TSTP Solution File: COM017+4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM017+4 : 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 05:59:18 EDT 2022
% Result : Theorem 0.69s 0.88s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COM017+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 17:01:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/0.88 GeoParameters:
% 0.69/0.88
% 0.69/0.88 tptp_input = 1
% 0.69/0.88 tptp_output = 0
% 0.69/0.88 nonempty = 1
% 0.69/0.88 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.88 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.69/0.88
% 0.69/0.88
% 0.69/0.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.88 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.88
% 0.69/0.88 RuleSystem INPUT:
% 0.69/0.88
% 0.69/0.88 Initial Rules:
% 0.69/0.88 #0: input, references = 3, size of lhs = 3:
% 0.69/0.88 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #1: input, references = 3, size of lhs = 4:
% 0.69/0.88 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #2: input, references = 3, size of lhs = 4:
% 0.69/0.88 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #3: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp38-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #4: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp38-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #5: input, references = 3, size of lhs = 1:
% 0.69/0.88 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #6: input, references = 3, size of lhs = 3:
% 0.69/0.88 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #7: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #8: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #9: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #10: input, references = 3, size of lhs = 6:
% 0.69/0.88 aElement0-{F}(V0), aElement0-{F}(V1), aRewritingSystem0-{F}(V2), sdtmndtplgtdt0-{F}(V1,V2,V0), aElement0-{F}(V3), sdtmndtplgtdt0-{F}(V3,V2,V1) | sdtmndtplgtdt0-{T}(V3,V2,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #11: input, references = 3, size of lhs = 4:
% 0.69/0.88 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #12: input, references = 3, size of lhs = 4:
% 0.69/0.88 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #13: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #14: input, references = 3, size of lhs = 2:
% 0.69/0.88 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #15: input, references = 3, size of lhs = 1:
% 0.69/0.88 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #16: input, references = 3, size of lhs = 6:
% 0.69/0.88 aElement0-{F}(V0), aElement0-{F}(V1), aRewritingSystem0-{F}(V2), sdtmndtasgtdt0-{F}(V1,V2,V0), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V2,V1) | sdtmndtasgtdt0-{T}(V3,V2,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #17: input, references = 3, size of lhs = 2:
% 0.69/0.88 aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #18: input, references = 3, size of lhs = 2:
% 0.69/0.88 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #19: input, references = 3, size of lhs = 6:
% 0.69/0.88 pppp2-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V4,V0,V2), sdtmndtasgtdt0-{F}(V4,V0,V1) | EXISTS V3: pppp7-{T}(V0,V2,V1,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #20: input, references = 3, size of lhs = 1:
% 0.69/0.88 #-{F} V0 | pppp2-{T}(V0), pppp39-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #21: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp39-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #22: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #23: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #24: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #25: input, references = 3, size of lhs = 4:
% 0.69/0.88 pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #26: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #27: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #28: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #29: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #30: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #31: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #32: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #33: input, references = 4, size of lhs = 2:
% 0.69/0.88 aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #34: input, references = 3, size of lhs = 2:
% 0.69/0.88 aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #35: input, references = 4, size of lhs = 6:
% 0.69/0.88 pppp3-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V4), aReductOfIn0-{F}(V2,V4,V0), aReductOfIn0-{F}(V1,V4,V0) | EXISTS V3: pppp11-{T}(V0,V2,V1,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #36: input, references = 3, size of lhs = 1:
% 0.69/0.88 #-{F} V0 | pppp3-{T}(V0), pppp40-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #37: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp40-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #38: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #39: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #40: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #41: input, references = 3, size of lhs = 4:
% 0.69/0.88 pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #42: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #43: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #44: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #45: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #46: input, references = 4, size of lhs = 1:
% 0.69/0.88 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #47: input, references = 4, size of lhs = 1:
% 0.69/0.88 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #48: input, references = 4, size of lhs = 1:
% 0.69/0.88 pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #49: input, references = 3, size of lhs = 2:
% 0.69/0.88 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #50: input, references = 3, size of lhs = 2:
% 0.69/0.88 aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #51: input, references = 3, size of lhs = 4:
% 0.69/0.88 pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #52: input, references = 3, size of lhs = 1:
% 0.69/0.88 #-{F} V0 | pppp4-{T}(V0), pppp41-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #53: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp41-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #54: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #55: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #56: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #57: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #58: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #59: input, references = 3, size of lhs = 3:
% 0.69/0.88 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #60: input, references = 3, size of lhs = 3:
% 0.69/0.88 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #61: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #62: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #63: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #64: input, references = 4, size of lhs = 2:
% 0.69/0.88 aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp42-{T}(V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #65: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp42-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #66: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #67: input, references = 3, size of lhs = 3:
% 0.69/0.88 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #68: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #69: input, references = 4, size of lhs = 1:
% 0.69/0.88 P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #70: input, references = 4, size of lhs = 1:
% 0.69/0.88 P_xR-{F}(V0) | pppp23-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #71: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp23-{F}(V0) | isTerminating0-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #72: input, references = 3, size of lhs = 4:
% 0.69/0.88 pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #73: input, references = 3, size of lhs = 6:
% 0.69/0.88 pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), sdtmndtplgtdt0-{F}(V3,V0,V1) | iLess0-{T}(V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #74: input, references = 3, size of lhs = 4:
% 0.69/0.88 pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V1,V2,V0) | iLess0-{T}(V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #75: input, references = 4, size of lhs = 1:
% 0.69/0.88 pppp23-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #76: input, references = 3, size of lhs = 6:
% 0.69/0.88 pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V4), aReductOfIn0-{F}(V2,V4,V0), aReductOfIn0-{F}(V1,V4,V0) | EXISTS V3: pppp22-{T}(V2,V1,V0,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #77: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp22-{F}(V0,V1,V2,V3) | pppp21-{T}(V0,V1,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #78: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp21-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #79: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp21-{F}(V0,V1,V2,V3), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #80: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp21-{F}(V0,V1,V2,V3), V1 == V2 | aReductOfIn0-{T}(V2,V1,V3), pppp43-{T}(V1,V2,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #81: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp43-{F}(V0,V1,V2) | EXISTS V3: pppp20-{T}(V0,V1,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #82: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp21-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #83: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp21-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #84: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp21-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V3), pppp44-{T}(V0,V2,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #85: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp44-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V0,V1,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #86: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp21-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #87: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp20-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #88: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp20-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #89: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp20-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #90: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp19-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #91: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp19-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #92: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #93: input, references = 4, size of lhs = 4:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #94: input, references = 3, size of lhs = 4:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #95: input, references = 3, size of lhs = 4:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #96: input, references = 4, size of lhs = 8:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), iLess0-{F}(V4,V1), aElement0-{F}(V5), aElement0-{F}(V6) | pppp29-{T}(V4,V5,V0), pppp28-{T}(V4,V6,V0), pppp45-{T}(V6,V5,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #97: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp45-{F}(V0,V1,V2) | EXISTS V3: pppp27-{T}(V0,V1,V2,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #98: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp29-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #99: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp29-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #100: input, references = 3, size of lhs = 4:
% 0.69/0.88 pppp29-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #101: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp29-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #102: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp29-{F}(V1,V1,V2) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #103: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp28-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #104: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp28-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #105: input, references = 3, size of lhs = 4:
% 0.69/0.88 pppp28-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #106: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp28-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #107: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp28-{F}(V1,V1,V2) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #108: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp27-{F}(V0,V1,V2,V3) | pppp26-{T}(V0,V1,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #109: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp26-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #110: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp26-{F}(V0,V1,V2,V3), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #111: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp26-{F}(V0,V1,V2,V3), V1 == V2 | aReductOfIn0-{T}(V2,V1,V3), pppp46-{T}(V1,V2,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #112: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp46-{F}(V0,V1,V2) | EXISTS V3: pppp25-{T}(V0,V1,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #113: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp26-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #114: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp26-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #115: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp26-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V3), pppp47-{T}(V0,V2,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #116: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp47-{F}(V0,V1,V2) | EXISTS