TSTP Solution File: RNG082+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG082+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 06:15:03 EDT 2022
% Result : Theorem 9.80s 9.99s
% Output : Refutation 9.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG082+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 07:52:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.80/9.99 GeoParameters:
% 9.80/9.99
% 9.80/9.99 tptp_input = 1
% 9.80/9.99 tptp_output = 0
% 9.80/9.99 nonempty = 1
% 9.80/9.99 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.80/9.99 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 9.80/9.99
% 9.80/9.99
% 9.80/9.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.80/9.99 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.80/9.99
% 9.80/9.99 RuleSystem INPUT:
% 9.80/9.99
% 9.80/9.99 Initial Rules:
% 9.80/9.99 #0: input, references = 4, size of lhs = 1:
% 9.80/9.99 P_sz00-{F}(V0) | aElement0-{T}(V0)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #1: input, references = 4, size of lhs = 2:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1) | aElement0-{T}(V1)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #2: input, references = 10, size of lhs = 4:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V2,V3), aElement0-{F}(V2) | aElement0-{T}(V3)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #3: input, references = 5, size of lhs = 5:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V3) | aElement0-{T}(V4)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #4: input, references = 10, size of lhs = 5:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aElement0-{F}(V3) | aElement0-{T}(V4)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #5: input, references = 5, size of lhs = 7:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), P_sdtpldt0-{F}(V2,V3,V5), aElement0-{F}(V3), V4 == V5 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #6: input, references = 9, size of lhs = 10:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V3), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V6,V2,V7), P_sdtpldt0-{F}(V5,V4,V8), aElement0-{F}(V5), V7 == V8 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #7: input, references = 4, size of lhs = 6:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aElement0-{F}(V2), V3 == V2 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #8: input, references = 4, size of lhs = 6:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aElement0-{F}(V2), V2 == V4 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #9: input, references = 7, size of lhs = 7:
% 9.80/9.99 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), aElement0-{F}(V2), V4 == V0 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #10: input, references = 3, size of lhs = 7:
% 9.80/9.99 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), aElement0-{F}(V2), V0 == V5 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #11: input, references = 4, size of lhs = 7:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V5), aElement0-{F}(V3), V4 == V5 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #12: input, references = 3, size of lhs = 10:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aElement0-{F}(V3), P_sdtasdt0-{F}(V5,V3,V6), P_sdtasdt0-{F}(V6,V2,V7), P_sdtasdt0-{F}(V5,V4,V8), aElement0-{F}(V5), V7 == V8 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #13: input, references = 5, size of lhs = 6:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aElement0-{F}(V2), V3 == V2 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #14: input, references = 3, size of lhs = 6:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aElement0-{F}(V2), V2 == V4 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #15: input, references = 7, size of lhs = 15:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtasdt0-{F}(V4,V5,V10), P_sdtasdt0-{F}(V3,V5,V11), P_sdtasdt0-{F}(V2,V5,V12), P_sdtpldt0-{F}(V11,V12,V13), aElement0-{F}(V5), V6 == V9 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #16: input, references = 6, size of lhs = 15:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtasdt0-{F}(V4,V5,V10), P_sdtasdt0-{F}(V3,V5,V11), P_sdtasdt0-{F}(V2,V5,V12), P_sdtpldt0-{F}(V11,V12,V13), aElement0-{F}(V5), V10 == V13 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #17: input, references = 5, size of lhs = 3:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xx-{F}(V2) | aElement0-{T}(V2)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #18: input, references = 6, size of lhs = 6:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xx-{F}(V2), P_smndt0-{F}(V1,V3), P_sdtasdt0-{F}(V3,V2,V5), P_smndt0-{F}(V2,V5) | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #19: input, references = 4, size of lhs = 0:
% 9.80/9.99 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #20: input, references = 4, size of lhs = 0:
% 9.80/9.99 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #21: input, references = 10, size of lhs = 1:
% 9.80/9.99 #-{F} V0 | EXISTS V1: P_smndt0-{T}(V0,V1)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #22: input, references = 10, size of lhs = 2:
% 9.80/9.99 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #23: input, references = 11, size of lhs = 2:
% 9.80/9.99 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #24: input, references = 5, size of lhs = 0:
% 9.80/9.99 FALSE | EXISTS V0: P_xx-{T}(V0)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 number of initial rules = 25
% 9.80/9.99
% 9.80/9.99 Simplifiers:
% 9.80/9.99 #25: unsound, references = 3, size of lhs = 3:
% 9.80/9.99 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #26: unsound, references = 3, size of lhs = 3:
% 9.80/9.99 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #27: unsound, references = 3, size of lhs = 3:
% 9.80/9.99 P_smndt0-{F}(V0,V1), P_smndt0-{F}(V0,V3), V1 == V3 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #28: unsound, references = 3, size of lhs = 3:
% 9.80/9.99 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #29: unsound, references = 3, size of lhs = 3:
% 9.80/9.99 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #30: unsound, references = 3, size of lhs = 3:
% 9.80/9.99 P_xx-{F}(V0), P_xx-{F}(V1), V0 == V1 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 number of simplifiers = 6
% 9.80/9.99
% 9.80/9.99 Learnt:
% 9.80/9.99 #33: exists( #22, #9 ), references = 1, size of lhs = 4:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_smndt0-{F}(V2,V2) | P_sdtpldt0-{T}(V2,V2,V0)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #37: exists( #22, #7 ), references = 1, size of lhs = 5:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #38: exists( #22, #5 ), references = 10, size of lhs = 5:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4) | P_sdtpldt0-{T}(V2,V3,V4)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #40: exists( #22, #34 ), references = 16, size of lhs = 3:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #55: mergings( V2 == V0, V0 == V5, V5 == V7, V3 == V4, V4 == V6, V6 == V8; #47 ), references = 1, size of lhs = 3:
% 9.80/9.99 aElement0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_smndt0-{T}(V0,V0)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #61: exists( #23, #13 ), references = 1, size of lhs = 3:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #64: exists( #23, #13 ), references = 2, size of lhs = 5:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), V3 == V2 | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #65: exists( #23, #11 ), references = 13, size of lhs = 5:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4) | P_sdtasdt0-{T}(V2,V3,V4)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #78: mergings( V3 == V5, V4 == V0; #73 ), references = 5, size of lhs = 4:
% 9.80/9.99 aElement0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aElement0-{F}(V2) | P_sdtasdt0-{T}(V0,V2,V2)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #85: exists( #22, #15 ), references = 6, size of lhs = 12:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V3,V5,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtasdt0-{F}(V2,V5,V8), P_sdtasdt0-{F}(V4,V5,V9) | P_sdtpldt0-{T}(V7,V8,V6)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #86: exists( #22, #16 ), references = 1, size of lhs = 12:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V3,V5,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtasdt0-{F}(V2,V5,V8), P_sdtasdt0-{F}(V4,V5,V9) | P_sdtpldt0-{T}(V7,V8,V9)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #101: mergings( V3 == V5, V4 == V6; #97 ), references = 5, size of lhs = 5:
% 9.80/9.99 aElement0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aElement0-{F}(V3), P_smndt0-{F}(V3,V0) | P_sdtpldt0-{T}(V3,V0,V1)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #125: mergings( V2 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V17, V3 == V4, V4 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18; #109 ), references = 1, size of lhs = 6:
% 9.80/9.99 aElement0-{F}(V0), P_sdtpldt0-{F}(V0,V0,V0), P_sz10-{F}(V0), aElement0-{F}(V1), P_sz00-{F}(V1), aElement0-{F}(V2) | P_smndt0-{T}(V2,V1)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #158: mergings( V1 == V4, V4 == V6, V6 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V23, V2 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V22, V22 == V24; #134 ), references = 1, size of lhs = 5:
% 9.80/9.99 aElement0-{F}(V0), P_sdtpldt0-{F}(V0,V0,V0), P_sz10-{F}(V0), aElement0-{F}(V1), P_sz00-{F}(V1) | P_xx-{T}(V1)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #189: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #182 ), references = 1, size of lhs = 9:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtasdt0-{F}(V3,V2,V0), P_sdtasdt0-{F}(V2,V3,V0), P_sdtpldt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V3,V4,V5), P_sdtasdt0-{F}(V4,V3,V6) | P_sdtasdt0-{T}(V3,V3,V5)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #195: mergings( V2 == V5, V5 == V10, V3 == V4, V4 == V6, V6 == V12; #183 ), references = 1, size of lhs = 9:
% 9.80/9.99 aElement0-{F}(V0), aElement0-{F}(V1), P_sdtpldt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3), P_sdtasdt0-{F}(V1,V0,V4), P_sdtasdt0-{F}(V0,V1,V4), P_sz00-{F}(V4), P_sdtasdt0-{F}(V2,V1,V5), P_sz10-{F}(V6) | P_sdtasdt0-{T}(V1,V1,V3)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #202: mergings( V2 == V4, V4 == V6, V6 == V12, V3 == V5, V5 == V7, V7 == V13; #184 ), references = 1, size of lhs = 10:
% 9.80/9.99 aElement0-{F}(V0), P_sz00-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V0), P_sdtasdt0-{F}(V1,V2,V0), P_sdtpldt0-{F}(V1,V2,V3), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V2,V5), P_sz10-{F}(V6) | P_sdtasdt0-{T}(V2,V2,V4)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #213: mergings( V2 == V4, V4 == V5, V5 == V7, V3 == V0, V0 == V6; #207 ), references = 1, size of lhs = 4:
% 9.80/9.99 aElement0-{F}(V0), P_xx-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1) | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #232: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V13 == V12; #222 ), references = 1, size of lhs = 7:
% 9.80/9.99 aElement0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V0), P_sdtpldt0-{F}(V3,V0,V3) | P_smndt0-{T}(V2,V3)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #239: mergings( V3 == V5, V4 == V6; #235 ), references = 4, size of lhs = 13:
% 9.80/9.99 aElement0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aElement0-{F}(V3), aElement0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aElement0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V5,V0,V8)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #242: mergings( V3 == V5, V4 == V6; #236 ), references = 1, size of lhs = 13:
% 9.80/9.99 aElement0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aElement0-{F}(V3), aElement0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aElement0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V5,V0,V11)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #264: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V22, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V23; #253 ), references = 2, size of lhs = 23:
% 9.80/9.99 aElement0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V4), aElement0-{F}(V5), aElement0-{F}(V6), P_sdtasdt0-{F}(V6,V3,V1), P_sdtasdt0-{F}(V6,V2,V0), P_sdtasdt0-{F}(V3,V6,V1), P_sdtasdt0-{F}(V2,V6,V0), P_sdtpldt0-{F}(V6,V5,V7), P_sdtasdt0-{F}(V4,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V5,V4,V9), aElement0-{F}(V9), P_sdtasdt0-{F}(V7,V4,V10), P_sz00-{F}(V11), P_sz10-{F}(V12), aElement0-{F}(V13), P_sdtpldt0-{F}(V9,V13,V11), P_sdtpldt0-{F}(V8,V13,V14) | P_sdtpldt0-{T}(V1,V0,V14)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #286: mergings( V2 == V4, V4 == V14, V14 == V18, V3 == V5, V5 == V15, V15 == V19; #279 ), references = 1, size of lhs = 22:
% 9.80/9.99 aElement0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V0,V1), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V0,V3,V4), aElement0-{F}(V4), P_sdtpldt0-{F}(V3,V2,V5), P_sdtasdt0-{F}(V1,V5,V6), P_sdtasdt0-{F}(V1,V2,V7), P_sdtasdt0-{F}(V2,V1,V7), aElement0-{F}(V7), P_sdtasdt0-{F}(V5,V1,V8), aElement0-{F}(V9), P_sdtpldt0-{F}(V7,V9,V10), P_sz00-{F}(V10), P_sdtpldt0-{F}(V6,V9,V11), P_sz10-{F}(V12), aElement0-{F}(V13), P_sdtpldt0-{F}(V4,V13,V10), P_sdtpldt0-{F}(V11,V13,V14) | P_sdtasdt0-{T}(V3,V3,V14)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #315: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V25, V3 == V0, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V21, V22 == V23, V14 == V25; #294 ), references = 1, size of lhs = 13:
% 9.80/9.99 aElement0-{F}(V0), P_sz10-{F}(V0), P_xx-{F}(V1), P_smndt0-{F}(V1,V1), aElement0-{F}(V1), P_sdtasdt0-{F}(V1,V0,V1), P_sdtasdt0-{F}(V0,V1,V1), P_sz00-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V1,V2,V1), P_sdtasdt0-{F}(V1,V1,V3), P_sdtpldt0-{F}(V3,V2,V4), P_sdtpldt0-{F}(V4,V0,V0) | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #347: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V24, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V25; #334 ), references = 1, size of lhs = 24:
% 9.80/9.99 aElement0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V4), aElement0-{F}(V5), P_sz00-{F}(V5), aElement0-{F}(V6), P_sdtpldt0-{F}(V6,V4,V7), aElement0-{F}(V8), P_sdtasdt0-{F}(V8,V3,V1), P_sdtasdt0-{F}(V8,V2,V0), P_sdtasdt0-{F}(V3,V8,V1), P_sdtasdt0-{F}(V2,V8,V0), P_sdtasdt0-{F}(V8,V7,V9), P_sdtasdt0-{F}(V8,V6,V10), P_sdtasdt0-{F}(V6,V8,V10), aElement0-{F}(V10), P_sdtasdt0-{F}(V7,V8,V11), P_sz10-{F}(V12), aElement0-{F}(V13), P_sdtpldt0-{F}(V13,V10,V5), P_sdtpldt0-{F}(V13,V9,V14) | P_sdtpldt0-{T}(V1,V0,V14)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #374: mergings( V2 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V28, V28 == V30, V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V29, V29 == V31; #353 ), references = 2, size of lhs = 21:
% 9.80/9.99 aElement0-{F}(V0), aElement0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aElement0-{F}(V2), aElement0-{F}(V3), P_sz00-{F}(V3), aElement0-{F}(V4), P_sdtpldt0-{F}(V4,V2,V5), aElement0-{F}(V6), P_sdtasdt0-{F}(V6,V1,V7), P_sdtasdt0-{F}(V1,V6,V7), P_sdtasdt0-{F}(V6,V5,V7), P_sdtasdt0-{F}(V6,V4,V7), P_sdtasdt0-{F}(V4,V6,V7), aElement0-{F}(V7), P_sdtasdt0-{F}(V6,V0,V8), P_sdtasdt0-{F}(V0,V6,V8), aElement0-{F}(V8), P_sdtasdt0-{F}(V5,V6,V9), P_sz10-{F}(V10), P_sdtpldt0-{F}(V3,V8,V11) | P_smndt0-{T}(V7,V11)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #407: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #399 ), references = 1, size of lhs = 10:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V5), P_sdtasdt0-{F}(V5,V2,V0), P_sdtasdt0-{F}(V2,V5,V0), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V4,V5,V7) | P_sdtasdt0-{T}(V5,V3,V6)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #414: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #400 ), references = 1, size of lhs = 10:
% 9.80/9.99 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V5), P_sdtasdt0-{F}(V5,V2,V0), P_sdtasdt0-{F}(V2,V5,V0), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V4,V5,V7) | P_sdtasdt0-{T}(V5,V3,V7)
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #441: mergings( V3 == V5, V5 == V8, V8 == V12, V12 == V17, V4 == V6, V6 == V7, V7 == V9, V9 == V16, V16 == V18; #430 ), references = 1, size of lhs = 18:
% 9.80/9.99 aElement0-{F}(V0), aElement0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), aElement0-{F}(V2), aElement0-{F}(V3), P_sz00-{F}(V3), aElement0-{F}(V4), P_sdtpldt0-{F}(V4,V2,V5), aElement0-{F}(V6), P_sdtasdt0-{F}(V6,V1,V6), P_sdtasdt0-{F}(V1,V6,V6), P_sdtasdt0-{F}(V6,V5,V6), P_sdtasdt0-{F}(V6,V4,V6), P_sdtasdt0-{F}(V4,V6,V6), P_xx-{F}(V6), P_sdtasdt0-{F}(V5,V6,V7), P_sz10-{F}(V8), P_smndt0-{F}(V8,V0) | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #460: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V19, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V0, V0 == V18, V15 == V14, V16 == V17; #444 ), references = 1, size of lhs = 12:
% 9.80/9.99 aElement0-{F}(V0), P_sz10-{F}(V0), aElement0-{F}(V1), P_sz00-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V2), aElement0-{F}(V3), P_sdtasdt0-{F}(V3,V0,V3), P_sdtasdt0-{F}(V0,V3,V3), P_sdtasdt0-{F}(V3,V2,V3), P_xx-{F}(V3), P_sdtasdt0-{F}(V2,V3,V3) | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #483: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V20, V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V19; #464 ), references = 1, size of lhs = 5:
% 9.80/9.99 aElement0-{F}(V0), P_sz10-{F}(V0), aElement0-{F}(V1), P_sdtpldt0-{F}(V0,V1,V0), P_sz00-{F}(V1) | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #497: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #486 ), references = 1, size of lhs = 2:
% 9.80/9.99 aElement0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 #500: exists( #19, #498 ), references = 1, size of lhs = 0:
% 9.80/9.99 FALSE | FALSE
% 9.80/9.99 (used 0 times, uses = {})
% 9.80/9.99
% 9.80/9.99 number of learnt formulas = 33
% 9.80/9.99
% 9.80/9.99
% 9.80/9.99 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.80/9.99
% 9.80/9.99 randbase = 1
%------------------------------------------------------------------------------