TSTP Solution File: COM015+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM015+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 05:59:17 EDT 2022
% Result : Theorem 24.71s 24.90s
% Output : Refutation 24.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM015+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n024.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 17:01:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 24.71/24.90 GeoParameters:
% 24.71/24.90
% 24.71/24.90 tptp_input = 1
% 24.71/24.90 tptp_output = 0
% 24.71/24.90 nonempty = 1
% 24.71/24.90 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.71/24.90 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 24.71/24.90
% 24.71/24.90
% 24.71/24.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.71/24.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.71/24.90
% 24.71/24.90 RuleSystem INPUT:
% 24.71/24.90
% 24.71/24.90 Initial Rules:
% 24.71/24.90 #0: input, references = 3, size of lhs = 3:
% 24.71/24.90 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1: input, references = 22, size of lhs = 4:
% 24.71/24.90 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2: input, references = 13, size of lhs = 4:
% 24.71/24.90 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #3: input, references = 13, size of lhs = 1:
% 24.71/24.90 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp23-{T}(V0,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #4: input, references = 12, size of lhs = 1:
% 24.71/24.90 pppp23-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #5: input, references = 11, size of lhs = 1:
% 24.71/24.90 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #6: input, references = 5, size of lhs = 3:
% 24.71/24.90 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #7: input, references = 11, size of lhs = 1:
% 24.71/24.90 pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #8: input, references = 12, size of lhs = 1:
% 24.71/24.90 pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #9: input, references = 11, size of lhs = 1:
% 24.71/24.90 pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #10: input, references = 8, size of lhs = 6:
% 24.71/24.90 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)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #11: input, references = 26, size of lhs = 4:
% 24.71/24.90 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #12: input, references = 23, size of lhs = 4:
% 24.71/24.90 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #13: input, references = 26, size of lhs = 2:
% 24.71/24.90 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #14: input, references = 9, size of lhs = 2:
% 24.71/24.90 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #15: input, references = 17, size of lhs = 1:
% 24.71/24.90 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #16: input, references = 7, size of lhs = 6:
% 24.71/24.90 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)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #17: input, references = 3, size of lhs = 2:
% 24.71/24.90 aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #18: input, references = 3, size of lhs = 2:
% 24.71/24.90 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #19: input, references = 4, size of lhs = 6:
% 24.71/24.90 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)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #20: input, references = 4, size of lhs = 1:
% 24.71/24.90 #-{F} V0 | pppp2-{T}(V0), pppp24-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #21: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp24-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #22: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #23: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #24: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #25: input, references = 4, size of lhs = 4:
% 24.71/24.90 pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #26: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #27: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #28: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #29: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #30: input, references = 4, size of lhs = 1:
% 24.71/24.90 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #31: input, references = 4, size of lhs = 1:
% 24.71/24.90 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #32: input, references = 4, size of lhs = 1:
