%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM469+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 43.57s 43.77s
% Output : Refutation 43.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM469+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 23:19:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 43.57/43.77 GeoParameters:
% 43.57/43.77
% 43.57/43.77 tptp_input = 1
% 43.57/43.77 tptp_output = 0
% 43.57/43.77 nonempty = 1
% 43.57/43.77 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.57/43.77 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 43.57/43.77
% 43.57/43.77
% 43.57/43.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.57/43.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.57/43.77
% 43.57/43.77 RuleSystem INPUT:
% 43.57/43.77
% 43.57/43.77 Initial Rules:
% 43.57/43.77 #0: input, references = 4, size of lhs = 1:
% 43.57/43.77 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1: input, references = 3, size of lhs = 2:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #2: input, references = 3, size of lhs = 2:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #3: input, references = 14, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #4: input, references = 3, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #5: input, references = 4, size of lhs = 7:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #6: input, references = 4, size of lhs = 10:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #7: input, references = 5, size of lhs = 6:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #8: input, references = 4, size of lhs = 6:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #9: input, references = 4, size of lhs = 7:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #10: input, references = 3, size of lhs = 10:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #11: input, references = 4, size of lhs = 6:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #12: input, references = 3, size of lhs = 6:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #13: input, references = 5, size of lhs = 6:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #14: input, references = 3, size of lhs = 6:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #15: input, references = 5, size of lhs = 15:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #16: input, references = 5, size of lhs = 15:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #17: input, references = 5, size of lhs = 10:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #18: input, references = 3, size of lhs = 10:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #19: input, references = 3, size of lhs = 11:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #20: input, references = 3, size of lhs = 11:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #21: input, references = 3, size of lhs = 6:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #22: input, references = 3, size of lhs = 6:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #23: input, references = 3, size of lhs = 7:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #24: input, references = 3, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #25: input, references = 5, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #26: input, references = 4, size of lhs = 3:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp4-{T}(V2,V3,V4)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #27: input, references = 5, size of lhs = 4:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #28: input, references = 5, size of lhs = 3:
% 43.57/43.77 pppp4-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #29: input, references = 4, size of lhs = 2:
% 43.57/43.77 pppp4-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #30: input, references = 3, size of lhs = 6:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #31: input, references = 5, size of lhs = 8:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #32: input, references = 3, size of lhs = 4:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #33: input, references = 4, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #34: input, references = 4, size of lhs = 4:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #35: input, references = 3, size of lhs = 3:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #36: input, references = 4, size of lhs = 7:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #37: input, references = 3, size of lhs = 7:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #38: input, references = 3, size of lhs = 3:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #39: input, references = 3, size of lhs = 4:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #40: input, references = 3, size of lhs = 11:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #41: input, references = 3, size of lhs = 11:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #42: input, references = 3, size of lhs = 11:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #43: input, references = 3, size of lhs = 11:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #44: input, references = 3, size of lhs = 12:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #45: input, references = 3, size of lhs = 12:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #46: input, references = 3, size of lhs = 12:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #47: input, references = 3, size of lhs = 12:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #48: input, references = 3, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #49: input, references = 4, size of lhs = 6:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #50: input, references = 3, size of lhs = 6:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), V3 == V2 | iLess0-{T}(V3,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #51: input, references = 9, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2) | pppp2-{T}(V3,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #52: input, references = 9, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2) | doDivides0-{T}(V3,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #53: input, references = 4, size of lhs = 3:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp2-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V2,V3,V4)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #54: input, references = 9, size of lhs = 4:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp2-{T}(V2,V5)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #55: input, references = 5, size of lhs = 3:
