TSTP Solution File: COM023+4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM023+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 05:59:20 EDT 2022
% Result : Theorem 3.15s 3.34s
% Output : Refutation 3.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM023+4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 17:09:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.15/3.34 GeoParameters:
% 3.15/3.34
% 3.15/3.34 tptp_input = 1
% 3.15/3.34 tptp_output = 0
% 3.15/3.34 nonempty = 1
% 3.15/3.34 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.15/3.34 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.15/3.34
% 3.15/3.34
% 3.15/3.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.15/3.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.15/3.34
% 3.15/3.34 RuleSystem INPUT:
% 3.15/3.34
% 3.15/3.34 Initial Rules:
% 3.15/3.34 #0: input, references = 3, size of lhs = 3:
% 3.15/3.34 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #1: input, references = 5, size of lhs = 4:
% 3.15/3.34 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #2: input, references = 3, size of lhs = 4:
% 3.15/3.34 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #3: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp39-{T}(V0,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #4: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp39-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #5: input, references = 3, size of lhs = 1:
% 3.15/3.34 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #6: input, references = 3, size of lhs = 3:
% 3.15/3.34 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #7: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #8: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #9: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #10: input, references = 3, size of lhs = 6:
% 3.15/3.34 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)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #11: input, references = 4, size of lhs = 4:
% 3.15/3.34 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #12: input, references = 3, size of lhs = 4:
% 3.15/3.34 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #13: input, references = 4, size of lhs = 2:
% 3.15/3.34 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #14: input, references = 3, size of lhs = 2:
% 3.15/3.34 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #15: input, references = 3, size of lhs = 1:
% 3.15/3.34 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #16: input, references = 4, size of lhs = 6:
% 3.15/3.34 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)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #17: input, references = 3, size of lhs = 2:
% 3.15/3.34 aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #18: input, references = 4, size of lhs = 2:
% 3.15/3.34 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #19: input, references = 3, size of lhs = 6:
% 3.15/3.34 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)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #20: input, references = 4, size of lhs = 1:
% 3.15/3.34 #-{F} V0 | pppp2-{T}(V0), pppp40-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #21: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp40-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #22: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #23: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #24: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #25: input, references = 4, size of lhs = 4:
% 3.15/3.34 pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #26: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #27: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #28: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #29: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #30: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #31: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #32: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #33: input, references = 3, size of lhs = 2:
% 3.15/3.34 aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #34: input, references = 3, size of lhs = 2:
% 3.15/3.34 aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #35: input, references = 3, size of lhs = 6:
% 3.15/3.34 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)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #36: input, references = 3, size of lhs = 1:
% 3.15/3.34 #-{F} V0 | pppp3-{T}(V0), pppp41-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #37: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp41-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #38: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #39: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #40: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #41: input, references = 3, size of lhs = 4:
% 3.15/3.34 pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #42: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #43: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #44: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #45: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #46: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #47: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #48: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #49: input, references = 3, size of lhs = 2:
% 3.15/3.34 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #50: input, references = 3, size of lhs = 2:
% 3.15/3.34 aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #51: input, references = 3, size of lhs = 4:
% 3.15/3.34 pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #52: input, references = 3, size of lhs = 1:
% 3.15/3.34 #-{F} V0 | pppp4-{T}(V0), pppp42-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #53: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp42-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #54: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #55: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #56: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #57: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #58: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #59: input, references = 5, size of lhs = 3:
% 3.15/3.34 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #60: input, references = 3, size of lhs = 3:
% 3.15/3.34 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #61: input, references = 5, size of lhs = 1:
% 3.15/3.34 pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #62: input, references = 5, size of lhs = 1:
% 3.15/3.34 pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #63: input, references = 6, size of lhs = 2:
% 3.15/3.34 pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #64: input, references = 5, size of lhs = 2:
% 3.15/3.34 aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp43-{T}(V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #65: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp43-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #66: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #67: input, references = 5, size of lhs = 3:
% 3.15/3.34 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #68: input, references = 5, size of lhs = 1:
% 3.15/3.34 pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #69: input, references = 4, size of lhs = 1:
% 3.15/3.34 P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #70: input, references = 4, size of lhs = 1:
% 3.15/3.34 P_xR-{F}(V0) | pppp23-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #71: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp23-{F}(V0) | isTerminating0-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #72: input, references = 3, size of lhs = 4:
% 3.15/3.34 pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #73: input, references = 3, size of lhs = 6:
% 3.15/3.34 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)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #74: input, references = 3, size of lhs = 4:
% 3.15/3.34 pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V1,V2,V0) | iLess0-{T}(V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #75: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp23-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #76: input, references = 3, size of lhs = 6:
% 3.15/3.34 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)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #77: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp22-{F}(V0,V1,V2,V3) | pppp21-{T}(V0,V1,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #78: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp21-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #79: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp21-{F}(V0,V1,V2,V3), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #80: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp21-{F}(V0,V1,V2,V3), V1 == V2 | aReductOfIn0-{T}(V2,V1,V3), pppp44-{T}(V1,V2,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #81: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp44-{F}(V0,V1,V2) | EXISTS V3: pppp20-{T}(V0,V1,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #82: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp21-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #83: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp21-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #84: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp21-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V3), pppp45-{T}(V0,V2,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #85: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp45-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V0,V1,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #86: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp21-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #87: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp20-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #88: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp20-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #89: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp20-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #90: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp19-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #91: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp19-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #92: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #93: input, references = 5, size of lhs = 4:
% 3.15/3.34 P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3) | pppp46-{T}(V2,V1,V0), pppp28-{T}(V3,V2,V0), pppp29-{T}(V3,V1,V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #94: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp46-{F}(V0,V1,V2) | EXISTS V3: pppp27-{T}(V0,V1,V2,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #95: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp29-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #96: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp29-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #97: input, references = 3, size of lhs = 4:
% 3.15/3.34 pppp29-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #98: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp29-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #99: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp29-{F}(V1,V1,V2) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #100: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp28-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #101: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp28-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #102: input, references = 3, size of lhs = 4:
% 3.15/3.34 pppp28-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #103: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp28-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #104: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp28-{F}(V1,V1,V2) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #105: input, references = 5, size of lhs = 1:
% 3.15/3.34 pppp27-{F}(V0,V1,V2,V3) | pppp26-{T}(V0,V1,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #106: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp26-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #107: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp26-{F}(V0,V1,V2,V3), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #108: input, references = 4, size of lhs = 2:
% 3.15/3.34 pppp26-{F}(V0,V1,V2,V3), V1 == V2 | aReductOfIn0-{T}(V2,V1,V3), pppp47-{T}(V1,V2,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #109: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp47-{F}(V0,V1,V2) | EXISTS V3: pppp25-{T}(V0,V1,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #110: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp26-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #111: input, references = 4, size of lhs = 2:
% 3.15/3.34 pppp26-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #112: input, references = 4, size of lhs = 2:
% 3.15/3.34 pppp26-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V3), pppp48-{T}(V0,V2,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #113: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp48-{F}(V0,V1,V2) | EXISTS V3: pppp24-{T}(V0,V1,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #114: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp26-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #115: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp25-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #116: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp25-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #117: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp25-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #118: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp24-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #119: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp24-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #120: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp24-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #121: input, references = 3, size of lhs = 1:
% 3.15/3.34 P_xR-{F}(V0) | EXISTS V1: pppp38-{T}(V1,V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #122: input, references = 4, size of lhs = 2:
% 3.15/3.34 P_xR-{F}(V0), isConfluent0-{F}(V0) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #123: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp38-{F}(V0,V1) | EXISTS V2: pppp37-{T}(V0,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #124: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp38-{F}(V0,V1) | aElement0-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #125: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp37-{F}(V0,V1,V2) | pppp36-{T}(V2,V0,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #126: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp36-{F}(V0,V1,V2) | EXISTS V3: pppp35-{T}(V0,V1,V2,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #127: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp36-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V2,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #128: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp36-{F}(V0,V1,V2), V0 == V1 | sdtmndtplgtdt0-{T}(V0,V2,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #129: input, references = 5, size of lhs = 2:
% 3.15/3.34 pppp36-{F}(V0,V1,V2), V0 == V1 | aReductOfIn0-{T}(V1,V0,V2), pppp49-{T}(V0,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #130: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp49-{F}(V0,V1,V2) | EXISTS V3: pppp30-{T}(V0,V1,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #131: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp36-{F}(V0,V1,V2) | aElement0-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #132: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp35-{F}(V0,V1,V2,V3) | pppp34-{T}(V0,V3,V1,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #133: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp34-{F}(V0,V1,V2,V3), aElement0-{F}(V4) | pppp32-{T}(V1,V4,V3), pppp33-{T}(V2,V4,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #134: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp34-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #135: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp34-{F}(V0,V1,V2,V3), V0 == V1 | sdtmndtplgtdt0-{T}(V0,V3,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #136: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp34-{F}(V0,V1,V2,V3), V0 == V1 | aReductOfIn0-{T}(V1,V0,V3), pppp50-{T}(V0,V1,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #137: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp50-{F}(V0,V1,V2) | EXISTS V3: pppp31-{T}(V0,V1,V3,V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #138: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp34-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #139: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp33-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #140: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp33-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #141: input, references = 3, size of lhs = 4:
% 3.15/3.34 pppp33-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #142: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp33-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #143: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp33-{F}(V1,V1,V2) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #144: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp32-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #145: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp32-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #146: input, references = 3, size of lhs = 4:
% 3.15/3.34 pppp32-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #147: input, references = 3, size of lhs = 2:
% 3.15/3.34 pppp32-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #148: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp32-{F}(V1,V1,V2) | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #149: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp31-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #150: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp31-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #151: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp31-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #152: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp30-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #153: input, references = 4, size of lhs = 1:
% 3.15/3.34 pppp30-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #154: input, references = 3, size of lhs = 1:
% 3.15/3.34 pppp30-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #155: input, references = 4, size of lhs = 0:
% 3.15/3.34 FALSE | EXISTS V0: P_xR-{T}(V0)
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 number of initial rules = 156
% 3.15/3.34
% 3.15/3.34 Simplifiers:
% 3.15/3.34 #156: unsound, references = 3, size of lhs = 3:
% 3.15/3.34 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #157: unsound, references = 3, size of lhs = 3:
% 3.15/3.34 isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #158: unsound, references = 3, size of lhs = 3:
% 3.15/3.34 isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #159: unsound, references = 3, size of lhs = 3:
% 3.15/3.34 isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #160: unsound, references = 3, size of lhs = 3:
% 3.15/3.34 aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #161: unsound, references = 3, size of lhs = 3:
% 3.15/3.34 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #162: unsound, references = 3, size of lhs = 3:
% 3.15/3.34 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #163: unsound, references = 3, size of lhs = 3:
% 3.15/3.34 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #164: unsound, references = 3, size of lhs = 3:
% 3.15/3.34 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 3.15/3.34 (used 0 times, uses = {})
% 3.15/3.34
% 3.15/3.34 #165: unsound, references = 3, size of lhs = 3:
% 3.15/3.34 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #166: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #167: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #168: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #169: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #170: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #171: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #172: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #173: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #174: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #175: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #176: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #177: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #178: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #179: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #180: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #181: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #182: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #183: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #184: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #185: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #186: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #187: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #188: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #189: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #190: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #191: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #192: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #193: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #194: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp25-{F}(V0,V1,V2,V3), pppp25-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #195: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp25-{F}(V0,V1,V2,V3), pppp25-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #196: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #197: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #198: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #199: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #200: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp28-{F}(V0,V1,V2), pppp28-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #201: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp29-{F}(V0,V1,V2), pppp29-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #202: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #203: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V1,V6,V3), V0 == V4 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #204: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V3), V1 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #205: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #206: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #207: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #208: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp32-{F}(V0,V1,V2), pppp32-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #209: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp33-{F}(V0,V1,V2), pppp33-{F}(V3,V4,V2), V0 == V3 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #210: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp33-{F}(V0,V1,V2), pppp33-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #211: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #212: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V2,V3), V0 == V4 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #213: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V3), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #214: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #215: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #216: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #217: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V2,V7), V1 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #218: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #219: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp36-{F}(V0,V1,V2), pppp36-{F}(V3,V1,V2), V0 == V3 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #220: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp36-{F}(V0,V1,V2), pppp36-{F}(V3,V4,V2), V1 == V4 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #221: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp36-{F}(V0,V1,V2), pppp36-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #222: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp37-{F}(V0,V1,V2), pppp37-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #223: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp37-{F}(V0,V1,V2), pppp37-{F}(V3,V1,V5), V0 == V3 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #224: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp37-{F}(V0,V1,V2), pppp37-{F}(V3,V4,V5), V1 == V4 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #225: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp38-{F}(V0,V1), pppp38-{F}(V2,V1), V0 == V2 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #226: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp38-{F}(V0,V1), pppp38-{F}(V2,V3), V1 == V3 