TSTP Solution File: NUN073+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:13:43 EDT 2022
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 08:57:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 GeoParameters:
% 0.18/0.47
% 0.18/0.47 tptp_input = 1
% 0.18/0.47 tptp_output = 0
% 0.18/0.47 nonempty = 1
% 0.18/0.47 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47
% 0.18/0.47 RuleSystem INPUT:
% 0.18/0.47
% 0.18/0.47 Initial Rules:
% 0.18/0.47 #0: input, references = 4, size of lhs = 0:
% 0.18/0.47 FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #1: input, references = 4, size of lhs = 1:
% 0.18/0.47 pppp0-{F}(V0) | r1-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #2: input, references = 5, size of lhs = 3:
% 0.18/0.47 pppp0-{F}(V0), r1-{F}(V1), V1 == V0 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #3: input, references = 3, size of lhs = 1:
% 0.18/0.47 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #4: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp1-{F}(V0,V1) | r2-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #5: input, references = 3, size of lhs = 3:
% 0.18/0.47 pppp1-{F}(V0,V1), r2-{F}(V0,V2), V2 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #6: input, references = 4, size of lhs = 2:
% 0.18/0.47 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #7: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp2-{F}(V0,V1,V2) | r3-{T}(V0,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #8: input, references = 4, size of lhs = 3:
% 0.18/0.47 pppp2-{F}(V0,V1,V2), r3-{F}(V0,V1,V3), V3 == V2 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #9: input, references = 3, size of lhs = 2:
% 0.18/0.47 #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #10: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp3-{F}(V0,V1,V2) | r4-{T}(V0,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #11: input, references = 3, size of lhs = 3:
% 0.18/0.47 pppp3-{F}(V0,V1,V2), r4-{F}(V0,V1,V3), V3 == V2 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #12: input, references = 3, size of lhs = 2:
% 0.18/0.47 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V1,V0,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #13: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #14: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #15: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V1,V0,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #16: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #17: input, references = 3, size of lhs = 2:
% 0.18/0.47 pppp5-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #18: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V4,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #19: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #20: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #21: input, references = 3, size of lhs = 2:
% 0.18/0.47 #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V1,V0,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #22: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #23: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V3,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #24: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V1,V0,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #25: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #26: input, references = 3, size of lhs = 2:
% 0.18/0.47 pppp9-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #27: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V4,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #28: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #29: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #30: input, references = 4, size of lhs = 3:
% 0.18/0.47 r2-{F}(V0,V2), r2-{F}(V1,V2), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #31: input, references = 4, size of lhs = 1:
% 0.18/0.47 #-{F} V0 | EXISTS V1: pppp13-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #32: input, references = 4, size of lhs = 2:
% 0.18/0.47 pppp13-{F}(V0,V1), V1 == V0 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #33: input, references = 4, size of lhs = 1:
% 0.18/0.47 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #34: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V0,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #35: input, references = 4, size of lhs = 1:
% 0.18/0.47 pppp12-{F}(V0,V1,V2) | r1-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #36: input, references = 3, size of lhs = 1:
% 0.18/0.47 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #37: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #38: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #39: input, references = 3, size of lhs = 2:
% 0.18/0.47 pppp15-{F}(V0,V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #40: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp15-{F}(V0,V1) | r1-{T}(V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #41: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #42: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #43: input, references = 3, size of lhs = 1:
% 0.18/0.47 #-{F} V0 | pppp25-{T}(V0), pppp26-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #44: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp25-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #45: input, references = 3, size of lhs = 1:
% 0.18/0.47 pppp26-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #46: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #47: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp19-{F}(V0,V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #48: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #49: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp17-{F}(V0,V1), V1 == V0 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #50: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp17-{F}(V0,V1) | r1-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #51: input, references = 5, size of lhs = 2:
% 0.18/0.48 r1-{F}(V0), r2-{F}(V2,V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #52: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: pppp24-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #53: input, references = 5, size of lhs = 1:
% 0.18/0.48 pppp24-{F}(V0) | EXISTS V1: pppp23-{T}(V1,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #54: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp24-{F}(V0) | EXISTS V1: pppp21-{T}(V1,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #55: input, references = 5, size of lhs = 1:
% 0.18/0.48 pppp23-{F}(V0,V1) | r2-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #56: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp23-{F}(V0,V1) | EXISTS V2: pppp22-{T}(V2,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #57: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp22-{F}(V0,V1) | r2-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #58: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp22-{F}(V0,V1) | r1-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #59: input, references = 4, size of lhs = 2:
% 0.18/0.48 pppp21-{F}(V0,V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #60: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp21-{F}(V0,V1) | EXISTS V2: pppp20-{T}(V2,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #61: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp20-{F}(V0,V1) | r2-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #62: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp20-{F}(V0,V1) | r1-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of initial rules = 63
% 0.18/0.48
% 0.18/0.48 Simplifiers:
% 0.18/0.48 #63: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #64: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #65: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #66: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #67: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #68: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #69: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #70: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #71: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #72: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #73: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #74: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #75: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #76: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #77: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #78: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #79: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #80: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #81: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #82: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #83: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #84: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #85: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #86: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #87: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #88: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #89: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #90: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #91: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #92: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #93: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #94: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #95: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of simplifiers = 33
% 0.18/0.48
% 0.18/0.48 Learnt:
% 0.18/0.48 #100: exists( #53, #97 ), references = 1, size of lhs = 2:
% 0.18/0.48 pppp24-{F}(V0), r1-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #102: exists( #31, #32 ), references = 1, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | pppp13-{T}(V0,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #107: exists( #33, #105 ), references = 1, size of lhs = 2:
% 0.18/0.48 pppp0-{F}(V0), pppp13-{F}(V1,V2) | pppp12-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #113: exists( #53, #111 ), references = 2, size of lhs = 2:
% 0.18/0.48 pppp24-{F}(V0), r2-{F}(V1,V0) | pppp23-{T}(V1,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #115: exists( #6, #8 ), references = 1, size of lhs = 1:
% 0.18/0.48 r3-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #118: exists( #54, #59 ), references = 1, size of lhs = 1:
% 0.18/0.48 pppp24-{F}(V0) | pppp21-{T}(V0,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #124: exists( #60, #121 ), references = 1, size of lhs = 2:
% 0.18/0.48 pppp0-{F}(V0), pppp21-{F}(V1,V2) | pppp20-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #129: exists( #56, #126 ), references = 1, size of lhs = 2:
% 0.18/0.48 r1-{F}(V0), pppp23-{F}(V0,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #135: exists( #52, #133 ), references = 1, size of lhs = 2:
% 0.18/0.48 pppp0-{F}(V0), r1-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #138: exists( #0, #136 ), references = 1, size of lhs = 0:
% 0.18/0.48 FALSE | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of learnt formulas = 10
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 randbase = 1
%------------------------------------------------------------------------------