7')), inference(superposition, [status(thm), theory('equality')], [c_411, c_534])).
% 16.34/4.92 tff(c_16515, plain, (![A__questionmark_x_1965a:$int]: (~$less(sup(s2), A__questionmark_x_1965a) | ~member(A__questionmark_x_1965a, s1) | A__questionmark_x_1965a='#skE_7')), inference(resolution, [status(thm)], [c_16509, c_66])).
% 16.34/4.92 tff(c_16672, plain, (![A__questionmark_x_1979a:$int]: (~$less('#skE_10', A__questionmark_x_1979a) | ~member(A__questionmark_x_1979a, s1) | A__questionmark_x_1979a='#skE_7')), inference(demodulation, [status(thm), theory('equality')], [c_760, c_16515])).
% 16.34/4.92 tff(c_16689, plain, (~$less('#skE_10', '#skE_12') | '#skE_7'='#skE_12'), inference(resolution, [status(thm)], [c_984, c_16672])).
% 16.34/4.92 tff(c_16712, plain, (~$less('#skE_10', '#skE_12')), inference(splitLeft, [status(thm)], [c_16689])).
% 16.34/4.92 tff(c_15241, plain, (![A__questionmark_s_1812:Set, A__questionmark_y_1813a:$int, A__questionmark_x_1814a:$int]: (~$less(sup(insert(A__questionmark_s_1812, A__questionmark_y_1813a)), A__questionmark_x_1814a) | ~member(A__questionmark_x_1814a, A__questionmark_s_1812) | A__questionmark_y_1813a=A__questionmark_x_1814a)), inference(resolution, [status(thm)], [c_534, c_66])).
% 16.34/4.92 tff(c_15930, plain, (![A__questionmark_y_1874a:$int]: (~$less(sup(insert(s0, A__questionmark_y_1874a)), '#skE_2') | A__questionmark_y_1874a='#skE_2')), inference(resolution, [status(thm)], [c_113, c_15241])).
% 16.34/4.92 tff(c_15933, plain, (~$less(sup(s1), '#skE_2') | '#skE_2'='#skE_11'), inference(superposition, [status(thm), theory('equality')], [c_792, c_15930])).
% 16.34/4.92 tff(c_15940, plain, (~$less('#skE_12', '#skE_2') | '#skE_2'='#skE_11'), inference(demodulation, [status(thm), theory('equality')], [c_972, c_15933])).
% 16.34/4.92 tff(c_15957, plain, (~$less('#skE_12', '#skE_2')), inference(splitLeft, [status(thm)], [c_15940])).
% 16.34/4.92 tff(c_7986, plain, (![A__questionmark_x_952a:$int]: (member(A__questionmark_x_952a, s2) | ~member(A__questionmark_x_952a, s1) | A__questionmark_x_952a='#skE_7')), inference(superposition, [status(thm), theory('equality')], [c_411, c_534])).
% 16.34/4.92 tff(c_7992, plain, (![A__questionmark_x_952a:$int]: (~$less(sup(s2), A__questionmark_x_952a) | ~member(A__questionmark_x_952a, s1) | A__questionmark_x_952a='#skE_7')), inference(resolution, [status(thm)], [c_7986, c_66])).
% 16.34/4.92 tff(c_15417, plain, (![A__questionmark_x_1835a:$int]: (~$less('#skE_10', A__questionmark_x_1835a) | ~member(A__questionmark_x_1835a, s1) | A__questionmark_x_1835a='#skE_7')), inference(demodulation, [status(thm), theory('equality')], [c_760, c_7992])).
% 16.34/4.92 tff(c_15455, plain, (~$less('#skE_10', '#skE_12') | '#skE_7'='#skE_12'), inference(resolution, [status(thm)], [c_984, c_15417])).
% 16.34/4.92 tff(c_15509, plain, (~$less('#skE_10', '#skE_12')), inference(splitLeft, [status(thm)], [c_15455])).
% 16.34/4.92 tff(c_83, plain, (sup(s0)='#skE_2'), inference(define, [status(thm), theory('equality')], [c_45])).
% 16.34/4.92 tff(c_82, plain, (sup(s3)='#skE_1'), inference(define, [status(thm), theory('equality')], [c_45])).
% 16.34/4.92 tff(c_88, plain, ('#skE_2'!='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_83, c_82, c_45])).
% 16.34/4.92 tff(c_947, plain, (member('#skE_11', s1)), inference(superposition, [status(thm), theory('equality')], [c_904, c_73])).
% 16.34/4.92 tff(c_10378, plain, (![A__questionmark_s_1214:Set, A__questionmark_y_1215a:$int, A__questionmark_x_1216a:$int]: (~$less(sup(insert(A__questionmark_s_1214, A__questionmark_y_1215a)), A__questionmark_x_1216a) | ~member(A__questionmark_x_1216a, A__questionmark_s_1214) | A__questionmark_y_1215a=A__questionmark_x_1216a)), inference(resolution, [status(thm)], [c_534, c_66])).
% 16.34/4.92 tff(c_10514, plain, (![A__questionmark_y_1230a:$int]: (~$less(sup(insert(s0, A__questionmark_y_1230a)), '#skE_2') | A__questionmark_y_1230a='#skE_2')), inference(resolution, [status(thm)], [c_113, c_10378])).
% 16.34/4.92 tff(c_10517, plain, (~$less(sup(s1), '#skE_2') | '#skE_2'='#skE_11'), inference(superposition, [status(thm), theory('equality')], [c_792, c_10514])).
% 16.34/4.92 tff(c_10524, plain, (~$less('#skE_12', '#skE_2') | '#skE_2'='#skE_11'), inference(demodulation, [status(thm), theory('equality')], [c_972, c_10517])).
% 16.34/4.92 tff(c_10529, plain, (~$less('#skE_12', '#skE_2')), inference(splitLeft, [status(thm)], [c_10524])).
% 16.34/4.92 tff(c_9640, plain, (![A__questionmark_x_1131a:$int]: (~$less('#skE_10', A__questionmark_x_1131a) | ~member(A__questionmark_x_1131a, s1) | A__questionmark_x_1131a='#skE_7')), inference(demodulation, [status(thm), theory('equality')], [c_760, c_7992])).
% 16.34/4.92 tff(c_9668, plain, (~$less('#skE_10', '#skE_12') | '#skE_7'='#skE_12'), inference(resolution, [status(thm)], [c_984, c_9640])).
% 16.34/4.92 tff(c_9674, plain, (~$less('#skE_10', '#skE_12')), inference(splitLeft, [status(thm)], [c_9668])).
% 16.34/4.92 tff(c_772, plain, (member('#skE_10', s2)), inference(superposition, [status(thm), theory('equality')], [c_760, c_67])).
% 16.34/4.92 tff(c_86, plain, (sup(s3)='#skE_1'), inference(define, [status(thm), theory('equality')], [c_45])).
% 16.34/4.92 tff(c_116, plain, (member('#skE_1', s3)), inference(superposition, [status(thm), theory('equality')], [c_86, c_102])).
% 16.34/4.92 tff(c_53, plain, (insert(s2, select(arr, g(i3)))=s3), inference(cnfTransformation, [status(thm)], [f_75])).
% 16.34/4.92 tff(c_439, plain, (g(i3)='#skE_8'), inference(define, [status(thm), theory('equality')], [c_53])).
% 16.34/4.92 tff(c_77, plain, (insert(s2, select(arr, g(i3)))=s3), inference(cnfTransformation, [status(thm)], [f_75])).
% 16.34/4.92 tff(c_449, plain, (insert(s2, select(arr, '#skE_8'))=s3), inference(demodulation, [status(thm), theory('equality')], [c_439, c_77])).
% 16.34/4.92 tff(c_564, plain, (select(arr, '#skE_8')='#skE_9'), inference(define, [status(thm), theory('equality')], [c_449])).
% 16.34/4.92 tff(c_563, plain, (insert(s2, select(arr, '#skE_8'))=s3), inference(demodulation, [status(thm), theory('equality')], [c_439, c_77])).
% 16.34/4.92 tff(c_644, plain, (insert(s2, '#skE_9')=s3), inference(demodulation, [status(thm), theory('equality')], [c_564, c_563])).
