TSTP Solution File: NUM463+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM463+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 10.53s 10.70s
% Output : Refutation 10.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM463+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 23:45:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 10.53/10.70 GeoParameters:
% 10.53/10.70
% 10.53/10.70 tptp_input = 1
% 10.53/10.70 tptp_output = 0
% 10.53/10.70 nonempty = 1
% 10.53/10.70 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.53/10.70 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 10.53/10.70
% 10.53/10.70
% 10.53/10.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.53/10.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.53/10.70
% 10.53/10.70 RuleSystem INPUT:
% 10.53/10.70
% 10.53/10.70 Initial Rules:
% 10.53/10.70 #0: input, references = 4, size of lhs = 1:
% 10.53/10.70 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #1: input, references = 4, size of lhs = 2:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #2: input, references = 3, size of lhs = 2:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #3: input, references = 9, size of lhs = 5:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #4: input, references = 3, size of lhs = 5:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #5: input, references = 4, size of lhs = 7:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #6: input, references = 3, size of lhs = 10:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #7: input, references = 5, size of lhs = 6:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #8: input, references = 3, size of lhs = 6:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #9: input, references = 4, size of lhs = 7:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #10: input, references = 3, size of lhs = 10:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #11: input, references = 6, size of lhs = 6:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #12: input, references = 3, size of lhs = 6:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #13: input, references = 5, size of lhs = 6:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #14: input, references = 4, size of lhs = 6:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #15: input, references = 4, size of lhs = 15:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #16: input, references = 4, size of lhs = 15:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #17: input, references = 3, size of lhs = 10:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #18: input, references = 3, size of lhs = 10:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #19: input, references = 4, size of lhs = 11:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #20: input, references = 4, size of lhs = 11:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #21: input, references = 3, size of lhs = 6:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #22: input, references = 3, size of lhs = 6:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #23: input, references = 3, size of lhs = 7:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #24: input, references = 3, size of lhs = 5:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #25: input, references = 6, size of lhs = 5:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #26: input, references = 3, size of lhs = 3:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #27: input, references = 6, size of lhs = 4:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #28: input, references = 3, size of lhs = 3:
% 10.53/10.70 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #29: input, references = 3, size of lhs = 2:
% 10.53/10.70 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #30: input, references = 3, size of lhs = 6:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #31: input, references = 4, size of lhs = 8:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #32: input, references = 3, size of lhs = 4:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #33: input, references = 3, size of lhs = 5:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #34: input, references = 3, size of lhs = 4:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #35: input, references = 5, size of lhs = 3:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #36: input, references = 3, size of lhs = 7:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #37: input, references = 4, size of lhs = 7:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #38: input, references = 3, size of lhs = 3:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #39: input, references = 3, size of lhs = 4:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #40: input, references = 3, size of lhs = 11:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #41: input, references = 3, size of lhs = 11:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #42: input, references = 3, size of lhs = 11:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #43: input, references = 3, size of lhs = 11:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #44: input, references = 3, size of lhs = 12:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #45: input, references = 5, size of lhs = 12:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #46: input, references = 3, size of lhs = 12:
% 10.53/10.70 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
