%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM520+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 : Sat Jul 23 06:12:40 EDT 2022
% Result : Theorem 271.55s 271.72s
% Output : Refutation 271.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM520+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 23:14:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 271.55/271.72 GeoParameters:
% 271.55/271.72
% 271.55/271.72 tptp_input = 1
% 271.55/271.72 tptp_output = 0
% 271.55/271.72 nonempty = 1
% 271.55/271.72 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 271.55/271.72 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 271.55/271.72
% 271.55/271.72
% 271.55/271.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 271.55/271.72 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 271.55/271.72
% 271.55/271.72 RuleSystem INPUT:
% 271.55/271.72
% 271.55/271.72 Initial Rules:
% 271.55/271.72 #0: input, references = 4, size of lhs = 1:
% 271.55/271.72 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1: input, references = 3, size of lhs = 2:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2: input, references = 3, size of lhs = 2:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #3: input, references = 9, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #4: input, references = 3, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #5: input, references = 4, size of lhs = 7:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), P_sdtpldt0-{F}(V2,V3,V5), aNaturalNumber0-{F}(V3), V4 == V5 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #6: input, references = 4, size of lhs = 10:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V6,V2,V7), P_sdtpldt0-{F}(V5,V4,V8), aNaturalNumber0-{F}(V5), V7 == V8 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #7: input, references = 4, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V3 == V2 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #8: input, references = 5, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V2 == V4 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #9: input, references = 4, size of lhs = 7:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V5), aNaturalNumber0-{F}(V3), V4 == V5 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #10: input, references = 3, size of lhs = 10:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V5,V3,V6), P_sdtasdt0-{F}(V6,V2,V7), P_sdtasdt0-{F}(V5,V4,V8), aNaturalNumber0-{F}(V5), V7 == V8 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #11: input, references = 5, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aNaturalNumber0-{F}(V2), V3 == V2 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #12: input, references = 3, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aNaturalNumber0-{F}(V2), V2 == V4 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #13: input, references = 5, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V3 == V0 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #14: input, references = 4, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V0 == V4 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #15: input, references = 5, size of lhs = 15:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtasdt0-{F}(V4,V5,V10), P_sdtasdt0-{F}(V3,V5,V11), P_sdtasdt0-{F}(V2,V5,V12), P_sdtpldt0-{F}(V11,V12,V13), aNaturalNumber0-{F}(V5), V6 == V9 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #16: input, references = 5, size of lhs = 15:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtasdt0-{F}(V4,V5,V10), P_sdtasdt0-{F}(V3,V5,V11), P_sdtasdt0-{F}(V2,V5,V12), P_sdtpldt0-{F}(V11,V12,V13), aNaturalNumber0-{F}(V5), V10 == V13 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #17: input, references = 4, size of lhs = 10:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V6), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V7), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #18: input, references = 3, size of lhs = 10:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V8), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #19: input, references = 3, size of lhs = 11:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V2,V5), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V2,V6,V4), P_sdtasdt0-{F}(V6,V2,V8), aNaturalNumber0-{F}(V6), V2 == V0, V6 == V3 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #20: input, references = 3, size of lhs = 11:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V2,V5), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V2,V6,V7), P_sdtasdt0-{F}(V6,V2,V5), aNaturalNumber0-{F}(V6), V2 == V0, V6 == V3 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #21: input, references = 4, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #22: input, references = 4, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #23: input, references = 3, size of lhs = 7:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0, V3 == V0 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #24: input, references = 7, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #25: input, references = 3, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #26: input, references = 7, size of lhs = 3:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V2,V3,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #27: input, references = 3, size of lhs = 4:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #28: input, references = 12, size of lhs = 3:
% 271.55/271.72 pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #29: input, references = 15, size of lhs = 2:
% 271.55/271.72 pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #30: input, references = 9, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtmndt0-{F}(V2,V3,V4), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp1-{T}(V3,V2,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #31: input, references = 5, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtmndt0-{F}(V2,V3,V4), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), pppp1-{F}(V3,V2,V5), V5 == V4 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #32: input, references = 3, size of lhs = 4:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #33: input, references = 10, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #34: input, references = 4, size of lhs = 4:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #35: input, references = 3, size of lhs = 3:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #36: input, references = 5, size of lhs = 7:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), sdtlseqdt0-{F}(V2,V3), V3 == V2 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #37: input, references = 3, size of lhs = 7:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), aNaturalNumber0-{F}(V4), sdtlseqdt0-{F}(V4,V3) | sdtlseqdt0-{T}(V4,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #38: input, references = 3, size of lhs = 3:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #39: input, references = 4, size of lhs = 4:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #40: input, references = 3, size of lhs = 11:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V3,V6), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V7), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #41: input, references = 12, size of lhs = 11:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V7), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | sdtlseqdt0-{T}(V5,V6)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #42: input, references = 3, size of lhs = 11:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V8), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #43: input, references = 3, size of lhs = 11:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V7), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | sdtlseqdt0-{T}(V7,V8)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #44: input, references = 3, size of lhs = 12:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V6), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #45: input, references = 3, size of lhs = 12:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | sdtlseqdt0-{T}(V5,V6)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #46: input, references = 3, size of lhs = 12:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V8), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #47: input, references = 3, size of lhs = 12:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | sdtlseqdt0-{T}(V7,V8)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #48: input, references = 11, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #49: input, references = 3, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), V2 == V0 | sdtlseqdt0-{T}(V3,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #50: input, references = 3, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), V3 == V2 | iLess0-{T}(V3,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #51: input, references = 3, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2) | pppp2-{T}(V3,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #52: input, references = 6, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2) | doDivides0-{T}(V3,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #53: input, references = 3, size of lhs = 3:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp2-{F}(V2,V3) | EXISTS V4: pppp6-{T}(V2,V3,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #54: input, references = 6, size of lhs = 4:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp2-{T}(V2,V5)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #55: input, references = 3, size of lhs = 3:
% 271.55/271.72 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3), V1 == V3 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #56: input, references = 3, size of lhs = 2:
% 271.55/271.72 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #57: input, references = 3, size of lhs = 7:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), V2 == V0 | pppp3-{T}(V2,V3,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #58: input, references = 4, size of lhs = 9:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), pppp3-{F}(V2,V3,V5), V2 == V0, V5 == V4 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #59: input, references = 3, size of lhs = 4:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #60: input, references = 3, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4), V3 == V5 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #61: input, references = 6, size of lhs = 4:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp3-{T}(V2,V5,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #62: input, references = 3, size of lhs = 7:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V3) | doDivides0-{T}(V4,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #63: input, references = 5, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V2,V5), aNaturalNumber0-{F}(V4), doDivides0-{F}(V3,V4) | doDivides0-{T}(V3,V5)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #64: input, references = 4, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V4,V2,V5), aNaturalNumber0-{F}(V4), doDivides0-{F}(V3,V4), doDivides0-{F}(V3,V5) | doDivides0-{T}(V3,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #65: input, references = 7, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V2 == V0 | sdtlseqdt0-{T}(V3,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #66: input, references = 6, size of lhs = 12:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtsldt0-{F}(V7,V2,V8), aNaturalNumber0-{F}(V5), V2 == V0, V6 == V8 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #67: input, references = 4, size of lhs = 4:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), isPrime0-{F}(V2) | pppp4-{T}(V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #68: input, references = 3, size of lhs = 4:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp4-{F}(V2) | isPrime0-{T}(V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #69: input, references = 3, size of lhs = 3:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V0) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #70: input, references = 3, size of lhs = 3:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V1) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #71: input, references = 5, size of lhs = 7:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V3 == V1, V3 == V2 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #72: input, references = 4, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), #-{F} V2, V2 == V0, V2 == V1 | pppp4-{T}(V2), pppp9-{T}(V2,V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #73: input, references = 3, size of lhs = 1:
% 271.55/271.72 pppp9-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V2,V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #74: input, references = 3, size of lhs = 1:
% 271.55/271.72 pppp7-{F}(V0,V0,V2) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #75: input, references = 3, size of lhs = 1:
% 271.55/271.72 pppp7-{F}(V0,V2,V2) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #76: input, references = 3, size of lhs = 1:
% 271.55/271.72 pppp7-{F}(V0,V1,V2) | doDivides0-{T}(V1,V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #77: input, references = 3, size of lhs = 1:
% 271.55/271.72 pppp7-{F}(V0,V1,V2) | aNaturalNumber0-{T}(V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #78: input, references = 3, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | EXISTS V3: pppp8-{T}(V2,V3)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #79: input, references = 3, size of lhs = 1:
% 271.55/271.72 pppp8-{F}(V0,V1) | isPrime0-{T}(V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #80: input, references = 3, size of lhs = 1:
% 271.55/271.72 pppp8-{F}(V0,V1) | doDivides0-{T}(V1,V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #81: input, references = 3, size of lhs = 1:
% 271.55/271.72 pppp8-{F}(V0,V1) | aNaturalNumber0-{T}(V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #82: input, references = 6, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4) | aNaturalNumber0-{T}(V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #83: input, references = 6, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4) | aNaturalNumber0-{T}(V3)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #84: input, references = 9, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4) | aNaturalNumber0-{T}(V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #85: input, references = 3, size of lhs = 16:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), aNaturalNumber0-{F}(V7), isPrime0-{F}(V7), aNaturalNumber0-{F}(V8), P_sdtasdt0-{F}(V9,V8,V10), P_sdtpldt0-{F}(V9,V8,V11), P_sdtpldt0-{F}(V11,V7,V12), aNaturalNumber0-{F}(V9), doDivides0-{F}(V7,V10), iLess0-{F}(V12,V6) | doDivides0-{T}(V7,V8), doDivides0-{T}(V7,V9)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #86: input, references = 4, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7) | isPrime0-{T}(V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #87: input, references = 7, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7) | doDivides0-{T}(V4,V7)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #88: input, references = 4, size of lhs = 9:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), sdtlseqdt0-{F}(V4,V2) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #89: input, references = 5, size of lhs = 9:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), sdtlseqdt0-{F}(V4,V3) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #90: input, references = 3, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V4), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V4,V3,V7) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #91: input, references = 3, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7) | sdtlseqdt0-{T}(V2,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #92: input, references = 4, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V4), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V4,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V4,V7) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #93: input, references = 3, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7) | sdtlseqdt0-{T}(V3,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #94: input, references = 4, size of lhs = 11:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), P_xk-{F}(V8), P_sdtsldt0-{F}(V7,V4,V9), V8 == V9 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #95: input, references = 4, size of lhs = 10:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), P_xk-{F}(V0), P_sdtsldt0-{F}(V7,V4,V9) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #96: input, references = 4, size of lhs = 10:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), P_xk-{F}(V1), P_sdtsldt0-{F}(V7,V4,V9) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #97: input, references = 4, size of lhs = 12:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), P_xk-{F}(V8), P_sdtsldt0-{F}(V7,V4,V9), V8 == V0, V8 == V1 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #98: input, references = 4, size of lhs = 11:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), P_xk-{F}(V8), P_sdtsldt0-{F}(V7,V4,V9), doDivides0-{F}(V4,V2) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #99: input, references = 3, size of lhs = 11:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), P_xk-{F}(V8), P_sdtsldt0-{F}(V7,V4,V9), doDivides0-{F}(V4,V3) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #100: input, references = 4, size of lhs = 0:
% 271.55/271.72 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #101: input, references = 4, size of lhs = 0:
% 271.55/271.72 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #102: input, references = 33, size of lhs = 2:
% 271.55/271.72 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #103: input, references = 15, size of lhs = 2:
% 271.55/271.72 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #104: input, references = 8, size of lhs = 2:
% 271.55/271.72 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #105: input, references = 7, size of lhs = 2:
% 271.55/271.72 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtsldt0-{T}(V0,V1,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #106: input, references = 4, size of lhs = 0:
% 271.55/271.72 FALSE | EXISTS V0: P_xn-{T}(V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #107: input, references = 6, size of lhs = 0:
% 271.55/271.72 FALSE | EXISTS V0: P_xm-{T}(V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #108: input, references = 9, size of lhs = 0:
% 271.55/271.72 FALSE | EXISTS V0: P_xp-{T}(V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #109: input, references = 6, size of lhs = 0:
% 271.55/271.72 FALSE | EXISTS V0: P_xk-{T}(V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 number of initial rules = 110
% 271.55/271.72
% 271.55/271.72 Simplifiers:
% 271.55/271.72 #110: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #111: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #112: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #113: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #114: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #115: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 P_sdtsldt0-{F}(V0,V1,V2), P_sdtsldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #116: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #117: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #118: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 P_xp-{F}(V0), P_xp-{F}(V1), V0 == V1 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #119: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 P_xk-{F}(V0), P_xk-{F}(V1), V0 == V1 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #120: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #121: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #122: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V2), V1 == V4 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #123: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V2 == V5 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #124: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #125: unsound, references = 3, size of lhs = 3:
% 271.55/271.72 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V1 == V3 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 number of simplifiers = 16
% 271.55/271.72
% 271.55/271.72 Learnt:
% 271.55/271.72 #128: exists( #104, #31 ), references = 1, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), pppp1-{F}(V3,V2,V4) | P_sdtmndt0-{T}(V2,V3,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #132: exists( #102, #7 ), references = 1, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #134: mergings( V4 == V1; #131 ), references = 2, size of lhs = 4:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2) | P_sdtpldt0-{T}(V0,V2,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #136: exists( #102, #130 ), references = 8, size of lhs = 3:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #139: exists( #103, #13 ), references = 1, size of lhs = 3:
% 271.55/271.72 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #142: exists( #103, #11 ), references = 1, size of lhs = 3:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #145: exists( #102, #88 ), references = 2, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), sdtlseqdt0-{F}(V4,V2), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #147: exists( #103, #144 ), references = 3, size of lhs = 7:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), sdtlseqdt0-{F}(V4,V2), P_sdtpldt0-{F}(V2,V3,V5) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #160: exists( #103, #13 ), references = 1, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #162: mergings( V4 == V0; #157 ), references = 3, size of lhs = 4:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V0) | P_sdtasdt0-{T}(V0,V2,V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #163: exists( #103, #9 ), references = 13, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4) | P_sdtasdt0-{T}(V2,V3,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #165: exists( #103, #159 ), references = 7, size of lhs = 3:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #167: exists( #102, #147 ), references = 3, size of lhs = 6:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), sdtlseqdt0-{F}(V4,V2) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #173: exists( #105, #58 ), references = 4, size of lhs = 7:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), pppp3-{F}(V2,V3,V4) | P_sdtsldt0-{T}(V3,V2,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #176: exists( #102, #92 ), references = 2, size of lhs = 7:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V3), P_sdtpldt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V2,V3,V5) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #177: exists( #102, #89 ), references = 3, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), sdtlseqdt0-{F}(V4,V3), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #201: exists( #102, #5 ), references = 25, size of lhs = 5:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4) | P_sdtpldt0-{T}(V2,V3,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #204: exists( #105, #66 ), references = 1, size of lhs = 10:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7) | P_sdtsldt0-{T}(V7,V2,V6)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #215: mergings( V3 == V5, V4 == V1; #211 ), references = 4, size of lhs = 4:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #223: exists( #102, #96 ), references = 2, size of lhs = 9:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6), P_sdtsldt0-{F}(V6,V4,V7) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #224: exists( #102, #94 ), references = 3, size of lhs = 10:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6), P_xk-{F}(V7), P_sdtsldt0-{F}(V6,V4,V8), V7 == V8 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #225: exists( #102, #98 ), references = 1, size of lhs = 10:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), doDivides0-{F}(V4,V2), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6), P_xk-{F}(V7), P_sdtsldt0-{F}(V6,V4,V8) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #228: exists( #109, #222 ), references = 1, size of lhs = 9:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), doDivides0-{F}(V4,V2), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6), P_sdtsldt0-{F}(V6,V4,V7) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #262: mergings( V1 == V4, V4 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V23, V2 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V3 == V6, V6 == V23, V7 == V18; #240 ), references = 1, size of lhs = 5:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), P_sz00-{F}(V0), P_xm-{F}(V1), P_sz10-{F}(V2) | P_xp-{T}(V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #288: mergings( V1 == V4, V4 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V2 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V3 == V6, V6 == V23, V23 == V25; #264 ), references = 1, size of lhs = 5:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xn-{F}(V0), sdtlseqdt0-{F}(V0,V0), P_sz10-{F}(V1) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #333: mergings( V3 == V8, V8 == V10, V4 == V9, V9 == V11; #327 ), references = 2, size of lhs = 12:
% 271.55/271.72 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V1,V3), P_sdtasdt0-{F}(V0,V1,V4), P_sz00-{F}(V5), P_sz10-{F}(V6), aNaturalNumber0-{F}(V7), V7 == V6, V7 == V2, doDivides0-{F}(V7,V2) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #339: mergings( V3 == V7, V7 == V9, V4 == V8, V8 == V10; #334 ), references = 3, size of lhs = 11:
% 271.55/271.72 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V1,V3), P_sz00-{F}(V4), P_sz10-{F}(V5), aNaturalNumber0-{F}(V6), V6 == V5, V6 == V2, doDivides0-{F}(V6,V2) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #368: exists( #102, #6 ), references = 7, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V5), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V6,V2,V7) | P_sdtpldt0-{T}(V5,V4,V7)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #369: exists( #102, #28 ), references = 13, size of lhs = 1:
% 271.55/271.72 pppp5-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #385: mergings( V0 == V2, V1 == V5, V5 == V6; #379 ), references = 1, size of lhs = 3:
% 271.55/271.72 P_sz00-{F}(V0), pppp0-{F}(V0,V1), P_sz10-{F}(V2) | pppp5-{T}(V0,V1,V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #391: mergings( V0 == V2, V2 == V6, V1 == V5, V5 == V7, V9 == V8; #381 ), references = 1, size of lhs = 7:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), pppp0-{F}(V0,V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V3,V1), P_sdtpldt0-{F}(V3,V0,V3) | pppp5-{T}(V0,V1,V3)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #400: mergings( V3 == V5, V4 == V6; #395 ), references = 2, size of lhs = 8:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_xp-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_sdtasdt0-{F}(V0,V1,V4) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #403: mergings( V3 == V5, V4 == V6; #396 ), references = 2, size of lhs = 9:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xp-{F}(V4), sdtlseqdt0-{F}(V4,V1), P_sdtasdt0-{F}(V0,V1,V5) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #420: mergings( V3 == V6, V4 == V7; #416 ), references = 2, size of lhs = 12:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), aNaturalNumber0-{F}(V5), V5 == V4, V5 == V2, doDivides0-{F}(V5,V2) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #423: mergings( V3 == V7, V4 == V8; #417 ), references = 1, size of lhs = 13:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V0,V1,V3), P_sz00-{F}(V4), P_sz10-{F}(V5), aNaturalNumber0-{F}(V6), V6 == V5, V6 == V2, doDivides0-{F}(V6,V2) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #451: mergings( V3 == V5, V5 == V10, V4 == V6, V6 == V11; #446 ), references = 1, size of lhs = 9:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V2,V0), P_sz00-{F}(V5), P_sz10-{F}(V6), pppp1-{F}(V4,V7,V3) | P_sdtpldt0-{T}(V1,V0,V7)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #493: mergings( V3 == V8, V4 == V9; #490 ), references = 1, size of lhs = 11:
% 271.55/271.72 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V1,V3), P_sdtasdt0-{F}(V0,V1,V4), V2 == V4, pppp4-{F}(V4), P_sz00-{F}(V5), P_sz10-{F}(V6), V2 == V6 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #499: mergings( V0 == V3, V3 == V9, V1 == V4, V4 == V10; #494 ), references = 1, size of lhs = 12:
% 271.55/271.72 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V1,V3), P_sdtasdt0-{F}(V0,V1,V4), V2 == V4, P_sz00-{F}(V5), V4 == V5, P_sz10-{F}(V6), V4 == V6, V2 == V6 | pppp9-{T}(V4,V6)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #534: mergings( V3 == V8, V8 == V10, V4 == V9, V9 == V11; #527 ), references = 3, size of lhs = 12:
% 271.55/271.72 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V1,V3), P_sdtasdt0-{F}(V0,V1,V4), V4 == V2, aNaturalNumber0-{F}(V4), sdtlseqdt0-{F}(V4,V2), P_sz00-{F}(V5), V4 == V5, P_sz10-{F}(V6) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #543: mergings( V3 == V8, V8 == V10, V4 == V9, V9 == V11, V5 == V12, V6 == V7, V0 == V13, V7 == V14; #528 ), references = 1, size of lhs = 10:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xp-{F}(V1), P_sz00-{F}(V2), V0 == V2, P_sz10-{F}(V3), P_xn-{F}(V4), P_sdtasdt0-{F}(V4,V0,V0), P_sdtpldt0-{F}(V4,V0,V5) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #551: mergings( V3 == V8, V8 == V10, V4 == V9, V9 == V11, V5 == V12, V6 == V7, V7 == V13; #529 ), references = 1, size of lhs = 10:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xp-{F}(V1), P_sz00-{F}(V2), V0 == V2, P_sz10-{F}(V3), P_xn-{F}(V4), P_sdtasdt0-{F}(V4,V0,V0), P_sdtpldt0-{F}(V4,V0,V5) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #566: mergings( V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V11, V0 == V12; #557 ), references = 1, size of lhs = 10:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sdtasdt0-{F}(V0,V1,V1), aNaturalNumber0-{F}(V2), P_xp-{F}(V2), P_sz00-{F}(V3), V1 == V3, P_sz10-{F}(V4) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #574: mergings( V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V11, V0 == V12; #558 ), references = 1, size of lhs = 10:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sdtasdt0-{F}(V0,V1,V1), aNaturalNumber0-{F}(V2), P_xp-{F}(V2), P_sz00-{F}(V3), V1 == V3, P_sz10-{F}(V4) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #602: mergings( V1 == V4, V4 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V3 == V6, V6 == V20, V7 == V16; #583 ), references = 1, size of lhs = 6:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), P_sz10-{F}(V0), P_xm-{F}(V1), P_sz00-{F}(V2), V1 == V2 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #621: mergings( V1 == V4, V4 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V2 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V3 == V6, V6 == V18; #603 ), references = 1, size of lhs = 4:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1) | P_xm-{T}(V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #623: exists( #109, #224 ), references = 2, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6), P_sdtsldt0-{F}(V6,V4,V7) | P_xk-{T}(V7)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #635: mergings( V3 == V5, V4 == V6; #632 ), references = 3, size of lhs = 11:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_xp-{F}(V1), P_sz00-{F}(V2), P_xk-{F}(V2), P_sz10-{F}(V3), P_xn-{F}(V4), P_xm-{F}(V5), P_sdtpldt0-{F}(V4,V5,V0), P_sdtasdt0-{F}(V4,V5,V6), P_sdtsldt0-{F}(V6,V1,V7) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #664: mergings( V1 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V20, V2 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V21, V21 == V23, V3 == V17, V17 == V24, V4 == V18, V18 == V25, V19 == V22; #643 ), references = 1, size of lhs = 8:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V2), P_xn-{F}(V3), P_xm-{F}(V4), P_sdtpldt0-{F}(V3,V4,V1), P_sdtasdt0-{F}(V3,V4,V0) | P_xp-{T}(V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #710: mergings( V3 == V5, V4 == V6; #706 ), references = 1, size of lhs = 7:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_xp-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #713: mergings( V3 == V5, V4 == V6; #707 ), references = 1, size of lhs = 8:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xp-{F}(V4), sdtlseqdt0-{F}(V4,V1) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #882: exists( #105, #66 ), references = 1, size of lhs = 10:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7) | P_sdtsldt0-{T}(V7,V2,V6)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #975: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #970 ), references = 14, size of lhs = 7:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2), sdtlseqdt0-{F}(V3,V2), P_sdtmndt0-{F}(V2,V3,V4) | pppp5-{T}(V3,V2,V4)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1012: exists( #105, #224 ), references = 4, size of lhs = 8:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6), P_xk-{F}(V7) | P_sdtsldt0-{T}(V6,V4,V7)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1027: mergings( V3 == V5, V4 == V6; #1023 ), references = 8, size of lhs = 13:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V0,V5,V8)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1030: mergings( V3 == V5, V4 == V6; #1024 ), references = 1, size of lhs = 13:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V0,V5,V11)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1077: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V16, V1 == V6, V6 == V8, V8 == V10, V10 == V17; #1068 ), references = 1, size of lhs = 16:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V2), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3), V3 == V2, aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V1,V4), P_xn-{F}(V5), P_xm-{F}(V6), P_sdtasdt0-{F}(V5,V6,V3), P_sdtpldt0-{F}(V5,V6,V7), P_sz00-{F}(V8), V3 == V8 | pppp5-{T}(V1,V2,V8), pppp5-{T}(V1,V2,V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1088: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V15, V1 == V3, V3 == V5, V5 == V7, V7 == V16, V17 == V8; #1078 ), references = 2, size of lhs = 18:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V2), V1 == V2, P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3), V3 == V2, aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V1,V4), P_xn-{F}(V5), P_xm-{F}(V6), P_sdtasdt0-{F}(V5,V6,V3), P_sdtpldt0-{F}(V5,V6,V7), P_sz00-{F}(V8), V3 == V8, P_sdtpldt0-{F}(V1,V8,V1) | pppp5-{T}(V1,V2,V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1101: mergings( V3 == V6, V6 == V7, V7 == V9, V4 == V5, V5 == V8, V8 == V10; #1094 ), references = 1, size of lhs = 17:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), aNaturalNumber0-{F}(V4), V4 == V3, aNaturalNumber0-{F}(V5), doDivides0-{F}(V4,V5), P_sdtsldt0-{F}(V5,V4,V0), P_sdtasdt0-{F}(V5,V2,V6), P_sdtasdt0-{F}(V5,V1,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V2,V5,V9), P_sdtasdt0-{F}(V1,V5,V10), P_sdtpldt0-{F}(V9,V10,V11), P_sdtsldt0-{F}(V8,V4,V12) | P_sdtpldt0-{T}(V2,V1,V12)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1110: mergings( V6 == V9; #1108 ), references = 2, size of lhs = 17:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V2), V1 == V2, P_xp-{F}(V2), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V2, P_sdtpldt0-{F}(V1,V0,V3), P_sdtpldt0-{F}(V0,V1,V4), P_xn-{F}(V5), P_xm-{F}(V6), P_sdtasdt0-{F}(V5,V6,V3), P_sz00-{F}(V7), V3 == V7, P_sdtpldt0-{F}(V1,V7,V1) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1177: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #1166 ), references = 1, size of lhs = 12:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp0-{F}(V2,V0), sdtlseqdt0-{F}(V2,V0), P_sdtpldt0-{F}(V2,V1,V3), P_xp-{F}(V3), P_sdtpldt0-{F}(V1,V2,V4), P_sz00-{F}(V5), P_xm-{F}(V6) | P_sdtmndt0-{T}(V0,V2,V5), P_sdtmndt0-{T}(V0,V2,V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1186: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #1167 ), references = 1, size of lhs = 13:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp0-{F}(V2,V0), sdtlseqdt0-{F}(V2,V0), P_sdtpldt0-{F}(V2,V1,V3), P_xp-{F}(V3), P_sdtpldt0-{F}(V1,V2,V4), P_sz00-{F}(V5), P_xm-{F}(V6), P_sdtpldt0-{F}(V0,V6,V7) | P_sdtmndt0-{T}(V0,V2,V5), P_sdtmndt0-{T}(V0,V2,V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1195: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #1168 ), references = 1, size of lhs = 14:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp0-{F}(V2,V0), sdtlseqdt0-{F}(V2,V0), P_sdtpldt0-{F}(V2,V1,V3), P_xp-{F}(V3), P_sdtpldt0-{F}(V1,V2,V4), P_sz00-{F}(V5), P_xm-{F}(V6), P_sdtpldt0-{F}(V0,V6,V7), P_sdtasdt0-{F}(V0,V6,V8) | P_sdtmndt0-{T}(V0,V2,V5), P_sdtmndt0-{T}(V0,V2,V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1211: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V12, V12 == V15, V1 == V4, V4 == V6, V6 == V8, V8 == V13, V13 == V16, V17 == V9; #1198 ), references = 1, size of lhs = 14:
% 271.55/271.72 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), P_xp-{F}(V2), P_xm-{F}(V3), P_sz00-{F}(V4), aNaturalNumber0-{F}(V5), V5 == V0, P_sdtpldt0-{F}(V5,V1,V2), pppp0-{F}(V5,V0), sdtlseqdt0-{F}(V5,V0), P_sdtpldt0-{F}(V5,V4,V5), P_sdtpldt0-{F}(V1,V5,V6) | P_sdtmndt0-{T}(V0,V5,V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1225: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V12, V12 == V15, V15 == V17, V1 == V4, V4 == V6, V6 == V8, V8 == V13, V13 == V16, V16 == V18, V19 == V9; #1199 ), references = 1, size of lhs = 14:
% 271.55/271.72 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), P_xp-{F}(V2), P_xm-{F}(V3), aNaturalNumber0-{F}(V4), V4 == V0, pppp0-{F}(V4,V0), P_sdtpldt0-{F}(V4,V1,V2), sdtlseqdt0-{F}(V4,V0), P_sdtpldt0-{F}(V1,V4,V5), P_sz00-{F}(V6), P_sdtpldt0-{F}(V4,V6,V4) | P_sdtmndt0-{T}(V0,V4,V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1355: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V20, V1 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V15; #1344 ), references = 1, size of lhs = 20:
% 271.55/271.72 aNaturalNumber0-{F}(V0), pppp0-{F}(V0,V1), P_xp-{F}(V1), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V1, aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V3,V2), P_sz10-{F}(V3), P_sdtpldt0-{F}(V3,V0,V4), aNaturalNumber0-{F}(V5), V5 == V1, P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V3,V2,V6), P_xn-{F}(V7), P_xm-{F}(V8), P_sdtasdt0-{F}(V7,V8,V5), P_sz00-{F}(V9), V5 == V9, P_sdtpldt0-{F}(V2,V9,V2) | pppp5-{T}(V0,V1,V9), pppp5-{T}(V0,V1,V3)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1368: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V12, V12 == V19, V1 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V14, V20 == V8; #1356 ), references = 2, size of lhs = 22:
% 271.55/271.72 aNaturalNumber0-{F}(V0), pppp0-{F}(V0,V1), V0 == V1, P_xp-{F}(V1), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V1, aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V3,V2), P_sz10-{F}(V3), P_sdtpldt0-{F}(V3,V0,V4), aNaturalNumber0-{F}(V5), V5 == V1, P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V3,V2,V6), P_xn-{F}(V7), P_xm-{F}(V8), P_sdtasdt0-{F}(V7,V8,V5), P_sz00-{F}(V9), V5 == V9, P_sdtpldt0-{F}(V2,V9,V2), P_sdtpldt0-{F}(V0,V9,V0) | pppp5-{T}(V0,V1,V3)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1465: mergings( V0 == V4, V1 == V5; #1460 ), references = 1, size of lhs = 7:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xp-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xm-{F}(V4) | sdtlseqdt0-{T}(V0,V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1472: exists( #102, #534 ), references = 1, size of lhs = 11:
% 271.55/271.72 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V0,V1,V3), V3 == V2, aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sz00-{F}(V4), V3 == V4, P_sz10-{F}(V5) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1492: mergings( V1 == V4, V4 == V9, V9 == V10, V10 == V13, V13 == V16, V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V6 == V12, V3 == V7, V7 == V17, V17 == V15; #1477 ), references = 1, size of lhs = 6:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_sz10-{F}(V0), P_xn-{F}(V1), P_sz00-{F}(V2), V1 == V2 | P_xp-{T}(V1)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1538: mergings( V1 == V4, V4 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V2 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V6 == V12, V3 == V7, V7 == V21; #1517 ), references = 1, size of lhs = 5:
% 271.55/271.72 P_xm-{F}(V0), aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xn-{F}(V1), P_sz10-{F}(V2) | P_xp-{T}(V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1583: mergings( V4 == V9, V9 == V13, V5 == V10, V10 == V14, V11 == V16, V12 == V14; #1576 ), references = 1, size of lhs = 16:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V0), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V1,V5), P_sdtasdt0-{F}(V1,V3,V5), P_sz00-{F}(V6), P_sz10-{F}(V7), P_xk-{F}(V7), P_xp-{F}(V8), P_sdtpldt0-{F}(V0,V3,V9) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1590: mergings( V3 == V9, V9 == V12, V4 == V10, V10 == V13, V11 == V13; #1584 ), references = 3, size of lhs = 15:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V0), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V1,V5), P_sdtasdt0-{F}(V1,V3,V5), P_sz00-{F}(V6), P_sz10-{F}(V7), P_xk-{F}(V7), P_xp-{F}(V8) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1623: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #1614 ), references = 1, size of lhs = 12:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V2), sdtlseqdt0-{F}(V1,V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3), V2 == V3, aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V2,V3), P_sdtpldt0-{F}(V0,V1,V4), P_sz00-{F}(V5) | P_sdtmndt0-{T}(V2,V1,V5), P_sdtmndt0-{T}(V2,V1,V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1639: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V12, V12 == V14, V1 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V15, V16 == V8; #1626 ), references = 1, size of lhs = 14:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V1, sdtlseqdt0-{F}(V3,V1), aNaturalNumber0-{F}(V4), V4 == V3, P_sdtpldt0-{F}(V4,V0,V1), pppp0-{F}(V4,V3), sdtlseqdt0-{F}(V4,V3), P_sdtpldt0-{F}(V4,V2,V4), P_sdtpldt0-{F}(V0,V4,V5) | P_sdtmndt0-{T}(V3,V4,V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1653: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V12, V12 == V14, V14 == V16, V1 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V15, V15 == V17, V18 == V8; #1627 ), references = 1, size of lhs = 14:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V1, sdtlseqdt0-{F}(V2,V1), aNaturalNumber0-{F}(V3), V3 == V2, pppp0-{F}(V3,V2), P_sdtpldt0-{F}(V3,V0,V1), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V0,V3,V4), P_sz00-{F}(V5), P_sdtpldt0-{F}(V3,V5,V3) | P_sdtmndt0-{T}(V2,V3,V0)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1673: mergings( V3 == V8, V8 == V14, V4 == V9, V9 == V15; #1667 ), references = 2, size of lhs = 20:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_xn-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V2,V3), aNaturalNumber0-{F}(V5), P_xm-{F}(V5), P_sdtasdt0-{F}(V5,V1,V6), P_sdtasdt0-{F}(V1,V5,V6), P_sdtasdt0-{F}(V5,V0,V7), P_sdtasdt0-{F}(V0,V5,V7), P_sdtasdt0-{F}(V5,V4,V8), P_sdtasdt0-{F}(V4,V5,V8), P_sz00-{F}(V9), P_sz10-{F}(V10), P_xk-{F}(V10), P_xp-{F}(V11) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1717: mergings( V3 == V8, V4 == V9; #1712 ), references = 2, size of lhs = 13:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V0), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V1,V4), P_sdtasdt0-{F}(V1,V3,V4), P_sz00-{F}(V5), P_sz10-{F}(V6), P_xk-{F}(V6), P_xp-{F}(V7) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1720: mergings( V3 == V11, V4 == V12; #1713 ), references = 1, size of lhs = 18:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_xn-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V2,V3), aNaturalNumber0-{F}(V5), P_xm-{F}(V5), P_sdtasdt0-{F}(V5,V1,V6), P_sdtasdt0-{F}(V1,V5,V6), P_sdtasdt0-{F}(V5,V0,V7), P_sdtasdt0-{F}(V0,V5,V7), P_sz00-{F}(V8), P_sz10-{F}(V9), P_xk-{F}(V9), P_xp-{F}(V10) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1880: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V23, V23 == V32, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V24, V24 == V26, V25 == V33; #1862 ), references = 1, size of lhs = 33:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), doDivides0-{F}(V2,V1), doDivides0-{F}(V2,V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V0,V1), pppp0-{F}(V4,V5), sdtlseqdt0-{F}(V4,V5), P_xp-{F}(V5), aNaturalNumber0-{F}(V5), P_sdtpldt0-{F}(V5,V0,V3), P_sdtpldt0-{F}(V4,V2,V6), V6 == V5, aNaturalNumber0-{F}(V6), P_sdtpldt0-{F}(V2,V4,V7), aNaturalNumber0-{F}(V8), V8 == V5, aNaturalNumber0-{F}(V9), P_sz10-{F}(V9), P_sdtpldt0-{F}(V6,V9,V8), P_sdtpldt0-{F}(V9,V6,V10), aNaturalNumber0-{F}(V11), V11 == V5, P_sdtpldt0-{F}(V8,V9,V11), P_sdtpldt0-{F}(V9,V8,V12), P_xn-{F}(V13), P_xm-{F}(V14), P_sdtasdt0-{F}(V13,V14,V11), P_sz00-{F}(V15), V11 == V15, P_sdtpldt0-{F}(V8,V15,V8), P_sdtpldt0-{F}(V6,V15,V6) | P_sdtmndt0-{T}(V5,V4,V15), P_sdtmndt0-{T}(V5,V4,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1905: mergings( V0 == V2, V2 == V4, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V22, V22 == V31, V31 == V33, V1 == V3, V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V23, V23 == V25, V25 == V34, V24 == V32, V35 == V18; #1883 ), references = 3, size of lhs = 35:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), doDivides0-{F}(V2,V1), doDivides0-{F}(V2,V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V4,V0,V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), V5 == V4, aNaturalNumber0-{F}(V6), V6 == V4, aNaturalNumber0-{F}(V7), P_sdtpldt0-{F}(V5,V7,V6), P_sz10-{F}(V7), P_sdtpldt0-{F}(V7,V5,V8), aNaturalNumber0-{F}(V9), V9 == V4, P_sdtpldt0-{F}(V6,V7,V9), P_sdtpldt0-{F}(V7,V6,V10), P_xn-{F}(V11), P_xm-{F}(V12), P_sdtasdt0-{F}(V11,V12,V9), P_sz00-{F}(V13), V9 == V13, P_sdtpldt0-{F}(V6,V13,V6), P_sdtpldt0-{F}(V5,V13,V5), aNaturalNumber0-{F}(V14), V14 == V4, P_sdtpldt0-{F}(V14,V0,V1), P_sdtpldt0-{F}(V14,V2,V5), pppp0-{F}(V14,V4), sdtlseqdt0-{F}(V14,V4), P_sdtpldt0-{F}(V14,V13,V14), P_sdtpldt0-{F}(V2,V14,V15) | P_sdtmndt0-{T}(V4,V14,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1928: mergings( V0 == V2, V2 == V4, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V22, V22 == V31, V31 == V33, V33 == V35, V1 == V3, V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V23, V23 == V25, V25 == V34, V34 == V36, V24 == V32, V37 == V18; #1884 ), references = 1, size of lhs = 35:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), doDivides0-{F}(V2,V1), doDivides0-{F}(V2,V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V4,V0,V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), V5 == V4, aNaturalNumber0-{F}(V6), V6 == V4, aNaturalNumber0-{F}(V7), P_sdtpldt0-{F}(V5,V7,V6), P_sz10-{F}(V7), P_sdtpldt0-{F}(V7,V5,V8), aNaturalNumber0-{F}(V9), V9 == V4, P_sdtpldt0-{F}(V6,V7,V9), P_sdtpldt0-{F}(V7,V6,V10), P_xn-{F}(V11), P_xm-{F}(V12), P_sdtasdt0-{F}(V11,V12,V9), aNaturalNumber0-{F}(V13), V13 == V4, P_sdtpldt0-{F}(V13,V0,V1), pppp0-{F}(V13,V4), P_sdtpldt0-{F}(V13,V2,V5), sdtlseqdt0-{F}(V13,V4), P_sdtpldt0-{F}(V2,V13,V14), P_sz00-{F}(V15), V9 == V15, P_sdtpldt0-{F}(V6,V15,V6), P_sdtpldt0-{F}(V5,V15,V5), P_sdtpldt0-{F}(V13,V15,V13) | P_sdtmndt0-{T}(V4,V13,V2)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #1990: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V27, V27 == V28, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V21, V21 == V29, V19 == V31; #1975 ), references = 1, size of lhs = 38:
% 271.55/271.72 aNaturalNumber0-{F}(V0), pppp0-{F}(V0,V1), sdtlseqdt0-{F}(V0,V1), P_xp-{F}(V1), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V1, aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V2,V3,V4), aNaturalNumber0-{F}(V5), doDivides0-{F}(V5,V4), doDivides0-{F}(V5,V6), P_sdtpldt0-{F}(V1,V3,V6), aNaturalNumber0-{F}(V7), V7 == V1, P_sdtpldt0-{F}(V2,V5,V7), aNaturalNumber0-{F}(V8), V8 == V1, aNaturalNumber0-{F}(V9), P_sdtpldt0-{F}(V0,V9,V2), P_sdtpldt0-{F}(V7,V9,V8), P_sz10-{F}(V9), P_sdtpldt0-{F}(V9,V0,V10), P_sdtpldt0-{F}(V9,V7,V11), aNaturalNumber0-{F}(V12), V12 == V1, P_sdtpldt0-{F}(V8,V9,V12), P_sdtpldt0-{F}(V9,V8,V13), P_xn-{F}(V14), P_xm-{F}(V15), P_sdtasdt0-{F}(V14,V15,V12), P_sz00-{F}(V16), V12 == V16, P_sdtpldt0-{F}(V8,V16,V8), P_sdtpldt0-{F}(V7,V16,V7), P_sdtpldt0-{F}(V2,V16,V2), P_sdtpldt0-{F}(V5,V2,V17) | P_sdtmndt0-{T}(V1,V0,V16), P_sdtmndt0-{T}(V1,V0,V9)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2006: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V27, V27 == V28, V28 == V31, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V21, V21 == V29, V29 == V32, V19 == V33; #1976 ), references = 1, size of lhs = 38:
% 271.55/271.72 aNaturalNumber0-{F}(V0), pppp0-{F}(V0,V1), sdtlseqdt0-{F}(V0,V1), P_xp-{F}(V1), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V1, aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V2,V3,V4), aNaturalNumber0-{F}(V5), doDivides0-{F}(V5,V4), doDivides0-{F}(V5,V6), P_sdtpldt0-{F}(V1,V3,V6), aNaturalNumber0-{F}(V7), V7 == V1, P_sdtpldt0-{F}(V2,V5,V7), aNaturalNumber0-{F}(V8), V8 == V1, aNaturalNumber0-{F}(V9), P_sdtpldt0-{F}(V0,V9,V2), P_sdtpldt0-{F}(V7,V9,V8), P_sz10-{F}(V9), P_sdtpldt0-{F}(V9,V0,V10), P_sdtpldt0-{F}(V9,V7,V11), aNaturalNumber0-{F}(V12), V12 == V1, P_sdtpldt0-{F}(V8,V9,V12), P_sdtpldt0-{F}(V9,V8,V13), P_xn-{F}(V14), P_xm-{F}(V15), P_sdtasdt0-{F}(V14,V15,V12), P_sdtpldt0-{F}(V5,V2,V16), P_sz00-{F}(V17), V12 == V17, P_sdtpldt0-{F}(V8,V17,V8), P_sdtpldt0-{F}(V7,V17,V7), P_sdtpldt0-{F}(V2,V17,V2) | P_sdtmndt0-{T}(V1,V0,V17), P_sdtmndt0-{T}(V1,V0,V9)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2027: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V12, V12 == V26, V26 == V27, V27 == V31, V1 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V20, V20 == V28, V28 == V32, V18 == V30, V33 == V8; #2009 ), references = 1, size of lhs = 40:
% 271.55/271.72 P_xp-{F}(V0), aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), V1 == V0, aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V1,V2,V3), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V3), doDivides0-{F}(V4,V5), P_sdtpldt0-{F}(V0,V2,V5), aNaturalNumber0-{F}(V6), V6 == V0, P_sdtpldt0-{F}(V1,V4,V6), aNaturalNumber0-{F}(V7), V7 == V0, aNaturalNumber0-{F}(V8), P_sdtpldt0-{F}(V6,V8,V7), P_sz10-{F}(V8), P_sdtpldt0-{F}(V8,V6,V9), aNaturalNumber0-{F}(V10), V10 == V0, P_sdtpldt0-{F}(V7,V8,V10), P_sdtpldt0-{F}(V8,V7,V11), P_xn-{F}(V12), P_xm-{F}(V13), P_sdtasdt0-{F}(V12,V13,V10), P_sdtpldt0-{F}(V4,V1,V14), P_sz00-{F}(V15), V10 == V15, P_sdtpldt0-{F}(V7,V15,V7), P_sdtpldt0-{F}(V6,V15,V6), P_sdtpldt0-{F}(V1,V15,V1), aNaturalNumber0-{F}(V16), V16 == V0, P_sdtpldt0-{F}(V16,V8,V1), pppp0-{F}(V16,V0), sdtlseqdt0-{F}(V16,V0), P_sdtpldt0-{F}(V16,V15,V16), P_sdtpldt0-{F}(V8,V16,V17) | P_sdtmndt0-{T}(V0,V16,V8)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2046: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V12, V12 == V26, V26 == V27, V27 == V31, V31 == V33, V1 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V20, V20 == V28, V28 == V32, V32 == V34, V18 == V30, V35 == V8; #2010 ), references = 1, size of lhs = 40:
% 271.55/271.72 P_xp-{F}(V0), aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), V1 == V0, aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V1,V2,V3), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V3), doDivides0-{F}(V4,V5), P_sdtpldt0-{F}(V0,V2,V5), aNaturalNumber0-{F}(V6), V6 == V0, P_sdtpldt0-{F}(V1,V4,V6), aNaturalNumber0-{F}(V7), V7 == V0, aNaturalNumber0-{F}(V8), P_sdtpldt0-{F}(V6,V8,V7), P_sz10-{F}(V8), P_sdtpldt0-{F}(V8,V6,V9), aNaturalNumber0-{F}(V10), V10 == V0, P_sdtpldt0-{F}(V7,V8,V10), P_sdtpldt0-{F}(V8,V7,V11), P_xn-{F}(V12), P_xm-{F}(V13), P_sdtasdt0-{F}(V12,V13,V10), P_sdtpldt0-{F}(V4,V1,V14), aNaturalNumber0-{F}(V15), V15 == V0, pppp0-{F}(V15,V0), P_sdtpldt0-{F}(V15,V8,V1), sdtlseqdt0-{F}(V15,V0), P_sdtpldt0-{F}(V8,V15,V16), P_sz00-{F}(V17), V10 == V17, P_sdtpldt0-{F}(V7,V17,V7), P_sdtpldt0-{F}(V6,V17,V6), P_sdtpldt0-{F}(V1,V17,V1), P_sdtpldt0-{F}(V15,V17,V15) | P_sdtmndt0-{T}(V0,V15,V8)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2088: mergings( V3 == V6, V6 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V36, V36 == V37, V37 == V41, V41 == V43, V4 == V7, V7 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V34, V34 == V38, V38 == V42, V42 == V44, V33 == V40, V26 == V48, V47 == V45; #2059 ), references = 1, size of lhs = 48:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V1), aNaturalNumber0-{F}(V4), P_xm-{F}(V4), P_sdtasdt0-{F}(V4,V3,V0), P_sdtasdt0-{F}(V3,V4,V0), P_sdtasdt0-{F}(V4,V2,V5), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V5), aNaturalNumber0-{F}(V6), P_sdtpldt0-{F}(V6,V5,V7), aNaturalNumber0-{F}(V7), P_xp-{F}(V8), V7 == V8, aNaturalNumber0-{F}(V8), aNaturalNumber0-{F}(V9), V9 == V8, aNaturalNumber0-{F}(V10), aNaturalNumber0-{F}(V11), P_sdtpldt0-{F}(V9,V10,V11), aNaturalNumber0-{F}(V12), doDivides0-{F}(V12,V11), doDivides0-{F}(V12,V13), P_sdtpldt0-{F}(V8,V10,V13), aNaturalNumber0-{F}(V14), V14 == V8, P_sdtpldt0-{F}(V9,V12,V14), aNaturalNumber0-{F}(V15), P_sdtpldt0-{F}(V14,V15,V7), P_sdtpldt0-{F}(V15,V6,V0), P_sz10-{F}(V15), P_sdtpldt0-{F}(V15,V14,V16), P_sdtpldt0-{F}(V12,V9,V17), P_sz00-{F}(V18), P_sdtpldt0-{F}(V7,V18,V7), P_sdtpldt0-{F}(V14,V18,V14), P_sdtpldt0-{F}(V9,V18,V9), aNaturalNumber0-{F}(V19), V19 == V8, pppp0-{F}(V19,V8), sdtlseqdt0-{F}(V19,V8), P_sdtpldt0-{F}(V19,V18,V19), P_sdtpldt0-{F}(V19,V15,V9), P_sdtpldt0-{F}(V15,V19,V20) | P_sdtpldt0-{T}(V0,V5,V8), P_sdtpldt0-{T}(V0,V5,V18)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2118: mergings( V3 == V6, V6 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V36, V36 == V37, V37 == V41, V41 == V43, V43 == V48, V4 == V7, V7 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V34, V34 == V38, V38 == V42, V42 == V44, V44 == V49, V33 == V40, V26 == V50, V47 == V45; #2060 ), references = 1, size of lhs = 48:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V1), aNaturalNumber0-{F}(V4), P_xm-{F}(V4), P_sdtasdt0-{F}(V4,V3,V0), P_sdtasdt0-{F}(V3,V4,V0), P_sdtasdt0-{F}(V4,V2,V5), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V5), aNaturalNumber0-{F}(V6), P_sdtpldt0-{F}(V6,V5,V7), aNaturalNumber0-{F}(V7), P_xp-{F}(V8), V7 == V8, aNaturalNumber0-{F}(V8), aNaturalNumber0-{F}(V9), V9 == V8, aNaturalNumber0-{F}(V10), aNaturalNumber0-{F}(V11), P_sdtpldt0-{F}(V9,V10,V11), aNaturalNumber0-{F}(V12), doDivides0-{F}(V12,V11), doDivides0-{F}(V12,V13), P_sdtpldt0-{F}(V8,V10,V13), aNaturalNumber0-{F}(V14), V14 == V8, P_sdtpldt0-{F}(V9,V12,V14), aNaturalNumber0-{F}(V15), P_sdtpldt0-{F}(V14,V15,V7), P_sdtpldt0-{F}(V15,V6,V0), P_sz10-{F}(V15), P_sdtpldt0-{F}(V15,V14,V16), P_sdtpldt0-{F}(V12,V9,V17), aNaturalNumber0-{F}(V18), V18 == V8, pppp0-{F}(V18,V8), sdtlseqdt0-{F}(V18,V8), P_sdtpldt0-{F}(V18,V15,V9), P_sdtpldt0-{F}(V15,V18,V19), P_sz00-{F}(V20), P_sdtpldt0-{F}(V7,V20,V7), P_sdtpldt0-{F}(V14,V20,V14), P_sdtpldt0-{F}(V9,V20,V9), P_sdtpldt0-{F}(V18,V20,V18) | P_sdtpldt0-{T}(V0,V5,V8), P_sdtpldt0-{T}(V0,V5,V20)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2156: mergings( V0 == V4, V4 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V35, V35 == V36, V36 == V40, V40 == V42, V42 == V48, V48 == V53, V1 == V5, V5 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V33, V33 == V37, V37 == V41, V41 == V43, V43 == V49, V49 == V54, V32 == V39, V25 == V47, V3 == V50, V8 == V51, V46 == V44; #2121 ), references = 1, size of lhs = 54:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V0), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V4), aNaturalNumber0-{F}(V4), P_sdtasdt0-{F}(V3,V1,V5), P_sdtasdt0-{F}(V1,V3,V5), aNaturalNumber0-{F}(V5), aNaturalNumber0-{F}(V6), P_sdtpldt0-{F}(V6,V5,V7), aNaturalNumber0-{F}(V7), aNaturalNumber0-{F}(V8), aNaturalNumber0-{F}(V9), aNaturalNumber0-{F}(V10), P_sdtpldt0-{F}(V8,V9,V10), aNaturalNumber0-{F}(V11), doDivides0-{F}(V11,V10), doDivides0-{F}(V11,V12), aNaturalNumber0-{F}(V13), P_sdtpldt0-{F}(V8,V11,V13), aNaturalNumber0-{F}(V14), P_sdtpldt0-{F}(V13,V14,V7), P_sdtpldt0-{F}(V14,V6,V4), P_sz10-{F}(V14), P_sdtpldt0-{F}(V14,V13,V15), P_sdtpldt0-{F}(V11,V8,V16), aNaturalNumber0-{F}(V17), P_sdtpldt0-{F}(V17,V14,V8), pppp0-{F}(V17,V18), V7 == V18, V13 == V18, V17 == V18, V8 == V18, P_sdtpldt0-{F}(V18,V9,V12), sdtlseqdt0-{F}(V17,V18), P_xp-{F}(V18), aNaturalNumber0-{F}(V18), P_sdtpldt0-{F}(V14,V17,V19), P_sdtpldt0-{F}(V0,V3,V20), P_sz00-{F}(V21), P_sdtpldt0-{F}(V7,V21,V7), P_sdtpldt0-{F}(V13,V21,V13), P_sdtpldt0-{F}(V8,V21,V8), P_sdtpldt0-{F}(V17,V21,V17), aNaturalNumber0-{F}(V22), V22 == V14, V22 == V18, doDivides0-{F}(V22,V5), doDivides0-{F}(V22,V4) | P_sdtpldt0-{T}(V4,V5,V21)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2190: mergings( V0 == V4, V4 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V35, V35 == V36, V36 == V40, V40 == V42, V42 == V48, V48 == V52, V1 == V5, V5 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V33, V33 == V37, V37 == V41, V41 == V43, V43 == V49, V49 == V53, V32 == V39, V25 == V47, V3 == V50, V8 == V51, V46 == V44; #2122 ), references = 1, size of lhs = 53:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), P_sdtpldt0-{F}(V5,V4,V6), aNaturalNumber0-{F}(V6), aNaturalNumber0-{F}(V7), aNaturalNumber0-{F}(V8), aNaturalNumber0-{F}(V9), P_sdtpldt0-{F}(V7,V8,V9), aNaturalNumber0-{F}(V10), doDivides0-{F}(V10,V9), doDivides0-{F}(V10,V11), aNaturalNumber0-{F}(V12), P_sdtpldt0-{F}(V7,V10,V12), aNaturalNumber0-{F}(V13), P_sdtpldt0-{F}(V12,V13,V6), P_sdtpldt0-{F}(V13,V5,V3), P_sz10-{F}(V13), P_sdtpldt0-{F}(V13,V12,V14), P_sdtpldt0-{F}(V10,V7,V15), aNaturalNumber0-{F}(V16), P_sdtpldt0-{F}(V16,V13,V7), pppp0-{F}(V16,V17), V6 == V17, V12 == V17, V16 == V17, V7 == V17, P_sdtpldt0-{F}(V17,V8,V11), sdtlseqdt0-{F}(V16,V17), P_xp-{F}(V17), aNaturalNumber0-{F}(V17), P_sdtpldt0-{F}(V13,V16,V18), aNaturalNumber0-{F}(V19), P_sdtasdt0-{F}(V19,V1,V3), P_sdtasdt0-{F}(V1,V19,V3), P_sdtasdt0-{F}(V19,V0,V4), P_sdtasdt0-{F}(V0,V19,V4), P_xm-{F}(V19), P_sz00-{F}(V20), P_sdtpldt0-{F}(V6,V20,V6), P_sdtpldt0-{F}(V12,V20,V12), P_sdtpldt0-{F}(V7,V20,V7), P_sdtpldt0-{F}(V16,V20,V16), aNaturalNumber0-{F}(V21), V21 == V13, V21 == V17, doDivides0-{F}(V21,V4), doDivides0-{F}(V21,V3) | P_sdtpldt0-{T}(V3,V4,V20)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2248: mergings( V3 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V17, V17 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V36, V36 == V43, V43 == V47, V47 == V49, V49 == V56, V56 == V58, V58 == V61, V4 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V18, V18 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V37, V37 == V42, V42 == V44, V44 == V48, V48 == V50, V50 == V57, V57 == V59, V59 == V62, V11 == V46, V35 == V55, V16 == V0, V21 == V1, V54 == V51; #2203 ), references = 1, size of lhs = 49:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V0,V4,V1), P_xn-{F}(V4), aNaturalNumber0-{F}(V5), aNaturalNumber0-{F}(V6), P_sdtasdt0-{F}(V6,V3,V5), P_sdtasdt0-{F}(V3,V6,V5), P_sdtasdt0-{F}(V6,V2,V6), P_sdtasdt0-{F}(V2,V6,V6), P_xm-{F}(V6), aNaturalNumber0-{F}(V7), aNaturalNumber0-{F}(V8), aNaturalNumber0-{F}(V9), P_sdtpldt0-{F}(V7,V8,V9), aNaturalNumber0-{F}(V10), doDivides0-{F}(V10,V9), P_sdtpldt0-{F}(V7,V10,V1), doDivides0-{F}(V10,V11), aNaturalNumber0-{F}(V12), P_sdtpldt0-{F}(V12,V4,V5), P_sdtpldt0-{F}(V12,V0,V6), P_sz10-{F}(V12), P_sdtpldt0-{F}(V10,V7,V13), aNaturalNumber0-{F}(V14), P_sdtpldt0-{F}(V14,V12,V7), pppp0-{F}(V14,V15), V1 == V15, V14 == V15, V7 == V15, P_sdtpldt0-{F}(V15,V8,V11), sdtlseqdt0-{F}(V14,V15), P_xp-{F}(V15), aNaturalNumber0-{F}(V15), P_sdtpldt0-{F}(V12,V14,V16), aNaturalNumber0-{F}(V17), V17 == V12, V17 == V15, doDivides0-{F}(V17,V6), doDivides0-{F}(V17,V5), P_sz00-{F}(V18), V5 == V18, P_sdtpldt0-{F}(V14,V18,V14), P_sdtpldt0-{F}(V1,V18,V1), P_sdtpldt0-{F}(V7,V18,V7) | P_sdtpldt0-{T}(V4,V6,V15)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2292: mergings( V3 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V17, V17 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V36, V36 == V43, V43 == V47, V47 == V49, V49 == V56, V56 == V58, V58 == V61, V4 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V18, V18 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V37, V37 == V42, V42 == V44, V44 == V48, V48 == V50, V50 == V57, V57 == V59, V59 == V62, V11 == V46, V35 == V55, V16 == V0, V21 == V1, V54 == V51; #2204 ), references = 1, size of lhs = 49:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V0,V4,V1), P_xn-{F}(V4), aNaturalNumber0-{F}(V5), aNaturalNumber0-{F}(V6), P_sdtasdt0-{F}(V6,V3,V5), P_sdtasdt0-{F}(V3,V6,V5), P_sdtasdt0-{F}(V6,V2,V6), P_sdtasdt0-{F}(V2,V6,V6), P_xm-{F}(V6), aNaturalNumber0-{F}(V7), aNaturalNumber0-{F}(V8), aNaturalNumber0-{F}(V9), P_sdtpldt0-{F}(V7,V8,V9), aNaturalNumber0-{F}(V10), doDivides0-{F}(V10,V9), P_sdtpldt0-{F}(V7,V10,V1), doDivides0-{F}(V10,V11), aNaturalNumber0-{F}(V12), P_sdtpldt0-{F}(V12,V4,V5), P_sdtpldt0-{F}(V12,V0,V6), P_sz10-{F}(V12), P_sdtpldt0-{F}(V10,V7,V13), aNaturalNumber0-{F}(V14), P_sdtpldt0-{F}(V14,V12,V7), pppp0-{F}(V14,V15), V1 == V15, V14 == V15, V7 == V15, P_sdtpldt0-{F}(V15,V8,V11), sdtlseqdt0-{F}(V14,V15), P_xp-{F}(V15), aNaturalNumber0-{F}(V15), P_sdtpldt0-{F}(V12,V14,V16), aNaturalNumber0-{F}(V17), V17 == V12, V17 == V15, doDivides0-{F}(V17,V6), doDivides0-{F}(V17,V5), P_sz00-{F}(V18), V6 == V18, P_sdtpldt0-{F}(V14,V18,V14), P_sdtpldt0-{F}(V1,V18,V1), P_sdtpldt0-{F}(V7,V18,V7) | P_sdtpldt0-{T}(V4,V6,V15)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2329: exists( #102, #97 ), references = 1, size of lhs = 11:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6), P_xk-{F}(V7), V7 == V0, V7 == V1, P_sdtsldt0-{F}(V6,V4,V8) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2339: mergings( V4 == V9, V9 == V13, V5 == V10, V10 == V14, V11 == V16, V12 == V17; #2332 ), references = 2, size of lhs = 18:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V0), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V1,V5), P_sdtasdt0-{F}(V1,V3,V5), P_sz00-{F}(V6), P_sz10-{F}(V7), P_xp-{F}(V8), P_sdtpldt0-{F}(V0,V3,V9), P_xk-{F}(V10), V10 == V6, V10 == V7 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2348: exists( #102, #2339 ), references = 3, size of lhs = 17:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V0), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V1,V5), P_sdtasdt0-{F}(V1,V3,V5), P_sz00-{F}(V6), P_sz10-{F}(V7), P_xp-{F}(V8), P_xk-{F}(V9), V9 == V6, V9 == V7 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2373: mergings( V3 == V8, V8 == V14, V4 == V9, V9 == V15; #2367 ), references = 2, size of lhs = 22:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_xn-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V2,V3), aNaturalNumber0-{F}(V5), P_xm-{F}(V5), P_sdtasdt0-{F}(V5,V1,V6), P_sdtasdt0-{F}(V1,V5,V6), P_sdtasdt0-{F}(V5,V0,V7), P_sdtasdt0-{F}(V0,V5,V7), P_sdtasdt0-{F}(V5,V4,V8), P_sdtasdt0-{F}(V4,V5,V8), P_sz00-{F}(V9), P_sz10-{F}(V10), P_xp-{F}(V11), P_xk-{F}(V12), V12 == V9, V12 == V10 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2393: mergings( V3 == V8, V4 == V9; #2389 ), references = 1, size of lhs = 15:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V0), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V1,V4), P_sdtasdt0-{F}(V1,V3,V4), P_sz00-{F}(V5), P_sz10-{F}(V6), P_xp-{F}(V7), P_xk-{F}(V8), V8 == V5, V8 == V6 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2396: mergings( V3 == V11, V4 == V12; #2390 ), references = 1, size of lhs = 20:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_xn-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V2,V3), aNaturalNumber0-{F}(V5), P_xm-{F}(V5), P_sdtasdt0-{F}(V5,V1,V6), P_sdtasdt0-{F}(V1,V5,V6), P_sdtasdt0-{F}(V5,V0,V7), P_sdtasdt0-{F}(V0,V5,V7), P_sz00-{F}(V8), P_sz10-{F}(V9), P_xp-{F}(V10), P_xk-{F}(V11), V11 == V8, V11 == V9 | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2401: mergings( V1 == V8, V2 == V9; #2397 ), references = 1, size of lhs = 12:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V0), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V1,V4), P_sdtasdt0-{F}(V1,V3,V4), P_sz00-{F}(V5), P_sz10-{F}(V6), P_xp-{F}(V7) | P_xk-{T}(V5), P_xk-{T}(V6)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2404: mergings( V1 == V11, V2 == V12; #2398 ), references = 1, size of lhs = 17:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_xn-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V2,V3), aNaturalNumber0-{F}(V5), P_xm-{F}(V5), P_sdtasdt0-{F}(V5,V1,V6), P_sdtasdt0-{F}(V1,V5,V6), P_sdtasdt0-{F}(V5,V0,V7), P_sdtasdt0-{F}(V0,V5,V7), P_sz00-{F}(V8), P_sz10-{F}(V9), P_xp-{F}(V10) | P_xk-{T}(V8), P_xk-{T}(V9)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2435: mergings( V3 == V9, V4 == V10, V7 == V5, V6 == V9; #2430 ), references = 2, size of lhs = 9:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_xp-{F}(V1), P_sz00-{F}(V2), P_xk-{F}(V2), P_sz10-{F}(V3), P_xn-{F}(V4), P_xm-{F}(V5), P_sdtpldt0-{F}(V4,V5,V0) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2438: exists( #102, #15 ), references = 1, size of lhs = 12:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V3,V5,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtasdt0-{F}(V2,V5,V8), P_sdtasdt0-{F}(V4,V5,V9) | P_sdtpldt0-{T}(V7,V8,V6)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2439: exists( #102, #16 ), references = 1, size of lhs = 12:
% 271.55/271.72 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V3,V5,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtasdt0-{F}(V2,V5,V8), P_sdtasdt0-{F}(V4,V5,V9) | P_sdtpldt0-{T}(V7,V8,V9)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2452: mergings( V3 == V6, V4 == V7; #2449 ), references = 1, size of lhs = 9:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), P_xp-{F}(V2), P_sz00-{F}(V3), P_xk-{F}(V3), P_sz10-{F}(V4) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2462: mergings( V0 == V10, V10 == V7, V1 == V8, V8 == V11, V11 == V15, V2 == V13, V5 == V12, V9 == V14; #2453 ), references = 1, size of lhs = 13:
% 271.55/271.72 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V0,V3,V4), aNaturalNumber0-{F}(V5), P_xp-{F}(V5), P_sz00-{F}(V6), P_sz10-{F}(V7) | P_xk-{T}(V7)
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2499: mergings( V1 == V4, V4 == V7, V7 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V23, V2 == V5, V5 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V24, V6 == V9, V9 == V21, V3 == V10, V10 == V22; #2477 ), references = 1, size of lhs = 5:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xn-{F}(V1), P_xm-{F}(V2), P_sz10-{F}(V3) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2520: mergings( V1 == V3, V3 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V2 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V5 == V8, V8 == V19; #2500 ), references = 1, size of lhs = 4:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xn-{F}(V1), P_sz10-{F}(V2) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2539: mergings( V1 == V3, V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V2 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #2521 ), references = 1, size of lhs = 3:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2550: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #2541 ), references = 1, size of lhs = 2:
% 271.55/271.72 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 #2555: exists( #100, #2551 ), references = 1, size of lhs = 0:
% 271.55/271.72 FALSE | FALSE
% 271.55/271.72 (used 0 times, uses = {})
% 271.55/271.72
% 271.55/271.72 number of learnt formulas = 109
% 271.55/271.72
% 271.55/271.72
% 271.55/271.72 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 271.55/271.72
% 271.55/271.72 randbase = 1
%------------------------------------------------------------------------------