% 16.34/4.92 tff(c_71, plain, (![A__questionmark_x_3a:$int, A__questionmark_s_5:Set, A__questionmark_y_4a:$int]: (member(A__questionmark_x_3a, A__questionmark_s_5) | ~member(A__questionmark_x_3a, insert(A__questionmark_s_5, A__questionmark_y_4a)) | A__questionmark_y_4a=A__questionmark_x_3a)), inference(cnfTransformation, [status(thm)], [f_37])).
% 16.34/4.92 tff(c_7998, plain, (![A__questionmark_x_953a:$int]: (member(A__questionmark_x_953a, s2) | ~member(A__questionmark_x_953a, s3) | A__questionmark_x_953a='#skE_9')), inference(superposition, [status(thm), theory('equality')], [c_644, c_71])).
% 16.34/4.92 tff(c_8027, plain, (member('#skE_1', s2) | '#skE_9'='#skE_1'), inference(resolution, [status(thm)], [c_116, c_7998])).
% 16.34/4.92 tff(c_8031, plain, ('#skE_9'='#skE_1'), inference(splitLeft, [status(thm)], [c_8027])).
% 16.34/4.92 tff(c_72, plain, (![A__questionmark_x_3a:$int, A__questionmark_s_5:Set, A__questionmark_y_4a:$int]: (member(A__questionmark_x_3a, insert(A__questionmark_s_5, A__questionmark_y_4a)) | ~member(A__questionmark_x_3a, A__questionmark_s_5) | A__questionmark_y_4a=A__questionmark_x_3a)), inference(cnfTransformation, [status(thm)], [f_37])).
% 16.34/4.92 tff(c_7979, plain, (![A__questionmark_x_951a:$int]: (member(A__questionmark_x_951a, s3) | ~member(A__questionmark_x_951a, s2) | A__questionmark_x_951a='#skE_9')), inference(superposition, [status(thm), theory('equality')], [c_644, c_72])).
% 16.34/4.92 tff(c_7982, plain, (![A__questionmark_x_951a:$int]: (~$less(sup(s3), A__questionmark_x_951a) | ~member(A__questionmark_x_951a, s2) | A__questionmark_x_951a='#skE_9')), inference(resolution, [status(thm)], [c_7979, c_66])).
% 16.34/4.92 tff(c_7985, plain, (![A__questionmark_x_951a:$int]: (~$less('#skE_1', A__questionmark_x_951a) | ~member(A__questionmark_x_951a, s2) | A__questionmark_x_951a='#skE_9')), inference(demodulation, [status(thm), theory('equality')], [c_86, c_7982])).
% 16.34/4.92 tff(c_8365, plain, (![A__questionmark_x_992a:$int]: (~$less('#skE_1', A__questionmark_x_992a) | ~member(A__questionmark_x_992a, s2) | A__questionmark_x_992a='#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_8031, c_7985])).
% 16.34/4.92 tff(c_8382, plain, (~$less('#skE_1', '#skE_10') | '#skE_10'='#skE_1'), inference(resolution, [status(thm)], [c_772, c_8365])).
% 16.34/4.92 tff(c_8390, plain, (~$less('#skE_1', '#skE_10')), inference(splitLeft, [status(thm)], [c_8382])).
% 16.34/4.92 tff(c_454, plain, (g(i3)='#skE_8'), inference(define, [status(thm), theory('equality')], [c_53])).
% 16.34/4.92 tff(c_20, plain, (![A__questionmark_i_19a:$int]: ($greater(g(A__questionmark_i_19a), 0))), inference(cnfTransformation, [status(thm)], [f_65])).
% 16.34/4.92 tff(c_63, plain, (![A__questionmark_i_19a:$int]: ($less(0, g(A__questionmark_i_19a)))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_20])).
% 16.34/4.92 tff(c_483, plain, ($less(0, '#skE_8')), inference(superposition, [status(thm), theory('equality')], [c_454, c_63])).
% 16.34/4.92 tff(c_571, plain, (select(arr, '#skE_8')='#skE_9'), inference(define, [status(thm), theory('equality')], [c_449])).
% 16.34/4.92 tff(c_17, plain, (![A__questionmark_i_18a:$int]: ($less(select(arr, A__questionmark_i_18a), sup(s0)) | ~$greater(A__questionmark_i_18a, 0))), inference(cnfTransformation, [status(thm)], [f_63])).
% 16.34/4.92 tff(c_64, plain, (![A__questionmark_i_18a:$int]: ($less(select(arr, A__questionmark_i_18a), sup(s0)) | ~$less(0, A__questionmark_i_18a))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_17])).
% 16.34/4.92 tff(c_700, plain, (![A__questionmark_i_129a:$int]: ($less(select(arr, A__questionmark_i_129a), '#skE_2') | ~$less(0, A__questionmark_i_129a))), inference(demodulation, [status(thm), theory('equality')], [c_87, c_64])).
% 16.34/4.92 tff(c_703, plain, ($less('#skE_9', '#skE_2') | ~$less(0, '#skE_8')), inference(superposition, [status(thm), theory('equality')], [c_571, c_700])).
% 16.34/4.92 tff(c_713, plain, ($less('#skE_9', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_483, c_703])).
% 16.34/4.92 tff(c_8063, plain, ($less('#skE_1', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_8031, c_713])).
% 16.34/4.92 tff(c_10564, plain, $false, inference(close, [status(thm), theory('LIA')], [c_10529, c_9674, c_8390, c_8063])).
% 16.34/4.92 tff(c_10567, plain, ('#skE_2'='#skE_11'), inference(splitRight, [status(thm)], [c_10524])).
% 16.34/4.92 tff(c_848, plain, (select(arr, i1)='#skE_11'), inference(define, [status(thm), theory('equality')], [c_780])).
% 16.34/4.92 tff(c_698, plain, (![A__questionmark_i_18a:$int]: ($less(select(arr, A__questionmark_i_18a), '#skE_2') | ~$less(0, A__questionmark_i_18a))), inference(demodulation, [status(thm), theory('equality')], [c_87, c_64])).
% 16.34/4.92 tff(c_854, plain, ($less('#skE_11', '#skE_2') | ~$less(0, i1)), inference(superposition, [status(thm), theory('equality')], [c_848, c_698])).
% 16.34/4.92 tff(c_882, plain, ($less('#skE_11', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_130, c_854])).
% 16.34/4.92 tff(c_10581, plain, ($less('#skE_11', '#skE_11')), inference(demodulation, [status(thm), theory('equality')], [c_10567, c_882])).
% 16.34/4.92 tff(c_10607, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_10581])).
% 16.34/4.92 tff(c_10610, plain, ('#skE_7'='#skE_12'), inference(splitRight, [status(thm)], [c_9668])).
% 16.34/4.92 tff(c_526, plain, (member('#skE_7', s2)), inference(superposition, [status(thm), theory('equality')], [c_493, c_73])).
% 16.34/4.92 tff(c_8384, plain, (~$less('#skE_1', '#skE_7') | '#skE_7'='#skE_1'), inference(resolution, [status(thm)], [c_526, c_8365])).
% 16.34/4.92 tff(c_8388, plain, (~$less('#skE_1', '#skE_7')), inference(splitLeft, [status(thm)], [c_8384])).
% 16.34/4.92 tff(c_10649, plain, (~$less('#skE_1', '#skE_12')), inference(demodulation, [status(thm), theory('equality')], [c_10610, c_8388])).
% 16.34/4.92 tff(c_612, plain, (![A__questionmark_x_118a:$int, A__questionmark_s_119:Set, A__questionmark_y_120a:$int]: (member(A__questionmark_x_118a, A__questionmark_s_119) | ~member(A__questionmark_x_118a, insert(A__questionmark_s_119, A__questionmark_y_120a)) | A__questionmark_y_120a=A__questionmark_x_118a)), inference(cnfTransformation, [status(thm)], [f_37])).
% 16.34/4.92 tff(c_1006, plain, (![A__questionmark_x_162a:$int]: (member(A__questionmark_x_162a, s1) | ~member(A__questionmark_x_162a, s2) | A__questionmark_x_162a='#skE_7')), inference(superposition, [status(thm), theory('equality')], [c_411, c_612])).
% 16.34/4.92 tff(c_1019, plain, (member('#skE_10', s1) | '#skE_7'='#skE_10'), inference(resolution, [status(thm)], [c_772, c_1006])).