% 43.57/43.77 pppp5-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3), V1 == V3 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #56: input, references = 12, size of lhs = 2:
% 43.57/43.77 pppp5-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #57: input, references = 4, size of lhs = 7:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #58: input, references = 5, size of lhs = 9:
% 43.57/43.77 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #59: input, references = 3, size of lhs = 4:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #60: input, references = 4, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4), V3 == V5 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #61: input, references = 11, size of lhs = 4:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp3-{T}(V2,V5,V4)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #62: input, references = 5, size of lhs = 7:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #63: input, references = 6, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #64: input, references = 6, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V3)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #65: input, references = 8, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V4)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #66: input, references = 8, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | doDivides0-{T}(V2,V3)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #67: input, references = 8, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | doDivides0-{T}(V2,V4)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #68: input, references = 3, size of lhs = 12:
% 43.57/43.77 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), P_sdtsldt0-{F}(V3,V2,V6), P_sdtsldt0-{F}(V4,V2,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V2,V8,V9), V2 == V0, V5 == V9 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #69: input, references = 10, size of lhs = 11:
% 43.57/43.77 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), P_sdtsldt0-{F}(V3,V2,V6), P_sdtsldt0-{F}(V4,V2,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V2,V8,V9), doDivides0-{F}(V2,V5) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #70: input, references = 4, size of lhs = 0:
% 43.57/43.77 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #71: input, references = 4, size of lhs = 0:
% 43.57/43.77 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #72: input, references = 17, size of lhs = 2:
% 43.57/43.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #73: input, references = 11, size of lhs = 2:
% 43.57/43.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #74: input, references = 4, size of lhs = 2:
% 43.57/43.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #75: input, references = 10, size of lhs = 2:
% 43.57/43.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtsldt0-{T}(V0,V1,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #76: input, references = 4, size of lhs = 0:
% 43.57/43.77 FALSE | EXISTS V0: P_xl-{T}(V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #77: input, references = 6, size of lhs = 0:
% 43.57/43.77 FALSE | EXISTS V0: P_xm-{T}(V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #78: input, references = 10, size of lhs = 0:
% 43.57/43.77 FALSE | EXISTS V0: P_xn-{T}(V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 number of initial rules = 79
% 43.57/43.77
% 43.57/43.77 Simplifiers:
% 43.57/43.77 #79: unsound, references = 3, size of lhs = 3:
% 43.57/43.77 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #80: unsound, references = 3, size of lhs = 3:
% 43.57/43.77 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #81: unsound, references = 3, size of lhs = 3:
% 43.57/43.77 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #82: unsound, references = 3, size of lhs = 3:
% 43.57/43.77 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #83: unsound, references = 3, size of lhs = 3:
% 43.57/43.77 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #84: unsound, references = 3, size of lhs = 3:
% 43.57/43.77 P_sdtsldt0-{F}(V0,V1,V2), P_sdtsldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #85: unsound, references = 3, size of lhs = 3:
% 43.57/43.77 P_xl-{F}(V0), P_xl-{F}(V1), V0 == V1 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #86: unsound, references = 3, size of lhs = 3:
% 43.57/43.77 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #87: unsound, references = 3, size of lhs = 3:
% 43.57/43.77 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #88: unsound, references = 3, size of lhs = 3:
% 43.57/43.77 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #89: unsound, references = 3, size of lhs = 3:
% 43.57/43.77 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 number of simplifiers = 11
% 43.57/43.77
% 43.57/43.77 Learnt:
% 43.57/43.77 #93: exists( #75, #58 ), references = 8, size of lhs = 7:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #95: exists( #72, #33 ), references = 1, size of lhs = 3:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp1-{F}(V2,V3,V4) | P_sdtpldt0-{T}(V2,V4,V3)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #98: exists( #72, #8 ), references = 5, size of lhs = 4:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3) | P_sdtpldt0-{T}(V0,V2,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #99: exists( #72, #5 ), references = 2, size of lhs = 5:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #102: exists( #72, #7 ), references = 1, size of lhs = 3:
% 43.57/43.77 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #105: exists( #73, #13 ), references = 1, size of lhs = 3:
% 43.57/43.77 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #121: mergings( V3 == V1, V4 == V5; #116 ), references = 7, size of lhs = 4:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #124: exists( #73, #13 ), references = 1, size of lhs = 5:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #125: exists( #73, #9 ), references = 19, size of lhs = 5:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #127: exists( #73, #123 ), references = 4, size of lhs = 3:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #136: exists( #74, #31 ), references = 1, size of lhs = 6:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #152: mergings( V3 == V5, V4 == V1; #148 ), references = 5, size of lhs = 4:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #169: mergings( V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14; #158 ), references = 2, size of lhs = 10:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), P_xl-{F}(V2), P_sdtsldt0-{F}(V1,V2,V1), P_sdtsldt0-{F}(V0,V2,V0), P_sz10-{F}(V2), P_sz00-{F}(V3) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #191: mergings( V1 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V17, V2 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V16, V4 == V7, V7 == V15; #176 ), references = 2, size of lhs = 8:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xl-{F}(V1), P_sdtsldt0-{F}(V0,V1,V0), P_sz10-{F}(V1), P_sz00-{F}(V2), V1 == V2 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #224: mergings( V1 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V15, V2 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V3 == V14; #211 ), references = 1, size of lhs = 6:
% 43.57/43.77 P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xl-{F}(V1), P_sz10-{F}(V1), P_sz00-{F}(V2), V1 == V2 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #238: mergings( V1 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V14, V2 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13, V3 == V13; #225 ), references = 1, size of lhs = 5:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #290: exists( #72, #6 ), references = 2, size of lhs = 8:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #308: exists( #72, #306 ), references = 1, size of lhs = 8:
% 43.57/43.77 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), pppp4-{F}(V5,V7,V4) | P_sdtpldt0-{T}(V6,V2,V7)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #322: exists( #73, #55 ), references = 10, size of lhs = 1:
% 43.57/43.77 pppp5-{F}(V0,V1,V2) | P_sdtasdt0-{T}(V0,V2,V1)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #331: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #326 ), references = 10, size of lhs = 8:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, pppp2-{F}(V2,V3), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), P_sdtsldt0-{F}(V3,V2,V4) | pppp5-{T}(V2,V3,V4)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #381: mergings( V3 == V5, V4 == V6; #377 ), references = 7, size of lhs = 13:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V0,V5,V8)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #384: mergings( V3 == V5, V4 == V6; #378 ), references = 1, size of lhs = 13:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V0,V5,V11)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #406: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V7, V7 == V9; #400 ), references = 1, size of lhs = 14:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_xl-{F}(V0), pppp2-{F}(V0,V1), aNaturalNumber0-{F}(V1), doDivides0-{F}(V0,V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), V0 == V2, P_sz00-{F}(V2), P_sz10-{F}(V3), P_xm-{F}(V4), P_sdtsldt0-{F}(V4,V0,V2), P_sdtpldt0-{F}(V4,V1,V5), doDivides0-{F}(V0,V5) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #444: mergings( V1 == V4, V4 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V28, V2 == V5, V5 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V27, V27 == V29, V6 == V25, V3 == V7, V7 == V28, V28 == V18; #417 ), references = 1, size of lhs = 6:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_sz00-{F}(V0), P_xl-{F}(V1), V1 == V0, P_sz10-{F}(V2) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #472: mergings( V3 == V5, V5 == V7, V7 == V16, V4 == V6, V6 == V8, V8 == V17; #465 ), references = 2, size of lhs = 18:
% 43.57/43.77 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xl-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V2,V0,V4), P_sdtpldt0-{F}(V3,V4,V5), P_sdtasdt0-{F}(V1,V2,V6), P_sdtasdt0-{F}(V0,V2,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sz00-{F}(V9), P_sz10-{F}(V10), P_xm-{F}(V11), P_sdtsldt0-{F}(V11,V2,V1), P_xn-{F}(V12), P_sdtsldt0-{F}(V12,V2,V0), P_sdtpldt0-{F}(V11,V12,V13), doDivides0-{F}(V2,V13) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #503: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V21; #491 ), references = 1, size of lhs = 18:
% 43.57/43.77 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_sdtsldt0-{F}(V11,V3,V1), P_xn-{F}(V12), P_sdtpldt0-{F}(V11,V12,V2), P_sdtsldt0-{F}(V12,V3,V0) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #514: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V28, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V29; #492 ), references = 1, size of lhs = 26:
% 43.57/43.77 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), P_xl-{F}(V5), 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_sdtasdt0-{F}(V5,V4,V11), P_sdtasdt0-{F}(V5,V3,V12), P_sdtpldt0-{F}(V11,V12,V13), P_sdtasdt0-{F}(V4,V5,V14), P_sdtasdt0-{F}(V3,V5,V15), P_sdtpldt0-{F}(V14,V15,V16), P_sz00-{F}(V17), P_sz10-{F}(V18), P_xm-{F}(V19), P_sdtsldt0-{F}(V19,V5,V4), P_xn-{F}(V20), P_sdtsldt0-{F}(V20,V5,V3), P_sdtpldt0-{F}(V19,V20,V2) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #531: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V18, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V19; #517 ), references = 4, size of lhs = 16:
% 43.57/43.77 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_sdtsldt0-{F}(V1,V4,V3), P_sdtsldt0-{F}(V0,V4,V2), P_sz00-{F}(V5), P_sz10-{F}(V6) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #544: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V20, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V21; #518 ), references = 2, size of lhs = 22:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), aNaturalNumber0-{F}(V6), P_xl-{F}(V6), P_sdtasdt0-{F}(V6,V3,V1), P_sdtasdt0-{F}(V6,V2,V0), P_sdtasdt0-{F}(V3,V6,V1), P_sdtasdt0-{F}(V2,V6,V0), P_sdtasdt0-{F}(V6,V5,V1), P_sdtasdt0-{F}(V6,V4,V0), P_sdtasdt0-{F}(V5,V6,V1), P_sdtasdt0-{F}(V4,V6,V0), P_sdtsldt0-{F}(V1,V6,V5), P_sdtsldt0-{F}(V0,V6,V4), P_sz00-{F}(V7), P_sz10-{F}(V8) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #587: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #582 ), references = 3, size of lhs = 9:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, pppp2-{F}(V2,V3), V3 == V2, doDivides0-{F}(V2,V3), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | P_sdtsldt0-{T}(V3,V2,V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #674: mergings( V3 == V5, V5 == V9, V4 == V6, V6 == V10; #667 ), references = 3, size of lhs = 15:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V0), doDivides0-{F}(V3,V0), P_xl-{F}(V3), P_sdtasdt0-{F}(V3,V2,V1), P_sdtasdt0-{F}(V2,V3,V1), P_sdtsldt0-{F}(V1,V3,V2), P_sz00-{F}(V4), V3 == V4, P_sz10-{F}(V5) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #679: mergings( V3 == V5, V5 == V10, V4 == V6, V6 == V11; #668 ), references = 2, size of lhs = 18:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), pppp2-{F}(V4,V0), doDivides0-{F}(V4,V0), P_xl-{F}(V4), P_sdtasdt0-{F}(V4,V2,V1), P_sdtasdt0-{F}(V2,V4,V1), P_sdtasdt0-{F}(V4,V3,V1), P_sdtasdt0-{F}(V3,V4,V1), P_sdtsldt0-{F}(V1,V4,V3), P_sz00-{F}(V5), V4 == V5, P_sz10-{F}(V6) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #726: mergings( V1 == V4, V4 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V28, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V29, V6 == V27, V3 == V7, V7 == V16, V16 == V27; #698 ), references = 1, size of lhs = 6:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xm-{F}(V1), P_xl-{F}(V1), P_sz00-{F}(V2), V1 == V2 | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #789: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V22; #776 ), references = 1, size of lhs = 20:
% 43.57/43.77 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,V3), pppp2-{F}(V4,V2), 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
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #800: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V23; #777 ), references = 1, size of lhs = 22:
% 43.57/43.77 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,V3), P_xl-{F}(V5), P_sdtasdt0-{F}(V5,V4,V2), P_sdtasdt0-{F}(V4,V5,V2), P_sdtsldt0-{F}(V2,V5,V4), 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), V5 == V11, P_sz10-{F}(V12) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #813: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V23; #778 ), references = 1, size of lhs = 21:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V0, P_xl-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V3,V1,V5), P_sdtpldt0-{F}(V4,V5,V6), aNaturalNumber0-{F}(V6), doDivides0-{F}(V3,V6), P_xm-{F}(V6), P_sdtasdt0-{F}(V2,V3,V7), P_sdtasdt0-{F}(V1,V3,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sz10-{F}(V10), P_xn-{F}(V11), P_sdtsldt0-{F}(V11,V3,V0), P_sdtpldt0-{F}(V6,V11,V12), doDivides0-{F}(V3,V12) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #861: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #856 ), references = 1, size of lhs = 14:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_xl-{F}(V0), pppp2-{F}(V0,V1), aNaturalNumber0-{F}(V1), doDivides0-{F}(V0,V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), V0 == V2, P_sz00-{F}(V2), P_sz10-{F}(V3), P_xn-{F}(V4), P_sdtsldt0-{F}(V4,V0,V2), P_sdtpldt0-{F}(V1,V4,V5), doDivides0-{F}(V0,V5) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #937: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #930 ), references = 2, size of lhs = 13:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), pppp2-{F}(V2,V1), doDivides0-{F}(V2,V1), pppp2-{F}(V2,V0), doDivides0-{F}(V2,V0), P_xl-{F}(V2), P_sz00-{F}(V3), V2 == V3, P_sz10-{F}(V4) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #942: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #931 ), references = 1, size of lhs = 13:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), pppp2-{F}(V2,V1), doDivides0-{F}(V2,V1), pppp2-{F}(V2,V0), doDivides0-{F}(V2,V0), P_xl-{F}(V2), P_sz00-{F}(V3), V2 == V3, P_sz10-{F}(V4) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #947: mergings( V3 == V5, V5 == V9, V4 == V6, V6 == V10; #932 ), references = 1, size of lhs = 15:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V1), doDivides0-{F}(V3,V1), P_xl-{F}(V3), P_sdtasdt0-{F}(V3,V2,V0), P_sdtasdt0-{F}(V2,V3,V0), P_sdtsldt0-{F}(V0,V3,V2), P_sz00-{F}(V4), V3 == V4, P_sz10-{F}(V5) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1006: mergings( V1 == V4, V4 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V22, V2 == V5, V5 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V23, V6 == V9, V9 == V21, V3 == V10, V10 == V17, V17 == V20; #985 ), references = 1, size of lhs = 5:
% 43.57/43.77 P_xm-{F}(V0), P_xl-{F}(V1), P_sz00-{F}(V2), V1 == V2, P_sz10-{F}(V3) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1025: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V2 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V5 == V8, V8 == V17; #1007 ), references = 1, size of lhs = 4:
% 43.57/43.77 P_xl-{F}(V0), P_sz00-{F}(V1), V0 == V1, P_sz10-{F}(V2) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1042: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #1026 ), references = 1, size of lhs = 2:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1) | P_xl-{T}(V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1103: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V20, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V19, V19 == V21; #1084 ), references = 1, size of lhs = 7:
% 43.57/43.77 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,V1), P_sdtpldt0-{T}(V2,V0,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1123: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V20, V20 == V22, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V19, V19 == V21, V21 == V23; #1085 ), references = 1, size of lhs = 7:
% 43.57/43.77 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,V1), P_sdtpldt0-{T}(V2,V0,V2)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1147: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V22; #1124 ), references = 2, size of lhs = 7:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3) | P_sdtpldt0-{T}(V1,V3,V1)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1167: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V22; #1125 ), references = 1, size of lhs = 8:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V0 | P_sdtpldt0-{T}(V1,V3,V1)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1187: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V22; #1126 ), references = 1, size of lhs = 8:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V0 | P_sdtpldt0-{T}(V1,V3,V1)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1237: mergings( V1 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V29, V29 == V31, V2 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V30, V30 == V32, V3 == V31; #1205 ), references = 1, size of lhs = 6:
% 43.57/43.77 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xm-{F}(V1), V1 == V0, P_sz10-{F}(V2) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1270: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V28, V28 == V30, V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V29, V29 == V31, V3 == V30; #1238 ), references = 2, size of lhs = 4:
% 43.57/43.77 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_xm-{T}(V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1286: exists( #72, #28 ), references = 1, size of lhs = 1:
% 43.57/43.77 pppp4-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1295: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #1290 ), references = 1, size of lhs = 7:
% 43.57/43.77 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)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1317: exists( #73, #15 ), references = 1, size of lhs = 12:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V5,V6,V7), P_sdtasdt0-{F}(V3,V4,V8), P_sdtasdt0-{F}(V2,V4,V9), P_sdtpldt0-{F}(V8,V9,V10) | P_sdtasdt0-{T}(V4,V4,V7)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1318: exists( #73, #16 ), references = 1, size of lhs = 12:
% 43.57/43.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V5,V6,V7), P_sdtasdt0-{F}(V3,V4,V8), P_sdtasdt0-{F}(V2,V4,V9), P_sdtpldt0-{F}(V8,V9,V10) | P_sdtasdt0-{T}(V4,V4,V10)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1325: mergings( V0 == V3; #1323 ), references = 1, size of lhs = 10:
% 43.57/43.77 P_sz00-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_sdtpldt0-{F}(V2,V3,V4), doDivides0-{F}(V0,V4), P_sdtsldt0-{F}(V2,V0,V5), P_sdtsldt0-{F}(V3,V0,V6), P_sdtpldt0-{F}(V5,V6,V7) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1328: mergings( V5 == V3; #1326 ), references = 1, size of lhs = 9:
% 43.57/43.77 P_sz00-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_sdtpldt0-{F}(V2,V3,V4), doDivides0-{F}(V0,V4), P_sdtsldt0-{F}(V2,V0,V5), P_sdtsldt0-{F}(V3,V0,V6) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1331: mergings( V1 == V3; #1329 ), references = 2, size of lhs = 7:
% 43.57/43.77 P_sz00-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V2), P_sdtpldt0-{F}(V2,V2,V3), doDivides0-{F}(V0,V3) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1364: mergings( V1 == V5, V5 == V7, V7 == V10, V10 == V13, V2 == V6, V6 == V9, V9 == V11, V11 == V12, V12 == V14, V3 == V13, V4 == V8, V8 == V13; #1349 ), references = 1, size of lhs = 5:
% 43.57/43.77 P_xl-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_xn-{T}(V0)
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1417: 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; #1404 ), references = 1, size of lhs = 2:
% 43.57/43.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 #1420: exists( #70, #1418 ), references = 1, size of lhs = 0:
% 43.57/43.77 FALSE | FALSE
% 43.57/43.77 (used 0 times, uses = {})
% 43.57/43.77
% 43.57/43.77 number of learnt formulas = 60
% 43.57/43.77
% 43.57/43.77
% 43.57/43.77 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.57/43.77
% 43.57/43.77 randbase = 1
%------------------------------------------------------------------------------