TSTP Solution File: NUN085+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUN085+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:13:45 EDT 2022
% Result : Theorem 2.14s 2.36s
% Output : Refutation 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUN085+2 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 09:08:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.14/2.36 GeoParameters:
% 2.14/2.36
% 2.14/2.36 tptp_input = 1
% 2.14/2.36 tptp_output = 0
% 2.14/2.36 nonempty = 1
% 2.14/2.36 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.36 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.14/2.36
% 2.14/2.36
% 2.14/2.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.36
% 2.14/2.36 RuleSystem INPUT:
% 2.14/2.36
% 2.14/2.36 Initial Rules:
% 2.14/2.36 #0: input, references = 4, size of lhs = 0:
% 2.14/2.36 FALSE | EXISTS V0: pppp0-{T}(V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #1: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp0-{F}(V0) | r1-{T}(V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #2: input, references = 10, size of lhs = 3:
% 2.14/2.36 pppp0-{F}(V0), r1-{F}(V1), V1 == V0 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #3: input, references = 5, size of lhs = 1:
% 2.14/2.36 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #4: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp1-{F}(V0,V1) | r2-{T}(V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #5: input, references = 8, size of lhs = 3:
% 2.14/2.36 pppp1-{F}(V0,V1), r2-{F}(V0,V2), V2 == V1 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #6: input, references = 4, size of lhs = 2:
% 2.14/2.36 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #7: input, references = 3, size of lhs = 1:
% 2.14/2.36 pppp2-{F}(V0,V1,V2) | r3-{T}(V0,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #8: input, references = 8, size of lhs = 3:
% 2.14/2.36 pppp2-{F}(V0,V1,V2), r3-{F}(V0,V1,V3), V3 == V2 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #9: input, references = 5, size of lhs = 2:
% 2.14/2.36 #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #10: input, references = 3, size of lhs = 1:
% 2.14/2.36 pppp3-{F}(V0,V1,V2) | r4-{T}(V0,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #11: input, references = 7, size of lhs = 3:
% 2.14/2.36 pppp3-{F}(V0,V1,V2), r4-{F}(V0,V1,V3), V3 == V2 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #12: input, references = 7, size of lhs = 2:
% 2.14/2.36 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V1,V0,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #13: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #14: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #15: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V1,V0,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #16: input, references = 7, size of lhs = 1:
% 2.14/2.36 pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #17: input, references = 4, size of lhs = 2:
% 2.14/2.36 pppp5-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #18: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V4,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #19: input, references = 7, size of lhs = 1:
% 2.14/2.36 pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #20: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #21: input, references = 5, size of lhs = 2:
% 2.14/2.36 #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V1,V0,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #22: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #23: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V3,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #24: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V1,V0,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #25: input, references = 5, size of lhs = 1:
% 2.14/2.36 pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #26: input, references = 4, size of lhs = 2:
% 2.14/2.36 pppp9-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #27: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V4,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #28: input, references = 5, size of lhs = 1:
% 2.14/2.36 pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #29: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #30: input, references = 6, size of lhs = 3:
% 2.14/2.36 r2-{F}(V0,V2), r2-{F}(V1,V2), V0 == V1 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #31: input, references = 4, size of lhs = 1:
% 2.14/2.36 #-{F} V0 | EXISTS V1: pppp13-{T}(V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #32: input, references = 4, size of lhs = 2:
% 2.14/2.36 pppp13-{F}(V0,V1), V1 == V0 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #33: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #34: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V0,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #35: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp12-{F}(V0,V1,V2) | r1-{T}(V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #36: input, references = 4, size of lhs = 1:
% 2.14/2.36 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #37: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #38: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #39: input, references = 4, size of lhs = 2:
% 2.14/2.36 pppp15-{F}(V0,V1), V0 == V1 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #40: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp15-{F}(V0,V1) | r1-{T}(V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #41: input, references = 3, size of lhs = 1:
% 2.14/2.36 pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #42: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #43: input, references = 5, size of lhs = 1:
