TSTP Solution File: NUM423+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM423+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:12:25 EDT 2022
% Result : Theorem 1.00s 1.20s
% Output : Refutation 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM423+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jul 22 23:11:27 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.00/1.20 GeoParameters:
% 1.00/1.20
% 1.00/1.20 tptp_input = 1
% 1.00/1.20 tptp_output = 0
% 1.00/1.20 nonempty = 1
% 1.00/1.20 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.00/1.20 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.00/1.20
% 1.00/1.20
% 1.00/1.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.00/1.20 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.00/1.20
% 1.00/1.20 RuleSystem INPUT:
% 1.00/1.20
% 1.00/1.20 Initial Rules:
% 1.00/1.20 #0: input, references = 4, size of lhs = 1:
% 1.00/1.20 P_sz00-{F}(V0) | aInteger0-{T}(V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #1: input, references = 3, size of lhs = 2:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1) | aInteger0-{T}(V1)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #2: input, references = 4, size of lhs = 4:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V2,V3), aInteger0-{F}(V2) | aInteger0-{T}(V3)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #3: input, references = 3, size of lhs = 5:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aInteger0-{F}(V3) | aInteger0-{T}(V4)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #4: input, references = 3, size of lhs = 5:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aInteger0-{F}(V3) | aInteger0-{T}(V4)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #5: input, references = 3, size of lhs = 10:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #6: input, references = 5, size of lhs = 7:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #7: input, references = 5, size of lhs = 6:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #8: input, references = 5, size of lhs = 6:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #9: input, references = 8, size of lhs = 7:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #10: input, references = 5, size of lhs = 7:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #11: input, references = 4, size of lhs = 10:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #12: input, references = 5, size of lhs = 7:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #13: input, references = 5, size of lhs = 6:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #14: input, references = 3, size of lhs = 6:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #15: input, references = 3, size of lhs = 15:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #16: input, references = 4, size of lhs = 15:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #17: input, references = 5, size of lhs = 6:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #18: input, references = 5, size of lhs = 6:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #19: input, references = 3, size of lhs = 8:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #20: input, references = 3, size of lhs = 8:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #21: input, references = 5, size of lhs = 8:
% 1.00/1.20 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
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #22: input, references = 3, size of lhs = 5:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), aDivisorOf0-{F}(V4,V3) | pppp0-{T}(V3,V4)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #23: input, references = 4, size of lhs = 5:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), pppp0-{F}(V3,V4) | aDivisorOf0-{T}(V4,V3)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #24: input, references = 3, size of lhs = 4:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), pppp0-{F}(V3,V4) | aInteger0-{T}(V4)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #25: input, references = 3, size of lhs = 4:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), pppp0-{F}(V3,V0) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #26: input, references = 3, size of lhs = 4:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), pppp0-{F}(V3,V4) | EXISTS V5: pppp1-{T}(V3,V4,V5)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #27: input, references = 4, size of lhs = 7:
% 1.00/1.20 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)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #28: input, references = 3, size of lhs = 3:
% 1.00/1.20 pppp1-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3), V3 == V0 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #29: input, references = 3, size of lhs = 2:
% 1.00/1.20 pppp1-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3) | aInteger0-{T}(V2)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #30: input, references = 3, size of lhs = 10:
% 1.00/1.20 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)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #31: input, references = 4, size of lhs = 10:
% 1.00/1.20 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)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #32: input, references = 9, size of lhs = 5:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xq-{F}(V4) | aInteger0-{T}(V3)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #33: input, references = 17, size of lhs = 5:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xq-{F}(V4) | aInteger0-{T}(V4)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #34: input, references = 4, size of lhs = 5:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xq-{F}(V0) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #35: input, references = 4, size of lhs = 6:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xq-{F}(V4), sdteqdtlpzmzozddtrp0-{F}(V3,V3,V4) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #36: input, references = 4, size of lhs = 0:
% 1.00/1.20 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #37: input, references = 4, size of lhs = 0:
% 1.00/1.20 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #38: input, references = 17, size of lhs = 1:
% 1.00/1.20 #-{F} V0 | EXISTS V1: P_smndt0-{T}(V0,V1)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #39: input, references = 14, size of lhs = 2:
% 1.00/1.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #40: input, references = 9, size of lhs = 2:
% 1.00/1.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #41: input, references = 5, size of lhs = 0:
% 1.00/1.20 FALSE | EXISTS V0: P_xa-{T}(V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #42: input, references = 7, size of lhs = 0:
% 1.00/1.20 FALSE | EXISTS V0: P_xq-{T}(V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 number of initial rules = 43
% 1.00/1.20
% 1.00/1.20 Simplifiers:
% 1.00/1.20 #43: unsound, references = 3, size of lhs = 3:
% 1.00/1.20 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #44: unsound, references = 3, size of lhs = 3:
% 1.00/1.20 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #45: unsound, references = 3, size of lhs = 3:
% 1.00/1.20 P_smndt0-{F}(V0,V1), P_smndt0-{F}(V0,V3), V1 == V3 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #46: unsound, references = 3, size of lhs = 3:
% 1.00/1.20 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #47: unsound, references = 3, size of lhs = 3:
% 1.00/1.20 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #48: unsound, references = 3, size of lhs = 3:
% 1.00/1.20 P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #49: unsound, references = 3, size of lhs = 3:
% 1.00/1.20 P_xq-{F}(V0), P_xq-{F}(V1), V0 == V1 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #50: unsound, references = 3, size of lhs = 3:
% 1.00/1.20 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 number of simplifiers = 8
% 1.00/1.20
% 1.00/1.20 Learnt:
% 1.00/1.20 #57: mergings( V2 == V5, V0 == V6; #53 ), references = 2, size of lhs = 8:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_smndt0-{F}(V0,V4), P_sdtpldt0-{F}(V0,V4,V5), V5 == V2, P_sdtpldt0-{F}(V4,V0,V6) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #60: mergings( V2 == V5, V0 == V6; #54 ), references = 1, size of lhs = 8:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_smndt0-{F}(V0,V4), P_sdtpldt0-{F}(V0,V4,V5), P_sdtpldt0-{F}(V4,V0,V6), V2 == V6 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #65: mergings( V2 == V5, V3 == V6; #61 ), references = 1, size of lhs = 5:
% 1.00/1.20 P_xa-{F}(V0), P_smndt0-{F}(V0,V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | P_sdtpldt0-{T}(V0,V0,V2)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #72: mergings( V2 == V5; #70 ), references = 1, size of lhs = 6:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), V0 == V2, P_sdtasdt0-{F}(V0,V0,V2), P_sz10-{F}(V3) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #81: exists( #39, #7 ), references = 1, size of lhs = 3:
% 1.00/1.20 P_sz00-{F}(V0), aInteger0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #87: exists( #39, #7 ), references = 3, size of lhs = 5:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #89: mergings( V4 == V1; #85 ), references = 3, size of lhs = 4:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2) | P_sdtpldt0-{T}(V0,V2,V2)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #90: exists( #39, #6 ), references = 1, size of lhs = 5:
% 1.00/1.20 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)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #92: exists( #39, #84 ), references = 2, size of lhs = 3:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #106: mergings( V2 == V6, V6 == V8, V0 == V5, V5 == V7, V7 == V9; #99 ), references = 1, size of lhs = 6:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_smndt0-{F}(V1,V2), V1 == V2, P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #112: mergings( V2 == V5; #110 ), references = 1, size of lhs = 6:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), V1 == V2, P_sdtasdt0-{F}(V1,V1,V2), P_sz10-{F}(V3) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #132: mergings( V2 == V0, V0 == V6, V3 == V4, V4 == V5, V5 == V7; #124 ), references = 1, size of lhs = 3:
% 1.00/1.20 aInteger0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_smndt0-{T}(V0,V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #138: exists( #40, #13 ), references = 1, size of lhs = 3:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #139: exists( #40, #17 ), references = 1, size of lhs = 3:
% 1.00/1.20 P_sz00-{F}(V0), aInteger0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #143: exists( #39, #9 ), references = 1, size of lhs = 4:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_smndt0-{F}(V2,V2) | P_sdtpldt0-{T}(V2,V2,V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #149: exists( #40, #13 ), references = 3, size of lhs = 5:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), V3 == V2 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #150: exists( #40, #17 ), references = 2, size of lhs = 5:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #153: exists( #40, #147 ), references = 1, size of lhs = 3:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtasdt0-{T}(V2,V1,V2)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #154: exists( #40, #148 ), references = 2, size of lhs = 3:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #169: mergings( V1 == V5, V5 == V7, V2 == V7, V7 == V6; #162 ), references = 1, size of lhs = 5:
% 1.00/1.20 P_xa-{F}(V0), P_sz10-{F}(V1), V1 == V0, P_sz00-{F}(V1), P_smndt0-{F}(V1,V2) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #187: mergings( V1 == V4, V4 == V6, V2 == V6, V6 == V5; #180 ), references = 1, size of lhs = 3:
% 1.00/1.20 P_sz10-{F}(V0), P_sz00-{F}(V0), P_smndt0-{F}(V0,V1) | P_xa-{T}(V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #213: mergings( V1 == V5, V5 == V7, V2 == V7, V7 == V6, V6 == V4; #205 ), references = 1, size of lhs = 4:
% 1.00/1.20 P_xa-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V0), P_smndt0-{F}(V0,V1) | P_xq-{T}(V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #231: exists( #38, #34 ), references = 2, size of lhs = 4:
% 1.00/1.20 P_sz00-{F}(V0), P_xq-{F}(V0), P_sz10-{F}(V1), P_xa-{F}(V2) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #241: mergings( V2 == V5, V0 == V6; #237 ), references = 1, size of lhs = 8:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_smndt0-{F}(V1,V4), P_sdtpldt0-{F}(V1,V4,V5), V5 == V2, P_sdtpldt0-{F}(V4,V1,V6) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #244: mergings( V2 == V5, V0 == V6; #238 ), references = 1, size of lhs = 8:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_smndt0-{F}(V1,V4), P_sdtpldt0-{F}(V1,V4,V5), P_sdtpldt0-{F}(V4,V1,V6), V2 == V6 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #249: mergings( V2 == V5, V3 == V6; #245 ), references = 1, size of lhs = 5:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_smndt0-{F}(V1,V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | P_sdtpldt0-{T}(V1,V1,V2)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #261: mergings( V2 == V5, V0 == V6; #256 ), references = 1, size of lhs = 6:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_sdtpldt0-{F}(V1,V2,V4), V4 == V1 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #265: mergings( V3 == V1, V4 == V6; #262 ), references = 1, size of lhs = 4:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | P_sdtpldt0-{T}(V1,V2,V1)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #274: mergings( V2 == V5, V0 == V6; #270 ), references = 1, size of lhs = 6:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_sdtasdt0-{F}(V1,V2,V4), V4 == V2 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #277: mergings( V2 == V5, V0 == V6; #271 ), references = 1, size of lhs = 11:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aInteger0-{F}(V4), aInteger0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V1,V6,V7), P_sdtasdt0-{F}(V1,V5,V8), P_sdtasdt0-{F}(V8,V4,V9), V7 == V9 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #281: mergings( V3 == V1, V4 == V6; #278 ), references = 2, size of lhs = 4:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | P_sdtasdt0-{T}(V1,V2,V2)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #291: mergings( V2 == V5, V0 == V6, V7 == V5; #285 ), references = 1, size of lhs = 7:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sdtasdt0-{F}(V1,V2,V2), P_sz10-{F}(V3), P_sdtasdt0-{F}(V2,V1,V4), V2 == V4 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #294: mergings( V2 == V5, V0 == V6; #286 ), references = 1, size of lhs = 8:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aInteger0-{F}(V4), P_sdtasdt0-{F}(V1,V4,V5), P_sdtasdt0-{F}(V4,V1,V6), V5 == V6 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #301: mergings( V2 == V5, V0 == V6, V7 == V13, V8 == V10, V10 == V11, V12 == V15; #287 ), references = 1, size of lhs = 10:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_sdtasdt0-{F}(V1,V1,V4), P_sdtpldt0-{F}(V1,V1,V5), P_sdtasdt0-{F}(V1,V5,V6), P_sdtasdt0-{F}(V5,V1,V7), P_sdtpldt0-{F}(V4,V4,V8), V7 == V8 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #308: mergings( V3 == V0, V4 == V6, V7 == V0; #302 ), references = 1, size of lhs = 5:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sdtasdt0-{F}(V1,V2,V2), P_sz10-{F}(V3) | P_sdtasdt0-{T}(V2,V1,V2)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #311: mergings( V3 == V6, V4 == V7; #303 ), references = 1, size of lhs = 6:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aInteger0-{F}(V4), P_sdtasdt0-{F}(V1,V4,V5) | P_sdtasdt0-{T}(V4,V1,V5)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #321: mergings( V2 == V5, V0 == V6, V7 == V4; #316 ), references = 1, size of lhs = 7:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sdtpldt0-{F}(V1,V2,V1), P_sz10-{F}(V3), P_sdtpldt0-{F}(V2,V1,V4), V1 == V4 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #324: mergings( V2 == V5, V0 == V6; #317 ), references = 1, size of lhs = 8:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aInteger0-{F}(V4), P_sdtpldt0-{F}(V1,V4,V5), P_sdtpldt0-{F}(V4,V1,V6), V5 == V6 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #330: mergings( V3 == V0, V4 == V6, V7 == V1; #325 ), references = 1, size of lhs = 5:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sdtpldt0-{F}(V1,V2,V1), P_sz10-{F}(V3) | P_sdtpldt0-{T}(V2,V1,V1)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #333: mergings( V3 == V6, V4 == V7; #326 ), references = 1, size of lhs = 6:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aInteger0-{F}(V4), P_sdtpldt0-{F}(V1,V4,V5) | P_sdtpldt0-{T}(V4,V1,V5)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #346: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V12, V3 == V10; #340 ), references = 2, size of lhs = 11:
% 1.00/1.20 aInteger0-{F}(V0), aInteger0-{F}(V1), P_xq-{F}(V2), P_sdtasdt0-{F}(V2,V0,V1), aInteger0-{F}(V3), P_xa-{F}(V3), P_smndt0-{F}(V3,V4), P_sdtpldt0-{F}(V3,V4,V1), P_sz00-{F}(V5), V2 == V5, P_sz10-{F}(V6) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #359: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V13, V2 == V5, V5 == V14, V3 == V7, V7 == V11; #348 ), references = 1, size of lhs = 7:
% 1.00/1.20 aInteger0-{F}(V0), P_sz00-{F}(V0), aInteger0-{F}(V1), P_xa-{F}(V1), P_smndt0-{F}(V1,V2), P_sdtpldt0-{F}(V1,V2,V0), P_sz10-{F}(V3) | P_xq-{T}(V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #373: mergings( V0 == V3, V3 == V5, V5 == V8, V8 == V9, V9 == V12, V12 == V7, V1 == V4, V4 == V13, V13 == V14, V2 == V6, V6 == V10, V10 == V15; #360 ), references = 1, size of lhs = 7:
% 1.00/1.20 aInteger0-{F}(V0), P_sz00-{F}(V0), aInteger0-{F}(V1), P_xa-{F}(V1), P_smndt0-{F}(V1,V2), P_sdtpldt0-{F}(V1,V2,V0), P_sz10-{F}(V3) | P_xq-{T}(V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #384: mergings( V2 == V5, V0 == V6; #380 ), references = 1, size of lhs = 6:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_sdtpldt0-{F}(V0,V2,V4), V4 == V0 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #388: mergings( V2 == V9, V0 == V10, V3 == V6; #381 ), references = 2, size of lhs = 10:
% 1.00/1.20 aInteger0-{F}(V0), aInteger0-{F}(V1), P_xq-{F}(V2), P_sdtasdt0-{F}(V2,V0,V1), P_xa-{F}(V3), P_smndt0-{F}(V3,V4), P_sdtpldt0-{F}(V3,V4,V1), P_sz00-{F}(V5), V2 == V5, P_sz10-{F}(V6) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #392: mergings( V3 == V1, V4 == V6; #389 ), references = 1, size of lhs = 4:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | P_sdtpldt0-{T}(V0,V2,V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #394: exists( #39, #57 ), references = 2, size of lhs = 7:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_smndt0-{F}(V0,V4), P_sdtpldt0-{F}(V0,V4,V5), V5 == V2 | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #399: mergings( V4 == V0; #396 ), references = 1, size of lhs = 4:
% 1.00/1.20 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V0) | P_sdtasdt0-{T}(V0,V2,V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #400: exists( #40, #12 ), references = 1, size of lhs = 5:
% 1.00/1.20 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)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #416: exists( #39, #394 ), references = 1, size of lhs = 5:
% 1.00/1.20 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_smndt0-{F}(V0,V4) | P_sdtpldt0-{T}(V0,V4,V2)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #422: mergings( V3 == V7, V4 == V8, V2 == V6; #418 ), references = 2, size of lhs = 8:
% 1.00/1.20 aInteger0-{F}(V0), P_sz00-{F}(V0), aInteger0-{F}(V1), P_xq-{F}(V2), V2 == V0, P_sdtasdt0-{F}(V2,V1,V0), P_xa-{F}(V3), P_sz10-{F}(V4) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #427: mergings( V2 == V5, V1 == V4; #424 ), references = 1, size of lhs = 4:
% 1.00/1.20 P_sz00-{F}(V0), aInteger0-{F}(V0), P_xa-{F}(V1), P_sz10-{F}(V2) | P_xq-{T}(V0)
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #432: mergings( V1 == V3, V3 == V4; #429 ), references = 1, size of lhs = 3:
% 1.00/1.20 aInteger0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #434: exists( #37, #429 ), references = 1, size of lhs = 2:
% 1.00/1.20 aInteger0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 #437: exists( #36, #435 ), references = 1, size of lhs = 0:
% 1.00/1.20 FALSE | FALSE
% 1.00/1.20 (used 0 times, uses = {})
% 1.00/1.20
% 1.00/1.20 number of learnt formulas = 55
% 1.00/1.20
% 1.00/1.20
% 1.00/1.20 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.00/1.20
% 1.00/1.20 randbase = 1
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