% 16.34/4.92 tff(c_8421, plain, ('#skE_7'='#skE_10'), inference(splitLeft, [status(thm)], [c_1019])).
% 16.34/4.92 tff(c_7997, plain, (![A__questionmark_x_952a:$int]: (~$less('#skE_10', A__questionmark_x_952a) | ~member(A__questionmark_x_952a, s1) | A__questionmark_x_952a='#skE_7')), inference(demodulation, [status(thm), theory('equality')], [c_760, c_7992])).
% 16.34/4.92 tff(c_8672, plain, (![A__questionmark_x_1027a:$int]: (~$less('#skE_10', A__questionmark_x_1027a) | ~member(A__questionmark_x_1027a, s1) | A__questionmark_x_1027a='#skE_10')), inference(demodulation, [status(thm), theory('equality')], [c_8421, c_7997])).
% 16.34/4.92 tff(c_8696, plain, (~$less('#skE_10', '#skE_11') | '#skE_11'='#skE_10'), inference(resolution, [status(thm)], [c_947, c_8672])).
% 16.34/4.92 tff(c_8991, plain, (~$less('#skE_10', '#skE_11')), inference(splitLeft, [status(thm)], [c_8696])).
% 16.34/4.92 tff(c_9048, plain, (![A__questionmark_s_1054:Set, A__questionmark_y_1055a:$int, A__questionmark_x_1056a:$int]: (~$less(sup(insert(A__questionmark_s_1054, A__questionmark_y_1055a)), A__questionmark_x_1056a) | ~member(A__questionmark_x_1056a, A__questionmark_s_1054) | A__questionmark_y_1055a=A__questionmark_x_1056a)), inference(resolution, [status(thm)], [c_534, c_66])).
% 16.34/4.92 tff(c_9270, plain, (![A__questionmark_y_1085a:$int]: (~$less(sup(insert(s0, A__questionmark_y_1085a)), '#skE_2') | A__questionmark_y_1085a='#skE_2')), inference(resolution, [status(thm)], [c_113, c_9048])).
% 16.34/4.92 tff(c_9273, plain, (~$less(sup(s1), '#skE_2') | '#skE_2'='#skE_11'), inference(superposition, [status(thm), theory('equality')], [c_792, c_9270])).
% 16.34/4.92 tff(c_9280, plain, (~$less('#skE_12', '#skE_2') | '#skE_2'='#skE_11'), inference(demodulation, [status(thm), theory('equality')], [c_972, c_9273])).
% 16.34/4.92 tff(c_9317, plain, (~$less('#skE_12', '#skE_2')), inference(splitLeft, [status(thm)], [c_9280])).
% 16.34/4.92 tff(c_8694, plain, (~$less('#skE_10', '#skE_12') | '#skE_12'='#skE_10'), inference(resolution, [status(thm)], [c_984, c_8672])).
% 16.34/4.92 tff(c_8943, plain, (~$less('#skE_10', '#skE_12')), inference(splitLeft, [status(thm)], [c_8694])).
% 16.34/4.92 tff(c_9318, plain, $false, inference(close, [status(thm), theory('LIA')], [c_9317, c_8943, c_8390, c_8063])).
% 16.34/4.92 tff(c_9321, plain, ('#skE_2'='#skE_11'), inference(splitRight, [status(thm)], [c_9280])).
% 16.34/4.92 tff(c_245, plain, (g(i2)='#skE_4'), inference(define, [status(thm), theory('equality')], [c_57])).
% 16.34/4.92 tff(c_266, plain, ($less(0, '#skE_4')), inference(superposition, [status(thm), theory('equality')], [c_245, c_63])).
% 16.34/4.92 tff(c_408, plain, (select(arr, '#skE_4')='#skE_7'), inference(define, [status(thm), theory('equality')], [c_223])).
% 16.34/4.92 tff(c_706, plain, ($less('#skE_7', '#skE_2') | ~$less(0, '#skE_4')), inference(superposition, [status(thm), theory('equality')], [c_408, c_700])).
% 16.34/4.92 tff(c_717, plain, ($less('#skE_7', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_266, c_706])).
% 16.34/4.92 tff(c_8453, plain, ($less('#skE_10', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_8421, c_717])).
% 16.34/4.92 tff(c_9329, plain, ($less('#skE_10', '#skE_11')), inference(demodulation, [status(thm), theory('equality')], [c_9321, c_8453])).
% 16.34/4.92 tff(c_9358, plain, $false, inference(negUnitSimplification, [status(thm)], [c_8991, c_9329])).
% 16.34/4.92 tff(c_9361, plain, ('#skE_11'='#skE_10'), inference(splitRight, [status(thm)], [c_8696])).
% 16.34/4.92 tff(c_9362, plain, ($less('#skE_10', '#skE_11')), inference(splitRight, [status(thm)], [c_8696])).
% 16.34/4.92 tff(c_9457, plain, ($less('#skE_10', '#skE_10')), inference(demodulation, [status(thm), theory('equality')], [c_9361, c_9362])).
% 16.34/4.92 tff(c_9459, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_9457])).
% 16.34/4.92 tff(c_9462, plain, ('#skE_12'='#skE_10'), inference(splitRight, [status(thm)], [c_8694])).
% 16.34/4.92 tff(c_9463, plain, ($less('#skE_10', '#skE_12')), inference(splitRight, [status(thm)], [c_8694])).
% 16.34/4.92 tff(c_9604, plain, ($less('#skE_10', '#skE_10')), inference(demodulation, [status(thm), theory('equality')], [c_9462, c_9463])).
% 16.34/4.92 tff(c_9606, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_9604])).
% 16.34/4.92 tff(c_9612, plain, ('#skE_7'!='#skE_10'), inference(splitRight, [status(thm)], [c_1019])).
% 16.34/4.92 tff(c_10648, plain, ('#skE_12'!='#skE_10'), inference(demodulation, [status(thm), theory('equality')], [c_10610, c_9612])).
% 16.34/4.92 tff(c_9627, plain, (member('#skE_10', s1)), inference(splitRight, [status(thm)], [c_1019])).
% 16.34/4.92 tff(c_9633, plain, (~$less(sup(s1), '#skE_10')), inference(resolution, [status(thm)], [c_9627, c_66])).
% 16.34/4.92 tff(c_9639, plain, (~$less('#skE_12', '#skE_10')), inference(demodulation, [status(thm), theory('equality')], [c_972, c_9633])).
% 16.34/4.92 tff(c_65, plain, (![A__questionmark_s_16:Set, A__questionmark_x_17a:$int]: (sup(insert(A__questionmark_s_16, A__questionmark_x_17a))=A__questionmark_x_17a | ~$less(sup(A__questionmark_s_16), A__questionmark_x_17a))), inference(cnfTransformation, [status(thm)], [f_59])).
% 16.34/4.92 tff(c_656, plain, (sup(s3)='#skE_9' | ~$less(sup(s2), '#skE_9')), inference(superposition, [status(thm), theory('equality')], [c_644, c_65])).
% 16.34/4.92 tff(c_681, plain, ('#skE_9'='#skE_1' | ~$less(sup(s2), '#skE_9')), inference(demodulation, [status(thm), theory('equality')], [c_86, c_656])).
% 16.34/4.92 tff(c_1027, plain, ('#skE_9'='#skE_1' | ~$less('#skE_10', '#skE_9')), inference(demodulation, [status(thm), theory('equality')], [c_760, c_681])).
% 16.34/4.92 tff(c_1029, plain, (~$less('#skE_10', '#skE_9')), inference(splitLeft, [status(thm)], [c_1027])).
% 16.34/4.92 tff(c_8060, plain, (~$less('#skE_10', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_8031, c_1029])).
% 16.34/4.92 tff(c_10695, plain, $false, inference(close, [status(thm), theory('LIA')], [c_10649, c_10648, c_9639, c_8060])).
% 16.34/4.92 tff(c_10698, plain, ('#skE_10'='#skE_1'), inference(splitRight, [status(thm)], [c_8382])).
% 16.34/4.92 tff(c_10699, plain, ($less('#skE_1', '#skE_10')), inference(splitRight, [status(thm)], [c_8382])).
% 16.34/4.92 tff(c_10751, plain, ($less('#skE_1', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_10698, c_10699])).
% 16.34/4.92 tff(c_10753, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_10751])).
