%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM461+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:12:32 EDT 2022
% Result : Theorem 40.73s 40.91s
% Output : Refutation 40.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM461+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 23:15:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 40.73/40.91 GeoParameters:
% 40.73/40.91
% 40.73/40.91 tptp_input = 1
% 40.73/40.91 tptp_output = 0
% 40.73/40.91 nonempty = 1
% 40.73/40.91 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.73/40.91 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 40.73/40.91
% 40.73/40.91
% 40.73/40.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.73/40.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.73/40.91
% 40.73/40.91 RuleSystem INPUT:
% 40.73/40.91
% 40.73/40.91 Initial Rules:
% 40.73/40.91 #0: input, references = 3, size of lhs = 1:
% 40.73/40.91 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #1: input, references = 3, size of lhs = 2:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #2: input, references = 3, size of lhs = 2:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #3: input, references = 17, size of lhs = 5:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #4: input, references = 3, size of lhs = 5:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #5: input, references = 4, size of lhs = 7:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #6: input, references = 4, size of lhs = 10:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #7: input, references = 5, size of lhs = 6:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #8: input, references = 4, size of lhs = 6:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #9: input, references = 4, size of lhs = 7:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #10: input, references = 3, size of lhs = 10:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #11: input, references = 4, size of lhs = 6:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #12: input, references = 3, size of lhs = 6:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #13: input, references = 4, size of lhs = 6:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #14: input, references = 4, size of lhs = 6:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #15: input, references = 5, size of lhs = 15:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #16: input, references = 4, size of lhs = 15:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #17: input, references = 5, size of lhs = 10:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #18: input, references = 5, size of lhs = 10:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #19: input, references = 5, size of lhs = 11:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #20: input, references = 5, size of lhs = 11:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #21: input, references = 3, size of lhs = 6:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #22: input, references = 3, size of lhs = 6:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #23: input, references = 3, size of lhs = 7:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #24: input, references = 4, size of lhs = 5:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #25: input, references = 8, size of lhs = 5:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #26: input, references = 5, size of lhs = 3:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #27: input, references = 8, size of lhs = 4:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #28: input, references = 5, size of lhs = 3:
% 40.73/40.91 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #29: input, references = 5, size of lhs = 2:
% 40.73/40.91 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #30: input, references = 3, size of lhs = 6:
% 40.73/40.91 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)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #31: input, references = 7, size of lhs = 8:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #32: input, references = 3, size of lhs = 4:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #33: input, references = 4, size of lhs = 5:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #34: input, references = 8, size of lhs = 4:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #35: input, references = 3, size of lhs = 3:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #36: input, references = 4, size of lhs = 7:
% 40.73/40.91 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
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #37: input, references = 3, size of lhs = 7:
% 40.73/40.91 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)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #38: input, references = 3, size of lhs = 3:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #39: input, references = 3, size of lhs = 4:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #40: input, references = 4, size of lhs = 4:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V2)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #41: input, references = 4, size of lhs = 4:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V3)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #42: input, references = 4, size of lhs = 4:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V3), P_xn-{F}(V3) | FALSE
