%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM465+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:12:33 EDT 2022
% Result : Theorem 5.68s 5.85s
% Output : Refutation 5.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM465+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 : n007.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 23:01:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.68/5.85 GeoParameters:
% 5.68/5.85
% 5.68/5.85 tptp_input = 1
% 5.68/5.85 tptp_output = 0
% 5.68/5.85 nonempty = 1
% 5.68/5.85 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.68/5.85 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 5.68/5.85
% 5.68/5.85
% 5.68/5.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.68/5.85 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.68/5.85
% 5.68/5.85 RuleSystem INPUT:
% 5.68/5.85
% 5.68/5.85 Initial Rules:
% 5.68/5.85 #0: input, references = 4, size of lhs = 1:
% 5.68/5.85 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #1: input, references = 4, size of lhs = 2:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #2: input, references = 3, size of lhs = 2:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #3: input, references = 4, size of lhs = 5:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #4: input, references = 3, size of lhs = 5:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #5: input, references = 4, size of lhs = 7:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #6: input, references = 3, size of lhs = 10:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #7: input, references = 5, size of lhs = 6:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #8: input, references = 3, size of lhs = 6:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #9: input, references = 4, size of lhs = 7:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #10: input, references = 3, size of lhs = 10:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #11: input, references = 5, size of lhs = 6:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #12: input, references = 4, size of lhs = 6:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #13: input, references = 5, size of lhs = 6:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #14: input, references = 4, size of lhs = 6:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #15: input, references = 4, size of lhs = 15:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #16: input, references = 4, size of lhs = 15:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #17: input, references = 3, size of lhs = 10:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #18: input, references = 3, size of lhs = 10:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #19: input, references = 3, size of lhs = 11:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #20: input, references = 3, size of lhs = 11:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #21: input, references = 3, size of lhs = 6:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #22: input, references = 3, size of lhs = 6:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #23: input, references = 3, size of lhs = 7:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #24: input, references = 3, size of lhs = 5:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #25: input, references = 4, size of lhs = 5:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #26: input, references = 3, size of lhs = 3:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #27: input, references = 4, size of lhs = 4:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #28: input, references = 3, size of lhs = 3:
% 5.68/5.85 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #29: input, references = 3, size of lhs = 2:
% 5.68/5.85 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #30: input, references = 3, size of lhs = 6:
% 5.68/5.85 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)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #31: input, references = 4, size of lhs = 8:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #32: input, references = 3, size of lhs = 4:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #33: input, references = 3, size of lhs = 5:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #34: input, references = 3, size of lhs = 4:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #35: input, references = 5, size of lhs = 3:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #36: input, references = 3, size of lhs = 7:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #37: input, references = 3, size of lhs = 7:
% 5.68/5.85 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)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #38: input, references = 3, size of lhs = 3:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #39: input, references = 3, size of lhs = 4:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #40: input, references = 3, size of lhs = 11:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #41: input, references = 3, size of lhs = 11:
% 5.68/5.85 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)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #42: input, references = 3, size of lhs = 11:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #43: input, references = 3, size of lhs = 11:
% 5.68/5.85 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)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #44: input, references = 3, size of lhs = 12:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #45: input, references = 4, size of lhs = 12:
% 5.68/5.85 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)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #46: input, references = 3, size of lhs = 12:
% 5.68/5.85 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
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #47: input, references = 3, size of lhs = 12:
% 5.68/5.85 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)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #48: input, references = 3, size of lhs = 5:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #49: input, references = 6, size of lhs = 4:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #50: input, references = 6, size of lhs = 4:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V3)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #51: input, references = 4, size of lhs = 5:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), V2 == V0 | sdtlseqdt0-{T}(V1,V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #52: input, references = 4, size of lhs = 5:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V0), P_xn-{F}(V3), P_sdtasdt0-{F}(V3,V0,V4) | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #53: input, references = 7, size of lhs = 6:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), sdtlseqdt0-{F}(V3,V4) | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #54: input, references = 4, size of lhs = 0:
% 5.68/5.85 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #55: input, references = 4, size of lhs = 0:
% 5.68/5.85 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #56: input, references = 7, size of lhs = 2:
% 5.68/5.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #57: input, references = 11, size of lhs = 2:
% 5.68/5.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #58: input, references = 4, size of lhs = 2:
% 5.68/5.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #59: input, references = 4, size of lhs = 0:
% 5.68/5.85 FALSE | EXISTS V0: P_xm-{T}(V0)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #60: input, references = 6, size of lhs = 0:
% 5.68/5.85 FALSE | EXISTS V0: P_xn-{T}(V0)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 number of initial rules = 61
% 5.68/5.85
% 5.68/5.85 Simplifiers:
% 5.68/5.85 #61: unsound, references = 3, size of lhs = 3:
% 5.68/5.85 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #62: unsound, references = 3, size of lhs = 3:
% 5.68/5.85 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #63: unsound, references = 3, size of lhs = 3:
% 5.68/5.85 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #64: unsound, references = 3, size of lhs = 3:
% 5.68/5.85 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #65: unsound, references = 3, size of lhs = 3:
% 5.68/5.85 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #66: unsound, references = 3, size of lhs = 3:
% 5.68/5.85 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #67: unsound, references = 3, size of lhs = 3:
% 5.68/5.85 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #68: unsound, references = 3, size of lhs = 3:
% 5.68/5.85 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 number of simplifiers = 8
% 5.68/5.85
% 5.68/5.85 Learnt:
% 5.68/5.85 #74: exists( #56, #7 ), references = 1, size of lhs = 3:
% 5.68/5.85 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #77: exists( #57, #13 ), references = 1, size of lhs = 3:
% 5.68/5.85 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #79: exists( #58, #31 ), references = 1, size of lhs = 6:
% 5.68/5.85 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)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #82: exists( #57, #11 ), references = 1, size of lhs = 3:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #86: exists( #56, #7 ), references = 1, size of lhs = 5:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #87: exists( #56, #5 ), references = 1, size of lhs = 5:
% 5.68/5.85 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)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #89: exists( #56, #84 ), references = 2, size of lhs = 3:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #98: exists( #57, #13 ), references = 1, size of lhs = 5:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #100: mergings( V4 == V0; #97 ), references = 3, size of lhs = 4:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V0) | P_sdtasdt0-{T}(V0,V2,V0)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #102: exists( #57, #96 ), references = 4, size of lhs = 3:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #114: exists( #57, #11 ), references = 1, size of lhs = 5:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), V3 == V2 | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #116: mergings( V4 == V1; #111 ), references = 2, size of lhs = 4:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V2) | P_sdtasdt0-{T}(V1,V2,V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #117: exists( #57, #9 ), references = 4, size of lhs = 5:
% 5.68/5.85 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)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #119: exists( #57, #113 ), references = 2, size of lhs = 3:
% 5.68/5.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V1,V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #131: mergings( V1 == V4, V4 == V6, V6 == V8, V2 == V5, V5 == V7, V7 == V9, V3 == V9; #123 ), references = 2, size of lhs = 3:
% 5.68/5.85 P_xm-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1) | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #139: mergings( V1 == V5, V2 == V4, V4 == V6, V3 == V5; #134 ), references = 1, size of lhs = 3:
% 5.68/5.85 P_sz00-{F}(V0), P_xm-{F}(V0), P_sz10-{F}(V1) | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #164: mergings( V3 == V5, V4 == V6; #160 ), references = 1, size of lhs = 13:
% 5.68/5.85 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)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #167: mergings( V3 == V5, V4 == V6; #161 ), references = 1, size of lhs = 13:
% 5.68/5.85 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)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #183: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V17; #172 ), references = 2, size of lhs = 14:
% 5.68/5.85 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V1), aNaturalNumber0-{F}(V4), P_xn-{F}(V4), P_sdtasdt0-{F}(V4,V3,V4), P_sdtasdt0-{F}(V4,V2,V0), P_sdtasdt0-{F}(V3,V4,V4), P_sdtasdt0-{F}(V2,V4,V0), P_sz00-{F}(V5), P_sz10-{F}(V6) | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #200: mergings( V3 == V5, V5 == V9, V4 == V6, V6 == V10; #195 ), references = 1, size of lhs = 12:
% 5.68/5.85 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), V1 == V0, sdtlseqdt0-{F}(V1,V0), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V2), P_xn-{F}(V2), P_sdtasdt0-{F}(V1,V2,V3), P_sz00-{F}(V4), V2 == V4, P_sz10-{F}(V5) | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #220: mergings( V1 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V15, V2 == V4, V4 == V9, V9 == V11, V11 == V13, V13 == V16, V5 == V14; #206 ), references = 1, size of lhs = 6:
% 5.68/5.85 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xm-{F}(V1), V0 == V1, P_sz00-{F}(V2), V1 == V2 | P_xn-{T}(V2)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #250: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V19, V2 == V4, V4 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20; #230 ), references = 1, size of lhs = 4:
% 5.68/5.85 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), sdtlseqdt0-{F}(V1,V1) | P_xm-{T}(V1), P_xm-{T}(V0)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #272: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V22, V2 == V4, V4 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V23, V21 == V22; #231 ), references = 1, size of lhs = 5:
% 5.68/5.85 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtasdt0-{F}(V1,V1,V1), P_sz00-{F}(V1) | P_xm-{T}(V1), P_xm-{T}(V0)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #293: mergings( V0 == V2, V2 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V4, V1 == V3, V3 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V20; #273 ), references = 1, size of lhs = 4:
% 5.68/5.85 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), sdtlseqdt0-{F}(V1,V1) | P_xm-{T}(V0)
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #310: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #297 ), references = 1, size of lhs = 2:
% 5.68/5.85 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 #313: exists( #54, #311 ), references = 1, size of lhs = 0:
% 5.68/5.85 FALSE | FALSE
% 5.68/5.85 (used 0 times, uses = {})
% 5.68/5.85
% 5.68/5.85 number of learnt formulas = 26
% 5.68/5.85
% 5.68/5.85
% 5.68/5.85 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.68/5.85
% 5.68/5.85 randbase = 1
%------------------------------------------------------------------------------