TSTP Solution File: NUN059+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUN059+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 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 06:13:40 EDT 2022
% Result : Theorem 105.65s 105.86s
% Output : Refutation 105.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUN059+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.11/0.12 % 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 08:44:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 105.65/105.86 GeoParameters:
% 105.65/105.86
% 105.65/105.86 tptp_input = 1
% 105.65/105.86 tptp_output = 0
% 105.65/105.86 nonempty = 1
% 105.65/105.86 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 105.65/105.86 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 105.65/105.86
% 105.65/105.86
% 105.65/105.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 105.65/105.86 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 105.65/105.86
% 105.65/105.86 RuleSystem INPUT:
% 105.65/105.86
% 105.65/105.86 Initial Rules:
% 105.65/105.86 #0: input, references = 4, size of lhs = 0:
% 105.65/105.86 FALSE | EXISTS V0: pppp0-{T}(V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #1: input, references = 7, size of lhs = 2:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V0) | r1-{T}(V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #2: input, references = 39, size of lhs = 2:
% 105.65/105.86 pppp0-{F}(V0), r1-{F}(V1) | id-{T}(V1,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3: input, references = 3, size of lhs = 1:
% 105.65/105.86 #-{F} V0 | EXISTS V1: pppp1-{T}(V1,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #4: input, references = 7, size of lhs = 2:
% 105.65/105.86 pppp1-{F}(V0,V1), id-{F}(V2,V0) | r2-{T}(V1,V2)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #5: input, references = 3, size of lhs = 2:
% 105.65/105.86 pppp1-{F}(V0,V1), r2-{F}(V1,V2) | id-{T}(V2,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #6: input, references = 5, size of lhs = 2:
% 105.65/105.86 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V2,V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #7: input, references = 4, size of lhs = 2:
% 105.65/105.86 pppp2-{F}(V0,V1,V2), id-{F}(V3,V0) | r3-{T}(V1,V2,V3)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #8: input, references = 44, size of lhs = 2:
% 105.65/105.86 pppp2-{F}(V0,V1,V2), r3-{F}(V1,V2,V3) | id-{T}(V3,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #9: input, references = 4, size of lhs = 2:
% 105.65/105.86 #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #10: input, references = 13, size of lhs = 2:
% 105.65/105.86 pppp3-{F}(V0,V1,V2), id-{F}(V3,V0) | r4-{T}(V1,V2,V3)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #11: input, references = 29, size of lhs = 2:
% 105.65/105.86 pppp3-{F}(V0,V1,V2), r4-{F}(V1,V2,V3) | id-{T}(V3,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #12: input, references = 15, size of lhs = 1:
% 105.65/105.86 #-{F} V0 | id-{T}(V0,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #13: input, references = 26, size of lhs = 1:
% 105.65/105.86 id-{F}(V0,V1) | id-{T}(V1,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #14: input, references = 8, size of lhs = 2:
% 105.65/105.86 id-{F}(V0,V1), id-{F}(V2,V0) | id-{T}(V2,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #15: input, references = 3, size of lhs = 2:
% 105.65/105.86 id-{F}(V0,V1), r1-{F}(V0) | r1-{T}(V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #16: input, references = 12, size of lhs = 2:
% 105.65/105.86 id-{F}(V0,V1), r1-{F}(V1) | r1-{T}(V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #17: input, references = 7, size of lhs = 3:
% 105.65/105.86 id-{F}(V0,V1), id-{F}(V3,V2), r2-{F}(V3,V0) | r2-{T}(V2,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #18: input, references = 3, size of lhs = 3:
% 105.65/105.86 id-{F}(V0,V1), id-{F}(V3,V2), r2-{F}(V2,V1) | r2-{T}(V3,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #19: input, references = 52, size of lhs = 4:
% 105.65/105.86 id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r3-{F}(V5,V3,V0) | r3-{T}(V4,V2,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #20: input, references = 3, size of lhs = 4:
% 105.65/105.86 id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r3-{F}(V4,V2,V1) | r3-{T}(V5,V3,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #21: input, references = 16, size of lhs = 4:
% 105.65/105.86 id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r4-{F}(V5,V3,V0) | r4-{T}(V4,V2,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #22: input, references = 6, size of lhs = 4:
% 105.65/105.86 id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r4-{F}(V4,V2,V1) | r4-{T}(V5,V3,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #23: input, references = 3, size of lhs = 2:
% 105.65/105.86 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V2,V1,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #24: input, references = 10, size of lhs = 1:
% 105.65/105.86 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #25: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V3,V0,V1,V2)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #26: input, references = 8, size of lhs = 1:
% 105.65/105.86 pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #27: input, references = 15, size of lhs = 1:
% 105.65/105.86 pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #28: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V2,V4,V3)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #29: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp5-{F}(V0,V1,V2,V3) | id-{T}(V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #30: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V3,V2,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #31: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V1,V2)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #32: input, references = 3, size of lhs = 2:
% 105.65/105.86 #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V2,V1,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #33: input, references = 12, size of lhs = 1:
% 105.65/105.86 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #34: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V3,V0,V1,V2)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #35: input, references = 23, size of lhs = 1:
% 105.65/105.86 pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #36: input, references = 23, size of lhs = 1:
% 105.65/105.86 pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V2,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #37: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V2,V4,V3)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #38: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp9-{F}(V0,V1,V2,V3) | id-{T}(V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #39: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V3,V2,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #40: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V1,V2)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #41: input, references = 10, size of lhs = 3:
% 105.65/105.86 id-{F}(V3,V2), r2-{F}(V0,V3), r2-{F}(V1,V2) | id-{T}(V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #42: input, references = 5, size of lhs = 1:
% 105.65/105.86 #-{F} V0 | EXISTS V1: pppp13-{T}(V1,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #43: input, references = 15, size of lhs = 1:
% 105.65/105.86 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #44: input, references = 5, size of lhs = 1:
% 105.65/105.86 pppp13-{F}(V0,V1) | id-{T}(V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #45: input, references = 23, size of lhs = 1:
% 105.65/105.86 pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V2,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #46: input, references = 23, size of lhs = 1:
% 105.65/105.86 pppp12-{F}(V0,V1,V2) | r1-{T}(V2)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #47: input, references = 5, size of lhs = 1:
% 105.65/105.86 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #48: input, references = 8, size of lhs = 1:
% 105.65/105.86 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #49: input, references = 6, size of lhs = 1:
% 105.65/105.86 pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #50: input, references = 12, size of lhs = 1:
% 105.65/105.86 pppp15-{F}(V0,V1) | r1-{T}(V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #51: input, references = 12, size of lhs = 1:
% 105.65/105.86 pppp15-{F}(V0,V1) | id-{T}(V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #52: input, references = 11, size of lhs = 1:
% 105.65/105.86 pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #53: input, references = 11, size of lhs = 1:
% 105.65/105.86 pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #54: input, references = 3, size of lhs = 1:
% 105.65/105.86 #-{F} V0 | pppp20-{T}(V0), pppp21-{T}(V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #55: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp20-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #56: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp21-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #57: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #58: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp19-{F}(V0,V1) | id-{T}(V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #59: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #60: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp17-{F}(V0,V1) | r1-{T}(V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #61: input, references = 3, size of lhs = 1:
% 105.65/105.86 pppp17-{F}(V0,V1) | id-{T}(V0,V1)
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #62: input, references = 10, size of lhs = 3:
% 105.65/105.86 id-{F}(V1,V0), r1-{F}(V1), r2-{F}(V2,V0) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #63: input, references = 10, size of lhs = 5:
% 105.65/105.86 r4-{F}(V2,V2,V1), r3-{F}(V3,V1,V0), r4-{F}(V4,V4,V3), id-{F}(V0,V5), r4-{F}(V6,V6,V5) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 number of initial rules = 64
% 105.65/105.86
% 105.65/105.86 Simplifiers:
% 105.65/105.86 #64: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #65: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #66: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #67: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #68: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #69: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #70: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #71: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #72: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #73: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #74: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #75: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #76: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #77: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #78: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #79: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V1,V2), V0 == V3 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #80: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #81: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V0 == V3 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #82: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #83: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #84: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #85: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #86: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #87: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #88: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #89: unsound, references = 3, size of lhs = 3:
% 105.65/105.86 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 number of simplifiers = 26
% 105.65/105.86
% 105.65/105.86 Learnt:
% 105.65/105.86 #101: exists( #43, #99 ), references = 4, size of lhs = 9:
% 105.65/105.86 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), id-{F}(V1,V4), pppp2-{F}(V5,V3,V0), r4-{F}(V6,V6,V5), r4-{F}(V7,V7,V8), r3-{F}(V9,V8,V4), r4-{F}(V10,V10,V9) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #117: exists( #43, #115 ), references = 3, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), r1-{F}(V1), pppp2-{F}(V1,V2,V0), id-{F}(V3,V2), pppp13-{F}(V4,V3), id-{F}(V4,V5), r2-{F}(V6,V5) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #134: exists( #48, #130 ), references = 4, size of lhs = 3:
% 105.65/105.86 pppp16-{F}(V0,V1), id-{F}(V1,V2), r2-{F}(V3,V2) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #135: exists( #48, #131 ), references = 1, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), pppp16-{F}(V1,V2), pppp2-{F}(V2,V3,V0), id-{F}(V4,V3), pppp13-{F}(V5,V4), id-{F}(V5,V6), r2-{F}(V7,V6) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #185: exists( #24, #183 ), references = 3, size of lhs = 10:
% 105.65/105.86 pppp0-{F}(V0), r2-{F}(V1,V2), id-{F}(V2,V3), pppp13-{F}(V1,V4), id-{F}(V4,V5), pppp2-{F}(V6,V5,V0), r4-{F}(V7,V7,V6), r4-{F}(V8,V8,V9), pppp7-{F}(V3,V9,V10), r4-{F}(V11,V11,V10) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #206: mergings( V3 == V4; #204 ), references = 3, size of lhs = 14:
% 105.65/105.86 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), pppp2-{F}(V4,V3,V0), id-{F}(V1,V5), pppp3-{F}(V5,V6,V6), pppp2-{F}(V4,V7,V0), id-{F}(V8,V7), pppp13-{F}(V9,V8), r2-{F}(V9,V10), id-{F}(V10,V11), r4-{F}(V12,V12,V13), pppp7-{F}(V11,V13,V14), r4-{F}(V15,V15,V14) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #208: exists( #6, #204 ), references = 3, size of lhs = 12:
% 105.65/105.86 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), id-{F}(V1,V4), pppp3-{F}(V4,V5,V5), id-{F}(V6,V3), pppp13-{F}(V7,V6), r2-{F}(V7,V8), id-{F}(V8,V9), r4-{F}(V10,V10,V11), pppp7-{F}(V9,V11,V12), r4-{F}(V13,V13,V12) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #264: exists( #49, #258 ), references = 3, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), pppp16-{F}(V1,V2), id-{F}(V1,V3), id-{F}(V2,V4), pppp16-{F}(V5,V4), pppp3-{F}(V6,V3,V0), r2-{F}(V7,V6) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #265: exists( #49, #259 ), references = 3, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), r1-{F}(V1), id-{F}(V2,V1), pppp16-{F}(V3,V2), id-{F}(V3,V4), pppp3-{F}(V5,V4,V0), r2-{F}(V6,V5) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #266: exists( #49, #260 ), references = 3, size of lhs = 9:
% 105.65/105.86 pppp0-{F}(V0), pppp16-{F}(V1,V2), id-{F}(V1,V3), id-{F}(V2,V4), pppp3-{F}(V5,V3,V0), r4-{F}(V6,V6,V5), r4-{F}(V7,V7,V8), r3-{F}(V9,V8,V4), r4-{F}(V10,V10,V9) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #273: exists( #9, #271 ), references = 4, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V0), pppp16-{F}(V1,V2), id-{F}(V2,V3), r4-{F}(V4,V4,V5), r3-{F}(V6,V5,V3), r4-{F}(V7,V7,V6) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #345: mergings( V3 == V4; #341 ), references = 3, size of lhs = 15:
% 105.65/105.86 pppp0-{F}(V0), r4-{F}(V1,V1,V1), id-{F}(V2,V1), pppp13-{F}(V2,V3), id-{F}(V3,V4), pppp2-{F}(V5,V4,V0), pppp1-{F}(V5,V6), id-{F}(V7,V1), r2-{F}(V8,V7), pppp13-{F}(V8,V9), id-{F}(V9,V10), pppp2-{F}(V5,V10,V0), r4-{F}(V11,V11,V12), r3-{F}(V13,V12,V6), r4-{F}(V14,V14,V13) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #347: mergings( V3 == V4; #342 ), references = 2, size of lhs = 13:
% 105.65/105.86 pppp0-{F}(V0), pppp1-{F}(V1,V0), id-{F}(V0,V2), pppp16-{F}(V3,V2), r2-{F}(V3,V4), id-{F}(V4,V5), id-{F}(V6,V5), pppp13-{F}(V6,V7), id-{F}(V7,V8), pppp2-{F}(V1,V8,V0), r4-{F}(V9,V9,V10), pppp2-{F}(V0,V11,V10), r4-{F}(V12,V12,V11) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #424: exists( #24, #418 ), references = 2, size of lhs = 3:
% 105.65/105.86 pppp16-{F}(V0,V1), id-{F}(V1,V2), pppp7-{F}(V2,V3,V4) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #425: exists( #24, #419 ), references = 3, size of lhs = 3:
% 105.65/105.86 r1-{F}(V0), id-{F}(V0,V1), pppp7-{F}(V1,V2,V3) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #426: exists( #24, #420 ), references = 1, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), r1-{F}(V1), pppp2-{F}(V1,V2,V0), id-{F}(V3,V2), pppp13-{F}(V4,V3), id-{F}(V4,V5), pppp7-{F}(V5,V6,V7) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #474: mergings( V3 == V4; #470 ), references = 1, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V0), pppp16-{F}(V1,V2), pppp16-{F}(V3,V2), r4-{F}(V4,V4,V5), r3-{F}(V6,V5,V0), r4-{F}(V7,V7,V6) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #477: mergings( V2 == V3; #475 ), references = 3, size of lhs = 5:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V0), r4-{F}(V2,V2,V3), r3-{F}(V4,V3,V0), r4-{F}(V5,V5,V4) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #545: exists( #24, #543 ), references = 1, size of lhs = 18:
% 105.65/105.86 pppp0-{F}(V0), r4-{F}(V1,V1,V1), id-{F}(V2,V1), pppp13-{F}(V2,V3), id-{F}(V3,V4), pppp2-{F}(V5,V4,V0), pppp1-{F}(V5,V6), pppp2-{F}(V5,V7,V0), id-{F}(V8,V7), pppp13-{F}(V9,V8), pppp1-{F}(V10,V9), r2-{F}(V10,V11), id-{F}(V11,V12), r4-{F}(V13,V13,V14), r3-{F}(V15,V14,V6), r4-{F}(V16,V16,V15), pppp7-{F}(V12,V17,V18), pppp2-{F}(V1,V18,V17) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #605: exists( #24, #603 ), references = 3, size of lhs = 6:
% 105.65/105.86 r1-{F}(V0), r2-{F}(V1,V1), r2-{F}(V1,V2), id-{F}(V2,V3), pppp7-{F}(V3,V4,V5), pppp2-{F}(V0,V5,V4) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #629: exists( #43, #627 ), references = 3, size of lhs = 10:
% 105.65/105.86 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V2,V2), r2-{F}(V2,V3), id-{F}(V4,V3), pppp13-{F}(V4,V5), id-{F}(V5,V6), pppp2-{F}(V7,V6,V0), pppp7-{F}(V7,V8,V9), pppp2-{F}(V1,V9,V8) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #666: mergings( V3 == V4; #662 ), references = 1, size of lhs = 13:
% 105.65/105.86 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), pppp2-{F}(V4,V3,V0), id-{F}(V1,V5), r2-{F}(V6,V5), pppp13-{F}(V6,V7), id-{F}(V7,V8), pppp2-{F}(V9,V8,V0), r4-{F}(V10,V10,V9), r4-{F}(V11,V11,V12), pppp7-{F}(V4,V12,V13), r4-{F}(V14,V14,V13) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #668: mergings( V3 == V4; #663 ), references = 1, size of lhs = 14:
% 105.65/105.86 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), pppp2-{F}(V4,V3,V0), pppp3-{F}(V4,V5,V5), id-{F}(V1,V6), r2-{F}(V7,V6), pppp13-{F}(V6,V8), id-{F}(V8,V9), pppp13-{F}(V7,V10), id-{F}(V10,V9), r4-{F}(V11,V11,V12), pppp7-{F}(V4,V12,V13), r4-{F}(V14,V14,V13) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #670: mergings( V3 == V4; #664 ), references = 1, size of lhs = 16:
% 105.65/105.86 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), pppp2-{F}(V4,V3,V0), pppp3-{F}(V4,V5,V5), id-{F}(V1,V6), r2-{F}(V7,V6), pppp13-{F}(V6,V8), id-{F}(V8,V9), pppp2-{F}(V10,V9,V0), pppp13-{F}(V7,V11), id-{F}(V11,V12), pppp2-{F}(V10,V12,V0), r4-{F}(V13,V13,V14), pppp7-{F}(V4,V14,V15), r4-{F}(V16,V16,V15) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #704: exists( #43, #700 ), references = 3, size of lhs = 9:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V1), pppp3-{F}(V1,V2,V2), pppp13-{F}(V3,V4), id-{F}(V3,V4), id-{F}(V4,V5), pppp2-{F}(V6,V5,V0), r4-{F}(V7,V7,V6), r4-{F}(V8,V8,V6) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #706: mergings( V3 == V4; #703 ), references = 3, size of lhs = 14:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V1), pppp3-{F}(V1,V2,V2), pppp13-{F}(V3,V4), id-{F}(V3,V4), id-{F}(V4,V5), id-{F}(V3,V6), id-{F}(V7,V6), pppp13-{F}(V7,V8), id-{F}(V8,V9), pppp2-{F}(V10,V5,V0), r4-{F}(V11,V11,V10), pppp2-{F}(V12,V9,V0), r4-{F}(V13,V13,V12) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #800: exists( #43, #794 ), references = 3, size of lhs = 8:
% 105.65/105.86 pppp0-{F}(V0), r4-{F}(V1,V1,V0), pppp13-{F}(V2,V3), id-{F}(V3,V4), r4-{F}(V5,V5,V4), id-{F}(V2,V6), id-{F}(V6,V7), r4-{F}(V8,V8,V7) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #802: mergings( V3 == V4; #798 ), references = 3, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V0), r4-{F}(V2,V2,V0), id-{F}(V3,V0), pppp13-{F}(V3,V4), id-{F}(V4,V5), r4-{F}(V6,V6,V5) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #865: exists( #48, #861 ), references = 1, size of lhs = 9:
% 105.65/105.86 pppp0-{F}(V0), pppp16-{F}(V1,V2), pppp3-{F}(V2,V3,V3), pppp13-{F}(V4,V5), id-{F}(V4,V5), id-{F}(V5,V6), pppp2-{F}(V7,V6,V0), r4-{F}(V8,V8,V7), r4-{F}(V9,V9,V7) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #866: exists( #48, #862 ), references = 1, size of lhs = 14:
% 105.65/105.86 pppp0-{F}(V0), pppp16-{F}(V1,V2), pppp3-{F}(V2,V3,V3), pppp13-{F}(V4,V5), id-{F}(V4,V5), id-{F}(V5,V6), id-{F}(V4,V7), id-{F}(V8,V7), pppp13-{F}(V8,V9), id-{F}(V9,V10), pppp2-{F}(V11,V6,V0), r4-{F}(V12,V12,V11), pppp2-{F}(V13,V10,V0), r4-{F}(V14,V14,V13) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #942: exists( #48, #936 ), references = 1, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V0), id-{F}(V2,V0), pppp13-{F}(V2,V3), id-{F}(V3,V0), pppp16-{F}(V4,V5), pppp3-{F}(V5,V6,V6) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #943: exists( #48, #937 ), references = 1, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V0), pppp13-{F}(V2,V1), id-{F}(V2,V3), id-{F}(V3,V0), pppp16-{F}(V4,V5), pppp3-{F}(V5,V6,V6) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #944: exists( #48, #938 ), references = 1, size of lhs = 5:
% 105.65/105.86 pppp0-{F}(V0), r3-{F}(V0,V0,V0), pppp16-{F}(V1,V2), pppp3-{F}(V2,V3,V3), r4-{F}(V4,V4,V2) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #950: exists( #42, #945 ), references = 1, size of lhs = 4:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0), pppp16-{F}(V1,V2), pppp3-{F}(V2,V3,V3) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #1020: exists( #43, #1014 ), references = 2, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), r3-{F}(V1,V1,V0), id-{F}(V2,V1), pppp13-{F}(V2,V3), id-{F}(V3,V4), pppp2-{F}(V5,V4,V0), pppp3-{F}(V5,V6,V6) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #1022: mergings( V3 == V4; #1018 ), references = 1, size of lhs = 17:
% 105.65/105.86 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), pppp2-{F}(V4,V3,V0), id-{F}(V1,V5), pppp3-{F}(V4,V5,V5), id-{F}(V6,V5), pppp13-{F}(V6,V7), id-{F}(V7,V8), pppp2-{F}(V9,V8,V0), pppp1-{F}(V9,V10), r3-{F}(V5,V5,V10), id-{F}(V11,V5), r2-{F}(V12,V11), pppp13-{F}(V12,V13), id-{F}(V13,V14), pppp2-{F}(V9,V14,V0) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #1024: mergings( V3 == V4; #1019 ), references = 1, size of lhs = 16:
% 105.65/105.86 pppp0-{F}(V0), pppp1-{F}(V1,V0), id-{F}(V0,V2), pppp16-{F}(V3,V2), r2-{F}(V3,V4), id-{F}(V4,V5), id-{F}(V6,V5), pppp13-{F}(V6,V7), id-{F}(V7,V8), pppp2-{F}(V1,V8,V0), pppp2-{F}(V0,V9,V9), id-{F}(V10,V9), pppp13-{F}(V10,V11), id-{F}(V11,V12), pppp2-{F}(V13,V12,V0), pppp3-{F}(V13,V14,V14) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #1138: exists( #24, #1134 ), references = 1, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), pppp16-{F}(V1,V2), id-{F}(V1,V3), id-{F}(V2,V4), pppp16-{F}(V5,V4), pppp3-{F}(V6,V3,V0), pppp7-{F}(V6,V7,V8) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #1139: exists( #24, #1135 ), references = 1, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), r1-{F}(V1), id-{F}(V2,V1), pppp16-{F}(V3,V2), id-{F}(V3,V4), pppp3-{F}(V5,V4,V0), pppp7-{F}(V5,V6,V7) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #1527: exists( #49, #1521 ), references = 3, size of lhs = 8:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0), pppp16-{F}(V0,V1), id-{F}(V0,V1), id-{F}(V2,V0), pppp13-{F}(V2,V3), id-{F}(V3,V4), id-{F}(V1,V4) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #1529: mergings( V0 == V3; #1525 ), references = 3, size of lhs = 9:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0), pppp16-{F}(V0,V1), id-{F}(V0,V1), id-{F}(V1,V2), id-{F}(V3,V0), id-{F}(V4,V3), pppp13-{F}(V4,V5), id-{F}(V5,V2) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #1530: exists( #49, #1523 ), references = 2, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0), pppp16-{F}(V0,V1), id-{F}(V1,V2), r3-{F}(V2,V2,V3), id-{F}(V3,V4), id-{F}(V4,V1) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #1877: exists( #33, #1871 ), references = 3, size of lhs = 7:
% 105.65/105.86 pppp16-{F}(V0,V1), id-{F}(V2,V1), r2-{F}(V3,V4), pppp2-{F}(V4,V5,V6), id-{F}(V7,V6), pppp3-{F}(V5,V7,V8), pppp11-{F}(V2,V8,V7) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #1878: exists( #33, #1872 ), references = 2, size of lhs = 7:
% 105.65/105.86 r1-{F}(V0), id-{F}(V1,V0), r2-{F}(V2,V3), pppp2-{F}(V3,V4,V5), id-{F}(V6,V5), pppp3-{F}(V4,V6,V7), pppp11-{F}(V1,V7,V6) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #1879: exists( #33, #1873 ), references = 1, size of lhs = 14:
% 105.65/105.86 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V2,V2), r2-{F}(V2,V3), pppp2-{F}(V3,V4,V5), id-{F}(V6,V5), pppp3-{F}(V4,V6,V7), pppp11-{F}(V8,V7,V6), id-{F}(V8,V9), pppp13-{F}(V9,V10), id-{F}(V10,V11), pppp2-{F}(V12,V11,V0), pppp7-{F}(V12,V13,V14), pppp2-{F}(V1,V14,V13) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #2111: exists( #6, #2109 ), references = 3, size of lhs = 7:
% 105.65/105.86 pppp16-{F}(V0,V1), id-{F}(V2,V1), pppp1-{F}(V3,V4), r3-{F}(V5,V6,V3), id-{F}(V7,V6), pppp3-{F}(V5,V7,V8), pppp11-{F}(V2,V8,V7) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #2303: exists( #33, #2297 ), references = 1, size of lhs = 11:
% 105.65/105.86 pppp16-{F}(V0,V1), id-{F}(V2,V1), r2-{F}(V3,V4), pppp2-{F}(V4,V5,V6), id-{F}(V7,V6), pppp3-{F}(V5,V7,V8), pppp11-{F}(V9,V8,V7), pppp2-{F}(V9,V10,V11), id-{F}(V12,V11), pppp3-{F}(V10,V12,V13), pppp11-{F}(V2,V13,V12) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #2304: exists( #33, #2298 ), references = 1, size of lhs = 11:
% 105.65/105.86 pppp16-{F}(V0,V1), id-{F}(V2,V1), pppp11-{F}(V2,V3,V4), id-{F}(V4,V5), pppp3-{F}(V6,V4,V3), pppp2-{F}(V7,V6,V5), pppp1-{F}(V8,V9), r3-{F}(V10,V11,V8), id-{F}(V12,V11), pppp3-{F}(V10,V12,V13), pppp11-{F}(V7,V13,V12) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #2305: exists( #33, #2299 ), references = 1, size of lhs = 11:
% 105.65/105.86 r1-{F}(V0), id-{F}(V1,V0), r2-{F}(V2,V3), pppp2-{F}(V3,V4,V5), id-{F}(V6,V5), pppp3-{F}(V4,V6,V7), pppp11-{F}(V8,V7,V6), pppp2-{F}(V8,V9,V10), id-{F}(V11,V10), pppp3-{F}(V9,V11,V12), pppp11-{F}(V1,V12,V11) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #2465: exists( #33, #2461 ), references = 1, size of lhs = 11:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0), pppp16-{F}(V0,V1), id-{F}(V1,V1), id-{F}(V2,V0), pppp13-{F}(V2,V0), id-{F}(V3,V0), pppp2-{F}(V1,V4,V5), id-{F}(V6,V5), pppp3-{F}(V4,V6,V7), pppp11-{F}(V3,V7,V6) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #2466: exists( #33, #2462 ), references = 1, size of lhs = 12:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0), pppp16-{F}(V0,V1), id-{F}(V1,V1), pppp13-{F}(V2,V0), id-{F}(V2,V3), id-{F}(V3,V0), id-{F}(V4,V0), pppp2-{F}(V1,V5,V6), id-{F}(V7,V6), pppp3-{F}(V5,V7,V8), pppp11-{F}(V4,V8,V7) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #2657: exists( #43, #2651 ), references = 1, size of lhs = 9:
% 105.65/105.86 pppp0-{F}(V0), r1-{F}(V1), id-{F}(V2,V1), id-{F}(V3,V2), pppp13-{F}(V3,V4), id-{F}(V4,V5), id-{F}(V5,V6), pppp2-{F}(V7,V6,V0), pppp7-{F}(V7,V8,V9) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #2658: exists( #43, #2653 ), references = 1, size of lhs = 9:
% 105.65/105.86 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), id-{F}(V3,V4), pppp2-{F}(V5,V4,V0), id-{F}(V1,V6), id-{F}(V6,V7), pppp16-{F}(V8,V7), pppp7-{F}(V5,V9,V10) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #2736: mergings( V3 == V4; #2733 ), references = 2, size of lhs = 17:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0), pppp16-{F}(V0,V1), id-{F}(V2,V0), pppp13-{F}(V2,V3), id-{F}(V3,V4), id-{F}(V4,V5), id-{F}(V5,V0), id-{F}(V0,V6), id-{F}(V6,V7), id-{F}(V8,V4), pppp16-{F}(V9,V8), id-{F}(V9,V10), pppp3-{F}(V1,V10,V0), id-{F}(V10,V11), id-{F}(V11,V12), pppp3-{F}(V1,V12,V7) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #2738: mergings( V3 == V4; #2734 ), references = 2, size of lhs = 17:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0), pppp16-{F}(V0,V1), id-{F}(V1,V1), pppp13-{F}(V2,V0), id-{F}(V2,V3), id-{F}(V3,V0), id-{F}(V0,V4), id-{F}(V4,V5), id-{F}(V6,V0), id-{F}(V7,V6), id-{F}(V8,V7), pppp16-{F}(V9,V8), id-{F}(V9,V10), id-{F}(V10,V11), id-{F}(V11,V12), pppp3-{F}(V1,V12,V5) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3055: mergings( V3 == V4; #3053 ), references = 1, size of lhs = 11:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), pppp2-{F}(V4,V3,V0), pppp3-{F}(V4,V5,V5), id-{F}(V6,V0), id-{F}(V7,V6), pppp13-{F}(V7,V8), id-{F}(V8,V9), id-{F}(V9,V0) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3322: exists( #33, #3318 ), references = 1, size of lhs = 17:
% 105.65/105.86 pppp0-{F}(V0), r2-{F}(V1,V2), id-{F}(V1,V3), pppp13-{F}(V3,V4), id-{F}(V4,V5), id-{F}(V2,V6), id-{F}(V7,V5), pppp13-{F}(V8,V7), id-{F}(V9,V8), pppp2-{F}(V10,V2,V11), pppp3-{F}(V10,V12,V12), id-{F}(V13,V11), pppp3-{F}(V2,V13,V14), pppp11-{F}(V9,V14,V13), r4-{F}(V15,V15,V16), pppp7-{F}(V6,V16,V17), r4-{F}(V18,V18,V17) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3323: exists( #33, #3319 ), references = 1, size of lhs = 18:
% 105.65/105.86 pppp0-{F}(V0), pppp3-{F}(V1,V2,V2), pppp2-{F}(V1,V3,V4), id-{F}(V5,V4), pppp3-{F}(V3,V5,V6), pppp11-{F}(V7,V6,V5), id-{F}(V7,V8), pppp13-{F}(V8,V9), id-{F}(V9,V10), pppp2-{F}(V11,V10,V0), pppp2-{F}(V11,V12,V0), id-{F}(V13,V12), pppp13-{F}(V14,V13), r2-{F}(V14,V15), id-{F}(V15,V16), r4-{F}(V17,V17,V18), pppp7-{F}(V16,V18,V19), r4-{F}(V20,V20,V19) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3443: exists( #33, #3439 ), references = 1, size of lhs = 13:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V0), pppp3-{F}(V2,V3,V3), pppp2-{F}(V2,V4,V5), id-{F}(V6,V5), pppp3-{F}(V4,V6,V7), pppp11-{F}(V1,V7,V6), pppp13-{F}(V8,V9), id-{F}(V8,V9), id-{F}(V9,V10), pppp2-{F}(V11,V10,V0), r4-{F}(V12,V12,V11), r4-{F}(V13,V13,V11) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3444: exists( #33, #3440 ), references = 1, size of lhs = 18:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V0), pppp3-{F}(V2,V3,V3), pppp2-{F}(V2,V4,V5), id-{F}(V6,V5), pppp3-{F}(V4,V6,V7), pppp11-{F}(V1,V7,V6), pppp13-{F}(V8,V9), id-{F}(V8,V9), id-{F}(V9,V10), id-{F}(V8,V11), id-{F}(V12,V11), pppp13-{F}(V12,V13), id-{F}(V13,V14), pppp2-{F}(V15,V10,V0), r4-{F}(V16,V16,V15), pppp2-{F}(V17,V14,V0), r4-{F}(V18,V18,V17) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3635: exists( #33, #3631 ), references = 1, size of lhs = 20:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0), pppp16-{F}(V0,V1), id-{F}(V1,V1), pppp13-{F}(V2,V0), id-{F}(V2,V3), id-{F}(V3,V0), id-{F}(V0,V4), id-{F}(V4,V5), id-{F}(V6,V0), id-{F}(V7,V6), pppp3-{F}(V1,V8,V5), id-{F}(V9,V8), pppp16-{F}(V9,V10), id-{F}(V10,V11), id-{F}(V12,V8), pppp2-{F}(V11,V12,V13), id-{F}(V14,V13), pppp3-{F}(V12,V14,V15), pppp11-{F}(V7,V15,V14) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3636: exists( #33, #3632 ), references = 1, size of lhs = 20:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0), pppp16-{F}(V0,V1), id-{F}(V2,V0), pppp13-{F}(V2,V3), id-{F}(V3,V0), id-{F}(V0,V4), id-{F}(V4,V5), id-{F}(V6,V3), pppp3-{F}(V1,V7,V0), id-{F}(V8,V7), pppp16-{F}(V8,V9), id-{F}(V9,V10), id-{F}(V7,V11), id-{F}(V11,V12), pppp3-{F}(V1,V12,V5), pppp2-{F}(V10,V13,V14), id-{F}(V15,V14), pppp3-{F}(V13,V15,V16), pppp11-{F}(V6,V16,V15) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3745: exists( #33, #3741 ), references = 1, size of lhs = 11:
% 105.65/105.86 pppp0-{F}(V0), r2-{F}(V1,V1), r2-{F}(V1,V2), id-{F}(V2,V3), id-{F}(V4,V0), pppp11-{F}(V4,V5,V6), id-{F}(V6,V7), pppp3-{F}(V8,V6,V5), pppp2-{F}(V9,V8,V7), pppp7-{F}(V3,V10,V11), pppp2-{F}(V9,V11,V10) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3747: mergings( V4 == V5; #3744 ), references = 1, size of lhs = 14:
% 105.65/105.86 pppp0-{F}(V0), r2-{F}(V1,V1), r2-{F}(V1,V2), id-{F}(V3,V2), pppp13-{F}(V3,V4), id-{F}(V4,V5), pppp2-{F}(V6,V5,V0), id-{F}(V7,V0), pppp11-{F}(V7,V8,V9), id-{F}(V9,V10), pppp3-{F}(V11,V9,V8), pppp2-{F}(V12,V11,V10), pppp7-{F}(V6,V13,V14), pppp2-{F}(V12,V14,V13) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3979: exists( #33, #3973 ), references = 1, size of lhs = 10:
% 105.65/105.86 r3-{F}(V0,V0,V0), id-{F}(V1,V0), r4-{F}(V2,V2,V3), r4-{F}(V4,V4,V3), id-{F}(V3,V5), r4-{F}(V6,V6,V5), pppp2-{F}(V3,V7,V8), id-{F}(V9,V8), pppp3-{F}(V7,V9,V10), pppp11-{F}(V1,V10,V9) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3980: exists( #33, #3974 ), references = 1, size of lhs = 11:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V0), pppp16-{F}(V1,V2), r3-{F}(V2,V2,V2), id-{F}(V3,V2), r4-{F}(V4,V4,V5), r4-{F}(V6,V6,V5), pppp2-{F}(V5,V7,V8), id-{F}(V9,V8), pppp3-{F}(V7,V9,V10), pppp11-{F}(V3,V10,V9) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #3981: exists( #33, #3975 ), references = 1, size of lhs = 13:
% 105.65/105.86 pppp0-{F}(V0), r3-{F}(V1,V1,V1), pppp16-{F}(V2,V1), id-{F}(V2,V3), id-{F}(V4,V1), pppp3-{F}(V5,V3,V0), r4-{F}(V6,V6,V5), r4-{F}(V7,V7,V8), r4-{F}(V9,V9,V8), pppp2-{F}(V8,V10,V11), id-{F}(V12,V11), pppp3-{F}(V10,V12,V13), pppp11-{F}(V4,V13,V12) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #4266: mergings( V3 == V4, V4 == V5; #4261 ), references = 2, size of lhs = 5:
% 105.65/105.86 pppp0-{F}(V0), r3-{F}(V0,V0,V0), id-{F}(V0,V0), pppp16-{F}(V0,V1), pppp16-{F}(V2,V1) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #4436: exists( #24, #4430 ), references = 1, size of lhs = 8:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V2), pppp3-{F}(V2,V3,V0), id-{F}(V4,V3), pppp16-{F}(V4,V5), id-{F}(V5,V6), pppp16-{F}(V7,V6), pppp7-{F}(V1,V8,V9) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #4437: exists( #24, #4431 ), references = 1, size of lhs = 8:
% 105.65/105.86 pppp0-{F}(V0), r1-{F}(V1), id-{F}(V2,V1), pppp16-{F}(V3,V2), id-{F}(V3,V4), pppp3-{F}(V5,V4,V0), id-{F}(V6,V5), pppp7-{F}(V6,V7,V8) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #4529: exists( #24, #4523 ), references = 1, size of lhs = 6:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V2), r2-{F}(V3,V2), r2-{F}(V4,V3), pppp7-{F}(V1,V5,V6), pppp2-{F}(V0,V6,V5) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #4530: exists( #24, #4524 ), references = 1, size of lhs = 6:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V1,V2), r2-{F}(V3,V2), pppp7-{F}(V3,V4,V5), pppp7-{F}(V1,V6,V7), pppp2-{F}(V0,V7,V6) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #4779: exists( #33, #4777 ), references = 1, size of lhs = 14:
% 105.65/105.86 id-{F}(V0,V1), id-{F}(V2,V3), r3-{F}(V1,V2,V4), id-{F}(V4,V5), pppp1-{F}(V5,V6), id-{F}(V7,V3), pppp3-{F}(V8,V7,V9), pppp11-{F}(V10,V9,V7), id-{F}(V10,V11), pppp16-{F}(V12,V11), pppp2-{F}(V8,V13,V14), id-{F}(V15,V14), pppp3-{F}(V13,V15,V16), pppp11-{F}(V0,V16,V15) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #4958: exists( #43, #4956 ), references = 1, size of lhs = 7:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0), pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), id-{F}(V3,V0), pppp13-{F}(V3,V4), id-{F}(V4,V0) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #4960: exists( #47, #4957 ), references = 1, size of lhs = 5:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0), id-{F}(V1,V0), pppp13-{F}(V1,V2), id-{F}(V2,V0) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #4963: exists( #42, #4961 ), references = 1, size of lhs = 2:
% 105.65/105.86 pppp0-{F}(V0), id-{F}(V0,V0) | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 #4966: exists( #0, #4964 ), references = 1, size of lhs = 0:
% 105.65/105.86 FALSE | FALSE
% 105.65/105.86 (used 0 times, uses = {})
% 105.65/105.86
% 105.65/105.86 number of learnt formulas = 77
% 105.65/105.86
% 105.65/105.86
% 105.65/105.86 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 105.65/105.86
% 105.65/105.86 randbase = 1
%------------------------------------------------------------------------------