TSTP Solution File: NUM425+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM425+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:12:26 EDT 2022
% Result : Theorem 36.64s 36.85s
% Output : Refutation 36.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM425+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n021.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 23:43:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 36.64/36.85 GeoParameters:
% 36.64/36.85
% 36.64/36.85 tptp_input = 1
% 36.64/36.85 tptp_output = 0
% 36.64/36.85 nonempty = 1
% 36.64/36.85 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.64/36.85 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 36.64/36.85
% 36.64/36.85
% 36.64/36.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.64/36.85 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.64/36.85
% 36.64/36.85 RuleSystem INPUT:
% 36.64/36.85
% 36.64/36.85 Initial Rules:
% 36.64/36.85 #0: input, references = 3, size of lhs = 1:
% 36.64/36.85 P_sz00-{F}(V0) | aInteger0-{T}(V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #1: input, references = 3, size of lhs = 2:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1) | aInteger0-{T}(V1)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #2: input, references = 11, size of lhs = 4:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V2,V3), aInteger0-{F}(V2) | aInteger0-{T}(V3)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #3: input, references = 8, size of lhs = 5:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aInteger0-{F}(V3) | aInteger0-{T}(V4)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #4: input, references = 3, size of lhs = 5:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aInteger0-{F}(V3) | aInteger0-{T}(V4)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #5: input, references = 6, size of lhs = 10:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aInteger0-{F}(V3), P_sdtpldt0-{F}(V5,V4,V6), P_sdtpldt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V7,V2,V8), aInteger0-{F}(V5), V6 == V8 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #6: input, references = 4, size of lhs = 7:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), P_sdtpldt0-{F}(V2,V3,V5), aInteger0-{F}(V3), V4 == V5 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #7: input, references = 6, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aInteger0-{F}(V2), V3 == V2 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #8: input, references = 5, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aInteger0-{F}(V2), V2 == V4 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #9: input, references = 4, size of lhs = 7:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V2,V3), P_sdtpldt0-{F}(V2,V3,V4), P_sdtpldt0-{F}(V3,V2,V5), aInteger0-{F}(V2), V4 == V0 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #10: input, references = 5, size of lhs = 7:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V2,V3), P_sdtpldt0-{F}(V2,V3,V4), P_sdtpldt0-{F}(V3,V2,V5), aInteger0-{F}(V2), V0 == V5 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #11: input, references = 8, size of lhs = 10:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aInteger0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V7,V2,V8), aInteger0-{F}(V5), V6 == V8 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #12: input, references = 5, size of lhs = 7:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V5), aInteger0-{F}(V3), V4 == V5 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #13: input, references = 5, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aInteger0-{F}(V2), V3 == V2 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #14: input, references = 4, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aInteger0-{F}(V2), V2 == V4 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #15: input, references = 7, size of lhs = 15:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V3,V2,V5), aInteger0-{F}(V3), P_sdtasdt0-{F}(V6,V4,V7), P_sdtasdt0-{F}(V6,V3,V8), P_sdtasdt0-{F}(V6,V2,V9), P_sdtpldt0-{F}(V8,V9,V10), P_sdtpldt0-{F}(V6,V3,V11), P_sdtasdt0-{F}(V11,V2,V12), P_sdtpldt0-{F}(V9,V5,V13), aInteger0-{F}(V6), V7 == V10 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #16: input, references = 4, size of lhs = 15:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V3,V2,V5), aInteger0-{F}(V3), P_sdtasdt0-{F}(V6,V4,V7), P_sdtasdt0-{F}(V6,V3,V8), P_sdtasdt0-{F}(V6,V2,V9), P_sdtpldt0-{F}(V8,V9,V10), P_sdtpldt0-{F}(V6,V3,V11), P_sdtasdt0-{F}(V11,V2,V12), P_sdtpldt0-{F}(V9,V5,V13), aInteger0-{F}(V6), V12 == V13 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #17: input, references = 5, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V0,V2,V4), aInteger0-{F}(V2), V3 == V0 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #18: input, references = 5, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V0,V2,V4), aInteger0-{F}(V2), V0 == V4 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #19: input, references = 5, size of lhs = 8:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_sdtasdt0-{F}(V2,V3,V4), P_smndt0-{F}(V3,V5), P_sdtasdt0-{F}(V3,V2,V6), aInteger0-{F}(V3), V4 == V5 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #20: input, references = 3, size of lhs = 8:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_sdtasdt0-{F}(V2,V3,V4), P_smndt0-{F}(V3,V5), P_sdtasdt0-{F}(V3,V2,V6), aInteger0-{F}(V3), V5 == V6 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #21: input, references = 6, size of lhs = 8:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), P_sdtasdt0-{F}(V4,V3,V0), aInteger0-{F}(V4), V3 == V0, V4 == V0 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #22: input, references = 5, size of lhs = 5:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), aDivisorOf0-{F}(V4,V3) | pppp0-{T}(V3,V4)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #23: input, references = 3, size of lhs = 5:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), pppp0-{F}(V3,V4) | aDivisorOf0-{T}(V4,V3)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #24: input, references = 3, size of lhs = 4:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), pppp0-{F}(V3,V4) | aInteger0-{T}(V4)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #25: input, references = 3, size of lhs = 4:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), pppp0-{F}(V3,V0) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #26: input, references = 7, size of lhs = 4:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), pppp0-{F}(V3,V4) | EXISTS V5: pppp1-{T}(V3,V4,V5)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #27: input, references = 3, size of lhs = 7:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V4), P_sdtasdt0-{F}(V4,V5,V3), aInteger0-{F}(V5), V4 == V0 | pppp0-{T}(V3,V4)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #28: input, references = 4, size of lhs = 3:
% 36.64/36.85 pppp1-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3), V3 == V0 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #29: input, references = 8, size of lhs = 2:
% 36.64/36.85 pppp1-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3) | aInteger0-{T}(V2)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #30: input, references = 5, size of lhs = 10:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), P_smndt0-{F}(V4,V5), aInteger0-{F}(V4), P_sdtpldt0-{F}(V6,V5,V7), aInteger0-{F}(V6), sdteqdtlpzmzozddtrp0-{F}(V6,V4,V3), V3 == V0 | aDivisorOf0-{T}(V3,V7)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #31: input, references = 3, size of lhs = 10:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), P_smndt0-{F}(V4,V5), aInteger0-{F}(V4), P_sdtpldt0-{F}(V6,V5,V7), aInteger0-{F}(V6), aDivisorOf0-{F}(V3,V7), V3 == V0 | sdteqdtlpzmzozddtrp0-{T}(V6,V4,V3)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #32: input, references = 3, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), aInteger0-{F}(V4), V3 == V0 | sdteqdtlpzmzozddtrp0-{T}(V4,V4,V3)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #33: input, references = 23, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xb-{F}(V4), P_xq-{F}(V5) | aInteger0-{T}(V3)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #34: input, references = 6, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xb-{F}(V4), P_xq-{F}(V5) | aInteger0-{T}(V4)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #35: input, references = 7, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xb-{F}(V4), P_xq-{F}(V5) | aInteger0-{T}(V5)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #36: input, references = 4, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xb-{F}(V4), P_xq-{F}(V0) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #37: input, references = 6, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xb-{F}(V4), P_xq-{F}(V5) | sdteqdtlpzmzozddtrp0-{T}(V3,V4,V5)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #38: input, references = 8, size of lhs = 10:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xb-{F}(V4), P_xq-{F}(V5), P_smndt0-{F}(V4,V6), P_sdtpldt0-{F}(V3,V6,V7), P_sdtasdt0-{F}(V5,V8,V7), aInteger0-{F}(V8) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #39: input, references = 4, size of lhs = 0:
% 36.64/36.85 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #40: input, references = 4, size of lhs = 0:
% 36.64/36.85 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #41: input, references = 23, size of lhs = 1:
% 36.64/36.85 #-{F} V0 | EXISTS V1: P_smndt0-{T}(V0,V1)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #42: input, references = 16, size of lhs = 2:
% 36.64/36.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #43: input, references = 13, size of lhs = 2:
% 36.64/36.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #44: input, references = 5, size of lhs = 0:
% 36.64/36.85 FALSE | EXISTS V0: P_xa-{T}(V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #45: input, references = 6, size of lhs = 0:
% 36.64/36.85 FALSE | EXISTS V0: P_xb-{T}(V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #46: input, references = 9, size of lhs = 0:
% 36.64/36.85 FALSE | EXISTS V0: P_xq-{T}(V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 number of initial rules = 47
% 36.64/36.85
% 36.64/36.85 Simplifiers:
% 36.64/36.85 #47: unsound, references = 3, size of lhs = 3:
% 36.64/36.85 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #48: unsound, references = 3, size of lhs = 3:
% 36.64/36.85 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #49: unsound, references = 3, size of lhs = 3:
% 36.64/36.85 P_smndt0-{F}(V0,V1), P_smndt0-{F}(V0,V3), V1 == V3 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #50: unsound, references = 3, size of lhs = 3:
% 36.64/36.85 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #51: unsound, references = 3, size of lhs = 3:
% 36.64/36.85 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #52: unsound, references = 3, size of lhs = 3:
% 36.64/36.85 P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #53: unsound, references = 3, size of lhs = 3:
% 36.64/36.85 P_xb-{F}(V0), P_xb-{F}(V1), V0 == V1 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #54: unsound, references = 3, size of lhs = 3:
% 36.64/36.85 P_xq-{F}(V0), P_xq-{F}(V1), V0 == V1 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #55: unsound, references = 3, size of lhs = 3:
% 36.64/36.85 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 number of simplifiers = 9
% 36.64/36.85
% 36.64/36.85 Learnt:
% 36.64/36.85 #64: mergings( V2 == V6, V0 == V7; #59 ), references = 2, size of lhs = 9:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_smndt0-{F}(V0,V5), P_sdtpldt0-{F}(V0,V5,V6), V6 == V3, P_sdtpldt0-{F}(V5,V0,V7) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #67: mergings( V2 == V6, V0 == V7; #60 ), references = 2, size of lhs = 9:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_smndt0-{F}(V0,V5), P_sdtpldt0-{F}(V0,V5,V6), P_sdtpldt0-{F}(V5,V0,V7), V3 == V7 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #72: mergings( V2 == V6, V3 == V7; #68 ), references = 1, size of lhs = 6:
% 36.64/36.85 P_xa-{F}(V0), P_smndt0-{F}(V0,V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4) | P_sdtpldt0-{T}(V0,V0,V3)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #81: mergings( V2 == V6; #78 ), references = 1, size of lhs = 7:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), V0 == V3, P_sdtasdt0-{F}(V0,V0,V3), P_sz10-{F}(V4) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #86: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9; #79 ), references = 2, size of lhs = 8:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xa-{F}(V2), P_xb-{F}(V3), P_xq-{F}(V4), P_smndt0-{F}(V3,V5), P_sdtpldt0-{F}(V2,V5,V6), P_sdtasdt0-{F}(V4,V2,V6) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #92: exists( #42, #7 ), references = 1, size of lhs = 3:
% 36.64/36.85 P_sz00-{F}(V0), aInteger0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #94: exists( #41, #36 ), references = 2, size of lhs = 5:
% 36.64/36.85 P_sz00-{F}(V0), P_xq-{F}(V0), P_sz10-{F}(V1), P_xa-{F}(V2), P_xb-{F}(V3) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #98: exists( #42, #10 ), references = 1, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_smndt0-{F}(V2,V3), P_sdtpldt0-{F}(V3,V2,V4), V0 == V4 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #99: exists( #42, #8 ), references = 2, size of lhs = 4:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3) | P_sdtpldt0-{T}(V0,V2,V2)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #100: exists( #42, #6 ), references = 6, size of lhs = 5:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), aInteger0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4) | P_sdtpldt0-{T}(V2,V3,V4)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #102: exists( #42, #96 ), references = 5, size of lhs = 4:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_smndt0-{F}(V2,V3) | P_sdtpldt0-{T}(V3,V2,V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #121: mergings( V2 == V4, V4 == V6, V6 == V0, V3 == V5, V5 == V7, V7 == V8; #112 ), references = 1, size of lhs = 3:
% 36.64/36.85 aInteger0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_smndt0-{T}(V0,V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #139: mergings( V3 == V1, V4 == V5; #134 ), references = 5, size of lhs = 4:
% 36.64/36.85 aInteger0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #146: exists( #43, #13 ), references = 1, size of lhs = 3:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #147: exists( #43, #17 ), references = 1, size of lhs = 3:
% 36.64/36.85 P_sz00-{F}(V0), aInteger0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #153: exists( #43, #13 ), references = 3, size of lhs = 5:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), V3 == V2 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #154: exists( #43, #17 ), references = 2, size of lhs = 5:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #156: mergings( V4 == V1; #151 ), references = 5, size of lhs = 4:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V2) | P_sdtasdt0-{T}(V1,V2,V2)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #159: exists( #43, #150 ), references = 6, size of lhs = 3:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtasdt0-{T}(V2,V1,V2)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #160: exists( #43, #152 ), references = 4, size of lhs = 3:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #175: mergings( V1 == V6, V6 == V8, V2 == V8, V8 == V7; #168 ), references = 1, size of lhs = 6:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_sz10-{F}(V2), V2 == V0, P_sz00-{F}(V2), P_smndt0-{F}(V2,V3) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #193: mergings( V1 == V5, V5 == V7, V2 == V7, V7 == V6; #186 ), references = 1, size of lhs = 5:
% 36.64/36.85 P_xa-{F}(V0), P_sz10-{F}(V1), V1 == V0, P_sz00-{F}(V1), P_smndt0-{F}(V1,V2) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #211: mergings( V1 == V4, V4 == V6, V2 == V6, V6 == V5; #204 ), references = 1, size of lhs = 3:
% 36.64/36.85 P_sz10-{F}(V0), P_sz00-{F}(V0), P_smndt0-{F}(V0,V1) | P_xa-{T}(V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #237: mergings( V1 == V6, V6 == V8, V2 == V7, V7 == V9, V4 == V8, V5 == V10; #230 ), references = 1, size of lhs = 7:
% 36.64/36.85 P_xa-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xb-{F}(V3), P_smndt0-{F}(V3,V4), P_sdtpldt0-{F}(V0,V4,V0) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #253: mergings( V1 == V6, V6 == V8, V2 == V8, V8 == V7, V7 == V4; #245 ), references = 1, size of lhs = 6:
% 36.64/36.85 P_xa-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V0), P_smndt0-{F}(V0,V1), P_xb-{F}(V2), V0 == V2 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #275: mergings( V1 == V5, V5 == V7, V2 == V7, V7 == V6, V6 == V4; #267 ), references = 1, size of lhs = 4:
% 36.64/36.85 P_xa-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V0), P_smndt0-{F}(V0,V1) | P_xb-{T}(V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #302: mergings( V2 == V6, V0 == V7; #298 ), references = 1, size of lhs = 7:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_sdtasdt0-{F}(V0,V3,V5), V5 == V3 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #305: mergings( V2 == V6, V0 == V7; #299 ), references = 2, size of lhs = 12:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), aInteger0-{F}(V5), aInteger0-{F}(V6), P_sdtasdt0-{F}(V6,V5,V7), P_sdtasdt0-{F}(V0,V7,V8), P_sdtasdt0-{F}(V0,V6,V9), P_sdtasdt0-{F}(V9,V5,V10), V8 == V10 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #309: mergings( V3 == V1, V4 == V7; #306 ), references = 1, size of lhs = 5:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4) | P_sdtasdt0-{T}(V0,V3,V3)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #313: exists( #41, #38 ), references = 4, size of lhs = 9:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xa-{F}(V2), P_xb-{F}(V3), P_xq-{F}(V4), P_smndt0-{F}(V3,V5), P_sdtpldt0-{F}(V2,V5,V6), aInteger0-{F}(V7), P_sdtasdt0-{F}(V4,V7,V6) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #344: mergings( V2 == V5, V5 == V7, V7 == V11, V11 == V15, V3 == V4, V4 == V6, V6 == V0, V0 == V12, V12 == V13, V13 == V14, V14 == V16; #332 ), references = 1, size of lhs = 8:
% 36.64/36.85 aInteger0-{F}(V0), P_sz10-{F}(V0), P_xa-{F}(V1), P_smndt0-{F}(V1,V0), P_xb-{F}(V2), P_xq-{F}(V3), aInteger0-{F}(V4), P_sz00-{F}(V4) | P_smndt0-{T}(V0,V1)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #387: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V13, V6 == V8, V8 == V10, V10 == V0, V3 == V14, V4 == V15; #377 ), references = 1, size of lhs = 9:
% 36.64/36.85 P_xa-{F}(V0), P_smndt0-{F}(V0,V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xb-{F}(V4), P_smndt0-{F}(V4,V1), P_xq-{F}(V5), aInteger0-{F}(V6), P_sdtasdt0-{F}(V5,V6,V2) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #398: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V13, V0 == V6, V6 == V8, V8 == V10, V10 == V14, V3 == V15, V4 == V16; #376 ), references = 1, size of lhs = 9:
% 36.64/36.85 P_xa-{F}(V0), P_smndt0-{F}(V0,V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xb-{F}(V4), P_smndt0-{F}(V4,V1), P_xq-{F}(V5), aInteger0-{F}(V6), P_sdtasdt0-{F}(V5,V6,V2) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #410: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V11, V6 == V8, V8 == V10, V10 == V12, V3 == V0, V4 == V13; #399 ), references = 2, size of lhs = 7:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), P_xq-{F}(V3), aInteger0-{F}(V4), P_sdtasdt0-{F}(V3,V4,V1) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #428: mergings( V2 == V6, V0 == V7, V8 == V6; #422 ), references = 1, size of lhs = 8:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sdtasdt0-{F}(V0,V3,V3), P_sz10-{F}(V4), P_sdtasdt0-{F}(V3,V0,V5), V3 == V5 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #431: mergings( V2 == V6, V0 == V7; #423 ), references = 1, size of lhs = 9:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), aInteger0-{F}(V5), P_sdtasdt0-{F}(V0,V5,V6), P_sdtasdt0-{F}(V5,V0,V7), V6 == V7 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #434: mergings( V2 == V6, V0 == V7; #424 ), references = 2, size of lhs = 12:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), aInteger0-{F}(V5), P_sdtasdt0-{F}(V5,V0,V6), aInteger0-{F}(V7), P_sdtasdt0-{F}(V7,V6,V8), P_sdtasdt0-{F}(V7,V5,V9), P_sdtasdt0-{F}(V9,V0,V10), V8 == V10 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #440: mergings( V3 == V0, V4 == V7, V8 == V0; #435 ), references = 1, size of lhs = 6:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sdtasdt0-{F}(V0,V3,V3), P_sz10-{F}(V4) | P_sdtasdt0-{T}(V3,V0,V3)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #443: mergings( V3 == V7, V4 == V8; #436 ), references = 1, size of lhs = 7:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), aInteger0-{F}(V5), P_sdtasdt0-{F}(V0,V5,V6) | P_sdtasdt0-{T}(V5,V0,V6)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #464: mergings( V2 == V6, V6 == V8, V0 == V7, V7 == V9; #458 ), references = 1, size of lhs = 10:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), aInteger0-{F}(V3), P_sz00-{F}(V3), P_sz10-{F}(V4), aInteger0-{F}(V5), P_sdtpldt0-{F}(V3,V5,V3), P_sdtpldt0-{F}(V0,V5,V6), V0 == V6 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #472: mergings( V2 == V6, V6 == V8, V0 == V7, V7 == V9, V10 == V13, V11 == V12, V13 == V8; #459 ), references = 1, size of lhs = 13:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), aInteger0-{F}(V3), P_sz00-{F}(V3), P_sdtasdt0-{F}(V0,V3,V3), P_sz10-{F}(V4), P_sdtasdt0-{F}(V0,V0,V5), P_sdtpldt0-{F}(V5,V3,V6), V5 == V6, P_sdtpldt0-{F}(V0,V0,V7), P_sdtasdt0-{F}(V7,V3,V8), P_sdtpldt0-{F}(V3,V3,V9) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #479: mergings( V3 == V7, V7 == V9, V4 == V8, V8 == V10; #473 ), references = 1, size of lhs = 8:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), aInteger0-{F}(V3), P_sz00-{F}(V3), P_sz10-{F}(V4), aInteger0-{F}(V5), P_sdtpldt0-{F}(V3,V5,V3) | P_sdtpldt0-{T}(V0,V5,V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #492: exists( #42, #64 ), references = 1, size of lhs = 8:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_smndt0-{F}(V0,V5), P_sdtpldt0-{F}(V0,V5,V6), V6 == V3 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #493: exists( #42, #67 ), references = 1, size of lhs = 7:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_smndt0-{F}(V0,V5), P_sdtpldt0-{F}(V0,V5,V6) | P_sdtpldt0-{T}(V5,V0,V3)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #514: mergings( V2 == V8, V0 == V5, V5 == V9, V3 == V7, V4 == V7; #506 ), references = 1, size of lhs = 6:
% 36.64/36.85 P_xq-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V1), P_sz00-{F}(V2), aInteger0-{F}(V2), P_sz10-{F}(V3) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #521: mergings( V1 == V7, V2 == V5, V5 == V8, V3 == V6, V4 == V6; #515 ), references = 1, size of lhs = 5:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V0), P_sz00-{F}(V1), aInteger0-{F}(V1), P_sz10-{F}(V2) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #535: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V7, V7 == V9; #528 ), references = 1, size of lhs = 8:
% 36.64/36.85 aInteger0-{F}(V0), aInteger0-{F}(V1), P_xa-{F}(V1), P_xq-{F}(V2), P_sz10-{F}(V2), P_sz00-{F}(V3), P_xb-{F}(V4), P_smndt0-{F}(V4,V0) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #541: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V7, V7 == V9; #529 ), references = 2, size of lhs = 9:
% 36.64/36.85 aInteger0-{F}(V0), aInteger0-{F}(V1), P_xa-{F}(V1), P_xq-{F}(V2), P_sz10-{F}(V2), P_sz00-{F}(V3), P_smndt0-{F}(V2,V4), P_xb-{F}(V5), P_smndt0-{F}(V5,V0) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #562: mergings( V2 == V4, V4 == V8, V3 == V0, V0 == V5, V5 == V6; #556 ), references = 1, size of lhs = 6:
% 36.64/36.85 aInteger0-{F}(V0), P_sz10-{F}(V0), P_xb-{F}(V0), P_xq-{F}(V0), P_xa-{F}(V1), P_sz00-{F}(V2) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #569: exists( #43, #19 ), references = 1, size of lhs = 5:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V2), P_smndt0-{F}(V2,V3) | P_sdtasdt0-{T}(V2,V2,V3)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #573: exists( #42, #5 ), references = 1, size of lhs = 8:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), aInteger0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aInteger0-{F}(V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtpldt0-{F}(V5,V3,V7) | P_sdtpldt0-{T}(V7,V2,V6)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #574: exists( #42, #15 ), references = 1, size of lhs = 12:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), aInteger0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V3,V2,V5), aInteger0-{F}(V6), P_sdtasdt0-{F}(V6,V3,V5), P_sdtasdt0-{F}(V6,V2,V5), P_sdtasdt0-{F}(V6,V4,V7), P_sdtpldt0-{F}(V6,V3,V8), P_sdtasdt0-{F}(V8,V2,V9) | P_sdtpldt0-{T}(V5,V5,V7)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #575: exists( #42, #16 ), references = 1, size of lhs = 12:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), aInteger0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V3,V2,V5), aInteger0-{F}(V6), P_sdtasdt0-{F}(V6,V3,V5), P_sdtasdt0-{F}(V6,V2,V5), P_sdtasdt0-{F}(V6,V4,V7), P_sdtpldt0-{F}(V6,V3,V8), P_sdtasdt0-{F}(V8,V2,V9) | P_sdtpldt0-{T}(V5,V5,V9)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #581: mergings( V4 == V0; #577 ), references = 1, size of lhs = 4:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V0) | P_sdtasdt0-{T}(V0,V2,V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #582: exists( #43, #12 ), references = 2, size of lhs = 5:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), aInteger0-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4) | P_sdtasdt0-{T}(V2,V3,V4)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #590: mergings( V3 == V5, V4 == V6; #586 ), references = 2, size of lhs = 6:
% 36.64/36.85 aInteger0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), P_smndt0-{F}(V2,V0), aInteger0-{F}(V3), P_smndt0-{F}(V3,V4) | P_sdtasdt0-{T}(V0,V3,V4)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #601: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #594 ), references = 3, size of lhs = 12:
% 36.64/36.85 aInteger0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V2), P_sdtpldt0-{F}(V2,V0,V3), aInteger0-{F}(V4), P_sdtasdt0-{F}(V4,V0,V4), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V6,V4,V7), V5 == V7 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #610: exists( #42, #601 ), references = 1, size of lhs = 10:
% 36.64/36.85 aInteger0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V2), P_sdtpldt0-{F}(V2,V0,V3), aInteger0-{F}(V4), P_sdtasdt0-{F}(V4,V0,V4), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6) | P_sdtpldt0-{T}(V6,V4,V5)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #617: mergings( V2 == V5, V3 == V6; #614 ), references = 1, size of lhs = 10:
% 36.64/36.85 aInteger0-{F}(V0), aInteger0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_smndt0-{F}(V3,V0), aInteger0-{F}(V4), aInteger0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V1), P_sdtasdt0-{F}(V0,V5,V6), P_sdtasdt0-{F}(V6,V4,V7) | P_smndt0-{T}(V1,V7)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #620: exists( #43, #11 ), references = 1, size of lhs = 8:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), aInteger0-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), aInteger0-{F}(V5), P_sdtasdt0-{F}(V5,V3,V6), P_sdtasdt0-{F}(V6,V2,V7) | P_sdtasdt0-{T}(V5,V4,V7)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #621: exists( #43, #434 ), references = 1, size of lhs = 10:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), aInteger0-{F}(V5), P_sdtasdt0-{F}(V5,V0,V6), aInteger0-{F}(V7), P_sdtasdt0-{F}(V7,V5,V8), P_sdtasdt0-{F}(V8,V0,V9) | P_sdtasdt0-{T}(V7,V6,V9)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #630: exists( #43, #28 ), references = 6, size of lhs = 1:
% 36.64/36.85 pppp1-{F}(V0,V1,V2) | P_sdtasdt0-{T}(V1,V2,V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #640: mergings( V0 == V6, V1 == V7, V2 == V8; #634 ), references = 1, size of lhs = 9:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), V3 == V0, aInteger0-{F}(V4), V4 == V0, pppp1-{F}(V0,V4,V3), pppp0-{F}(V5,V6) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #643: mergings( V0 == V7, V1 == V6; #635 ), references = 1, size of lhs = 14:
% 36.64/36.85 aInteger0-{F}(V0), P_sz10-{F}(V0), P_smndt0-{F}(V0,V1), P_sz00-{F}(V2), aInteger0-{F}(V3), P_sdtasdt0-{F}(V3,V0,V3), P_sdtpldt0-{F}(V3,V0,V4), aInteger0-{F}(V5), P_sdtasdt0-{F}(V5,V0,V5), pppp1-{F}(V6,V5,V3), P_sdtasdt0-{F}(V5,V4,V7), P_sdtpldt0-{F}(V6,V5,V8), V7 == V8, pppp0-{F}(V9,V10) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #646: mergings( V0 == V6, V1 == V7; #636 ), references = 1, size of lhs = 17:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), aInteger0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aInteger0-{F}(V7), pppp1-{F}(V8,V7,V5), P_sdtasdt0-{F}(V7,V4,V9), P_sdtasdt0-{F}(V7,V3,V10), P_sdtpldt0-{F}(V9,V10,V11), V8 == V11, P_sdtpldt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtpldt0-{F}(V10,V6,V14), pppp0-{F}(V15,V16) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #656: mergings( V0 == V3, V1 == V6, V2 == V7; #651 ), references = 1, size of lhs = 6:
% 36.64/36.85 P_sz00-{F}(V0), pppp0-{F}(V0,V1), V1 == V0, aInteger0-{F}(V1), P_sz10-{F}(V2), P_smndt0-{F}(V2,V3) | pppp1-{T}(V0,V1,V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #680: mergings( V0 == V6, V6 == V7, V7 == V9, V1 == V8, V8 == V10; #673 ), references = 1, size of lhs = 8:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), pppp0-{F}(V4,V3), aInteger0-{F}(V5), P_sdtasdt0-{F}(V5,V3,V1), P_sdtasdt0-{F}(V5,V4,V6) | pppp1-{T}(V4,V3,V6)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #686: mergings( V0 == V6, V6 == V7, V7 == V12, V1 == V8, V8 == V13; #674 ), references = 1, size of lhs = 10:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_smndt0-{F}(V4,V5), aInteger0-{F}(V6), P_sdtasdt0-{F}(V0,V6,V4), pppp0-{F}(V7,V6), P_sdtasdt0-{F}(V0,V7,V8) | pppp1-{T}(V7,V6,V8)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #707: mergings( V0 == V6, V1 == V7; #703 ), references = 2, size of lhs = 9:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xb-{F}(V4), P_xq-{F}(V5), P_smndt0-{F}(V4,V6), P_sdtpldt0-{F}(V3,V6,V7), pppp0-{F}(V7,V5) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #711: mergings( V0 == V6, V1 == V7, V2 == V8; #704 ), references = 2, size of lhs = 9:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xb-{F}(V4), P_xq-{F}(V5), P_smndt0-{F}(V4,V6), P_sdtpldt0-{F}(V3,V6,V7), pppp0-{F}(V7,V5) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #732: mergings( V3 == V5, V5 == V10, V10 == V13, V4 == V6, V6 == V11, V11 == V14, V7 == V12, V12 == V15; #722 ), references = 3, size of lhs = 14:
% 36.64/36.85 aInteger0-{F}(V0), aInteger0-{F}(V1), P_xq-{F}(V1), aInteger0-{F}(V2), P_smndt0-{F}(V2,V0), aInteger0-{F}(V3), sdteqdtlpzmzozddtrp0-{F}(V3,V2,V1), P_xa-{F}(V3), P_sz00-{F}(V4), V1 == V4, P_sz10-{F}(V5), P_smndt0-{F}(V5,V6), P_xb-{F}(V7), P_smndt0-{F}(V7,V0) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #741: mergings( V3 == V5, V5 == V10, V10 == V13, V4 == V6, V6 == V11, V11 == V14, V7 == V12, V12 == V15; #723 ), references = 2, size of lhs = 14:
% 36.64/36.85 aInteger0-{F}(V0), aInteger0-{F}(V1), P_xq-{F}(V1), aInteger0-{F}(V2), P_smndt0-{F}(V2,V0), aInteger0-{F}(V3), sdteqdtlpzmzozddtrp0-{F}(V3,V2,V1), P_xa-{F}(V3), P_sz00-{F}(V4), V1 == V4, P_sz10-{F}(V5), P_smndt0-{F}(V5,V6), P_xb-{F}(V7), P_smndt0-{F}(V7,V0) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #764: mergings( V2 == V6, V0 == V7; #761 ), references = 1, size of lhs = 8:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_sdtpldt0-{F}(V0,V3,V5), P_sdtpldt0-{F}(V3,V0,V6), V0 == V6 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #768: mergings( V3 == V0, V4 == V7; #765 ), references = 1, size of lhs = 6:
% 36.64/36.85 P_xa-{F}(V0), P_xb-{F}(V1), P_xq-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_sdtpldt0-{F}(V0,V3,V5) | P_sdtpldt0-{T}(V3,V0,V0)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #798: mergings( V2 == V4, V4 == V7, V7 == V10, V10 == V13, V3 == V0, V8 == V12, V5 == V9, V9 == V0, V6 == V11; #787 ), references = 1, size of lhs = 7:
% 36.64/36.85 aInteger0-{F}(V0), P_sz10-{F}(V0), P_xb-{F}(V0), P_xq-{F}(V1), P_xa-{F}(V2), P_sz00-{F}(V3), V1 == V3 | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #809: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V11, V2 == V9, V6 == V10, V4 == V7, V7 == V9; #799 ), references = 1, size of lhs = 5:
% 36.64/36.85 aInteger0-{F}(V0), P_sz10-{F}(V0), P_xb-{F}(V0), P_xa-{F}(V1), P_sz00-{F}(V2) | P_xq-{T}(V2)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #819: mergings( V2 == V6, V3 == V7; #815 ), references = 3, size of lhs = 11:
% 36.64/36.85 aInteger0-{F}(V0), P_xq-{F}(V0), aInteger0-{F}(V1), P_xb-{F}(V1), aInteger0-{F}(V2), sdteqdtlpzmzozddtrp0-{F}(V2,V1,V0), P_xa-{F}(V2), P_sz00-{F}(V3), V0 == V3, P_sz10-{F}(V4), P_smndt0-{F}(V4,V5) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #822: mergings( V2 == V6, V3 == V7; #816 ), references = 1, size of lhs = 11:
% 36.64/36.85 aInteger0-{F}(V0), P_xq-{F}(V0), aInteger0-{F}(V1), P_xb-{F}(V1), aInteger0-{F}(V2), sdteqdtlpzmzozddtrp0-{F}(V2,V1,V0), P_xa-{F}(V2), P_sz00-{F}(V3), V0 == V3, P_sz10-{F}(V4), P_smndt0-{F}(V4,V5) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #844: mergings( V2 == V5, V5 == V8, V8 == V11, V6 == V10, V3 == V9, V4 == V7, V7 == V9; #835 ), references = 1, size of lhs = 6:
% 36.64/36.85 P_xq-{F}(V0), P_xb-{F}(V0), P_xa-{F}(V1), P_sz00-{F}(V2), V0 == V2, P_sz10-{F}(V3) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #872: mergings( V2 == V5, V5 == V8, V8 == V12, V6 == V11, V3 == V10, V4 == V7, V7 == V9; #863 ), references = 2, size of lhs = 7:
% 36.64/36.85 aInteger0-{F}(V0), P_xq-{F}(V0), P_xb-{F}(V1), P_xa-{F}(V2), P_sz00-{F}(V3), V0 == V3, P_sz10-{F}(V4) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #880: mergings( V2 == V8, V0 == V9, V3 == V7, V4 == V6; #875 ), references = 1, size of lhs = 6:
% 36.64/36.85 P_xq-{F}(V0), P_xb-{F}(V1), P_xa-{F}(V2), P_sz00-{F}(V3), V0 == V3, P_sz10-{F}(V4) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #886: mergings( V1 == V7, V2 == V8, V3 == V6, V4 == V5; #881 ), references = 1, size of lhs = 4:
% 36.64/36.85 P_xb-{F}(V0), P_xa-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | P_xq-{T}(V2)
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #894: mergings( V1 == V6, V2 == V5, V5 == V7, V3 == V4, V4 == V8; #888 ), references = 1, size of lhs = 3:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xa-{F}(V2) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #899: mergings( V1 == V4, V2 == V3, V3 == V5; #895 ), references = 1, size of lhs = 2:
% 36.64/36.85 P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #902: mergings( V1 == V2; #900 ), references = 1, size of lhs = 1:
% 36.64/36.85 P_sz00-{F}(V0) | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 #904: exists( #39, #900 ), references = 1, size of lhs = 0:
% 36.64/36.85 FALSE | FALSE
% 36.64/36.85 (used 0 times, uses = {})
% 36.64/36.85
% 36.64/36.85 number of learnt formulas = 86
% 36.64/36.85
% 36.64/36.85
% 36.64/36.85 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.64/36.85
% 36.64/36.85 randbase = 1
%------------------------------------------------------------------------------