%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 12:06:48 PM UTC 2026
% Result : Theorem 2.66s 2.94s
% Output : Refutation 2.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 21:09:39 UTC 2026
% 0.11/0.37 % CPUTime :
% 2.66/2.94 GeoParameters:
% 2.66/2.94
% 2.66/2.94 tptp_input = 1
% 2.66/2.94 tptp_output = 0
% 2.66/2.94 nonempty = 1
% 2.66/2.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/2.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.66/2.94
% 2.66/2.94
% 2.66/2.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/2.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/2.94
% 2.66/2.94 RuleSystem INPUT:
% 2.66/2.94
% 2.66/2.94 Initial Rules:
% 2.66/2.94 #0: input, references = 4, size of lhs = 1:
% 2.66/2.94 #-{F} V0 | r1-{T}(V0,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #1: input, references = 6, size of lhs = 2:
% 2.66/2.94 r1-{F}(V0,V1), r1-{F}(V2,V0) | r1-{T}(V2,V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #2: input, references = 4, size of lhs = 0:
% 2.66/2.94 FALSE | EXISTS V0: pppp21-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #3: input, references = 4, size of lhs = 1:
% 2.66/2.94 pppp21-{F}(V0) | p100-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #4: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp21-{F}(V0), p101-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #5: input, references = 7, size of lhs = 2:
% 2.66/2.94 pppp21-{F}(V0), r1-{F}(V0,V1) | pppp20-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #6: input, references = 4, size of lhs = 2:
% 2.66/2.94 pppp21-{F}(V0), r1-{F}(V0,V1) | p5-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #7: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p101-{F}(V0) | p100-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #8: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p102-{F}(V0) | p101-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #9: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p103-{F}(V0) | p102-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #10: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p104-{F}(V0) | p103-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #11: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p105-{F}(V0) | p104-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #12: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p106-{F}(V0) | p105-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #13: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p107-{F}(V0) | p106-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #14: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p108-{F}(V0) | p107-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #15: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p109-{F}(V0) | p108-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #16: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p110-{F}(V0) | p109-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #17: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p111-{F}(V0) | p110-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #18: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p100-{F}(V1), p1-{F}(V0), p100-{F}(V0) | p1-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #19: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p1-{F}(V1), p100-{F}(V1), p100-{F}(V0) | p1-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #20: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p101-{F}(V1), p2-{F}(V0), p101-{F}(V0) | p2-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #21: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), p101-{F}(V1), p101-{F}(V0) | p2-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #22: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p102-{F}(V1), p3-{F}(V0), p102-{F}(V0) | p3-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #23: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p3-{F}(V1), p102-{F}(V1), p102-{F}(V0) | p3-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #24: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p103-{F}(V1), p4-{F}(V0), p103-{F}(V0) | p4-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #25: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p4-{F}(V1), p103-{F}(V1), p103-{F}(V0) | p4-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #26: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p104-{F}(V1), p5-{F}(V0), p104-{F}(V0) | p5-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #27: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p5-{F}(V1), p104-{F}(V1), p104-{F}(V0) | p5-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #28: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p105-{F}(V1), p6-{F}(V0), p105-{F}(V0) | p6-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #29: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p6-{F}(V1), p105-{F}(V1), p105-{F}(V0) | p6-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #30: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p106-{F}(V1), p7-{F}(V0), p106-{F}(V0) | p7-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #31: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p7-{F}(V1), p106-{F}(V1), p106-{F}(V0) | p7-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #32: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p107-{F}(V1), p8-{F}(V0), p107-{F}(V0) | p8-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #33: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p8-{F}(V1), p107-{F}(V1), p107-{F}(V0) | p8-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #34: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p108-{F}(V1), p9-{F}(V0), p108-{F}(V0) | p9-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #35: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p9-{F}(V1), p108-{F}(V1), p108-{F}(V0) | p9-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #36: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p109-{F}(V1), p10-{F}(V0), p109-{F}(V0) | p10-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #37: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p10-{F}(V1), p109-{F}(V1), p109-{F}(V0) | p10-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #38: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p110-{F}(V1), p11-{F}(V0), p110-{F}(V0) | p11-{T}(V1)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #39: input, references = 3, size of lhs = 5:
% 2.66/2.94 pppp20-{F}(V0), r1-{F}(V0,V1), p11-{F}(V1), p110-{F}(V1), p110-{F}(V0) | p11-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #40: input, references = 4, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p100-{F}(V0) | pppp22-{T}(V0), p101-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #41: input, references = 4, size of lhs = 1:
% 2.66/2.94 pppp22-{F}(V0) | EXISTS V1: pppp19-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #42: input, references = 4, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p100-{F}(V0) | pppp23-{T}(V0), p101-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #43: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp23-{F}(V0) | EXISTS V1: pppp18-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #44: input, references = 5, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p101-{F}(V0) | pppp24-{T}(V0), p102-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #45: input, references = 4, size of lhs = 1:
% 2.66/2.94 pppp24-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #46: input, references = 5, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p101-{F}(V0) | pppp25-{T}(V0), p102-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #47: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp25-{F}(V0) | EXISTS V1: pppp16-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #48: input, references = 5, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p102-{F}(V0) | pppp26-{T}(V0), p103-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #49: input, references = 4, size of lhs = 1:
% 2.66/2.94 pppp26-{F}(V0) | EXISTS V1: pppp15-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #50: input, references = 5, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p102-{F}(V0) | pppp27-{T}(V0), p103-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #51: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp27-{F}(V0) | EXISTS V1: pppp14-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #52: input, references = 5, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p103-{F}(V0) | pppp28-{T}(V0), p104-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #53: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp28-{F}(V0) | EXISTS V1: pppp13-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #54: input, references = 4, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p103-{F}(V0) | pppp29-{T}(V0), p104-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #55: input, references = 4, size of lhs = 1:
% 2.66/2.94 pppp29-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #56: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p104-{F}(V0) | pppp30-{T}(V0), p105-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #57: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp30-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #58: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p104-{F}(V0) | pppp31-{T}(V0), p105-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #59: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp31-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #60: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p105-{F}(V0) | pppp32-{T}(V0), p106-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #61: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp32-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #62: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p105-{F}(V0) | pppp33-{T}(V0), p106-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #63: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp33-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #64: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p106-{F}(V0) | pppp34-{T}(V0), p107-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #65: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp34-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #66: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p106-{F}(V0) | pppp35-{T}(V0), p107-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #67: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp35-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #68: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p107-{F}(V0) | pppp36-{T}(V0), p108-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #69: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp36-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #70: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p107-{F}(V0) | pppp37-{T}(V0), p108-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #71: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp37-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #72: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p108-{F}(V0) | pppp38-{T}(V0), p109-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #73: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp38-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #74: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p108-{F}(V0) | pppp39-{T}(V0), p109-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #75: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp39-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #76: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p109-{F}(V0) | pppp40-{T}(V0), p110-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #77: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp40-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #78: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp20-{F}(V0), p109-{F}(V0) | pppp41-{T}(V0), p110-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #79: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp41-{F}(V0) | EXISTS V1: pppp0-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #80: input, references = 4, size of lhs = 1:
% 2.66/2.94 pppp19-{F}(V0,V1) | p101-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #81: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp19-{F}(V0,V1), p102-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #82: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp19-{F}(V0,V1) | p2-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #83: input, references = 4, size of lhs = 1:
% 2.66/2.94 pppp19-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #84: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp18-{F}(V0,V1) | p101-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #85: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp18-{F}(V0,V1), p102-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #86: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp18-{F}(V0,V1), p2-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #87: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp18-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #88: input, references = 4, size of lhs = 1:
% 2.66/2.94 pppp17-{F}(V0,V1) | p102-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #89: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp17-{F}(V0,V1), p103-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #90: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp17-{F}(V0,V1) | p3-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #91: input, references = 4, size of lhs = 1:
% 2.66/2.94 pppp17-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #92: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp16-{F}(V0,V1) | p102-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #93: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp16-{F}(V0,V1), p103-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #94: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp16-{F}(V0,V1), p3-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #95: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp16-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #96: input, references = 4, size of lhs = 1:
% 2.66/2.94 pppp15-{F}(V0,V1) | p103-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #97: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp15-{F}(V0,V1), p104-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #98: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp15-{F}(V0,V1) | p4-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #99: input, references = 4, size of lhs = 1:
% 2.66/2.94 pppp15-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #100: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp14-{F}(V0,V1) | p103-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #101: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp14-{F}(V0,V1), p104-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #102: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp14-{F}(V0,V1), p4-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #103: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp14-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #104: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp13-{F}(V0,V1) | p104-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #105: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp13-{F}(V0,V1), p105-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #106: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp13-{F}(V0,V1) | p5-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #107: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp13-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #108: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp12-{F}(V0,V1) | p104-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #109: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp12-{F}(V0,V1), p105-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #110: input, references = 4, size of lhs = 2:
% 2.66/2.94 pppp12-{F}(V0,V1), p5-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #111: input, references = 4, size of lhs = 1:
% 2.66/2.94 pppp12-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #112: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp11-{F}(V0,V1) | p105-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #113: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp11-{F}(V0,V1), p106-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #114: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp11-{F}(V0,V1) | p6-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #115: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp11-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #116: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp10-{F}(V0,V1) | p105-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #117: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp10-{F}(V0,V1), p106-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #118: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp10-{F}(V0,V1), p6-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #119: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp10-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #120: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp9-{F}(V0,V1) | p106-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #121: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp9-{F}(V0,V1), p107-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #122: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp9-{F}(V0,V1) | p7-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #123: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp9-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #124: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp8-{F}(V0,V1) | p106-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #125: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp8-{F}(V0,V1), p107-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #126: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp8-{F}(V0,V1), p7-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #127: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp8-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #128: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp7-{F}(V0,V1) | p107-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #129: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp7-{F}(V0,V1), p108-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #130: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp7-{F}(V0,V1) | p8-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #131: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #132: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp6-{F}(V0,V1) | p107-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #133: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp6-{F}(V0,V1), p108-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #134: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp6-{F}(V0,V1), p8-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #135: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp6-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #136: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp5-{F}(V0,V1) | p108-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #137: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp5-{F}(V0,V1), p109-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #138: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp5-{F}(V0,V1) | p9-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #139: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #140: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp4-{F}(V0,V1) | p108-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #141: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp4-{F}(V0,V1), p109-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #142: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp4-{F}(V0,V1), p9-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #143: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp4-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #144: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp3-{F}(V0,V1) | p109-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #145: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp3-{F}(V0,V1), p110-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #146: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp3-{F}(V0,V1) | p10-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #147: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp3-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #148: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp2-{F}(V0,V1) | p109-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #149: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp2-{F}(V0,V1), p110-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #150: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp2-{F}(V0,V1), p10-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #151: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #152: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp1-{F}(V0,V1) | p110-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #153: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp1-{F}(V0,V1), p111-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #154: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp1-{F}(V0,V1) | p11-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #155: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp1-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #156: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp0-{F}(V0,V1) | p110-{T}(V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #157: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp0-{F}(V0,V1), p111-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #158: input, references = 3, size of lhs = 2:
% 2.66/2.94 pppp0-{F}(V0,V1), p11-{F}(V0) | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #159: input, references = 3, size of lhs = 1:
% 2.66/2.94 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 number of initial rules = 160
% 2.66/2.94
% 2.66/2.94 Simplifiers:
% 2.66/2.94 #160: unsound, references = 3, size of lhs = 3:
% 2.66/2.94 pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #161: unsound, references = 3, size of lhs = 3:
% 2.66/2.94 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #162: unsound, references = 3, size of lhs = 3:
% 2.66/2.94 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #163: unsound, references = 3, size of lhs = 3:
% 2.66/2.94 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #164: unsound, references = 3, size of lhs = 3:
% 2.66/2.94 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #165: unsound, references = 3, size of lhs = 3:
% 2.66/2.94 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #166: unsound, references = 3, size of lhs = 3:
% 2.66/2.94 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #167: unsound, references = 3, size of lhs = 3:
% 2.66/2.94 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #168: unsound, references = 3, size of lhs = 3:
% 2.66/2.94 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #169: unsound, references = 3, size of lhs = 3:
% 2.66/2.94 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #170: unsound, references = 3, size of lhs = 3:
% 2.66/2.94 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.94 (used 0 times, uses = {})
% 2.66/2.94
% 2.66/2.94 #171: unsound, references = 3, size of lhs = 3:
% 2.66/2.94 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #172: unsound, references = 3, size of lhs = 3:
% 2.66/2.95 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #173: unsound, references = 3, size of lhs = 3:
% 2.66/2.95 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #174: unsound, references = 3, size of lhs = 3:
% 2.66/2.95 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #175: unsound, references = 3, size of lhs = 3:
% 2.66/2.95 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #176: unsound, references = 3, size of lhs = 3:
% 2.66/2.95 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #177: unsound, references = 3, size of lhs = 3:
% 2.66/2.95 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #178: unsound, references = 3, size of lhs = 3:
% 2.66/2.95 pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #179: unsound, references = 3, size of lhs = 3:
% 2.66/2.95 pppp19-{F}(V0,V1), pppp19-{F}(V2,V1), V0 == V2 | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #180: unsound, references = 3, size of lhs = 3:
% 2.66/2.95 pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 number of simplifiers = 21
% 2.66/2.95
% 2.66/2.95 Learnt:
% 2.66/2.95 #182: disj( #40, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p100-{F}(V0), pppp21-{F}(V0) | pppp22-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #184: disj( #42, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p100-{F}(V0), pppp21-{F}(V0) | pppp23-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #186: disj( #44, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p101-{F}(V0), pppp19-{F}(V0,V1) | pppp24-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #188: disj( #46, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p101-{F}(V0), pppp19-{F}(V0,V1) | pppp25-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #190: disj( #44, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p101-{F}(V0), pppp18-{F}(V0,V1) | pppp24-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #192: disj( #46, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p101-{F}(V0), pppp18-{F}(V0,V1) | pppp25-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #197: disj( #48, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p102-{F}(V0), pppp17-{F}(V0,V1) | pppp26-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #216: disj( #50, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p102-{F}(V0), pppp17-{F}(V0,V1) | pppp27-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #236: disj( #48, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p102-{F}(V0), pppp16-{F}(V0,V1) | pppp26-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #279: disj( #50, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p102-{F}(V0), pppp16-{F}(V0,V1) | pppp27-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #370: disj( #52, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p103-{F}(V0), pppp15-{F}(V0,V1) | pppp28-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #439: disj( #52, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p103-{F}(V0), pppp14-{F}(V0,V1) | pppp28-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #493: disj( #54, input ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp20-{F}(V0), p103-{F}(V0), pppp15-{F}(V0,V1) | pppp29-{T}(V0)
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #591: exists( #55, #589 ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp29-{F}(V0), pppp21-{F}(V1), r1-{F}(V1,V0) | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #598: exists( #49, #596 ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp26-{F}(V0), pppp21-{F}(V1), r1-{F}(V1,V0) | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #605: exists( #45, #603 ), references = 1, size of lhs = 3:
% 2.66/2.95 pppp24-{F}(V0), pppp21-{F}(V1), r1-{F}(V1,V0) | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #611: exists( #41, #609 ), references = 1, size of lhs = 2:
% 2.66/2.95 pppp22-{F}(V0), pppp21-{F}(V0) | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 #617: exists( #2, #615 ), references = 1, size of lhs = 0:
% 2.66/2.95 FALSE | FALSE
% 2.66/2.95 (used 0 times, uses = {})
% 2.66/2.95
% 2.66/2.95 number of learnt formulas = 18
% 2.66/2.95
% 2.66/2.95
% 2.66/2.95 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/2.95
% 2.66/2.95 randbase = 1
%------------------------------------------------------------------------------