TSTP Solution File: NUM462+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM462+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 27.91s 28.09s
% Output : Refutation 27.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM462+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat Jul 23 00:06:56 EDT 2022
% 0.13/0.36 % CPUTime :
% 27.91/28.09 GeoParameters:
% 27.91/28.09
% 27.91/28.09 tptp_input = 1
% 27.91/28.09 tptp_output = 0
% 27.91/28.09 nonempty = 1
% 27.91/28.09 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.91/28.09 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 27.91/28.09
% 27.91/28.09
% 27.91/28.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.91/28.09 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.91/28.09
% 27.91/28.09 RuleSystem INPUT:
% 27.91/28.09
% 27.91/28.09 Initial Rules:
% 27.91/28.09 #0: input, references = 4, size of lhs = 1:
% 27.91/28.09 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #1: input, references = 3, size of lhs = 2:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #2: input, references = 3, size of lhs = 2:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #3: input, references = 15, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #4: input, references = 15, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #5: input, references = 4, size of lhs = 7:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #6: input, references = 4, size of lhs = 10:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #7: input, references = 4, size of lhs = 6:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #8: input, references = 3, size of lhs = 6:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #9: input, references = 4, size of lhs = 7:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #10: input, references = 3, size of lhs = 10:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #11: input, references = 4, size of lhs = 6:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #12: input, references = 3, size of lhs = 6:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #13: input, references = 4, size of lhs = 6:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #14: input, references = 4, size of lhs = 6:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #15: input, references = 6, size of lhs = 15:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #16: input, references = 5, size of lhs = 15:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #17: input, references = 4, size of lhs = 10:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #18: input, references = 3, size of lhs = 10:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #19: input, references = 8, size of lhs = 11:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #20: input, references = 8, size of lhs = 11:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #21: input, references = 4, size of lhs = 6:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #22: input, references = 4, size of lhs = 6:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #23: input, references = 4, size of lhs = 7:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #24: input, references = 3, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #25: input, references = 9, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #26: input, references = 3, size of lhs = 3:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #27: input, references = 9, size of lhs = 4:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #28: input, references = 3, size of lhs = 3:
% 27.91/28.09 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #29: input, references = 3, size of lhs = 2:
% 27.91/28.09 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #30: input, references = 4, size of lhs = 6:
% 27.91/28.09 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)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #31: input, references = 4, size of lhs = 8:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #32: input, references = 4, size of lhs = 4:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #33: input, references = 4, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #34: input, references = 3, size of lhs = 4:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #35: input, references = 3, size of lhs = 3:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #36: input, references = 3, size of lhs = 7:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #37: input, references = 3, size of lhs = 7:
