%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:06:54 PM UTC 2026
% Result : Theorem 0.08s 0.33s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sat Sep 5 16:24:27 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.08/0.33 GeoParameters:
% 0.08/0.33
% 0.08/0.33 tptp_input = 1
% 0.08/0.33 tptp_output = 0
% 0.08/0.33 nonempty = 1
% 0.08/0.33 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.33 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.08/0.33
% 0.08/0.33
% 0.08/0.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.33 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.33
% 0.08/0.33 RuleSystem INPUT:
% 0.08/0.33
% 0.08/0.33 Initial Rules:
% 0.08/0.33 #0: input, references = 4, size of lhs = 1:
% 0.08/0.33 #-{F} V0 | r1-{T}(V0,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #1: input, references = 3, size of lhs = 2:
% 0.08/0.33 r1-{F}(V0,V1), r1-{F}(V2,V0) | r1-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #2: input, references = 4, size of lhs = 0:
% 0.08/0.33 FALSE | EXISTS V0: pppp35-{T}(V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #3: input, references = 4, size of lhs = 1:
% 0.08/0.33 pppp35-{F}(V0) | EXISTS V1: pppp34-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #4: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp35-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #5: input, references = 4, size of lhs = 2:
% 0.08/0.33 pppp34-{F}(V0,V1), r1-{F}(V1,V2) | pppp33-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #6: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp34-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #7: input, references = 4, size of lhs = 1:
% 0.08/0.33 pppp33-{F}(V0) | EXISTS V1: pppp32-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #8: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp33-{F}(V0) | EXISTS V1: pppp30-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #9: input, references = 4, size of lhs = 3:
% 0.08/0.33 pppp33-{F}(V0), r1-{F}(V0,V1), p1-{F}(V1) | p2-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #10: input, references = 4, size of lhs = 3:
% 0.08/0.33 pppp33-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1) | p1-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #11: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp33-{F}(V0) | EXISTS V1: pppp29-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #12: input, references = 4, size of lhs = 1:
% 0.08/0.33 pppp32-{F}(V0,V1) | pppp31-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #13: input, references = 5, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p2-{F}(V1), p1-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #14: input, references = 4, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p1-{T}(V1), p2-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #15: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p3-{F}(V1), p2-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #16: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p2-{T}(V1), p3-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #17: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p4-{F}(V1), p3-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #18: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p3-{T}(V1), p4-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #19: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p5-{F}(V1), p4-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #20: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p4-{T}(V1), p5-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #21: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p6-{F}(V1), p5-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #22: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p5-{T}(V1), p6-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #23: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p7-{F}(V1), p6-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #24: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p6-{T}(V1), p7-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #25: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p8-{F}(V1), p7-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #26: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p7-{T}(V1), p8-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #27: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p9-{F}(V1), p8-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #28: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p8-{T}(V1), p9-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #29: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p10-{F}(V1), p9-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #30: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p9-{T}(V1), p10-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #31: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p11-{F}(V1), p10-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #32: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p10-{T}(V1), p11-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #33: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p12-{F}(V1), p11-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #34: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p11-{T}(V1), p12-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #35: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p13-{F}(V1), p12-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #36: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p12-{T}(V1), p13-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #37: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p14-{F}(V1), p13-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #38: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p13-{T}(V1), p14-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #39: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p15-{F}(V1), p14-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #40: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p14-{T}(V1), p15-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #41: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p16-{F}(V1), p15-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #42: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p15-{T}(V1), p16-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #43: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p17-{F}(V1), p16-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #44: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p16-{T}(V1), p17-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #45: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p18-{F}(V1), p17-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #46: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p17-{T}(V1), p18-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #47: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p19-{F}(V1), p18-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #48: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p18-{T}(V1), p19-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #49: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p20-{F}(V1), p19-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #50: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p19-{T}(V1), p20-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #51: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p21-{F}(V1), p20-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #52: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p20-{T}(V1), p21-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #53: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p22-{F}(V1), p21-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #54: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p21-{T}(V1), p22-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #55: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p23-{F}(V1), p22-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #56: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p22-{T}(V1), p23-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #57: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p24-{F}(V1), p23-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #58: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p23-{T}(V1), p24-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #59: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p25-{F}(V1), p24-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #60: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p24-{T}(V1), p25-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #61: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p26-{F}(V1), p25-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #62: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p25-{T}(V1), p26-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #63: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p27-{F}(V1), p26-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #64: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p26-{T}(V1), p27-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #65: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p28-{F}(V1), p27-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #66: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p27-{T}(V1), p28-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #67: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), p29-{F}(V1), p28-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #68: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | p28-{T}(V1), p29-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #69: input, references = 4, size of lhs = 1:
% 0.08/0.33 pppp31-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #70: input, references = 3, size of lhs = 2:
% 0.08/0.33 pppp30-{F}(V0,V1), p30-{F}(V1) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #71: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp30-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #72: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp29-{F}(V0,V1), r1-{F}(V1,V2), p2-{F}(V2) | p3-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #73: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp29-{F}(V0,V1), r1-{F}(V1,V2), p3-{F}(V2) | p2-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #74: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp29-{F}(V0,V1) | EXISTS V2: pppp28-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #75: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp29-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #76: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp28-{F}(V0,V1), r1-{F}(V0,V2), p3-{F}(V2) | p4-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #77: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp28-{F}(V0,V1), r1-{F}(V0,V2), p4-{F}(V2) | p3-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #78: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp28-{F}(V0,V1) | EXISTS V2: pppp27-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #79: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp28-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #80: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp27-{F}(V0,V1), r1-{F}(V1,V2), p4-{F}(V2) | p5-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #81: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp27-{F}(V0,V1), r1-{F}(V1,V2), p5-{F}(V2) | p4-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #82: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp27-{F}(V0,V1) | EXISTS V2: pppp26-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #83: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp27-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #84: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp26-{F}(V0,V1), r1-{F}(V0,V2), p5-{F}(V2) | p6-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #85: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp26-{F}(V0,V1), r1-{F}(V0,V2), p6-{F}(V2) | p5-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #86: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp26-{F}(V0,V1) | EXISTS V2: pppp25-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #87: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp26-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #88: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp25-{F}(V0,V1), r1-{F}(V1,V2), p6-{F}(V2) | p7-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #89: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp25-{F}(V0,V1), r1-{F}(V1,V2), p7-{F}(V2) | p6-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #90: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp25-{F}(V0,V1) | EXISTS V2: pppp24-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #91: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp25-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #92: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp24-{F}(V0,V1), r1-{F}(V0,V2), p7-{F}(V2) | p8-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #93: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp24-{F}(V0,V1), r1-{F}(V0,V2), p8-{F}(V2) | p7-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #94: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp24-{F}(V0,V1) | EXISTS V2: pppp23-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #95: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp24-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #96: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp23-{F}(V0,V1), r1-{F}(V1,V2), p8-{F}(V2) | p9-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #97: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp23-{F}(V0,V1), r1-{F}(V1,V2), p9-{F}(V2) | p8-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #98: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp23-{F}(V0,V1) | EXISTS V2: pppp22-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #99: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp23-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #100: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp22-{F}(V0,V1), r1-{F}(V0,V2), p9-{F}(V2) | p10-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #101: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp22-{F}(V0,V1), r1-{F}(V0,V2), p10-{F}(V2) | p9-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #102: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp22-{F}(V0,V1) | EXISTS V2: pppp21-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #103: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp22-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #104: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp21-{F}(V0,V1), r1-{F}(V1,V2), p10-{F}(V2) | p11-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #105: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp21-{F}(V0,V1), r1-{F}(V1,V2), p11-{F}(V2) | p10-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #106: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp21-{F}(V0,V1) | EXISTS V2: pppp20-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #107: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp21-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #108: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp20-{F}(V0,V1), r1-{F}(V0,V2), p11-{F}(V2) | p12-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #109: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp20-{F}(V0,V1), r1-{F}(V0,V2), p12-{F}(V2) | p11-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #110: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp20-{F}(V0,V1) | EXISTS V2: pppp19-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #111: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp20-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #112: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp19-{F}(V0,V1), r1-{F}(V1,V2), p12-{F}(V2) | p13-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #113: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp19-{F}(V0,V1), r1-{F}(V1,V2), p13-{F}(V2) | p12-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #114: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #115: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp19-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #116: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp18-{F}(V0,V1), r1-{F}(V0,V2), p13-{F}(V2) | p14-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #117: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp18-{F}(V0,V1), r1-{F}(V0,V2), p14-{F}(V2) | p13-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #118: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp18-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #119: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp18-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #120: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp17-{F}(V0,V1), r1-{F}(V1,V2), p14-{F}(V2) | p15-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #121: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp17-{F}(V0,V1), r1-{F}(V1,V2), p15-{F}(V2) | p14-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #122: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp17-{F}(V0,V1) | EXISTS V2: pppp16-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #123: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp17-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #124: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp16-{F}(V0,V1), r1-{F}(V0,V2), p15-{F}(V2) | p16-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #125: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp16-{F}(V0,V1), r1-{F}(V0,V2), p16-{F}(V2) | p15-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #126: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #127: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp16-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #128: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp15-{F}(V0,V1), r1-{F}(V1,V2), p16-{F}(V2) | p17-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #129: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp15-{F}(V0,V1), r1-{F}(V1,V2), p17-{F}(V2) | p16-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #130: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp15-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #131: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp15-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #132: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp14-{F}(V0,V1), r1-{F}(V0,V2), p17-{F}(V2) | p18-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #133: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp14-{F}(V0,V1), r1-{F}(V0,V2), p18-{F}(V2) | p17-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #134: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #135: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp14-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #136: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp13-{F}(V0,V1), r1-{F}(V1,V2), p18-{F}(V2) | p19-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #137: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp13-{F}(V0,V1), r1-{F}(V1,V2), p19-{F}(V2) | p18-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #138: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #139: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp13-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #140: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp12-{F}(V0,V1), r1-{F}(V0,V2), p19-{F}(V2) | p20-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #141: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp12-{F}(V0,V1), r1-{F}(V0,V2), p20-{F}(V2) | p19-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #142: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp12-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #143: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp12-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #144: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp11-{F}(V0,V1), r1-{F}(V1,V2), p20-{F}(V2) | p21-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #145: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp11-{F}(V0,V1), r1-{F}(V1,V2), p21-{F}(V2) | p20-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #146: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp11-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #147: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp11-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #148: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp10-{F}(V0,V1), r1-{F}(V0,V2), p21-{F}(V2) | p22-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #149: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp10-{F}(V0,V1), r1-{F}(V0,V2), p22-{F}(V2) | p21-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #150: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #151: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp10-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #152: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp9-{F}(V0,V1), r1-{F}(V1,V2), p22-{F}(V2) | p23-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #153: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp9-{F}(V0,V1), r1-{F}(V1,V2), p23-{F}(V2) | p22-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #154: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp9-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #155: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp9-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #156: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp8-{F}(V0,V1), r1-{F}(V0,V2), p23-{F}(V2) | p24-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #157: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp8-{F}(V0,V1), r1-{F}(V0,V2), p24-{F}(V2) | p23-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #158: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #159: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp8-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #160: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp7-{F}(V0,V1), r1-{F}(V1,V2), p24-{F}(V2) | p25-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #161: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp7-{F}(V0,V1), r1-{F}(V1,V2), p25-{F}(V2) | p24-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #162: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #163: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp7-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #164: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp6-{F}(V0,V1), r1-{F}(V0,V2), p25-{F}(V2) | p26-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #165: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp6-{F}(V0,V1), r1-{F}(V0,V2), p26-{F}(V2) | p25-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #166: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #167: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp6-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #168: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp5-{F}(V0,V1), r1-{F}(V1,V2), p26-{F}(V2) | p27-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #169: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp5-{F}(V0,V1), r1-{F}(V1,V2), p27-{F}(V2) | p26-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #170: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #171: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp5-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #172: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp4-{F}(V0,V1), r1-{F}(V0,V2), p27-{F}(V2) | p28-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #173: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp4-{F}(V0,V1), r1-{F}(V0,V2), p28-{F}(V2) | p27-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #174: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #175: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp4-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #176: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp3-{F}(V0,V1), r1-{F}(V1,V2), p28-{F}(V2) | p29-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #177: input, references = 3, size of lhs = 3:
% 0.08/0.33 pppp3-{F}(V0,V1), r1-{F}(V1,V2), p29-{F}(V2) | p28-{T}(V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #178: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V1,V2)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #179: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #180: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp2-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #181: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #182: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp1-{F}(V0,V1) | p30-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #183: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #184: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp0-{F}(V0,V1) | p1-{T}(V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #185: input, references = 3, size of lhs = 1:
% 0.08/0.33 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 number of initial rules = 186
% 0.08/0.33
% 0.08/0.33 Simplifiers:
% 0.08/0.33 #186: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #187: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #188: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #189: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #190: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #191: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #192: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #193: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #194: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #195: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #196: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #197: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #198: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #199: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #200: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #201: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #202: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #203: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #204: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #205: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #206: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #207: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #208: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #209: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #210: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp23-{F}(V0,V1), pppp23-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #211: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp24-{F}(V0,V1), pppp24-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #212: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp25-{F}(V0,V1), pppp25-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #213: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp26-{F}(V0,V1), pppp26-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #214: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp27-{F}(V0,V1), pppp27-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #215: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp28-{F}(V0,V1), pppp28-{F}(V2,V1), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #216: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp29-{F}(V0,V1), pppp29-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #217: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp30-{F}(V0,V1), pppp30-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #218: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp31-{F}(V0,V1), pppp31-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #219: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp32-{F}(V0,V1), pppp32-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #220: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp34-{F}(V0,V1), pppp34-{F}(V0,V3), V1 == V3 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #221: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp34-{F}(V0,V1), pppp34-{F}(V2,V3), V0 == V2 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #222: unsound, references = 3, size of lhs = 3:
% 0.08/0.33 pppp35-{F}(V0), pppp35-{F}(V1), V0 == V1 | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 number of simplifiers = 37
% 0.08/0.33
% 0.08/0.33 Learnt:
% 0.08/0.33 #225: disj( #14, #9+#13 ), references = 1, size of lhs = 4:
% 0.08/0.33 pppp33-{F}(V0), r1-{F}(V0,V1), pppp31-{F}(V2,V1), pppp31-{F}(V3,V1) | p2-{T}(V1)
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #231: exists( #7, #229 ), references = 2, size of lhs = 1:
% 0.08/0.33 pppp33-{F}(V0) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #236: exists( #3, #234 ), references = 1, size of lhs = 1:
% 0.08/0.33 pppp35-{F}(V0) | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 #238: exists( #2, #235 ), references = 1, size of lhs = 0:
% 0.08/0.33 FALSE | FALSE
% 0.08/0.33 (used 0 times, uses = {})
% 0.08/0.33
% 0.08/0.33 number of learnt formulas = 4
% 0.08/0.33
% 0.08/0.33
% 0.08/0.33 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.33
% 0.08/0.33 randbase = 1
%------------------------------------------------------------------------------