%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM467+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:12:33 EDT 2022
% Result : Theorem 130.66s 130.90s
% Output : Refutation 130.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM467+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 23:54:37 EDT 2022
% 0.11/0.33 % CPUTime :
% 130.66/130.90 GeoParameters:
% 130.66/130.90
% 130.66/130.90 tptp_input = 1
% 130.66/130.90 tptp_output = 0
% 130.66/130.90 nonempty = 1
% 130.66/130.90 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 130.66/130.90 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 130.66/130.90
% 130.66/130.90
% 130.66/130.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 130.66/130.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 130.66/130.90
% 130.66/130.90 RuleSystem INPUT:
% 130.66/130.90
% 130.66/130.90 Initial Rules:
% 130.66/130.90 #0: input, references = 4, size of lhs = 1:
% 130.66/130.90 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #1: input, references = 3, size of lhs = 2:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #2: input, references = 3, size of lhs = 2:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #3: input, references = 12, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #4: input, references = 3, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #5: input, references = 4, size of lhs = 7:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #6: input, references = 4, size of lhs = 10:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #7: input, references = 5, size of lhs = 6:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #8: input, references = 4, size of lhs = 6:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #9: input, references = 4, size of lhs = 7:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #10: input, references = 3, size of lhs = 10:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #11: input, references = 4, size of lhs = 6:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #12: input, references = 3, size of lhs = 6:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #13: input, references = 5, size of lhs = 6:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #14: input, references = 3, size of lhs = 6:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #15: input, references = 5, size of lhs = 15:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #16: input, references = 5, size of lhs = 15:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #17: input, references = 3, size of lhs = 10:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #18: input, references = 3, size of lhs = 10:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #19: input, references = 3, size of lhs = 11:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #20: input, references = 3, size of lhs = 11:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #21: input, references = 4, size of lhs = 6:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #22: input, references = 3, size of lhs = 6:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #23: input, references = 3, size of lhs = 7:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #24: input, references = 4, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #25: input, references = 4, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #26: input, references = 4, size of lhs = 3:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp4-{T}(V2,V3,V4)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #27: input, references = 4, size of lhs = 4:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #28: input, references = 5, size of lhs = 3:
% 130.66/130.90 pppp4-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #29: input, references = 5, size of lhs = 2:
% 130.66/130.90 pppp4-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #30: input, references = 5, size of lhs = 6:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #31: input, references = 5, size of lhs = 8:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #32: input, references = 3, size of lhs = 4:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #33: input, references = 6, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #34: input, references = 4, size of lhs = 4:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #35: input, references = 3, size of lhs = 3:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #36: input, references = 5, size of lhs = 7:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #37: input, references = 3, size of lhs = 7:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #38: input, references = 3, size of lhs = 3:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #39: input, references = 3, size of lhs = 4:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #40: input, references = 3, size of lhs = 11:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #41: input, references = 6, size of lhs = 11:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #42: input, references = 3, size of lhs = 11:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #43: input, references = 3, size of lhs = 11:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #44: input, references = 3, size of lhs = 12:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #45: input, references = 3, size