TSTP Solution File: NUM461+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM461+2 : 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 06:12:32 EDT 2022
% Result : Theorem 48.90s 49.13s
% Output : Refutation 48.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM461+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n026.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 23:31:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 48.90/49.13 GeoParameters:
% 48.90/49.13
% 48.90/49.13 tptp_input = 1
% 48.90/49.13 tptp_output = 0
% 48.90/49.13 nonempty = 1
% 48.90/49.13 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.90/49.13 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 48.90/49.13
% 48.90/49.13
% 48.90/49.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.90/49.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.90/49.13
% 48.90/49.13 RuleSystem INPUT:
% 48.90/49.13
% 48.90/49.13 Initial Rules:
% 48.90/49.13 #0: input, references = 3, size of lhs = 1:
% 48.90/49.13 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #1: input, references = 3, size of lhs = 2:
% 48.90/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #2: input, references = 3, size of lhs = 2:
% 48.90/49.13 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #3: input, references = 16, size of lhs = 5:
% 48.90/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #4: input, references = 3, size of lhs = 5:
% 48.90/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #5: input, references = 5, size of lhs = 7:
% 48.90/49.13 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
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #6: input, references = 4, size of lhs = 10:
% 48.90/49.13 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
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #7: input, references = 5, size of lhs = 6:
% 48.90/49.13 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
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #8: input, references = 5, size of lhs = 6:
% 48.90/49.13 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
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #9: input, references = 4, size of lhs = 7:
% 48.90/49.13 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
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #10: input, references = 4, size of lhs = 10:
% 48.90/49.13 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
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #11: input, references = 4, size of lhs = 6:
% 48.90/49.13 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
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #12: input, references = 3, size of lhs = 6:
% 48.90/49.13 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
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #13: input, references = 4, size of lhs = 6:
% 48.90/49.13 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
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #14: input, references = 4, size of lhs = 6:
% 48.90/49.13 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
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #15: input, references = 5, size of lhs = 15:
% 48.90/49.13 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
% 48.90/49.13 (used 0 times, uses = {})
% 48.90/49.13
% 48.90/49.13 #16: input, references = 5, size of lhs = 15:
% 48.90/49.13 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
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #17: input, references = 6, size of lhs = 10:
% 48.98/49.13 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
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #18: input, references = 5, size of lhs = 10:
% 48.98/49.13 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
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #19: input, references = 5, size of lhs = 11:
% 48.98/49.13 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
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #20: input, references = 5, size of lhs = 11:
% 48.98/49.13 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
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #21: input, references = 3, size of lhs = 6:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #22: input, references = 3, size of lhs = 6:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #23: input, references = 3, size of lhs = 7:
% 48.98/49.13 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
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #24: input, references = 4, size of lhs = 5:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #25: input, references = 6, size of lhs = 5:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #26: input, references = 6, size of lhs = 3:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #27: input, references = 6, size of lhs = 4:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #28: input, references = 5, size of lhs = 3:
% 48.98/49.13 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #29: input, references = 9, size of lhs = 2:
% 48.98/49.13 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #30: input, references = 3, size of lhs = 6:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #31: input, references = 7, size of lhs = 8:
% 48.98/49.13 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
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #32: input, references = 3, size of lhs = 4:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #33: input, references = 4, size of lhs = 5:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #34: input, references = 9, size of lhs = 4:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #35: input, references = 3, size of lhs = 3:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #36: input, references = 4, size of lhs = 7:
% 48.98/49.13 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
