TSTP Solution File: NUM422+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM422+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 1.22s 1.41s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM422+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 23:54:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.22/1.41 GeoParameters:
% 1.22/1.41
% 1.22/1.41 tptp_input = 1
% 1.22/1.41 tptp_output = 0
% 1.22/1.41 nonempty = 1
% 1.22/1.41 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.22/1.41 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.22/1.41
% 1.22/1.41
% 1.22/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.22/1.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.22/1.41
% 1.22/1.41 RuleSystem INPUT:
% 1.22/1.41
% 1.22/1.41 Initial Rules:
% 1.22/1.41 #0: input, references = 4, size of lhs = 1:
% 1.22/1.41 P_sz00-{F}(V0) | aInteger0-{T}(V0)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #1: input, references = 4, size of lhs = 2:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1) | aInteger0-{T}(V1)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #2: input, references = 7, size of lhs = 4:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V2,V3), aInteger0-{F}(V2) | aInteger0-{T}(V3)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #3: input, references = 4, size of lhs = 5:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aInteger0-{F}(V3) | aInteger0-{T}(V4)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #4: input, references = 4, size of lhs = 5:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aInteger0-{F}(V3) | aInteger0-{T}(V4)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #5: input, references = 6, size of lhs = 10:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #6: input, references = 4, size of lhs = 7:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #7: input, references = 4, size of lhs = 6:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #8: input, references = 3, size of lhs = 6:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #9: input, references = 6, size of lhs = 7:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #10: input, references = 3, size of lhs = 7:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #11: input, references = 3, size of lhs = 10:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #12: input, references = 3, size of lhs = 7:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #13: input, references = 5, size of lhs = 6:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #14: input, references = 4, size of lhs = 6:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #15: input, references = 4, size of lhs = 15:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #16: input, references = 5, size of lhs = 15:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #17: input, references = 6, size of lhs = 6:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #18: input, references = 4, size of lhs = 6:
% 1.22/1.41 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
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #19: input, references = 5, size of lhs = 3:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xa-{F}(V2) | aInteger0-{T}(V2)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #20: input, references = 4, size of lhs = 6:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xa-{F}(V2), P_smndt0-{F}(V1,V3), P_sdtasdt0-{F}(V3,V2,V5), P_smndt0-{F}(V2,V5) | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #21: input, references = 4, size of lhs = 0:
% 1.22/1.41 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #22: input, references = 4, size of lhs = 0:
% 1.22/1.41 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #23: input, references = 7, size of lhs = 1:
% 1.22/1.41 #-{F} V0 | EXISTS V1: P_smndt0-{T}(V0,V1)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #24: input, references = 10, size of lhs = 2:
% 1.22/1.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #25: input, references = 10, size of lhs = 2:
% 1.22/1.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #26: input, references = 5, size of lhs = 0:
% 1.22/1.41 FALSE | EXISTS V0: P_xa-{T}(V0)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 number of initial rules = 27
