%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM022+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 7.10s 7.27s
% Output : Refutation 7.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COM022+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 17:14:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.10/7.27 GeoParameters:
% 7.10/7.27
% 7.10/7.27 tptp_input = 1
% 7.10/7.27 tptp_output = 0
% 7.10/7.27 nonempty = 1
% 7.10/7.27 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.10/7.27 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 7.10/7.27
% 7.10/7.27
% 7.10/7.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.10/7.27 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.10/7.27
% 7.10/7.27 RuleSystem INPUT:
% 7.10/7.27
% 7.10/7.27 Initial Rules:
% 7.10/7.27 #0: input, references = 3, size of lhs = 3:
% 7.10/7.27 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1: input, references = 14, size of lhs = 4:
% 7.10/7.27 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #2: input, references = 15, size of lhs = 4:
% 7.10/7.27 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #3: input, references = 8, size of lhs = 1:
% 7.10/7.27 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp24-{T}(V0,V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #4: input, references = 11, size of lhs = 1:
% 7.10/7.27 pppp24-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #5: input, references = 15, size of lhs = 1:
% 7.10/7.27 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #6: input, references = 3, size of lhs = 3:
% 7.10/7.27 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #7: input, references = 15, size of lhs = 1:
% 7.10/7.27 pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #8: input, references = 16, size of lhs = 1:
% 7.10/7.27 pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #9: input, references = 15, size of lhs = 1:
% 7.10/7.27 pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #10: input, references = 4, size of lhs = 6:
% 7.10/7.27 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)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #11: input, references = 15, size of lhs = 4:
% 7.10/7.27 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #12: input, references = 17, size of lhs = 4:
% 7.10/7.27 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #13: input, references = 15, size of lhs = 2:
% 7.10/7.27 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #14: input, references = 6, size of lhs = 2:
% 7.10/7.27 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #15: input, references = 14, size of lhs = 1:
% 7.10/7.27 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #16: input, references = 13, size of lhs = 6:
% 7.10/7.27 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)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #17: input, references = 3, size of lhs = 2:
% 7.10/7.27 aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #18: input, references = 3, size of lhs = 2:
% 7.10/7.27 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #19: input, references = 4, size of lhs = 6:
% 7.10/7.27 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)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #20: input, references = 4, size of lhs = 1:
% 7.10/7.27 #-{F} V0 | pppp2-{T}(V0), pppp25-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #21: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp25-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #22: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #23: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #24: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #25: input, references = 4, size of lhs = 4:
% 7.10/7.27 pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #26: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #27: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #28: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #29: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #30: input, references = 4, size of lhs = 1:
% 7.10/7.27 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #31: input, references = 4, size of lhs = 1:
% 7.10/7.27 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #32: input, references = 4, size of lhs = 1:
% 7.10/7.27 pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #33: input, references = 4, size of lhs = 2:
% 7.10/7.27 aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #34: input, references = 3, size of lhs = 2:
% 7.10/7.27 aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #35: input, references = 9, size of lhs = 6:
% 7.10/7.27 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)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #36: input, references = 3, size of lhs = 1:
% 7.10/7.27 #-{F} V0 | pppp3-{T}(V0), pppp26-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #37: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp26-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #38: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #39: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #40: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #41: input, references = 3, size of lhs = 4:
% 7.10/7.27 pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #42: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #43: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #44: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #45: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #46: input, references = 13, size of lhs = 1:
% 7.10/7.27 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #47: input, references = 11, size of lhs = 1:
% 7.10/7.27 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #48: input, references = 11, size of lhs = 1:
% 7.10/7.27 pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #49: input, references = 4, size of lhs = 2:
% 7.10/7.27 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #50: input, references = 3, size of lhs = 2:
% 7.10/7.27 aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #51: input, references = 15, size of lhs = 4:
% 7.10/7.27 pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #52: input, references = 3, size of lhs = 1:
% 7.10/7.27 #-{F} V0 | pppp4-{T}(V0), pppp27-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #53: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp27-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #54: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #55: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #56: input, references = 3, size of lhs = 2:
% 7.10/7.27 pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #57: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #58: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #59: input, references = 15, size of lhs = 3:
% 7.10/7.27 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #60: input, references = 3, size of lhs = 3:
% 7.10/7.27 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #61: input, references = 8, size of lhs = 1:
% 7.10/7.27 pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #62: input, references = 8, size of lhs = 1:
% 7.10/7.27 pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #63: input, references = 5, size of lhs = 2:
% 7.10/7.27 pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #64: input, references = 10, size of lhs = 2:
% 7.10/7.27 aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp28-{T}(V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #65: input, references = 4, size of lhs = 1:
% 7.10/7.27 pppp28-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #66: input, references = 4, size of lhs = 1:
% 7.10/7.27 pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #67: input, references = 8, size of lhs = 3:
% 7.10/7.27 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #68: input, references = 15, size of lhs = 1:
% 7.10/7.27 pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #69: input, references = 4, size of lhs = 1:
% 7.10/7.27 P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #70: input, references = 4, size of lhs = 1:
% 7.10/7.27 P_xR-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #71: input, references = 4, size of lhs = 1:
% 7.10/7.27 P_xR-{F}(V0) | isTerminating0-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #72: input, references = 6, size of lhs = 4:
% 7.10/7.27 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #73: input, references = 7, size of lhs = 4:
% 7.10/7.27 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #74: input, references = 7, size of lhs = 4:
% 7.10/7.27 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #75: input, references = 6, size of lhs = 10:
% 7.10/7.27 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), aElement0-{F}(V6), sdtmndtasgtdt0-{F}(V4,V0,V6) | EXISTS V7: pppp19-{T}(V6,V5,V7,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #76: input, references = 7, size of lhs = 1:
% 7.10/7.27 pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #77: input, references = 12, size of lhs = 1:
% 7.10/7.27 pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #78: input, references = 6, size of lhs = 1:
% 7.10/7.27 pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #79: input, references = 3, size of lhs = 6:
% 7.10/7.27 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), sdtmndtplgtdt0-{F}(V1,V0,V2), sdtmndtplgtdt0-{F}(V1,V0,V3) | EXISTS V4: pppp23-{T}(V4,V0,V1,V2,V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #80: input, references = 7, size of lhs = 4:
% 7.10/7.27 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #81: input, references = 7, size of lhs = 4:
% 7.10/7.27 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #82: input, references = 13, size of lhs = 7:
% 7.10/7.27 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V2,V0,V4), sdtmndtasgtdt0-{F}(V3,V0,V4) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #83: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp23-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp22-{T}(V0,V5,V1,V2,V3,V4)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #84: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp23-{F}(V0,V1,V2,V3,V4) | sdtmndtasgtdt0-{T}(V0,V1,V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #85: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp23-{F}(V0,V1,V2,V3,V4) | aReductOfIn0-{T}(V0,V2,V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #86: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp23-{F}(V0,V1,V2,V3,V4) | aElement0-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #87: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp22-{F}(V0,V1,V2,V3,V4,V5) | EXISTS V6: pppp21-{T}(V0,V1,V6,V2,V4,V5)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #88: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp22-{F}(V0,V1,V2,V3,V4,V5) | sdtmndtasgtdt0-{T}(V1,V2,V5)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #89: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp22-{F}(V0,V1,V2,V3,V4,V5) | aReductOfIn0-{T}(V1,V3,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #90: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp22-{F}(V0,V1,V2,V3,V4,V5) | aElement0-{T}(V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #91: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp21-{F}(V0,V1,V2,V3,V4,V5) | EXISTS V6: pppp20-{T}(V2,V6,V3,V4,V5)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #92: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp21-{F}(V0,V1,V2,V3,V4,V5) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #93: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp21-{F}(V0,V1,V2,V3,V4,V5) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #94: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp21-{F}(V0,V1,V2,V3,V4,V5) | aElement0-{T}(V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #95: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp20-{F}(V0,V1,V2,V3,V4) | sdtmndtasgtdt0-{T}(V4,V2,V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #96: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp20-{F}(V0,V1,V2,V3,V4) | sdtmndtasgtdt0-{T}(V3,V2,V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #97: input, references = 3, size of lhs = 1:
% 7.10/7.27 pppp20-{F}(V0,V1,V2,V3,V4) | aNormalFormOfIn0-{T}(V1,V0,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #98: input, references = 4, size of lhs = 0:
% 7.10/7.27 FALSE | EXISTS V0: P_xR-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #99: input, references = 4, size of lhs = 0:
% 7.10/7.27 FALSE | EXISTS V0: P_xa-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #100: input, references = 4, size of lhs = 0:
% 7.10/7.27 FALSE | EXISTS V0: P_xb-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #101: input, references = 5, size of lhs = 0:
% 7.10/7.27 FALSE | EXISTS V0: P_xc-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 number of initial rules = 102
% 7.10/7.27
% 7.10/7.27 Simplifiers:
% 7.10/7.27 #102: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #103: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #104: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #105: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #106: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #107: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #108: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #109: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 P_xb-{F}(V0), P_xb-{F}(V1), V0 == V1 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #110: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 P_xc-{F}(V0), P_xc-{F}(V1), V0 == V1 