TSTP Solution File: NUN060+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUN060+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:13:41 EDT 2022
% Result : Theorem 1.36s 1.53s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUN060+2 : TPTP v8.1.0. Released v7.3.0.
% 0.04/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n010.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 08:42:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.36/1.53 GeoParameters:
% 1.36/1.53
% 1.36/1.53 tptp_input = 1
% 1.36/1.53 tptp_output = 0
% 1.36/1.53 nonempty = 1
% 1.36/1.53 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.36/1.53 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.36/1.53
% 1.36/1.53
% 1.36/1.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.36/1.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.36/1.53
% 1.36/1.53 RuleSystem INPUT:
% 1.36/1.53
% 1.36/1.53 Initial Rules:
% 1.36/1.53 #0: input, references = 4, size of lhs = 0:
% 1.36/1.53 FALSE | EXISTS V0: pppp0-{T}(V0)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #1: input, references = 5, size of lhs = 1:
% 1.36/1.53 pppp0-{F}(V0) | r1-{T}(V0)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #2: input, references = 8, size of lhs = 3:
% 1.36/1.53 pppp0-{F}(V0), r1-{F}(V1), V1 == V0 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #3: input, references = 8, size of lhs = 1:
% 1.36/1.53 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #4: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp1-{F}(V0,V1) | r2-{T}(V0,V1)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #5: input, references = 6, size of lhs = 3:
% 1.36/1.53 pppp1-{F}(V0,V1), r2-{F}(V0,V2), V2 == V1 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #6: input, references = 6, size of lhs = 2:
% 1.36/1.53 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #7: input, references = 3, size of lhs = 1:
% 1.36/1.53 pppp2-{F}(V0,V1,V2) | r3-{T}(V0,V1,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #8: input, references = 6, size of lhs = 3:
% 1.36/1.53 pppp2-{F}(V0,V1,V2), r3-{F}(V0,V1,V3), V3 == V2 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #9: input, references = 4, size of lhs = 2:
% 1.36/1.53 #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #10: input, references = 3, size of lhs = 1:
% 1.36/1.53 pppp3-{F}(V0,V1,V2) | r4-{T}(V0,V1,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #11: input, references = 4, size of lhs = 3:
% 1.36/1.53 pppp3-{F}(V0,V1,V2), r4-{F}(V0,V1,V3), V3 == V2 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #12: input, references = 10, size of lhs = 2:
% 1.36/1.53 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V1,V0,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #13: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #14: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #15: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V1,V0,V3)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #16: input, references = 19, size of lhs = 1:
% 1.36/1.53 pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #17: input, references = 4, size of lhs = 2:
% 1.36/1.53 pppp5-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #18: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V4,V1,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #19: input, references = 23, size of lhs = 1:
% 1.36/1.53 pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #20: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #21: input, references = 3, size of lhs = 2:
% 1.36/1.53 #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V1,V0,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #22: input, references = 3, size of lhs = 1:
% 1.36/1.53 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #23: input, references = 3, size of lhs = 1:
% 1.36/1.53 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V3,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #24: input, references = 3, size of lhs = 1:
% 1.36/1.53 pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V1,V0,V3)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #25: input, references = 3, size of lhs = 1:
% 1.36/1.53 pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V1,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #26: input, references = 3, size of lhs = 2:
% 1.36/1.53 pppp9-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #27: input, references = 3, size of lhs = 1:
% 1.36/1.53 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V4,V1,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #28: input, references = 3, size of lhs = 1:
% 1.36/1.53 pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #29: input, references = 3, size of lhs = 1:
% 1.36/1.53 pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #30: input, references = 5, size of lhs = 3:
% 1.36/1.53 r2-{F}(V0,V2), r2-{F}(V1,V2), V0 == V1 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #31: input, references = 4, size of lhs = 1:
% 1.36/1.53 #-{F} V0 | EXISTS V1: pppp13-{T}(V0,V1)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #32: input, references = 4, size of lhs = 2:
% 1.36/1.53 pppp13-{F}(V0,V1), V1 == V0 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #33: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V0,V1)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #34: input, references = 12, size of lhs = 1:
% 1.36/1.53 pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V0,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #35: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp12-{F}(V0,V1,V2) | r1-{T}(V0)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #36: input, references = 4, size of lhs = 1:
% 1.36/1.53 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #37: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #38: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #39: input, references = 4, size of lhs = 2:
% 1.36/1.53 pppp15-{F}(V0,V1), V0 == V1 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #40: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp15-{F}(V0,V1) | r1-{T}(V1)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #41: input, references = 3, size of lhs = 1:
% 1.36/1.53 pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #42: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #43: input, references = 4, size of lhs = 1:
% 1.36/1.53 #-{F} V0 | pppp20-{T}(V0), pppp21-{T}(V0)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #44: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp20-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #45: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp21-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #46: input, references = 5, size of lhs = 1:
% 1.36/1.53 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #47: input, references = 4, size of lhs = 2:
% 1.36/1.53 pppp19-{F}(V0,V1), V0 == V1 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #48: input, references = 6, size of lhs = 1:
% 1.36/1.53 pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #49: input, references = 4, size of lhs = 2:
% 1.36/1.53 pppp17-{F}(V0,V1), V1 == V0 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #50: input, references = 4, size of lhs = 1:
% 1.36/1.53 pppp17-{F}(V0,V1) | r1-{T}(V0)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #51: input, references = 4, size of lhs = 2:
% 1.36/1.53 r1-{F}(V0), r2-{F}(V2,V0) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #52: input, references = 5, size of lhs = 6:
% 1.36/1.53 r2-{F}(V3,V2), r2-{F}(V4,V3), r2-{F}(V5,V4), r1-{F}(V6), r2-{F}(V6,V5), r3-{F}(V7,V2,V1) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 number of initial rules = 53
% 1.36/1.53
% 1.36/1.53 Simplifiers:
% 1.36/1.53 #53: unsound, references = 3, size of lhs = 3:
% 1.36/1.53 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #54: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #55: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #56: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #57: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #58: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #59: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #60: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #61: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #62: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #63: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #64: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #65: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #66: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #67: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #68: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #69: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #70: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V2 == V5 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #71: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #72: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #73: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #74: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #75: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #76: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #77: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #78: unsound, references = 3, size of lhs = 3:
% 1.36/1.54 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 number of simplifiers = 26
% 1.36/1.54
% 1.36/1.54 Learnt:
% 1.36/1.54 #80: exists( #31, #32 ), references = 9, size of lhs = 1:
% 1.36/1.54 #-{F} V0 | pppp13-{T}(V0,V0)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #86: exists( #33, #81 ), references = 9, size of lhs = 2:
% 1.36/1.54 pppp0-{F}(V0), pppp13-{F}(V1,V2) | pppp12-{T}(V0,V1,V2)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #89: exists( #6, #8 ), references = 26, size of lhs = 1:
% 1.36/1.54 r3-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #94: exists( #45, #47 ), references = 2, size of lhs = 1:
% 1.36/1.54 pppp21-{F}(V0) | pppp19-{T}(V0,V0)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #100: exists( #46, #97 ), references = 1, size of lhs = 2:
% 1.36/1.54 pppp19-{F}(V0,V1), r2-{F}(V2,V1) | pppp18-{T}(V1,V2)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #104: exists( #37, #39 ), references = 2, size of lhs = 1:
% 1.36/1.54 pppp16-{F}(V0,V1) | pppp15-{T}(V1,V1)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #111: exists( #38, #107 ), references = 1, size of lhs = 2:
% 1.36/1.54 pppp0-{F}(V0), pppp16-{F}(V1,V2) | pppp14-{T}(V0,V1,V2)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #115: exists( #9, #11 ), references = 1, size of lhs = 1:
% 1.36/1.54 r4-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #125: exists( #36, #121 ), references = 1, size of lhs = 2:
% 1.36/1.54 pppp0-{F}(V0), #-{F} V1 | pppp16-{T}(V1,V0)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #129: exists( #44, #49 ), references = 1, size of lhs = 1:
% 1.36/1.54 pppp20-{F}(V0) | pppp17-{T}(V0,V0)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #133: disj( #43, #128+#50+#2 ), references = 1, size of lhs = 3:
% 1.36/1.54 pppp0-{F}(V0), #-{F} V1, V1 == V0 | pppp21-{T}(V1)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #141: exists( #13, #136 ), references = 1, size of lhs = 2:
% 1.36/1.54 r2-{F}(V0,V1), pppp7-{F}(V2,V3,V1) | pppp6-{T}(V2,V3,V1,V0)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #142: exists( #13, #138 ), references = 16, size of lhs = 2:
% 1.36/1.54 pppp7-{F}(V0,V1,V2), pppp2-{F}(V1,V0,V3) | pppp6-{T}(V0,V1,V2,V3)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #152: exists( #3, #5 ), references = 13, size of lhs = 1:
% 1.36/1.54 r2-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #161: exists( #12, #159 ), references = 19, size of lhs = 2:
% 1.36/1.54 pppp1-{F}(V0,V1), pppp2-{F}(V2,V3,V0) | pppp7-{T}(V3,V2,V1)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #166: exists( #14, #17 ), references = 21, size of lhs = 1:
% 1.36/1.54 pppp7-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2,V2)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #181: exists( #18, #178 ), references = 21, size of lhs = 2:
% 1.36/1.54 pppp1-{F}(V0,V1), pppp5-{F}(V0,V2,V3,V4) | pppp4-{T}(V0,V1,V2,V3)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #198: exists( #3, #196 ), references = 3, size of lhs = 5:
% 1.36/1.54 r1-{F}(V0), r2-{F}(V0,V1), r2-{F}(V1,V2), r2-{F}(V2,V3), pppp5-{F}(V3,V4,V5,V6) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #230: exists( #12, #228 ), references = 5, size of lhs = 4:
% 1.36/1.54 pppp1-{F}(V0,V1), pppp2-{F}(V2,V0,V3), pppp2-{F}(V2,V1,V4), pppp2-{F}(V5,V6,V3) | pppp7-{T}(V6,V5,V4)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #276: exists( #12, #270 ), references = 3, size of lhs = 5:
% 1.36/1.54 pppp0-{F}(V0), r1-{F}(V1), pppp1-{F}(V2,V3), pppp1-{F}(V3,V4), pppp2-{F}(V5,V4,V1) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #277: exists( #12, #271 ), references = 2, size of lhs = 8:
% 1.36/1.54 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V1,V2), pppp1-{F}(V3,V4), pppp1-{F}(V4,V5), pppp2-{F}(V6,V3,V2), pppp2-{F}(V6,V5,V7), pppp5-{F}(V7,V8,V9,V10) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #278: exists( #12, #272 ), references = 1, size of lhs = 10:
% 1.36/1.54 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V1,V2), pppp1-{F}(V3,V4), pppp1-{F}(V4,V5), pppp2-{F}(V6,V3,V2), pppp2-{F}(V6,V5,V7), r2-{F}(V7,V8), pppp1-{F}(V9,V8), pppp2-{F}(V10,V9,V2) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #288: exists( #6, #286 ), references = 1, size of lhs = 6:
% 1.36/1.54 pppp0-{F}(V0), r1-{F}(V1), pppp1-{F}(V2,V3), pppp2-{F}(V4,V3,V5), pppp1-{F}(V5,V6), pppp2-{F}(V7,V6,V1) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #326: exists( #12, #322 ), references = 1, size of lhs = 6:
% 1.36/1.54 r1-{F}(V0), r2-{F}(V0,V1), r2-{F}(V1,V2), r2-{F}(V2,V3), pppp2-{F}(V4,V3,V5), pppp2-{F}(V6,V7,V5) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #327: exists( #12, #323 ), references = 1, size of lhs = 9:
% 1.36/1.54 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V1,V2), pppp1-{F}(V3,V4), pppp1-{F}(V4,V5), pppp2-{F}(V6,V3,V2), pppp2-{F}(V6,V5,V7), pppp2-{F}(V8,V7,V9), pppp2-{F}(V10,V11,V9) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #347: exists( #12, #343 ), references = 1, size of lhs = 6:
% 1.36/1.54 r1-{F}(V0), r2-{F}(V0,V1), r2-{F}(V1,V2), pppp2-{F}(V3,V4,V2), pppp2-{F}(V5,V6,V7), pppp5-{F}(V2,V8,V7,V9) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #348: exists( #12, #344 ), references = 1, size of lhs = 9:
% 1.36/1.54 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V1,V2), pppp1-{F}(V3,V4), pppp2-{F}(V5,V3,V2), pppp2-{F}(V5,V4,V4), pppp2-{F}(V6,V7,V4), pppp2-{F}(V8,V9,V10), pppp5-{F}(V4,V11,V10,V12) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #388: exists( #12, #384 ), references = 1, size of lhs = 8:
% 1.36/1.54 r1-{F}(V0), r2-{F}(V0,V1), pppp2-{F}(V2,V3,V1), pppp2-{F}(V4,V5,V1), pppp1-{F}(V5,V6), pppp1-{F}(V7,V8), pppp5-{F}(V1,V9,V7,V10), pppp5-{F}(V1,V11,V8,V12) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #390: mergings( V5 == V9; #387 ), references = 1, size of lhs = 10:
% 1.36/1.54 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V1,V2), pppp2-{F}(V3,V2,V2), pppp1-{F}(V4,V5), pppp2-{F}(V6,V4,V2), pppp2-{F}(V7,V8,V2), pppp1-{F}(V9,V10), pppp5-{F}(V2,V11,V9,V12), pppp5-{F}(V2,V13,V10,V14) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #397: exists( #3, #393 ), references = 1, size of lhs = 7:
% 1.36/1.54 r1-{F}(V0), r2-{F}(V0,V1), pppp2-{F}(V2,V1,V3), pppp2-{F}(V4,V5,V1), pppp2-{F}(V6,V7,V1), pppp1-{F}(V7,V8), pppp5-{F}(V1,V9,V3,V10) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #427: exists( #46, #423 ), references = 1, size of lhs = 10:
% 1.36/1.54 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V1,V2), pppp1-{F}(V0,V2), pppp19-{F}(V3,V4), pppp1-{F}(V4,V5), pppp2-{F}(V6,V2,V5), pppp2-{F}(V7,V8,V2), pppp2-{F}(V9,V10,V2), pppp1-{F}(V10,V11) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #430: mergings( V3 == V4, V6 == V7; #426 ), references = 1, size of lhs = 11:
% 1.36/1.54 pppp0-{F}(V0), r1-{F}(V1), r2-{F}(V1,V2), pppp1-{F}(V0,V2), pppp2-{F}(V3,V2,V2), pppp19-{F}(V4,V5), pppp1-{F}(V5,V6), pppp2-{F}(V7,V2,V6), pppp1-{F}(V8,V9), pppp2-{F}(V10,V8,V2), pppp2-{F}(V11,V12,V2) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #463: exists( #12, #459 ), references = 1, size of lhs = 7:
% 1.36/1.54 pppp0-{F}(V0), r1-{F}(V0), pppp2-{F}(V1,V0,V0), pppp2-{F}(V2,V3,V0), pppp19-{F}(V4,V5), pppp1-{F}(V5,V6), pppp5-{F}(V0,V7,V6,V8) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #472: exists( #3, #468 ), references = 1, size of lhs = 6:
% 1.36/1.54 pppp0-{F}(V0), r1-{F}(V0), pppp2-{F}(V1,V0,V0), pppp2-{F}(V2,V0,V3), pppp19-{F}(V4,V3), pppp2-{F}(V5,V6,V0) | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #495: exists( #0, #491 ), references = 2, size of lhs = 1:
% 1.36/1.54 pppp13-{F}(V0,V1) | pppp0-{T}(V1)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #499: exists( #3, #497 ), references = 1, size of lhs = 2:
% 1.36/1.54 r1-{F}(V0), #-{F} V1 | pppp1-{T}(V1,V0)
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 #514: #79+#493+#1+#86+#34+#89+#498+#276, references = 1, size of lhs = 1:
% 1.36/1.54 #-{F} V0 | FALSE
% 1.36/1.54 (used 0 times, uses = {})
% 1.36/1.54
% 1.36/1.54 number of learnt formulas = 37
% 1.36/1.54
% 1.36/1.54
% 1.36/1.54 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.36/1.54
% 1.36/1.54 randbase = 1
%------------------------------------------------------------------------------