%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUN087+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 9.44s 9.62s
% Output : Refutation 9.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUN087+1 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 08:51:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.44/9.62 GeoParameters:
% 9.44/9.62
% 9.44/9.62 tptp_input = 1
% 9.44/9.62 tptp_output = 0
% 9.44/9.62 nonempty = 1
% 9.44/9.62 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.44/9.62 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 9.44/9.62
% 9.44/9.62
% 9.44/9.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.44/9.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.44/9.62
% 9.44/9.62 RuleSystem INPUT:
% 9.44/9.62
% 9.44/9.62 Initial Rules:
% 9.44/9.62 #0: input, references = 4, size of lhs = 0:
% 9.44/9.62 FALSE | EXISTS V0: pppp0-{T}(V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #1: input, references = 8, size of lhs = 2:
% 9.44/9.62 pppp0-{F}(V0), id-{F}(V1,V0) | r1-{T}(V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #2: input, references = 22, size of lhs = 2:
% 9.44/9.62 pppp0-{F}(V0), r1-{F}(V1) | id-{T}(V1,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #3: input, references = 3, size of lhs = 1:
% 9.44/9.62 #-{F} V0 | EXISTS V1: pppp1-{T}(V1,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #4: input, references = 11, size of lhs = 2:
% 9.44/9.62 pppp1-{F}(V0,V1), id-{F}(V2,V0) | r2-{T}(V1,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #5: input, references = 3, size of lhs = 2:
% 9.44/9.62 pppp1-{F}(V0,V1), r2-{F}(V1,V2) | id-{T}(V2,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #6: input, references = 3, size of lhs = 2:
% 9.44/9.62 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V2,V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #7: input, references = 3, size of lhs = 2:
% 9.44/9.62 pppp2-{F}(V0,V1,V2), id-{F}(V3,V0) | r3-{T}(V1,V2,V3)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #8: input, references = 19, size of lhs = 2:
% 9.44/9.62 pppp2-{F}(V0,V1,V2), r3-{F}(V1,V2,V3) | id-{T}(V3,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #9: input, references = 3, size of lhs = 2:
% 9.44/9.62 #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #10: input, references = 3, size of lhs = 2:
% 9.44/9.62 pppp3-{F}(V0,V1,V2), id-{F}(V3,V0) | r4-{T}(V1,V2,V3)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #11: input, references = 6, size of lhs = 2:
% 9.44/9.62 pppp3-{F}(V0,V1,V2), r4-{F}(V1,V2,V3) | id-{T}(V3,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #12: input, references = 6, size of lhs = 1:
% 9.44/9.62 #-{F} V0 | id-{T}(V0,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #13: input, references = 7, size of lhs = 1:
% 9.44/9.62 id-{F}(V0,V1) | id-{T}(V1,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #14: input, references = 3, size of lhs = 2:
% 9.44/9.62 id-{F}(V0,V1), id-{F}(V2,V0) | id-{T}(V2,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #15: input, references = 3, size of lhs = 2:
% 9.44/9.62 id-{F}(V0,V1), r1-{F}(V0) | r1-{T}(V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #16: input, references = 6, size of lhs = 2:
% 9.44/9.62 id-{F}(V0,V1), r1-{F}(V1) | r1-{T}(V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #17: input, references = 5, size of lhs = 3:
% 9.44/9.62 id-{F}(V0,V1), id-{F}(V3,V2), r2-{F}(V3,V0) | r2-{T}(V2,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #18: input, references = 5, size of lhs = 3:
% 9.44/9.62 id-{F}(V0,V1), id-{F}(V3,V2), r2-{F}(V2,V1) | r2-{T}(V3,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #19: input, references = 18, size of lhs = 4:
% 9.44/9.62 id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r3-{F}(V5,V3,V0) | r3-{T}(V4,V2,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #20: input, references = 3, size of lhs = 4:
% 9.44/9.62 id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r3-{F}(V4,V2,V1) | r3-{T}(V5,V3,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #21: input, references = 8, size of lhs = 4:
% 9.44/9.62 id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r4-{F}(V5,V3,V0) | r4-{T}(V4,V2,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #22: input, references = 3, size of lhs = 4:
% 9.44/9.62 id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r4-{F}(V4,V2,V1) | r4-{T}(V5,V3,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #23: input, references = 3, size of lhs = 2:
% 9.44/9.62 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V2,V1,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #24: input, references = 6, size of lhs = 1:
% 9.44/9.62 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #25: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V3,V0,V1,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #26: input, references = 5, size of lhs = 1:
% 9.44/9.62 pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #27: input, references = 9, size of lhs = 1:
% 9.44/9.62 pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #28: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V2,V4,V3)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #29: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp5-{F}(V0,V1,V2,V3) | id-{T}(V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #30: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V3,V2,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #31: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V1,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #32: input, references = 3, size of lhs = 2:
% 9.44/9.62 #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V2,V1,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #33: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #34: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V3,V0,V1,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #35: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #36: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V2,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #37: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V2,V4,V3)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #38: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp9-{F}(V0,V1,V2,V3) | id-{T}(V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #39: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V3,V2,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #40: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V1,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #41: input, references = 11, size of lhs = 3:
% 9.44/9.62 id-{F}(V3,V2), r2-{F}(V0,V3), r2-{F}(V1,V2) | id-{T}(V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #42: input, references = 3, size of lhs = 1:
% 9.44/9.62 #-{F} V0 | EXISTS V1: pppp13-{T}(V1,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #43: input, references = 11, size of lhs = 1:
% 9.44/9.62 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #44: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp13-{F}(V0,V1) | id-{T}(V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #45: input, references = 17, size of lhs = 1:
% 9.44/9.62 pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V2,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #46: input, references = 17, size of lhs = 1:
% 9.44/9.62 pppp12-{F}(V0,V1,V2) | r1-{T}(V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #47: input, references = 4, size of lhs = 1:
% 9.44/9.62 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #48: input, references = 5, size of lhs = 1:
% 9.44/9.62 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #49: input, references = 5, size of lhs = 1:
% 9.44/9.62 pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #50: input, references = 7, size of lhs = 1:
% 9.44/9.62 pppp15-{F}(V0,V1) | r1-{T}(V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #51: input, references = 7, size of lhs = 1:
% 9.44/9.62 pppp15-{F}(V0,V1) | id-{T}(V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #52: input, references = 8, size of lhs = 1:
% 9.44/9.62 pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #53: input, references = 8, size of lhs = 1:
% 9.44/9.62 pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #54: input, references = 3, size of lhs = 1:
% 9.44/9.62 #-{F} V0 | pppp20-{T}(V0), pppp21-{T}(V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #55: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp20-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #56: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp21-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #57: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #58: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp19-{F}(V0,V1) | id-{T}(V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #59: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #60: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp17-{F}(V0,V1) | r1-{T}(V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #61: input, references = 3, size of lhs = 1:
% 9.44/9.62 pppp17-{F}(V0,V1) | id-{T}(V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #62: input, references = 11, size of lhs = 3:
% 9.44/9.62 id-{F}(V1,V0), r1-{F}(V1), r2-{F}(V2,V0) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #63: input, references = 10, size of lhs = 4:
% 9.44/9.62 r1-{F}(V1), r4-{F}(V1,V1,V0), id-{F}(V0,V2), r1-{F}(V2) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 number of initial rules = 64
% 9.44/9.62
% 9.44/9.62 Simplifiers:
% 9.44/9.62 #64: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #65: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #66: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #67: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #68: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #69: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #70: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #71: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #72: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #73: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #74: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #75: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #76: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #77: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #78: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #79: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V1,V2), V0 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #80: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #81: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V0 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #82: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #83: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #84: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #85: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #86: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #87: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #88: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #89: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 number of simplifiers = 26
% 9.44/9.62
% 9.44/9.62 Learnt:
% 9.44/9.62 #103: exists( #43, #101 ), references = 1, size of lhs = 8:
% 9.44/9.62 pppp0-{F}(V0), r1-{F}(V1), r4-{F}(V1,V1,V2), r1-{F}(V3), id-{F}(V4,V2), pppp13-{F}(V4,V5), id-{F}(V5,V6), pppp2-{F}(V3,V6,V0) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #142: mergings( V3 == V4; #138 ), references = 2, size of lhs = 7:
% 9.44/9.62 pppp0-{F}(V0), pppp2-{F}(V0,V1,V0), id-{F}(V2,V1), pppp13-{F}(V3,V2), id-{F}(V3,V4), id-{F}(V4,V5), r2-{F}(V6,V5) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #144: mergings( V3 == V4; #139 ), references = 1, size of lhs = 6:
% 9.44/9.62 pppp0-{F}(V0), r4-{F}(V1,V1,V0), id-{F}(V2,V1), pppp13-{F}(V2,V3), id-{F}(V3,V4), pppp2-{F}(V0,V4,V0) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #154: exists( #48, #152 ), references = 3, size of lhs = 3:
% 9.44/9.62 r1-{F}(V0), r4-{F}(V0,V0,V1), pppp16-{F}(V2,V1) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #184: exists( #48, #178 ), references = 5, size of lhs = 3:
% 9.44/9.62 pppp16-{F}(V0,V1), id-{F}(V1,V2), r2-{F}(V3,V2) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #185: exists( #48, #179 ), references = 2, size of lhs = 4:
% 9.44/9.63 r1-{F}(V0), id-{F}(V1,V0), r4-{F}(V2,V2,V1), pppp16-{F}(V3,V2) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #186: exists( #48, #180 ), references = 1, size of lhs = 3:
% 9.44/9.63 pppp16-{F}(V0,V1), r4-{F}(V1,V1,V2), pppp16-{F}(V3,V2) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #220: mergings( V3 == V4; #217 ), references = 1, size of lhs = 13:
% 9.44/9.63 pppp0-{F}(V0), pppp2-{F}(V0,V1,V0), pppp1-{F}(V2,V1), pppp2-{F}(V2,V3,V0), id-{F}(V4,V3), pppp13-{F}(V5,V4), id-{F}(V5,V6), id-{F}(V7,V6), r2-{F}(V8,V7), pppp13-{F}(V9,V8), id-{F}(V9,V10), id-{F}(V10,V11), r2-{F}(V12,V11) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #255: exists( #43, #251 ), references = 3, size of lhs = 11:
% 9.44/9.63 pppp0-{F}(V0), r1-{F}(V1), r4-{F}(V1,V1,V2), r2-{F}(V2,V3), id-{F}(V3,V4), r1-{F}(V5), pppp1-{F}(V6,V5), id-{F}(V7,V4), pppp13-{F}(V7,V8), id-{F}(V8,V9), pppp2-{F}(V6,V9,V0) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #256: exists( #43, #252 ), references = 2, size of lhs = 11:
% 9.44/9.63 pppp0-{F}(V0), r1-{F}(V1), pppp1-{F}(V2,V1), pppp2-{F}(V2,V3,V0), id-{F}(V4,V3), pppp13-{F}(V5,V4), id-{F}(V5,V6), id-{F}(V7,V6), r2-{F}(V8,V7), r4-{F}(V9,V9,V8), pppp16-{F}(V10,V9) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #294: mergings( V3 == V4; #291 ), references = 1, size of lhs = 16:
% 9.44/9.63 pppp0-{F}(V0), r1-{F}(V1), r4-{F}(V1,V1,V2), r1-{F}(V3), pppp1-{F}(V4,V3), pppp2-{F}(V4,V5,V0), id-{F}(V6,V5), pppp13-{F}(V7,V6), id-{F}(V7,V8), id-{F}(V9,V8), id-{F}(V10,V9), r2-{F}(V11,V10), id-{F}(V12,V11), pppp13-{F}(V12,V13), id-{F}(V13,V14), pppp2-{F}(V2,V14,V0) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #296: mergings( V3 == V4; #292 ), references = 1, size of lhs = 16:
% 9.44/9.63 pppp0-{F}(V0), r1-{F}(V1), pppp1-{F}(V2,V1), pppp2-{F}(V2,V3,V0), id-{F}(V4,V3), pppp13-{F}(V5,V4), id-{F}(V5,V6), id-{F}(V7,V6), id-{F}(V8,V7), r2-{F}(V9,V8), id-{F}(V10,V9), pppp13-{F}(V10,V11), id-{F}(V11,V12), pppp2-{F}(V13,V12,V0), r4-{F}(V14,V14,V13), pppp16-{F}(V15,V14) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #348: exists( #43, #342 ), references = 1, size of lhs = 10:
% 9.44/9.63 pppp0-{F}(V0), r1-{F}(V1), pppp1-{F}(V2,V1), pppp2-{F}(V2,V3,V0), id-{F}(V4,V3), pppp13-{F}(V5,V4), id-{F}(V5,V6), id-{F}(V7,V6), r2-{F}(V8,V7), r2-{F}(V9,V8) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #350: mergings( V3 == V4; #346 ), references = 1, size of lhs = 10:
% 9.44/9.63 pppp0-{F}(V0), pppp1-{F}(V1,V0), pppp2-{F}(V1,V2,V0), id-{F}(V3,V2), pppp13-{F}(V4,V3), id-{F}(V4,V5), id-{F}(V6,V5), r2-{F}(V7,V6), r4-{F}(V7,V7,V8), id-{F}(V8,V7) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #353: mergings( V3 == V4, V4 == V5; #347 ), references = 1, size of lhs = 17:
% 9.44/9.63 pppp0-{F}(V0), r1-{F}(V1), pppp1-{F}(V2,V1), pppp1-{F}(V3,V0), pppp2-{F}(V2,V4,V0), id-{F}(V5,V4), pppp13-{F}(V6,V5), id-{F}(V6,V7), id-{F}(V8,V7), r2-{F}(V9,V8), r4-{F}(V10,V10,V9), r2-{F}(V10,V11), id-{F}(V11,V12), id-{F}(V13,V12), pppp13-{F}(V13,V14), id-{F}(V14,V15), pppp2-{F}(V3,V15,V0) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #395: exists( #43, #391 ), references = 3, size of lhs = 7:
% 9.44/9.63 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), id-{F}(V1,V4), r2-{F}(V5,V4), pppp2-{F}(V6,V3,V0), pppp16-{F}(V7,V6) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #396: exists( #43, #392 ), references = 1, size of lhs = 7:
% 9.44/9.63 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
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #450: exists( #49, #444 ), references = 1, size of lhs = 8:
% 9.44/9.63 pppp0-{F}(V0), r2-{F}(V0,V1), id-{F}(V2,V1), pppp3-{F}(V2,V3,V0), id-{F}(V4,V3), pppp16-{F}(V4,V5), id-{F}(V5,V6), pppp16-{F}(V7,V6) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #451: exists( #49, #445 ), references = 1, size of lhs = 8:
% 9.44/9.63 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V0,V2), id-{F}(V3,V2), id-{F}(V4,V1), pppp16-{F}(V5,V4), id-{F}(V5,V6), pppp3-{F}(V3,V6,V0) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #453: mergings( V3 == V4; #449 ), references = 2, size of lhs = 10:
% 9.44/9.63 pppp0-{F}(V0), pppp16-{F}(V1,V2), id-{F}(V1,V3), id-{F}(V2,V4), pppp13-{F}(V4,V5), id-{F}(V5,V6), pppp3-{F}(V7,V3,V0), r2-{F}(V8,V7), pppp2-{F}(V9,V6,V0), pppp16-{F}(V10,V9) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #507: exists( #24, #501 ), references = 1, size of lhs = 3:
% 9.44/9.63 pppp16-{F}(V0,V1), id-{F}(V1,V2), pppp7-{F}(V2,V3,V4) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #508: exists( #24, #502 ), references = 1, size of lhs = 3:
% 9.44/9.63 r1-{F}(V0), id-{F}(V0,V1), pppp7-{F}(V1,V2,V3) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #509: exists( #24, #503 ), references = 1, size of lhs = 7:
% 9.44/9.63 pppp0-{F}(V0), pppp13-{F}(V1,V2), id-{F}(V2,V3), id-{F}(V1,V4), pppp2-{F}(V5,V3,V0), pppp16-{F}(V6,V5), pppp7-{F}(V4,V7,V8) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #569: exists( #24, #565 ), references = 1, size of lhs = 6:
% 9.44/9.63 r1-{F}(V0), r2-{F}(V0,V1), id-{F}(V1,V2), pppp1-{F}(V3,V4), pppp7-{F}(V2,V5,V6), pppp2-{F}(V3,V6,V5) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #570: exists( #24, #566 ), references = 1, size of lhs = 6:
% 9.44/9.63 pppp1-{F}(V0,V1), pppp16-{F}(V2,V3), r2-{F}(V3,V4), id-{F}(V4,V5), pppp7-{F}(V5,V6,V7), pppp2-{F}(V0,V7,V6) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #733: exists( #43, #729 ), references = 1, size of lhs = 9:
% 9.44/9.63 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), r2-{F}(V8,V7) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #834: exists( #24, #832 ), references = 1, size of lhs = 10:
% 9.44/9.63 pppp0-{F}(V0), pppp16-{F}(V1,V2), id-{F}(V1,V3), id-{F}(V2,V4), pppp13-{F}(V4,V5), id-{F}(V5,V6), pppp3-{F}(V7,V3,V0), pppp2-{F}(V8,V6,V0), pppp16-{F}(V9,V8), pppp7-{F}(V7,V10,V11) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #1040: exists( #49, #1034 ), references = 2, size of lhs = 6:
% 9.44/9.63 pppp0-{F}(V0), r1-{F}(V0), id-{F}(V1,V0), pppp16-{F}(V1,V2), id-{F}(V2,V3), pppp16-{F}(V4,V3) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #1041: exists( #49, #1035 ), references = 1, size of lhs = 7:
% 9.44/9.63 pppp0-{F}(V0), r1-{F}(V0), id-{F}(V1,V0), pppp16-{F}(V1,V2), r1-{F}(V3), id-{F}(V2,V4), id-{F}(V4,V3) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #1044: exists( #47, #1042 ), references = 1, size of lhs = 3:
% 9.44/9.63 pppp0-{F}(V0), r1-{F}(V0), id-{F}(V1,V0) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #1048: exists( #0, #1046 ), references = 1, size of lhs = 0:
% 9.44/9.63 FALSE | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 number of learnt formulas = 31
% 9.44/9.63
% 9.44/9.63
% 9.44/9.63 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.44/9.63
% 9.44/9.63 randbase = 1
%------------------------------------------------------------------------------