% 16.34/4.92 tff(c_10756, plain, ('#skE_7'='#skE_1'), inference(splitRight, [status(thm)], [c_8384])).
% 16.34/4.92 tff(c_10757, plain, ($less('#skE_1', '#skE_7')), inference(splitRight, [status(thm)], [c_8384])).
% 16.34/4.92 tff(c_10796, plain, ($less('#skE_1', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_10756, c_10757])).
% 16.34/4.92 tff(c_10798, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_10796])).
% 16.34/4.92 tff(c_10807, plain, (member('#skE_1', s2)), inference(splitRight, [status(thm)], [c_8027])).
% 16.34/4.92 tff(c_632, plain, (![A__questionmark_x_118a:$int]: (member(A__questionmark_x_118a, s1) | ~member(A__questionmark_x_118a, s2) | A__questionmark_x_118a='#skE_7')), inference(superposition, [status(thm), theory('equality')], [c_411, c_612])).
% 16.34/4.92 tff(c_10816, plain, (member('#skE_1', s1) | '#skE_7'='#skE_1'), inference(resolution, [status(thm)], [c_10807, c_632])).
% 16.34/4.92 tff(c_11409, plain, ('#skE_7'='#skE_1'), inference(splitLeft, [status(thm)], [c_10816])).
% 16.34/4.92 tff(c_11899, plain, (member('#skE_10', s1) | '#skE_10'='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_11409, c_1019])).
% 16.34/4.92 tff(c_11902, plain, ('#skE_10'='#skE_1'), inference(splitLeft, [status(thm)], [c_11899])).
% 16.34/4.92 tff(c_11988, plain, (![A__questionmark_x_1419a:$int]: (~$less('#skE_1', A__questionmark_x_1419a) | ~member(A__questionmark_x_1419a, s1) | A__questionmark_x_1419a='#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_11409, c_11902, c_7997])).
% 16.34/4.92 tff(c_12012, plain, (~$less('#skE_1', '#skE_11') | '#skE_11'='#skE_1'), inference(resolution, [status(thm)], [c_947, c_11988])).
% 16.34/4.92 tff(c_12063, plain, (~$less('#skE_1', '#skE_11')), inference(splitLeft, [status(thm)], [c_12012])).
% 16.34/4.92 tff(c_12280, plain, (![A__questionmark_s_1437:Set, A__questionmark_y_1438a:$int, A__questionmark_x_1439a:$int]: (~$less(sup(insert(A__questionmark_s_1437, A__questionmark_y_1438a)), A__questionmark_x_1439a) | ~member(A__questionmark_x_1439a, A__questionmark_s_1437) | A__questionmark_y_1438a=A__questionmark_x_1439a)), inference(resolution, [status(thm)], [c_534, c_66])).
% 16.34/4.92 tff(c_12591, plain, (![A__questionmark_y_1473a:$int]: (~$less(sup(insert(s0, A__questionmark_y_1473a)), '#skE_2') | A__questionmark_y_1473a='#skE_2')), inference(resolution, [status(thm)], [c_113, c_12280])).
% 16.34/4.92 tff(c_12594, plain, (~$less(sup(s1), '#skE_2') | '#skE_2'='#skE_11'), inference(superposition, [status(thm), theory('equality')], [c_792, c_12591])).
% 16.34/4.92 tff(c_12601, plain, (~$less('#skE_12', '#skE_2') | '#skE_2'='#skE_11'), inference(demodulation, [status(thm), theory('equality')], [c_972, c_12594])).
% 16.34/4.92 tff(c_12606, plain, (~$less('#skE_12', '#skE_2')), inference(splitLeft, [status(thm)], [c_12601])).
% 16.34/4.92 tff(c_12010, plain, (~$less('#skE_1', '#skE_12') | '#skE_12'='#skE_1'), inference(resolution, [status(thm)], [c_984, c_11988])).
% 16.34/4.92 tff(c_12060, plain, (~$less('#skE_1', '#skE_12')), inference(splitLeft, [status(thm)], [c_12010])).
% 16.34/4.92 tff(c_11438, plain, ($less('#skE_1', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_11409, c_717])).
% 16.34/4.92 tff(c_12607, plain, $false, inference(close, [status(thm), theory('LIA')], [c_12606, c_12060, c_11438])).
% 16.34/4.92 tff(c_12610, plain, ('#skE_2'='#skE_11'), inference(splitRight, [status(thm)], [c_12601])).
% 16.34/4.92 tff(c_12656, plain, ($less('#skE_1', '#skE_11')), inference(demodulation, [status(thm), theory('equality')], [c_12610, c_11438])).
% 16.34/4.92 tff(c_12685, plain, $false, inference(negUnitSimplification, [status(thm)], [c_12063, c_12656])).
% 16.34/4.92 tff(c_12688, plain, ('#skE_11'='#skE_1'), inference(splitRight, [status(thm)], [c_12012])).
% 16.34/4.92 tff(c_12689, plain, ($less('#skE_1', '#skE_11')), inference(splitRight, [status(thm)], [c_12012])).
% 16.34/4.92 tff(c_12728, plain, ($less('#skE_1', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_12688, c_12689])).
% 16.34/4.92 tff(c_12730, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_12728])).
% 16.34/4.92 tff(c_12733, plain, ('#skE_12'='#skE_1'), inference(splitRight, [status(thm)], [c_12010])).
% 16.34/4.92 tff(c_12734, plain, ($less('#skE_1', '#skE_12')), inference(splitRight, [status(thm)], [c_12010])).
% 16.34/4.92 tff(c_12875, plain, ($less('#skE_1', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_12733, c_12734])).
% 16.34/4.92 tff(c_12877, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_12875])).
% 16.34/4.92 tff(c_12883, plain, ('#skE_10'!='#skE_1'), inference(splitRight, [status(thm)], [c_11899])).
% 16.34/4.92 tff(c_11763, plain, (![A__questionmark_x_1396a:$int]: (~$less('#skE_1', A__questionmark_x_1396a) | ~member(A__questionmark_x_1396a, s2) | A__questionmark_x_1396a='#skE_9')), inference(demodulation, [status(thm), theory('equality')], [c_86, c_7982])).
% 16.34/4.92 tff(c_11778, plain, (~$less('#skE_1', '#skE_10') | '#skE_9'='#skE_10'), inference(resolution, [status(thm)], [c_772, c_11763])).
% 16.34/4.92 tff(c_11782, plain, (~$less('#skE_1', '#skE_10')), inference(splitLeft, [status(thm)], [c_11778])).
% 16.34/4.92 tff(c_10813, plain, (~$less(sup(s2), '#skE_1')), inference(resolution, [status(thm)], [c_10807, c_66])).
% 16.34/4.92 tff(c_10819, plain, (~$less('#skE_10', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_760, c_10813])).
% 16.34/4.92 tff(c_12901, plain, $false, inference(close, [status(thm), theory('LIA')], [c_12883, c_11782, c_10819])).
% 16.34/4.92 tff(c_12905, plain, ($less('#skE_1', '#skE_10')), inference(splitRight, [status(thm)], [c_11778])).
% 16.34/4.92 tff(c_12904, plain, ('#skE_9'='#skE_10'), inference(splitRight, [status(thm)], [c_11778])).
% 16.34/4.92 tff(c_659, plain, (~$less(sup(s3), '#skE_9')), inference(superposition, [status(thm), theory('equality')], [c_644, c_173])).
% 16.34/4.92 tff(c_684, plain, (~$less('#skE_1', '#skE_9')), inference(demodulation, [status(thm), theory('equality')], [c_86, c_659])).
% 16.34/4.92 tff(c_12951, plain, (~$less('#skE_1', '#skE_10')), inference(demodulation, [status(thm), theory('equality')], [c_12904, c_684])).
% 16.34/4.92 tff(c_12960, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_12905, c_12951])).
% 16.34/4.92 tff(c_12965, plain, (member('#skE_1', s1)), inference(splitRight, [status(thm)], [c_10816])).
% 16.34/4.92 tff(c_13425, plain, (![A__questionmark_x_1595a:$int]: (member(A__questionmark_x_1595a, s0) | ~member(A__questionmark_x_1595a, s1) | A__questionmark_x_1595a='#skE_11')), inference(superposition, [status(thm), theory('equality')], [c_904, c_71])).