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #227: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp44-{F}(V0,V1,V2), pppp44-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #228: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp45-{F}(V0,V1,V2), pppp45-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #229: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp46-{F}(V0,V1,V2), pppp46-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #230: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp47-{F}(V0,V1,V2), pppp47-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #231: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp48-{F}(V0,V1,V2), pppp48-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #232: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp49-{F}(V0,V1,V2), pppp49-{F}(V3,V1,V2), V0 == V3 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #233: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp49-{F}(V0,V1,V2), pppp49-{F}(V3,V4,V2), V1 == V4 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #234: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp49-{F}(V0,V1,V2), pppp49-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #235: unsound, references = 3, size of lhs = 3:
% 3.15/3.35 pppp50-{F}(V0,V1,V2), pppp50-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 number of simplifiers = 80
% 3.15/3.35
% 3.15/3.35 Learnt:
% 3.15/3.35 #238: disj( #20, #18+#122 ), references = 1, size of lhs = 2:
% 3.15/3.35 aRewritingSystem0-{F}(V0), P_xR-{F}(V0) | pppp40-{T}(V0)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #243: disj( #93, input, input ), references = 1, size of lhs = 2:
% 3.15/3.35 P_xR-{F}(V0), aElement0-{F}(V1) | pppp46-{T}(V1,V1,V0)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #244: disj( #93, input, input ), references = 1, size of lhs = 4:
% 3.15/3.35 P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1) | pppp46-{T}(V2,V1,V0)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #245: disj( #93, input, input ), references = 1, size of lhs = 4:
% 3.15/3.35 P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1) | pppp46-{T}(V1,V2,V0)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #261: exists( #65, #259 ), references = 1, size of lhs = 2:
% 3.15/3.35 pppp43-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #265: disj( #64, exists( #65, #259 ) ), references = 1, size of lhs = 3:
% 3.15/3.35 aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp5-{F}(V3,V2,V0) | pppp5-{T}(V1,V2,V0)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #295: disj( #129, input ), references = 1, size of lhs = 3:
% 3.15/3.35 pppp36-{F}(V0,V1,V2), V0 == V1, pppp5-{F}(V3,V2,V0) | pppp49-{T}(V0,V1,V2)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #326: disj( #3, input ), references = 3, size of lhs = 2:
% 3.15/3.35 pppp5-{F}(V0,V1,V2), pppp0-{F}(V2,V1,V3) | pppp39-{T}(V2,V1,V3)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #350: exists( #130, #348 ), references = 2, size of lhs = 2:
% 3.15/3.35 pppp49-{F}(V0,V1,V2), pppp5-{F}(V3,V2,V0) | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #396: disj( #108, input ), references = 1, size of lhs = 3:
% 3.15/3.35 pppp5-{F}(V0,V1,V2), pppp26-{F}(V3,V2,V4,V1), V2 == V4 | pppp47-{T}(V2,V4,V1)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #449: disj( #112, input ), references = 1, size of lhs = 3:
% 3.15/3.35 pppp5-{F}(V0,V1,V2), pppp26-{F}(V2,V3,V4,V1), V2 == V4 | pppp48-{T}(V2,V4,V1)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #479: disj( #64, #476+#350 ), references = 1, size of lhs = 4:
% 3.15/3.35 aElement0-{F}(V0), pppp36-{F}(V0,V1,V2), V0 == V1, sdtmndtasgtdt0-{F}(V3,V2,V0) | pppp43-{T}(V2,V0)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #522: exists( #4, #520 ), references = 3, size of lhs = 2:
% 3.15/3.35 pppp5-{F}(V0,V1,V2), pppp39-{F}(V2,V1,V3) | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #542: exists( #67, #540 ), references = 1, size of lhs = 5:
% 3.15/3.35 isTerminating0-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V2,V0,V1), pppp5-{F}(V3,V0,V1) | pppp18-{T}(V0,V1,V1)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #572: exists( #94, #570 ), references = 2, size of lhs = 5:
% 3.15/3.35 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp46-{F}(V1,V2,V0), pppp5-{F}(V3,V0,V1), pppp5-{F}(V4,V0,V1) | pppp27-{T}(V1,V2,V0,V1)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #603: disj( #93, input, input ), references = 2, size of lhs = 6:
% 3.15/3.35 P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V0,V2), sdtmndtasgtdt0-{F}(V3,V0,V1) | pppp46-{T}(V2,V1,V0)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #604: disj( #93, input, input ), references = 1, size of lhs = 6:
% 3.15/3.35 P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V0,V1) | pppp46-{T}(V2,V1,V0)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #605: disj( #93, input, input ), references = 1, size of lhs = 6:
% 3.15/3.35 P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), sdtmndtplgtdt0-{F}(V3,V0,V2), sdtmndtasgtdt0-{F}(V3,V0,V1) | pppp46-{T}(V2,V1,V0)
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #622: mergings( V2 == V7; #620 ), references = 2, size of lhs = 9:
% 3.15/3.35 aElement0-{F}(V0), P_xR-{F}(V1), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2), aElement0-{F}(V3), pppp9-{F}(V1,V3,V0), pppp5-{F}(V4,V1,V2), pppp5-{F}(V5,V1,V2) | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #631: exists( #67, #629 ), references = 1, size of lhs = 6:
% 3.15/3.35 isTerminating0-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp9-{F}(V0,V2,V1) | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #634: exists( #22, #632 ), references = 1, size of lhs = 5:
% 3.15/3.35 isTerminating0-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), pppp10-{F}(V0,V1), aElement0-{F}(V1) | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #637: exists( #21, #635 ), references = 1, size of lhs = 4:
% 3.15/3.35 pppp40-{F}(V0), isTerminating0-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0) | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 #643: exists( #155, #641 ), references = 1, size of lhs = 0:
% 3.15/3.35 FALSE | FALSE
% 3.15/3.35 (used 0 times, uses = {})
% 3.15/3.35
% 3.15/3.35 number of learnt formulas = 23
% 3.15/3.35
% 3.15/3.35
% 3.15/3.35 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.15/3.35
% 3.15/3.35 randbase = 1
%------------------------------------------------------------------------------