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #37: input, references = 3, size of lhs = 7:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #38: input, references = 3, size of lhs = 3:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #39: input, references = 3, size of lhs = 4:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #40: input, references = 4, size of lhs = 4:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #41: input, references = 4, size of lhs = 4:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V3)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #42: input, references = 4, size of lhs = 4:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V3), P_xn-{F}(V3) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #43: input, references = 4, size of lhs = 4:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xn-{F}(V3) | EXISTS V4: pppp3-{T}(V4,V2,V3)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #44: input, references = 4, size of lhs = 4:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xn-{F}(V3) | sdtlseqdt0-{T}(V2,V3)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #45: input, references = 4, size of lhs = 3:
% 48.98/49.13 pppp3-{F}(V0,V1,V2), P_sdtpldt0-{F}(V1,V0,V3), V3 == V2 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #46: input, references = 6, size of lhs = 2:
% 48.98/49.13 pppp3-{F}(V0,V1,V2), P_sdtpldt0-{F}(V1,V0,V3) | aNaturalNumber0-{T}(V0)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #47: input, references = 6, size of lhs = 5:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xn-{F}(V3), P_xm-{F}(V4) | aNaturalNumber0-{T}(V4)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #48: input, references = 6, size of lhs = 15:
% 48.98/49.13 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), P_sdtpldt0-{F}(V5,V9,V6), aNaturalNumber0-{F}(V9), P_sdtpldt0-{F}(V7,V11,V8), aNaturalNumber0-{F}(V11), V5 == V6, V7 == V8 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #49: input, references = 3, size of lhs = 14:
% 48.98/49.13 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), P_sdtpldt0-{F}(V5,V9,V6), aNaturalNumber0-{F}(V9), sdtlseqdt0-{F}(V7,V8), V5 == V6, V7 == V8 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #50: input, references = 3, size of lhs = 14:
% 48.98/49.13 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), P_sdtpldt0-{F}(V7,V9,V8), aNaturalNumber0-{F}(V9), V5 == V6, V7 == V8 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #51: input, references = 3, size of lhs = 13:
% 48.98/49.13 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
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #52: input, references = 4, size of lhs = 0:
% 48.98/49.13 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #53: input, references = 4, size of lhs = 0:
% 48.98/49.13 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #54: input, references = 21, size of lhs = 2:
% 48.98/49.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #55: input, references = 7, size of lhs = 2:
% 48.98/49.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #56: input, references = 5, size of lhs = 2:
% 48.98/49.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #57: input, references = 4, size of lhs = 0:
% 48.98/49.13 FALSE | EXISTS V0: P_xl-{T}(V0)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #58: input, references = 5, size of lhs = 0:
% 48.98/49.13 FALSE | EXISTS V0: P_xn-{T}(V0)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #59: input, references = 4, size of lhs = 0:
% 48.98/49.13 FALSE | EXISTS V0: P_xm-{T}(V0)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 number of initial rules = 60
% 48.98/49.13
% 48.98/49.13 Simplifiers:
% 48.98/49.13 #60: unsound, references = 3, size of lhs = 3:
% 48.98/49.13 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #61: unsound, references = 3, size of lhs = 3:
% 48.98/49.13 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #62: unsound, references = 3, size of lhs = 3:
% 48.98/49.13 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #63: unsound, references = 3, size of lhs = 3:
% 48.98/49.13 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #64: unsound, references = 3, size of lhs = 3:
% 48.98/49.13 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #65: unsound, references = 3, size of lhs = 3:
% 48.98/49.13 P_xl-{F}(V0), P_xl-{F}(V1), V0 == V1 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #66: unsound, references = 3, size of lhs = 3:
% 48.98/49.13 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #67: unsound, references = 3, size of lhs = 3:
% 48.98/49.13 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #68: unsound, references = 3, size of lhs = 3:
% 48.98/49.13 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #69: unsound, references = 3, size of lhs = 3:
% 48.98/49.13 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #70: unsound, references = 3, size of lhs = 3:
% 48.98/49.13 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V1 == V4 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #71: unsound, references = 3, size of lhs = 3:
% 48.98/49.13 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V2 == V5 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 number of simplifiers = 12
% 48.98/49.13
% 48.98/49.13 Learnt:
% 48.98/49.13 #76: exists( #54, #7 ), references = 1, size of lhs = 3:
% 48.98/49.13 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #78: exists( #56, #31 ), references = 3, size of lhs = 6:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #82: exists( #54, #7 ), references = 1, size of lhs = 5:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #84: mergings( V4 == V1; #81 ), references = 1, size of lhs = 4:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2) | P_sdtpldt0-{T}(V0,V2,V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #86: exists( #54, #80 ), references = 4, size of lhs = 3:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #91: exists( #55, #13 ), references = 1, size of lhs = 5:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #93: mergings( V4 == V0; #88 ), references = 2, size of lhs = 4:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V0) | P_sdtasdt0-{T}(V0,V2,V0)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #94: exists( #55, #9 ), references = 14, size of lhs = 5:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #96: exists( #55, #90 ), references = 2, size of lhs = 3:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #101: exists( #54, #5 ), references = 22, size of lhs = 5:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #106: mergings( V3 == V5, V4 == V6; #103 ), references = 1, size of lhs = 9:
% 48.98/49.13 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), P_xl-{F}(V3), P_xm-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), P_sdtpldt0-{F}(V3,V4,V0), aNaturalNumber0-{F}(V4) | P_sdtpldt0-{T}(V4,V0,V0)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #128: mergings( V3 == V5, V4 == V1; #124 ), references = 4, size of lhs = 4:
% 48.98/49.13 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #144: exists( #54, #45 ), references = 4, size of lhs = 1:
% 48.98/49.13 pppp3-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V1,V0,V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #163: mergings( V3 == V5, V4 == V6; #159 ), references = 9, size of lhs = 13:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #166: mergings( V3 == V5, V4 == V6; #160 ), references = 1, size of lhs = 13:
% 48.98/49.13 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V5,V0,V11)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #187: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #179 ), references = 2, size of lhs = 15:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #194: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #180 ), references = 1, size of lhs = 15:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #217: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #212 ), references = 3, size of lhs = 8:
% 48.98/49.13 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), P_xn-{F}(V1), aNaturalNumber0-{F}(V1), sdtlseqdt0-{F}(V0,V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_sdtmndt0-{F}(V1,V0,V4) | pppp3-{T}(V4,V0,V1)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #258: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #247 ), references = 1, size of lhs = 18:
% 48.98/49.13 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aNaturalNumber0-{F}(V4), 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,V1,V0), P_sdtasdt0-{F}(V11,V0,V1), P_sdtasdt0-{F}(V1,V11,V0), P_sdtasdt0-{F}(V0,V11,V1), P_sdtasdt0-{F}(V11,V7,V12), V7 == V12 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #297: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V20, V20 == V22, V22 == V24, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V21, V21 == V23, V23 == V25; #281 ), references = 2, size of lhs = 22:
% 48.98/49.13 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{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), V2 == V9, P_sz10-{F}(V10), aNaturalNumber0-{F}(V11), P_sdtasdt0-{F}(V2,V11,V12), P_sdtasdt0-{F}(V11,V2,V13), aNaturalNumber0-{F}(V14), V14 == V11, sdtlseqdt0-{F}(V11,V14), P_sdtasdt0-{F}(V2,V14,V15), P_sdtpldt0-{F}(V15,V5,V12), P_sdtasdt0-{F}(V14,V2,V16), P_sdtpldt0-{F}(V16,V5,V17) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #301: exists( #54, #28 ), references = 7, size of lhs = 1:
% 48.98/49.13 pppp2-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #330: mergings( V0 == V2, V1 == V5, V5 == V6; #324 ), references = 1, size of lhs = 3:
% 48.98/49.13 P_sz00-{F}(V0), pppp0-{F}(V0,V1), P_sz10-{F}(V2) | pppp2-{T}(V0,V1,V1)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #336: mergings( V0 == V2, V2 == V6, V1 == V5, V5 == V7, V9 == V8; #326 ), references = 1, size of lhs = 7:
% 48.98/49.13 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), pppp0-{F}(V0,V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V3,V1), P_sdtpldt0-{F}(V3,V0,V3) | pppp2-{T}(V0,V1,V3)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #366: exists( #54, #15 ), references = 1, size of lhs = 12:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #367: exists( #54, #16 ), references = 1, size of lhs = 12:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #397: exists( #54, #6 ), references = 2, size of lhs = 8:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #405: mergings( V2 == V6, V6 == V8, V3 == V7, V7 == V9; #400 ), references = 1, size of lhs = 13:
% 48.98/49.13 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_xl-{F}(V5), P_sdtpldt0-{F}(V0,V5,V2), P_sdtpldt0-{F}(V5,V0,V2), aNaturalNumber0-{F}(V6), P_sdtpldt0-{F}(V6,V1,V0) | P_sdtpldt0-{T}(V0,V0,V2)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #424: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15; #412 ), references = 2, size of lhs = 10:
% 48.98/49.13 P_xn-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V0), P_xl-{F}(V1), V1 == V0, aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V0), P_sz00-{F}(V3), P_sz10-{F}(V4) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #435: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15; #413 ), references = 2, size of lhs = 10:
% 48.98/49.13 P_xn-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V0), P_xl-{F}(V1), V1 == V0, aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V0), P_sz00-{F}(V3), P_sz10-{F}(V4) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #475: 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; #460 ), references = 1, size of lhs = 11:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #488: 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; #461 ), references = 1, size of lhs = 11:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #507: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V4 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V21 == V20; #462 ), references = 1, size of lhs = 14:
% 48.98/49.13 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), aNaturalNumber0-{F}(V4), V1 == V4, sdtlseqdt0-{F}(V4,V1), P_sdtasdt0-{F}(V4,V3,V2), P_sdtasdt0-{F}(V4,V2,V3), P_sdtasdt0-{F}(V3,V4,V2), P_sdtasdt0-{F}(V2,V4,V3) | P_sdtpldt0-{T}(V2,V3,V0)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #544: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #538 ), references = 1, size of lhs = 9:
% 48.98/49.13 P_xn-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V0), P_xl-{F}(V1), V1 == V0, sdtlseqdt0-{F}(V1,V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #549: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #539 ), references = 1, size of lhs = 9:
% 48.98/49.13 P_xn-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V0), P_xl-{F}(V1), V1 == V0, sdtlseqdt0-{F}(V1,V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #570: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #565 ), references = 2, size of lhs = 7:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #601: mergings( V3 == V5, V5 == V9, V9 == V11, V4 == V6, V6 == V10, V10 == V12; #594 ), references = 4, size of lhs = 14:
% 48.98/49.13 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), 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), aNaturalNumber0-{F}(V7), P_sdtpldt0-{F}(V7,V2,V0) | P_sdtpldt0-{T}(V1,V0,V3)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #669: mergings( V0 == V5, V5 == V9, V1 == V6, V6 == V10; #662 ), references = 1, size of lhs = 15:
% 48.98/49.13 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), pppp2-{F}(V1,V7,V0), V3 == V7 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #676: mergings( V0 == V5, V5 == V9, V9 == V12, V1 == V6, V6 == V10, V10 == V13; #663 ), references = 1, size of lhs = 15:
% 48.98/49.13 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_xl-{F}(V4), P_sdtpldt0-{F}(V1,V4,V3), P_sdtpldt0-{F}(V4,V1,V3), P_sz00-{F}(V5), P_sz10-{F}(V6), pppp1-{F}(V1,V7,V0), V3 == V7 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #683: mergings( V0 == V5, V5 == V9, V9 == V12, V1 == V6, V6 == V10, V10 == V13; #664 ), references = 1, size of lhs = 15:
% 48.98/49.13 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), pppp0-{F}(V2,V0), P_sdtpldt0-{F}(V2,V1,V3), aNaturalNumber0-{F}(V3), P_xl-{F}(V4), P_sdtpldt0-{F}(V1,V4,V3), P_sdtpldt0-{F}(V4,V1,V3), P_sz00-{F}(V5), P_sz10-{F}(V6), P_sdtpldt0-{F}(V0,V1,V7), V3 == V7 | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #703: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V12, V12 == V15; #692 ), references = 1, size of lhs = 13:
% 48.98/49.13 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_xl-{F}(V4), P_sdtpldt0-{F}(V1,V4,V3), P_sdtpldt0-{F}(V4,V1,V3), P_sz00-{F}(V5), P_sz10-{F}(V6) | P_sdtpldt0-{T}(V1,V0,V3)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #712: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V12, V12 == V15; #693 ), references = 1, size of lhs = 13:
% 48.98/49.13 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), pppp0-{F}(V2,V0), P_sdtpldt0-{F}(V2,V1,V3), aNaturalNumber0-{F}(V3), P_xl-{F}(V4), P_sdtpldt0-{F}(V1,V4,V3), P_sdtpldt0-{F}(V4,V1,V3), P_sz00-{F}(V5), P_sz10-{F}(V6) | P_sdtpldt0-{T}(V1,V0,V3)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #729: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V22; #694 ), references = 1, size of lhs = 13:
% 48.98/49.13 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)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #765: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21; #746 ), references = 1, size of lhs = 10:
% 48.98/49.13 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), aNaturalNumber0-{F}(V1), P_xl-{F}(V2), V0 == V2, pppp0-{F}(V2,V0), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #782: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21; #747 ), references = 1, size of lhs = 10:
% 48.98/49.13 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), aNaturalNumber0-{F}(V1), P_xl-{F}(V2), V0 == V2, pppp0-{F}(V2,V0), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #807: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V29; #748 ), references = 1, size of lhs = 10:
% 48.98/49.13 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V0 == V2, pppp0-{F}(V2,V0), P_xl-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #834: mergings( V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V23, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V24, V3 == V18, V4 == V15; #811 ), references = 1, size of lhs = 8:
% 48.98/49.13 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xl-{F}(V1), V0 == V1, pppp0-{F}(V1,V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #855: mergings( V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V23, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V24, V3 == V18, V4 == V15; #812 ), references = 1, size of lhs = 8:
% 48.98/49.13 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xl-{F}(V1), V0 == V1, pppp0-{F}(V1,V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #884: mergings( V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V27, V27 == V29, V29 == V31, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V28, V28 == V30, V30 == V32, V3 == V24, V4 == V23; #813 ), references = 1, size of lhs = 8:
% 48.98/49.13 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), V0 == V1, pppp0-{F}(V1,V0), P_xl-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #923: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V2 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V29, V3 == V10, V10 == V23; #894 ), references = 2, size of lhs = 4:
% 48.98/49.13 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2) | P_xn-{T}(V0)
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #932: mergings( V1 == V4, V4 == V6, V2 == V5, V5 == V7; #927 ), references = 1, size of lhs = 3:
% 48.98/49.13 P_xl-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #938: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #933 ), references = 1, size of lhs = 2:
% 48.98/49.13 P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #942: mergings( V1 == V2, V2 == V3; #939 ), references = 1, size of lhs = 1:
% 48.98/49.13 P_sz00-{F}(V0) | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 #944: exists( #52, #939 ), references = 1, size of lhs = 0:
% 48.98/49.13 FALSE | FALSE
% 48.98/49.13 (used 0 times, uses = {})
% 48.98/49.13
% 48.98/49.13 number of learnt formulas = 53
% 48.98/49.13
% 48.98/49.13
% 48.98/49.13 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.98/49.13
% 48.98/49.13 randbase = 1
%------------------------------------------------------------------------------