TSTP Solution File: NUM482+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM482+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:12:35 EDT 2022
% Result : Theorem 0.85s 1.04s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM482+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.11 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Jul 23 00:13:01 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.85/1.04 GeoParameters:
% 0.85/1.04
% 0.85/1.04 tptp_input = 1
% 0.85/1.04 tptp_output = 0
% 0.85/1.04 nonempty = 1
% 0.85/1.04 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.04 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.85/1.04
% 0.85/1.04
% 0.85/1.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.04 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.04
% 0.85/1.04 RuleSystem INPUT:
% 0.85/1.04
% 0.85/1.04 Initial Rules:
% 0.85/1.04 #0: input, references = 3, size of lhs = 1:
% 0.85/1.04 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #1: input, references = 4, size of lhs = 2:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #2: input, references = 3, size of lhs = 2:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #3: input, references = 3, size of lhs = 5:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #4: input, references = 3, size of lhs = 5:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #5: input, references = 4, size of lhs = 7:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #6: input, references = 3, size of lhs = 10:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #7: input, references = 5, size of lhs = 6:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #8: input, references = 4, size of lhs = 6:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #9: input, references = 4, size of lhs = 7:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #10: input, references = 3, size of lhs = 10:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #11: input, references = 4, size of lhs = 6:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #12: input, references = 3, size of lhs = 6:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #13: input, references = 4, size of lhs = 6:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #14: input, references = 4, size of lhs = 6:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #15: input, references = 3, size of lhs = 15:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #16: input, references = 3, size of lhs = 15:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #17: input, references = 3, size of lhs = 10:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #18: input, references = 3, size of lhs = 10:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #19: input, references = 3, size of lhs = 11:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #20: input, references = 3, size of lhs = 11:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #21: input, references = 3, size of lhs = 6:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #22: input, references = 3, size of lhs = 6:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #23: input, references = 3, size of lhs = 7:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #24: input, references = 3, size of lhs = 5:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #25: input, references = 3, size of lhs = 5:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #26: input, references = 3, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V2,V3,V4)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #27: input, references = 3, size of lhs = 4:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #28: input, references = 3, size of lhs = 3:
% 0.85/1.04 pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #29: input, references = 3, size of lhs = 2:
% 0.85/1.04 pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #30: input, references = 3, size of lhs = 6:
% 0.85/1.04 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)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #31: input, references = 4, size of lhs = 8:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #32: input, references = 3, size of lhs = 4:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #33: input, references = 3, size of lhs = 5:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #34: input, references = 3, size of lhs = 4:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #35: input, references = 3, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #36: input, references = 3, size of lhs = 7:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #37: input, references = 3, size of lhs = 7:
% 0.85/1.04 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)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #38: input, references = 3, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #39: input, references = 3, size of lhs = 4:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #40: input, references = 3, size of lhs = 11:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #41: input, references = 3, size of lhs = 11:
% 0.85/1.04 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)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #42: input, references = 3, size of lhs = 11:
% 0.85/1.04 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
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #43: input, references = 3, size of lhs = 11:
% 0.85/1.04 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)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #44: input, references = 3, size of lhs = 12:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V6), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #45: input, references = 3, size of lhs = 12:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | sdtlseqdt0-{T}(V5,V6)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #46: input, references = 3, size of lhs = 12:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V8), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #47: input, references = 3, size of lhs = 12:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | sdtlseqdt0-{T}(V7,V8)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #48: input, references = 3, size of lhs = 5:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #49: input, references = 3, size of lhs = 6:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), V2 == V0 | sdtlseqdt0-{T}(V3,V4)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #50: input, references = 3, size of lhs = 6:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), V3 == V2 | iLess0-{T}(V3,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #51: input, references = 3, size of lhs = 5:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2) | pppp2-{T}(V3,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #52: input, references = 4, size of lhs = 5:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2) | doDivides0-{T}(V3,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #53: input, references = 3, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp2-{F}(V2,V3) | EXISTS V4: pppp6-{T}(V2,V3,V4)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #54: input, references = 4, size of lhs = 4:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp2-{T}(V2,V5)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #55: input, references = 3, size of lhs = 3:
% 0.85/1.04 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3), V1 == V3 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #56: input, references = 3, size of lhs = 2:
% 0.85/1.04 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #57: input, references = 3, size of lhs = 7:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), V2 == V0 | pppp3-{T}(V2,V3,V4)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #58: input, references = 3, size of lhs = 9:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), pppp3-{F}(V2,V3,V5), V2 == V0, V5 == V4 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #59: input, references = 3, size of lhs = 4:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #60: input, references = 3, size of lhs = 5:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4), V3 == V5 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #61: input, references = 3, size of lhs = 4:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp3-{T}(V2,V5,V4)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #62: input, references = 3, size of lhs = 7:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V3) | doDivides0-{T}(V4,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #63: input, references = 3, size of lhs = 8:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V2,V5), aNaturalNumber0-{F}(V4), doDivides0-{F}(V3,V4) | doDivides0-{T}(V3,V5)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #64: input, references = 3, size of lhs = 8:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V4,V2,V5), aNaturalNumber0-{F}(V4), doDivides0-{F}(V3,V4), doDivides0-{F}(V3,V5) | doDivides0-{T}(V3,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #65: input, references = 3, size of lhs = 6:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V2 == V0 | sdtlseqdt0-{T}(V3,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #66: input, references = 3, size of lhs = 12:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtsldt0-{F}(V7,V2,V8), aNaturalNumber0-{F}(V5), V2 == V0, V6 == V8 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #67: input, references = 3, size of lhs = 4:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), isPrime0-{F}(V2) | pppp4-{T}(V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #68: input, references = 3, size of lhs = 4:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp4-{F}(V2) | isPrime0-{T}(V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #69: input, references = 3, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V0) | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #70: input, references = 3, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V1) | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #71: input, references = 3, size of lhs = 7:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V3 == V1, V3 == V2 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #72: input, references = 3, size of lhs = 5:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), #-{F} V2, V2 == V0, V2 == V1 | pppp4-{T}(V2), pppp9-{T}(V2,V1)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #73: input, references = 3, size of lhs = 1:
% 0.85/1.04 pppp9-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V2,V1)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #74: input, references = 3, size of lhs = 1:
% 0.85/1.04 pppp7-{F}(V0,V0,V2) | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #75: input, references = 3, size of lhs = 1:
% 0.85/1.04 pppp7-{F}(V0,V2,V2) | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #76: input, references = 3, size of lhs = 1:
% 0.85/1.04 pppp7-{F}(V0,V1,V2) | doDivides0-{T}(V1,V0)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #77: input, references = 3, size of lhs = 1:
% 0.85/1.04 pppp7-{F}(V0,V1,V2) | aNaturalNumber0-{T}(V1)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #78: input, references = 4, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2) | aNaturalNumber0-{T}(V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #79: input, references = 3, size of lhs = 7:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2), aNaturalNumber0-{F}(V3), iLess0-{F}(V3,V2), V3 == V0, V3 == V1 | EXISTS V4: pppp8-{T}(V3,V4)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #80: input, references = 3, size of lhs = 1:
% 0.85/1.04 pppp8-{F}(V0,V1) | isPrime0-{T}(V1)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #81: input, references = 3, size of lhs = 1:
% 0.85/1.04 pppp8-{F}(V0,V1) | doDivides0-{T}(V1,V0)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #82: input, references = 3, size of lhs = 1:
% 0.85/1.04 pppp8-{F}(V0,V1) | aNaturalNumber0-{T}(V1)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #83: input, references = 3, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V0) | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #84: input, references = 3, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V1) | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #85: input, references = 4, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2) | isPrime0-{T}(V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #86: input, references = 4, size of lhs = 6:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), isPrime0-{F}(V3) | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #87: input, references = 4, size of lhs = 0:
% 0.85/1.04 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #88: input, references = 4, size of lhs = 0:
% 0.85/1.04 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #89: input, references = 7, size of lhs = 2:
% 0.85/1.04 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #90: input, references = 6, size of lhs = 2:
% 0.85/1.04 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #91: input, references = 4, size of lhs = 2:
% 0.85/1.04 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #92: input, references = 3, size of lhs = 2:
% 0.85/1.04 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtsldt0-{T}(V0,V1,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #93: input, references = 4, size of lhs = 0:
% 0.85/1.04 FALSE | EXISTS V0: P_xk-{T}(V0)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 number of initial rules = 94
% 0.85/1.04
% 0.85/1.04 Simplifiers:
% 0.85/1.04 #94: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #95: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #96: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #97: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #98: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #99: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 P_sdtsldt0-{F}(V0,V1,V2), P_sdtsldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #100: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 P_xk-{F}(V0), P_xk-{F}(V1), V0 == V1 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #101: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #102: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #103: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #104: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #105: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #106: unsound, references = 3, size of lhs = 3:
% 0.85/1.04 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V1 == V3 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 number of simplifiers = 13
% 0.85/1.04
% 0.85/1.04 Learnt:
% 0.85/1.04 #109: exists( #89, #7 ), references = 1, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #111: exists( #91, #31 ), references = 1, size of lhs = 6:
% 0.85/1.04 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)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #115: exists( #89, #7 ), references = 1, size of lhs = 5:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #117: mergings( V4 == V1; #113 ), references = 1, size of lhs = 4:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2) | P_sdtpldt0-{T}(V0,V2,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #119: exists( #89, #114 ), references = 1, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #122: exists( #90, #13 ), references = 1, size of lhs = 3:
% 0.85/1.04 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #127: exists( #90, #14 ), references = 1, size of lhs = 4:
% 0.85/1.04 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3) | P_sdtasdt0-{T}(V0,V2,V0)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #128: exists( #90, #9 ), references = 2, size of lhs = 5:
% 0.85/1.04 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)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #133: exists( #89, #5 ), references = 1, size of lhs = 5:
% 0.85/1.04 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)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #142: mergings( V3 == V5, V4 == V1; #138 ), references = 2, size of lhs = 4:
% 0.85/1.04 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #159: mergings( V1 == V3, V3 == V6, V6 == V7, V7 == V9, V9 == V11, V2 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V12; #148 ), references = 1, size of lhs = 3:
% 0.85/1.04 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1) | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #168: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #161 ), references = 1, size of lhs = 1:
% 0.85/1.04 P_sz00-{F}(V0) | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 #170: exists( #87, #161 ), references = 1, size of lhs = 0:
% 0.85/1.04 FALSE | FALSE
% 0.85/1.04 (used 0 times, uses = {})
% 0.85/1.04
% 0.85/1.04 number of learnt formulas = 13
% 0.85/1.04
% 0.85/1.04
% 0.85/1.04 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.04
% 0.85/1.04 randbase = 1
%------------------------------------------------------------------------------