TSTP Solution File: NUN066+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUN066+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:13:42 EDT 2022
% Result : Theorem 1.96s 2.13s
% Output : Refutation 1.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUN066+2 : TPTP v8.1.0. Released v7.3.0.
% 0.13/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n027.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 09:03:46 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.96/2.13 GeoParameters:
% 1.96/2.13
% 1.96/2.13 tptp_input = 1
% 1.96/2.13 tptp_output = 0
% 1.96/2.13 nonempty = 1
% 1.96/2.13 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.96/2.13 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.96/2.13
% 1.96/2.13
% 1.96/2.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.96/2.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.96/2.13
% 1.96/2.13 RuleSystem INPUT:
% 1.96/2.13
% 1.96/2.13 Initial Rules:
% 1.96/2.13 #0: input, references = 4, size of lhs = 0:
% 1.96/2.13 FALSE | EXISTS V0: pppp0-{T}(V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #1: input, references = 5, size of lhs = 1:
% 1.96/2.13 pppp0-{F}(V0) | r1-{T}(V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #2: input, references = 10, size of lhs = 3:
% 1.96/2.13 pppp0-{F}(V0), r1-{F}(V1), V1 == V0 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #3: input, references = 7, size of lhs = 1:
% 1.96/2.13 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #4: input, references = 7, size of lhs = 1:
% 1.96/2.13 pppp1-{F}(V0,V1) | r2-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #5: input, references = 8, size of lhs = 3:
% 1.96/2.13 pppp1-{F}(V0,V1), r2-{F}(V0,V2), V2 == V1 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #6: input, references = 5, size of lhs = 2:
% 1.96/2.13 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #7: input, references = 3, size of lhs = 1:
% 1.96/2.13 pppp2-{F}(V0,V1,V2) | r3-{T}(V0,V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #8: input, references = 7, size of lhs = 3:
% 1.96/2.13 pppp2-{F}(V0,V1,V2), r3-{F}(V0,V1,V3), V3 == V2 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #9: input, references = 4, size of lhs = 2:
% 1.96/2.13 #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #10: input, references = 3, size of lhs = 1:
% 1.96/2.13 pppp3-{F}(V0,V1,V2) | r4-{T}(V0,V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #11: input, references = 4, size of lhs = 3:
% 1.96/2.13 pppp3-{F}(V0,V1,V2), r4-{F}(V0,V1,V3), V3 == V2 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #12: input, references = 6, size of lhs = 2:
% 1.96/2.13 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V1,V0,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #13: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #14: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #15: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V1,V0,V3)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #16: input, references = 8, size of lhs = 1:
% 1.96/2.13 pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #17: input, references = 4, size of lhs = 2:
% 1.96/2.13 pppp5-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #18: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V4,V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #19: input, references = 6, size of lhs = 1:
% 1.96/2.13 pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #20: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #21: input, references = 3, size of lhs = 2:
% 1.96/2.13 #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V1,V0,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #22: input, references = 3, size of lhs = 1:
% 1.96/2.13 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #23: input, references = 3, size of lhs = 1:
% 1.96/2.13 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V3,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #24: input, references = 3, size of lhs = 1:
% 1.96/2.13 pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V1,V0,V3)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #25: input, references = 3, size of lhs = 1:
% 1.96/2.13 pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #26: input, references = 3, size of lhs = 2:
% 1.96/2.13 pppp9-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #27: input, references = 3, size of lhs = 1:
% 1.96/2.13 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V4,V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #28: input, references = 3, size of lhs = 1:
% 1.96/2.13 pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #29: input, references = 3, size of lhs = 1:
% 1.96/2.13 pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #30: input, references = 7, size of lhs = 3:
% 1.96/2.13 r2-{F}(V0,V2), r2-{F}(V1,V2), V0 == V1 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #31: input, references = 4, size of lhs = 1:
% 1.96/2.13 #-{F} V0 | EXISTS V1: pppp13-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #32: input, references = 4, size of lhs = 2:
% 1.96/2.13 pppp13-{F}(V0,V1), V1 == V0 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #33: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #34: input, references = 5, size of lhs = 1:
% 1.96/2.13 pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V0,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #35: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp12-{F}(V0,V1,V2) | r1-{T}(V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #36: input, references = 4, size of lhs = 1:
% 1.96/2.13 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #37: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #38: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #39: input, references = 4, size of lhs = 2:
% 1.96/2.13 pppp15-{F}(V0,V1), V0 == V1 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #40: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp15-{F}(V0,V1) | r1-{T}(V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #41: input, references = 3, size of lhs = 1:
% 1.96/2.13 pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #42: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #43: input, references = 4, size of lhs = 1:
% 1.96/2.13 #-{F} V0 | pppp24-{T}(V0), pppp25-{T}(V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #44: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp24-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #45: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp25-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #46: input, references = 5, size of lhs = 1:
% 1.96/2.13 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #47: input, references = 4, size of lhs = 2:
% 1.96/2.13 pppp19-{F}(V0,V1), V0 == V1 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #48: input, references = 6, size of lhs = 1:
% 1.96/2.13 pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #49: input, references = 4, size of lhs = 2:
% 1.96/2.13 pppp17-{F}(V0,V1), V1 == V0 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #50: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp17-{F}(V0,V1) | r1-{T}(V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #51: input, references = 8, size of lhs = 2:
% 1.96/2.13 r1-{F}(V0), r2-{F}(V2,V0) | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #52: input, references = 5, size of lhs = 1:
% 1.96/2.13 #-{F} V0 | pppp26-{T}(V0), pppp27-{T}(V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #53: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp26-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #54: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp27-{F}(V0) | EXISTS V1: pppp23-{T}(V1,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #55: input, references = 4, size of lhs = 2:
% 1.96/2.13 pppp23-{F}(V0,V1), V1 == V0 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #56: input, references = 6, size of lhs = 1:
% 1.96/2.13 pppp23-{F}(V0,V1) | r1-{T}(V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #57: input, references = 4, size of lhs = 2:
% 1.96/2.13 pppp22-{F}(V0,V1), V1 == V0 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #58: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp22-{F}(V0,V1) | EXISTS V2: pppp21-{T}(V2,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #59: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp21-{F}(V0,V1) | r2-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #60: input, references = 4, size of lhs = 1:
% 1.96/2.13 pppp21-{F}(V0,V1) | EXISTS V2: pppp20-{T}(V2,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #61: input, references = 6, size of lhs = 1:
% 1.96/2.13 pppp20-{F}(V0,V1) | r2-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #62: input, references = 6, size of lhs = 1:
% 1.96/2.13 pppp20-{F}(V0,V1) | r1-{T}(V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 number of initial rules = 63
% 1.96/2.13
% 1.96/2.13 Simplifiers:
% 1.96/2.13 #63: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #64: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #65: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #66: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #67: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #68: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #69: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #70: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #71: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #72: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #73: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #74: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #75: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #76: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #77: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #78: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #79: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #80: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V2 == V5 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #81: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #82: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #83: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #84: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #85: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #86: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #87: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #88: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #89: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #90: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #91: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #92: unsound, references = 3, size of lhs = 3:
% 1.96/2.13 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 number of simplifiers = 30
% 1.96/2.13
% 1.96/2.13 Learnt:
% 1.96/2.13 #94: exists( #31, #32 ), references = 2, size of lhs = 1:
% 1.96/2.13 #-{F} V0 | pppp13-{T}(V0,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #98: exists( #33, #95 ), references = 2, size of lhs = 2:
% 1.96/2.13 pppp0-{F}(V0), pppp13-{F}(V1,V2) | pppp12-{T}(V0,V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #101: exists( #6, #8 ), references = 4, size of lhs = 1:
% 1.96/2.13 r3-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #106: exists( #44, #49 ), references = 1, size of lhs = 1:
% 1.96/2.13 pppp24-{F}(V0) | pppp17-{T}(V0,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #110: disj( #43, #105+#50+#2 ), references = 1, size of lhs = 3:
% 1.96/2.13 pppp0-{F}(V0), #-{F} V1, V1 == V0 | pppp25-{T}(V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #115: exists( #45, #47 ), references = 2, size of lhs = 1:
% 1.96/2.13 pppp25-{F}(V0) | pppp19-{T}(V0,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #120: exists( #46, #117 ), references = 1, size of lhs = 2:
% 1.96/2.13 pppp19-{F}(V0,V1), r2-{F}(V2,V1) | pppp18-{T}(V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #123: exists( #53, #57 ), references = 5, size of lhs = 1:
% 1.96/2.13 pppp26-{F}(V0) | pppp22-{T}(V0,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #127: exists( #58, #125 ), references = 5, size of lhs = 2:
% 1.96/2.13 r2-{F}(V0,V1), pppp22-{F}(V1,V2) | pppp21-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #134: exists( #60, #131 ), references = 3, size of lhs = 2:
% 1.96/2.13 r2-{F}(V0,V1), pppp21-{F}(V1,V2) | pppp20-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #135: exists( #60, #130 ), references = 3, size of lhs = 2:
% 1.96/2.13 pppp0-{F}(V0), pppp21-{F}(V1,V2) | pppp20-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #161: exists( #37, #39 ), references = 1, size of lhs = 1:
% 1.96/2.13 pppp16-{F}(V0,V1) | pppp15-{T}(V1,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #165: exists( #36, #163 ), references = 1, size of lhs = 2:
% 1.96/2.13 pppp0-{F}(V0), #-{F} V1 | pppp16-{T}(V1,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #171: exists( #38, #167 ), references = 1, size of lhs = 2:
% 1.96/2.13 pppp0-{F}(V0), pppp16-{F}(V1,V2) | pppp14-{T}(V0,V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #176: exists( #9, #11 ), references = 1, size of lhs = 1:
% 1.96/2.13 r4-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #199: exists( #13, #196 ), references = 5, size of lhs = 2:
% 1.96/2.13 pppp7-{F}(V0,V1,V2), pppp2-{F}(V1,V0,V3) | pppp6-{T}(V0,V1,V2,V3)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #200: exists( #13, #195 ), references = 1, size of lhs = 2:
% 1.96/2.13 r2-{F}(V0,V1), pppp7-{F}(V2,V3,V1) | pppp6-{T}(V2,V3,V1,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #236: exists( #12, #233 ), references = 3, size of lhs = 2:
% 1.96/2.13 pppp1-{F}(V0,V1), pppp2-{F}(V2,V3,V0) | pppp7-{T}(V3,V2,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #263: disj( #52, #123+#127+#135+#61+#5 ), references = 2, size of lhs = 4:
% 1.96/2.13 pppp0-{F}(V0), pppp1-{F}(V0,V1), r2-{F}(V2,V3), V2 == V1 | pppp27-{T}(V3)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #264: disj( #52, #123+#127+#134+#62+#51 ), references = 1, size of lhs = 3:
% 1.96/2.13 r2-{F}(V0,V1), r2-{F}(V1,V2), r2-{F}(V2,V3) | pppp27-{T}(V3)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #265: disj( #52, #123+#127+#134+#62+#2 ), references = 2, size of lhs = 4:
% 1.96/2.13 pppp0-{F}(V0), r2-{F}(V1,V2), V1 == V0, r2-{F}(V2,V3) | pppp27-{T}(V3)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #274: exists( #3, #5 ), references = 4, size of lhs = 1:
% 1.96/2.13 r2-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #280: exists( #14, #17 ), references = 3, size of lhs = 1:
% 1.96/2.13 pppp7-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2,V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #302: exists( #18, #299 ), references = 4, size of lhs = 2:
% 1.96/2.13 pppp1-{F}(V0,V1), pppp5-{F}(V0,V2,V3,V4) | pppp4-{T}(V0,V1,V2,V3)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #314: exists( #46, #312 ), references = 1, size of lhs = 4:
% 1.96/2.13 pppp0-{F}(V0), pppp1-{F}(V0,V1), pppp19-{F}(V2,V3), pppp22-{F}(V3,V4) | pppp18-{T}(V3,V1)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #326: exists( #3, #324 ), references = 1, size of lhs = 7:
% 1.96/2.13 pppp0-{F}(V0), pppp19-{F}(V1,V2), pppp22-{F}(V2,V3), pppp2-{F}(V4,V2,V5), pppp5-{F}(V0,V4,V6,V7), pppp1-{F}(V6,V8), V8 == V5 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #331: exists( #12, #329 ), references = 2, size of lhs = 6:
% 1.96/2.13 pppp0-{F}(V0), pppp19-{F}(V1,V2), pppp22-{F}(V2,V3), pppp2-{F}(V4,V2,V5), pppp5-{F}(V0,V4,V6,V7), pppp2-{F}(V8,V9,V6) | pppp7-{T}(V9,V8,V5)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #378: exists( #12, #376 ), references = 1, size of lhs = 4:
% 1.96/2.13 pppp1-{F}(V0,V1), pppp2-{F}(V2,V0,V3), pppp2-{F}(V2,V1,V4), pppp2-{F}(V5,V6,V3) | pppp7-{T}(V6,V5,V4)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #407: exists( #54, #55 ), references = 3, size of lhs = 1:
% 1.96/2.13 pppp27-{F}(V0) | pppp23-{T}(V0,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #424: mergings( V3 == V4, V8 == V11; #420 ), references = 1, size of lhs = 7:
% 1.96/2.13 pppp0-{F}(V0), pppp19-{F}(V1,V2), pppp22-{F}(V2,V3), r2-{F}(V4,V5), V4 == V0, pppp2-{F}(V6,V7,V5), pppp5-{F}(V0,V8,V5,V9) | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #435: mergings( V2 == V3, V3 == V4; #432 ), references = 1, size of lhs = 5:
% 1.96/2.13 pppp0-{F}(V0), pppp2-{F}(V1,V0,V2), V2 == V0, pppp19-{F}(V3,V4), pppp22-{F}(V4,V5) | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #440: mergings( V1 == V2, V2 == V3; #437 ), references = 1, size of lhs = 4:
% 1.96/2.13 pppp0-{F}(V0), pppp19-{F}(V1,V2), pppp2-{F}(V3,V0,V4), V4 == V0 | pppp27-{T}(V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #450: exists( #0, #448 ), references = 1, size of lhs = 2:
% 1.96/2.13 pppp13-{F}(V0,V1), #-{F} V2 | pppp0-{T}(V1), pppp0-{T}(V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #461: exists( #3, #457 ), references = 2, size of lhs = 1:
% 1.96/2.13 pppp0-{F}(V0) | pppp1-{T}(V0,V0)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #466: disj( #449, #1+#459+#4+#51 ), references = 1, size of lhs = 2:
% 1.96/2.13 pppp13-{F}(V0,V1), #-{F} V2 | pppp0-{T}(V2)
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 #472: #93+#465+#1+#461+#4+#51, references = 1, size of lhs = 1:
% 1.96/2.13 #-{F} V0 | FALSE
% 1.96/2.13 (used 0 times, uses = {})
% 1.96/2.13
% 1.96/2.13 number of learnt formulas = 36
% 1.96/2.13
% 1.96/2.13
% 1.96/2.13 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.96/2.13
% 1.96/2.13 randbase = 1
%------------------------------------------------------------------------------