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #111: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #112: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #113: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #114: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #115: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #116: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #117: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #118: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #119: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #120: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #121: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #122: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #123: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #124: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #125: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #126: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #127: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #128: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #129: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #130: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #131: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #132: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #133: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #134: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp20-{F}(V0,V1,V2,V3,V4), pppp20-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #135: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp20-{F}(V0,V1,V2,V3,V4), pppp20-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #136: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp20-{F}(V0,V1,V2,V3,V4), pppp20-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #137: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp20-{F}(V0,V1,V2,V3,V4), pppp20-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #138: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp21-{F}(V0,V1,V2,V3,V4,V5), pppp21-{F}(V0,V1,V8,V3,V4,V5), V2 == V8 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #139: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp21-{F}(V0,V1,V2,V3,V4,V5), pppp21-{F}(V6,V7,V8,V9,V10,V11), V3 == V9 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #140: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp21-{F}(V0,V1,V2,V3,V4,V5), pppp21-{F}(V6,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #141: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp21-{F}(V0,V1,V2,V3,V4,V5), pppp21-{F}(V6,V7,V8,V9,V10,V11), V5 == V11 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #142: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp22-{F}(V0,V1,V2,V3,V4,V5), pppp22-{F}(V0,V7,V2,V3,V4,V5), V1 == V7 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #143: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp22-{F}(V0,V1,V2,V3,V4,V5), pppp22-{F}(V6,V7,V2,V3,V4,V5), V0 == V6 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #144: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp22-{F}(V0,V1,V2,V3,V4,V5), pppp22-{F}(V6,V7,V8,V9,V10,V11), V2 == V8 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #145: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp22-{F}(V0,V1,V2,V3,V4,V5), pppp22-{F}(V6,V7,V8,V9,V10,V11), V3 == V9 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #146: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp22-{F}(V0,V1,V2,V3,V4,V5), pppp22-{F}(V6,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #147: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp22-{F}(V0,V1,V2,V3,V4,V5), pppp22-{F}(V6,V7,V8,V9,V10,V11), V5 == V11 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #148: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp23-{F}(V0,V1,V2,V3,V4), pppp23-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #149: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp23-{F}(V0,V1,V2,V3,V4), pppp23-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #150: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp23-{F}(V0,V1,V2,V3,V4), pppp23-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #151: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp23-{F}(V0,V1,V2,V3,V4), pppp23-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #152: unsound, references = 3, size of lhs = 3:
% 7.10/7.27 pppp23-{F}(V0,V1,V2,V3,V4), pppp23-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 number of simplifiers = 51
% 7.10/7.27
% 7.10/7.27 Learnt:
% 7.10/7.27 #156: disj( #64, input ), references = 1, size of lhs = 3:
% 7.10/7.27 aElement0-{F}(V0), aReductOfIn0-{F}(V1,V0,V2), sdtmndtasgtdt0-{F}(V3,V2,V0) | pppp28-{T}(V2,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #180: exists( #65, #178 ), references = 2, size of lhs = 2:
% 7.10/7.27 pppp28-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #182: disj( #64, exists( #65, #178 ) ), references = 5, size of lhs = 3:
% 7.10/7.27 aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp5-{F}(V3,V2,V0) | pppp5-{T}(V1,V2,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #224: exists( #35, #222 ), references = 2, size of lhs = 10:
% 7.10/7.27 pppp3-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), P_xb-{F}(V1), aElement0-{F}(V2), P_xc-{F}(V2), aElement0-{F}(V3), aReductOfIn0-{F}(V2,V3,V0), aReductOfIn0-{F}(V1,V3,V0), P_xa-{F}(V4) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #281: mergings( V1 == V8, V2 == V5, V3 == V6; #276 ), references = 4, size of lhs = 10:
% 7.10/7.27 aElement0-{F}(V0), iLess0-{F}(V0,V1), P_xa-{F}(V1), aElement0-{F}(V2), P_xb-{F}(V2), aElement0-{F}(V3), P_xc-{F}(V3), P_xR-{F}(V4), sdtmndtasgtdt0-{F}(V0,V4,V2), sdtmndtasgtdt0-{F}(V0,V4,V3) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #299: exists( #35, #297 ), references = 1, size of lhs = 7:
% 7.10/7.27 pppp3-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V2,V3,V0), aReductOfIn0-{F}(V1,V3,V0) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #301: disj( #3, input ), references = 6, size of lhs = 2:
% 7.10/7.27 pppp5-{F}(V0,V1,V2), pppp0-{F}(V2,V1,V3) | pppp24-{T}(V2,V1,V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #313: exists( #4, #311 ), references = 6, size of lhs = 2:
% 7.10/7.27 pppp5-{F}(V0,V1,V2), pppp24-{F}(V2,V1,V3) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #357: exists( #67, #355 ), references = 5, size of lhs = 5:
% 7.10/7.27 isTerminating0-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V2,V0,V1), pppp5-{F}(V3,V0,V1) | pppp18-{T}(V0,V1,V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #409: exists( #75, #407 ), references = 8, size of lhs = 13:
% 7.10/7.27 P_xR-{F}(V0), aRewritingSystem0-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), iLess0-{F}(V4,V1), sdtmndtasgtdt0-{F}(V4,V0,V5), aElement0-{F}(V5), aElement0-{F}(V6), sdtmndtasgtdt0-{F}(V4,V0,V6), pppp5-{F}(V7,V0,V5), pppp5-{F}(V8,V0,V5) | pppp19-{T}(V6,V5,V5,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #473: disj( #64, exists( #4, #311 ) ), references = 1, size of lhs = 3:
% 7.10/7.27 aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp24-{F}(V0,V2,V3) | pppp28-{T}(V2,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #489: exists( #35, #487 ), references = 4, size of lhs = 9:
% 7.10/7.27 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V1,V2,V0), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3) | pppp11-{T}(V0,V3,V1,V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #534: exists( #4, #532 ), references = 1, size of lhs = 14:
% 7.10/7.27 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), aElement0-{F}(V1), pppp24-{F}(V1,V0,V2), aElement0-{F}(V2), P_xc-{F}(V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V1,V0), P_xb-{F}(V3), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #538: disj( #64, exists( #4, #532 ) ), references = 1, size of lhs = 13:
% 7.10/7.27 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), aElement0-{F}(V1), pppp24-{F}(V1,V0,V2), aElement0-{F}(V2), P_xc-{F}(V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V1,V0), P_xb-{F}(V3), sdtmndtasgtdt0-{F}(V4,V0,V3) | pppp28-{T}(V0,V3)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #584: mergings( V3 == V12, V4 == V13, V5 == V9; #580 ), references = 1, size of lhs = 19:
% 7.10/7.27 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), pppp0-{F}(V1,V0,V2), aElement0-{F}(V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V1,V0), iLess0-{F}(V3,V4), P_xa-{F}(V4), pppp5-{F}(V5,V0,V2), pppp5-{F}(V6,V0,V2), aElement0-{F}(V7), sdtmndtasgtdt0-{F}(V3,V0,V7), P_xc-{F}(V7), pppp5-{F}(V8,V0,V2), pppp5-{F}(V9,V0,V2), P_xb-{F}(V10), sdtmndtasgtdt0-{F}(V10,V0,V2) | pppp24-{T}(V1,V0,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #634: exists( #75, #632 ), references = 3, size of lhs = 13:
% 7.10/7.27 P_xR-{F}(V0), aRewritingSystem0-{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), sdtmndtasgtdt0-{F}(V4,V0,V6), aElement0-{F}(V6), pppp5-{F}(V7,V0,V6), pppp5-{F}(V8,V0,V6) | pppp19-{T}(V6,V5,V6,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #672: mergings( V0 == V10, V4 == V11, V2 == V5; #668 ), references = 1, size of lhs = 16:
% 7.10/7.27 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), P_xa-{F}(V1), pppp24-{F}(V1,V0,V2), aElement0-{F}(V2), P_xc-{F}(V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V1,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V3), P_xb-{F}(V7), sdtmndtasgtdt0-{F}(V7,V0,V3) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #740: mergings( V5 == V11, V6 == V2, V7 == V12; #734 ), references = 3, size of lhs = 17:
% 7.10/7.27 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), P_xa-{F}(V3), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), aElement0-{F}(V7), aReductOfIn0-{F}(V7,V1,V0), P_xb-{F}(V7), P_xc-{F}(V8), sdtmndtasgtdt0-{F}(V8,V0,V4) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #744: mergings( V5 == V11, V6 == V12, V7 == V8; #735 ), references = 3, size of lhs = 19:
% 7.10/7.27 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), P_xa-{F}(V3), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), P_xc-{F}(V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), aElement0-{F}(V7), aReductOfIn0-{F}(V7,V1,V0), iLess0-{F}(V7,V3), aElement0-{F}(V8), P_xb-{F}(V8), sdtmndtasgtdt0-{F}(V7,V0,V8) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #769: exists( #4, #765 ), references = 1, size of lhs = 15:
% 7.10/7.27 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), aElement0-{F}(V1), pppp24-{F}(V1,V0,V2), aElement0-{F}(V2), pppp5-{F}(V3,V0,V2), pppp5-{F}(V4,V0,V2), aElement0-{F}(V5), aReductOfIn0-{F}(V5,V1,V0), P_xb-{F}(V5), P_xc-{F}(V6), sdtmndtasgtdt0-{F}(V6,V0,V2) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #770: exists( #4, #766 ), references = 2, size of lhs = 17:
% 7.10/7.27 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), aElement0-{F}(V1), pppp24-{F}(V1,V0,V2), aElement0-{F}(V2), P_xc-{F}(V2), pppp5-{F}(V3,V0,V2), pppp5-{F}(V4,V0,V2), aElement0-{F}(V5), aReductOfIn0-{F}(V5,V1,V0), iLess0-{F}(V5,V1), aElement0-{F}(V6), P_xb-{F}(V6), sdtmndtasgtdt0-{F}(V5,V0,V6) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #773: disj( #64, exists( #4, #765 ) ), references = 1, size of lhs = 14:
% 7.10/7.27 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), aElement0-{F}(V1), pppp24-{F}(V1,V0,V2), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V3,V0,V2), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V1,V0), P_xb-{F}(V4), P_xc-{F}(V5), sdtmndtasgtdt0-{F}(V5,V0,V2) | pppp28-{T}(V0,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #774: disj( #64, exists( #4, #766 ) ), references = 2, size of lhs = 16:
% 7.10/7.27 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), aElement0-{F}(V1), pppp24-{F}(V1,V0,V2), aElement0-{F}(V2), P_xc-{F}(V2), sdtmndtasgtdt0-{F}(V3,V0,V2), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V1,V0), iLess0-{F}(V4,V1), aElement0-{F}(V5), P_xb-{F}(V5), sdtmndtasgtdt0-{F}(V4,V0,V5) | pppp28-{T}(V0,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #829: exists( #4, #827 ), references = 1, size of lhs = 17:
% 7.10/7.27 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), aElement0-{F}(V1), pppp24-{F}(V1,V0,V2), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V3), aElement0-{F}(V3), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), aElement0-{F}(V6), aReductOfIn0-{F}(V6,V1,V0), P_xb-{F}(V6), P_xc-{F}(V7), sdtmndtasgtdt0-{F}(V7,V0,V3) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #840: exists( #67, #838 ), references = 1, size of lhs = 15:
% 7.10/7.27 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V1,V0,V2), aElement0-{F}(V2), P_xc-{F}(V2), P_xa-{F}(V3), aElement0-{F}(V3), pppp24-{F}(V3,V0,V2), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V3,V0), P_xb-{F}(V4) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #842: disj( #3, exists( #67, #838 ) ), references = 1, size of lhs = 15:
% 7.10/7.27 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V1,V0,V2), aElement0-{F}(V2), P_xc-{F}(V2), P_xa-{F}(V3), pppp0-{F}(V3,V0,V2), aElement0-{F}(V3), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V3,V0), P_xb-{F}(V4) | aReductOfIn0-{T}(V2,V3,V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #846: mergings( V0 == V5; #844 ), references = 1, size of lhs = 15:
% 7.10/7.27 isTerminating0-{F}(V0), pppp4-{F}(V0), aRewritingSystem0-{F}(V0), pppp3-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V1,V0,V2), aElement0-{F}(V2), P_xc-{F}(V2), aElement0-{F}(V3), pppp0-{F}(V3,V0,V2), P_xa-{F}(V3), pppp0-{F}(V3,V0,V4), aElement0-{F}(V4), P_xb-{F}(V4) | pppp24-{T}(V3,V0,V4)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #855: disj( #64, mergings( V5 == V11, V6 == V12, V7 == V8; #735 ) ), references = 1, size of lhs = 18:
% 7.10/7.27 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), P_xa-{F}(V3), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), P_xc-{F}(V4), sdtmndtasgtdt0-{F}(V5,V0,V4), aElement0-{F}(V6), aReductOfIn0-{F}(V6,V1,V0), iLess0-{F}(V6,V3), aElement0-{F}(V7), P_xb-{F}(V7), sdtmndtasgtdt0-{F}(V6,V0,V7) | pppp28-{T}(V0,V4)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #900: exists( #19, #898 ), references = 1, size of lhs = 10:
% 7.10/7.27 pppp2-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), P_xb-{F}(V1), aElement0-{F}(V2), P_xc-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V0,V2), sdtmndtasgtdt0-{F}(V3,V0,V1), P_xa-{F}(V4) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #902: disj( #20, exists( #19, #898 ) ), references = 1, size of lhs = 9:
% 7.10/7.27 P_xR-{F}(V0), aElement0-{F}(V1), P_xb-{F}(V1), aElement0-{F}(V2), P_xc-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V0,V2), sdtmndtasgtdt0-{F}(V3,V0,V1), P_xa-{F}(V4) | pppp25-{T}(V0)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #991: exists( #67, #989 ), references = 1, size of lhs = 12:
% 7.10/7.27 isTerminating0-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), iLess0-{F}(V4,V1), sdtmndtasgtdt0-{F}(V4,V0,V5), aElement0-{F}(V5), pppp5-{F}(V6,V0,V5), pppp5-{F}(V7,V0,V5) | pppp18-{T}(V0,V4,V5)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1120: mergings( V5 == V11, V6 == V12, V7 == V1; #1114 ), references = 2, size of lhs = 17:
% 7.10/7.27 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), P_xa-{F}(V3), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), aElement0-{F}(V7), aReductOfIn0-{F}(V7,V1,V0), P_xc-{F}(V7), P_xb-{F}(V8), sdtmndtasgtdt0-{F}(V8,V0,V4) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1124: mergings( V5 == V11, V6 == V8, V7 == V12; #1115 ), references = 1, size of lhs = 19:
% 7.10/7.27 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), P_xa-{F}(V3), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), P_xb-{F}(V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), aElement0-{F}(V7), aReductOfIn0-{F}(V7,V1,V0), iLess0-{F}(V7,V3), aElement0-{F}(V8), P_xc-{F}(V8), sdtmndtasgtdt0-{F}(V7,V0,V8) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1130: mergings( V4 == V9, V5 == V10, V6 == V8; #1125 ), references = 1, size of lhs = 16:
% 7.10/7.27 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), P_xa-{F}(V3), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V5,V0,V4), aElement0-{F}(V6), aReductOfIn0-{F}(V6,V1,V0), P_xc-{F}(V6), P_xb-{F}(V7), sdtmndtasgtdt0-{F}(V7,V0,V4) | pppp28-{T}(V0,V4)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1134: mergings( V4 == V9, V5 == V0, V6 == V10; #1126 ), references = 1, size of lhs = 18:
% 7.10/7.27 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), P_xa-{F}(V3), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), P_xb-{F}(V4), sdtmndtasgtdt0-{F}(V5,V0,V4), aElement0-{F}(V6), aReductOfIn0-{F}(V6,V1,V0), iLess0-{F}(V6,V3), aElement0-{F}(V7), P_xc-{F}(V7), sdtmndtasgtdt0-{F}(V6,V0,V7) | pppp28-{T}(V0,V4)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1174: exists( #67, #1172 ), references = 1, size of lhs = 17:
% 7.10/7.27 isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V1,V0,V2), aElement0-{F}(V2), P_xb-{F}(V2), aElement0-{F}(V3), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V4,V0,V2), aReductOfIn0-{F}(V4,V3,V0), iLess0-{F}(V4,V5), P_xa-{F}(V5), aElement0-{F}(V6), aReductOfIn0-{F}(V6,V3,V0), P_xc-{F}(V6) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1184: exists( #4, #1182 ), references = 1, size of lhs = 15:
% 7.10/7.27 pppp4-{F}(V0), isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), aElement0-{F}(V1), pppp24-{F}(V1,V0,V2), aElement0-{F}(V2), P_xb-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V0,V2), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V1,V0), P_xc-{F}(V4) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1186: disj( #3, exists( #4, #1182 ) ), references = 1, size of lhs = 15:
% 7.10/7.27 pppp4-{F}(V0), isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), aElement0-{F}(V1), pppp0-{F}(V1,V0,V2), aElement0-{F}(V2), P_xc-{F}(V2), pppp24-{F}(V1,V0,V3), aElement0-{F}(V3), P_xb-{F}(V3), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V4,V0,V3) | pppp24-{T}(V1,V0,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1340: mergings( V5 == V11, V11 == V17, V6 == V12, V12 == V14, V7 == V13, V13 == V18; #1331 ), references = 2, size of lhs = 22:
% 7.10/7.27 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), P_xa-{F}(V3), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), aElement0-{F}(V7), aReductOfIn0-{F}(V7,V1,V0), iLess0-{F}(V7,V3), aElement0-{F}(V8), sdtmndtasgtdt0-{F}(V7,V0,V8), P_xb-{F}(V8), pppp5-{F}(V9,V0,V4), pppp5-{F}(V10,V0,V4), P_xc-{F}(V11), sdtmndtasgtdt0-{F}(V11,V0,V4) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1368: exists( #67, #1366 ), references = 1, size of lhs = 20:
% 7.10/7.27 isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V1,V0,V2), aElement0-{F}(V2), P_xc-{F}(V2), aElement0-{F}(V3), aElement0-{F}(V4), sdtmndtplgtdt0-{F}(V4,V0,V2), aReductOfIn0-{F}(V4,V3,V0), iLess0-{F}(V4,V5), P_xa-{F}(V5), aElement0-{F}(V6), aReductOfIn0-{F}(V6,V3,V0), iLess0-{F}(V6,V5), aElement0-{F}(V7), sdtmndtasgtdt0-{F}(V6,V0,V7), P_xb-{F}(V7) | pppp18-{T}(V0,V2,V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1401: exists( #4, #1395 ), references = 1, size of lhs = 19:
% 7.10/7.27 pppp4-{F}(V0), isTerminating0-{F}(V0), pppp3-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), P_xa-{F}(V1), aElement0-{F}(V1), pppp24-{F}(V1,V0,V2), P_xc-{F}(V2), aElement0-{F}(V2), pppp28-{F}(V0,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V0,V2), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V1,V0), iLess0-{F}(V4,V1), aElement0-{F}(V5), sdtmndtasgtdt0-{F}(V4,V0,V5), P_xb-{F}(V5) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1403: mergings( V6 == V8; #1399 ), references = 1, size of lhs = 22:
% 7.10/7.27 pppp4-{F}(V0), isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), aElement0-{F}(V1), pppp24-{F}(V1,V0,V2), aElement0-{F}(V2), P_xc-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V0,V2), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V1,V0), iLess0-{F}(V4,V1), sdtmndtasgtdt0-{F}(V4,V0,V5), aElement0-{F}(V5), P_xb-{F}(V5), aElement0-{F}(V6), aReductOfIn0-{F}(V6,V1,V0), iLess0-{F}(V6,V1), sdtmndtasgtdt0-{F}(V6,V0,V5) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1406: mergings( V0 == V7, V6 == V9; #1400 ), references = 1, size of lhs = 22:
% 7.10/7.27 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), P_xc-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1), aElement0-{F}(V3), iLess0-{F}(V3,V4), aReductOfIn0-{F}(V3,V4,V0), P_xa-{F}(V4), aElement0-{F}(V4), pppp24-{F}(V4,V0,V1), sdtmndtasgtdt0-{F}(V3,V0,V5), aElement0-{F}(V5), P_xb-{F}(V5), aElement0-{F}(V6), aReductOfIn0-{F}(V6,V4,V0), iLess0-{F}(V6,V4), sdtmndtasgtdt0-{F}(V6,V0,V5) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1435: exists( #4, #1430 ), references = 1, size of lhs = 15:
% 7.10/7.27 pppp4-{F}(V0), isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), aElement0-{F}(V1), pppp24-{F}(V1,V0,V2), aElement0-{F}(V2), P_xb-{F}(V2), pppp24-{F}(V1,V0,V3), aElement0-{F}(V3), P_xc-{F}(V3), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V4,V0,V3) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1436: exists( #4, #1431 ), references = 1, size of lhs = 15:
% 7.10/7.27 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), P_xc-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1), P_xa-{F}(V3), aElement0-{F}(V3), pppp24-{F}(V3,V0,V1), pppp24-{F}(V3,V0,V4), aElement0-{F}(V4), P_xb-{F}(V4) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1437: exists( #4, #1429 ), references = 1, size of lhs = 16:
% 7.10/7.27 pppp4-{F}(V0), isTerminating0-{F}(V0), pppp3-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), P_xc-{F}(V1), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V2,V0,V1), P_xa-{F}(V3), aElement0-{F}(V3), pppp24-{F}(V3,V0,V1), pppp24-{F}(V3,V0,V4), aElement0-{F}(V4), P_xb-{F}(V4), aElement0-{F}(V5), sdtmndtasgtdt0-{F}(V5,V0,V1) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1491: mergings( V1 == V3, V3 == V5, V5 == V10, V4 == V6, V6 == V9, V9 == V12, V2 == V7, V7 == V8, V8 == V11; #1479 ), references = 2, size of lhs = 8:
% 7.10/7.27 pppp4-{F}(V0), isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xb-{F}(V1), P_xa-{F}(V2), V2 == V1 | P_xc-{T}(V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1501: mergings( V1 == V3, V3 == V5, V5 == V10, V4 == V6, V6 == V9, V9 == V12, V2 == V7, V7 == V8, V8 == V11; #1480 ), references = 1, size of lhs = 8:
% 7.10/7.27 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xb-{F}(V1), P_xa-{F}(V2), V2 == V1 | P_xc-{T}(V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1511: mergings( V1 == V3, V3 == V5, V5 == V10, V4 == V6, V6 == V9, V9 == V12, V2 == V7, V7 == V8, V8 == V11; #1481 ), references = 1, size of lhs = 8:
% 7.10/7.27 pppp4-{F}(V0), isTerminating0-{F}(V0), pppp3-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), P_xb-{F}(V1), P_xa-{F}(V2), V2 == V1 | P_xc-{T}(V2)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1526: mergings( V1 == V5, V2 == V5, V3 == V4, V4 == V6; #1521 ), references = 1, size of lhs = 6:
% 7.10/7.27 pppp4-{F}(V0), isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1) | P_xb-{T}(V1)
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1539: mergings( V1 == V6, V2 == V4, V4 == V7, V3 == V7, V7 == V5; #1533 ), references = 1, size of lhs = 4:
% 7.10/7.27 P_xb-{F}(V0), P_xa-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1546: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V5; #1541 ), references = 1, size of lhs = 5:
% 7.10/7.27 pppp4-{F}(V0), isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0) | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 #1553: exists( #98, #1551 ), references = 1, size of lhs = 0:
% 7.10/7.27 FALSE | FALSE
% 7.10/7.27 (used 0 times, uses = {})
% 7.10/7.27
% 7.10/7.27 number of learnt formulas = 53
% 7.10/7.27
% 7.10/7.27
% 7.10/7.27 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.10/7.27
% 7.10/7.27 randbase = 1
%------------------------------------------------------------------------------