%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG047+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:14:59 EDT 2022
% Result : Theorem 0.85s 1.07s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG047+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 07:43:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.85/1.07 GeoParameters:
% 0.85/1.07
% 0.85/1.07 tptp_input = 1
% 0.85/1.07 tptp_output = 0
% 0.85/1.07 nonempty = 1
% 0.85/1.07 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.07 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.85/1.07
% 0.85/1.07
% 0.85/1.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.07 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.07
% 0.85/1.07 RuleSystem INPUT:
% 0.85/1.07
% 0.85/1.07 Initial Rules:
% 0.85/1.07 #0: input, references = 3, size of lhs = 1:
% 0.85/1.07 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #1: input, references = 3, size of lhs = 3:
% 0.85/1.07 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1) | aNaturalNumber0-{T}(V2)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #2: input, references = 3, size of lhs = 3:
% 0.85/1.07 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V0), aNaturalNumber0-{F}(V1) | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #3: input, references = 3, size of lhs = 3:
% 0.85/1.07 P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), V1 == V0 | EXISTS V2: pppp1-{T}(V1,V2)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #4: input, references = 3, size of lhs = 3:
% 0.85/1.07 pppp1-{F}(V0,V1), P_szszuzczcdt0-{F}(V1,V2), V0 == V2 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #5: input, references = 3, size of lhs = 2:
% 0.85/1.07 pppp1-{F}(V0,V1), P_szszuzczcdt0-{F}(V1,V2) | aNaturalNumber0-{T}(V1)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #6: input, references = 4, size of lhs = 6:
% 0.85/1.07 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1), P_szszuzczcdt0-{F}(V3,V2), aNaturalNumber0-{F}(V3), V3 == V1 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #7: input, references = 3, size of lhs = 3:
% 0.85/1.07 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1) | iLess0-{T}(V1,V2)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #8: input, references = 3, size of lhs = 2:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1) | aScalar0-{T}(V1)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #9: input, references = 3, size of lhs = 5:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aScalar0-{F}(V3) | aScalar0-{T}(V4)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #10: input, references = 3, size of lhs = 5:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aScalar0-{F}(V3) | aScalar0-{T}(V4)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #11: input, references = 3, size of lhs = 4:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V2,V3), aScalar0-{F}(V2) | aScalar0-{T}(V3)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #12: input, references = 8, size of lhs = 12:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_sdtpldt0-{F}(V3,V1,V4), P_sdtpldt0-{F}(V1,V3,V5), P_sdtasdt0-{F}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), P_smndt0-{F}(V3,V8), P_sdtpldt0-{F}(V3,V8,V9), P_sdtpldt0-{F}(V8,V3,V10), P_smndt0-{F}(V8,V11), aScalar0-{F}(V3) | pppp2-{T}(V3,V1,V4,V5,V6,V7,V9,V10,V11,V2)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #13: input, references = 4, size of lhs = 2:
% 0.85/1.07 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V9 == V1 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #14: input, references = 3, size of lhs = 2:
% 0.85/1.07 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V8 == V0 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #15: input, references = 4, size of lhs = 2:
% 0.85/1.07 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V7 == V1 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #16: input, references = 3, size of lhs = 2:
% 0.85/1.07 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V6 == V1 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #17: input, references = 5, size of lhs = 2:
% 0.85/1.07 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V5 == V1 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #18: input, references = 4, size of lhs = 2:
% 0.85/1.07 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V4 == V1 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #19: input, references = 3, size of lhs = 2:
% 0.85/1.07 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V3 == V0 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #20: input, references = 3, size of lhs = 2:
% 0.85/1.07 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V2 == V0 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #21: input, references = 3, size of lhs = 17:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), P_sdtpldt0-{F}(V7,V4,V8), P_sdtpldt0-{F}(V8,V3,V9), P_sdtpldt0-{F}(V7,V5,V10), P_sdtpldt0-{F}(V4,V7,V11), P_sdtasdt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtasdt0-{F}(V7,V6,V14), P_sdtasdt0-{F}(V4,V7,V15), aScalar0-{F}(V7), V9 == V10 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #22: input, references = 3, size of lhs = 17:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), P_sdtpldt0-{F}(V7,V4,V8), P_sdtpldt0-{F}(V8,V3,V9), P_sdtpldt0-{F}(V7,V5,V10), P_sdtpldt0-{F}(V4,V7,V11), P_sdtasdt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtasdt0-{F}(V7,V6,V14), P_sdtasdt0-{F}(V4,V7,V15), aScalar0-{F}(V7), V8 == V11 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #23: input, references = 3, size of lhs = 17:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), P_sdtpldt0-{F}(V7,V4,V8), P_sdtpldt0-{F}(V8,V3,V9), P_sdtpldt0-{F}(V7,V5,V10), P_sdtpldt0-{F}(V4,V7,V11), P_sdtasdt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtasdt0-{F}(V7,V6,V14), P_sdtasdt0-{F}(V4,V7,V15), aScalar0-{F}(V7), V13 == V14 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #24: input, references = 3, size of lhs = 17:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), P_sdtpldt0-{F}(V7,V4,V8), P_sdtpldt0-{F}(V8,V3,V9), P_sdtpldt0-{F}(V7,V5,V10), P_sdtpldt0-{F}(V4,V7,V11), P_sdtasdt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtasdt0-{F}(V7,V6,V14), P_sdtasdt0-{F}(V4,V7,V15), aScalar0-{F}(V7), V12 == V15 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #25: input, references = 4, size of lhs = 16:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), P_sdtasdt0-{F}(V7,V5,V8), P_sdtasdt0-{F}(V7,V4,V9), P_sdtasdt0-{F}(V7,V3,V10), P_sdtpldt0-{F}(V9,V10,V11), P_sdtpldt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtpldt0-{F}(V10,V6,V14), aScalar0-{F}(V7), V8 == V11 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #26: input, references = 4, size of lhs = 16:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), P_sdtasdt0-{F}(V7,V5,V8), P_sdtasdt0-{F}(V7,V4,V9), P_sdtasdt0-{F}(V7,V3,V10), P_sdtpldt0-{F}(V9,V10,V11), P_sdtpldt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtpldt0-{F}(V10,V6,V14), aScalar0-{F}(V7), V13 == V14 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #27: input, references = 3, size of lhs = 18:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), aScalar0-{F}(V4), P_sdtasdt0-{F}(V6,V4,V7), P_sdtasdt0-{F}(V6,V3,V8), P_sdtpldt0-{F}(V7,V8,V9), aScalar0-{F}(V6), P_sdtpldt0-{F}(V10,V6,V11), P_sdtasdt0-{F}(V11,V5,V12), P_sdtasdt0-{F}(V10,V4,V13), P_sdtasdt0-{F}(V10,V3,V14), P_sdtpldt0-{F}(V13,V14,V15), P_sdtpldt0-{F}(V15,V9,V16), aScalar0-{F}(V10), V12 == V16 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #28: input, references = 4, size of lhs = 12:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_smndt0-{F}(V3,V4), aScalar0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_smndt0-{F}(V7,V8), P_smndt0-{F}(V5,V9), P_sdtasdt0-{F}(V9,V3,V10), aScalar0-{F}(V5), V6 == V8 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #29: input, references = 4, size of lhs = 12:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_smndt0-{F}(V3,V4), aScalar0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_smndt0-{F}(V7,V8), P_smndt0-{F}(V5,V9), P_sdtasdt0-{F}(V9,V3,V10), aScalar0-{F}(V5), V10 == V8 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #30: input, references = 4, size of lhs = 10:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_smndt0-{F}(V3,V4), aScalar0-{F}(V3), P_smndt0-{F}(V5,V6), P_sdtasdt0-{F}(V6,V4,V7), P_sdtasdt0-{F}(V5,V3,V8), aScalar0-{F}(V5), V7 == V8 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #31: input, references = 3, size of lhs = 4:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #32: input, references = 3, size of lhs = 8:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), sdtlseqdt0-{F}(V4,V3), sdtlseqdt0-{F}(V3,V4), V4 == V3 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #33: input, references = 3, size of lhs = 8:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), sdtlseqdt0-{F}(V4,V3), aScalar0-{F}(V5), sdtlseqdt0-{F}(V5,V4) | sdtlseqdt0-{T}(V5,V3)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #34: input, references = 3, size of lhs = 11:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), sdtlseqdt0-{F}(V4,V3), P_sdtpldt0-{F}(V5,V3,V6), aScalar0-{F}(V5), P_sdtpldt0-{F}(V7,V4,V8), aScalar0-{F}(V7), sdtlseqdt0-{F}(V7,V5) | sdtlseqdt0-{T}(V8,V6)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #35: input, references = 3, size of lhs = 12:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), sdtlseqdt0-{F}(V1,V3), aScalar0-{F}(V4), sdtlseqdt0-{F}(V3,V4), P_sdtasdt0-{F}(V5,V4,V6), aScalar0-{F}(V5), P_sdtasdt0-{F}(V7,V3,V8), aScalar0-{F}(V7), sdtlseqdt0-{F}(V7,V5) | sdtlseqdt0-{T}(V8,V6)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #36: input, references = 3, size of lhs = 5:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4) | sdtlseqdt0-{T}(V4,V3), sdtlseqdt0-{T}(V3,V4)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #37: input, references = 3, size of lhs = 9:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), sdtlseqdt0-{F}(V1,V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), sdtlseqdt0-{F}(V1,V4) | sdtlseqdt0-{T}(V1,V5)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #38: input, references = 3, size of lhs = 9:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), sdtlseqdt0-{F}(V1,V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), sdtlseqdt0-{F}(V1,V4) | sdtlseqdt0-{T}(V1,V6)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #39: input, references = 3, size of lhs = 5:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_sdtasdt0-{F}(V3,V3,V4), aScalar0-{F}(V3) | sdtlseqdt0-{T}(V1,V4)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #40: input, references = 3, size of lhs = 10:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_sdtasdt0-{F}(V3,V3,V4), aScalar0-{F}(V3), sdtlseqdt0-{F}(V1,V3), P_sdtasdt0-{F}(V5,V5,V4), aScalar0-{F}(V5), sdtlseqdt0-{F}(V1,V5), V5 == V3 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #41: input, references = 8, size of lhs = 5:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), aVector0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #42: input, references = 3, size of lhs = 6:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aNaturalNumber0-{F}(V3), P_sdtlbdtrb0-{F}(V4,V3,V5), aVector0-{F}(V4) | aScalar0-{T}(V5)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #43: input, references = 11, size of lhs = 7:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), aVector0-{F}(V3), V4 == V0 | pppp0-{T}(V3,V5)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #44: input, references = 3, size of lhs = 9:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), aVector0-{F}(V3), pppp0-{F}(V3,V6), V4 == V0, V6 == V5 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #45: input, references = 6, size of lhs = 7:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V4,V5), P_szszuzczcdt0-{F}(V5,V6), P_aDimensionOf0-{F}(V3,V7), pppp0-{F}(V3,V4) | aVector0-{T}(V4)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #46: input, references = 4, size of lhs = 8:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V4,V5), P_szszuzczcdt0-{F}(V5,V6), P_aDimensionOf0-{F}(V3,V7), pppp0-{F}(V3,V4), V6 == V7 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #47: input, references = 4, size of lhs = 11:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V4,V5), P_szszuzczcdt0-{F}(V5,V6), P_aDimensionOf0-{F}(V3,V7), pppp0-{F}(V3,V4), P_sdtlbdtrb0-{F}(V4,V8,V9), P_sdtlbdtrb0-{F}(V3,V8,V10), aNaturalNumber0-{F}(V8), V9 == V10 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #48: input, references = 3, size of lhs = 7:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V4,V5), P_szszuzczcdt0-{F}(V5,V7), P_aDimensionOf0-{F}(V3,V7), aVector0-{F}(V4) | pppp0-{T}(V3,V4), pppp5-{T}(V3,V4)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #49: input, references = 3, size of lhs = 1:
% 0.85/1.07 pppp5-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #50: input, references = 3, size of lhs = 3:
% 0.85/1.07 pppp3-{F}(V0,V1,V2), P_sdtlbdtrb0-{F}(V1,V2,V4), P_sdtlbdtrb0-{F}(V0,V2,V4) | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #51: input, references = 3, size of lhs = 3:
% 0.85/1.07 pppp3-{F}(V0,V1,V2), P_sdtlbdtrb0-{F}(V1,V2,V3), P_sdtlbdtrb0-{F}(V0,V2,V4) | aNaturalNumber0-{T}(V2)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #52: input, references = 10, size of lhs = 5:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_xt-{F}(V4) | aVector0-{T}(V3)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #53: input, references = 6, size of lhs = 5:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_xt-{F}(V4) | aVector0-{T}(V4)
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #54: input, references = 4, size of lhs = 8:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_xt-{F}(V4), P_aDimensionOf0-{F}(V3,V5), P_aDimensionOf0-{F}(V4,V6), V5 == V6 | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #55: input, references = 5, size of lhs = 7:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_xt-{F}(V4), P_aDimensionOf0-{F}(V3,V5), P_aDimensionOf0-{F}(V4,V0) | FALSE
% 0.85/1.07 (used 0 times, uses = {})
% 0.85/1.07
% 0.85/1.07 #56: input, references = 4, size of lhs = 13:
% 0.85/1.07 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_xt-{F}(V4), P_aDimensionOf0-{F}(V3,V5), P_aDimensionOf0-{F}(V4,V6), P_sziznziztdt0-{F}(V3,V7), P_aDimensionOf0-{F}(V7,V8), P_szszuzczcdt0-{F}(V8,V9), P_sziznziztdt0-{F}(V4,V10), P_aDimensionOf0-{F}(V10,V11), P_szszuzczcdt0-{F}(V11,V12) | pppp4-{T}(V3,V4,V5,V6,V7,V8,V9,V10,V11,V12)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #57: input, references = 4, size of lhs = 1:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V8,V6,V7,V8,V9) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #58: input, references = 3, size of lhs = 5:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), P_sdtlbdtrb0-{F}(V7,V10,V11), P_sdtlbdtrb0-{F}(V1,V10,V12), aNaturalNumber0-{F}(V10), V11 == V12 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #59: input, references = 3, size of lhs = 2:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V9 == V3 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #60: input, references = 3, size of lhs = 1:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9) | aVector0-{T}(V7)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #61: input, references = 3, size of lhs = 5:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), P_sdtlbdtrb0-{F}(V4,V10,V11), P_sdtlbdtrb0-{F}(V0,V10,V12), aNaturalNumber0-{F}(V10), V11 == V12 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #62: input, references = 3, size of lhs = 2:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V6 == V2 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #63: input, references = 3, size of lhs = 1:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9) | aVector0-{T}(V4)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #64: input, references = 4, size of lhs = 0:
% 0.85/1.08 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #65: input, references = 4, size of lhs = 1:
% 0.85/1.08 #-{F} V0 | EXISTS V1: P_szszuzczcdt0-{T}(V0,V1)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #66: input, references = 4, size of lhs = 0:
% 0.85/1.08 FALSE | EXISTS V0: P_sz0z00-{T}(V0)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #67: input, references = 7, size of lhs = 2:
% 0.85/1.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #68: input, references = 7, size of lhs = 2:
% 0.85/1.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #69: input, references = 10, size of lhs = 1:
% 0.85/1.08 #-{F} V0 | EXISTS V1: P_smndt0-{T}(V0,V1)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #70: input, references = 9, size of lhs = 1:
% 0.85/1.08 #-{F} V0 | EXISTS V1: P_aDimensionOf0-{T}(V0,V1)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #71: input, references = 4, size of lhs = 2:
% 0.85/1.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtlbdtrb0-{T}(V0,V1,V2)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #72: input, references = 7, size of lhs = 1:
% 0.85/1.08 #-{F} V0 | EXISTS V1: P_sziznziztdt0-{T}(V0,V1)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #73: input, references = 4, size of lhs = 0:
% 0.85/1.08 FALSE | EXISTS V0: P_xs-{T}(V0)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #74: input, references = 4, size of lhs = 0:
% 0.85/1.08 FALSE | EXISTS V0: P_xt-{T}(V0)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 number of initial rules = 75
% 0.85/1.08
% 0.85/1.08 Simplifiers:
% 0.85/1.08 #75: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 iLess0-{F}(V0,V1), iLess0-{F}(V0,V3), V1 == V3 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #76: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #77: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 P_szszuzczcdt0-{F}(V0,V1), P_szszuzczcdt0-{F}(V0,V3), V1 == V3 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #78: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 P_sz0z00-{F}(V0), P_sz0z00-{F}(V1), V0 == V1 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #79: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #80: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #81: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 P_smndt0-{F}(V0,V1), P_smndt0-{F}(V0,V3), V1 == V3 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #82: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 P_aDimensionOf0-{F}(V0,V1), P_aDimensionOf0-{F}(V0,V3), V1 == V3 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #83: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 P_sdtlbdtrb0-{F}(V0,V1,V2), P_sdtlbdtrb0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #84: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 P_sziznziztdt0-{F}(V0,V1), P_sziznziztdt0-{F}(V0,V3), V1 == V3 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #85: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 P_xs-{F}(V0), P_xs-{F}(V1), V0 == V1 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #86: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 P_xt-{F}(V0), P_xt-{F}(V1), V0 == V1 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #87: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #88: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp2-{F}(V10,V11,V12,V13,V14,V15,V16,V17,V18,V19), V1 == V11 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #89: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp2-{F}(V10,V1,V12,V13,V14,V15,V16,V17,V18,V19), V9 == V19 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #90: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp2-{F}(V0,V1,V12,V13,V14,V15,V16,V17,V18,V19), V2 == V12 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #91: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp2-{F}(V0,V1,V12,V13,V14,V15,V16,V17,V18,V19), V3 == V13 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #92: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp2-{F}(V0,V1,V12,V13,V14,V15,V16,V17,V18,V19), V4 == V14 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #93: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp2-{F}(V0,V1,V12,V13,V14,V15,V16,V17,V18,V19), V5 == V15 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #94: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #95: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp4-{F}(V10,V11,V12,V13,V14,V15,V16,V17,V18,V19), V0 == V10 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #96: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp4-{F}(V10,V11,V12,V13,V14,V15,V16,V17,V18,V19), V1 == V11 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #97: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp4-{F}(V0,V11,V12,V13,V14,V15,V16,V17,V18,V19), V2 == V12 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #98: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp4-{F}(V10,V1,V12,V13,V14,V15,V16,V17,V18,V19), V3 == V13 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #99: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp4-{F}(V0,V11,V12,V13,V14,V15,V16,V17,V18,V19), V4 == V14 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #100: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp4-{F}(V10,V11,V12,V13,V4,V15,V16,V17,V18,V19), V5 == V15 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #101: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp4-{F}(V10,V11,V12,V13,V14,V5,V16,V17,V18,V19), V6 == V16 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #102: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp4-{F}(V10,V1,V12,V13,V14,V15,V16,V17,V18,V19), V7 == V17 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #103: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp4-{F}(V10,V11,V12,V13,V14,V15,V16,V7,V18,V19), V8 == V18 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #104: unsound, references = 3, size of lhs = 3:
% 0.85/1.08 pppp4-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp4-{F}(V10,V11,V12,V13,V14,V15,V16,V17,V8,V19), V9 == V19 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 number of simplifiers = 30
% 0.85/1.08
% 0.85/1.08 Learnt:
% 0.85/1.08 #106: exists( #69, #55 ), references = 1, size of lhs = 6:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_xt-{F}(V3), P_aDimensionOf0-{F}(V3,V0), P_aDimensionOf0-{F}(V2,V4) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #112: exists( #65, #46 ), references = 7, size of lhs = 6:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), pppp0-{F}(V3,V5), P_aDimensionOf0-{F}(V5,V6) | P_szszuzczcdt0-{T}(V6,V4)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #126: mergings( V2 == V5, V5 == V8, V8 == V9, V6 == V17, V3 == V10, V12 == V17, V7 == V14, V4 == V11; #117 ), references = 3, size of lhs = 11:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_xt-{F}(V3), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V2,V5), P_aDimensionOf0-{F}(V5,V6), P_sziznziztdt0-{F}(V3,V7), P_aDimensionOf0-{F}(V7,V6), P_aDimensionOf0-{F}(V2,V8), V8 == V0 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #133: mergings( V4 == V5, V3 == V6; #129 ), references = 2, size of lhs = 8:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_sdtpldt0-{F}(V1,V1,V2), P_smndt0-{F}(V1,V3), P_sdtpldt0-{F}(V1,V3,V4), P_sdtpldt0-{F}(V3,V1,V5), P_smndt0-{F}(V3,V6) | P_sdtasdt0-{T}(V1,V1,V1)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #136: mergings( V4 == V5, V3 == V6; #130 ), references = 1, size of lhs = 8:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_sdtpldt0-{F}(V1,V1,V2), P_smndt0-{F}(V1,V3), P_sdtpldt0-{F}(V1,V3,V4), P_sdtpldt0-{F}(V3,V1,V5), P_smndt0-{F}(V3,V6) | P_sdtasdt0-{T}(V1,V1,V1)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #138: exists( #70, #126 ), references = 1, size of lhs = 9:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_xt-{F}(V3), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V2,V5), P_sziznziztdt0-{F}(V3,V5), P_aDimensionOf0-{F}(V2,V6), V6 == V0 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #141: mergings( V4 == V5; #139 ), references = 1, size of lhs = 6:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_xt-{F}(V2), P_aDimensionOf0-{F}(V2,V3), V3 == V0 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #143: exists( #70, #139 ), references = 1, size of lhs = 4:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_xt-{F}(V2) | P_aDimensionOf0-{T}(V2,V0)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #148: exists( #68, #30 ), references = 4, size of lhs = 8:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_smndt0-{F}(V3,V4), aScalar0-{F}(V5), P_smndt0-{F}(V5,V6), P_sdtasdt0-{F}(V6,V4,V7) | P_sdtasdt0-{T}(V5,V3,V7)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #158: mergings( V3 == V7, V4 == V8, V5 == V9; #152 ), references = 1, size of lhs = 11:
% 0.85/1.08 aScalar0-{F}(V0), P_smndt0-{F}(V0,V1), aScalar0-{F}(V1), P_smndt0-{F}(V1,V0), P_sz00-{F}(V2), P_sz0z00-{F}(V3), P_smndt0-{F}(V3,V4), aScalar0-{F}(V5), P_smndt0-{F}(V5,V6), P_sdtasdt0-{F}(V1,V5,V7), P_smndt0-{F}(V7,V8) | P_sdtasdt0-{T}(V1,V6,V8)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #162: mergings( V3 == V7, V4 == V8, V5 == V9; #153 ), references = 1, size of lhs = 11:
% 0.85/1.08 aScalar0-{F}(V0), P_smndt0-{F}(V0,V1), aScalar0-{F}(V1), P_smndt0-{F}(V1,V0), P_sz00-{F}(V2), P_sz0z00-{F}(V3), P_smndt0-{F}(V3,V4), aScalar0-{F}(V5), P_smndt0-{F}(V5,V6), P_sdtasdt0-{F}(V1,V5,V7), P_smndt0-{F}(V7,V8) | P_sdtasdt0-{T}(V1,V6,V8)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #166: exists( #67, #25 ), references = 1, size of lhs = 13:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V7), P_sdtasdt0-{F}(V7,V4,V6), P_sdtasdt0-{F}(V7,V3,V6), P_sdtasdt0-{F}(V7,V5,V8), P_sdtpldt0-{F}(V7,V4,V9), P_sdtasdt0-{F}(V9,V3,V10) | P_sdtpldt0-{T}(V6,V6,V8)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #167: exists( #67, #26 ), references = 1, size of lhs = 13:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V7), P_sdtasdt0-{F}(V7,V4,V6), P_sdtasdt0-{F}(V7,V3,V6), P_sdtasdt0-{F}(V7,V5,V8), P_sdtpldt0-{F}(V7,V4,V9), P_sdtasdt0-{F}(V9,V3,V10) | P_sdtpldt0-{T}(V6,V6,V10)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #176: exists( #70, #54 ), references = 4, size of lhs = 6:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_xt-{F}(V4), P_aDimensionOf0-{F}(V3,V5) | P_aDimensionOf0-{T}(V4,V5)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #184: mergings( V2 == V4, V3 == V5, V4 == V7; #180 ), references = 2, size of lhs = 5:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_aDimensionOf0-{F}(V2,V0), P_xt-{F}(V3) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #194: mergings( V5 == V8, V4 == V9; #189 ), references = 1, size of lhs = 9:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), P_sdtpldt0-{F}(V2,V1,V5), P_smndt0-{F}(V1,V6), V6 == V1 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #197: mergings( V5 == V8, V4 == V9; #191 ), references = 1, size of lhs = 9:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), V4 == V1, P_sdtpldt0-{F}(V2,V1,V5), P_smndt0-{F}(V1,V6) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #208: mergings( V3 == V6, V4 == V1, V8 == V9, V5 == V0, V0 == V7, V7 == V10; #200 ), references = 1, size of lhs = 8:
% 0.85/1.08 aScalar0-{F}(V0), P_sz0z00-{F}(V0), aScalar0-{F}(V1), V1 == V0, P_smndt0-{F}(V1,V0), P_smndt0-{F}(V0,V1), P_sz00-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #215: mergings( V3 == V6, V4 == V1, V5 == V0, V0 == V7, V7 == V8; #209 ), references = 1, size of lhs = 7:
% 0.85/1.08 aScalar0-{F}(V0), P_sz0z00-{F}(V0), aScalar0-{F}(V1), V1 == V0, P_smndt0-{F}(V1,V0), P_smndt0-{F}(V0,V1), P_sz00-{F}(V2) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #229: mergings( V2 == V5, V5 == V8, V8 == V11, V3 == V6, V6 == V9, V4 == V7, V7 == V10; #221 ), references = 3, size of lhs = 9:
% 0.85/1.08 P_sz0z00-{F}(V0), P_smndt0-{F}(V0,V1), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), P_szszuzczcdt0-{F}(V3,V4), P_aDimensionOf0-{F}(V5,V4), pppp0-{F}(V5,V6), pppp0-{F}(V7,V6), P_aDimensionOf0-{F}(V7,V8) | P_aDimensionOf0-{T}(V6,V3)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #231: exists( #71, #47 ), references = 1, size of lhs = 9:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aNaturalNumber0-{F}(V3), P_aDimensionOf0-{F}(V4,V5), pppp0-{F}(V4,V6), P_aDimensionOf0-{F}(V6,V7), P_szszuzczcdt0-{F}(V7,V8), P_sdtlbdtrb0-{F}(V4,V3,V9) | P_sdtlbdtrb0-{T}(V6,V3,V9)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #243: mergings( V2 == V8, V8 == V12, V3 == V6, V6 == V13, V4 == V7, V5 == V10, V10 == V11, V11 == V15; #234 ), references = 4, size of lhs = 14:
% 0.85/1.08 aVector0-{F}(V0), P_xt-{F}(V0), aNaturalNumber0-{F}(V1), P_szszuzczcdt0-{F}(V1,V2), P_aDimensionOf0-{F}(V0,V2), P_sz00-{F}(V3), V2 == V3, P_sz0z00-{F}(V4), P_smndt0-{F}(V4,V5), P_xs-{F}(V6), P_sziznziztdt0-{F}(V6,V7), P_aDimensionOf0-{F}(V7,V1), P_aDimensionOf0-{F}(V6,V8), V8 == V3 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #272: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V24, V11 == V22, V0 == V25, V8 == V13, V13 == V22, V22 == V23, V3 == V6, V6 == V10, V10 == V26, V23 == V27, V4 == V20; #250 ), references = 2, size of lhs = 8:
% 0.85/1.08 P_xt-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_xs-{F}(V3), P_sziznziztdt0-{F}(V3,V4), P_aDimensionOf0-{F}(V3,V5), V5 == V1, P_szszuzczcdt0-{F}(V5,V5) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #294: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V20, V20 == V23, V10 == V21, V19 == V24, V7 == V12, V12 == V21, V21 == V22, V22 == V25, V5 == V9, V9 == V0, V3 == V18; #273 ), references = 2, size of lhs = 7:
% 0.85/1.08 P_xt-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V4), V4 == V1, P_szszuzczcdt0-{F}(V4,V4) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #317: mergings( V2 == V5, V5 == V8, V8 == V10, V0 == V11, V6 == V13, V3 == V12, V4 == V9; #307 ), references = 1, size of lhs = 8:
% 0.85/1.08 P_xt-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_xs-{F}(V3), P_sziznziztdt0-{F}(V3,V4), P_aDimensionOf0-{F}(V3,V5), V5 == V1, P_aDimensionOf0-{F}(V4,V5) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #326: mergings( V2 == V5, V5 == V8, V8 == V10, V0 == V11, V6 == V14, V3 == V12, V7 == V13, V4 == V9; #308 ), references = 1, size of lhs = 8:
% 0.85/1.08 P_xt-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_xs-{F}(V3), P_sziznziztdt0-{F}(V3,V4), P_aDimensionOf0-{F}(V3,V5), V5 == V1, P_aDimensionOf0-{F}(V4,V5) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #341: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V17, V8 == V11, V11 == V13, V3 == V6, V6 == V10, V10 == V18, V13 == V20, V14 == V19, V4 == V16; #309 ), references = 1, size of lhs = 8:
% 0.85/1.08 P_xt-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_xs-{F}(V3), P_sziznziztdt0-{F}(V3,V4), P_aDimensionOf0-{F}(V4,V5), V5 == V1, P_aDimensionOf0-{F}(V3,V5) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #362: mergings( V2 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V18, V9 == V16, V11 == V16, V16 == V17, V3 == V6, V6 == V8, V8 == V19, V17 == V20, V4 == V14; #348 ), references = 2, size of lhs = 9:
% 0.85/1.08 P_xt-{F}(V0), aNaturalNumber0-{F}(V1), P_szszuzczcdt0-{F}(V1,V2), P_sz00-{F}(V3), V2 == V3, P_sz0z00-{F}(V4), P_xs-{F}(V5), P_aDimensionOf0-{F}(V5,V2), P_sziznziztdt0-{F}(V5,V6) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #379: mergings( V2 == V3, V0 == V4, V4 == V5, V5 == V6; #372 ), references = 1, size of lhs = 4:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_smndt0-{F}(V1,V1) | P_sdtpldt0-{T}(V1,V1,V1)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #416: mergings( V2 == V5, V5 == V8, V8 == V12, V3 == V6, V6 == V9, V9 == V13, V4 == V7, V7 == V10; #406 ), references = 1, size of lhs = 12:
% 0.85/1.08 P_xt-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V3), P_xs-{F}(V4), P_aDimensionOf0-{F}(V4,V5), V5 == V1, P_aDimensionOf0-{F}(V6,V5), pppp0-{F}(V6,V7), P_sziznziztdt0-{F}(V4,V8), pppp0-{F}(V9,V7), P_aDimensionOf0-{F}(V9,V10) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #426: mergings( V2 == V5, V5 == V8, V8 == V14, V3 == V6, V6 == V9, V9 == V15, V4 == V7, V7 == V10, V10 == V16; #407 ), references = 1, size of lhs = 15:
% 0.85/1.08 aVector0-{F}(V0), P_xt-{F}(V0), P_aDimensionOf0-{F}(V0,V1), P_aDimensionOf0-{F}(V2,V1), pppp0-{F}(V2,V3), P_sz00-{F}(V4), V1 == V4, P_sz0z00-{F}(V5), P_smndt0-{F}(V5,V6), P_xs-{F}(V7), P_sziznziztdt0-{F}(V7,V3), P_aDimensionOf0-{F}(V7,V8), V8 == V4, pppp0-{F}(V9,V3), P_aDimensionOf0-{F}(V9,V10) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #446: mergings( V2 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V12, V0 == V13, V6 == V15, V15 == V17, V3 == V14, V7 == V16, V4 == V11; #433 ), references = 1, size of lhs = 7:
% 0.85/1.08 P_xt-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_xs-{F}(V3), P_sziznziztdt0-{F}(V3,V4), P_aDimensionOf0-{F}(V3,V5), V5 == V1 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #458: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V11, V9 == V12, V5 == V13, V13 == V14, V3 == V10; #447 ), references = 1, size of lhs = 6:
% 0.85/1.08 P_xt-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V4), V4 == V1 | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #468: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V8 == V11, V3 == V9; #459 ), references = 1, size of lhs = 4:
% 0.85/1.08 P_xt-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_xs-{F}(V3) | P_aDimensionOf0-{T}(V3,V1)
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #480: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V7, V7 == V9, V5 == V6, V6 == V8, V8 == V10; #471 ), references = 1, size of lhs = 3:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #490: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V7, V7 == V9, V5 == V6, V6 == V8, V8 == V10; #481 ), references = 1, size of lhs = 2:
% 0.85/1.08 P_sz00-{F}(V0), P_sz0z00-{F}(V1) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #497: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #491 ), references = 1, size of lhs = 1:
% 0.85/1.08 P_sz00-{F}(V0) | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 #499: exists( #64, #491 ), references = 1, size of lhs = 0:
% 0.85/1.08 FALSE | FALSE
% 0.85/1.08 (used 0 times, uses = {})
% 0.85/1.08
% 0.85/1.08 number of learnt formulas = 38
% 0.85/1.08
% 0.85/1.08
% 0.85/1.08 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.08
% 0.85/1.08 randbase = 1
%------------------------------------------------------------------------------