% 16.34/4.92 tff(c_13452, plain, (member('#skE_1', s0) | '#skE_11'='#skE_1'), inference(resolution, [status(thm)], [c_12965, c_13425])).
% 16.34/4.92 tff(c_13583, plain, ('#skE_11'='#skE_1'), inference(splitLeft, [status(thm)], [c_13452])).
% 16.34/4.92 tff(c_935, plain, (![A__questionmark_x_3a:$int]: (member(A__questionmark_x_3a, s1) | ~member(A__questionmark_x_3a, s0) | A__questionmark_x_3a='#skE_11')), inference(superposition, [status(thm), theory('equality')], [c_904, c_72])).
% 16.34/4.92 tff(c_14030, plain, (![A__questionmark_x_1662a:$int]: (member(A__questionmark_x_1662a, s1) | ~member(A__questionmark_x_1662a, s0) | A__questionmark_x_1662a='#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_13583, c_935])).
% 16.34/4.92 tff(c_14039, plain, (![A__questionmark_x_1662a:$int]: (~$less(sup(s1), A__questionmark_x_1662a) | ~member(A__questionmark_x_1662a, s0) | A__questionmark_x_1662a='#skE_1')), inference(resolution, [status(thm)], [c_14030, c_66])).
% 16.34/4.92 tff(c_14687, plain, (![A__questionmark_x_1728a:$int]: (~$less('#skE_12', A__questionmark_x_1728a) | ~member(A__questionmark_x_1728a, s0) | A__questionmark_x_1728a='#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_972, c_14039])).
% 16.34/4.92 tff(c_14704, plain, (~$less('#skE_12', '#skE_2') | '#skE_2'='#skE_1'), inference(resolution, [status(thm)], [c_113, c_14687])).
% 16.34/4.92 tff(c_14706, plain, (~$less('#skE_12', '#skE_2')), inference(negUnitSimplification, [status(thm)], [c_88, c_14704])).
% 16.34/4.92 tff(c_14196, plain, (![A__questionmark_x_1684a:$int]: (~$less('#skE_10', A__questionmark_x_1684a) | ~member(A__questionmark_x_1684a, s1) | A__questionmark_x_1684a='#skE_7')), inference(demodulation, [status(thm), theory('equality')], [c_760, c_7992])).
% 16.34/4.92 tff(c_14220, plain, (~$less('#skE_10', '#skE_12') | '#skE_7'='#skE_12'), inference(resolution, [status(thm)], [c_984, c_14196])).
% 16.34/4.92 tff(c_14265, plain, (~$less('#skE_10', '#skE_12')), inference(splitLeft, [status(thm)], [c_14220])).
% 16.34/4.92 tff(c_916, plain, (sup(s1)='#skE_11' | ~$less(sup(s0), '#skE_11')), inference(superposition, [status(thm), theory('equality')], [c_904, c_65])).
% 16.34/4.92 tff(c_938, plain, (sup(s1)='#skE_11' | ~$less('#skE_2', '#skE_11')), inference(demodulation, [status(thm), theory('equality')], [c_87, c_916])).
% 16.34/4.92 tff(c_10821, plain, ('#skE_12'='#skE_11' | ~$less('#skE_2', '#skE_11')), inference(demodulation, [status(thm), theory('equality')], [c_972, c_938])).
% 16.34/4.92 tff(c_10823, plain, (~$less('#skE_2', '#skE_11')), inference(splitLeft, [status(thm)], [c_10821])).
% 16.34/4.92 tff(c_13643, plain, (~$less('#skE_2', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_13583, c_10823])).
% 16.34/4.92 tff(c_13525, plain, (![A__questionmark_x_1606a:$int]: (~$less('#skE_1', A__questionmark_x_1606a) | ~member(A__questionmark_x_1606a, s2) | A__questionmark_x_1606a='#skE_9')), inference(demodulation, [status(thm), theory('equality')], [c_86, c_7982])).
% 16.34/4.92 tff(c_13553, plain, (~$less('#skE_1', '#skE_10') | '#skE_9'='#skE_10'), inference(resolution, [status(thm)], [c_772, c_13525])).
% 16.34/4.92 tff(c_13579, plain, (~$less('#skE_1', '#skE_10')), inference(splitLeft, [status(thm)], [c_13553])).
% 16.34/4.92 tff(c_14707, plain, $false, inference(close, [status(thm), theory('LIA')], [c_14706, c_14265, c_13643, c_13579, c_88])).
% 16.34/4.92 tff(c_14710, plain, ('#skE_7'='#skE_12'), inference(splitRight, [status(thm)], [c_14220])).
% 16.34/4.92 tff(c_13555, plain, (~$less('#skE_1', '#skE_7') | '#skE_9'='#skE_7'), inference(resolution, [status(thm)], [c_526, c_13525])).
% 16.34/4.92 tff(c_13559, plain, (~$less('#skE_1', '#skE_7')), inference(splitLeft, [status(thm)], [c_13555])).
% 16.34/4.92 tff(c_14756, plain, (~$less('#skE_1', '#skE_12')), inference(demodulation, [status(thm), theory('equality')], [c_14710, c_13559])).
% 16.34/4.92 tff(c_12966, plain, ('#skE_7'!='#skE_1'), inference(splitRight, [status(thm)], [c_10816])).
% 16.34/4.92 tff(c_14757, plain, ('#skE_12'!='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_14710, c_12966])).
% 16.34/4.92 tff(c_13014, plain, (member('#skE_1', s1)), inference(splitRight, [status(thm)], [c_10816])).
% 16.34/4.92 tff(c_13017, plain, (~$less(sup(s1), '#skE_1')), inference(resolution, [status(thm)], [c_13014, c_66])).
% 16.34/4.92 tff(c_13020, plain, (~$less('#skE_12', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_972, c_13017])).
% 16.34/4.92 tff(c_14819, plain, $false, inference(close, [status(thm), theory('LIA')], [c_14756, c_14757, c_13020])).
% 16.34/4.92 tff(c_14828, plain, (member('#skE_1', s0)), inference(splitRight, [status(thm)], [c_13452])).
% 16.34/4.92 tff(c_14831, plain, (~$less(sup(s0), '#skE_1')), inference(resolution, [status(thm)], [c_14828, c_66])).
% 16.34/4.92 tff(c_14834, plain, (~$less('#skE_2', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_87, c_14831])).
% 16.34/4.92 tff(c_15958, plain, $false, inference(close, [status(thm), theory('LIA')], [c_15957, c_15509, c_14834, c_13579, c_88])).
% 16.34/4.92 tff(c_15961, plain, ('#skE_2'='#skE_11'), inference(splitRight, [status(thm)], [c_15940])).
% 16.34/4.92 tff(c_15975, plain, ($less('#skE_11', '#skE_11')), inference(demodulation, [status(thm), theory('equality')], [c_15961, c_882])).
% 16.34/4.92 tff(c_16003, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_15975])).
% 16.34/4.92 tff(c_16006, plain, ('#skE_7'='#skE_12'), inference(splitRight, [status(thm)], [c_15455])).
% 16.34/4.92 tff(c_16065, plain, (~$less('#skE_1', '#skE_12')), inference(demodulation, [status(thm), theory('equality')], [c_16006, c_13559])).
% 16.34/4.92 tff(c_16067, plain, ('#skE_12'!='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_16006, c_12966])).
% 16.34/4.92 tff(c_16113, plain, $false, inference(close, [status(thm), theory('LIA')], [c_16065, c_16067, c_13020])).
% 16.34/4.92 tff(c_16117, plain, ($less('#skE_1', '#skE_10')), inference(splitRight, [status(thm)], [c_13553])).
% 16.34/4.92 tff(c_16116, plain, ('#skE_9'='#skE_10'), inference(splitRight, [status(thm)], [c_13553])).
% 16.34/4.92 tff(c_16169, plain, (~$less('#skE_1', '#skE_10')), inference(demodulation, [status(thm), theory('equality')], [c_16116, c_684])).
% 16.34/4.92 tff(c_16192, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_16117, c_16169])).
% 16.34/4.92 tff(c_16196, plain, ($less('#skE_1', '#skE_7')), inference(splitRight, [status(thm)], [c_13555])).
% 16.34/4.92 tff(c_16195, plain, ('#skE_9'='#skE_7'), inference(splitRight, [status(thm)], [c_13555])).