V3: pppp24-{T}(V0,V1,V3,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #117: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp26-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #118: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp25-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #119: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp25-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #120: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp25-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #121: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp24-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #122: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp24-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #123: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp24-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #124: input, references = 3, size of lhs = 4:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aReductOfIn0-{T}(V2,V1,V0), pppp48-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #125: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp48-{F}(V0,V1,V2) | EXISTS V3: pppp30-{T}(V3,V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #126: input, references = 3, size of lhs = 4:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #127: input, references = 3, size of lhs = 4:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aReductOfIn0-{T}(V3,V1,V0), pppp49-{T}(V0,V1,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #128: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp49-{F}(V0,V1,V2) | EXISTS V3: pppp31-{T}(V3,V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #129: input, references = 3, size of lhs = 4:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #130: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp31-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #131: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp31-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #132: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp31-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #133: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp30-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #134: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp30-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #135: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp30-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #136: input, references = 5, size of lhs = 5:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4) | pppp33-{T}(V0,V1,V2,V4)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #137: input, references = 4, size of lhs = 1:
% 0.69/0.88 pppp33-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V3,V0,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #138: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp33-{F}(V0,V1,V2,V3), V3 == V2 | sdtmndtplgtdt0-{T}(V3,V0,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #139: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp33-{F}(V0,V1,V2,V3), V3 == V2 | aReductOfIn0-{T}(V2,V3,V0), pppp50-{T}(V0,V2,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #140: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp50-{F}(V0,V1,V2) | EXISTS V3: pppp32-{T}(V3,V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #141: input, references = 4, size of lhs = 1:
% 0.69/0.88 pppp33-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #142: input, references = 4, size of lhs = 1:
% 0.69/0.88 pppp33-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #143: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp32-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #144: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp32-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V3,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #145: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp32-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #146: input, references = 6, size of lhs = 6:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5) | pppp35-{T}(V0,V1,V3,V5)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #147: input, references = 5, size of lhs = 1:
% 0.69/0.88 pppp35-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V3,V0,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #148: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp35-{F}(V0,V1,V2,V3), V3 == V2 | sdtmndtplgtdt0-{T}(V3,V0,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #149: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp35-{F}(V0,V1,V2,V3), V3 == V2 | aReductOfIn0-{T}(V2,V3,V0), pppp51-{T}(V0,V2,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #150: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp51-{F}(V0,V1,V2) | EXISTS V3: pppp34-{T}(V3,V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #151: input, references = 4, size of lhs = 1:
% 0.69/0.88 pppp35-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #152: input, references = 4, size of lhs = 1:
% 0.69/0.88 pppp35-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #153: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp34-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #154: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp34-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V3,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #155: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp34-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #156: input, references = 4, size of lhs = 7:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5), aElement0-{F}(V6) | pppp36-{T}(V6,V0,V4), pppp37-{T}(V6,V0,V5)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #157: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp37-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #158: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp37-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #159: input, references = 3, size of lhs = 4:
% 0.69/0.88 pppp37-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V1), sdtmndtplgtdt0-{F}(V3,V1,V0) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #160: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp37-{F}(V0,V1,V2), aReductOfIn0-{F}(V0,V2,V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #161: input, references = 3, size of lhs = 1:
% 0.69/0.88 pppp37-{F}(V0,V1,V0) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #162: input, references = 5, size of lhs = 2:
% 0.69/0.88 pppp36-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #163: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp36-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #164: input, references = 3, size of lhs = 4:
% 0.69/0.88 pppp36-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V1), sdtmndtplgtdt0-{F}(V3,V1,V0) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #165: input, references = 3, size of lhs = 2:
% 0.69/0.88 pppp36-{F}(V0,V1,V2), aReductOfIn0-{F}(V0,V2,V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #166: input, references = 4, size of lhs = 1:
% 0.69/0.88 pppp36-{F}(V0,V1,V0) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #167: input, references = 4, size of lhs = 0:
% 0.69/0.88 FALSE | EXISTS V0: P_xR-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #168: input, references = 4, size of lhs = 0:
% 0.69/0.88 FALSE | EXISTS V0: P_xa-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #169: input, references = 4, size of lhs = 0:
% 0.69/0.88 FALSE | EXISTS V0: P_xb-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #170: input, references = 4, size of lhs = 0:
% 0.69/0.88 FALSE | EXISTS V0: P_xc-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #171: input, references = 5, size of lhs = 0:
% 0.69/0.88 FALSE | EXISTS V0: P_xu-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #172: input, references = 5, size of lhs = 0:
% 0.69/0.88 FALSE | EXISTS V0: P_xv-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 number of initial rules = 173
% 0.69/0.88
% 0.69/0.88 Simplifiers:
% 0.69/0.88 #173: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #174: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #175: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #176: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #177: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #178: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #179: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #180: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 P_xb-{F}(V0), P_xb-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #181: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 P_xc-{F}(V0), P_xc-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #182: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 P_xu-{F}(V0), P_xu-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #183: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 P_xv-{F}(V0), P_xv-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #184: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #185: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #186: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #187: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #188: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #189: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #190: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #191: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #192: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #193: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #194: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #195: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #196: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #197: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #198: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #199: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #200: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #201: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #202: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #203: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #204: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #205: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #206: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #207: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #208: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #209: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #210: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #211: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #212: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #213: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #214: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #215: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #216: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp25-{F}(V0,V1,V2,V3), pppp25-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #217: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp25-{F}(V0,V1,V2,V3), pppp25-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #218: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #219: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #220: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #221: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #222: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp28-{F}(V0,V1,V2), pppp28-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #223: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp29-{F}(V0,V1,V2), pppp29-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #224: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #225: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #226: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #227: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #228: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #229: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #230: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #231: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #232: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #233: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #234: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #235: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #236: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp33-{F}(V0,V1,V2,V3), pppp33-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #237: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp33-{F}(V0,V1,V2,V3), pppp33-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #238: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp33-{F}(V0,V1,V2,V3), pppp33-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #239: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp33-{F}(V0,V1,V2,V3), pppp33-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #240: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #241: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #242: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #243: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #244: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #245: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #246: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #247: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #248: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp36-{F}(V0,V1,V2), pppp36-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #249: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp36-{F}(V0,V