%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL656+1.010 : TPTP v9.3.1. Released v4.0.0.
% 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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:06:39 PM UTC 2026
% Result : Theorem 4.65s 5.01s
% Output : Refutation 4.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL656+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % 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 18:52:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 4.65/5.01 GeoParameters:
% 4.65/5.01
% 4.65/5.01 tptp_input = 1
% 4.65/5.01 tptp_output = 0
% 4.65/5.01 nonempty = 1
% 4.65/5.01 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.65/5.01 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.65/5.01
% 4.65/5.01
% 4.65/5.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.65/5.01 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.65/5.01
% 4.65/5.01 RuleSystem INPUT:
% 4.65/5.01
% 4.65/5.01 Initial Rules:
% 4.65/5.01 #0: input, references = 5, size of lhs = 1:
% 4.65/5.01 #-{F} V0 | r1-{T}(V0,V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #1: input, references = 4, size of lhs = 0:
% 4.65/5.01 FALSE | EXISTS V0: pppp21-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #2: input, references = 4, size of lhs = 1:
% 4.65/5.01 pppp21-{F}(V0) | p100-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #3: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp21-{F}(V0), p101-{F}(V0) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #4: input, references = 7, size of lhs = 11:
% 4.65/5.01 pppp21-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), r1-{F}(V6,V7), r1-{F}(V7,V8), r1-{F}(V8,V9), r1-{F}(V9,V10) | pppp20-{T}(V10)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #5: input, references = 4, size of lhs = 11:
% 4.65/5.01 pppp21-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), r1-{F}(V6,V7), r1-{F}(V7,V8), r1-{F}(V8,V9), r1-{F}(V9,V10) | p5-{T}(V10)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #6: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p101-{F}(V0) | p100-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #7: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p102-{F}(V0) | p101-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #8: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p103-{F}(V0) | p102-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #9: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p104-{F}(V0) | p103-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #10: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p105-{F}(V0) | p104-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #11: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p106-{F}(V0) | p105-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #12: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p107-{F}(V0) | p106-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #13: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p108-{F}(V0) | p107-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #14: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p109-{F}(V0) | p108-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #15: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p110-{F}(V0) | p109-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #16: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p111-{F}(V0) | p110-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #17: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p100-{F}(V1), p1-{F}(V0), p100-{F}(V0) | p1-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #18: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p1-{F}(V1), p100-{F}(V1), p100-{F}(V0) | p1-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #19: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p101-{F}(V1), p2-{F}(V0), p101-{F}(V0) | p2-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #20: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), p101-{F}(V1), p101-{F}(V0) | p2-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #21: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p102-{F}(V1), p3-{F}(V0), p102-{F}(V0) | p3-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #22: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p3-{F}(V1), p102-{F}(V1), p102-{F}(V0) | p3-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #23: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p103-{F}(V1), p4-{F}(V0), p103-{F}(V0) | p4-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #24: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p4-{F}(V1), p103-{F}(V1), p103-{F}(V0) | p4-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #25: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p104-{F}(V1), p5-{F}(V0), p104-{F}(V0) | p5-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #26: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p5-{F}(V1), p104-{F}(V1), p104-{F}(V0) | p5-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #27: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p105-{F}(V1), p6-{F}(V0), p105-{F}(V0) | p6-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #28: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p6-{F}(V1), p105-{F}(V1), p105-{F}(V0) | p6-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #29: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p106-{F}(V1), p7-{F}(V0), p106-{F}(V0) | p7-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #30: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p7-{F}(V1), p106-{F}(V1), p106-{F}(V0) | p7-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #31: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p107-{F}(V1), p8-{F}(V0), p107-{F}(V0) | p8-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #32: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p8-{F}(V1), p107-{F}(V1), p107-{F}(V0) | p8-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #33: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p108-{F}(V1), p9-{F}(V0), p108-{F}(V0) | p9-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #34: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p9-{F}(V1), p108-{F}(V1), p108-{F}(V0) | p9-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #35: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p109-{F}(V1), p10-{F}(V0), p109-{F}(V0) | p10-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #36: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p10-{F}(V1), p109-{F}(V1), p109-{F}(V0) | p10-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #37: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p110-{F}(V1), p11-{F}(V0), p110-{F}(V0) | p11-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #38: input, references = 3, size of lhs = 5:
% 4.65/5.01 pppp20-{F}(V0), r1-{F}(V0,V1), p11-{F}(V1), p110-{F}(V1), p110-{F}(V0) | p11-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #39: input, references = 4, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p100-{F}(V0) | pppp22-{T}(V0), p101-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #40: input, references = 4, size of lhs = 1:
