TSTP Solution File: NUN086+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUN086+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 1.74s 1.96s
% Output : Refutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUN086+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 08:49:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.96 GeoParameters:
% 1.74/1.96
% 1.74/1.96 tptp_input = 1
% 1.74/1.96 tptp_output = 0
% 1.74/1.96 nonempty = 1
% 1.74/1.96 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.74/1.96 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.74/1.96
% 1.74/1.96
% 1.74/1.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.74/1.96 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.74/1.96
% 1.74/1.96 RuleSystem INPUT:
% 1.74/1.96
% 1.74/1.96 Initial Rules:
% 1.74/1.96 #0: input, references = 4, size of lhs = 0:
% 1.74/1.96 FALSE | EXISTS V0: pppp0-{T}(V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #1: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp0-{F}(V0) | r1-{T}(V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #2: input, references = 7, size of lhs = 3:
% 1.74/1.96 pppp0-{F}(V0), r1-{F}(V1), V1 == V0 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #3: input, references = 5, size of lhs = 1:
% 1.74/1.96 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #4: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp1-{F}(V0,V1) | r2-{T}(V0,V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #5: input, references = 7, size of lhs = 3:
% 1.74/1.96 pppp1-{F}(V0,V1), r2-{F}(V0,V2), V2 == V1 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #6: input, references = 5, size of lhs = 2:
% 1.74/1.96 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #7: input, references = 3, size of lhs = 1:
% 1.74/1.96 pppp2-{F}(V0,V1,V2) | r3-{T}(V0,V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #8: input, references = 7, size of lhs = 3:
% 1.74/1.96 pppp2-{F}(V0,V1,V2), r3-{F}(V0,V1,V3), V3 == V2 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #9: input, references = 4, size of lhs = 2:
% 1.74/1.96 #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #10: input, references = 3, size of lhs = 1:
% 1.74/1.96 pppp3-{F}(V0,V1,V2) | r4-{T}(V0,V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #11: input, references = 5, size of lhs = 3:
% 1.74/1.96 pppp3-{F}(V0,V1,V2), r4-{F}(V0,V1,V3), V3 == V2 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #12: input, references = 5, size of lhs = 2:
% 1.74/1.96 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V1,V0,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #13: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #14: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #15: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V1,V0,V3)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #16: input, references = 5, size of lhs = 1:
% 1.74/1.96 pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #17: input, references = 4, size of lhs = 2:
% 1.74/1.96 pppp5-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #18: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V4,V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #19: input, references = 5, size of lhs = 1:
% 1.74/1.96 pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #20: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #21: input, references = 4, size of lhs = 2:
% 1.74/1.96 #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V1,V0,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #22: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #23: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V3,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #24: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V1,V0,V3)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #25: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #26: input, references = 4, size of lhs = 2:
% 1.74/1.96 pppp9-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #27: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V4,V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #28: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #29: input, references = 5, size of lhs = 1:
% 1.74/1.96 pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #30: input, references = 5, size of lhs = 3:
% 1.74/1.96 r2-{F}(V0,V2), r2-{F}(V1,V2), V0 == V1 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #31: input, references = 4, size of lhs = 1:
% 1.74/1.96 #-{F} V0 | EXISTS V1: pppp13-{T}(V0,V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #32: input, references = 4, size of lhs = 2:
% 1.74/1.96 pppp13-{F}(V0,V1), V1 == V0 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #33: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V0,V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #34: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V0,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #35: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp12-{F}(V0,V1,V2) | r1-{T}(V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #36: input, references = 4, size of lhs = 1:
% 1.74/1.96 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #37: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #38: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #39: input, references = 4, size of lhs = 2:
% 1.74/1.96 pppp15-{F}(V0,V1), V0 == V1 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #40: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp15-{F}(V0,V1) | r1-{T}(V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #41: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #42: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #43: input, references = 4, size of lhs = 1:
% 1.74/1.96 #-{F} V0 | pppp20-{T}(V0), pppp21-{T}(V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #44: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp20-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #45: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp21-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #46: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #47: input, references = 4, size of lhs = 2:
% 1.74/1.96 pppp19-{F}(V0,V1), V0 == V1 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #48: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #49: input, references = 4, size of lhs = 2:
% 1.74/1.96 pppp17-{F}(V0,V1), V1 == V0 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #50: input, references = 4, size of lhs = 1:
% 1.74/1.96 pppp17-{F}(V0,V1) | r1-{T}(V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #51: input, references = 4, size of lhs = 2:
% 1.74/1.96 r1-{F}(V0), r2-{F}(V2,V0) | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #52: input, references = 4, size of lhs = 5:
% 1.74/1.96 r1-{F}(V2), r2-{F}(V2,V1), r1-{F}(V3), r4-{F}(V3,V1,V4), r1-{F}(V4) | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 number of initial rules = 53
% 1.74/1.96
% 1.74/1.96 Simplifiers:
% 1.74/1.96 #53: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #54: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #55: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #56: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #57: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #58: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #59: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #60: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #61: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #62: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #63: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #64: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #65: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #66: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #67: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #68: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #69: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #70: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V2 == V5 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #71: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #72: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #73: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #74: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #75: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #76: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #77: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #78: unsound, references = 3, size of lhs = 3:
% 1.74/1.96 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 number of simplifiers = 26
% 1.74/1.96
% 1.74/1.96 Learnt:
% 1.74/1.96 #80: exists( #31, #32 ), references = 2, size of lhs = 1:
% 1.74/1.96 #-{F} V0 | pppp13-{T}(V0,V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #84: exists( #33, #81 ), references = 2, size of lhs = 2:
% 1.74/1.96 pppp0-{F}(V0), pppp13-{F}(V1,V2) | pppp12-{T}(V0,V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #87: exists( #6, #8 ), references = 3, size of lhs = 1:
% 1.74/1.96 r3-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #92: exists( #45, #47 ), references = 1, size of lhs = 1:
% 1.74/1.96 pppp21-{F}(V0) | pppp19-{T}(V0,V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #96: exists( #46, #94 ), references = 1, size of lhs = 2:
% 1.74/1.96 pppp19-{F}(V0,V1), r2-{F}(V2,V1) | pppp18-{T}(V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #99: exists( #37, #39 ), references = 2, size of lhs = 1:
% 1.74/1.96 pppp16-{F}(V0,V1) | pppp15-{T}(V1,V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #106: exists( #38, #101 ), references = 2, size of lhs = 2:
% 1.74/1.96 pppp0-{F}(V0), pppp16-{F}(V1,V2) | pppp14-{T}(V0,V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #109: exists( #9, #11 ), references = 2, size of lhs = 1:
% 1.74/1.96 r4-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #118: exists( #36, #114 ), references = 1, size of lhs = 2:
% 1.74/1.96 pppp0-{F}(V0), #-{F} V1 | pppp16-{T}(V1,V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #122: exists( #44, #49 ), references = 1, size of lhs = 1:
% 1.74/1.96 pppp20-{F}(V0) | pppp17-{T}(V0,V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #126: disj( #43, #121+#50+#2 ), references = 1, size of lhs = 3:
% 1.74/1.96 pppp0-{F}(V0), #-{F} V1, V1 == V0 | pppp21-{T}(V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #135: exists( #13, #130 ), references = 1, size of lhs = 2:
% 1.74/1.96 r2-{F}(V0,V1), pppp7-{F}(V2,V3,V1) | pppp6-{T}(V2,V3,V1,V0)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #136: exists( #13, #132 ), references = 2, size of lhs = 2:
% 1.74/1.96 pppp7-{F}(V0,V1,V2), pppp2-{F}(V1,V0,V3) | pppp6-{T}(V0,V1,V2,V3)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #146: exists( #3, #5 ), references = 1, size of lhs = 1:
% 1.74/1.96 r2-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #155: exists( #12, #153 ), references = 2, size of lhs = 2:
% 1.74/1.96 pppp1-{F}(V0,V1), pppp2-{F}(V2,V3,V0) | pppp7-{T}(V3,V2,V1)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #160: exists( #14, #17 ), references = 3, size of lhs = 1:
% 1.74/1.96 pppp7-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #173: exists( #18, #170 ), references = 3, size of lhs = 2:
% 1.74/1.96 pppp1-{F}(V0,V1), pppp5-{F}(V0,V2,V3,V4) | pppp4-{T}(V0,V1,V2,V3)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #191: exists( #3, #189 ), references = 3, size of lhs = 3:
% 1.74/1.96 pppp1-{F}(V0,V1), pppp2-{F}(V2,V0,V3), pppp2-{F}(V2,V1,V4) | pppp1-{T}(V3,V4)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #210: exists( #12, #208 ), references = 2, size of lhs = 4:
% 1.74/1.96 r1-{F}(V0), pppp1-{F}(V1,V2), pppp1-{F}(V2,V3), pppp2-{F}(V4,V3,V0) | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #214: exists( #6, #212 ), references = 1, size of lhs = 5:
% 1.74/1.96 r1-{F}(V0), pppp1-{F}(V1,V2), pppp2-{F}(V3,V2,V4), pppp1-{F}(V4,V5), pppp2-{F}(V6,V5,V0) | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #247: exists( #23, #26 ), references = 2, size of lhs = 1:
% 1.74/1.96 pppp11-{F}(V0,V1,V2) | pppp9-{T}(V0,V1,V2,V2)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #280: exists( #22, #278 ), references = 1, size of lhs = 2:
% 1.74/1.96 pppp11-{F}(V0,V1,V2), pppp3-{F}(V1,V0,V3) | pppp10-{T}(V0,V1,V2,V3)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #284: exists( #21, #282 ), references = 2, size of lhs = 2:
% 1.74/1.96 pppp3-{F}(V0,V1,V2), pppp2-{F}(V2,V0,V3) | pppp11-{T}(V1,V0,V3)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #292: exists( #27, #289 ), references = 1, size of lhs = 4:
% 1.74/1.96 r1-{F}(V0), r1-{F}(V1), r1-{F}(V2), pppp9-{F}(V0,V1,V2,V3) | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #293: exists( #27, #288 ), references = 1, size of lhs = 2:
% 1.74/1.96 pppp1-{F}(V0,V1), pppp9-{F}(V0,V2,V3,V4) | pppp8-{T}(V0,V1,V2,V3)
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 #306: exists( #0, #304 ), references = 1, size of lhs = 0:
% 1.74/1.96 FALSE | FALSE
% 1.74/1.96 (used 0 times, uses = {})
% 1.74/1.96
% 1.74/1.96 number of learnt formulas = 26
% 1.74/1.96
% 1.74/1.96
% 1.74/1.96 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.74/1.96
% 1.74/1.96 randbase = 1
%------------------------------------------------------------------------------