% 24.71/24.90 pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #33: input, references = 4, size of lhs = 2:
% 24.71/24.90 aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #34: input, references = 3, size of lhs = 2:
% 24.71/24.90 aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #35: input, references = 8, size of lhs = 6:
% 24.71/24.90 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)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #36: input, references = 3, size of lhs = 1:
% 24.71/24.90 #-{F} V0 | pppp3-{T}(V0), pppp25-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #37: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp25-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #38: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #39: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #40: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #41: input, references = 3, size of lhs = 4:
% 24.71/24.90 pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #42: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #43: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #44: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #45: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #46: input, references = 11, size of lhs = 1:
% 24.71/24.90 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #47: input, references = 12, size of lhs = 1:
% 24.71/24.90 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #48: input, references = 8, size of lhs = 1:
% 24.71/24.90 pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #49: input, references = 4, size of lhs = 2:
% 24.71/24.90 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #50: input, references = 3, size of lhs = 2:
% 24.71/24.90 aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #51: input, references = 17, size of lhs = 4:
% 24.71/24.90 pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #52: input, references = 3, size of lhs = 1:
% 24.71/24.90 #-{F} V0 | pppp4-{T}(V0), pppp26-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #53: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp26-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #54: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #55: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #56: input, references = 3, size of lhs = 2:
% 24.71/24.90 pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #57: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #58: input, references = 3, size of lhs = 1:
% 24.71/24.90 pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #59: input, references = 23, size of lhs = 3:
% 24.71/24.90 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #60: input, references = 3, size of lhs = 3:
% 24.71/24.90 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #61: input, references = 12, size of lhs = 1:
% 24.71/24.90 pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #62: input, references = 15, size of lhs = 1:
% 24.71/24.90 pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #63: input, references = 5, size of lhs = 2:
% 24.71/24.90 pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #64: input, references = 9, size of lhs = 2:
% 24.71/24.90 aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp27-{T}(V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #65: input, references = 4, size of lhs = 1:
% 24.71/24.90 pppp27-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #66: input, references = 4, size of lhs = 1:
% 24.71/24.90 pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #67: input, references = 10, size of lhs = 3:
% 24.71/24.90 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #68: input, references = 23, size of lhs = 1:
% 24.71/24.90 pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #69: input, references = 4, size of lhs = 1:
% 24.71/24.90 P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #70: input, references = 4, size of lhs = 1:
% 24.71/24.90 P_xR-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #71: input, references = 4, size of lhs = 1:
% 24.71/24.90 P_xR-{F}(V0) | isTerminating0-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #72: input, references = 5, size of lhs = 1:
% 24.71/24.90 P_xR-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #73: input, references = 5, size of lhs = 1:
% 24.71/24.90 pppp22-{F}(V0,V1) | EXISTS V2: pppp21-{T}(V0,V2,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #74: input, references = 5, size of lhs = 7:
% 24.71/24.90 pppp22-{F}(V0,V1), aElement0-{F}(V2), iLess0-{F}(V2,V0), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V2,V1,V3), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V2,V1,V4) | EXISTS V5: pppp19-{T}(V4,V3,V5,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #75: input, references = 5, size of lhs = 1:
% 24.71/24.90 pppp22-{F}(V0,V1) | aElement0-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #76: input, references = 8, size of lhs = 1:
% 24.71/24.90 pppp21-{F}(V0,V1,V2) | EXISTS V3: pppp20-{T}(V0,V3,V1,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #77: input, references = 6, size of lhs = 1:
% 24.71/24.90 pppp21-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V2,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #78: input, references = 5, size of lhs = 1:
% 24.71/24.90 pppp21-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #79: input, references = 12, size of lhs = 4:
% 24.71/24.90 pppp20-{F}(V0,V1,V2,V3), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V1,V3,V4), sdtmndtasgtdt0-{F}(V2,V3,V4) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #80: input, references = 12, size of lhs = 1:
% 24.71/24.90 pppp20-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #81: input, references = 12, size of lhs = 1:
% 24.71/24.90 pppp20-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #82: input, references = 22, size of lhs = 1:
% 24.71/24.90 pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #83: input, references = 4, size of lhs = 1:
% 24.71/24.90 pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #84: input, references = 5, size of lhs = 1:
% 24.71/24.90 pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #85: input, references = 4, size of lhs = 0:
% 24.71/24.90 FALSE | EXISTS V0: P_xR-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 number of initial rules = 86
% 24.71/24.90
% 24.71/24.90 Simplifiers:
% 24.71/24.90 #86: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #87: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #88: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #89: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #90: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #91: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #92: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #93: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #94: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #95: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #96: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #97: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #98: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #99: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #100: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #101: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #102: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #103: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #104: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #105: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #106: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #107: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #108: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #109: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #110: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #111: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #112: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #113: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #114: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #115: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #116: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #117: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #118: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #119: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V4,V2), V1 == V4 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #120: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp21-{F}(V0,V1,V2), pppp21-{F}(V3,V4,V2), V0 == V3 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #121: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp21-{F}(V0,V1,V2), pppp21-{F}(V3,V4,V5), V2 == V5 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #122: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #123: unsound, references = 3, size of lhs = 3:
% 24.71/24.90 pppp22-{F}(V0,V1), pppp22-{F}(V2,V3), V1 == V3 | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 number of simplifiers = 38
% 24.71/24.90
% 24.71/24.90 Learnt:
% 24.71/24.90 #130: exists( #76, #128 ), references = 2, size of lhs = 5:
% 24.71/24.90 aElement0-{F}(V0), aElement0-{F}(V1), pppp21-{F}(V0,V1,V2), aRewritingSystem0-{F}(V2), sdtmndtasgtdt0-{F}(V1,V2,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #135: disj( #3, input ), references = 12, size of lhs = 2:
% 24.71/24.90 pppp5-{F}(V0,V1,V2), pppp0-{F}(V2,V1,V3) | pppp23-{T}(V2,V1,V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #144: exists( #65, #142 ), references = 1, size of lhs = 2:
% 24.71/24.90 pppp27-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #149: disj( #64, exists( #65, #142 ) ), references = 23, size of lhs = 3:
% 24.71/24.90 aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp5-{F}(V3,V2,V0) | pppp5-{T}(V1,V2,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #173: exists( #19, #171 ), references = 2, size of lhs = 7:
% 24.71/24.90 pppp2-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V0,V2), sdtmndtasgtdt0-{F}(V3,V0,V1), pppp20-{F}(V4,V2,V1,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #177: exists( #76, #175 ), references = 2, size of lhs = 5:
% 24.71/24.90 pppp2-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp21-{F}(V2,V1,V0), sdtmndtasgtdt0-{F}(V2,V0,V1) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #182: exists( #73, #180 ), references = 1, size of lhs = 3:
% 24.71/24.90 pppp2-{F}(V0), aElement0-{F}(V1), pppp22-{F}(V1,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #185: exists( #72, #183 ), references = 1, size of lhs = 2:
% 24.71/24.90 P_xR-{F}(V0), pppp2-{F}(V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #187: disj( #20, exists( #72, #183 ) ), references = 1, size of lhs = 1:
% 24.71/24.90 P_xR-{F}(V0) | pppp24-{T}(V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #204: exists( #4, #202 ), references = 11, size of lhs = 2:
% 24.71/24.90 pppp5-{F}(V0,V1,V2), pppp23-{F}(V2,V1,V3) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #214: exists( #67, #212 ), references = 8, size of lhs = 5:
% 24.71/24.90 isTerminating0-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V2,V0,V1), pppp5-{F}(V3,V0,V1) | pppp18-{T}(V0,V1,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #253: disj( #64, exists( #4, #202 ) ), references = 1, size of lhs = 3:
% 24.71/24.90 aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp23-{F}(V0,V2,V3) | pppp27-{T}(V2,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #328: exists( #74, #326 ), references = 19, size of lhs = 10:
% 24.71/24.90 aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp22-{F}(V1,V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V0,V2,V3), sdtmndtasgtdt0-{F}(V0,V2,V4), aElement0-{F}(V4), pppp5-{F}(V5,V2,V4), pppp5-{F}(V6,V2,V4) | pppp19-{T}(V4,V3,V4,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #348: disj( #64, input ), references = 1, size of lhs = 3:
% 24.71/24.90 aElement0-{F}(V0), aReductOfIn0-{F}(V1,V0,V2), sdtmndtasgtdt0-{F}(V3,V2,V0) | pppp27-{T}(V2,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #378: exists( #35, #376 ), references = 5, size of lhs = 9:
% 24.71/24.90 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,V1,V3,V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #411: exists( #4, #409 ), references = 1, size of lhs = 14:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp23-{F}(V2,V0,V1), pppp22-{F}(V2,V0), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V3), sdtmndtasgtdt0-{F}(V7,V0,V3), pppp20-{F}(V8,V7,V1,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #514: disj( #3, #378+#47+#149+#328+#82+#11+#13+#1+#135+#204 ), references = 1, size of lhs = 17:
% 24.71/24.90 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp0-{F}(V1,V0,V2), aElement0-{F}(V2), iLess0-{F}(V2,V3), pppp22-{F}(V3,V0), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V1,V0), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), pppp5-{F}(V7,V0,V4), sdtmndtasgtdt0-{F}(V2,V0,V8), V4 == V8, aElement0-{F}(V8), pppp5-{F}(V9,V0,V8), pppp5-{F}(V10,V0,V8) | pppp23-{T}(V1,V0,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #565: exists( #35, #563 ), references = 4, size of lhs = 9:
% 24.71/24.90 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)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #675: exists( #67, #673 ), references = 1, size of lhs = 11:
% 24.71/24.90 isTerminating0-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), pppp22-{F}(V3,V0), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4) | pppp18-{T}(V0,V2,V2), pppp18-{T}(V0,V2,V4)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #748: exists( #35, #746 ), references = 7, size of lhs = 15:
% 24.71/24.90 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), pppp22-{F}(V3,V0), 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), sdtmndtasgtdt0-{F}(V8,V0,V4), pppp20-{F}(V9,V8,V7,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #759: exists( #4, #757 ), references = 3, size of lhs = 12:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp23-{F}(V2,V0,V1), pppp22-{F}(V2,V0), pppp5-{F}(V3,V0,V1), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V2,V0), sdtmndtasgtdt0-{F}(V5,V0,V1), pppp20-{F}(V6,V5,V4,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #761: disj( #3, exists( #4, #757 ) ), references = 4, size of lhs = 12:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V0,V1), pppp22-{F}(V2,V0), pppp5-{F}(V3,V0,V1), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V2,V0), sdtmndtasgtdt0-{F}(V5,V0,V1), pppp20-{F}(V6,V5,V4,V0) | aReductOfIn0-{T}(V1,V2,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #778: disj( #3, exists( #4, #409 ) ), references = 3, size of lhs = 14:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp23-{F}(V2,V0,V1), pppp22-{F}(V2,V0), pppp0-{F}(V2,V0,V3), aElement0-{F}(V3), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V3), sdtmndtasgtdt0-{F}(V7,V0,V3), pppp20-{F}(V8,V7,V1,V0) | pppp23-{T}(V2,V0,V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #865: exists( #4, #861 ), references = 2, size of lhs = 16:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp23-{F}(V2,V0,V1), pppp22-{F}(V2,V0), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V1), aElement0-{F}(V7), sdtmndtasgtdt0-{F}(V7,V0,V3), sdtmndtasgtdt0-{F}(V8,V0,V1), pppp20-{F}(V9,V8,V7,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #895: mergings( V0 == V11; #893 ), references = 1, size of lhs = 19:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp5-{F}(V3,V0,V2), pppp5-{F}(V4,V0,V2), pppp5-{F}(V5,V0,V2), pppp5-{F}(V6,V0,V2), pppp5-{F}(V7,V0,V2), aElement0-{F}(V8), aElement0-{F}(V9), pppp23-{F}(V9,V0,V1), pppp23-{F}(V9,V0,V8), pppp22-{F}(V9,V0), aReductOfIn0-{F}(V2,V9,V0), pppp5-{F}(V10,V0,V8), sdtmndtasgtdt0-{F}(V11,V0,V8), pppp20-{F}(V12,V11,V1,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #901: disj( #3, exists( #35, #746 ) ), references = 4, size of lhs = 15:
% 24.71/24.90 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp0-{F}(V1,V0,V2), aElement0-{F}(V2), iLess0-{F}(V2,V3), pppp22-{F}(V3,V0), 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), sdtmndtasgtdt0-{F}(V8,V0,V4), pppp20-{F}(V9,V8,V7,V0) | pppp23-{T}(V1,V0,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #950: exists( #74, #948 ), references = 1, size of lhs = 10:
% 24.71/24.90 aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp22-{F}(V1,V2), aRewritingSystem0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V2,V3), aElement0-{F}(V3), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V0,V2,V4), pppp5-{F}(V5,V2,V3), pppp5-{F}(V6,V2,V3) | pppp19-{T}(V4,V3,V3,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #963: disj( #3, #565+#46+#25 ), references = 1, size of lhs = 11:
% 24.71/24.90 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V0,V1), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), pppp9-{F}(V0,V1,V6), sdtmndtasgtdt0-{F}(V6,V0,V3) | pppp23-{T}(V2,V0,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #987: disj( #3, exists( #4, #861 ) ), references = 1, size of lhs = 16:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp23-{F}(V2,V0,V1), pppp22-{F}(V2,V0), pppp0-{F}(V2,V0,V3), aElement0-{F}(V3), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V1), aElement0-{F}(V7), sdtmndtasgtdt0-{F}(V7,V0,V3), sdtmndtasgtdt0-{F}(V8,V0,V1), pppp20-{F}(V9,V8,V7,V0) | pppp23-{T}(V2,V0,V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #988: disj( #3, mergings( V0 == V11; #893 ) ), references = 1, size of lhs = 19:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp5-{F}(V3,V0,V2), pppp5-{F}(V4,V0,V2), pppp5-{F}(V5,V0,V2), pppp5-{F}(V6,V0,V2), pppp5-{F}(V7,V0,V2), aElement0-{F}(V8), aElement0-{F}(V9), pppp0-{F}(V9,V0,V2), pppp23-{F}(V9,V0,V1), pppp23-{F}(V9,V0,V8), pppp22-{F}(V9,V0), pppp5-{F}(V10,V0,V8), sdtmndtasgtdt0-{F}(V11,V0,V8), pppp20-{F}(V12,V11,V1,V0) | pppp23-{T}(V9,V0,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1057: disj( #64, mergings( V0 == V11; #893 ) ), references = 1, size of lhs = 15:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V3,V0,V2), aElement0-{F}(V4), aElement0-{F}(V5), pppp23-{F}(V5,V0,V1), pppp23-{F}(V5,V0,V4), pppp22-{F}(V5,V0), aReductOfIn0-{F}(V2,V5,V0), pppp5-{F}(V6,V0,V4), sdtmndtasgtdt0-{F}(V7,V0,V4), pppp20-{F}(V8,V7,V1,V0) | pppp27-{T}(V0,V2)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1243: exists( #67, #1241 ), references = 1, size of lhs = 11:
% 24.71/24.90 isTerminating0-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), pppp22-{F}(V3,V0), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4) | pppp18-{T}(V0,V2,V2), pppp18-{T}(V0,V2,V4)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1318: mergings( V4 == V5, V5 == V7; #1315 ), references = 1, size of lhs = 14:
% 24.71/24.90 isTerminating0-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1), iLess0-{F}(V2,V3), iLess0-{F}(V1,V3), pppp22-{F}(V3,V0), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V1,V0,V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), pppp5-{F}(V7,V0,V4) | pppp18-{T}(V0,V2,V4)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1469: mergings( V5 == V11; #1467 ), references = 1, size of lhs = 21:
% 24.71/24.90 aElement0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V1,V0,V2), pppp3-{F}(V2), aRewritingSystem0-{F}(V2), iLess0-{F}(V1,V3), pppp22-{F}(V3,V2), sdtmndtasgtdt0-{F}(V1,V2,V4), aElement0-{F}(V4), pppp5-{F}(V5,V2,V4), pppp5-{F}(V6,V2,V4), pppp5-{F}(V7,V2,V4), aElement0-{F}(V8), aElement0-{F}(V9), aReductOfIn0-{F}(V9,V0,V2), aReductOfIn0-{F}(V9,V8,V2), iLess0-{F}(V9,V3), aElement0-{F}(V10), aReductOfIn0-{F}(V10,V8,V2), sdtmndtasgtdt0-{F}(V11,V2,V4), pppp20-{F}(V12,V11,V10,V2) | pppp11-{T}(V2,V9,V1,V4), pppp11-{T}(V2,V9,V1,V9)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1477: mergings( V13 == V20, V11 == V18, V12 == V19, V3 == V10, V10 == V15; #1471 ), references = 1, size of lhs = 26:
% 24.71/24.90 aElement0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V1,V0,V2), pppp3-{F}(V2), aRewritingSystem0-{F}(V2), iLess0-{F}(V1,V3), pppp22-{F}(V3,V2), sdtmndtasgtdt0-{F}(V1,V2,V4), aElement0-{F}(V4), pppp5-{F}(V5,V2,V4), pppp5-{F}(V6,V2,V4), pppp5-{F}(V7,V2,V4), aElement0-{F}(V8), aElement0-{F}(V9), aElement0-{F}(V10), aReductOfIn0-{F}(V10,V0,V2), aReductOfIn0-{F}(V10,V8,V2), aReductOfIn0-{F}(V10,V9,V2), iLess0-{F}(V10,V3), pppp5-{F}(V11,V2,V4), pppp5-{F}(V12,V2,V4), aElement0-{F}(V13), aReductOfIn0-{F}(V13,V8,V2), aReductOfIn0-{F}(V13,V9,V2), sdtmndtasgtdt0-{F}(V14,V2,V4), pppp20-{F}(V15,V14,V13,V2) | pppp11-{T}(V2,V10,V1,V10)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1491: mergings( V9 == V13, V8 == V12, V13 == V27, V12 == V26, V15 == V16, V16 == V18, V18 == V19, V19 == V23; #1482 ), references = 1, size of lhs = 30:
% 24.71/24.90 aElement0-{F}(V0), aElement0-{F}(V1), pppp3-{F}(V2), aRewritingSystem0-{F}(V2), pppp5-{F}(V3,V2,V1), pppp5-{F}(V4,V2,V1), pppp5-{F}(V5,V2,V1), pppp5-{F}(V6,V2,V1), pppp5-{F}(V7,V2,V1), sdtmndtasgtdt0-{F}(V8,V2,V1), aElement0-{F}(V9), aReductOfIn0-{F}(V9,V0,V2), sdtmndtasgtdt0-{F}(V9,V2,V1), iLess0-{F}(V9,V10), pppp22-{F}(V10,V2), aElement0-{F}(V11), aReductOfIn0-{F}(V11,V0,V2), iLess0-{F}(V11,V10), sdtmndtasgtdt0-{F}(V9,V2,V12), aElement0-{F}(V12), sdtmndtasgtdt0-{F}(V8,V2,V12), pppp5-{F}(V13,V2,V12), pppp5-{F}(V14,V2,V12), aElement0-{F}(V15), aReductOfIn0-{F}(V11,V15,V2), pppp0-{F}(V15,V2,V16), aElement0-{F}(V16), pppp5-{F}(V17,V2,V12), pppp5-{F}(V18,V2,V12), pppp20-{F}(V19,V8,V16,V2) | pppp23-{T}(V15,V2,V16)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1730: mergings( V5 == V9; #1727 ), references = 3, size of lhs = 19:
% 24.71/24.90 pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), pppp22-{F}(V3,V0), 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), pppp5-{F}(V8,V0,V4), aElement0-{F}(V9), sdtmndtasgtdt0-{F}(V7,V0,V9), sdtmndtasgtdt0-{F}(V10,V0,V4), pppp20-{F}(V11,V10,V9,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1742: mergings( V0 == V6; #1740 ), references = 3, size of lhs = 15:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp23-{F}(V2,V0,V1), pppp22-{F}(V2,V0), pppp5-{F}(V3,V0,V1), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V2,V0), iLess0-{F}(V4,V2), aElement0-{F}(V5), sdtmndtasgtdt0-{F}(V4,V0,V5), sdtmndtasgtdt0-{F}(V6,V0,V1), pppp20-{F}(V7,V6,V5,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1755: exists( #4, #1753 ), references = 3, size of lhs = 12:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp23-{F}(V2,V0,V1), pppp22-{F}(V2,V0), pppp23-{F}(V2,V0,V3), aElement0-{F}(V3), pppp5-{F}(V4,V0,V1), sdtmndtasgtdt0-{F}(V5,V0,V1), pppp20-{F}(V6,V5,V3,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1812: exists( #4, #1810 ), references = 1, size of lhs = 15:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp23-{F}(V2,V0,V1), pppp22-{F}(V2,V0), pppp5-{F}(V3,V0,V1), aElement0-{F}(V4), V1 == V4, aReductOfIn0-{F}(V4,V2,V0), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), pppp5-{F}(V7,V0,V4), pppp5-{F}(V8,V0,V4) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1834: disj( #3, exists( #4, #1810 ) ), references = 1, size of lhs = 15:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp23-{F}(V2,V0,V1), pppp22-{F}(V2,V0), pppp0-{F}(V2,V0,V3), V1 == V3, aElement0-{F}(V3), pppp5-{F}(V4,V0,V1), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V3), pppp5-{F}(V7,V0,V3), pppp5-{F}(V8,V0,V3) | pppp23-{T}(V2,V0,V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1892: exists( #67, #1890 ), references = 2, size of lhs = 14:
% 24.71/24.90 isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), pppp22-{F}(V3,V0), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V1,V0), iLess0-{F}(V4,V3), aElement0-{F}(V5), sdtmndtasgtdt0-{F}(V4,V0,V5), pppp20-{F}(V6,V2,V5,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #1902: exists( #4, #1900 ), references = 1, size of lhs = 12:
% 24.71/24.90 pppp4-{F}(V0), isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp23-{F}(V2,V0,V1), pppp22-{F}(V2,V0), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), iLess0-{F}(V3,V2), pppp20-{F}(V4,V3,V1,V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2018: mergings( V4 == V7, V3 == V6; #2014 ), references = 1, size of lhs = 11:
% 24.71/24.90 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1), pppp22-{F}(V2,V0), pppp23-{F}(V2,V0,V3), aElement0-{F}(V3), pppp20-{F}(V4,V1,V3,V0) | pppp18-{T}(V0,V1,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2032: exists( #76, #2030 ), references = 1, size of lhs = 9:
% 24.71/24.90 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp22-{F}(V1,V0), pppp23-{F}(V1,V0,V2), pppp21-{F}(V1,V2,V0), aElement0-{F}(V2) | pppp20-{T}(V1,V1,V2,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2035: disj( #3, #2031+#79 ), references = 1, size of lhs = 12:
% 24.71/24.90 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp22-{F}(V1,V0), pppp0-{F}(V1,V0,V2), pppp21-{F}(V1,V2,V0), aElement0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2059: exists( #76, #2053 ), references = 1, size of lhs = 10:
% 24.71/24.90 aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp22-{F}(V1,V2), aRewritingSystem0-{F}(V2), pppp21-{F}(V0,V3,V2), sdtmndtasgtdt0-{F}(V0,V2,V4), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V3,V2,V4), pppp5-{F}(V5,V2,V4), pppp5-{F}(V6,V2,V4) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2061: mergings( V4 == V10; #2057 ), references = 1, size of lhs = 19:
% 24.71/24.90 aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp3-{F}(V2), aRewritingSystem0-{F}(V2), pppp22-{F}(V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V3), aElement0-{F}(V3), pppp5-{F}(V4,V2,V3), pppp5-{F}(V5,V2,V3), aElement0-{F}(V6), aElement0-{F}(V7), aReductOfIn0-{F}(V7,V6,V2), sdtmndtasgtdt0-{F}(V7,V2,V3), iLess0-{F}(V7,V1), pppp5-{F}(V8,V2,V3), pppp5-{F}(V9,V2,V3), aElement0-{F}(V10), pppp21-{F}(V0,V10,V2), aReductOfIn0-{F}(V10,V6,V2) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2063: mergings( V4 == V10; #2058 ), references = 1, size of lhs = 23:
% 24.71/24.90 aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp3-{F}(V2), aRewritingSystem0-{F}(V2), pppp22-{F}(V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V3), aElement0-{F}(V3), pppp5-{F}(V4,V2,V3), pppp5-{F}(V5,V2,V3), aElement0-{F}(V6), aElement0-{F}(V7), aReductOfIn0-{F}(V7,V6,V2), sdtmndtasgtdt0-{F}(V7,V2,V3), iLess0-{F}(V7,V1), pppp5-{F}(V8,V2,V3), pppp5-{F}(V9,V2,V3), aElement0-{F}(V10), aReductOfIn0-{F}(V10,V6,V2), iLess0-{F}(V10,V1), pppp5-{F}(V11,V2,V3), aElement0-{F}(V12), pppp21-{F}(V0,V12,V2), sdtmndtasgtdt0-{F}(V10,V2,V12) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2106: disj( #64, #149+#378+#47+#149+#135+#204 ), references = 1, size of lhs = 10:
% 24.71/24.90 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), sdtmndtasgtdt0-{F}(V4,V0,V3), sdtmndtasgtdt0-{F}(V5,V0,V3), pppp0-{F}(V3,V0,V6) | pppp27-{T}(V0,V3)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2174: disj( #64, exists( #4, #757 ) ), references = 1, size of lhs = 12:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V2,V0,V1), aElement0-{F}(V3), pppp23-{F}(V3,V0,V1), pppp22-{F}(V3,V0), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V3,V0), sdtmndtasgtdt0-{F}(V5,V0,V1), pppp20-{F}(V6,V5,V4,V0) | pppp27-{T}(V0,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2175: disj( #64, mergings( V0 == V6; #1740 ) ), references = 1, size of lhs = 15:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V2,V0,V1), aElement0-{F}(V3), pppp23-{F}(V3,V0,V1), pppp22-{F}(V3,V0), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V3,V0), iLess0-{F}(V4,V3), aElement0-{F}(V5), sdtmndtasgtdt0-{F}(V4,V0,V5), sdtmndtasgtdt0-{F}(V6,V0,V1), pppp20-{F}(V7,V6,V5,V0) | pppp27-{T}(V0,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2176: disj( #64, exists( #4, #1810 ) ), references = 1, size of lhs = 15:
% 24.71/24.90 pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V2,V0,V1), aElement0-{F}(V3), pppp23-{F}(V3,V0,V1), pppp22-{F}(V3,V0), aElement0-{F}(V4), V1 == V4, aReductOfIn0-{F}(V4,V3,V0), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), pppp5-{F}(V7,V0,V4), pppp5-{F}(V8,V0,V4) | pppp27-{T}(V0,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2252: mergings( V4 == V7, V3 == V6; #2247 ), references = 1, size of lhs = 11:
% 24.71/24.90 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1), pppp22-{F}(V2,V0), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), pppp20-{F}(V4,V1,V3,V0) | pppp18-{T}(V0,V1,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2255: mergings( V5 == V7, V3 == V6; #2248 ), references = 1, size of lhs = 11:
% 24.71/24.90 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1), pppp22-{F}(V2,V0), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), pppp20-{F}(V4,V1,V3,V0) | pppp18-{T}(V0,V1,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2258: mergings( V4 == V8, V3 == V7; #2249 ), references = 1, size of lhs = 15:
% 24.71/24.90 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1), pppp22-{F}(V2,V0), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), iLess0-{F}(V3,V2), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V2,V0), sdtmndtasgtdt0-{F}(V3,V0,V4), pppp20-{F}(V5,V1,V4,V0) | pppp18-{T}(V0,V1,V1)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2300: exists( #76, #2294 ), references = 1, size of lhs = 9:
% 24.71/24.90 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp22-{F}(V1,V0), aElement0-{F}(V2), pppp21-{F}(V1,V2,V0), aReductOfIn0-{F}(V2,V1,V0) | pppp20-{T}(V1,V1,V2,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2301: exists( #76, #2296 ), references = 1, size of lhs = 9:
% 24.71/24.90 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp22-{F}(V1,V0), aElement0-{F}(V2), pppp21-{F}(V1,V2,V0), aReductOfIn0-{F}(V2,V1,V0) | pppp20-{T}(V1,V1,V2,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2302: exists( #76, #2295 ), references = 1, size of lhs = 13:
% 24.71/24.90 pppp4-{F}(V0), isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp22-{F}(V1,V0), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V1), aElement0-{F}(V3), pppp21-{F}(V1,V3,V0), aReductOfIn0-{F}(V3,V1,V0), sdtmndtasgtdt0-{F}(V2,V0,V3) | pppp20-{T}(V1,V1,V3,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2313: exists( #73, #2311 ), references = 2, size of lhs = 6:
% 24.71/24.90 isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp22-{F}(V1,V0) | pppp21-{T}(V1,V1,V0)
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2321: exists( #72, #2319 ), references = 1, size of lhs = 5:
% 24.71/24.90 P_xR-{F}(V0), isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0) | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 #2328: exists( #85, #2326 ), references = 1, size of lhs = 0:
% 24.71/24.90 FALSE | FALSE
% 24.71/24.90 (used 0 times, uses = {})
% 24.71/24.90
% 24.71/24.90 number of learnt formulas = 62
% 24.71/24.90
% 24.71/24.90
% 24.71/24.90 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.71/24.90
% 24.71/24.90 randbase = 1
%------------------------------------------------------------------------------