% 2.14/2.36 #-{F} V0 | pppp25-{T}(V0), pppp26-{T}(V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #44: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp25-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #45: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp26-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #46: input, references = 5, size of lhs = 1:
% 2.14/2.36 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #47: input, references = 4, size of lhs = 2:
% 2.14/2.36 pppp19-{F}(V0,V1), V0 == V1 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #48: input, references = 5, size of lhs = 1:
% 2.14/2.36 pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #49: input, references = 4, size of lhs = 2:
% 2.14/2.36 pppp17-{F}(V0,V1), V1 == V0 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #50: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp17-{F}(V0,V1) | r1-{T}(V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #51: input, references = 7, size of lhs = 2:
% 2.14/2.36 r1-{F}(V0), r2-{F}(V2,V0) | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #52: input, references = 4, size of lhs = 0:
% 2.14/2.36 FALSE | EXISTS V0: pppp24-{T}(V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #53: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp24-{F}(V0) | EXISTS V1: pppp23-{T}(V1,V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #54: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp24-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #55: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp23-{F}(V0,V1) | r1-{T}(V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #56: input, references = 4, size of lhs = 2:
% 2.14/2.36 pppp23-{F}(V0,V1), V1 == V0 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #57: input, references = 5, size of lhs = 1:
% 2.14/2.36 pppp22-{F}(V0,V1) | EXISTS V2: pppp21-{T}(V2,V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #58: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp22-{F}(V0,V1) | EXISTS V2: pppp20-{T}(V2,V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #59: input, references = 6, size of lhs = 1:
% 2.14/2.36 pppp21-{F}(V0,V1) | r2-{T}(V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #60: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp21-{F}(V0,V1) | r1-{T}(V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #61: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp20-{F}(V0,V1,V2) | r3-{T}(V0,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #62: input, references = 4, size of lhs = 1:
% 2.14/2.36 pppp20-{F}(V0,V1,V2) | r1-{T}(V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 number of initial rules = 63
% 2.14/2.36
% 2.14/2.36 Simplifiers:
% 2.14/2.36 #63: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #64: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #65: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #66: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #67: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #68: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #69: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #70: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #71: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #72: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #73: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #74: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #75: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #76: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #77: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #78: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #79: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #80: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V2 == V5 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #81: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #82: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #83: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #84: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #85: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #86: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #87: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #88: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #89: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #90: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V2), V1 == V4 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #91: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #92: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #93: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #94: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp22-{F}(V0,V1), pppp22-{F}(V2,V3), V1 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #95: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #96: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V1 == V3 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #97: unsound, references = 3, size of lhs = 3:
% 2.14/2.36 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 number of simplifiers = 35
% 2.14/2.36
% 2.14/2.36 Learnt:
% 2.14/2.36 #102: exists( #44, #99 ), references = 1, size of lhs = 2:
% 2.14/2.36 pppp25-{F}(V0), pppp0-{F}(V1) | pppp17-{T}(V1,V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #105: disj( #43, #101+#49 ), references = 1, size of lhs = 3:
% 2.14/2.36 pppp0-{F}(V0), #-{F} V1, V1 == V0 | pppp26-{T}(V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #108: exists( #31, #32 ), references = 2, size of lhs = 1:
% 2.14/2.36 #-{F} V0 | pppp13-{T}(V0,V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #112: exists( #33, #109 ), references = 2, size of lhs = 2:
% 2.14/2.36 pppp0-{F}(V0), pppp13-{F}(V1,V2) | pppp12-{T}(V0,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #115: exists( #45, #47 ), references = 2, size of lhs = 1:
% 2.14/2.36 pppp26-{F}(V0) | pppp19-{T}(V0,V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #120: exists( #6, #8 ), references = 6, size of lhs = 1:
% 2.14/2.36 r3-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #124: exists( #46, #122 ), references = 1, size of lhs = 2:
% 2.14/2.36 pppp19-{F}(V0,V1), r2-{F}(V2,V1) | pppp18-{T}(V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #129: exists( #53, #126 ), references = 1, size of lhs = 2:
% 2.14/2.36 pppp24-{F}(V0), pppp0-{F}(V1) | pppp23-{T}(V1,V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #132: exists( #52, #130 ), references = 1, size of lhs = 1:
% 2.14/2.36 pppp0-{F}(V0) | pppp24-{T}(V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #138: exists( #37, #39 ), references = 1, size of lhs = 1:
% 2.14/2.36 pppp16-{F}(V0,V1) | pppp15-{T}(V1,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #144: exists( #36, #142 ), references = 1, size of lhs = 2:
% 2.14/2.36 pppp0-{F}(V0), #-{F} V1 | pppp16-{T}(V1,V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #151: exists( #13, #146 ), references = 2, size of lhs = 2:
% 2.14/2.36 r1-{F}(V0), pppp7-{F}(V1,V2,V0) | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #152: exists( #13, #148 ), references = 4, size of lhs = 2:
% 2.14/2.36 pppp7-{F}(V0,V1,V2), pppp2-{F}(V1,V0,V3) | pppp6-{T}(V0,V1,V2,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #154: exists( #3, #5 ), references = 2, size of lhs = 1:
% 2.14/2.36 r2-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #158: exists( #38, #155 ), references = 1, size of lhs = 2:
% 2.14/2.36 pppp0-{F}(V0), pppp16-{F}(V1,V2) | pppp14-{T}(V0,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #161: exists( #9, #11 ), references = 1, size of lhs = 1:
% 2.14/2.36 r4-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #165: exists( #12, #163 ), references = 3, size of lhs = 2:
% 2.14/2.36 pppp1-{F}(V0,V1), pppp2-{F}(V2,V3,V0) | pppp7-{T}(V3,V2,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #169: exists( #14, #17 ), references = 5, size of lhs = 1:
% 2.14/2.36 pppp7-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #174: exists( #18, #172 ), references = 5, size of lhs = 2:
% 2.14/2.36 pppp1-{F}(V0,V1), pppp5-{F}(V0,V2,V3,V4) | pppp4-{T}(V0,V1,V2,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #181: exists( #23, #26 ), references = 3, size of lhs = 1:
% 2.14/2.36 pppp11-{F}(V0,V1,V2) | pppp9-{T}(V0,V1,V2,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #190: exists( #12, #188 ), references = 2, size of lhs = 2:
% 2.14/2.36 pppp1-{F}(V0,V1), pppp2-{F}(V2,V1,V3) | pppp7-{T}(V0,V2,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #198: exists( #22, #196 ), references = 3, size of lhs = 2:
% 2.14/2.36 pppp11-{F}(V0,V1,V2), pppp3-{F}(V1,V0,V3) | pppp10-{T}(V0,V1,V2,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #207: exists( #21, #205 ), references = 2, size of lhs = 2:
% 2.14/2.36 pppp3-{F}(V0,V1,V2), pppp2-{F}(V2,V0,V3) | pppp11-{T}(V1,V0,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #213: exists( #46, #211 ), references = 1, size of lhs = 2:
% 2.14/2.36 r1-{F}(V0), pppp19-{F}(V1,V0) | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #216: disj( #43, #115+#212 ), references = 1, size of lhs = 1:
% 2.14/2.36 r1-{F}(V0) | pppp25-{T}(V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #223: exists( #27, #221 ), references = 3, size of lhs = 2:
% 2.14/2.36 pppp1-{F}(V0,V1), pppp9-{F}(V0,V2,V3,V4) | pppp8-{T}(V0,V1,V2,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #254: exists( #12, #252 ), references = 1, size of lhs = 6:
% 2.14/2.36 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), pppp3-{F}(V1,V2,V4), pppp2-{F}(V4,V0,V5), pppp3-{F}(V1,V3,V6), pppp2-{F}(V7,V8,V5) | pppp7-{T}(V8,V7,V6)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #269: exists( #57, #267 ), references = 1, size of lhs = 2:
% 2.14/2.36 r1-{F}(V0), pppp22-{F}(V0,V1) | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #279: exists( #12, #277 ), references = 2, size of lhs = 3:
% 2.14/2.36 pppp1-{F}(V0,V1), pppp7-{F}(V1,V2,V3), r2-{F}(V4,V3) | pppp7-{T}(V0,V2,V4)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #311: exists( #57, #307 ), references = 2, size of lhs = 2:
% 2.14/2.36 pppp0-{F}(V0), pppp22-{F}(V1,V2) | pppp21-{T}(V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #312: exists( #57, #308 ), references = 1, size of lhs = 2:
% 2.14/2.36 r2-{F}(V0,V1), pppp22-{F}(V1,V2) | pppp21-{T}(V0,V1)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #323: exists( #21, #321 ), references = 1, size of lhs = 2:
% 2.14/2.36 pppp1-{F}(V0,V1), pppp3-{F}(V2,V1,V3) | pppp11-{T}(V0,V2,V3)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #332: exists( #9, #330 ), references = 1, size of lhs = 5:
% 2.14/2.36 r1-{F}(V0), r2-{F}(V0,V1), pppp1-{F}(V2,V3), pppp1-{F}(V3,V4), pppp11-{F}(V5,V4,V1) | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #344: exists( #58, #341 ), references = 2, size of lhs = 2:
% 2.14/2.36 pppp0-{F}(V0), pppp22-{F}(V1,V2) | pppp20-{T}(V0,V1,V2)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #350: exists( #54, #348 ), references = 1, size of lhs = 3:
% 2.14/2.36 pppp24-{F}(V0), pppp0-{F}(V1), pppp1-{F}(V1,V2) | pppp22-{T}(V2,V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #361: mergings( V0 == V3; #359 ), references = 1, size of lhs = 3:
% 2.14/2.36 pppp24-{F}(V0), pppp0-{F}(V1), pppp2-{F}(V1,V1,V1) | pppp1-{T}(V1,V0)
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 #394: exists( #0, #388 ), references = 1, size of lhs = 0:
% 2.14/2.36 FALSE | FALSE
% 2.14/2.36 (used 0 times, uses = {})
% 2.14/2.36
% 2.14/2.36 number of learnt formulas = 37
% 2.14/2.36
% 2.14/2.36
% 2.14/2.36 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.36
% 2.14/2.36 randbase = 1
%------------------------------------------------------------------------------