1,V2), pppp36-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #250: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp37-{F}(V0,V1,V2), pppp37-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #251: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp37-{F}(V0,V1,V2), pppp37-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #252: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp43-{F}(V0,V1,V2), pppp43-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #253: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp44-{F}(V0,V1,V2), pppp44-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #254: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp45-{F}(V0,V1,V2), pppp45-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #255: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp46-{F}(V0,V1,V2), pppp46-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #256: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp47-{F}(V0,V1,V2), pppp47-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #257: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp48-{F}(V0,V1,V2), pppp48-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #258: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp48-{F}(V0,V1,V2), pppp48-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #259: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp48-{F}(V0,V1,V2), pppp48-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #260: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp49-{F}(V0,V1,V2), pppp49-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #261: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp49-{F}(V0,V1,V2), pppp49-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #262: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp49-{F}(V0,V1,V2), pppp49-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #263: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp50-{F}(V0,V1,V2), pppp50-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #264: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp50-{F}(V0,V1,V2), pppp50-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #265: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp50-{F}(V0,V1,V2), pppp50-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #266: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp51-{F}(V0,V1,V2), pppp51-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #267: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp51-{F}(V0,V1,V2), pppp51-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #268: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp51-{F}(V0,V1,V2), pppp51-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 number of simplifiers = 96
% 0.69/0.88
% 0.69/0.88 Learnt:
% 0.69/0.88 #281: disj( #156, input ), references = 1, size of lhs = 7:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5), aElement0-{F}(V5) | pppp36-{T}(V5,V0,V4)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #282: disj( #156, input ), references = 4, size of lhs = 8:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5), aElement0-{F}(V6), sdtmndtasgtdt0-{F}(V5,V0,V6) | pppp36-{T}(V6,V0,V4)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #283: disj( #156, input ), references = 1, size of lhs = 8:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5), aElement0-{F}(V6), sdtmndtplgtdt0-{F}(V5,V0,V6) | pppp36-{T}(V6,V0,V4)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #298: mergings( V1 == V6, V2 == V7, V3 == V8, V8 == V4; #292 ), references = 1, size of lhs = 6:
% 0.69/0.88 aElement0-{F}(V0), P_xu-{F}(V0), P_xc-{F}(V0), P_xR-{F}(V1), P_xa-{F}(V2), P_xb-{F}(V3) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #303: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V9; #293 ), references = 2, size of lhs = 7:
% 0.69/0.88 aElement0-{F}(V0), P_xc-{F}(V0), P_xR-{F}(V1), P_xa-{F}(V2), P_xb-{F}(V3), P_xu-{F}(V4), sdtmndtasgtdt0-{F}(V4,V1,V0) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #310: mergings( V1 == V5, V2 == V6, V6 == V3; #306 ), references = 1, size of lhs = 5:
% 0.69/0.88 aElement0-{F}(V0), P_xc-{F}(V0), P_xb-{F}(V0), P_xR-{F}(V1), P_xa-{F}(V2) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #343: disj( #96, input, input ), references = 1, size of lhs = 6:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), iLess0-{F}(V4,V1) | pppp45-{T}(V4,V4,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #344: disj( #96, input, input ), references = 1, size of lhs = 8:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), iLess0-{F}(V4,V1), aElement0-{F}(V5), sdtmndtasgtdt0-{F}(V4,V0,V5) | pppp45-{T}(V5,V4,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #345: disj( #96, input, input ), references = 1, size of lhs = 8:
% 0.69/0.88 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), aElement0-{F}(V5), iLess0-{F}(V5,V1), sdtmndtasgtdt0-{F}(V5,V0,V4) | pppp45-{T}(V5,V4,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #349: disj( #64, input ), references = 1, size of lhs = 3:
% 0.69/0.88 aElement0-{F}(V0), aReductOfIn0-{F}(V1,V0,V2), sdtmndtasgtdt0-{F}(V3,V2,V0) | pppp42-{T}(V2,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #391: exists( #35, #387 ), references = 2, size of lhs = 12:
% 0.69/0.88 pppp3-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), P_xv-{F}(V1), aElement0-{F}(V2), P_xu-{F}(V2), aElement0-{F}(V3), aReductOfIn0-{F}(V2,V3,V0), aReductOfIn0-{F}(V1,V3,V0), P_xa-{F}(V4), P_xb-{F}(V5), P_xc-{F}(V6) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #402: mergings( V1 == V7, V2 == V8, V3 == V9, V4 == V6; #397 ), references = 2, size of lhs = 9:
% 0.69/0.88 aElement0-{F}(V0), P_xa-{F}(V0), pppp3-{F}(V1), P_xR-{F}(V1), aElement0-{F}(V2), P_xu-{F}(V2), aReductOfIn0-{F}(V2,V0,V1), P_xb-{F}(V3), P_xc-{F}(V4) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #411: mergings( V1 == V5, V2 == V6; #408 ), references = 1, size of lhs = 6:
% 0.69/0.88 aElement0-{F}(V0), P_xa-{F}(V0), pppp3-{F}(V1), P_xR-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #417: mergings( V1 == V5, V2 == V3, V3 == V6; #413 ), references = 1, size of lhs = 4:
% 0.69/0.88 P_xa-{F}(V0), pppp3-{F}(V1), P_xR-{F}(V1), P_xb-{F}(V2) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #420: mergings( V1 == V3; #418 ), references = 1, size of lhs = 3:
% 0.69/0.88 P_xa-{F}(V0), pppp3-{F}(V1), P_xR-{F}(V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #423: mergings( V1 == V2; #421 ), references = 1, size of lhs = 2:
% 0.69/0.88 pppp3-{F}(V0), P_xR-{F}(V0) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #429: exists( #167, #427 ), references = 1, size of lhs = 0:
% 0.69/0.88 FALSE | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 number of learnt formulas = 17
% 0.69/0.88
% 0.69/0.88
% 0.69/0.88 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.88
% 0.69/0.88 randbase = 1
%------------------------------------------------------------------------------