% 16.34/4.92 tff(c_16277, plain, (~$less('#skE_1', '#skE_7')), inference(demodulation, [status(thm), theory('equality')], [c_16195, c_684])).
% 16.34/4.92 tff(c_16286, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_16196, c_16277])).
% 16.34/4.92 tff(c_16290, plain, ($less('#skE_2', '#skE_11')), inference(splitRight, [status(thm)], [c_10821])).
% 16.34/4.92 tff(c_16311, plain, $false, inference(close, [status(thm), theory('LIA')], [c_16290, c_882])).
% 16.34/4.92 tff(c_16314, plain, ('#skE_9'='#skE_1'), inference(splitRight, [status(thm)], [c_1027])).
% 16.34/4.92 tff(c_16315, plain, ($less('#skE_10', '#skE_9')), inference(splitRight, [status(thm)], [c_1027])).
% 16.34/4.92 tff(c_16346, plain, ($less('#skE_10', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_16314, c_16315])).
% 16.34/4.92 tff(c_16338, plain, ($less('#skE_1', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_16314, c_713])).
% 16.34/4.92 tff(c_18621, plain, $false, inference(close, [status(thm), theory('LIA')], [c_18620, c_16712, c_16346, c_16338])).
% 16.34/4.92 tff(c_18624, plain, ('#skE_2'='#skE_11'), inference(splitRight, [status(thm)], [c_18581])).
% 16.34/4.92 tff(c_18638, plain, ($less('#skE_11', '#skE_11')), inference(demodulation, [status(thm), theory('equality')], [c_18624, c_882])).
% 16.34/4.92 tff(c_18664, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_18638])).
% 16.34/4.92 tff(c_18667, plain, ('#skE_7'='#skE_12'), inference(splitRight, [status(thm)], [c_16689])).
% 16.34/4.92 tff(c_757, plain, (sup(s2)='#skE_10'), inference(define, [status(thm), theory('equality')], [c_520])).
% 16.34/4.92 tff(c_756, plain, (~$less(sup(s2), '#skE_7')), inference(superposition, [status(thm), theory('equality')], [c_493, c_173])).
% 16.34/4.92 tff(c_761, plain, (~$less('#skE_10', '#skE_7')), inference(demodulation, [status(thm), theory('equality')], [c_757, c_756])).
% 16.34/4.92 tff(c_18706, plain, (~$less('#skE_10', '#skE_12')), inference(demodulation, [status(thm), theory('equality')], [c_18667, c_761])).
% 16.34/4.92 tff(c_18668, plain, ($less('#skE_10', '#skE_12')), inference(splitRight, [status(thm)], [c_16689])).
% 16.34/4.92 tff(c_18755, plain, $false, inference(negUnitSimplification, [status(thm)], [c_18706, c_18668])).
% 16.34/4.92 tff(c_18756, plain, (s1=s0), inference(splitRight, [status(thm)], [c_62])).
% 16.34/4.92 tff(c_18925, plain, (insert(s0, select(arr, g(i2)))=s2), inference(demodulation, [status(thm), theory('equality')], [c_18756, c_57])).
% 16.34/4.92 tff(c_18927, plain, (g(i2)='#skE_4'), inference(define, [status(thm), theory('equality')], [c_18925])).
% 16.34/4.92 tff(c_18926, plain, (insert(s0, select(arr, g(i2)))=s2), inference(demodulation, [status(thm), theory('equality')], [c_18756, c_57])).
% 16.34/4.92 tff(c_18937, plain, (insert(s0, select(arr, '#skE_4'))=s2), inference(demodulation, [status(thm), theory('equality')], [c_18927, c_18926])).
% 16.34/4.92 tff(c_19025, plain, (select(arr, '#skE_4')='#skE_7'), inference(define, [status(thm), theory('equality')], [c_18937])).
% 16.34/4.92 tff(c_19024, plain, (insert(s0, select(arr, '#skE_4'))=s2), inference(demodulation, [status(thm), theory('equality')], [c_18927, c_18926])).
% 16.34/4.92 tff(c_19149, plain, (insert(s0, '#skE_7')=s2), inference(demodulation, [status(thm), theory('equality')], [c_19025, c_19024])).
% 16.34/4.92 tff(c_19158, plain, (sup(s2)='#skE_7' | ~$less(sup(s0), '#skE_7')), inference(superposition, [status(thm), theory('equality')], [c_19149, c_65])).
% 16.34/4.92 tff(c_19178, plain, (sup(s2)='#skE_7' | ~$less('#skE_2', '#skE_7')), inference(demodulation, [status(thm), theory('equality')], [c_87, c_19158])).
% 16.34/4.92 tff(c_19387, plain, (sup(s2)='#skE_10'), inference(define, [status(thm), theory('equality')], [c_19178])).
% 16.34/4.92 tff(c_19035, plain, (insert(s0, '#skE_7')=s2), inference(demodulation, [status(thm), theory('equality')], [c_19025, c_19024])).
% 16.34/4.92 tff(c_19250, plain, (![A__questionmark_x_2285a:$int, A__questionmark_s_2286:Set, A__questionmark_y_2287a:$int]: (member(A__questionmark_x_2285a, insert(A__questionmark_s_2286, A__questionmark_y_2287a)) | ~member(A__questionmark_x_2285a, A__questionmark_s_2286) | A__questionmark_y_2287a=A__questionmark_x_2285a)), inference(cnfTransformation, [status(thm)], [f_37])).
% 16.34/4.92 tff(c_19467, plain, (![A__questionmark_x_2310a:$int]: (member(A__questionmark_x_2310a, s2) | ~member(A__questionmark_x_2310a, s0) | A__questionmark_x_2310a='#skE_7')), inference(superposition, [status(thm), theory('equality')], [c_19035, c_19250])).
% 16.34/4.92 tff(c_19470, plain, (![A__questionmark_x_2310a:$int]: (~$less(sup(s2), A__questionmark_x_2310a) | ~member(A__questionmark_x_2310a, s0) | A__questionmark_x_2310a='#skE_7')), inference(resolution, [status(thm)], [c_19467, c_66])).
% 16.34/4.92 tff(c_21577, plain, (![A__questionmark_x_2594a:$int]: (~$less('#skE_10', A__questionmark_x_2594a) | ~member(A__questionmark_x_2594a, s0) | A__questionmark_x_2594a='#skE_7')), inference(demodulation, [status(thm), theory('equality')], [c_19387, c_19470])).
% 16.34/4.92 tff(c_21604, plain, (~$less('#skE_10', '#skE_2') | '#skE_7'='#skE_2'), inference(resolution, [status(thm)], [c_113, c_21577])).
% 16.34/4.92 tff(c_21606, plain, (~$less('#skE_10', '#skE_2')), inference(splitLeft, [status(thm)], [c_21604])).
% 16.34/4.92 tff(c_19399, plain, (member('#skE_10', s2)), inference(superposition, [status(thm), theory('equality')], [c_19387, c_67])).
% 16.34/4.92 tff(c_19048, plain, (g(i3)='#skE_8'), inference(define, [status(thm), theory('equality')], [c_53])).
% 16.34/4.92 tff(c_19058, plain, (insert(s2, select(arr, '#skE_8'))=s3), inference(demodulation, [status(thm), theory('equality')], [c_19048, c_77])).
% 16.34/4.92 tff(c_19202, plain, (select(arr, '#skE_8')='#skE_9'), inference(define, [status(thm), theory('equality')], [c_19058])).
% 16.34/4.92 tff(c_19201, plain, (insert(s2, select(arr, '#skE_8'))=s3), inference(demodulation, [status(thm), theory('equality')], [c_19048, c_77])).
% 16.34/4.92 tff(c_19275, plain, (insert(s2, '#skE_9')=s3), inference(demodulation, [status(thm), theory('equality')], [c_19202, c_19201])).
% 16.34/4.92 tff(c_19486, plain, (![A__questionmark_x_2314a:$int]: (member(A__questionmark_x_2314a, s3) | ~member(A__questionmark_x_2314a, s2) | A__questionmark_x_2314a='#skE_9')), inference(superposition, [status(thm), theory('equality')], [c_19275, c_72])).
% 16.34/4.92 tff(c_19489, plain, (![A__questionmark_x_2314a:$int]: (~$less(sup(s3), A__questionmark_x_2314a) | ~member(A__questionmark_x_2314a, s2) | A__questionmark_x_2314a='#skE_9')), inference(resolution, [status(thm)], [c_19486, c_66])).
