TSTP Solution File: LCL656+1.015 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL656+1.015 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:09:40 EDT 2022
% Result : Theorem 106.72s 106.94s
% Output : Refutation 106.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LCL656+1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jul 22 22:54:11 EDT 2022
% 0.11/0.33 % CPUTime :
% 106.72/106.94 GeoParameters:
% 106.72/106.94
% 106.72/106.94 tptp_input = 1
% 106.72/106.94 tptp_output = 0
% 106.72/106.94 nonempty = 1
% 106.72/106.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 106.72/106.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 106.72/106.94
% 106.72/106.94
% 106.72/106.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 106.72/106.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 106.72/106.94
% 106.72/106.94 RuleSystem INPUT:
% 106.72/106.94
% 106.72/106.94 Initial Rules:
% 106.72/106.94 #0: input, references = 5, size of lhs = 1:
% 106.72/106.94 #-{F} V0 | r1-{T}(V0,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #1: input, references = 4, size of lhs = 0:
% 106.72/106.94 FALSE | EXISTS V0: pppp31-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #2: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp31-{F}(V0) | p100-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #3: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp31-{F}(V0), p101-{F}(V0) | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #4: input, references = 9, size of lhs = 16:
% 106.72/106.94 pppp31-{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), r1-{F}(V10,V11), r1-{F}(V11,V12), r1-{F}(V12,V13), r1-{F}(V13,V14), r1-{F}(V14,V15) | pppp30-{T}(V15)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #5: input, references = 4, size of lhs = 16:
% 106.72/106.94 pppp31-{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), r1-{F}(V10,V11), r1-{F}(V11,V12), r1-{F}(V12,V13), r1-{F}(V13,V14), r1-{F}(V14,V15) | p7-{T}(V15)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #6: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p101-{F}(V0) | p100-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #7: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p102-{F}(V0) | p101-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #8: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p103-{F}(V0) | p102-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #9: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p104-{F}(V0) | p103-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #10: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p105-{F}(V0) | p104-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #11: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p106-{F}(V0) | p105-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #12: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p107-{F}(V0) | p106-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #13: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p108-{F}(V0) | p107-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #14: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p109-{F}(V0) | p108-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #15: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p110-{F}(V0) | p109-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #16: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p111-{F}(V0) | p110-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #17: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p112-{F}(V0) | p111-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #18: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p113-{F}(V0) | p112-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #19: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p114-{F}(V0) | p113-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #20: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p115-{F}(V0) | p114-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #21: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p116-{F}(V0) | p115-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #22: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p100-{F}(V1), p1-{F}(V0), p100-{F}(V0) | p1-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #23: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p1-{F}(V1), p100-{F}(V1), p100-{F}(V0) | p1-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #24: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p101-{F}(V1), p2-{F}(V0), p101-{F}(V0) | p2-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #25: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), p101-{F}(V1), p101-{F}(V0) | p2-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #26: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p102-{F}(V1), p3-{F}(V0), p102-{F}(V0) | p3-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #27: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p3-{F}(V1), p102-{F}(V1), p102-{F}(V0) | p3-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #28: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p103-{F}(V1), p4-{F}(V0), p103-{F}(V0) | p4-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #29: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p4-{F}(V1), p103-{F}(V1), p103-{F}(V0) | p4-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #30: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p104-{F}(V1), p5-{F}(V0), p104-{F}(V0) | p5-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #31: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p5-{F}(V1), p104-{F}(V1), p104-{F}(V0) | p5-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #32: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p105-{F}(V1), p6-{F}(V0), p105-{F}(V0) | p6-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #33: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p6-{F}(V1), p105-{F}(V1), p105-{F}(V0) | p6-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #34: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p106-{F}(V1), p7-{F}(V0), p106-{F}(V0) | p7-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #35: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p7-{F}(V1), p106-{F}(V1), p106-{F}(V0) | p7-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #36: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p107-{F}(V1), p8-{F}(V0), p107-{F}(V0) | p8-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #37: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p8-{F}(V1), p107-{F}(V1), p107-{F}(V0) | p8-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #38: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p108-{F}(V1), p9-{F}(V0), p108-{F}(V0) | p9-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #39: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p9-{F}(V1), p108-{F}(V1), p108-{F}(V0) | p9-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #40: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p109-{F}(V1), p10-{F}(V0), p109-{F}(V0) | p10-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #41: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p10-{F}(V1), p109-{F}(V1), p109-{F}(V0) | p10-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #42: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p110-{F}(V1), p11-{F}(V0), p110-{F}(V0) | p11-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #43: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p11-{F}(V1), p110-{F}(V1), p110-{F}(V0) | p11-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #44: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p111-{F}(V1), p12-{F}(V0), p111-{F}(V0) | p12-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #45: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p12-{F}(V1), p111-{F}(V1), p111-{F}(V0) | p12-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #46: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p112-{F}(V1), p13-{F}(V0), p112-{F}(V0) | p13-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #47: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p13-{F}(V1), p112-{F}(V1), p112-{F}(V0) | p13-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #48: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p113-{F}(V1), p14-{F}(V0), p113-{F}(V0) | p14-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #49: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p14-{F}(V1), p113-{F}(V1), p113-{F}(V0) | p14-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #50: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p114-{F}(V1), p15-{F}(V0), p114-{F}(V0) | p15-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #51: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p15-{F}(V1), p114-{F}(V1), p114-{F}(V0) | p15-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #52: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p115-{F}(V1), p16-{F}(V0), p115-{F}(V0) | p16-{T}(V1)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #53: input, references = 3, size of lhs = 5:
% 106.72/106.94 pppp30-{F}(V0), r1-{F}(V0,V1), p16-{F}(V1), p115-{F}(V1), p115-{F}(V0) | p16-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #54: input, references = 4, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p100-{F}(V0) | pppp32-{T}(V0), p101-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #55: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp32-{F}(V0) | EXISTS V1: pppp29-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #56: input, references = 4, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p100-{F}(V0) | pppp33-{T}(V0), p101-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #57: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp33-{F}(V0) | EXISTS V1: pppp28-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #58: input, references = 5, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p101-{F}(V0) | pppp34-{T}(V0), p102-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #59: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp34-{F}(V0) | EXISTS V1: pppp27-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #60: input, references = 5, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p101-{F}(V0) | pppp35-{T}(V0), p102-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #61: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp35-{F}(V0) | EXISTS V1: pppp26-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #62: input, references = 5, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p102-{F}(V0) | pppp36-{T}(V0), p103-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #63: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp36-{F}(V0) | EXISTS V1: pppp25-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #64: input, references = 5, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p102-{F}(V0) | pppp37-{T}(V0), p103-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #65: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp37-{F}(V0) | EXISTS V1: pppp24-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #66: input, references = 5, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p103-{F}(V0) | pppp38-{T}(V0), p104-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #67: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp38-{F}(V0) | EXISTS V1: pppp23-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #68: input, references = 5, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p103-{F}(V0) | pppp39-{T}(V0), p104-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #69: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp39-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #70: input, references = 5, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p104-{F}(V0) | pppp40-{T}(V0), p105-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #71: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp40-{F}(V0) | EXISTS V1: pppp21-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #72: input, references = 5, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p104-{F}(V0) | pppp41-{T}(V0), p105-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #73: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp41-{F}(V0) | EXISTS V1: pppp20-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #74: input, references = 5, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p105-{F}(V0) | pppp42-{T}(V0), p106-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #75: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp42-{F}(V0) | EXISTS V1: pppp19-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #76: input, references = 5, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p105-{F}(V0) | pppp43-{T}(V0), p106-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #77: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp43-{F}(V0) | EXISTS V1: pppp18-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #78: input, references = 4, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p106-{F}(V0) | pppp44-{T}(V0), p107-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #79: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp44-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #80: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p106-{F}(V0) | pppp45-{T}(V0), p107-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #81: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp45-{F}(V0) | EXISTS V1: pppp16-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #82: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p107-{F}(V0) | pppp46-{T}(V0), p108-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #83: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp46-{F}(V0) | EXISTS V1: pppp15-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #84: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p107-{F}(V0) | pppp47-{T}(V0), p108-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #85: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp47-{F}(V0) | EXISTS V1: pppp14-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #86: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p108-{F}(V0) | pppp48-{T}(V0), p109-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #87: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp48-{F}(V0) | EXISTS V1: pppp13-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #88: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p108-{F}(V0) | pppp49-{T}(V0), p109-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #89: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp49-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #90: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p109-{F}(V0) | pppp50-{T}(V0), p110-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #91: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp50-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #92: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p109-{F}(V0) | pppp51-{T}(V0), p110-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #93: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp51-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #94: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p110-{F}(V0) | pppp52-{T}(V0), p111-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #95: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp52-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #96: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p110-{F}(V0) | pppp53-{T}(V0), p111-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #97: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp53-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #98: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p111-{F}(V0) | pppp54-{T}(V0), p112-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #99: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp54-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #100: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p111-{F}(V0) | pppp55-{T}(V0), p112-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #101: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp55-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #102: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p112-{F}(V0) | pppp56-{T}(V0), p113-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #103: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp56-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #104: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p112-{F}(V0) | pppp57-{T}(V0), p113-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #105: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp57-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #106: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p113-{F}(V0) | pppp58-{T}(V0), p114-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #107: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp58-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #108: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p113-{F}(V0) | pppp59-{T}(V0), p114-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #109: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp59-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #110: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p114-{F}(V0) | pppp60-{T}(V0), p115-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #111: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp60-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #112: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp30-{F}(V0), p114-{F}(V0) | pppp61-{T}(V0), p115-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #113: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp61-{F}(V0) | EXISTS V1: pppp0-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #114: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp29-{F}(V0,V1) | p101-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #115: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp29-{F}(V0,V1), p102-{F}(V0) | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #116: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp29-{F}(V0,V1) | p2-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #117: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp29-{F}(V0,V1) | r1-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #118: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp28-{F}(V0,V1) | p101-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #119: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp28-{F}(V0,V1), p102-{F}(V0) | FALSE
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% 106.72/106.94
% 106.72/106.94 #120: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp28-{F}(V0,V1), p2-{F}(V0) | FALSE
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% 106.72/106.94
