TSTP Solution File: NUM423+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM423+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 0.88s 1.06s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : NUM423+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 23:14:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.88/1.06 GeoParameters:
% 0.88/1.06
% 0.88/1.06 tptp_input = 1
% 0.88/1.06 tptp_output = 0
% 0.88/1.06 nonempty = 1
% 0.88/1.06 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.06 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.88/1.06
% 0.88/1.06
% 0.88/1.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.06 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.06
% 0.88/1.06 RuleSystem INPUT:
% 0.88/1.06
% 0.88/1.06 Initial Rules:
% 0.88/1.06 #0: input, references = 4, size of lhs = 1:
% 0.88/1.06 P_sz00-{F}(V0) | aInteger0-{T}(V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #1: input, references = 3, size of lhs = 2:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1) | aInteger0-{T}(V1)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #2: input, references = 4, size of lhs = 4:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V2,V3), aInteger0-{F}(V2) | aInteger0-{T}(V3)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #3: input, references = 3, size of lhs = 5:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aInteger0-{F}(V3) | aInteger0-{T}(V4)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #4: input, references = 3, size of lhs = 5:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aInteger0-{F}(V3) | aInteger0-{T}(V4)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #5: input, references = 5, size of lhs = 10:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #6: input, references = 5, size of lhs = 7:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #7: input, references = 5, size of lhs = 6:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #8: input, references = 5, size of lhs = 6:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #9: input, references = 7, size of lhs = 7:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #10: input, references = 4, size of lhs = 7:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #11: input, references = 4, size of lhs = 10:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #12: input, references = 5, size of lhs = 7:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #13: input, references = 5, size of lhs = 6:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #14: input, references = 3, size of lhs = 6:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #15: input, references = 3, size of lhs = 15:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #16: input, references = 3, size of lhs = 15:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #17: input, references = 5, size of lhs = 6:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #18: input, references = 5, size of lhs = 6:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #19: input, references = 3, size of lhs = 8:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #20: input, references = 3, size of lhs = 8:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #21: input, references = 5, size of lhs = 8:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #22: input, references = 3, size of lhs = 5:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), aDivisorOf0-{F}(V4,V3) | pppp0-{T}(V3,V4)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #23: input, references = 3, size of lhs = 5:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aInteger0-{F}(V3), pppp0-{F}(V3,V4) | aDivisorOf0-{T}(V4,V3)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #24: input, references = 3, size of lhs = 4:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), pppp0-{F}(V3,V4) | aInteger0-{T}(V4)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #25: input, references = 3, size of lhs = 4:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), pppp0-{F}(V3,V0) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #26: input, references = 3, size of lhs = 4:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), pppp0-{F}(V3,V4) | EXISTS V5: pppp1-{T}(V3,V4,V5)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #27: input, references = 3, size of lhs = 7:
% 0.88/1.06 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)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #28: input, references = 3, size of lhs = 3:
% 0.88/1.06 pppp1-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3), V3 == V0 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #29: input, references = 3, size of lhs = 2:
% 0.88/1.06 pppp1-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3) | aInteger0-{T}(V2)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #30: input, references = 3, size of lhs = 10:
% 0.88/1.06 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)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #31: input, references = 3, size of lhs = 10:
% 0.88/1.06 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)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #32: input, references = 17, size of lhs = 5:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xq-{F}(V4) | aInteger0-{T}(V3)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #33: input, references = 7, size of lhs = 5:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xq-{F}(V4) | aInteger0-{T}(V4)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #34: input, references = 3, size of lhs = 5:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xq-{F}(V0) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #35: input, references = 5, size of lhs = 9:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xq-{F}(V4), P_smndt0-{F}(V3,V5), P_sdtpldt0-{F}(V3,V5,V6), P_sdtasdt0-{F}(V4,V7,V6), aInteger0-{F}(V7) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #36: input, references = 3, size of lhs = 8:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xq-{F}(V4), P_smndt0-{F}(V3,V5), P_sdtpldt0-{F}(V3,V5,V6), aDivisorOf0-{F}(V4,V6) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #37: input, references = 3, size of lhs = 8:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xa-{F}(V3), P_xq-{F}(V4), P_smndt0-{F}(V3,V5), P_sdtpldt0-{F}(V3,V5,V6), sdteqdtlpzmzozddtrp0-{F}(V3,V3,V4) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #38: input, references = 4, size of lhs = 0:
% 0.88/1.06 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #39: input, references = 4, size of lhs = 0:
% 0.88/1.06 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #40: input, references = 17, size of lhs = 1:
% 0.88/1.06 #-{F} V0 | EXISTS V1: P_smndt0-{T}(V0,V1)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #41: input, references = 12, size of lhs = 2:
% 0.88/1.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #42: input, references = 9, size of lhs = 2:
% 0.88/1.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #43: input, references = 5, size of lhs = 0:
% 0.88/1.06 FALSE | EXISTS V0: P_xa-{T}(V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #44: input, references = 6, size of lhs = 0:
% 0.88/1.06 FALSE | EXISTS V0: P_xq-{T}(V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 number of initial rules = 45
% 0.88/1.06
% 0.88/1.06 Simplifiers:
% 0.88/1.06 #45: unsound, references = 3, size of lhs = 3:
% 0.88/1.06 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #46: unsound, references = 3, size of lhs = 3:
% 0.88/1.06 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #47: unsound, references = 3, size of lhs = 3:
% 0.88/1.06 P_smndt0-{F}(V0,V1), P_smndt0-{F}(V0,V3), V1 == V3 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #48: unsound, references = 3, size of lhs = 3:
% 0.88/1.06 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #49: unsound, references = 3, size of lhs = 3:
% 0.88/1.06 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #50: unsound, references = 3, size of lhs = 3:
% 0.88/1.06 P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #51: unsound, references = 3, size of lhs = 3:
% 0.88/1.06 P_xq-{F}(V0), P_xq-{F}(V1), V0 == V1 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #52: unsound, references = 3, size of lhs = 3:
% 0.88/1.06 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 number of simplifiers = 8
% 0.88/1.06
% 0.88/1.06 Learnt:
% 0.88/1.06 #61: mergings( V2 == V5, V0 == V6; #56 ), references = 2, size of lhs = 8:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #64: mergings( V2 == V5, V0 == V6; #57 ), references = 1, size of lhs = 8:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #69: mergings( V2 == V5, V3 == V6; #65 ), references = 1, size of lhs = 5:
% 0.88/1.06 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)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #78: mergings( V2 == V5; #75 ), references = 1, size of lhs = 6:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #82: mergings( V2 == V5, V3 == V6, V4 == V7; #76 ), references = 2, size of lhs = 7:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xa-{F}(V2), P_xq-{F}(V3), P_smndt0-{F}(V2,V4), P_sdtpldt0-{F}(V2,V4,V5), P_sdtasdt0-{F}(V3,V2,V5) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #88: exists( #41, #7 ), references = 1, size of lhs = 3:
% 0.88/1.06 P_sz00-{F}(V0), aInteger0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #94: exists( #41, #7 ), references = 2, size of lhs = 5:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #96: mergings( V4 == V1; #92 ), references = 3, size of lhs = 4:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2) | P_sdtpldt0-{T}(V0,V2,V2)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #97: exists( #41, #6 ), references = 1, size of lhs = 5:
% 0.88/1.06 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)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #99: exists( #41, #91 ), references = 2, size of lhs = 3:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #113: mergings( V2 == V6, V6 == V8, V0 == V5, V5 == V7, V7 == V9; #106 ), references = 1, size of lhs = 6:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_smndt0-{F}(V1,V2), V1 == V2, P_sz00-{F}(V2), P_sz10-{F}(V3) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #120: mergings( V2 == V5; #118 ), references = 1, size of lhs = 6:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #140: mergings( V2 == V0, V0 == V6, V3 == V4, V4 == V5, V5 == V7; #132 ), references = 1, size of lhs = 3:
% 0.88/1.06 aInteger0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_smndt0-{T}(V0,V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #146: exists( #42, #13 ), references = 1, size of lhs = 3:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #147: exists( #42, #17 ), references = 1, size of lhs = 3:
% 0.88/1.06 P_sz00-{F}(V0), aInteger0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #151: exists( #41, #9 ), references = 1, size of lhs = 4:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_smndt0-{F}(V2,V2) | P_sdtpldt0-{T}(V2,V2,V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #154: exists( #42, #13 ), references = 2, size of lhs = 5:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), V3 == V2 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #155: exists( #42, #17 ), references = 2, size of lhs = 5:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #158: exists( #42, #152 ), references = 1, size of lhs = 3:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtasdt0-{T}(V2,V1,V2)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #159: exists( #42, #153 ), references = 3, size of lhs = 3:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #174: mergings( V1 == V5, V5 == V7, V2 == V7, V7 == V6; #167 ), references = 1, size of lhs = 5:
% 0.88/1.06 P_xa-{F}(V0), P_sz10-{F}(V1), V1 == V0, P_sz00-{F}(V1), P_smndt0-{F}(V1,V2) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #192: mergings( V1 == V4, V4 == V6, V2 == V6, V6 == V5; #185 ), references = 1, size of lhs = 3:
% 0.88/1.06 P_sz10-{F}(V0), P_sz00-{F}(V0), P_smndt0-{F}(V0,V1) | P_xa-{T}(V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #217: mergings( V1 == V5, V5 == V7, V2 == V6, V6 == V8, V4 == V7; #211 ), references = 2, size of lhs = 6:
% 0.88/1.06 P_xa-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_smndt0-{F}(V0,V3), P_sdtpldt0-{F}(V0,V3,V0) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #222: exists( #40, #217 ), references = 1, size of lhs = 5:
% 0.88/1.06 P_xa-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V0,V2), P_sdtpldt0-{F}(V0,V2,V0) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #234: mergings( V2 == V5, V0 == V6; #229 ), references = 1, size of lhs = 6:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #238: mergings( V3 == V1, V4 == V6; #235 ), references = 1, size of lhs = 4:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | P_sdtpldt0-{T}(V0,V2,V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #247: mergings( V2 == V5, V0 == V6; #243 ), references = 1, size of lhs = 6:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_sdtasdt0-{F}(V0,V2,V4), V4 == V2 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #250: mergings( V2 == V5, V0 == V6; #244 ), references = 1, size of lhs = 11:
% 0.88/1.06 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}(V0,V6,V7), P_sdtasdt0-{F}(V0,V5,V8), P_sdtasdt0-{F}(V8,V4,V9), V7 == V9 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #254: mergings( V3 == V1, V4 == V6; #251 ), references = 1, size of lhs = 4:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3) | P_sdtasdt0-{T}(V0,V2,V2)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #256: exists( #41, #61 ), references = 2, size of lhs = 7:
% 0.88/1.06 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
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #259: mergings( V6 == V2; #257 ), references = 2, size of lhs = 8:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xa-{F}(V2), P_xq-{F}(V3), P_smndt0-{F}(V2,V4), P_sdtpldt0-{F}(V2,V4,V0), aInteger0-{F}(V5), P_sdtasdt0-{F}(V3,V5,V0) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #266: mergings( V4 == V0; #263 ), references = 1, size of lhs = 4:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V0) | P_sdtasdt0-{T}(V0,V2,V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #267: exists( #42, #12 ), references = 1, size of lhs = 5:
% 0.88/1.06 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)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #269: exists( #41, #256 ), references = 1, size of lhs = 5:
% 0.88/1.06 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)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #274: mergings( V3 == V5, V2 == V6; #271 ), references = 2, size of lhs = 6:
% 0.88/1.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xa-{F}(V2), P_xq-{F}(V3), aInteger0-{F}(V4), P_sdtasdt0-{F}(V3,V4,V0) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #284: mergings( V2 == V5, V0 == V6, V7 == V5; #279 ), references = 1, size of lhs = 7:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sdtasdt0-{F}(V0,V2,V2), P_sz10-{F}(V3), P_sdtasdt0-{F}(V2,V0,V4), V2 == V4 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #287: mergings( V2 == V5, V0 == V6; #280 ), references = 1, size of lhs = 8:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aInteger0-{F}(V4), P_sdtasdt0-{F}(V0,V4,V5), P_sdtasdt0-{F}(V4,V0,V6), V5 == V6 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #293: mergings( V3 == V0, V4 == V6, V7 == V0; #288 ), references = 1, size of lhs = 5:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sdtasdt0-{F}(V0,V2,V2), P_sz10-{F}(V3) | P_sdtasdt0-{T}(V2,V0,V2)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #296: mergings( V3 == V6, V4 == V7; #289 ), references = 1, size of lhs = 6:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aInteger0-{F}(V4), P_sdtasdt0-{F}(V0,V4,V5) | P_sdtasdt0-{T}(V4,V0,V5)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #309: mergings( V2 == V5, V0 == V6, V7 == V3; #303 ), references = 1, size of lhs = 7:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sdtpldt0-{F}(V0,V2,V0), P_sz10-{F}(V3), P_sdtpldt0-{F}(V2,V0,V4), V0 == V4 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #312: mergings( V2 == V5, V0 == V6; #304 ), references = 1, size of lhs = 8:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aInteger0-{F}(V4), P_sdtpldt0-{F}(V0,V4,V5), P_sdtpldt0-{F}(V4,V0,V6), V5 == V6 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #316: mergings( V2 == V5, V0 == V6, V7 == V9; #305 ), references = 1, size of lhs = 8:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_sdtpldt0-{F}(V0,V0,V4), P_sdtpldt0-{F}(V0,V4,V5), P_sdtpldt0-{F}(V4,V0,V6), V5 == V6 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #323: mergings( V3 == V0, V4 == V6, V7 == V1; #317 ), references = 1, size of lhs = 5:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sdtpldt0-{F}(V0,V2,V0), P_sz10-{F}(V3) | P_sdtpldt0-{T}(V2,V0,V0)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #326: mergings( V3 == V6, V4 == V7; #318 ), references = 1, size of lhs = 6:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aInteger0-{F}(V4), P_sdtpldt0-{F}(V0,V4,V5) | P_sdtpldt0-{T}(V4,V0,V5)
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #334: mergings( V2 == V5, V0 == V6; #331 ), references = 1, size of lhs = 10:
% 0.88/1.06 P_xa-{F}(V0), P_xq-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aInteger0-{F}(V4), P_sdtpldt0-{F}(V0,V4,V5), P_sdtpldt0-{F}(V0,V5,V6), P_sdtpldt0-{F}(V0,V0,V7), P_sdtpldt0-{F}(V7,V4,V8), V6 == V8 | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #356: mergings( V2 == V6, V0 == V4, V4 == V7, V3 == V8; #349 ), references = 1, size of lhs = 5:
% 0.88/1.06 P_xq-{F}(V0), P_sz00-{F}(V1), aInteger0-{F}(V1), P_sz10-{F}(V2), P_xa-{F}(V3) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #362: mergings( V1 == V5, V2 == V4, V4 == V6, V3 == V7; #357 ), references = 1, size of lhs = 4:
% 0.88/1.06 P_sz00-{F}(V0), aInteger0-{F}(V0), P_sz10-{F}(V1), P_xa-{F}(V2) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #367: mergings( V1 == V4, V2 == V3, V3 == V5; #363 ), references = 1, size of lhs = 3:
% 0.88/1.06 P_sz00-{F}(V0), aInteger0-{F}(V0), P_sz10-{F}(V1) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #370: mergings( V1 == V2; #368 ), references = 1, size of lhs = 2:
% 0.88/1.06 P_sz00-{F}(V0), aInteger0-{F}(V0) | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 #373: exists( #38, #371 ), references = 1, size of lhs = 0:
% 0.88/1.06 FALSE | FALSE
% 0.88/1.06 (used 0 times, uses = {})
% 0.88/1.06
% 0.88/1.06 number of learnt formulas = 50
% 0.88/1.06
% 0.88/1.06
% 0.88/1.06 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.06
% 0.88/1.06 randbase = 1
%------------------------------------------------------------------------------