% 27.91/28.09 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)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #38: input, references = 3, size of lhs = 3:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #39: input, references = 3, size of lhs = 4:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #40: input, references = 3, size of lhs = 11:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #41: input, references = 3, size of lhs = 11:
% 27.91/28.09 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)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #42: input, references = 3, size of lhs = 11:
% 27.91/28.09 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
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #43: input, references = 3, size of lhs = 11:
% 27.91/28.09 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)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #44: input, references = 6, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xl-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V2)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #45: input, references = 4, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xl-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V3)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #46: input, references = 6, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xl-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V4)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #47: input, references = 4, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V0), P_xl-{F}(V3), P_xn-{F}(V4) | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #48: input, references = 4, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xl-{F}(V4), P_xn-{F}(V4) | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #49: input, references = 4, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xl-{F}(V3), P_xn-{F}(V4) | EXISTS V5: pppp3-{T}(V5,V3,V4)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #50: input, references = 5, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xl-{F}(V3), P_xn-{F}(V4) | sdtlseqdt0-{T}(V3,V4)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #51: input, references = 4, size of lhs = 3:
% 27.91/28.09 pppp3-{F}(V0,V1,V2), P_sdtpldt0-{F}(V1,V0,V3), V3 == V2 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #52: input, references = 4, size of lhs = 2:
% 27.91/28.09 pppp3-{F}(V0,V1,V2), P_sdtpldt0-{F}(V1,V0,V3) | aNaturalNumber0-{T}(V0)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #53: input, references = 6, size of lhs = 15:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xl-{F}(V3), P_xn-{F}(V4), P_sdtasdt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V4,V6), P_sdtasdt0-{F}(V3,V2,V7), P_sdtasdt0-{F}(V4,V2,V8), P_sdtpldt0-{F}(V5,V9,V6), aNaturalNumber0-{F}(V9), P_sdtpldt0-{F}(V7,V11,V8), aNaturalNumber0-{F}(V11), V5 == V6, V7 == V8 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #54: input, references = 5, size of lhs = 14:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xl-{F}(V3), P_xn-{F}(V4), P_sdtasdt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V4,V6), P_sdtasdt0-{F}(V3,V2,V7), P_sdtasdt0-{F}(V4,V2,V8), P_sdtpldt0-{F}(V5,V9,V6), aNaturalNumber0-{F}(V9), sdtlseqdt0-{F}(V7,V8), V5 == V6, V7 == V8 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #55: input, references = 5, size of lhs = 14:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xl-{F}(V3), P_xn-{F}(V4), P_sdtasdt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V4,V6), P_sdtasdt0-{F}(V3,V2,V7), P_sdtasdt0-{F}(V4,V2,V8), sdtlseqdt0-{F}(V5,V6), P_sdtpldt0-{F}(V7,V9,V8), aNaturalNumber0-{F}(V9), V5 == V6, V7 == V8 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #56: input, references = 5, size of lhs = 13:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xl-{F}(V3), P_xn-{F}(V4), P_sdtasdt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V4,V6), P_sdtasdt0-{F}(V3,V2,V7), P_sdtasdt0-{F}(V4,V2,V8), sdtlseqdt0-{F}(V5,V6), sdtlseqdt0-{F}(V7,V8), V5 == V6, V7 == V8 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #57: input, references = 4, size of lhs = 0:
% 27.91/28.09 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #58: input, references = 4, size of lhs = 0:
% 27.91/28.09 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #59: input, references = 13, size of lhs = 2:
% 27.91/28.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #60: input, references = 18, size of lhs = 2:
% 27.91/28.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #61: input, references = 5, size of lhs = 2:
% 27.91/28.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #62: input, references = 4, size of lhs = 0:
% 27.91/28.09 FALSE | EXISTS V0: P_xm-{T}(V0)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #63: input, references = 5, size of lhs = 0:
% 27.91/28.09 FALSE | EXISTS V0: P_xl-{T}(V0)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #64: input, references = 7, size of lhs = 0:
% 27.91/28.09 FALSE | EXISTS V0: P_xn-{T}(V0)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 number of initial rules = 65
% 27.91/28.09
% 27.91/28.09 Simplifiers:
% 27.91/28.09 #65: unsound, references = 3, size of lhs = 3:
% 27.91/28.09 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #66: unsound, references = 3, size of lhs = 3:
% 27.91/28.09 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #67: unsound, references = 3, size of lhs = 3:
% 27.91/28.09 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #68: unsound, references = 3, size of lhs = 3:
% 27.91/28.09 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #69: unsound, references = 3, size of lhs = 3:
% 27.91/28.09 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #70: unsound, references = 3, size of lhs = 3:
% 27.91/28.09 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #71: unsound, references = 3, size of lhs = 3:
% 27.91/28.09 P_xl-{F}(V0), P_xl-{F}(V1), V0 == V1 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #72: unsound, references = 3, size of lhs = 3:
% 27.91/28.09 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #73: unsound, references = 3, size of lhs = 3:
% 27.91/28.09 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #74: unsound, references = 3, size of lhs = 3:
% 27.91/28.09 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #75: unsound, references = 3, size of lhs = 3:
% 27.91/28.09 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V1 == V4 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #76: unsound, references = 3, size of lhs = 3:
% 27.91/28.09 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V2 == V5 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 number of simplifiers = 12
% 27.91/28.09
% 27.91/28.09 Learnt:
% 27.91/28.09 #82: exists( #59, #7 ), references = 1, size of lhs = 5:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #83: exists( #59, #17 ), references = 2, size of lhs = 9:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V2, aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V5), P_sdtpldt0-{F}(V3,V4,V6) | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #84: exists( #59, #5 ), references = 9, size of lhs = 5:
% 27.91/28.09 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)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #86: exists( #59, #79 ), references = 6, size of lhs = 3:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #88: exists( #61, #31 ), references = 1, size of lhs = 6:
% 27.91/28.09 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)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #92: exists( #60, #14 ), references = 3, size of lhs = 4:
% 27.91/28.09 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3) | P_sdtasdt0-{T}(V0,V2,V0)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #93: exists( #60, #9 ), references = 34, size of lhs = 5:
% 27.91/28.09 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)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #105: mergings( V3 == V1, V4 == V5; #100 ), references = 3, size of lhs = 4:
% 27.91/28.09 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #107: exists( #64, #47 ), references = 1, size of lhs = 4:
% 27.91/28.09 P_sz00-{F}(V0), P_xm-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2) | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #109: exists( #63, #106 ), references = 2, size of lhs = 3:
% 27.91/28.09 P_sz00-{F}(V0), P_xm-{F}(V0), P_sz10-{F}(V1) | FALSE