% 106.72/106.94 #121: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp28-{F}(V0,V1) | r1-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #122: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp27-{F}(V0,V1) | p102-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #123: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp27-{F}(V0,V1), p103-{F}(V0) | FALSE
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% 106.72/106.94
% 106.72/106.94 #124: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp27-{F}(V0,V1) | p3-{T}(V0)
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% 106.72/106.94
% 106.72/106.94 #125: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp27-{F}(V0,V1) | r1-{T}(V1,V0)
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% 106.72/106.94
% 106.72/106.94 #126: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp26-{F}(V0,V1) | p102-{T}(V0)
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% 106.72/106.94
% 106.72/106.94 #127: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp26-{F}(V0,V1), p103-{F}(V0) | FALSE
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% 106.72/106.94 #128: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp26-{F}(V0,V1), p3-{F}(V0) | FALSE
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% 106.72/106.94 #129: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp26-{F}(V0,V1) | r1-{T}(V1,V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #130: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp25-{F}(V0,V1) | p103-{T}(V0)
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% 106.72/106.94
% 106.72/106.94 #131: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp25-{F}(V0,V1), p104-{F}(V0) | FALSE
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% 106.72/106.94 #132: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp25-{F}(V0,V1) | p4-{T}(V0)
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% 106.72/106.94 #133: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp25-{F}(V0,V1) | r1-{T}(V1,V0)
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% 106.72/106.94 #134: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp24-{F}(V0,V1) | p103-{T}(V0)
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% 106.72/106.94 #135: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp24-{F}(V0,V1), p104-{F}(V0) | FALSE
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% 106.72/106.94 #136: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp24-{F}(V0,V1), p4-{F}(V0) | FALSE
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% 106.72/106.94 #137: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp24-{F}(V0,V1) | r1-{T}(V1,V0)
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% 106.72/106.94 #138: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp23-{F}(V0,V1) | p104-{T}(V0)
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% 106.72/106.94 #139: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp23-{F}(V0,V1), p105-{F}(V0) | FALSE
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% 106.72/106.94 #140: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp23-{F}(V0,V1) | p5-{T}(V0)
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% 106.72/106.94 #141: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp23-{F}(V0,V1) | r1-{T}(V1,V0)
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% 106.72/106.94 #142: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp22-{F}(V0,V1) | p104-{T}(V0)
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% 106.72/106.94 #143: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp22-{F}(V0,V1), p105-{F}(V0) | FALSE
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% 106.72/106.94 #144: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp22-{F}(V0,V1), p5-{F}(V0) | FALSE
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% 106.72/106.94 #145: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp22-{F}(V0,V1) | r1-{T}(V1,V0)
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% 106.72/106.94 #146: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp21-{F}(V0,V1) | p105-{T}(V0)
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% 106.72/106.94 #147: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp21-{F}(V0,V1), p106-{F}(V0) | FALSE
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% 106.72/106.94 #148: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp21-{F}(V0,V1) | p6-{T}(V0)
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% 106.72/106.94 #149: input, references = 4, size of lhs = 1:
% 106.72/106.94 pppp21-{F}(V0,V1) | r1-{T}(V1,V0)
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% 106.72/106.94 #150: input, references = 3, size of lhs = 1:
% 106.72/106.94 pppp20-{F}(V0,V1) | p105-{T}(V0)
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% 106.72/106.94 #151: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp20-{F}(V0,V1), p106-{F}(V0) | FALSE
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% 106.72/106.94 #152: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp20-{F}(V0,V1), p6-{F}(V0) | FALSE
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% 106.72/106.94 pppp20-{F}(V0,V1) | r1-{T}(V1,V0)
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% 106.72/106.94 #183: input, references = 3, size of lhs = 2:
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% 106.72/106.94 #184: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp12-{F}(V0,V1), p10-{F}(V0) | FALSE
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% 106.72/106.94 #185: input, references = 3, size of lhs = 1:
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% 106.72/106.94 #186: input, references = 3, size of lhs = 1:
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% 106.72/106.94 #187: input, references = 3, size of lhs = 2:
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% 106.72/106.94 #190: input, references = 3, size of lhs = 1:
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% 106.72/106.94 #191: input, references = 3, size of lhs = 2:
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% 106.72/106.94 #192: input, references = 3, size of lhs = 2:
% 106.72/106.94 pppp10-{F}(V0,V1), p11-{F}(V0) | FALSE
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% 106.72/106.94 #193: input, references = 3, size of lhs = 1:
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% 106.72/106.94 #195: input, references = 3, size of lhs = 2:
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% 106.72/106.94 #200: input, references = 3, size of lhs = 2:
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% 106.72/106.94 #201: input, references = 3, size of lhs = 1:
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% 106.72/106.94 #202: input, references = 3, size of lhs = 1:
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% 106.72/106.94 #203: input, references = 3, size of lhs = 2:
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% 106.72/106.94 #204: input, references = 3, size of lhs = 1:
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% 106.72/106.94 #211: input, references = 3, size of lhs = 2:
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% 106.72/106.94 #212: input, references = 3, size of lhs = 1:
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% 106.72/106.94 #215: input, references = 3, size of lhs = 2:
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% 106.72/106.94 #216: input, references = 3, size of lhs = 2:
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% 106.72/106.94 #219: input, references = 3, size of lhs = 2:
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% 106.72/106.94 #223: input, references = 3, size of lhs = 2:
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% 106.72/106.94 number of initial rules = 234
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% 106.72/106.94 #234: unsound, references = 3, size of lhs = 3:
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% 106.72/106.94 #235: unsound, references = 3, size of lhs = 3:
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% 106.72/106.94 #236: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
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% 106.72/106.94 #237: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
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% 106.72/106.94 #238: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
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% 106.72/106.94 #239: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
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% 106.72/106.94 #240: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
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% 106.72/106.94 #241: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
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% 106.72/106.94 #242: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
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% 106.72/106.94 #243: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #244: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #245: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #246: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #247: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #248: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #249: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #250: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #251: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #252: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #253: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp19-{F}(V0,V1), pppp19-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #254: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #255: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #256: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #257: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #258: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp24-{F}(V0,V1), pppp24-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #259: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp25-{F}(V0,V1), pppp25-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #260: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp26-{F}(V0,V1), pppp26-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #261: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp27-{F}(V0,V1), pppp27-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #262: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp28-{F}(V0,V1), pppp28-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #263: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp29-{F}(V0,V1), pppp29-{F}(V2,V1), V0 == V2 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #264: unsound, references = 3, size of lhs = 3:
% 106.72/106.94 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 number of simplifiers = 31
% 106.72/106.94
% 106.72/106.94 Learnt:
% 106.72/106.94 #266: disj( #54, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p100-{F}(V0), pppp31-{F}(V0) | pppp32-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #268: disj( #56, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p100-{F}(V0), pppp31-{F}(V0) | pppp33-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #270: disj( #58, input ), references = 2, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p101-{F}(V0), pppp29-{F}(V0,V1) | pppp34-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #272: disj( #60, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p101-{F}(V0), pppp29-{F}(V0,V1) | pppp35-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #274: disj( #58, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p101-{F}(V0), pppp28-{F}(V0,V1) | pppp34-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #276: disj( #60, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p101-{F}(V0), pppp28-{F}(V0,V1) | pppp35-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #281: disj( #62, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p102-{F}(V0), pppp27-{F}(V0,V1) | pppp36-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #297: disj( #64, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p102-{F}(V0), pppp27-{F}(V0,V1) | pppp37-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #313: disj( #62, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p102-{F}(V0), pppp26-{F}(V0,V1) | pppp36-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #355: disj( #64, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p102-{F}(V0), pppp26-{F}(V0,V1) | pppp37-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #449: disj( #66, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p103-{F}(V0), pppp25-{F}(V0,V1) | pppp38-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #529: disj( #66, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p103-{F}(V0), pppp24-{F}(V0,V1) | pppp38-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #587: disj( #68, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p103-{F}(V0), pppp25-{F}(V0,V1) | pppp39-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #761: disj( #68, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p103-{F}(V0), pppp24-{F}(V0,V1) | pppp39-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #854: disj( #70, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p104-{F}(V0), pppp23-{F}(V0,V1) | pppp40-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #1151: disj( #72, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p104-{F}(V0), pppp23-{F}(V0,V1) | pppp41-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #1479: disj( #72, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p104-{F}(V0), pppp22-{F}(V0,V1) | pppp41-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #1804: disj( #70, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p104-{F}(V0), pppp22-{F}(V0,V1) | pppp40-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #2429: disj( #74, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p105-{F}(V0), pppp21-{F}(V0,V1) | pppp42-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #3418: disj( #74, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p105-{F}(V0), pppp20-{F}(V0,V1) | pppp42-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #4408: disj( #78, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p106-{F}(V0), pppp19-{F}(V0,V1) | pppp44-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #4445: disj( #76, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p105-{F}(V0), pppp20-{F}(V0,V1) | pppp43-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #5401: disj( #76, input ), references = 1, size of lhs = 3:
% 106.72/106.94 pppp30-{F}(V0), p105-{F}(V0), pppp21-{F}(V0,V1) | pppp43-{T}(V0)
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #6422: exists( #77, #6420 ), references = 1, size of lhs = 16:
% 106.72/106.94 pppp43-{F}(V0), pppp31-{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,V10), r1-{F}(V10,V11), r1-{F}(V11,V12), r1-{F}(V12,V13), r1-{F}(V13,V14), r1-{F}(V14,V0) | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #6429: mergings( V2 == V16; #6427 ), references = 1, size of lhs = 29:
% 106.72/106.94 pppp40-{F}(V0), pppp31-{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,V10), r1-{F}(V10,V11), r1-{F}(V11,V12), r1-{F}(V12,V13), r1-{F}(V13,V14), r1-{F}(V14,V0), r1-{F}(V1,V15), r1-{F}(V15,V16), r1-{F}(V16,V17), r1-{F}(V17,V18), r1-{F}(V18,V19), r1-{F}(V19,V20), r1-{F}(V20,V21), r1-{F}(V21,V22), r1-{F}(V22,V23), r1-{F}(V23,V24), r1-{F}(V24,V25), r1-{F}(V25,V26), r1-{F}(V26,V0) | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #6437: mergings( V2 == V16, V16 == V29; #6434 ), references = 1, size of lhs = 41:
% 106.72/106.94 pppp38-{F}(V0), pppp31-{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,V10), r1-{F}(V10,V11), r1-{F}(V11,V12), r1-{F}(V12,V13), r1-{F}(V13,V14), r1-{F}(V14,V0), r1-{F}(V1,V15), r1-{F}(V15,V16), r1-{F}(V16,V17), r1-{F}(V17,V18), r1-{F}(V18,V19), r1-{F}(V19,V20), r1-{F}(V20,V21), r1-{F}(V21,V22), r1-{F}(V22,V23), r1-{F}(V23,V24), r1-{F}(V24,V25), r1-{F}(V25,V26), r1-{F}(V26,V0), r1-{F}(V1,V27), r1-{F}(V27,V28), r1-{F}(V28,V29), r1-{F}(V29,V30), r1-{F}(V30,V31), r1-{F}(V31,V32), r1-{F}(V32,V33), r1-{F}(V33,V34), r1-{F}(V34,V35), r1-{F}(V35,V36), r1-{F}(V36,V37), r1-{F}(V37,V0) | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #6446: mergings( V2 == V16, V16 == V29, V29 == V41; #6442 ), references = 1, size of lhs = 52:
% 106.72/106.94 pppp36-{F}(V0), pppp31-{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,V10), r1-{F}(V10,V11), r1-{F}(V11,V12), r1-{F}(V12,V13), r1-{F}(V13,V14), r1-{F}(V14,V0), r1-{F}(V1,V15), r1-{F}(V15,V16), r1-{F}(V16,V17), r1-{F}(V17,V18), r1-{F}(V18,V19), r1-{F}(V19,V20), r1-{F}(V20,V21), r1-{F}(V21,V22), r1-{F}(V22,V23), r1-{F}(V23,V24), r1-{F}(V24,V25), r1-{F}(V25,V26), r1-{F}(V26,V0), r1-{F}(V1,V27), r1-{F}(V27,V28), r1-{F}(V28,V29), r1-{F}(V29,V30), r1-{F}(V30,V31), r1-{F}(V31,V32), r1-{F}(V32,V33), r1-{F}(V33,V34), r1-{F}(V34,V35), r1-{F}(V35,V36), r1-{F}(V36,V37), r1-{F}(V37,V0), r1-{F}(V1,V38), r1-{F}(V38,V39), r1-{F}(V39,V40), r1-{F}(V40,V41), r1-{F}(V41,V42), r1-{F}(V42,V43), r1-{F}(V43,V44), r1-{F}(V44,V45), r1-{F}(V45,V46), r1-{F}(V46,V47), r1-{F}(V47,V0) | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #6456: mergings( V2 == V16, V16 == V29, V29 == V41, V41 == V52; #6451 ), references = 2, size of lhs = 62:
% 106.72/106.94 pppp34-{F}(V0), pppp31-{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,V10), r1-{F}(V10,V11), r1-{F}(V11,V12), r1-{F}(V12,V13), r1-{F}(V13,V14), r1-{F}(V14,V0), r1-{F}(V1,V15), r1-{F}(V15,V16), r1-{F}(V16,V17), r1-{F}(V17,V18), r1-{F}(V18,V19), r1-{F}(V19,V20), r1-{F}(V20,V21), r1-{F}(V21,V22), r1-{F}(V22,V23), r1-{F}(V23,V24), r1-{F}(V24,V25), r1-{F}(V25,V26), r1-{F}(V26,V0), r1-{F}(V1,V27), r1-{F}(V27,V28), r1-{F}(V28,V29), r1-{F}(V29,V30), r1-{F}(V30,V31), r1-{F}(V31,V32), r1-{F}(V32,V33), r1-{F}(V33,V34), r1-{F}(V34,V35), r1-{F}(V35,V36), r1-{F}(V36,V37), r1-{F}(V37,V0), r1-{F}(V1,V38), r1-{F}(V38,V39), r1-{F}(V39,V40), r1-{F}(V40,V41), r1-{F}(V41,V42), r1-{F}(V42,V43), r1-{F}(V43,V44), r1-{F}(V44,V45), r1-{F}(V45,V46), r1-{F}(V46,V47), r1-{F}(V47,V0), r1-{F}(V1,V48), r1-{F}(V48,V49), r1-{F}(V49,V50), r1-{F}(V50,V51), r1-{F}(V51,V52), r1-{F}(V52,V53), r1-{F}(V53,V54), r1-{F}(V54,V55), r1-{F}(V55,V56), r1-{F}(V56,V0) | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #6467: exists( #55, #6465 ), references = 1, size of lhs = 2:
% 106.72/106.94 pppp32-{F}(V0), pppp31-{F}(V0) | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 #6473: exists( #1, #6471 ), references = 1, size of lhs = 0:
% 106.72/106.94 FALSE | FALSE
% 106.72/106.94 (used 0 times, uses = {})
% 106.72/106.94
% 106.72/106.94 number of learnt formulas = 30
% 106.72/106.94
% 106.72/106.94
% 106.72/106.94 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 106.72/106.94
% 106.72/106.94 randbase = 1
%------------------------------------------------------------------------------