%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM487+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:12:36 EDT 2022
% Result : Theorem 59.03s 59.21s
% Output : Refutation 59.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM487+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 23:54:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 59.03/59.21 GeoParameters:
% 59.03/59.21
% 59.03/59.21 tptp_input = 1
% 59.03/59.21 tptp_output = 0
% 59.03/59.21 nonempty = 1
% 59.03/59.21 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.03/59.21 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 59.03/59.21
% 59.03/59.21
% 59.03/59.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.03/59.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.03/59.21
% 59.03/59.21 RuleSystem INPUT:
% 59.03/59.21
% 59.03/59.21 Initial Rules:
% 59.03/59.21 #0: input, references = 4, size of lhs = 1:
% 59.03/59.21 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1: input, references = 4, size of lhs = 2:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #2: input, references = 3, size of lhs = 2:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #3: input, references = 7, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #4: input, references = 3, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #5: input, references = 4, size of lhs = 7:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #6: input, references = 3, size of lhs = 10:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #7: input, references = 4, size of lhs = 6:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #8: input, references = 4, size of lhs = 6:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #9: input, references = 4, size of lhs = 7:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #10: input, references = 3, size of lhs = 10:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #11: input, references = 5, size of lhs = 6:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #12: input, references = 3, size of lhs = 6:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #13: input, references = 5, size of lhs = 6:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #14: input, references = 4, size of lhs = 6:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #15: input, references = 4, size of lhs = 15:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #16: input, references = 4, size of lhs = 15:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #17: input, references = 3, size of lhs = 10:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #18: input, references = 3, size of lhs = 10:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #19: input, references = 4, size of lhs = 11:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #20: input, references = 4, size of lhs = 11:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #21: input, references = 3, size of lhs = 6:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #22: input, references = 3, size of lhs = 6:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #23: input, references = 3, size of lhs = 7:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #24: input, references = 8, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #25: input, references = 6, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #26: input, references = 4, size of lhs = 3:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V2,V3,V4)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #27: input, references = 6, size of lhs = 4:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #28: input, references = 4, size of lhs = 3:
% 59.03/59.21 pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #29: input, references = 6, size of lhs = 2:
% 59.03/59.21 pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #30: input, references = 4, size of lhs = 6:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #31: input, references = 5, size of lhs = 8:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #32: input, references = 3, size of lhs = 4:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #33: input, references = 4, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #34: input, references = 5, size of lhs = 4:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #35: input, references = 4, size of lhs = 3:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #36: input, references = 4, size of lhs = 7:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #37: input, references = 3, size of lhs = 7:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #38: input, references = 3, size of lhs = 3:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #39: input, references = 3, size of lhs = 4:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #40: input, references = 3, size of lhs = 11:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #41: input, references = 3, size of lhs = 11:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #42: input, references = 3, size of lhs = 11:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #43: input, references = 3, size of lhs = 11:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #44: input, references = 3, size of lhs = 12:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #45: input, references = 3, size of lhs = 12:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #46: input, references = 3, size of lhs = 12:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #47: input, references = 3, size of lhs = 12:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #48: input, references = 5, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #49: input, references = 3, size of lhs = 6:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #50: input, references = 3, size of lhs = 6:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), V3 == V2 | iLess0-{T}(V3,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #51: input, references = 3, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2) | pppp2-{T}(V3,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #52: input, references = 5, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2) | doDivides0-{T}(V3,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #53: input, references = 3, size of lhs = 3:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp2-{F}(V2,V3) | EXISTS V4: pppp6-{T}(V2,V3,V4)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #54: input, references = 5, size of lhs = 4:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp2-{T}(V2,V5)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #55: input, references = 3, size of lhs = 3:
% 59.03/59.21 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3), V1 == V3 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #56: input, references = 3, size of lhs = 2:
% 59.03/59.21 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #57: input, references = 3, size of lhs = 7:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #58: input, references = 5, size of lhs = 9:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #59: input, references = 3, size of lhs = 4:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #60: input, references = 3, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4), V3 == V5 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #61: input, references = 4, size of lhs = 4:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp3-{T}(V2,V5,V4)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #62: input, references = 3, size of lhs = 7:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #63: input, references = 3, size of lhs = 8:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #64: input, references = 4, size of lhs = 8:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #65: input, references = 3, size of lhs = 6:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V2 == V0 | sdtlseqdt0-{T}(V3,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #66: input, references = 4, size of lhs = 12:
% 59.03/59.21 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
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #67: input, references = 7, size of lhs = 4:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), isPrime0-{F}(V2) | pppp4-{T}(V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #68: input, references = 3, size of lhs = 4:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp4-{F}(V2) | isPrime0-{T}(V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #69: input, references = 5, size of lhs = 3:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V0) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #70: input, references = 4, size of lhs = 3:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V1) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #71: input, references = 5, size of lhs = 7:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V3 == V1, V3 == V2 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #72: input, references = 4, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), #-{F} V2, V2 == V0, V2 == V1 | pppp4-{T}(V2), pppp9-{T}(V2,V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #73: input, references = 3, size of lhs = 1:
% 59.03/59.21 pppp9-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V2,V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #74: input, references = 3, size of lhs = 1:
% 59.03/59.21 pppp7-{F}(V0,V0,V2) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #75: input, references = 3, size of lhs = 1:
% 59.03/59.21 pppp7-{F}(V0,V2,V2) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #76: input, references = 3, size of lhs = 1:
% 59.03/59.21 pppp7-{F}(V0,V1,V2) | doDivides0-{T}(V1,V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #77: input, references = 3, size of lhs = 1:
% 59.03/59.21 pppp7-{F}(V0,V1,V2) | aNaturalNumber0-{T}(V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #78: input, references = 4, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | EXISTS V3: pppp8-{T}(V2,V3)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #79: input, references = 3, size of lhs = 1:
% 59.03/59.21 pppp8-{F}(V0,V1) | isPrime0-{T}(V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #80: input, references = 4, size of lhs = 1:
% 59.03/59.21 pppp8-{F}(V0,V1) | doDivides0-{T}(V1,V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #81: input, references = 4, size of lhs = 1:
% 59.03/59.21 pppp8-{F}(V0,V1) | aNaturalNumber0-{T}(V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #82: input, references = 6, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4) | aNaturalNumber0-{T}(V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #83: input, references = 7, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4) | aNaturalNumber0-{T}(V3)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #84: input, references = 8, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4) | aNaturalNumber0-{T}(V4)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #85: input, references = 3, size of lhs = 16:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #86: input, references = 7, size of lhs = 8:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #87: input, references = 3, size of lhs = 8:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #88: input, references = 13, size of lhs = 8:
% 59.03/59.21 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}(V4,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #89: input, references = 4, size of lhs = 11:
% 59.03/59.21 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_xr-{F}(V8), P_sdtmndt0-{F}(V2,V4,V9), V8 == V9 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #90: input, references = 5, size of lhs = 12:
% 59.03/59.21 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_xr-{F}(V8), P_sdtmndt0-{F}(V2,V4,V9), sdtlseqdt0-{F}(V8,V2), V8 == V2 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #91: input, references = 4, size of lhs = 0:
% 59.03/59.21 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #92: input, references = 4, size of lhs = 0:
% 59.03/59.21 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #93: input, references = 25, size of lhs = 2:
% 59.03/59.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #94: input, references = 15, size of lhs = 2:
% 59.03/59.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #95: input, references = 6, size of lhs = 2:
% 59.03/59.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #96: input, references = 5, size of lhs = 2:
% 59.03/59.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtsldt0-{T}(V0,V1,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #97: input, references = 4, size of lhs = 0:
% 59.03/59.21 FALSE | EXISTS V0: P_xn-{T}(V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #98: input, references = 6, size of lhs = 0:
% 59.03/59.21 FALSE | EXISTS V0: P_xm-{T}(V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #99: input, references = 8, size of lhs = 0:
% 59.03/59.21 FALSE | EXISTS V0: P_xp-{T}(V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #100: input, references = 6, size of lhs = 0:
% 59.03/59.21 FALSE | EXISTS V0: P_xr-{T}(V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 number of initial rules = 101
% 59.03/59.21
% 59.03/59.21 Simplifiers:
% 59.03/59.21 #101: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #102: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #103: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #104: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #105: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #106: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 P_sdtsldt0-{F}(V0,V1,V2), P_sdtsldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #107: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #108: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #109: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 P_xp-{F}(V0), P_xp-{F}(V1), V0 == V1 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #110: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 P_xr-{F}(V0), P_xr-{F}(V1), V0 == V1 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #111: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #112: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #113: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V2), V1 == V4 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #114: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V2 == V5 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #115: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #116: unsound, references = 3, size of lhs = 3:
% 59.03/59.21 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V1 == V3 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 number of simplifiers = 16
% 59.03/59.21
% 59.03/59.21 Learnt:
% 59.03/59.21 #119: exists( #95, #31 ), references = 2, size of lhs = 6:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #123: exists( #93, #7 ), references = 1, size of lhs = 5:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #125: mergings( V4 == V1; #122 ), references = 4, size of lhs = 4:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2) | P_sdtpldt0-{T}(V0,V2,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #127: exists( #93, #121 ), references = 7, size of lhs = 3:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #130: exists( #94, #13 ), references = 1, size of lhs = 3:
% 59.03/59.21 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #133: exists( #94, #11 ), references = 1, size of lhs = 3:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #145: mergings( V3 == V8, V8 == V10, V4 == V1, V1 == V9; #140 ), references = 1, size of lhs = 8:
% 59.03/59.21 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sz10-{F}(V2), P_sdtpldt0-{F}(V0,V1,V3), P_sdtasdt0-{F}(V0,V1,V4), P_sz00-{F}(V5) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #151: mergings( V3 == V7, V7 == V9, V4 == V5, V5 == V8; #146 ), references = 2, size of lhs = 7:
% 59.03/59.21 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sz10-{F}(V2), P_sdtpldt0-{F}(V0,V1,V3), P_sz00-{F}(V4) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #156: exists( #96, #58 ), references = 1, size of lhs = 7:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #160: exists( #94, #14 ), references = 3, size of lhs = 4:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3) | P_sdtasdt0-{T}(V0,V2,V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #161: exists( #94, #9 ), references = 9, size of lhs = 5:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #163: exists( #93, #151 ), references = 1, size of lhs = 6:
% 59.03/59.21 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sz10-{F}(V2), P_sz00-{F}(V3) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #174: mergings( V3 == V1, V4 == V5; #169 ), references = 4, size of lhs = 4:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #195: mergings( V3 == V8, V4 == V9; #192 ), references = 4, size of lhs = 11:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V2), sdtlseqdt0-{F}(V0,V2), P_sdtpldt0-{F}(V0,V1,V3), P_sdtasdt0-{F}(V0,V1,V4), P_sz00-{F}(V5), P_sz10-{F}(V6) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #232: mergings( V1 == V4, V4 == V11, V11 == V15, V15 == V18, V18 == V20, V2 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V19, V19 == V21, V3 == V6, V6 == V20, V7 == V17; #213 ), references = 1, size of lhs = 5:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xm-{F}(V1), P_sz10-{F}(V2) | P_xp-{T}(V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #282: mergings( V1 == V4, V4 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V24, V24 == V27, V27 == V29, V2 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V26, V26 == V28, V28 == V30, V30 == V31, V3 == V6, V6 == V21, V21 == V29; #251 ), references = 1, size of lhs = 4:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #284: exists( #93, #90 ), references = 5, size of lhs = 11:
% 59.03/59.21 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_xr-{F}(V7), V7 == V2, sdtlseqdt0-{F}(V7,V2), P_sdtmndt0-{F}(V2,V4,V8) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #286: exists( #93, #89 ), references = 3, size of lhs = 10:
% 59.03/59.21 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_xr-{F}(V7), P_sdtmndt0-{F}(V2,V4,V8), V7 == V8 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #288: exists( #100, #285 ), references = 1, size of lhs = 8:
% 59.03/59.21 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_sdtmndt0-{F}(V2,V4,V7) | P_xr-{T}(V7)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #315: mergings( V3 == V5, V4 == V1; #311 ), references = 5, size of lhs = 4:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #324: exists( #93, #5 ), references = 7, size of lhs = 5:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #327: exists( #95, #284 ), references = 4, size of lhs = 10:
% 59.03/59.21 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_xr-{F}(V7), V7 == V2, sdtlseqdt0-{F}(V7,V2) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #353: exists( #95, #286 ), references = 7, size of lhs = 8:
% 59.03/59.21 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_xr-{F}(V7) | P_sdtmndt0-{T}(V2,V4,V7)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #384: mergings( V3 == V5, V5 == V10, V10 == V12, V4 == V6, V6 == V11, V11 == V13; #377 ), references = 1, size of lhs = 11:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_xn-{F}(V1), aNaturalNumber0-{F}(V1), P_xm-{F}(V2), P_sdtpldt0-{F}(V1,V2,V0), P_xp-{F}(V3), aNaturalNumber0-{F}(V3), P_sdtmndt0-{F}(V1,V3,V0), P_sdtasdt0-{F}(V1,V2,V4), P_sz00-{F}(V5), P_sz10-{F}(V6) | P_sdtpldt0-{T}(V0,V3,V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #422: mergings( V3 == V5, V4 == V6; #418 ), references = 4, size of lhs = 13:
% 59.03/59.21 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}(V5,V0,V8)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #425: mergings( V3 == V5, V4 == V6; #419 ), references = 1, size of lhs = 13:
% 59.03/59.21 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}(V5,V0,V11)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #480: mergings( V0 == V4, V1 == V5; #477 ), references = 1, size of lhs = 6:
% 59.03/59.21 aNaturalNumber0-{F}(V0), pppp4-{F}(V0), P_sz00-{F}(V1), V0 == V1, P_sz10-{F}(V2), V0 == V2 | pppp8-{T}(V0,V2), pppp8-{T}(V0,V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #505: exists( #96, #66 ), references = 1, size of lhs = 10:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #543: mergings( V0 == V3, V1 == V4; #540 ), references = 1, size of lhs = 8:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V1, doDivides0-{F}(V2,V3), V3 == V0, V3 == V1, V2 == V3 | pppp9-{T}(V3,V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #580: exists( #93, #28 ), references = 7, size of lhs = 1:
% 59.03/59.21 pppp5-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #640: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #635 ), references = 6, size of lhs = 7:
% 59.03/59.21 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)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #700: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #691 ), references = 1, size of lhs = 15:
% 59.03/59.21 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aNaturalNumber0-{F}(V4), V4 == V2, P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtpldt0-{F}(V5,V6,V7), aNaturalNumber0-{F}(V7), doDivides0-{F}(V4,V7), P_sdtasdt0-{F}(V1,V4,V8), P_sdtasdt0-{F}(V0,V4,V9), P_sdtpldt0-{F}(V8,V9,V10), P_sdtsldt0-{F}(V7,V4,V11) | P_sdtpldt0-{T}(V1,V0,V11)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #707: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #692 ), references = 1, size of lhs = 15:
% 59.03/59.21 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aNaturalNumber0-{F}(V4), V4 == V2, P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtpldt0-{F}(V5,V6,V7), P_sdtasdt0-{F}(V1,V4,V8), P_sdtasdt0-{F}(V0,V4,V9), P_sdtpldt0-{F}(V8,V9,V10), aNaturalNumber0-{F}(V11), P_sdtasdt0-{F}(V4,V11,V7), P_sdtasdt0-{F}(V11,V4,V12) | P_sdtpldt0-{T}(V1,V0,V11)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #714: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #693 ), references = 1, size of lhs = 15:
% 59.03/59.21 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aNaturalNumber0-{F}(V4), V4 == V2, P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtpldt0-{F}(V5,V6,V7), P_sdtasdt0-{F}(V1,V4,V8), P_sdtasdt0-{F}(V0,V4,V9), P_sdtpldt0-{F}(V8,V9,V10), aNaturalNumber0-{F}(V11), P_sdtasdt0-{F}(V11,V4,V7), P_sdtasdt0-{F}(V4,V11,V12) | P_sdtpldt0-{T}(V1,V0,V11)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #743: mergings( V3 == V6, V4 == V7, V5 == V10, V0 == V12, V9 == V13, V1 == V11; #734 ), references = 2, size of lhs = 9:
% 59.03/59.21 P_xr-{F}(V0), P_xp-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), P_xn-{F}(V3), V0 == V3, P_xm-{F}(V4), P_sdtpldt0-{F}(V3,V4,V5), P_sdtasdt0-{F}(V3,V4,V6) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #748: mergings( V3 == V6, V4 == V7, V5 == V10, V9 == V11; #736 ), references = 1, size of lhs = 10:
% 59.03/59.21 P_xr-{F}(V0), P_xp-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), P_xn-{F}(V3), V0 == V3, P_xm-{F}(V4), P_sdtpldt0-{F}(V3,V4,V5), P_sdtasdt0-{F}(V3,V4,V6), P_sdtmndt0-{F}(V3,V0,V7) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #755: mergings( V3 == V6, V4 == V7, V5 == V10, V0 == V12, V9 == V13, V1 == V11; #735 ), references = 1, size of lhs = 10:
% 59.03/59.21 P_xr-{F}(V0), P_xp-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), P_xn-{F}(V3), V0 == V3, P_xm-{F}(V4), P_sdtpldt0-{F}(V3,V4,V5), P_sdtasdt0-{F}(V3,V4,V6), P_sdtmndt0-{F}(V3,V0,V7) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #803: mergings( V3 == V8, V8 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V4 == V9, V9 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V5 == V10, V6 == V11, V7 == V12; #785 ), references = 4, size of lhs = 16:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), P_sdtpldt0-{F}(V0,V1,V2), P_xp-{F}(V3), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V0,V1,V4), P_sdtmndt0-{F}(V0,V3,V5), aNaturalNumber0-{F}(V5), P_sz00-{F}(V6), P_sz10-{F}(V7), aNaturalNumber0-{F}(V8), V8 == V7, V8 == V3, doDivides0-{F}(V8,V5), doDivides0-{F}(V8,V0) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #868: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17, V17 == V19, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V20, V5 == V21, V0 == V23, V15 == V24, V1 == V22; #849 ), references = 2, size of lhs = 13:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_xp-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), P_sdtmndt0-{F}(V1,V0,V2), V2 == V1, aNaturalNumber0-{F}(V2), P_xr-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_xm-{F}(V5), P_sdtpldt0-{F}(V1,V5,V6), P_sdtasdt0-{F}(V1,V5,V7) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #886: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17, V17 == V19, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V20, V5 == V21, V0 == V23, V15 == V24, V1 == V22, V16 == V25; #850 ), references = 2, size of lhs = 13:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_xp-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V1, P_xr-{F}(V2), P_sdtmndt0-{F}(V1,V0,V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_xm-{F}(V5), P_sdtpldt0-{F}(V1,V5,V6), P_sdtasdt0-{F}(V1,V5,V7) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #925: mergings( V3 == V8, V8 == V10, V10 == V15, V4 == V9, V9 == V11, V11 == V16, V5 == V14, V6 == V17, V0 == V18, V7 == V19, V1 == V13; #912 ), references = 2, size of lhs = 12:
% 59.03/59.21 P_xr-{F}(V0), aNaturalNumber0-{F}(V1), P_xp-{F}(V1), aNaturalNumber0-{F}(V2), V0 == V2, P_xn-{F}(V2), P_sdtmndt0-{F}(V2,V1,V0), P_sz00-{F}(V3), P_sz10-{F}(V4), P_xm-{F}(V5), P_sdtpldt0-{F}(V2,V5,V6), P_sdtasdt0-{F}(V2,V5,V7) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #937: mergings( V3 == V8, V8 == V10, V10 == V15, V4 == V9, V9 == V11, V11 == V16, V5 == V14, V6 == V17, V0 == V18, V7 == V19, V1 == V13; #913 ), references = 1, size of lhs = 12:
% 59.03/59.21 P_xr-{F}(V0), aNaturalNumber0-{F}(V1), P_xp-{F}(V1), aNaturalNumber0-{F}(V2), V0 == V2, P_xn-{F}(V2), P_sdtmndt0-{F}(V2,V1,V0), P_sz00-{F}(V3), P_sz10-{F}(V4), P_xm-{F}(V5), P_sdtpldt0-{F}(V2,V5,V6), P_sdtasdt0-{F}(V2,V5,V7) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #956: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V17, V2 == V5, V5 == V8, V8 == V10, V10 == V18, V3 == V6, V13 == V15, V14 == V16, V6 == V19, V15 == V20, V16 == V21; #940 ), references = 4, size of lhs = 9:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_xp-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xm-{F}(V4), P_sdtpldt0-{F}(V1,V4,V5), P_sdtasdt0-{F}(V1,V4,V6) | P_xr-{T}(V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #971: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V17, V2 == V5, V5 == V8, V8 == V10, V10 == V18, V3 == V6, V13 == V15, V14 == V16, V6 == V19, V15 == V20, V16 == V21; #941 ), references = 1, size of lhs = 9:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_xp-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xm-{F}(V4), P_sdtpldt0-{F}(V1,V4,V5), P_sdtasdt0-{F}(V1,V4,V6) | P_xr-{T}(V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1010: mergings( V1 == V4, V4 == V9, V9 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V2 == V5, V5 == V8, V8 == V10, V10 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V6 == V29, V3 == V7, V7 == V30; #981 ), references = 1, size of lhs = 7:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), P_xn-{F}(V2), V2 == V1 | P_xp-{T}(V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1044: exists( #94, #803 ), references = 2, size of lhs = 15:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), P_sdtpldt0-{F}(V0,V1,V2), P_xp-{F}(V3), aNaturalNumber0-{F}(V3), P_sdtmndt0-{F}(V0,V3,V4), aNaturalNumber0-{F}(V4), P_sz00-{F}(V5), P_sz10-{F}(V6), aNaturalNumber0-{F}(V7), V7 == V6, V7 == V3, doDivides0-{F}(V7,V4), doDivides0-{F}(V7,V0) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1046: exists( #93, #1043 ), references = 2, size of lhs = 14:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtmndt0-{F}(V0,V2,V3), aNaturalNumber0-{F}(V3), P_sz00-{F}(V4), P_sz10-{F}(V5), aNaturalNumber0-{F}(V6), V6 == V5, V6 == V2, doDivides0-{F}(V6,V3), doDivides0-{F}(V6,V0) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1058: exists( #94, #286 ), references = 1, size of lhs = 9:
% 59.03/59.21 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_xr-{F}(V6), P_sdtmndt0-{F}(V2,V4,V7), V6 == V7 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1060: exists( #93, #1057 ), references = 1, size of lhs = 8:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_xr-{F}(V5), P_sdtmndt0-{F}(V2,V4,V6), V5 == V6 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1062: exists( #100, #1059 ), references = 2, size of lhs = 6:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtmndt0-{F}(V2,V4,V5) | P_xr-{T}(V5)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1068: exists( #94, #327 ), references = 1, size of lhs = 9:
% 59.03/59.21 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_xr-{F}(V6), V6 == V2, sdtlseqdt0-{F}(V6,V2) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1069: exists( #94, #284 ), references = 1, size of lhs = 10:
% 59.03/59.21 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_xr-{F}(V6), V6 == V2, sdtlseqdt0-{F}(V6,V2), P_sdtmndt0-{F}(V2,V4,V7) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1070: exists( #94, #925 ), references = 1, size of lhs = 11:
% 59.03/59.21 P_xr-{F}(V0), aNaturalNumber0-{F}(V1), P_xp-{F}(V1), aNaturalNumber0-{F}(V2), V0 == V2, P_xn-{F}(V2), P_sdtmndt0-{F}(V2,V1,V0), P_sz00-{F}(V3), P_sz10-{F}(V4), P_xm-{F}(V5), P_sdtpldt0-{F}(V2,V5,V6) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1074: exists( #93, #1065 ), references = 1, size of lhs = 8:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_xr-{F}(V5), V5 == V2, sdtlseqdt0-{F}(V5,V2) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1075: exists( #93, #1066 ), references = 1, size of lhs = 9:
% 59.03/59.21 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_xr-{F}(V5), V5 == V2, sdtlseqdt0-{F}(V5,V2), P_sdtmndt0-{F}(V2,V4,V6) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1076: exists( #93, #1067 ), references = 2, size of lhs = 10:
% 59.03/59.21 P_xr-{F}(V0), aNaturalNumber0-{F}(V1), P_xp-{F}(V1), aNaturalNumber0-{F}(V2), V0 == V2, P_xn-{F}(V2), P_sdtmndt0-{F}(V2,V1,V0), P_sz00-{F}(V3), P_sz10-{F}(V4), P_xm-{F}(V5) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1102: exists( #94, #743 ), references = 1, size of lhs = 8:
% 59.03/59.21 P_xr-{F}(V0), P_xp-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), P_xn-{F}(V3), V0 == V3, P_xm-{F}(V4), P_sdtpldt0-{F}(V3,V4,V5) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1104: exists( #93, #1101 ), references = 1, size of lhs = 7:
% 59.03/59.21 P_xr-{F}(V0), P_xp-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), P_xn-{F}(V3), V0 == V3, P_xm-{F}(V4) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1121: mergings( V4 == V7, V7 == V12, V5 == V8, V8 == V13, V6 == V9, V1 == V10, V3 == V11; #1111 ), references = 1, size of lhs = 12:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), P_sdtpldt0-{F}(V0,V1,V2), P_xp-{F}(V3), aNaturalNumber0-{F}(V3), P_sz00-{F}(V4), P_sz10-{F}(V5), aNaturalNumber0-{F}(V6), V6 == V5, V6 == V3, doDivides0-{F}(V6,V0) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1129: mergings( V4 == V7, V7 == V12, V5 == V8, V8 == V13, V6 == V9, V9 == V10, V3 == V11; #1113 ), references = 1, size of lhs = 12:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), P_sdtpldt0-{F}(V0,V1,V2), P_xp-{F}(V3), aNaturalNumber0-{F}(V3), P_sz00-{F}(V4), P_sz10-{F}(V5), aNaturalNumber0-{F}(V6), V6 == V5, V6 == V3, doDivides0-{F}(V6,V0) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1138: mergings( V4 == V7, V7 == V13, V5 == V8, V8 == V14, V6 == V9, V1 == V10, V9 == V11, V3 == V12; #1112 ), references = 1, size of lhs = 12:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), P_sdtpldt0-{F}(V0,V1,V2), P_xp-{F}(V3), aNaturalNumber0-{F}(V3), P_sz00-{F}(V4), P_sz10-{F}(V5), aNaturalNumber0-{F}(V6), V6 == V5, V6 == V3, doDivides0-{F}(V6,V0) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1147: mergings( V4 == V6, V6 == V9, V5 == V7, V7 == V10, V3 == V8; #1140 ), references = 1, size of lhs = 11:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), 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,V0) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1153: mergings( V4 == V6, V6 == V9, V5 == V7, V7 == V10, V3 == V8; #1141 ), references = 1, size of lhs = 11:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), 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,V0) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1160: mergings( V4 == V6, V6 == V10, V5 == V7, V7 == V11, V1 == V8, V3 == V9; #1139 ), references = 1, size of lhs = 11:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), 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,V0) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1196: mergings( V1 == V4, V4 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V6 == V18, V3 == V7, V7 == V19; #1176 ), references = 1, size of lhs = 6:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xn-{F}(V1), V1 == V0, P_xm-{F}(V2), P_sz00-{F}(V3) | P_xp-{T}(V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1284: mergings( V1 == V3, V3 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V32, V5 == V30; #1252 ), references = 1, size of lhs = 7:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), P_xn-{F}(V2), V2 == V0, V1 == V2 | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1362: mergings( V1 == V3, V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V2 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30; #1331 ), references = 1, size of lhs = 4:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1) | P_xn-{T}(V0), P_xn-{T}(V1)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1439: mergings( V0 == V2, V2 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V20, V1 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V30; #1409 ), references = 1, size of lhs = 4:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1) | P_xn-{T}(V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1451: mergings( V1 == V5, V5 == V10, V2 == V6, V6 == V11, V3 == V11, V4 == V7; #1444 ), references = 1, size of lhs = 7:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xm-{F}(V1), P_sdtpldt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V3), P_sz00-{F}(V4) | P_xp-{T}(V4), P_xp-{T}(V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1464: mergings( V0 == V4, V4 == V9, V9 == V13, V1 == V5, V5 == V10, V2 == V10, V10 == V11, V3 == V6, V6 == V12; #1452 ), references = 1, size of lhs = 7:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xn-{F}(V0), P_xm-{F}(V1), P_sdtpldt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V3), P_sz00-{F}(V4) | P_xp-{T}(V4)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1475: mergings( V0 == V4, V4 == V9, V9 == V14, V1 == V5, V5 == V10, V2 == V10, V10 == V11, V3 == V6, V6 == V12, V7 == V13; #1453 ), references = 1, size of lhs = 7:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xn-{F}(V0), P_xm-{F}(V1), P_sdtasdt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V3), P_sz00-{F}(V4) | P_xp-{T}(V4)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1487: mergings( V0 == V4, V4 == V9, V9 == V15, V1 == V5, V5 == V10, V2 == V10, V10 == V11, V3 == V6, V6 == V12, V7 == V13, V8 == V14; #1454 ), references = 1, size of lhs = 7:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xn-{F}(V0), P_xm-{F}(V1), P_sdtpldt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V3), P_sz00-{F}(V4) | P_xp-{T}(V4)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1521: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V14; #1510 ), references = 2, size of lhs = 9:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sz00-{F}(V2), P_sdtasdt0-{F}(V0,V1,V3), P_sz10-{F}(V4) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1531: mergings( V3 == V7, V4 == V8; #1528 ), references = 1, size of lhs = 11:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_xn-{F}(V1), aNaturalNumber0-{F}(V1), P_xp-{F}(V2), V2 == V1, aNaturalNumber0-{F}(V2), sdtlseqdt0-{F}(V1,V2), P_sdtasdt0-{F}(V1,V0,V3), P_sz00-{F}(V4), P_sz10-{F}(V5) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1552: mergings( V1 == V4, V4 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V16, V2 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V17, V3 == V6, V6 == V17, V7 == V15; #1537 ), references = 1, size of lhs = 5:
% 59.03/59.21 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xm-{F}(V1), P_sz00-{F}(V2) | P_xp-{T}(V2), P_xp-{T}(V0)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1571: mergings( V0 == V3, V3 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V19, V1 == V4, V4 == V9, V9 == V11, V11 == V13, V13 == V16, V2 == V5, V5 == V16, V16 == V17, V6 == V14, V14 == V18; #1553 ), references = 1, size of lhs = 5:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xn-{F}(V0), P_xm-{F}(V1), P_sz00-{F}(V2) | P_xp-{T}(V2)
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1600: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V17, V17 == V21, V21 == V22, V22 == V24, V2 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V20, V20 == V23, V23 == V25, V3 == V6, V6 == V15, V15 == V19, V19 == V25; #1576 ), references = 1, size of lhs = 5:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1630: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27; #1603 ), references = 1, size of lhs = 2:
% 59.03/59.21 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 #1633: exists( #91, #1631 ), references = 1, size of lhs = 0:
% 59.03/59.21 FALSE | FALSE
% 59.03/59.21 (used 0 times, uses = {})
% 59.03/59.21
% 59.03/59.21 number of learnt formulas = 79
% 59.03/59.21
% 59.03/59.21
% 59.03/59.21 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.03/59.21
% 59.03/59.21 randbase = 1
%------------------------------------------------------------------------------