% 1.22/1.41
% 1.22/1.41 Simplifiers:
% 1.22/1.41 #27: unsound, references = 3, size of lhs = 3:
% 1.22/1.41 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #28: unsound, references = 3, size of lhs = 3:
% 1.22/1.41 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #29: unsound, references = 3, size of lhs = 3:
% 1.22/1.41 P_smndt0-{F}(V0,V1), P_smndt0-{F}(V0,V3), V1 == V3 | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #30: unsound, references = 3, size of lhs = 3:
% 1.22/1.41 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #31: unsound, references = 3, size of lhs = 3:
% 1.22/1.41 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #32: unsound, references = 3, size of lhs = 3:
% 1.22/1.41 P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 number of simplifiers = 6
% 1.22/1.41
% 1.22/1.41 Learnt:
% 1.22/1.41 #35: exists( #24, #9 ), references = 1, size of lhs = 4:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_smndt0-{F}(V2,V2) | P_sdtpldt0-{T}(V2,V2,V0)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #39: exists( #24, #7 ), references = 1, size of lhs = 5:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #40: exists( #24, #6 ), references = 5, size of lhs = 5:
% 1.22/1.41 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)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #42: exists( #24, #36 ), references = 6, size of lhs = 3:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #57: mergings( V2 == V0, V0 == V5, V5 == V7, V3 == V4, V4 == V6, V6 == V8; #49 ), references = 1, size of lhs = 3:
% 1.22/1.41 aInteger0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_smndt0-{T}(V0,V0)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #64: exists( #25, #13 ), references = 1, size of lhs = 3:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #65: exists( #25, #17 ), references = 1, size of lhs = 3:
% 1.22/1.41 P_sz00-{F}(V0), aInteger0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #68: exists( #25, #13 ), references = 2, size of lhs = 5:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), V3 == V2 | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #69: exists( #25, #18 ), references = 6, size of lhs = 4:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3) | P_sdtasdt0-{T}(V0,V2,V0)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #77: exists( #25, #68 ), references = 1, size of lhs = 3:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtasdt0-{T}(V2,V1,V2)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #78: exists( #25, #14 ), references = 3, size of lhs = 5:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V1,V2,V3), V2 == V3 | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #96: mergings( V1 == V3, V3 == V4, V4 == V6, V2 == V6, V6 == V5; #88 ), references = 1, size of lhs = 2:
% 1.22/1.41 P_sz10-{F}(V0), P_sz00-{F}(V0) | P_xa-{T}(V0)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #104: exists( #25, #78 ), references = 4, size of lhs = 3:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtasdt0-{T}(V1,V2,V2)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #105: exists( #25, #17 ), references = 1, size of lhs = 4:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V0,V2,V3) | P_sdtasdt0-{T}(V2,V0,V0)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #112: mergings( V3 == V5, V4 == V6; #108 ), references = 4, size of lhs = 5:
% 1.22/1.41 aInteger0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aInteger0-{F}(V3), P_smndt0-{F}(V3,V0) | P_sdtpldt0-{T}(V0,V3,V1)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #121: mergings( V3 == V4; #117 ), references = 3, size of lhs = 3:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #135: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #128 ), references = 1, size of lhs = 6:
% 1.22/1.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), aInteger0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V0), P_sdtpldt0-{F}(V0,V2,V4) | P_smndt0-{T}(V3,V4)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #137: exists( #24, #5 ), references = 1, size of lhs = 8:
% 1.22/1.41 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)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #140: exists( #25, #15 ), references = 1, size of lhs = 13:
% 1.22/1.41 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,V7), P_sdtasdt0-{F}(V6,V2,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtpldt0-{F}(V6,V3,V10), P_sdtasdt0-{F}(V10,V2,V11), P_sdtpldt0-{F}(V8,V5,V12) | P_sdtasdt0-{T}(V6,V4,V9)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #141: exists( #25, #16 ), references = 1, size of lhs = 13:
% 1.22/1.41 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,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_sdtpldt0-{F}(V9,V5,V12) | P_sdtasdt0-{T}(V11,V2,V12)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #146: exists( #24, #16 ), references = 3, size of lhs = 13:
% 1.22/1.41 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,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-{T}(V9,V5,V12)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #159: mergings( V3 == V5, V5 == V13, V13 == V23, V4 == V6, V6 == V14, V14 == V24, V7 == V15; #151 ), references = 1, size of lhs = 22:
% 1.22/1.41 aInteger0-{F}(V0), aInteger0-{F}(V1), P_sdtasdt0-{F}(V0,V1,V2), aInteger0-{F}(V3), P_sdtpldt0-{F}(V0,V3,V3), P_sdtasdt0-{F}(V0,V3,V4), P_sdtpldt0-{F}(V4,V2,V5), P_sdtpldt0-{F}(V3,V1,V6), P_sdtasdt0-{F}(V0,V6,V7), aInteger0-{F}(V8), P_sdtasdt0-{F}(V8,V6,V9), P_sdtasdt0-{F}(V8,V3,V10), P_sdtasdt0-{F}(V8,V1,V11), aInteger0-{F}(V11), P_sdtpldt0-{F}(V10,V11,V12), P_sdtpldt0-{F}(V8,V3,V13), P_sdtasdt0-{F}(V13,V1,V14), P_sz00-{F}(V15), P_sz10-{F}(V16), aInteger0-{F}(V17), P_sdtpldt0-{F}(V17,V11,V2), P_sdtpldt0-{F}(V17,V14,V18) | P_sdtasdt0-{T}(V3,V1,V18)
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #181: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V21, V21 == V25, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V22, V22 == V26; #165 ), references = 2, size of lhs = 20:
% 1.22/1.41 aInteger0-{F}(V0), P_sz10-{F}(V0), aInteger0-{F}(V1), P_sz00-{F}(V1), P_xa-{F}(V2), P_sdtasdt0-{F}(V0,V2,V2), aInteger0-{F}(V2), P_sdtasdt0-{F}(V1,V2,V3), aInteger0-{F}(V4), P_sdtpldt0-{F}(V1,V4,V4), P_sdtasdt0-{F}(V0,V4,V4), P_smndt0-{F}(V0,V4), P_sdtasdt0-{F}(V1,V4,V5), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V0,V4,V7), P_sdtasdt0-{F}(V7,V2,V8), aInteger0-{F}(V9), P_sdtpldt0-{F}(V9,V2,V3), P_sdtpldt0-{F}(V9,V8,V10), P_smndt0-{F}(V2,V10) | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #209: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V0, V16 == V18; #195 ), references = 1, size of lhs = 13:
% 1.22/1.41 aInteger0-{F}(V0), P_sz10-{F}(V0), aInteger0-{F}(V1), P_sz00-{F}(V1), P_xa-{F}(V2), P_sdtasdt0-{F}(V0,V2,V2), aInteger0-{F}(V2), P_sdtasdt0-{F}(V1,V2,V3), P_sdtpldt0-{F}(V1,V3,V4), aInteger0-{F}(V5), P_sdtpldt0-{F}(V5,V2,V3), P_sdtpldt0-{F}(V5,V3,V6), P_smndt0-{F}(V2,V6) | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #233: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V21, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V20, V22 == V21; #213 ), references = 1, size of lhs = 9:
% 1.22/1.41 aInteger0-{F}(V0), P_sz10-{F}(V0), aInteger0-{F}(V1), P_sz00-{F}(V1), P_sdtpldt0-{F}(V1,V1,V1), P_xa-{F}(V2), P_sdtasdt0-{F}(V0,V2,V2), aInteger0-{F}(V2), P_sdtasdt0-{F}(V1,V2,V1) | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #261: mergings( V1 == V3, V3 == V7, V7 == V11, V11 == V14, V14 == V16, V16 == V20, V20 == V23, V2 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V22, V24 == V23; #238 ), references = 1, size of lhs = 5:
% 1.22/1.41 aInteger0-{F}(V0), P_sz10-{F}(V0), aInteger0-{F}(V1), P_sz00-{F}(V1), P_sdtpldt0-{F}(V1,V1,V1) | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #273: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #264 ), references = 1, size of lhs = 2:
% 1.22/1.41 aInteger0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 #276: exists( #21, #274 ), references = 1, size of lhs = 0:
% 1.22/1.41 FALSE | FALSE
% 1.22/1.41 (used 0 times, uses = {})
% 1.22/1.41
% 1.22/1.41 number of learnt formulas = 28
% 1.22/1.41
% 1.22/1.41
% 1.22/1.41 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.22/1.41
% 1.22/1.41 randbase = 1
%------------------------------------------------------------------------------