% 4.65/5.01 pppp22-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #41: input, references = 4, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p100-{F}(V0) | pppp23-{T}(V0), p101-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #42: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp23-{F}(V0) | EXISTS V1: pppp18-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #43: input, references = 5, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p101-{F}(V0) | pppp24-{T}(V0), p102-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #44: input, references = 4, size of lhs = 1:
% 4.65/5.01 pppp24-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #45: input, references = 5, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p101-{F}(V0) | pppp25-{T}(V0), p102-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #46: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp25-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #47: input, references = 5, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p102-{F}(V0) | pppp26-{T}(V0), p103-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #48: input, references = 4, size of lhs = 1:
% 4.65/5.01 pppp26-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #49: input, references = 5, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p102-{F}(V0) | pppp27-{T}(V0), p103-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #50: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp27-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #51: input, references = 5, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p103-{F}(V0) | pppp28-{T}(V0), p104-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #52: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp28-{F}(V0) | EXISTS V1: pppp13-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #53: input, references = 4, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p103-{F}(V0) | pppp29-{T}(V0), p104-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #54: input, references = 4, size of lhs = 1:
% 4.65/5.01 pppp29-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #55: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p104-{F}(V0) | pppp30-{T}(V0), p105-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #56: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp30-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #57: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p104-{F}(V0) | pppp31-{T}(V0), p105-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #58: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp31-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #59: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p105-{F}(V0) | pppp32-{T}(V0), p106-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #60: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp32-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #61: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p105-{F}(V0) | pppp33-{T}(V0), p106-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #62: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp33-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #63: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p106-{F}(V0) | pppp34-{T}(V0), p107-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #64: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp34-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #65: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p106-{F}(V0) | pppp35-{T}(V0), p107-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #66: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp35-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #67: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p107-{F}(V0) | pppp36-{T}(V0), p108-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #68: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp36-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #69: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p107-{F}(V0) | pppp37-{T}(V0), p108-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #70: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp37-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #71: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p108-{F}(V0) | pppp38-{T}(V0), p109-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #72: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp38-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #73: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p108-{F}(V0) | pppp39-{T}(V0), p109-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #74: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp39-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #75: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p109-{F}(V0) | pppp40-{T}(V0), p110-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #76: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp40-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #77: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp20-{F}(V0), p109-{F}(V0) | pppp41-{T}(V0), p110-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #78: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp41-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #79: input, references = 4, size of lhs = 1:
% 4.65/5.01 pppp19-{F}(V0,V1) | p101-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #80: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp19-{F}(V0,V1), p102-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #81: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp19-{F}(V0,V1) | p2-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #82: input, references = 4, size of lhs = 1:
% 4.65/5.01 pppp19-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #83: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp18-{F}(V0,V1) | p101-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #84: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp18-{F}(V0,V1), p102-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #85: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp18-{F}(V0,V1), p2-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #86: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp18-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #87: input, references = 4, size of lhs = 1:
% 4.65/5.01 pppp17-{F}(V0,V1) | p102-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #88: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp17-{F}(V0,V1), p103-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #89: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp17-{F}(V0,V1) | p3-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #90: input, references = 4, size of lhs = 1:
% 4.65/5.01 pppp17-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #91: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp16-{F}(V0,V1) | p102-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #92: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp16-{F}(V0,V1), p103-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #93: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp16-{F}(V0,V1), p3-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #94: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp16-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #95: input, references = 4, size of lhs = 1:
% 4.65/5.01 pppp15-{F}(V0,V1) | p103-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #96: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp15-{F}(V0,V1), p104-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #97: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp15-{F}(V0,V1) | p4-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #98: input, references = 4, size of lhs = 1:
% 4.65/5.01 pppp15-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #99: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp14-{F}(V0,V1) | p103-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #100: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp14-{F}(V0,V1), p104-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #101: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp14-{F}(V0,V1), p4-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #102: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp14-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #103: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp13-{F}(V0,V1) | p104-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #104: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp13-{F}(V0,V1), p105-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #105: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp13-{F}(V0,V1) | p5-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #106: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp13-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #107: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp12-{F}(V0,V1) | p104-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #108: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp12-{F}(V0,V1), p105-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #109: input, references = 4, size of lhs = 2:
% 4.65/5.01 pppp12-{F}(V0,V1), p5-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #110: input, references = 4, size of lhs = 1:
% 4.65/5.01 pppp12-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #111: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp11-{F}(V0,V1) | p105-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #112: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp11-{F}(V0,V1), p106-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #113: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp11-{F}(V0,V1) | p6-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #114: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp11-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #115: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp10-{F}(V0,V1) | p105-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #116: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp10-{F}(V0,V1), p106-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #117: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp10-{F}(V0,V1), p6-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #118: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp10-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #119: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp9-{F}(V0,V1) | p106-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #120: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp9-{F}(V0,V1), p107-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #121: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp9-{F}(V0,V1) | p7-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #122: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp9-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #123: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp8-{F}(V0,V1) | p106-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #124: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp8-{F}(V0,V1), p107-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #125: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp8-{F}(V0,V1), p7-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #126: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp8-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #127: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp7-{F}(V0,V1) | p107-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #128: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp7-{F}(V0,V1), p108-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #129: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp7-{F}(V0,V1) | p8-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #130: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp7-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #131: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp6-{F}(V0,V1) | p107-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #132: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp6-{F}(V0,V1), p108-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #133: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp6-{F}(V0,V1), p8-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #134: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp6-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #135: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp5-{F}(V0,V1) | p108-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #136: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp5-{F}(V0,V1), p109-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #137: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp5-{F}(V0,V1) | p9-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #138: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp5-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #139: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp4-{F}(V0,V1) | p108-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #140: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp4-{F}(V0,V1), p109-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #141: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp4-{F}(V0,V1), p9-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #142: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp4-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #143: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp3-{F}(V0,V1) | p109-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #144: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp3-{F}(V0,V1), p110-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #145: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp3-{F}(V0,V1) | p10-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #146: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #147: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp2-{F}(V0,V1) | p109-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #148: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp2-{F}(V0,V1), p110-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #149: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp2-{F}(V0,V1), p10-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #150: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp2-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #151: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp1-{F}(V0,V1) | p110-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #152: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp1-{F}(V0,V1), p111-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #153: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp1-{F}(V0,V1) | p11-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #154: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #155: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp0-{F}(V0,V1) | p110-{T}(V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #156: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp0-{F}(V0,V1), p111-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #157: input, references = 3, size of lhs = 2:
% 4.65/5.01 pppp0-{F}(V0,V1), p11-{F}(V1) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #158: input, references = 3, size of lhs = 1:
% 4.65/5.01 pppp0-{F}(V0,V1) | r1-{T}(V0,V1)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 number of initial rules = 159
% 4.65/5.01
% 4.65/5.01 Simplifiers:
% 4.65/5.01 #159: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #160: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #161: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #162: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #163: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #164: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #165: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #166: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #167: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #168: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #169: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #170: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #171: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #172: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #173: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #174: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #175: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #176: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #177: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #178: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #179: unsound, references = 3, size of lhs = 3:
% 4.65/5.01 pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 number of simplifiers = 21
% 4.65/5.01
% 4.65/5.01 Learnt:
% 4.65/5.01 #181: disj( #39, input ), references = 1, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p100-{F}(V0), pppp21-{F}(V0) | pppp22-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #183: disj( #41, input ), references = 1, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p100-{F}(V0), pppp21-{F}(V0) | pppp23-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #185: disj( #43, input ), references = 2, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p101-{F}(V0), pppp19-{F}(V1,V0) | pppp24-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #187: disj( #45, input ), references = 1, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p101-{F}(V0), pppp19-{F}(V1,V0) | pppp25-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #189: disj( #43, input ), references = 1, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p101-{F}(V0), pppp18-{F}(V1,V0) | pppp24-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #191: disj( #45, input ), references = 1, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p101-{F}(V0), pppp18-{F}(V1,V0) | pppp25-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #196: disj( #47, input ), references = 1, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p102-{F}(V0), pppp17-{F}(V1,V0) | pppp26-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #212: disj( #49, input ), references = 1, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p102-{F}(V0), pppp17-{F}(V1,V0) | pppp27-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #228: disj( #47, input ), references = 1, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p102-{F}(V0), pppp16-{F}(V1,V0) | pppp26-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #270: disj( #49, input ), references = 1, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p102-{F}(V0), pppp16-{F}(V1,V0) | pppp27-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #364: disj( #51, input ), references = 1, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p103-{F}(V0), pppp15-{F}(V1,V0) | pppp28-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #444: disj( #51, input ), references = 1, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p103-{F}(V0), pppp14-{F}(V1,V0) | pppp28-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #502: disj( #53, input ), references = 1, size of lhs = 3:
% 4.65/5.01 pppp20-{F}(V0), p103-{F}(V0), pppp15-{F}(V1,V0) | pppp29-{T}(V0)
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #603: exists( #54, #601 ), references = 1, size of lhs = 11:
% 4.65/5.01 pppp29-{F}(V0), pppp21-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), r1-{F}(V6,V7), r1-{F}(V7,V8), r1-{F}(V8,V9), r1-{F}(V9,V0) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #610: mergings( V2 == V11; #608 ), references = 1, size of lhs = 19:
% 4.65/5.01 pppp26-{F}(V0), pppp21-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), r1-{F}(V6,V7), r1-{F}(V7,V8), r1-{F}(V8,V9), r1-{F}(V9,V0), r1-{F}(V1,V10), r1-{F}(V10,V11), r1-{F}(V11,V12), r1-{F}(V12,V13), r1-{F}(V13,V14), r1-{F}(V14,V15), r1-{F}(V15,V16), r1-{F}(V16,V0) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #618: mergings( V2 == V11, V11 == V19; #615 ), references = 2, size of lhs = 26:
% 4.65/5.01 pppp24-{F}(V0), pppp21-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), r1-{F}(V6,V7), r1-{F}(V7,V8), r1-{F}(V8,V9), r1-{F}(V9,V0), r1-{F}(V1,V10), r1-{F}(V10,V11), r1-{F}(V11,V12), r1-{F}(V12,V13), r1-{F}(V13,V14), r1-{F}(V14,V15), r1-{F}(V15,V16), r1-{F}(V16,V0), r1-{F}(V1,V17), r1-{F}(V17,V18), r1-{F}(V18,V19), r1-{F}(V19,V20), r1-{F}(V20,V21), r1-{F}(V21,V22), r1-{F}(V22,V0) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #629: exists( #40, #627 ), references = 1, size of lhs = 2:
% 4.65/5.01 pppp22-{F}(V0), pppp21-{F}(V0) | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 #635: exists( #1, #633 ), references = 1, size of lhs = 0:
% 4.65/5.01 FALSE | FALSE
% 4.65/5.01 (used 0 times, uses = {})
% 4.65/5.01
% 4.65/5.01 number of learnt formulas = 18
% 4.65/5.01
% 4.65/5.01
% 4.65/5.01 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.65/5.01
% 4.65/5.01 randbase = 1
%------------------------------------------------------------------------------