TSTP Solution File: NUM421+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM421+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 1.07s 1.23s
% Output : Refutation 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM421+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.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 : Sat Jul 23 00:18:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.07/1.23 GeoParameters:
% 1.07/1.23
% 1.07/1.23 tptp_input = 1
% 1.07/1.23 tptp_output = 0
% 1.07/1.23 nonempty = 1
% 1.07/1.23 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.23 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.07/1.23
% 1.07/1.23
% 1.07/1.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.23 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.23
% 1.07/1.23 RuleSystem INPUT:
% 1.07/1.23
% 1.07/1.23 Initial Rules:
% 1.07/1.23 #0: input, references = 4, size of lhs = 1:
% 1.07/1.23 P_sz00-{F}(V0) | aInteger0-{T}(V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #1: input, references = 4, size of lhs = 2:
% 1.07/1.23 P_sz00-{F}(V0), P_sz10-{F}(V1) | aInteger0-{T}(V1)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #2: input, references = 6, size of lhs = 4:
% 1.07/1.23 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V2,V3), aInteger0-{F}(V2) | aInteger0-{T}(V3)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #3: input, references = 3, size of lhs = 5:
% 1.07/1.23 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aInteger0-{F}(V3) | aInteger0-{T}(V4)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #4: input, references = 7, size of lhs = 5:
% 1.07/1.23 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aInteger0-{F}(V3) | aInteger0-{T}(V4)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #5: input, references = 5, size of lhs = 10:
% 1.07/1.23 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
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #6: input, references = 4, size of lhs = 7:
% 1.07/1.23 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
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #7: input, references = 5, size of lhs = 6:
% 1.07/1.23 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
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #8: input, references = 4, size of lhs = 6:
% 1.07/1.23 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
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #9: input, references = 7, size of lhs = 7:
% 1.07/1.23 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
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #10: input, references = 3, size of lhs = 7:
% 1.07/1.23 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
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #11: input, references = 3, size of lhs = 10:
% 1.07/1.23 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
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #12: input, references = 4, size of lhs = 7:
% 1.07/1.23 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
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #13: input, references = 5, size of lhs = 6:
% 1.07/1.23 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
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #14: input, references = 3, size of lhs = 6:
% 1.07/1.23 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
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #15: input, references = 6, size of lhs = 15:
% 1.07/1.23 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
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #16: input, references = 6, size of lhs = 15:
% 1.07/1.23 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
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #17: input, references = 5, size of lhs = 3:
% 1.07/1.23 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xa-{F}(V2) | aInteger0-{T}(V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #18: input, references = 4, size of lhs = 5:
% 1.07/1.23 P_sz00-{F}(V4), P_sz10-{F}(V1), P_xa-{F}(V2), P_sdtasdt0-{F}(V2,V4,V4), P_sdtasdt0-{F}(V4,V2,V4) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #19: input, references = 4, size of lhs = 0:
% 1.07/1.23 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #20: input, references = 4, size of lhs = 0:
% 1.07/1.23 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #21: input, references = 6, size of lhs = 1:
% 1.07/1.23 #-{F} V0 | EXISTS V1: P_smndt0-{T}(V0,V1)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #22: input, references = 8, size of lhs = 2:
% 1.07/1.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #23: input, references = 10, size of lhs = 2:
% 1.07/1.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #24: input, references = 5, size of lhs = 0:
% 1.07/1.23 FALSE | EXISTS V0: P_xa-{T}(V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 number of initial rules = 25
% 1.07/1.23
% 1.07/1.23 Simplifiers:
% 1.07/1.23 #25: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #26: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #27: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 P_smndt0-{F}(V0,V1), P_smndt0-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #28: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #29: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #30: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 number of simplifiers = 6
% 1.07/1.23
% 1.07/1.23 Learnt:
% 1.07/1.23 #33: exists( #22, #9 ), references = 1, size of lhs = 4:
% 1.07/1.23 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_smndt0-{F}(V2,V2) | P_sdtpldt0-{T}(V2,V2,V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #37: exists( #22, #7 ), references = 2, size of lhs = 5:
% 1.07/1.23 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #38: exists( #22, #6 ), references = 6, size of lhs = 5:
% 1.07/1.23 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)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #40: exists( #22, #34 ), references = 7, size of lhs = 3:
% 1.07/1.23 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #55: mergings( V2 == V0, V0 == V5, V5 == V7, V3 == V4, V4 == V6, V6 == V8; #47 ), references = 1, size of lhs = 3:
% 1.07/1.23 aInteger0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_smndt0-{T}(V0,V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #61: exists( #23, #13 ), references = 1, size of lhs = 3:
% 1.07/1.23 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #64: exists( #23, #13 ), references = 2, size of lhs = 5:
% 1.07/1.23 P_sz00-{F}(V0), P_sz10-{F}(V1), aInteger0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), V3 == V2 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #65: exists( #23, #12 ), references = 8, size of lhs = 5:
% 1.07/1.23 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)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #77: mergings( V3 == V5, V4 == V0; #73 ), references = 4, size of lhs = 4:
% 1.07/1.23 aInteger0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aInteger0-{F}(V2) | P_sdtasdt0-{T}(V0,V2,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #86: exists( #22, #15 ), references = 6, size of lhs = 13:
% 1.07/1.23 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}(V6,V3,V10), P_sdtasdt0-{F}(V10,V2,V11), P_sdtpldt0-{F}(V9,V5,V12) | P_sdtpldt0-{T}(V8,V9,V7)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #87: exists( #22, #16 ), references = 3, size of lhs = 13:
% 1.07/1.23 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)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #99: mergings( V3 == V5, V4 == V6; #95 ), references = 2, size of lhs = 5:
% 1.07/1.23 aInteger0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aInteger0-{F}(V3), P_smndt0-{F}(V3,V0) | P_sdtpldt0-{T}(V3,V0,V1)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #123: mergings( V2 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V3 == V4, V4 == V16, V16 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17; #107 ), references = 1, size of lhs = 6:
% 1.07/1.23 aInteger0-{F}(V0), P_sdtpldt0-{F}(V0,V0,V0), P_sdtasdt0-{F}(V0,V0,V0), P_sz00-{F}(V0), P_sz10-{F}(V0), aInteger0-{F}(V1) | P_smndt0-{T}(V1,V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #156: mergings( V1 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V2 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V22, V22 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23; #132 ), references = 1, size of lhs = 5:
% 1.07/1.23 aInteger0-{F}(V0), P_sdtpldt0-{F}(V0,V0,V0), P_sdtasdt0-{F}(V0,V0,V0), P_sz00-{F}(V0), P_sz10-{F}(V0) | P_xa-{T}(V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #173: exists( #23, #15 ), references = 1, size of lhs = 13:
% 1.07/1.23 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)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #174: exists( #23, #16 ), references = 1, size of lhs = 13:
% 1.07/1.23 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)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #192: mergings( V3 == V5, V5 == V11, V4 == V6, V6 == V15; #185 ), references = 1, size of lhs = 12:
% 1.07/1.23 aInteger0-{F}(V0), aInteger0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), P_sdtasdt0-{F}(V1,V0,V3), aInteger0-{F}(V4), P_sdtasdt0-{F}(V4,V2,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sz00-{F}(V6), P_sdtpldt0-{F}(V4,V1,V7), P_sdtasdt0-{F}(V7,V0,V8), P_sdtpldt0-{F}(V6,V3,V9), P_sz10-{F}(V10) | P_sdtasdt0-{T}(V4,V1,V5)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #200: mergings( V3 == V5, V5 == V11, V11 == V15, V4 == V6, V6 == V16, V16 == V24, V12 == V17; #186 ), references = 1, size of lhs = 19:
% 1.07/1.23 aInteger0-{F}(V0), P_sz00-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V0,V4), P_sdtpldt0-{F}(V1,V4,V5), aInteger0-{F}(V6), P_sdtasdt0-{F}(V6,V0,V1), P_sdtasdt0-{F}(V6,V3,V7), P_sdtpldt0-{F}(V6,V2,V8), P_sdtasdt0-{F}(V8,V0,V9), aInteger0-{F}(V10), P_sdtasdt0-{F}(V10,V2,V1), P_sdtasdt0-{F}(V10,V8,V11), P_sdtasdt0-{F}(V10,V6,V12), P_sdtpldt0-{F}(V12,V1,V13), P_sdtpldt0-{F}(V10,V6,V14), P_sdtasdt0-{F}(V14,V2,V15), P_sz10-{F}(V16) | P_sdtasdt0-{T}(V6,V2,V7)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #208: mergings( V3 == V5, V5 == V11, V11 == V15, V4 == V6, V6 == V16, V16 == V24, V12 == V17; #187 ), references = 1, size of lhs = 19:
% 1.07/1.23 aInteger0-{F}(V0), P_sz00-{F}(V1), aInteger0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V0,V4), P_sdtpldt0-{F}(V1,V4,V5), aInteger0-{F}(V6), P_sdtasdt0-{F}(V6,V0,V1), P_sdtasdt0-{F}(V6,V3,V7), P_sdtpldt0-{F}(V6,V2,V8), P_sdtasdt0-{F}(V8,V0,V9), aInteger0-{F}(V10), P_sdtasdt0-{F}(V10,V2,V1), P_sdtasdt0-{F}(V10,V8,V11), P_sdtasdt0-{F}(V10,V6,V12), P_sdtpldt0-{F}(V12,V1,V13), P_sdtpldt0-{F}(V10,V6,V14), P_sdtasdt0-{F}(V14,V2,V15), P_sz10-{F}(V16) | P_sdtasdt0-{T}(V6,V2,V15)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #218: mergings( V3 == V5, V4 == V6; #214 ), references = 1, size of lhs = 12:
% 1.07/1.23 aInteger0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aInteger0-{F}(V3), aInteger0-{F}(V4), P_sdtpldt0-{F}(V3,V4,V0), P_sdtpldt0-{F}(V4,V3,V0), P_sdtasdt0-{F}(V3,V4,V5), P_sdtasdt0-{F}(V4,V3,V6), P_sdtasdt0-{F}(V4,V4,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtpldt0-{F}(V7,V5,V9) | P_sdtasdt0-{T}(V4,V0,V8)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #221: mergings( V3 == V5, V4 == V6; #215 ), references = 1, size of lhs = 12:
% 1.07/1.23 aInteger0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aInteger0-{F}(V3), aInteger0-{F}(V4), P_sdtpldt0-{F}(V3,V4,V0), P_sdtpldt0-{F}(V4,V3,V0), P_sdtasdt0-{F}(V3,V4,V5), P_sdtasdt0-{F}(V4,V3,V6), P_sdtasdt0-{F}(V4,V4,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtpldt0-{F}(V7,V5,V9) | P_sdtasdt0-{T}(V4,V0,V9)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #236: mergings( V3 == V5, V5 == V15, V15 == V17, V4 == V6, V6 == V16, V16 == V18; #229 ), references = 2, size of lhs = 16:
% 1.07/1.23 aInteger0-{F}(V0), aInteger0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), P_sdtasdt0-{F}(V1,V0,V3), aInteger0-{F}(V4), P_sdtasdt0-{F}(V4,V2,V5), P_sdtasdt0-{F}(V4,V0,V6), aInteger0-{F}(V6), P_sdtpldt0-{F}(V4,V1,V7), P_sdtasdt0-{F}(V7,V0,V8), P_sdtpldt0-{F}(V6,V3,V9), P_sz00-{F}(V10), P_sz10-{F}(V11), aInteger0-{F}(V12), P_sdtpldt0-{F}(V6,V12,V10), P_sdtpldt0-{F}(V5,V12,V13) | P_sdtasdt0-{T}(V4,V1,V13)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #256: mergings( V2 == V7, V7 == V9, V3 == V4, V4 == V6, V6 == V8, V8 == V16, V14 == V13, V0 == V15; #247 ), references = 1, size of lhs = 13:
% 1.07/1.23 aInteger0-{F}(V0), aInteger0-{F}(V1), aInteger0-{F}(V2), P_sz00-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V0,V4), P_sdtpldt0-{F}(V1,V4,V5), aInteger0-{F}(V6), P_xa-{F}(V6), P_sdtasdt0-{F}(V6,V3,V1), P_sdtpldt0-{F}(V6,V2,V6), P_sdtasdt0-{F}(V6,V0,V1), P_sz10-{F}(V7) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #275: mergings( V1 == V5, V5 == V6, V6 == V8, V8 == V12, V12 == V14, V2 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V15; #261 ), references = 1, size of lhs = 6:
% 1.07/1.23 aInteger0-{F}(V0), P_sz10-{F}(V0), aInteger0-{F}(V1), P_sz00-{F}(V1), P_sdtpldt0-{F}(V1,V0,V0), P_sdtasdt0-{F}(V1,V0,V1) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #291: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #281 ), references = 1, size of lhs = 2:
% 1.07/1.23 aInteger0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #294: exists( #19, #292 ), references = 1, size of lhs = 0:
% 1.07/1.23 FALSE | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 number of learnt formulas = 26
% 1.07/1.23
% 1.07/1.23
% 1.07/1.23 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.23
% 1.07/1.23 randbase = 1
%------------------------------------------------------------------------------