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #43: input, references = 4, size of lhs = 4:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xn-{F}(V3) | sdtlseqdt0-{T}(V2,V3)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #44: input, references = 6, size of lhs = 5:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xn-{F}(V3), P_xm-{F}(V4) | aNaturalNumber0-{T}(V4)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #45: input, references = 5, size of lhs = 13:
% 40.73/40.91 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xn-{F}(V3), P_xm-{F}(V4), P_sdtpldt0-{F}(V4,V2,V5), P_sdtpldt0-{F}(V4,V3,V6), P_sdtpldt0-{F}(V2,V4,V7), P_sdtpldt0-{F}(V3,V4,V8), sdtlseqdt0-{F}(V5,V6), sdtlseqdt0-{F}(V7,V8), V5 == V6, V7 == V8 | FALSE
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #46: input, references = 4, size of lhs = 0:
% 40.73/40.91 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #47: input, references = 4, size of lhs = 0:
% 40.73/40.91 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #48: input, references = 19, size of lhs = 2:
% 40.73/40.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #49: input, references = 7, size of lhs = 2:
% 40.73/40.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #50: input, references = 4, size of lhs = 2:
% 40.73/40.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #51: input, references = 4, size of lhs = 0:
% 40.73/40.91 FALSE | EXISTS V0: P_xl-{T}(V0)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #52: input, references = 4, size of lhs = 0:
% 40.73/40.91 FALSE | EXISTS V0: P_xn-{T}(V0)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #53: input, references = 4, size of lhs = 0:
% 40.73/40.91 FALSE | EXISTS V0: P_xm-{T}(V0)
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 number of initial rules = 54
% 40.73/40.91
% 40.73/40.91 Simplifiers:
% 40.73/40.91 #54: unsound, references = 3, size of lhs = 3:
% 40.73/40.91 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #55: unsound, references = 3, size of lhs = 3:
% 40.73/40.91 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #56: unsound, references = 3, size of lhs = 3:
% 40.73/40.91 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #57: unsound, references = 3, size of lhs = 3:
% 40.73/40.91 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.91
% 40.73/40.91 #58: unsound, references = 3, size of lhs = 3:
% 40.73/40.91 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.73/40.91 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #59: unsound, references = 3, size of lhs = 3:
% 40.73/40.92 P_xl-{F}(V0), P_xl-{F}(V1), V0 == V1 | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #60: unsound, references = 3, size of lhs = 3:
% 40.73/40.92 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #61: unsound, references = 3, size of lhs = 3:
% 40.73/40.92 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #62: unsound, references = 3, size of lhs = 3:
% 40.73/40.92 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 number of simplifiers = 9
% 40.73/40.92
% 40.73/40.92 Learnt:
% 40.73/40.92 #67: exists( #48, #7 ), references = 1, size of lhs = 3:
% 40.73/40.92 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #69: exists( #50, #31 ), references = 3, size of lhs = 6:
% 40.73/40.92 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)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #73: exists( #48, #7 ), references = 1, size of lhs = 5:
% 40.73/40.92 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #75: mergings( V4 == V1; #72 ), references = 2, size of lhs = 4:
% 40.73/40.92 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2) | P_sdtpldt0-{T}(V0,V2,V2)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #77: exists( #48, #71 ), references = 2, size of lhs = 3:
% 40.73/40.92 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #82: exists( #49, #13 ), references = 1, size of lhs = 5:
% 40.73/40.92 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #84: mergings( V4 == V0; #79 ), references = 2, size of lhs = 4:
% 40.73/40.92 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V0) | P_sdtasdt0-{T}(V0,V2,V0)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #85: exists( #49, #9 ), references = 12, size of lhs = 5:
% 40.73/40.92 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)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #87: exists( #49, #81 ), references = 2, size of lhs = 3:
% 40.73/40.92 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #92: exists( #48, #5 ), references = 17, size of lhs = 5:
% 40.73/40.92 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)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #106: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #97 ), references = 1, size of lhs = 9:
% 40.73/40.92 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xl-{F}(V4), P_sdtpldt0-{F}(V0,V4,V1), P_sdtpldt0-{F}(V4,V0,V1) | P_sdtpldt0-{T}(V0,V1,V1)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #128: mergings( V3 == V5, V4 == V1; #124 ), references = 4, size of lhs = 4:
% 40.73/40.92 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #158: mergings( V3 == V5, V4 == V6; #155 ), references = 7, size of lhs = 13:
% 40.73/40.92 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)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #179: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #171 ), references = 2, size of lhs = 15:
% 40.73/40.92 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aNaturalNumber0-{F}(V4), V4 == V2, P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtpldt0-{F}(V5,V6,V7), P_sdtasdt0-{F}(V1,V4,V8), P_sdtasdt0-{F}(V0,V4,V9), P_sdtpldt0-{F}(V8,V9,V10), aNaturalNumber0-{F}(V11), P_sdtasdt0-{F}(V4,V11,V7), P_sdtasdt0-{F}(V11,V4,V12) | P_sdtpldt0-{T}(V1,V0,V11)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #186: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #172 ), references = 1, size of lhs = 15:
% 40.73/40.92 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aNaturalNumber0-{F}(V4), V4 == V2, P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtpldt0-{F}(V5,V6,V7), P_sdtasdt0-{F}(V1,V4,V8), P_sdtasdt0-{F}(V0,V4,V9), P_sdtpldt0-{F}(V8,V9,V10), aNaturalNumber0-{F}(V11), P_sdtasdt0-{F}(V11,V4,V7), P_sdtasdt0-{F}(V4,V11,V12) | P_sdtpldt0-{T}(V1,V0,V11)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #219: exists( #48, #6 ), references = 6, size of lhs = 8:
% 40.73/40.92 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)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #222: exists( #48, #220 ), references = 1, size of lhs = 8:
% 40.73/40.92 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), pppp2-{F}(V5,V7,V4) | P_sdtpldt0-{T}(V6,V2,V7)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #295: mergings( V3 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V19, V19 == V24, V24 == V26, V26 == V29, V29 == V32, V32 == V34, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V20, V20 == V25, V25 == V27, V27 == V30, V30 == V33, V33 == V35; #274 ), references = 2, size of lhs = 29:
% 40.73/40.92 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V3,V4), aNaturalNumber0-{F}(V5), aNaturalNumber0-{F}(V6), P_sdtpldt0-{F}(V6,V5,V7), aNaturalNumber0-{F}(V7), aNaturalNumber0-{F}(V8), P_sdtpldt0-{F}(V8,V3,V9), P_sdtpldt0-{F}(V9,V2,V10), aNaturalNumber0-{F}(V11), P_sdtasdt0-{F}(V11,V6,V1), P_sdtasdt0-{F}(V11,V5,V4), P_sdtasdt0-{F}(V6,V11,V1), P_sdtasdt0-{F}(V5,V11,V4), aNaturalNumber0-{F}(V12), P_sdtasdt0-{F}(V11,V12,V8), P_sdtasdt0-{F}(V12,V11,V8), P_sz00-{F}(V13), V11 == V13, P_sz10-{F}(V14), aNaturalNumber0-{F}(V15), V15 == V7, P_sdtasdt0-{F}(V11,V15,V10), sdtlseqdt0-{F}(V15,V7), P_sdtasdt0-{F}(V15,V11,V16) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #309: exists( #48, #15 ), references = 1, size of lhs = 12:
% 40.73/40.92 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)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #310: exists( #48, #16 ), references = 1, size of lhs = 12:
% 40.73/40.92 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)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #362: mergings( V3 == V5, V5 == V10, V4 == V6, V6 == V11; #357 ), references = 1, size of lhs = 9:
% 40.73/40.92 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V2,V0), P_sz00-{F}(V5), P_sz10-{F}(V6), pppp1-{F}(V4,V7,V3) | P_sdtpldt0-{T}(V1,V0,V7)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #369: exists( #48, #28 ), references = 3, size of lhs = 1:
% 40.73/40.92 pppp2-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #378: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #373 ), references = 1, size of lhs = 7:
% 40.73/40.92 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) | pppp2-{T}(V3,V2,V4)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #427: mergings( V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #412 ), references = 1, size of lhs = 11:
% 40.73/40.92 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), aNaturalNumber0-{F}(V4), V0 == V4, P_sdtasdt0-{F}(V4,V2,V1), P_sdtasdt0-{F}(V4,V1,V2), P_sdtasdt0-{F}(V2,V4,V1), P_sdtasdt0-{F}(V1,V4,V2) | P_sdtpldt0-{T}(V1,V2,V3)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #440: mergings( V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #413 ), references = 1, size of lhs = 11:
% 40.73/40.92 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), aNaturalNumber0-{F}(V4), V0 == V4, P_sdtasdt0-{F}(V4,V2,V1), P_sdtasdt0-{F}(V4,V1,V2), P_sdtasdt0-{F}(V2,V4,V1), P_sdtasdt0-{F}(V1,V4,V2) | P_sdtpldt0-{T}(V1,V2,V3)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #458: mergings( V3 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22; #414 ), references = 1, size of lhs = 16:
% 40.73/40.92 aNaturalNumber0-{F}(V0), P_sdtpldt0-{F}(V0,V0,V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V1,V4), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), V5 == V4, sdtlseqdt0-{F}(V5,V4), P_sdtasdt0-{F}(V5,V3,V2), P_sdtasdt0-{F}(V5,V2,V3), P_sdtasdt0-{F}(V3,V5,V2), P_sdtasdt0-{F}(V2,V5,V3) | P_sdtpldt0-{T}(V2,V3,V0)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #494: mergings( V0 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V16, V16 == V18, V1 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V17, V17 == V19; #481 ), references = 2, size of lhs = 17:
% 40.73/40.92 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V2), P_sdtpldt0-{F}(V1,V0,V3), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), V3 == V4, P_sdtpldt0-{F}(V2,V0,V4), P_sz00-{F}(V5), P_sz10-{F}(V6), P_xl-{F}(V7), P_xn-{F}(V8), P_xm-{F}(V9), P_sdtpldt0-{F}(V9,V7,V3), P_sdtpldt0-{F}(V9,V8,V4), P_sdtpldt0-{F}(V7,V9,V3), P_sdtpldt0-{F}(V8,V9,V4) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #503: mergings( V3 == V5, V5 == V9, V4 == V6, V6 == V10; #498 ), references = 4, size of lhs = 13:
% 40.73/40.92 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), pppp0-{F}(V2,V0), P_sdtpldt0-{F}(V2,V1,V3), aNaturalNumber0-{F}(V3), P_sz00-{F}(V4), P_sz10-{F}(V5), P_xl-{F}(V6), P_sdtpldt0-{F}(V1,V6,V3), P_sdtpldt0-{F}(V6,V1,V3) | P_sdtpldt0-{T}(V1,V0,V3)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #530: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14; #517 ), references = 1, size of lhs = 9:
% 40.73/40.92 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), V1 == V0, pppp0-{F}(V1,V0), P_xl-{F}(V1), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #541: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14; #518 ), references = 1, size of lhs = 9:
% 40.73/40.92 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), V1 == V0, pppp0-{F}(V1,V0), P_xl-{F}(V1), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #560: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22; #519 ), references = 1, size of lhs = 9:
% 40.73/40.92 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), V0 == V1, aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V0), P_xl-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #611: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V4 == V6, V6 == V9, V9 == V11, V11 == V13; #600 ), references = 1, size of lhs = 10:
% 40.73/40.92 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), aNaturalNumber0-{F}(V1), P_xl-{F}(V2), V2 == V0, pppp0-{F}(V2,V0), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #620: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V4 == V6, V6 == V9, V9 == V11, V11 == V13; #601 ), references = 1, size of lhs = 10:
% 40.73/40.92 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), aNaturalNumber0-{F}(V1), P_xl-{F}(V2), V2 == V0, pppp0-{F}(V2,V0), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #637: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21; #602 ), references = 1, size of lhs = 10:
% 40.73/40.92 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), P_xn-{F}(V1), V1 == V0, aNaturalNumber0-{F}(V1), pppp0-{F}(V0,V1), P_xm-{F}(V2), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #656: mergings( V1 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V15, V2 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V16, V3 == V12, V4 == V9; #641 ), references = 2, size of lhs = 8:
% 40.73/40.92 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xl-{F}(V1), V1 == V0, pppp0-{F}(V1,V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #669: mergings( V1 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V15, V2 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V16, V3 == V12, V4 == V9; #642 ), references = 1, size of lhs = 8:
% 40.73/40.92 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xl-{F}(V1), V1 == V0, pppp0-{F}(V1,V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #690: mergings( V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V3 == V13, V4 == V18; #643 ), references = 1, size of lhs = 8:
% 40.73/40.92 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), P_xn-{F}(V1), V1 == V0, aNaturalNumber0-{F}(V1), pppp0-{F}(V0,V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #724: mergings( V1 == V3, V3 == V6, V6 == V8, V8 == V11, V2 == V4, V4 == V7, V7 == V9, V9 == V12, V5 == V10; #712 ), references = 1, size of lhs = 3:
% 40.73/40.92 P_xl-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2) | P_xn-{T}(V0)
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #737: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #726 ), references = 1, size of lhs = 2:
% 40.73/40.92 P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #744: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #738 ), references = 1, size of lhs = 1:
% 40.73/40.92 P_sz00-{F}(V0) | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 #746: exists( #46, #738 ), references = 1, size of lhs = 0:
% 40.73/40.92 FALSE | FALSE
% 40.73/40.92 (used 0 times, uses = {})
% 40.73/40.92
% 40.73/40.92 number of learnt formulas = 41
% 40.73/40.92
% 40.73/40.92
% 40.73/40.92 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.73/40.92
% 40.73/40.92 randbase = 1
%------------------------------------------------------------------------------