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #47: input, references = 3, size of lhs = 12:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #48: input, references = 4, size of lhs = 5:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #49: input, references = 7, size of lhs = 4:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V2)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #50: input, references = 6, size of lhs = 4:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V3)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #51: input, references = 4, size of lhs = 5:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V0), P_xn-{F}(V3), P_sdtasdt0-{F}(V3,V0,V4) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #52: input, references = 5, size of lhs = 7:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), P_sdtpldt0-{F}(V3,V5,V4), aNaturalNumber0-{F}(V5) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #53: input, references = 8, size of lhs = 6:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), sdtlseqdt0-{F}(V3,V4) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #54: input, references = 4, size of lhs = 0:
% 10.53/10.70 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #55: input, references = 4, size of lhs = 0:
% 10.53/10.70 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #56: input, references = 10, size of lhs = 2:
% 10.53/10.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #57: input, references = 11, size of lhs = 2:
% 10.53/10.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #58: input, references = 4, size of lhs = 2:
% 10.53/10.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #59: input, references = 4, size of lhs = 0:
% 10.53/10.70 FALSE | EXISTS V0: P_xm-{T}(V0)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #60: input, references = 6, size of lhs = 0:
% 10.53/10.70 FALSE | EXISTS V0: P_xn-{T}(V0)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 number of initial rules = 61
% 10.53/10.70
% 10.53/10.70 Simplifiers:
% 10.53/10.70 #61: unsound, references = 3, size of lhs = 3:
% 10.53/10.70 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #62: unsound, references = 3, size of lhs = 3:
% 10.53/10.70 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #63: unsound, references = 3, size of lhs = 3:
% 10.53/10.70 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #64: unsound, references = 3, size of lhs = 3:
% 10.53/10.70 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #65: unsound, references = 3, size of lhs = 3:
% 10.53/10.70 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #66: unsound, references = 3, size of lhs = 3:
% 10.53/10.70 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #67: unsound, references = 3, size of lhs = 3:
% 10.53/10.70 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #68: unsound, references = 3, size of lhs = 3:
% 10.53/10.70 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 number of simplifiers = 8
% 10.53/10.70
% 10.53/10.70 Learnt:
% 10.53/10.70 #74: exists( #56, #7 ), references = 1, size of lhs = 3:
% 10.53/10.70 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #77: exists( #57, #13 ), references = 1, size of lhs = 3:
% 10.53/10.70 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #79: exists( #58, #31 ), references = 1, size of lhs = 6:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #82: exists( #57, #11 ), references = 1, size of lhs = 3:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #86: exists( #56, #7 ), references = 1, size of lhs = 5:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #87: exists( #56, #5 ), references = 1, size of lhs = 5:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #89: exists( #56, #84 ), references = 3, size of lhs = 3:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #97: exists( #57, #13 ), references = 1, size of lhs = 5:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #99: exists( #57, #96 ), references = 6, size of lhs = 3:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #106: exists( #57, #11 ), references = 1, size of lhs = 4:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V1,V2,V3) | P_sdtasdt0-{T}(V2,V1,V2)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #108: mergings( V4 == V0; #104 ), references = 5, size of lhs = 4:
% 10.53/10.70 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V0) | P_sdtasdt0-{T}(V0,V2,V0)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #109: exists( #57, #9 ), references = 13, size of lhs = 5:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #125: mergings( V3 == V5, V4 == V1; #121 ), references = 2, size of lhs = 4:
% 10.53/10.70 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #143: mergings( V1 == V4, V4 == V6, V6 == V9, V9 == V10, V2 == V5, V5 == V7, V7 == V8, V8 == V11, V3 == V11; #132 ), references = 1, size of lhs = 4:
% 10.53/10.70 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #151: mergings( V1 == V5, V2 == V4, V4 == V6, V3 == V5; #146 ), references = 2, size of lhs = 3:
% 10.53/10.70 P_sz00-{F}(V0), P_xm-{F}(V0), P_sz10-{F}(V1) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #178: mergings( V3 == V5, V4 == V6; #174 ), references = 8, size of lhs = 13:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #181: mergings( V3 == V5, V4 == V6; #175 ), references = 1, size of lhs = 13:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #200: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V20; #187 ), references = 3, size of lhs = 16:
% 10.53/10.70 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), sdtlseqdt0-{F}(V2,V1), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V2), aNaturalNumber0-{F}(V5), P_xm-{F}(V5), P_sdtasdt0-{F}(V5,V4,V1), P_sdtasdt0-{F}(V5,V3,V0), P_sdtasdt0-{F}(V4,V5,V1), P_sdtasdt0-{F}(V3,V5,V0), P_sz00-{F}(V6), P_sz10-{F}(V7) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #215: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #207 ), references = 1, size of lhs = 15:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #222: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #208 ), references = 1, size of lhs = 15:
% 10.53/10.70 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)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #257: mergings( V3 == V8, V8 == V10, V10 == V15, V4 == V9, V9 == V11, V11 == V16; #249 ), references = 2, size of lhs = 19:
% 10.53/10.70 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V1,V4), P_sdtasdt0-{F}(V1,V3,V4), P_sdtasdt0-{F}(V3,V0,V5), P_sdtasdt0-{F}(V0,V3,V5), aNaturalNumber0-{F}(V6), V6 == V3, sdtlseqdt0-{F}(V6,V3), P_sdtasdt0-{F}(V2,V6,V2), P_sdtasdt0-{F}(V6,V2,V7), P_sz00-{F}(V8), V2 == V8, P_sz10-{F}(V9) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #266: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V20, V4 == V6, V6 == V11, V11 == V13, V13 == V21; #250 ), references = 1, size of lhs = 27:
% 10.53/10.70 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), sdtlseqdt0-{F}(V5,V6), V5 == V6, aNaturalNumber0-{F}(V6), P_xm-{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), aNaturalNumber0-{F}(V7), P_xn-{F}(V7), P_sdtasdt0-{F}(V4,V5,V7), aNaturalNumber0-{F}(V8), aNaturalNumber0-{F}(V9), P_sdtasdt0-{F}(V6,V9,V8), P_sdtasdt0-{F}(V9,V6,V8), P_sdtpldt0-{F}(V4,V9,V7), P_sdtasdt0-{F}(V5,V4,V10), P_sz00-{F}(V11), V4 == V11, P_sz10-{F}(V12) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #308: mergings( V3 == V8, V8 == V10, V4 == V9, V9 == V11; #301 ), references = 2, size of lhs = 14:
% 10.53/10.70 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), aNaturalNumber0-{F}(V3), P_xn-{F}(V3), P_sdtasdt0-{F}(V3,V1,V3), P_sdtasdt0-{F}(V1,V3,V3), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V0,V3,V4), aNaturalNumber0-{F}(V4), P_sz00-{F}(V5), P_sz10-{F}(V6) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #319: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V14, V14 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V17; #302 ), references = 1, size of lhs = 14:
% 10.53/10.70 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V3), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), aNaturalNumber0-{F}(V4), P_xn-{F}(V4), P_sdtasdt0-{F}(V4,V2,V4), P_sdtasdt0-{F}(V4,V1,V0), P_sdtasdt0-{F}(V2,V4,V4), P_sdtasdt0-{F}(V1,V4,V0), P_sz00-{F}(V5), P_sz10-{F}(V6) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #330: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V14, V14 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V20; #303 ), references = 1, size of lhs = 20:
% 10.53/10.70 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V3), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), P_xn-{F}(V5), aNaturalNumber0-{F}(V6), P_sdtasdt0-{F}(V3,V6,V4), P_sdtasdt0-{F}(V6,V3,V4), aNaturalNumber0-{F}(V7), P_sdtpldt0-{F}(V7,V6,V5), P_sdtasdt0-{F}(V7,V2,V5), P_sdtasdt0-{F}(V7,V1,V0), P_sdtasdt0-{F}(V2,V7,V5), P_sdtasdt0-{F}(V1,V7,V0), P_sz00-{F}(V8), P_sz10-{F}(V9) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #361: mergings( V3 == V10, V4 == V11; #358 ), references = 1, size of lhs = 17:
% 10.53/10.70 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V0,V3,V4), aNaturalNumber0-{F}(V5), V5 == V3, sdtlseqdt0-{F}(V5,V3), P_sdtasdt0-{F}(V2,V5,V2), P_sdtasdt0-{F}(V5,V2,V6), P_sz00-{F}(V7), V2 == V7, P_sz10-{F}(V8) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #387: mergings( V1 == V3, V3 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V2 == V4, V4 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V5 == V17; #370 ), references = 1, size of lhs = 7:
% 10.53/10.70 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), P_xm-{F}(V2), V2 == V0, V1 == V2 | P_xn-{T}(V0)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #425: mergings( V1 == V3, V3 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V22, V2 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23; #401 ), references = 1, size of lhs = 5:
% 10.53/10.70 aNaturalNumber0-{F}(V0), sdtlseqdt0-{F}(V0,V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1) | P_xm-{T}(V0), P_xm-{T}(V1)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #447: mergings( V1 == V3, V3 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V22, V2 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23; #402 ), references = 1, size of lhs = 6:
% 10.53/10.70 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V2,V0) | P_xm-{T}(V0), P_xm-{T}(V1)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #472: mergings( V1 == V3, V3 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V22, V22 == V25, V2 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V26, V24 == V25; #403 ), references = 1, size of lhs = 5:
% 10.53/10.70 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtasdt0-{F}(V1,V1,V1), P_sz00-{F}(V1) | P_xm-{T}(V1), P_xm-{T}(V0)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #496: mergings( V0 == V2, V2 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V23, V1 == V3, V3 == V4, V4 == V5, V5 == V8, V8 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V10; #473 ), references = 1, size of lhs = 5:
% 10.53/10.70 aNaturalNumber0-{F}(V0), sdtlseqdt0-{F}(V0,V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1) | P_xm-{T}(V0)
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #513: 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; #500 ), references = 1, size of lhs = 2:
% 10.53/10.70 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 #516: exists( #54, #514 ), references = 1, size of lhs = 0:
% 10.53/10.70 FALSE | FALSE
% 10.53/10.70 (used 0 times, uses = {})
% 10.53/10.70
% 10.53/10.70 number of learnt formulas = 33
% 10.53/10.70
% 10.53/10.70
% 10.53/10.70 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.53/10.70
% 10.53/10.70 randbase = 1
%------------------------------------------------------------------------------