% 16.34/4.92 tff(c_21318, plain, (![A__questionmark_x_2556a:$int]: (~$less('#skE_1', A__questionmark_x_2556a) | ~member(A__questionmark_x_2556a, s2) | A__questionmark_x_2556a='#skE_9')), inference(demodulation, [status(thm), theory('equality')], [c_86, c_19489])).
% 16.34/4.92 tff(c_21341, plain, (~$less('#skE_1', '#skE_10') | '#skE_9'='#skE_10'), inference(resolution, [status(thm)], [c_19399, c_21318])).
% 16.34/4.92 tff(c_21366, plain, (~$less('#skE_1', '#skE_10')), inference(splitLeft, [status(thm)], [c_21341])).
% 16.34/4.92 tff(c_19570, plain, (![A__questionmark_x_2322a:$int]: (member(A__questionmark_x_2322a, s2) | ~member(A__questionmark_x_2322a, s3) | A__questionmark_x_2322a='#skE_9')), inference(superposition, [status(thm), theory('equality')], [c_19275, c_71])).
% 16.34/4.92 tff(c_19593, plain, (member('#skE_1', s2) | '#skE_9'='#skE_1'), inference(resolution, [status(thm)], [c_116, c_19570])).
% 16.34/4.92 tff(c_19597, plain, ('#skE_9'='#skE_1'), inference(splitLeft, [status(thm)], [c_19593])).
% 16.34/4.92 tff(c_19061, plain, (g(i3)='#skE_8'), inference(define, [status(thm), theory('equality')], [c_53])).
% 16.34/4.92 tff(c_19090, plain, ($less(0, '#skE_8')), inference(superposition, [status(thm), theory('equality')], [c_19061, c_63])).
% 16.34/4.92 tff(c_19209, plain, (select(arr, '#skE_8')='#skE_9'), inference(define, [status(thm), theory('equality')], [c_19058])).
% 16.34/4.92 tff(c_19331, plain, (![A__questionmark_i_2296a:$int]: ($less(select(arr, A__questionmark_i_2296a), '#skE_2') | ~$less(0, A__questionmark_i_2296a))), inference(demodulation, [status(thm), theory('equality')], [c_87, c_64])).
% 16.34/4.92 tff(c_19334, plain, ($less('#skE_9', '#skE_2') | ~$less(0, '#skE_8')), inference(superposition, [status(thm), theory('equality')], [c_19209, c_19331])).
% 16.34/4.92 tff(c_19344, plain, ($less('#skE_9', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_19090, c_19334])).
% 16.34/4.92 tff(c_19626, plain, ($less('#skE_1', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_19597, c_19344])).
% 16.34/4.92 tff(c_20296, plain, (![A__questionmark_x_2414a:$int]: (~$less('#skE_10', A__questionmark_x_2414a) | ~member(A__questionmark_x_2414a, s0) | A__questionmark_x_2414a='#skE_7')), inference(demodulation, [status(thm), theory('equality')], [c_19387, c_19470])).
% 16.34/4.92 tff(c_20318, plain, (~$less('#skE_10', '#skE_2') | '#skE_7'='#skE_2'), inference(resolution, [status(thm)], [c_113, c_20296])).
% 16.34/4.92 tff(c_20320, plain, (~$less('#skE_10', '#skE_2')), inference(splitLeft, [status(thm)], [c_20318])).
% 16.34/4.92 tff(c_19492, plain, (![A__questionmark_x_2314a:$int]: (~$less('#skE_1', A__questionmark_x_2314a) | ~member(A__questionmark_x_2314a, s2) | A__questionmark_x_2314a='#skE_9')), inference(demodulation, [status(thm), theory('equality')], [c_86, c_19489])).
% 16.34/4.92 tff(c_19817, plain, (![A__questionmark_x_2349a:$int]: (~$less('#skE_1', A__questionmark_x_2349a) | ~member(A__questionmark_x_2349a, s2) | A__questionmark_x_2349a='#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_19597, c_19492])).
% 16.34/4.92 tff(c_19834, plain, (~$less('#skE_1', '#skE_10') | '#skE_10'='#skE_1'), inference(resolution, [status(thm)], [c_19399, c_19817])).
% 16.34/4.92 tff(c_19855, plain, (~$less('#skE_1', '#skE_10')), inference(splitLeft, [status(thm)], [c_19834])).
% 16.34/4.92 tff(c_20321, plain, $false, inference(close, [status(thm), theory('LIA')], [c_20320, c_19855, c_19626])).
% 16.34/4.92 tff(c_20324, plain, ('#skE_7'='#skE_2'), inference(splitRight, [status(thm)], [c_20318])).
% 16.34/4.92 tff(c_19187, plain, (member('#skE_7', s2)), inference(superposition, [status(thm), theory('equality')], [c_19149, c_73])).
% 16.34/4.92 tff(c_19836, plain, (~$less('#skE_1', '#skE_7') | '#skE_7'='#skE_1'), inference(resolution, [status(thm)], [c_19187, c_19817])).
% 16.34/4.92 tff(c_19853, plain, (~$less('#skE_1', '#skE_7')), inference(splitLeft, [status(thm)], [c_19836])).
% 16.34/4.92 tff(c_20338, plain, (~$less('#skE_1', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_20324, c_19853])).
% 16.34/4.92 tff(c_20379, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_19626, c_20338])).
% 16.34/4.92 tff(c_20382, plain, ('#skE_10'='#skE_1'), inference(splitRight, [status(thm)], [c_19834])).
% 16.34/4.92 tff(c_20383, plain, ($less('#skE_1', '#skE_10')), inference(splitRight, [status(thm)], [c_19834])).
% 16.34/4.92 tff(c_20448, plain, ($less('#skE_1', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_20382, c_20383])).
% 16.34/4.92 tff(c_20450, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_20448])).
% 16.34/4.92 tff(c_20453, plain, ('#skE_7'='#skE_1'), inference(splitRight, [status(thm)], [c_19836])).
% 16.34/4.92 tff(c_20454, plain, ($less('#skE_1', '#skE_7')), inference(splitRight, [status(thm)], [c_19836])).
% 16.34/4.92 tff(c_20518, plain, ($less('#skE_1', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_20453, c_20454])).
% 16.34/4.92 tff(c_20520, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_20518])).
% 16.34/4.92 tff(c_20529, plain, (member('#skE_1', s2)), inference(splitRight, [status(thm)], [c_19593])).
% 16.34/4.92 tff(c_19175, plain, (![A__questionmark_x_3a:$int]: (member(A__questionmark_x_3a, s0) | ~member(A__questionmark_x_3a, s2) | A__questionmark_x_3a='#skE_7')), inference(superposition, [status(thm), theory('equality')], [c_19149, c_71])).
% 16.34/4.92 tff(c_20538, plain, (member('#skE_1', s0) | '#skE_7'='#skE_1'), inference(resolution, [status(thm)], [c_20529, c_19175])).
% 16.34/4.92 tff(c_20545, plain, ('#skE_7'='#skE_1'), inference(splitLeft, [status(thm)], [c_20538])).
% 16.34/4.92 tff(c_18940, plain, (g(i2)='#skE_4'), inference(define, [status(thm), theory('equality')], [c_18925])).
% 16.34/4.92 tff(c_18961, plain, ($less(0, '#skE_4')), inference(superposition, [status(thm), theory('equality')], [c_18940, c_63])).
% 16.34/4.92 tff(c_19032, plain, (select(arr, '#skE_4')='#skE_7'), inference(define, [status(thm), theory('equality')], [c_18937])).
% 16.34/4.92 tff(c_19337, plain, ($less('#skE_7', '#skE_2') | ~$less(0, '#skE_4')), inference(superposition, [status(thm), theory('equality')], [c_19032, c_19331])).
% 16.34/4.92 tff(c_19348, plain, ($less('#skE_7', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_18961, c_19337])).
% 16.34/4.92 tff(c_20577, plain, ($less('#skE_1', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_20545, c_19348])).
% 16.34/4.92 tff(c_19521, plain, (![A__questionmark_x_2317a:$int]: (member(A__questionmark_x_2317a, s0) | ~member(A__questionmark_x_2317a, s2) | A__questionmark_x_2317a='#skE_7')), inference(superposition, [status(thm), theory('equality')], [c_19149, c_71])).