of lhs = 12:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #46: input, references = 3, size of lhs = 12:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #47: input, references = 3, size of lhs = 12:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #48: input, references = 4, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #49: input, references = 4, size of lhs = 6:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #50: input, references = 3, size of lhs = 6:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), V3 == V2 | iLess0-{T}(V3,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #51: input, references = 3, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2) | pppp2-{T}(V3,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #52: input, references = 7, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2) | doDivides0-{T}(V3,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #53: input, references = 3, size of lhs = 3:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp2-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V2,V3,V4)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #54: input, references = 7, size of lhs = 4:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp2-{T}(V2,V5)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #55: input, references = 3, size of lhs = 3:
% 130.66/130.90 pppp5-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3), V1 == V3 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #56: input, references = 3, size of lhs = 2:
% 130.66/130.90 pppp5-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #57: input, references = 10, size of lhs = 7:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #58: input, references = 4, size of lhs = 9:
% 130.66/130.90 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
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #59: input, references = 9, size of lhs = 4:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #60: input, references = 5, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4), V3 == V5 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #61: input, references = 3, size of lhs = 4:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp3-{T}(V2,V5,V4)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #62: input, references = 5, size of lhs = 7:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #63: input, references = 5, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #64: input, references = 5, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V3)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #65: input, references = 7, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V4)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #66: input, references = 5, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | doDivides0-{T}(V2,V3)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #67: input, references = 6, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | doDivides0-{T}(V2,V4)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #68: input, references = 6, size of lhs = 7:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4), P_sdtpldt0-{F}(V3,V4,V5), doDivides0-{F}(V2,V5) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #69: input, references = 4, size of lhs = 0:
% 130.66/130.90 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #70: input, references = 4, size of lhs = 0:
% 130.66/130.90 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #71: input, references = 17, size of lhs = 2:
% 130.66/130.90 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #72: input, references = 9, size of lhs = 2:
% 130.66/130.90 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #73: input, references = 5, size of lhs = 2:
% 130.66/130.90 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #74: input, references = 7, size of lhs = 2:
% 130.66/130.90 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtsldt0-{T}(V0,V1,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #75: input, references = 4, size of lhs = 0:
% 130.66/130.90 FALSE | EXISTS V0: P_xl-{T}(V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #76: input, references = 5, size of lhs = 0:
% 130.66/130.90 FALSE | EXISTS V0: P_xm-{T}(V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #77: input, references = 7, size of lhs = 0:
% 130.66/130.90 FALSE | EXISTS V0: P_xn-{T}(V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 number of initial rules = 78
% 130.66/130.90
% 130.66/130.90 Simplifiers:
% 130.66/130.90 #78: unsound, references = 3, size of lhs = 3:
% 130.66/130.90 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #79: unsound, references = 3, size of lhs = 3:
% 130.66/130.90 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #80: unsound, references = 3, size of lhs = 3:
% 130.66/130.90 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #81: unsound, references = 3, size of lhs = 3:
% 130.66/130.90 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #82: unsound, references = 3, size of lhs = 3:
% 130.66/130.90 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #83: unsound, references = 3, size of lhs = 3:
% 130.66/130.90 P_sdtsldt0-{F}(V0,V1,V2), P_sdtsldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #84: unsound, references = 3, size of lhs = 3:
% 130.66/130.90 P_xl-{F}(V0), P_xl-{F}(V1), V0 == V1 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #85: unsound, references = 3, size of lhs = 3:
% 130.66/130.90 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #86: unsound, references = 3, size of lhs = 3:
% 130.66/130.90 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #87: unsound, references = 3, size of lhs = 3:
% 130.66/130.90 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #88: unsound, references = 3, size of lhs = 3:
% 130.66/130.90 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 number of simplifiers = 11
% 130.66/130.90
% 130.66/130.90 Learnt:
% 130.66/130.90 #92: exists( #74, #58 ), references = 1, size of lhs = 7:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #94: exists( #71, #33 ), references = 1, size of lhs = 3:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp1-{F}(V2,V3,V4) | P_sdtpldt0-{T}(V2,V4,V3)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #97: exists( #71, #8 ), references = 2, size of lhs = 4:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3) | P_sdtpldt0-{T}(V0,V2,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #98: exists( #71, #5 ), references = 4, size of lhs = 5:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #101: exists( #71, #7 ), references = 1, size of lhs = 3:
% 130.66/130.90 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #104: exists( #72, #13 ), references = 1, size of lhs = 3:
% 130.66/130.90 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #120: mergings( V3 == V1, V4 == V5; #115 ), references = 2, size of lhs = 4:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #126: exists( #72, #13 ), references = 1, size of lhs = 5:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #127: exists( #72, #9 ), references = 15, size of lhs = 5:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #129: exists( #72, #125 ), references = 2, size of lhs = 3:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #138: exists( #73, #31 ), references = 1, size of lhs = 6:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #154: mergings( V1 == V5, V5 == V8, V8 == V11, V2 == V6, V6 == V9, V9 == V10, V10 == V12, V3 == V13, V4 == V7, V7 == V11; #143 ), references = 2, size of lhs = 5:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #166: mergings( V3 == V5, V4 == V1; #162 ), references = 3, size of lhs = 4:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #186: mergings( V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V4 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17; #173 ), references = 1, size of lhs = 10:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), P_xl-{F}(V3), P_sz00-{F}(V4) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #232: exists( #71, #6 ), references = 1, size of lhs = 8:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #239: exists( #71, #28 ), references = 3, size of lhs = 1:
% 130.66/130.90 pppp4-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #314: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #309 ), references = 3, size of lhs = 7:
% 130.66/130.90 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) | pppp4-{T}(V3,V2,V4)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #346: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #337 ), references = 1, size of lhs = 12:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #361: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V12, V12 == V14, V1 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V15; #349 ), references = 2, size of lhs = 14:
% 130.66/130.90 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), P_sdtpldt0-{F}(V4,V0,V1), pppp0-{F}(V4,V3), sdtlseqdt0-{F}(V4,V3), P_sdtpldt0-{F}(V0,V4,V5), P_sdtpldt0-{F}(V4,V2,V6), V6 == V3 | P_sdtmndt0-{T}(V3,V4,V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #374: 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; #350 ), references = 1, size of lhs = 14:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V1, sdtlseqdt0-{F}(V2,V1), aNaturalNumber0-{F}(V3), 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,V6), V6 == V2 | P_sdtmndt0-{T}(V2,V3,V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #430: exists( #71, #15 ), references = 1, size of lhs = 12:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #431: exists( #71, #16 ), references = 1, size of lhs = 12:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #499: exists( #72, #60 ), references = 7, size of lhs = 3:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp3-{F}(V2,V3,V4) | P_sdtasdt0-{T}(V2,V4,V3)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #517: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #508 ), references = 1, size of lhs = 8:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, doDivides0-{F}(V2,V3), V3 == V2, aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | P_sdtsldt0-{T}(V3,V2,V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #553: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V27, V27 == V29; #527 ), references = 1, size of lhs = 7:
% 130.66/130.90 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), doDivides0-{F}(V1,V2), V2 == V1, aNaturalNumber0-{F}(V2), P_sz10-{F}(V3) | P_sdtpldt0-{T}(V2,V0,V2), P_sdtpldt0-{T}(V2,V0,V1)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #587: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V32, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V19, V19 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V33, V31 == V34; #554 ), references = 2, size of lhs = 12:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), doDivides0-{F}(V1,V2), V2 == V1, aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_sz10-{F}(V3), P_xl-{F}(V4), doDivides0-{F}(V4,V2), doDivides0-{F}(V4,V1) | P_sdtpldt0-{T}(V2,V0,V1)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #617: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V33; #555 ), references = 1, size of lhs = 14:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), V1 == V2, P_sdtpldt0-{F}(V1,V2,V1), P_sdtpldt0-{F}(V2,V1,V3), P_sz10-{F}(V4), P_xl-{F}(V5), doDivides0-{F}(V5,V0) | P_sdtpldt0-{T}(V1,V1,V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #647: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V33; #556 ), references = 1, size of lhs = 14:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), V1 == V2, P_sdtpldt0-{F}(V2,V1,V1), P_sdtpldt0-{F}(V1,V2,V3), P_sz10-{F}(V4), P_xl-{F}(V5), doDivides0-{F}(V5,V0) | P_sdtpldt0-{T}(V1,V1,V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #684: mergings( V1 == V4, V4 == V8, V8 == V10, V2 == V5, V5 == V9, V9 == V12, V12 == V13, V3 == V6, V6 == V10, V7 == V11; #671 ), references = 1, size of lhs = 7:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xl-{F}(V0), doDivides0-{F}(V0,V0), P_xm-{F}(V1), V1 == V0, P_sz10-{F}(V2) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #696: mergings( V1 == V4, V4 == V7, V7 == V9, V2 == V5, V5 == V8, V8 == V10, V10 == V11, V3 == V6, V6 == V9; #685 ), references = 2, size of lhs = 5:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xl-{F}(V0), doDivides0-{F}(V0,V0), P_sz10-{F}(V1) | P_xm-{T}(V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #754: mergings( V3 == V5, V4 == V6; #750 ), references = 6, size of lhs = 13:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #757: mergings( V3 == V5, V4 == V6; #751 ), references = 1, size of lhs = 13:
% 130.66/130.90 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)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #771: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V19; #762 ), references = 1, size of lhs = 16:
% 130.66/130.90 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_xl-{F}(V3), P_sdtasdt0-{F}(V3,V1,V4), P_sdtasdt0-{F}(V3,V0,V5), P_sdtpldt0-{F}(V4,V5,V2), P_sdtasdt0-{F}(V1,V3,V6), P_sdtasdt0-{F}(V0,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sz00-{F}(V9), P_sz10-{F}(V10), P_xm-{F}(V11), P_xn-{F}(V12), P_sdtpldt0-{F}(V11,V12,V2) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #784: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V16, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V17; #773 ), references = 5, size of lhs = 14:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_xl-{F}(V4), P_sdtasdt0-{F}(V4,V3,V1), P_sdtasdt0-{F}(V4,V2,V0), P_sdtasdt0-{F}(V3,V4,V1), P_sdtasdt0-{F}(V2,V4,V0), P_sz00-{F}(V5), P_sz10-{F}(V6) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #813: mergings( V3 == V5, V5 == V7, V7 == V18, V4 == V6, V6 == V8, V8 == V19; #806 ), references = 3, size of lhs = 19:
% 130.66/130.90 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), P_xl-{F}(V5), P_sdtasdt0-{F}(V5,V4,V3), P_sdtasdt0-{F}(V4,V5,V3), P_sdtasdt0-{F}(V5,V1,V6), P_sdtasdt0-{F}(V5,V0,V7), P_sdtpldt0-{F}(V6,V7,V2), P_sdtasdt0-{F}(V1,V5,V8), P_sdtasdt0-{F}(V0,V5,V9), P_sdtpldt0-{F}(V8,V9,V10), P_sz00-{F}(V11), P_sz10-{F}(V12) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #876: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V20, V20 == V21, V21 == V25, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V19, V19 == V22, V22 == V26, V17 == V27; #860 ), references = 1, size of lhs = 20:
% 130.66/130.90 aNaturalNumber0-{F}(V0), sdtlseqdt0-{F}(V0,V1), V0 == V1, aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), V4 == V3, P_sdtpldt0-{F}(V4,V0,V2), sdtlseqdt0-{F}(V4,V3), P_sdtpldt0-{F}(V0,V4,V5), P_sdtpldt0-{F}(V1,V3,V6), aNaturalNumber0-{F}(V6), P_sdtpldt0-{F}(V3,V1,V7), aNaturalNumber0-{F}(V8), P_sz10-{F}(V8), P_sdtpldt0-{F}(V2,V8,V6), P_sdtpldt0-{F}(V8,V2,V9), P_sz00-{F}(V10), P_sdtpldt0-{F}(V2,V10,V11) | P_sdtpldt0-{T}(V4,V1,V6), P_sdtpldt0-{T}(V4,V1,V11)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #897: mergings( V0 == V2, V2 == V4, V4 == V9, V9 == V11, V11 == V19, V19 == V20, V20 == V24, V24 == V27, V27 == V33, V1 == V3, V3 == V5, V5 == V10, V10 == V12, V12 == V18, V18 == V21, V21 == V25, V25 == V28, V28 == V34, V16 == V26; #877 ), references = 1, size of lhs = 30:
% 130.66/130.90 aNaturalNumber0-{F}(V0), sdtlseqdt0-{F}(V0,V1), V0 == V1, aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V1,V3,V4), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V3,V1,V5), aNaturalNumber0-{F}(V6), P_sdtpldt0-{F}(V2,V6,V4), P_sz10-{F}(V6), P_sdtpldt0-{F}(V6,V2,V7), aNaturalNumber0-{F}(V8), P_sdtpldt0-{F}(V8,V4,V9), P_sz00-{F}(V10), P_sdtpldt0-{F}(V2,V10,V11), aNaturalNumber0-{F}(V12), V12 == V3, P_sdtpldt0-{F}(V12,V0,V2), sdtlseqdt0-{F}(V12,V3), P_sdtpldt0-{F}(V0,V12,V13), P_sdtpldt0-{F}(V8,V12,V14), P_sdtpldt0-{F}(V14,V1,V15), V15 == V9, aNaturalNumber0-{F}(V16), P_sdtpldt0-{F}(V16,V12,V17), P_sdtpldt0-{F}(V17,V1,V18), P_sdtpldt0-{F}(V16,V11,V19), V18 == V19 | P_sdtpldt0-{T}(V12,V1,V4)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #944: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #933 ), references = 3, size of lhs = 13:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V0), P_xl-{F}(V3), P_sdtasdt0-{F}(V3,V2,V1), P_sdtasdt0-{F}(V2,V3,V1), P_sz00-{F}(V4), V3 == V4, P_sz10-{F}(V5) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #953: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V18; #934 ), references = 1, size of lhs = 19:
% 130.66/130.90 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), doDivides0-{F}(V5,V0), P_xl-{F}(V5), P_sdtasdt0-{F}(V5,V4,V3), P_sdtasdt0-{F}(V4,V5,V3), P_sdtasdt0-{F}(V5,V1,V6), P_sdtpldt0-{F}(V0,V6,V2), P_sdtasdt0-{F}(V1,V5,V7), P_sz00-{F}(V8), V5 == V8, P_sz10-{F}(V9), P_sdtpldt0-{F}(V0,V7,V10) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #991: mergings( V1 == V4, V4 == V9, V9 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V6 == V23, V3 == V7, V7 == V12, V12 == V23; #967 ), references = 1, size of lhs = 6:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xm-{F}(V1), P_xl-{F}(V1), P_sz00-{F}(V2), V1 == V2 | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #1024: mergings( V3 == V5, V5 == V7, V7 == V17, V4 == V6, V6 == V8, V8 == V18; #1015 ), references = 2, size of lhs = 18:
% 130.66/130.90 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V2), P_xl-{F}(V4), P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtpldt0-{F}(V5,V6,V3), P_sdtasdt0-{F}(V1,V4,V7), P_sdtasdt0-{F}(V0,V4,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sz00-{F}(V10), V4 == V10, P_sz10-{F}(V11) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #1031: mergings( V3 == V5, V5 == V7, V7 == V18, V4 == V6, V6 == V8, V8 == V19; #1016 ), references = 1, size of lhs = 19:
% 130.66/130.90 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), P_xl-{F}(V5), P_sdtasdt0-{F}(V5,V4,V2), P_sdtasdt0-{F}(V4,V5,V2), P_sdtasdt0-{F}(V5,V1,V6), P_sdtasdt0-{F}(V5,V0,V7), P_sdtpldt0-{F}(V6,V7,V3), P_sdtasdt0-{F}(V1,V5,V8), P_sdtasdt0-{F}(V0,V5,V9), P_sdtpldt0-{F}(V8,V9,V10), P_sz00-{F}(V11), P_sz10-{F}(V12) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #1038: mergings( V3 == V5, V5 == V7, V7 == V24, V4 == V6, V6 == V8, V8 == V25; #1017 ), references = 1, size of lhs = 24:
% 130.66/130.90 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_xn-{F}(V4), aNaturalNumber0-{F}(V5), P_xm-{F}(V5), aNaturalNumber0-{F}(V6), P_xl-{F}(V6), P_sdtasdt0-{F}(V6,V1,V7), P_sdtasdt0-{F}(V6,V0,V8), P_sdtpldt0-{F}(V7,V8,V5), P_sdtasdt0-{F}(V1,V6,V9), P_sdtasdt0-{F}(V0,V6,V10), P_sdtpldt0-{F}(V9,V10,V11), P_sdtasdt0-{F}(V6,V3,V12), P_sdtasdt0-{F}(V6,V2,V13), P_sdtpldt0-{F}(V12,V13,V4), P_sdtasdt0-{F}(V3,V6,V14), P_sdtasdt0-{F}(V2,V6,V15), P_sdtpldt0-{F}(V14,V15,V16), P_sz00-{F}(V17), P_sz10-{F}(V18) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #1082: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #1071 ), references = 2, size of lhs = 11:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), doDivides0-{F}(V2,V1), doDivides0-{F}(V2,V0), P_xl-{F}(V2), P_sz00-{F}(V3), V2 == V3, P_sz10-{F}(V4) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #1091: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #1072 ), references = 1, size of lhs = 13:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V1), P_xl-{F}(V3), P_sdtasdt0-{F}(V3,V2,V0), P_sdtasdt0-{F}(V2,V3,V0), P_sz00-{F}(V4), V3 == V4, P_sz10-{F}(V5) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #1100: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V17; #1073 ), references = 1, size of lhs = 17:
% 130.66/130.90 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V0), doDivides0-{F}(V4,V2), P_xl-{F}(V4), P_sdtasdt0-{F}(V4,V1,V5), P_sdtpldt0-{F}(V0,V5,V3), P_sdtasdt0-{F}(V1,V4,V6), P_sz00-{F}(V7), V4 == V7, P_sz10-{F}(V8), P_sdtpldt0-{F}(V0,V6,V9) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #1141: mergings( V1 == V4, V4 == V7, V7 == V11, V11 == V13, V13 == V18, V2 == V5, V5 == V8, V8 == V12, V12 == V14, V14 == V19, V6 == V9, V9 == V17, V3 == V10, V10 == V15, V15 == V16; #1125 ), references = 1, size of lhs = 5:
% 130.66/130.90 P_xm-{F}(V0), P_xl-{F}(V1), P_sz00-{F}(V2), V1 == V2, P_sz10-{F}(V3) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #1155: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V11, V11 == V14, V2 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V15, V5 == V8, V8 == V13; #1142 ), references = 1, size of lhs = 4:
% 130.66/130.90 P_xl-{F}(V0), P_sz00-{F}(V1), V0 == V1, P_sz10-{F}(V2) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #1167: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #1156 ), references = 1, size of lhs = 2:
% 130.66/130.90 P_sz00-{F}(V0), P_sz10-{F}(V1) | P_xl-{T}(V0)
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #1181: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1173 ), references = 1, size of lhs = 2:
% 130.66/130.90 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 #1184: exists( #69, #1182 ), references = 1, size of lhs = 0:
% 130.66/130.90 FALSE | FALSE
% 130.66/130.90 (used 0 times, uses = {})
% 130.66/130.90
% 130.66/130.90 number of learnt formulas = 51
% 130.66/130.90
% 130.66/130.90
% 130.66/130.90 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 130.66/130.90
% 130.66/130.90 randbase = 1
%------------------------------------------------------------------------------