TSTP Solution File: NUM460+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM460+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:12:31 EDT 2022
% Result : Theorem 61.04s 61.22s
% Output : Refutation 61.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM460+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 23:52:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 61.04/61.22 GeoParameters:
% 61.04/61.22
% 61.04/61.22 tptp_input = 1
% 61.04/61.22 tptp_output = 0
% 61.04/61.22 nonempty = 1
% 61.04/61.22 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.04/61.22 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 61.04/61.22
% 61.04/61.22
% 61.04/61.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.04/61.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.04/61.22
% 61.04/61.22 RuleSystem INPUT:
% 61.04/61.22
% 61.04/61.22 Initial Rules:
% 61.04/61.22 #0: input, references = 3, size of lhs = 1:
% 61.04/61.22 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #1: input, references = 3, size of lhs = 2:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #2: input, references = 3, size of lhs = 2:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #3: input, references = 6, size of lhs = 5:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #4: input, references = 3, size of lhs = 5:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #5: input, references = 4, size of lhs = 7:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #6: input, references = 4, size of lhs = 10:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #7: input, references = 4, size of lhs = 6:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #8: input, references = 4, size of lhs = 6:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #9: input, references = 4, size of lhs = 7:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #10: input, references = 3, size of lhs = 10:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #11: input, references = 4, size of lhs = 6:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #12: input, references = 3, size of lhs = 6:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #13: input, references = 5, size of lhs = 6:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #14: input, references = 4, size of lhs = 6:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #15: input, references = 6, size of lhs = 15:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #16: input, references = 4, size of lhs = 15:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #17: input, references = 3, size of lhs = 10:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #18: input, references = 4, size of lhs = 10:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #19: input, references = 4, size of lhs = 11:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #20: input, references = 4, size of lhs = 11:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #21: input, references = 3, size of lhs = 6:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #22: input, references = 4, size of lhs = 6:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #23: input, references = 3, size of lhs = 7:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #24: input, references = 4, size of lhs = 5:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #25: input, references = 6, size of lhs = 5:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #26: input, references = 5, size of lhs = 3:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #27: input, references = 6, size of lhs = 4:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #28: input, references = 4, size of lhs = 3:
% 61.04/61.22 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #29: input, references = 5, size of lhs = 2:
% 61.04/61.22 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #30: input, references = 7, size of lhs = 6:
% 61.04/61.22 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)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #31: input, references = 4, size of lhs = 8:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #32: input, references = 5, size of lhs = 4:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #33: input, references = 4, size of lhs = 5:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #34: input, references = 3, size of lhs = 4:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #35: input, references = 5, size of lhs = 3:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #36: input, references = 4, size of lhs = 7:
% 61.04/61.22 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
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #37: input, references = 5, size of lhs = 5:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_xl-{F}(V4) | aNaturalNumber0-{T}(V2)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #38: input, references = 4, size of lhs = 5:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_xl-{F}(V4) | aNaturalNumber0-{T}(V3)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #39: input, references = 5, size of lhs = 5:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_xl-{F}(V4) | aNaturalNumber0-{T}(V4)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #40: input, references = 5, size of lhs = 5:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_xl-{F}(V4) | sdtlseqdt0-{T}(V2,V3)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #41: input, references = 5, size of lhs = 5:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_xl-{F}(V4) | sdtlseqdt0-{T}(V3,V4)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #42: input, references = 6, size of lhs = 6:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_xl-{F}(V4), sdtlseqdt0-{F}(V2,V4) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #43: input, references = 4, size of lhs = 0:
% 61.04/61.22 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #44: input, references = 4, size of lhs = 0:
% 61.04/61.22 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #45: input, references = 12, size of lhs = 2:
% 61.04/61.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #46: input, references = 9, size of lhs = 2:
% 61.04/61.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #47: input, references = 6, size of lhs = 2:
% 61.04/61.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #48: input, references = 4, size of lhs = 0:
% 61.04/61.22 FALSE | EXISTS V0: P_xm-{T}(V0)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #49: input, references = 6, size of lhs = 0:
% 61.04/61.22 FALSE | EXISTS V0: P_xn-{T}(V0)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #50: input, references = 8, size of lhs = 0:
% 61.04/61.22 FALSE | EXISTS V0: P_xl-{T}(V0)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 number of initial rules = 51
% 61.04/61.22
% 61.04/61.22 Simplifiers:
% 61.04/61.22 #51: unsound, references = 3, size of lhs = 3:
% 61.04/61.22 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #52: unsound, references = 3, size of lhs = 3:
% 61.04/61.22 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #53: unsound, references = 3, size of lhs = 3:
% 61.04/61.22 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #54: unsound, references = 3, size of lhs = 3:
% 61.04/61.22 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #55: unsound, references = 3, size of lhs = 3:
% 61.04/61.22 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #56: unsound, references = 3, size of lhs = 3:
% 61.04/61.22 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #57: unsound, references = 3, size of lhs = 3:
% 61.04/61.22 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #58: unsound, references = 3, size of lhs = 3:
% 61.04/61.22 P_xl-{F}(V0), P_xl-{F}(V1), V0 == V1 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #59: unsound, references = 3, size of lhs = 3:
% 61.04/61.22 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 number of simplifiers = 9
% 61.04/61.22
% 61.04/61.22 Learnt:
% 61.04/61.22 #65: exists( #45, #7 ), references = 1, size of lhs = 3:
% 61.04/61.22 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #67: exists( #47, #31 ), references = 1, size of lhs = 6:
% 61.04/61.22 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)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #77: exists( #45, #33 ), references = 5, size of lhs = 3:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp1-{F}(V2,V3,V4) | P_sdtpldt0-{T}(V2,V4,V3)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #80: exists( #45, #8 ), references = 4, size of lhs = 4:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3) | P_sdtpldt0-{T}(V0,V2,V2)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #81: exists( #45, #5 ), references = 2, size of lhs = 5:
% 61.04/61.22 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)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #94: mergings( V1 == V4, V3 == V5; #91 ), references = 2, size of lhs = 8:
% 61.04/61.22 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V2,V3,V3), P_sdtpldt0-{F}(V3,V2,V4) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #111: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #102 ), references = 3, size of lhs = 5:
% 61.04/61.22 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), sdtlseqdt0-{F}(V2,V2) | P_sdtmndt0-{T}(V2,V2,V0)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #118: mergings( V1 == V5, V2 == V6, V3 == V4, V4 == V7; #113 ), references = 1, size of lhs = 4:
% 61.04/61.22 P_xm-{F}(V0), P_xn-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #146: mergings( V1 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V2 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V3 == V18, V4 == V20; #128 ), references = 1, size of lhs = 5:
% 61.04/61.22 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #164: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V2 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V3 == V17; #147 ), references = 1, size of lhs = 4:
% 61.04/61.22 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #199: mergings( V1 == V4, V4 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V2 == V5, V5 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V3 == V20; #180 ), references = 1, size of lhs = 6:
% 61.04/61.22 P_xm-{F}(V0), P_xn-{F}(V1), V0 == V1, aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), P_sz10-{F}(V2) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #224: exists( #46, #13 ), references = 1, size of lhs = 3:
% 61.04/61.22 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #236: exists( #46, #14 ), references = 1, size of lhs = 4:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3) | P_sdtasdt0-{T}(V0,V2,V0)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #237: exists( #46, #9 ), references = 10, size of lhs = 5:
% 61.04/61.22 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)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #252: mergings( V3 == V5, V4 == V1; #247 ), references = 1, size of lhs = 4:
% 61.04/61.22 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #270: mergings( V3 == V1, V4 == V5; #265 ), references = 1, size of lhs = 4:
% 61.04/61.22 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #279: exists( #45, #15 ), references = 3, size of lhs = 12:
% 61.04/61.22 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)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #318: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #312 ), references = 2, size of lhs = 11:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V2,V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V4,V5), P_sdtasdt0-{F}(V2,V5,V6), P_sdtasdt0-{F}(V5,V2,V7), P_sdtasdt0-{F}(V4,V3,V8), V8 == V6, P_sdtasdt0-{F}(V3,V4,V9) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #323: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #313 ), references = 2, size of lhs = 11:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V2,V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V4,V5), P_sdtasdt0-{F}(V2,V5,V6), P_sdtasdt0-{F}(V5,V2,V7), P_sdtasdt0-{F}(V4,V3,V8), P_sdtasdt0-{F}(V3,V4,V9), V9 == V6 | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #384: mergings( V3 == V5, V4 == V6; #379 ), references = 3, size of lhs = 9:
% 61.04/61.22 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V3,V0), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V4,V5), P_sdtasdt0-{F}(V3,V5,V6), P_sdtasdt0-{F}(V5,V3,V7) | P_sdtasdt0-{T}(V4,V0,V6)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #387: mergings( V3 == V5, V4 == V6; #380 ), references = 1, size of lhs = 9:
% 61.04/61.22 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V3,V0), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V4,V5), P_sdtasdt0-{F}(V3,V5,V6), P_sdtasdt0-{F}(V5,V3,V7) | P_sdtasdt0-{T}(V4,V0,V6)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #390: mergings( V3 == V5, V4 == V6; #381 ), references = 1, size of lhs = 13:
% 61.04/61.22 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)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #424: exists( #45, #6 ), references = 2, size of lhs = 8:
% 61.04/61.22 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)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #450: exists( #45, #28 ), references = 3, size of lhs = 1:
% 61.04/61.22 pppp2-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #518: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V15; #507 ), references = 2, size of lhs = 11:
% 61.04/61.22 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xl-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtpldt0-{F}(V3,V1,V4), P_sdtpldt0-{F}(V4,V0,V2), P_sz00-{F}(V5), P_sz10-{F}(V6), P_xn-{F}(V7) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #535: mergings( V0 == V7, V1 == V8; #532 ), references = 2, size of lhs = 10:
% 61.04/61.22 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_xl-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), pppp0-{F}(V3,V1), P_sz00-{F}(V4), P_sz10-{F}(V5), P_xn-{F}(V6) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #559: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #551 ), references = 1, size of lhs = 11:
% 61.04/61.22 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V1, P_sdtpldt0-{F}(V3,V3,V4), P_sdtasdt0-{F}(V0,V4,V5), P_sdtasdt0-{F}(V4,V0,V6), aNaturalNumber0-{F}(V7), P_sdtasdt0-{F}(V3,V7,V5), P_sdtasdt0-{F}(V7,V3,V8) | P_sdtpldt0-{T}(V0,V0,V7)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #566: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #552 ), references = 1, size of lhs = 11:
% 61.04/61.22 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V1, P_sdtpldt0-{F}(V3,V3,V4), P_sdtasdt0-{F}(V0,V4,V5), P_sdtasdt0-{F}(V4,V0,V6), aNaturalNumber0-{F}(V7), P_sdtasdt0-{F}(V7,V3,V5), P_sdtasdt0-{F}(V3,V7,V8) | P_sdtpldt0-{T}(V0,V0,V7)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #578: mergings( V0 == V3, V1 == V5; #575 ), references = 1, size of lhs = 4:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp0-{F}(V2,V0) | pppp2-{T}(V2,V0,V0)
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #625: mergings( V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V11; #617 ), references = 1, size of lhs = 10:
% 61.04/61.22 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_xl-{F}(V1), pppp0-{F}(V0,V1), aNaturalNumber0-{F}(V2), sdtlseqdt0-{F}(V2,V0), P_xm-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_xn-{F}(V5) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #653: mergings( V1 == V4, V4 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V2 == V5, V5 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V3 == V6, V6 == V12, V12 == V22, V7 == V13, V13 == V25; #631 ), references = 1, size of lhs = 5:
% 61.04/61.22 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), P_xn-{F}(V3) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #674: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V2 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V3 == V6, V6 == V11, V11 == V20; #654 ), references = 2, size of lhs = 4:
% 61.04/61.22 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #682: mergings( V1 == V5, V2 == V6; #678 ), references = 1, size of lhs = 4:
% 61.04/61.22 P_xn-{F}(V0), P_xm-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #687: mergings( V1 == V4, V2 == V5; #683 ), references = 1, size of lhs = 3:
% 61.04/61.22 P_xm-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #692: mergings( V1 == V3, V2 == V4; #688 ), references = 1, size of lhs = 2:
% 61.04/61.22 P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #696: mergings( V1 == V2; #693 ), references = 1, size of lhs = 1:
% 61.04/61.22 P_sz00-{F}(V0) | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 #699: exists( #43, #693 ), references = 1, size of lhs = 0:
% 61.04/61.22 FALSE | FALSE
% 61.04/61.22 (used 0 times, uses = {})
% 61.04/61.22
% 61.04/61.22 number of learnt formulas = 37
% 61.04/61.22
% 61.04/61.22
% 61.04/61.22 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.04/61.22
% 61.04/61.22 randbase = 1
%------------------------------------------------------------------------------