% 16.34/4.92 tff(c_19539, plain, (member('#skE_10', s0) | '#skE_7'='#skE_10'), inference(resolution, [status(thm)], [c_19399, c_19521])).
% 16.34/4.92 tff(c_20936, plain, (member('#skE_10', s0) | '#skE_10'='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_20545, c_19539])).
% 16.34/4.92 tff(c_20939, plain, ('#skE_10'='#skE_1'), inference(splitLeft, [status(thm)], [c_20936])).
% 16.34/4.92 tff(c_19473, plain, (![A__questionmark_x_2310a:$int]: (~$less('#skE_10', A__questionmark_x_2310a) | ~member(A__questionmark_x_2310a, s0) | A__questionmark_x_2310a='#skE_7')), inference(demodulation, [status(thm), theory('equality')], [c_19387, c_19470])).
% 16.34/4.92 tff(c_21077, plain, (![A__questionmark_x_2518a:$int]: (~$less('#skE_1', A__questionmark_x_2518a) | ~member(A__questionmark_x_2518a, s0) | A__questionmark_x_2518a='#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_20545, c_20939, c_19473])).
% 16.34/4.92 tff(c_21087, plain, (~$less('#skE_1', '#skE_2') | '#skE_2'='#skE_1'), inference(resolution, [status(thm)], [c_113, c_21077])).
% 16.34/4.92 tff(c_21094, plain, ('#skE_2'='#skE_1'), inference(demodulation, [status(thm), theory('equality')], [c_20577, c_21087])).
% 16.34/4.92 tff(c_21096, plain, $false, inference(negUnitSimplification, [status(thm)], [c_88, c_21094])).
% 16.34/4.92 tff(c_21102, plain, ('#skE_10'!='#skE_1'), inference(splitRight, [status(thm)], [c_20936])).
% 16.34/4.92 tff(c_20754, plain, (![A__questionmark_x_2482a:$int]: (~$less('#skE_1', A__questionmark_x_2482a) | ~member(A__questionmark_x_2482a, s2) | A__questionmark_x_2482a='#skE_9')), inference(demodulation, [status(thm), theory('equality')], [c_86, c_19489])).
% 16.34/4.92 tff(c_20769, plain, (~$less('#skE_1', '#skE_10') | '#skE_9'='#skE_10'), inference(resolution, [status(thm)], [c_19399, c_20754])).
% 16.34/4.92 tff(c_20773, plain, (~$less('#skE_1', '#skE_10')), inference(splitLeft, [status(thm)], [c_20769])).
% 16.34/4.92 tff(c_20535, plain, (~$less(sup(s2), '#skE_1')), inference(resolution, [status(thm)], [c_20529, c_66])).
% 16.34/4.92 tff(c_20541, plain, (~$less('#skE_10', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_19387, c_20535])).
% 16.34/4.92 tff(c_21103, plain, $false, inference(close, [status(thm), theory('LIA')], [c_21102, c_20773, c_20541])).
% 16.34/4.92 tff(c_21107, plain, ($less('#skE_1', '#skE_10')), inference(splitRight, [status(thm)], [c_20769])).
% 16.34/4.92 tff(c_21106, plain, ('#skE_9'='#skE_10'), inference(splitRight, [status(thm)], [c_20769])).
% 16.34/4.92 tff(c_18777, plain, (![A__questionmark_s_2223:Set, A__questionmark_x_2224a:$int]: (~$less(sup(A__questionmark_s_2223), A__questionmark_x_2224a) | ~member(A__questionmark_x_2224a, A__questionmark_s_2223))), inference(backgroundSimplification, [status(thm), theory('LRFIA')], [c_13])).
% 16.34/4.92 tff(c_18801, plain, (![A__questionmark_s_2:Set, A__questionmark_x_1a:$int]: (~$less(sup(insert(A__questionmark_s_2, A__questionmark_x_1a)), A__questionmark_x_1a))), inference(resolution, [status(thm)], [c_73, c_18777])).
% 16.34/4.92 tff(c_19293, plain, (~$less(sup(s3), '#skE_9')), inference(superposition, [status(thm), theory('equality')], [c_19275, c_18801])).
% 16.34/4.92 tff(c_19318, plain, (~$less('#skE_1', '#skE_9')), inference(demodulation, [status(thm), theory('equality')], [c_86, c_19293])).
% 16.34/4.92 tff(c_21145, plain, (~$less('#skE_1', '#skE_10')), inference(demodulation, [status(thm), theory('equality')], [c_21106, c_19318])).
% 16.34/4.92 tff(c_21200, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_21107, c_21145])).
% 16.34/4.92 tff(c_21209, plain, (member('#skE_1', s0)), inference(splitRight, [status(thm)], [c_20538])).
% 16.34/4.92 tff(c_21212, plain, (~$less(sup(s0), '#skE_1')), inference(resolution, [status(thm)], [c_21209, c_66])).
% 16.34/4.92 tff(c_21215, plain, (~$less('#skE_2', '#skE_1')), inference(demodulation, [status(thm), theory('equality')], [c_87, c_21212])).
% 16.34/4.92 tff(c_21607, plain, $false, inference(close, [status(thm), theory('LIA')], [c_21606, c_21366, c_21215, c_88])).
% 16.34/4.92 tff(c_21610, plain, ('#skE_7'='#skE_2'), inference(splitRight, [status(thm)], [c_21604])).
% 16.34/4.92 tff(c_21676, plain, ($less('#skE_2', '#skE_2')), inference(demodulation, [status(thm), theory('equality')], [c_21610, c_19348])).
% 16.34/4.92 tff(c_21704, plain, $false, inference(backgroundSimplification, [status(thm), theory('LIA')], [c_21676])).
% 16.34/4.92 tff(c_21708, plain, ($less('#skE_1', '#skE_10')), inference(splitRight, [status(thm)], [c_21341])).
% 16.34/4.92 tff(c_21707, plain, ('#skE_9'='#skE_10'), inference(splitRight, [status(thm)], [c_21341])).
% 16.34/4.92 tff(c_21749, plain, (~$less('#skE_1', '#skE_10')), inference(demodulation, [status(thm), theory('equality')], [c_21707, c_19318])).
% 16.34/4.92 tff(c_21758, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_21708, c_21749])).
% 16.34/4.92 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.34/4.92
% 16.34/4.92 Inference rules
% 16.34/4.92 ----------------------
% 16.34/4.92 #Ref : 2
% 16.34/4.92 #Sup : 2854
% 16.34/4.92 #Fact : 0
% 16.34/4.92 #Define : 20
% 16.34/4.92 #Split : 133
% 16.34/4.92 #Chain : 0
% 16.34/4.92 #Close : 32
% 16.34/4.92
% 16.34/4.92 Ordering : LPO
% 16.34/4.92
% 16.34/4.92 Simplification rules
% 16.34/4.92 ----------------------
% 16.34/4.92 #Subsume : 355
% 16.34/4.92 #Demod : 1780
% 16.34/4.92 #Tautology : 1254
% 16.34/4.92 #SimpNegUnit : 48
% 16.34/4.92 #BackRed : 691
% 16.34/4.92
% 16.34/4.92 #Partial instantiations: 0
% 16.34/4.92 #Strategies tried : 1
% 16.34/4.92
% 16.34/4.92 Timing (in seconds)
% 16.34/4.92 ----------------------
% 16.34/4.92 Preprocessing : 0.57
% 16.34/4.92 Parsing : 0.32
% 16.34/4.92 CNF conversion : 0.03
% 16.34/4.92 Main loop : 3.26
% 16.34/4.92 Inferencing : 0.71
% 16.34/4.92 Reduction : 0.81
% 16.34/4.92 Demodulation : 0.57
% 16.34/4.92 BG Simplification : 0.18
% 16.34/4.92 Subsumption : 0.53
% 16.34/4.92 Abstraction : 0.10
% 16.34/4.92 MUC search : 0.41
% 16.34/4.92 Cooper : 0.66
% 16.34/4.92 Total : 3.93
% 16.34/4.92 Index Insertion : 0.00
% 16.34/4.92 Index Deletion : 0.00
% 16.34/4.92 Index Matching : 0.00
% 16.34/4.92 BG Taut test : 0.00
%------------------------------------------------------------------------------