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #120: mergings( V3 == V5, V4 == V1; #116 ), references = 3, size of lhs = 4:
% 27.91/28.09 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #141: mergings( V3 == V5, V4 == V6; #137 ), references = 13, size of lhs = 13:
% 27.91/28.09 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)
% 27.91/28.09 (used 0 times, uses = {})
% 27.91/28.09
% 27.91/28.09 #144: mergings( V3 == V5, V4 == V6; #138 ), references = 1, size of lhs = 13:
% 27.91/28.09 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)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #201: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V19 == V22; #184 ), references = 3, size of lhs = 19:
% 27.91/28.10 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V5), aNaturalNumber0-{F}(V5), P_xn-{F}(V5), aNaturalNumber0-{F}(V6), P_xm-{F}(V6), P_sdtasdt0-{F}(V6,V4,V1), P_sdtasdt0-{F}(V6,V3,V0), P_sdtasdt0-{F}(V4,V6,V1), P_sdtasdt0-{F}(V3,V6,V0), P_sz10-{F}(V7), P_xl-{F}(V8), P_sdtasdt0-{F}(V6,V8,V2), P_sdtasdt0-{F}(V8,V6,V2) | P_sdtpldt0-{T}(V1,V0,V2)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #216: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V19 == V22; #185 ), references = 1, size of lhs = 19:
% 27.91/28.10 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V5), aNaturalNumber0-{F}(V5), P_xn-{F}(V5), aNaturalNumber0-{F}(V6), P_xm-{F}(V6), P_sdtasdt0-{F}(V6,V4,V1), P_sdtasdt0-{F}(V6,V3,V0), P_sdtasdt0-{F}(V4,V6,V1), P_sdtasdt0-{F}(V3,V6,V0), P_sz10-{F}(V7), P_xl-{F}(V8), P_sdtasdt0-{F}(V8,V6,V2), P_sdtasdt0-{F}(V6,V8,V2) | P_sdtpldt0-{T}(V1,V0,V2)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #231: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V19 == V22; #186 ), references = 1, size of lhs = 19:
% 27.91/28.10 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V5), aNaturalNumber0-{F}(V5), P_xn-{F}(V5), aNaturalNumber0-{F}(V6), P_xm-{F}(V6), P_sdtasdt0-{F}(V6,V4,V1), P_sdtasdt0-{F}(V6,V3,V0), P_sdtasdt0-{F}(V4,V6,V1), P_sdtasdt0-{F}(V3,V6,V0), P_sz10-{F}(V7), P_xl-{F}(V8), P_sdtasdt0-{F}(V6,V8,V2), P_sdtasdt0-{F}(V8,V6,V2) | P_sdtpldt0-{T}(V1,V0,V2)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #243: mergings( V2 == V4, V3 == V6, V6 == V8; #238 ), references = 1, size of lhs = 11:
% 27.91/28.10 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V2,V1), P_xm-{F}(V2), P_xl-{F}(V3), P_sdtasdt0-{F}(V2,V3,V0), P_sdtasdt0-{F}(V3,V2,V0), P_sz10-{F}(V4) | P_sdtasdt0-{T}(V2,V2,V0)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #247: mergings( V2 == V4, V3 == V6, V6 == V8; #239 ), references = 1, size of lhs = 11:
% 27.91/28.10 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V2,V1), P_xm-{F}(V2), P_xl-{F}(V3), P_sdtasdt0-{F}(V2,V3,V0), P_sdtasdt0-{F}(V3,V2,V0), P_sz10-{F}(V4) | P_sdtasdt0-{T}(V2,V2,V0)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #282: 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; #268 ), references = 1, size of lhs = 11:
% 27.91/28.10 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)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #295: 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; #269 ), references = 1, size of lhs = 11:
% 27.91/28.10 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)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #321: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #312 ), references = 1, size of lhs = 10:
% 27.91/28.10 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xl-{F}(V4), P_sdtasdt0-{F}(V1,V4,V2), P_sdtasdt0-{F}(V4,V1,V2) | P_sdtasdt0-{T}(V1,V0,V2)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #346: mergings( V1 == V4, V4 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V2 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V21, V6 == V14, V3 == V7, V7 == V19; #327 ), references = 1, size of lhs = 6:
% 27.91/28.10 P_xm-{F}(V0), aNaturalNumber0-{F}(V1), V0 == V1, P_xl-{F}(V1), P_sz00-{F}(V1), P_sz10-{F}(V2) | P_xn-{T}(V1)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #352: exists( #59, #6 ), references = 1, size of lhs = 8:
% 27.91/28.10 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)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #353: exists( #59, #51 ), references = 2, size of lhs = 1:
% 27.91/28.10 pppp3-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V1,V0,V2)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #356: exists( #59, #15 ), references = 3, size of lhs = 12:
% 27.91/28.10 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)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #357: exists( #59, #16 ), references = 1, size of lhs = 12:
% 27.91/28.10 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)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #365: mergings( V2 == V4, V4 == V9, V3 == V5, V5 == V10; #360 ), references = 1, size of lhs = 11:
% 27.91/28.10 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_xl-{F}(V0), P_sdtpldt0-{F}(V0,V0,V1), P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V0,V3), P_sz00-{F}(V4), P_sz10-{F}(V5), P_xn-{F}(V6), P_sdtasdt0-{F}(V0,V6,V2), P_sdtasdt0-{F}(V6,V0,V2) | P_sdtasdt0-{T}(V0,V0,V2)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #378: exists( #59, #33 ), references = 2, size of lhs = 3:
% 27.91/28.10 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp1-{F}(V2,V3,V4) | P_sdtpldt0-{T}(V2,V4,V3)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #386: mergings( V0 == V6, V1 == V7; #383 ), references = 1, size of lhs = 9:
% 27.91/28.10 P_xm-{F}(V0), P_xl-{F}(V1), aNaturalNumber0-{F}(V1), P_xn-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), aNaturalNumber0-{F}(V5), P_sdtpldt0-{F}(V1,V5,V2), P_sdtpldt0-{F}(V5,V1,V6) | pppp3-{T}(V5,V1,V2)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #409: mergings( V3 == V5, V5 == V7, V7 == V14, V14 == V16, V4 == V6, V6 == V8, V8 == V15, V15 == V17; #400 ), references = 4, size of lhs = 19:
% 27.91/28.10 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V3,V0,V5), V5 == V4, P_sdtasdt0-{F}(V0,V3,V5), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V2,V3,V6), P_sz00-{F}(V7), P_sz10-{F}(V8), P_xm-{F}(V9), P_xl-{F}(V10), P_sdtasdt0-{F}(V9,V10,V5), P_sdtasdt0-{F}(V10,V9,V5), P_xn-{F}(V11), P_sdtasdt0-{F}(V9,V11,V4), P_sdtasdt0-{F}(V11,V9,V4) | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #426: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #417 ), references = 3, size of lhs = 19:
% 27.91/28.10 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), sdtlseqdt0-{F}(V1,V0), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V3), aNaturalNumber0-{F}(V3), P_sz00-{F}(V4), P_sz10-{F}(V5), P_xm-{F}(V6), P_xl-{F}(V7), P_sdtasdt0-{F}(V6,V7,V3), P_sdtasdt0-{F}(V7,V6,V3), P_xn-{F}(V8), P_sdtasdt0-{F}(V6,V8,V9), V3 == V9, P_sdtasdt0-{F}(V8,V6,V9), P_sdtasdt0-{F}(V2,V0,V9), P_sdtasdt0-{F}(V0,V2,V10) | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #439: mergings( V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14; #428 ), references = 1, size of lhs = 12:
% 27.91/28.10 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), sdtlseqdt0-{F}(V1,V0), P_xm-{F}(V1), P_xl-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xn-{F}(V4), P_sdtasdt0-{F}(V1,V4,V5), P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V1,V0,V5), P_sdtasdt0-{F}(V0,V1,V6) | P_sdtasdt0-{T}(V1,V1,V5)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #487: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #479 ), references = 1, size of lhs = 15:
% 27.91/28.10 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)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #494: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #480 ), references = 1, size of lhs = 15:
% 27.91/28.10 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)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #524: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V14, V14 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V18; #511 ), references = 1, size of lhs = 18:
% 27.91/28.10 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V4), P_xm-{F}(V4), aNaturalNumber0-{F}(V5), P_xn-{F}(V5), P_sdtasdt0-{F}(V5,V3,V1), P_sdtasdt0-{F}(V5,V2,V0), P_sdtasdt0-{F}(V3,V5,V1), P_sdtasdt0-{F}(V2,V5,V0), P_sz00-{F}(V6), P_sz10-{F}(V7), P_xl-{F}(V8), P_sdtasdt0-{F}(V4,V8,V1), P_sdtasdt0-{F}(V8,V4,V1) | P_sdtpldt0-{T}(V1,V0,V1)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #535: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V14, V14 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V18; #512 ), references = 1, size of lhs = 18:
% 27.91/28.10 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,V0), P_sdtasdt0-{F}(V2,V4,V0), P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V1,V4,V5), aNaturalNumber0-{F}(V5), P_sz00-{F}(V6), P_sz10-{F}(V7), P_xl-{F}(V8), P_sdtasdt0-{F}(V8,V3,V0), P_sdtasdt0-{F}(V3,V8,V0) | P_sdtpldt0-{T}(V0,V5,V0)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #546: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V14, V14 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V18; #513 ), references = 1, size of lhs = 18:
% 27.91/28.10 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,V0), P_sdtasdt0-{F}(V2,V4,V0), P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V1,V4,V5), aNaturalNumber0-{F}(V5), P_sz00-{F}(V6), P_sz10-{F}(V7), P_xl-{F}(V8), P_sdtasdt0-{F}(V3,V8,V0), P_sdtasdt0-{F}(V8,V3,V0) | P_sdtpldt0-{T}(V0,V5,V0)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #572: mergings( V3 == V7, V4 == V8; #568 ), references = 3, size of lhs = 14:
% 27.91/28.10 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), sdtlseqdt0-{F}(V1,V0), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V3), aNaturalNumber0-{F}(V3), P_sz00-{F}(V4), P_sz10-{F}(V5), P_xl-{F}(V6), P_sdtasdt0-{F}(V2,V6,V3), P_sdtasdt0-{F}(V6,V2,V3) | P_sdtasdt0-{T}(V2,V0,V3)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #575: mergings( V3 == V8, V4 == V9; #569 ), references = 1, size of lhs = 15:
% 27.91/28.10 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V0), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V1,V4), P_sdtasdt0-{F}(V1,V3,V4), aNaturalNumber0-{F}(V4), P_sz00-{F}(V5), P_sz10-{F}(V6), P_xl-{F}(V7), P_sdtasdt0-{F}(V3,V7,V4), P_sdtasdt0-{F}(V7,V3,V4) | P_sdtasdt0-{T}(V3,V0,V4)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #592: mergings( V2 == V4, V4 == V7, V7 == V9, V9 == V11, V3 == V5, V5 == V8, V8 == V10, V10 == V12; #582 ), references = 1, size of lhs = 10:
% 27.91/28.10 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), V0 == V1, sdtlseqdt0-{F}(V1,V0), P_xl-{F}(V1), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), V1 == V2, P_sz10-{F}(V3) | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #601: mergings( V2 == V4, V4 == V7, V7 == V9, V9 == V11, V3 == V5, V5 == V8, V8 == V10, V10 == V12; #583 ), references = 1, size of lhs = 10:
% 27.91/28.10 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), V0 == V1, sdtlseqdt0-{F}(V1,V0), P_xl-{F}(V1), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), V1 == V2, P_sz10-{F}(V3) | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #628: mergings( V1 == V4, V4 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V2 == V5, V5 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V6 == V10, V10 == V15, V3 == V7, V7 == V15; #608 ), references = 1, size of lhs = 5:
% 27.91/28.10 P_xm-{F}(V0), P_xl-{F}(V0), P_sz00-{F}(V1), V0 == V1, P_sz10-{F}(V2) | P_xn-{T}(V0)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #650: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #644 ), references = 3, size of lhs = 13:
% 27.91/28.10 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), sdtlseqdt0-{F}(V1,V0), P_xl-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_xn-{F}(V5), P_sdtasdt0-{F}(V2,V5,V6), P_sdtasdt0-{F}(V5,V2,V6), P_sdtasdt0-{F}(V2,V0,V6), P_sdtasdt0-{F}(V0,V2,V7) | P_sdtasdt0-{T}(V2,V1,V6)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #655: mergings( V3 == V5, V5 == V11, V4 == V6, V6 == V12; #645 ), references = 1, size of lhs = 13:
% 27.91/28.10 aNaturalNumber0-{F}(V0), P_xl-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V5), P_sz00-{F}(V6), P_sz10-{F}(V7), P_xn-{F}(V8), P_sdtasdt0-{F}(V3,V8,V4), P_sdtasdt0-{F}(V8,V3,V4) | P_sdtasdt0-{T}(V3,V0,V4)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #675: mergings( V2 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V3 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V4 == V18; #663 ), references = 1, size of lhs = 14:
% 27.91/28.10 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), sdtlseqdt0-{F}(V0,V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_sdtpldt0-{F}(V1,V1,V4), P_sdtasdt0-{F}(V1,V4,V5), P_sdtasdt0-{F}(V4,V1,V6), P_sdtasdt0-{F}(V0,V4,V7), V7 == V5, P_sdtasdt0-{F}(V4,V0,V8) | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #686: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #680 ), references = 1, size of lhs = 10:
% 27.91/28.10 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), sdtlseqdt0-{F}(V0,V1), V1 == V0, P_xm-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), V1 == V2, P_sz10-{F}(V3) | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #691: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #681 ), references = 1, size of lhs = 10:
% 27.91/28.10 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), sdtlseqdt0-{F}(V0,V1), V1 == V0, P_xm-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), V1 == V2, P_sz10-{F}(V3) | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #735: mergings( V3 == V5, V5 == V10, V10 == V13, V13 == V16, V16 == V18, V4 == V6, V6 == V11, V11 == V14, V14 == V17, V17 == V19; #723 ), references = 2, size of lhs = 20:
% 27.91/28.10 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), P_xm-{F}(V4), aNaturalNumber0-{F}(V4), P_xn-{F}(V5), aNaturalNumber0-{F}(V5), P_xl-{F}(V6), V5 == V6, sdtlseqdt0-{F}(V6,V5), aNaturalNumber0-{F}(V6), P_sdtasdt0-{F}(V6,V3,V1), P_sdtasdt0-{F}(V6,V2,V0), P_sdtasdt0-{F}(V3,V6,V1), P_sdtasdt0-{F}(V2,V6,V0), P_sz00-{F}(V7), V4 == V7, P_sz10-{F}(V8) | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #746: mergings( V3 == V5, V5 == V10, V10 == V13, V13 == V16, V16 == V18, V4 == V6, V6 == V11, V11 == V14, V14 == V17, V17 == V19; #724 ), references = 2, size of lhs = 20:
% 27.91/28.10 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), P_xm-{F}(V4), aNaturalNumber0-{F}(V4), P_xn-{F}(V5), aNaturalNumber0-{F}(V5), P_xl-{F}(V6), V5 == V6, sdtlseqdt0-{F}(V6,V5), aNaturalNumber0-{F}(V6), P_sdtasdt0-{F}(V6,V3,V1), P_sdtasdt0-{F}(V6,V2,V0), P_sdtasdt0-{F}(V3,V6,V1), P_sdtasdt0-{F}(V2,V6,V0), P_sz00-{F}(V7), V4 == V7, P_sz10-{F}(V8) | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #798: mergings( V3 == V5, V5 == V11, V4 == V6, V6 == V12; #792 ), references = 1, size of lhs = 17:
% 27.91/28.10 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V3), P_xm-{F}(V3), aNaturalNumber0-{F}(V3), P_xn-{F}(V4), aNaturalNumber0-{F}(V4), P_xl-{F}(V5), V4 == V5, sdtlseqdt0-{F}(V5,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V1,V0), P_sdtasdt0-{F}(V1,V5,V0), P_sz00-{F}(V6), V3 == V6, P_sz10-{F}(V7) | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #803: mergings( V3 == V5, V5 == V11, V4 == V6, V6 == V12; #793 ), references = 1, size of lhs = 17:
% 27.91/28.10 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V3), P_xm-{F}(V3), aNaturalNumber0-{F}(V3), P_xn-{F}(V4), aNaturalNumber0-{F}(V4), P_xl-{F}(V5), V4 == V5, sdtlseqdt0-{F}(V5,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V1,V0), P_sdtasdt0-{F}(V1,V5,V0), P_sz00-{F}(V6), V3 == V6, P_sz10-{F}(V7) | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #841: mergings( V1 == V4, V4 == V7, V7 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V24, V2 == V5, V5 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V25, V6 == V9, V9 == V17, V17 == V22, V3 == V10, V10 == V23; #818 ), references = 1, size of lhs = 6:
% 27.91/28.10 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xm-{F}(V1), V1 == V0, P_xl-{F}(V2), P_sz10-{F}(V3) | P_xn-{T}(V2)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #873: mergings( V1 == V3, V3 == V6, V6 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V21, V21 == V23, V2 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V22, V22 == V24, V5 == V8, V8 == V15, V15 == V20, V20 == V25; #850 ), references = 1, size of lhs = 5:
% 27.91/28.10 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), V2 == V0 | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #893: mergings( V1 == V3, V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V2 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #874 ), references = 1, size of lhs = 3:
% 27.91/28.10 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_xm-{T}(V0)
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #904: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #895 ), references = 1, size of lhs = 2:
% 27.91/28.10 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 #907: exists( #57, #905 ), references = 1, size of lhs = 0:
% 27.91/28.10 FALSE | FALSE
% 27.91/28.10 (used 0 times, uses = {})
% 27.91/28.10
% 27.91/28.10 number of learnt formulas = 56
% 27.91/28.10
% 27.91/28.10
% 27.91/28.10 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.91/28.10
% 27.91/28.10 randbase = 1
%------------------------------------------------------------------------------