TSTP Solution File: COM019+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM019+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 05:59:19 EDT 2022
% Result : Theorem 0.60s 0.84s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COM019+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 17:14:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.60/0.84 GeoParameters:
% 0.60/0.84
% 0.60/0.84 tptp_input = 1
% 0.60/0.84 tptp_output = 0
% 0.60/0.84 nonempty = 1
% 0.60/0.84 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.84 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.60/0.84
% 0.60/0.84
% 0.60/0.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.84 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.84
% 0.60/0.84 RuleSystem INPUT:
% 0.60/0.84
% 0.60/0.84 Initial Rules:
% 0.60/0.84 #0: input, references = 3, size of lhs = 3:
% 0.60/0.84 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #1: input, references = 4, size of lhs = 4:
% 0.60/0.84 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #2: input, references = 4, size of lhs = 4:
% 0.60/0.84 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #3: input, references = 4, size of lhs = 1:
% 0.60/0.84 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp20-{T}(V0,V1,V2)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #4: input, references = 4, size of lhs = 1:
% 0.60/0.84 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #5: input, references = 4, size of lhs = 1:
% 0.60/0.84 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #6: input, references = 3, size of lhs = 3:
% 0.60/0.84 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #7: input, references = 3, size of lhs = 1:
% 0.60/0.84 pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #8: input, references = 4, size of lhs = 1:
% 0.60/0.84 pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #9: input, references = 3, size of lhs = 1:
% 0.60/0.84 pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.60/0.84 (used 0 times, uses = {})
% 0.60/0.84
% 0.60/0.84 #10: input, references = 3, size of lhs = 6:
% 0.60/0.84 aElement0-{F}(V0), aElement0-{F}(V1), aRewritingSystem0-{F}(V2), sdtmndtplgtdt0-{F}(V1,V2,V0), aElement0-{F}(V3), sdtmndtplgtdt0-{F}(V3,V2,V1) | sdtmndtplgtdt0-{T}(V3,V2,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #11: input, references = 4, size of lhs = 4:
% 0.68/0.84 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #12: input, references = 3, size of lhs = 4:
% 0.68/0.84 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #13: input, references = 4, size of lhs = 2:
% 0.68/0.84 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #14: input, references = 3, size of lhs = 2:
% 0.68/0.84 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #15: input, references = 3, size of lhs = 1:
% 0.68/0.84 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #16: input, references = 5, size of lhs = 6:
% 0.68/0.84 aElement0-{F}(V0), aElement0-{F}(V1), aRewritingSystem0-{F}(V2), sdtmndtasgtdt0-{F}(V1,V2,V0), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V2,V1) | sdtmndtasgtdt0-{T}(V3,V2,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #17: input, references = 3, size of lhs = 2:
% 0.68/0.84 aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #18: input, references = 3, size of lhs = 2:
% 0.68/0.84 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #19: input, references = 3, size of lhs = 6:
% 0.68/0.84 pppp2-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V4,V0,V2), sdtmndtasgtdt0-{F}(V4,V0,V1) | EXISTS V3: pppp7-{T}(V0,V2,V1,V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #20: input, references = 3, size of lhs = 1:
% 0.68/0.84 #-{F} V0 | pppp2-{T}(V0), pppp21-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #21: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp21-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #22: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #23: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #24: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #25: input, references = 3, size of lhs = 4:
% 0.68/0.84 pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #26: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #27: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #28: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #29: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #30: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #31: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #32: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #33: input, references = 3, size of lhs = 2:
% 0.68/0.84 aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #34: input, references = 3, size of lhs = 2:
% 0.68/0.84 aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #35: input, references = 3, size of lhs = 6:
% 0.68/0.84 pppp3-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V4), aReductOfIn0-{F}(V2,V4,V0), aReductOfIn0-{F}(V1,V4,V0) | EXISTS V3: pppp11-{T}(V0,V2,V1,V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #36: input, references = 3, size of lhs = 1:
% 0.68/0.84 #-{F} V0 | pppp3-{T}(V0), pppp22-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #37: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp22-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #38: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #39: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #40: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #41: input, references = 3, size of lhs = 4:
% 0.68/0.84 pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #42: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #43: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #44: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #45: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #46: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #47: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #48: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #49: input, references = 4, size of lhs = 2:
% 0.68/0.84 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #50: input, references = 3, size of lhs = 2:
% 0.68/0.84 aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #51: input, references = 4, size of lhs = 4:
% 0.68/0.84 pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #52: input, references = 3, size of lhs = 1:
% 0.68/0.84 #-{F} V0 | pppp4-{T}(V0), pppp23-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #53: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp23-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #54: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #55: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #56: input, references = 3, size of lhs = 2:
% 0.68/0.84 pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #57: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #58: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #59: input, references = 6, size of lhs = 3:
% 0.68/0.84 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #60: input, references = 3, size of lhs = 3:
% 0.68/0.84 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #61: input, references = 6, size of lhs = 1:
% 0.68/0.84 pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #62: input, references = 6, size of lhs = 1:
% 0.68/0.84 pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #63: input, references = 4, size of lhs = 2:
% 0.68/0.84 pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #64: input, references = 4, size of lhs = 2:
% 0.68/0.84 aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp24-{T}(V1,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #65: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp24-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #66: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #67: input, references = 3, size of lhs = 3:
% 0.68/0.84 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #68: input, references = 3, size of lhs = 1:
% 0.68/0.84 pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #69: input, references = 4, size of lhs = 1:
% 0.68/0.84 P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #70: input, references = 3, size of lhs = 1:
% 0.68/0.84 P_xR-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #71: input, references = 4, size of lhs = 1:
% 0.68/0.84 P_xR-{F}(V0) | isTerminating0-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #72: input, references = 4, size of lhs = 4:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V1)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #73: input, references = 4, size of lhs = 4:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #74: input, references = 3, size of lhs = 4:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #75: input, references = 4, size of lhs = 10:
% 0.68/0.84 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)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #76: input, references = 5, size of lhs = 1:
% 0.68/0.84 pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #77: input, references = 4, size of lhs = 1:
% 0.68/0.84 pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #78: input, references = 4, size of lhs = 1:
% 0.68/0.84 pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #79: input, references = 3, size of lhs = 4:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #80: input, references = 3, size of lhs = 4:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #81: input, references = 4, size of lhs = 5:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4) | aElement0-{T}(V4)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #82: input, references = 4, size of lhs = 5:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4) | aReductOfIn0-{T}(V4,V1,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #83: input, references = 4, size of lhs = 5:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4) | sdtmndtasgtdt0-{T}(V4,V0,V2)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #84: input, references = 3, size of lhs = 6:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5) | aElement0-{T}(V5)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #85: input, references = 3, size of lhs = 6:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5) | aReductOfIn0-{T}(V5,V1,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #86: input, references = 3, size of lhs = 6:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5) | sdtmndtasgtdt0-{T}(V5,V0,V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #87: input, references = 5, size of lhs = 7:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5), P_xw-{F}(V6) | aElement0-{T}(V6)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #88: input, references = 5, size of lhs = 7:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5), P_xw-{F}(V6) | sdtmndtasgtdt0-{T}(V4,V0,V6)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #89: input, references = 3, size of lhs = 7:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5), P_xw-{F}(V6) | sdtmndtasgtdt0-{T}(V5,V0,V6)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #90: input, references = 6, size of lhs = 8:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5), P_xw-{F}(V6), P_xd-{F}(V7) | aNormalFormOfIn0-{T}(V7,V6,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #91: input, references = 6, size of lhs = 9:
% 0.68/0.84 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5), P_xw-{F}(V6), P_xd-{F}(V7), sdtmndtasgtdt0-{F}(V2,V0,V7) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #92: input, references = 4, size of lhs = 0:
% 0.68/0.84 FALSE | EXISTS V0: P_xR-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #93: input, references = 4, size of lhs = 0:
% 0.68/0.84 FALSE | EXISTS V0: P_xa-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #94: input, references = 4, size of lhs = 0:
% 0.68/0.84 FALSE | EXISTS V0: P_xb-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #95: input, references = 4, size of lhs = 0:
% 0.68/0.84 FALSE | EXISTS V0: P_xc-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #96: input, references = 4, size of lhs = 0:
% 0.68/0.84 FALSE | EXISTS V0: P_xu-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #97: input, references = 5, size of lhs = 0:
% 0.68/0.84 FALSE | EXISTS V0: P_xv-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #98: input, references = 5, size of lhs = 0:
% 0.68/0.84 FALSE | EXISTS V0: P_xw-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #99: input, references = 6, size of lhs = 0:
% 0.68/0.84 FALSE | EXISTS V0: P_xd-{T}(V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 number of initial rules = 100
% 0.68/0.84
% 0.68/0.84 Simplifiers:
% 0.68/0.84 #100: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #101: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #102: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #103: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #104: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #105: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #106: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #107: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 P_xb-{F}(V0), P_xb-{F}(V1), V0 == V1 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #108: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 P_xc-{F}(V0), P_xc-{F}(V1), V0 == V1 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #109: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 P_xu-{F}(V0), P_xu-{F}(V1), V0 == V1 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #110: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 P_xv-{F}(V0), P_xv-{F}(V1), V0 == V1 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #111: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 P_xw-{F}(V0), P_xw-{F}(V1), V0 == V1 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #112: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 P_xd-{F}(V0), P_xd-{F}(V1), V0 == V1 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #113: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #114: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #115: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #116: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #117: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #118: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #119: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #120: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #121: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #122: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #123: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #124: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #125: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #126: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #127: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #128: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #129: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #130: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #131: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #132: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #133: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #134: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #135: unsound, references = 3, size of lhs = 3:
% 0.68/0.84 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 number of simplifiers = 36
% 0.68/0.84
% 0.68/0.84 Learnt:
% 0.68/0.84 #148: mergings( V1 == V9, V2 == V8, V3 == V10, V4 == V11, V5 == V12, V6 == V13; #141 ), references = 2, size of lhs = 11:
% 0.68/0.84 aElement0-{F}(V0), P_xw-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0), P_xb-{F}(V2), P_xa-{F}(V3), P_xc-{F}(V4), P_xu-{F}(V5), P_xv-{F}(V6) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #164: mergings( V1 == V12, V2 == V7, V7 == V13, V3 == V8, V8 == V10, V4 == V9, V9 == V14, V5 == V10, V10 == V15, V6 == V11, V11 == V16; #152 ), references = 1, size of lhs = 8:
% 0.68/0.84 aElement0-{F}(V0), P_xb-{F}(V0), P_xu-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), P_xa-{F}(V2), P_xc-{F}(V3), P_xv-{F}(V4) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #175: mergings( V1 == V10, V2 == V6, V6 == V11, V3 == V7, V7 == V9, V4 == V8, V8 == V12, V5 == V9, V9 == V13; #165 ), references = 1, size of lhs = 7:
% 0.68/0.84 aElement0-{F}(V0), P_xb-{F}(V0), P_xu-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), P_xa-{F}(V2), P_xc-{F}(V3) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #177: disj( #64, input ), references = 1, size of lhs = 3:
% 0.68/0.84 aElement0-{F}(V0), aReductOfIn0-{F}(V1,V0,V2), sdtmndtasgtdt0-{F}(V3,V2,V0) | pppp24-{T}(V2,V0)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #183: disj( #3, input ), references = 2, size of lhs = 2:
% 0.68/0.84 pppp5-{F}(V0,V1,V2), pppp0-{F}(V2,V1,V3) | pppp20-{T}(V2,V1,V3)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #190: exists( #4, #188 ), references = 2, size of lhs = 2:
% 0.68/0.84 pppp5-{F}(V0,V1,V2), pppp20-{F}(V2,V1,V3) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #212: exists( #75, #210 ), references = 3, size of lhs = 13:
% 0.68/0.84 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)
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #229: mergings( V1 == V8, V8 == V12, V2 == V9, V9 == V11, V3 == V10, V10 == V13, V4 == V14, V5 == V15, V6 == V16; #219 ), references = 1, size of lhs = 12:
% 0.68/0.84 aElement0-{F}(V0), P_xw-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), iLess0-{F}(V0,V2), P_xa-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V0,V1,V3), P_xb-{F}(V3), P_xc-{F}(V4), P_xu-{F}(V5), P_xv-{F}(V6) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #261: mergings( V1 == V8, V8 == V13, V2 == V9, V9 == V12, V3 == V10, V10 == V14, V4 == V15, V5 == V16, V6 == V17; #251 ), references = 1, size of lhs = 14:
% 0.68/0.84 aElement0-{F}(V0), P_xw-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), P_xa-{F}(V3), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V2,V1,V4), P_xb-{F}(V4), P_xc-{F}(V5), P_xu-{F}(V6), P_xv-{F}(V7) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #284: mergings( V1 == V17, V2 == V7, V7 == V12, V12 == V18, V18 == V22, V3 == V8, V8 == V13, V13 == V19, V19 == V21, V4 == V9, V9 == V14, V14 == V20, V20 == V23, V5 == V10, V10 == V15, V15 == V24, V6 == V11, V11 == V16, V16 == V25; #264 ), references = 1, size of lhs = 11:
% 0.68/0.84 aElement0-{F}(V0), P_xu-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), iLess0-{F}(V0,V2), P_xa-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V0,V1,V3), P_xb-{F}(V3), P_xc-{F}(V4), P_xv-{F}(V5) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #302: mergings( V1 == V14, V2 == V6, V6 == V10, V10 == V15, V15 == V19, V3 == V7, V7 == V11, V11 == V16, V16 == V18, V4 == V8, V8 == V12, V12 == V17, V17 == V20, V5 == V9, V9 == V13, V13 == V21; #285 ), references = 1, size of lhs = 10:
% 0.68/0.84 aElement0-{F}(V0), P_xu-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), iLess0-{F}(V0,V2), P_xa-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V0,V1,V3), P_xb-{F}(V3), P_xc-{F}(V4) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #332: mergings( V5 == V21, V1 == V11, V11 == V21, V2 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V25, V3 == V6, V6 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V24, V4 == V7, V7 == V9, V9 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26; #309 ), references = 1, size of lhs = 8:
% 0.68/0.84 pppp4-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), P_xa-{F}(V1), aElement0-{F}(V2), P_xb-{F}(V2), P_xc-{F}(V3) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #355: mergings( V8 == V19, V1 == V3, V3 == V5, V5 == V12, V12 == V19, V4 == V6, V6 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V22, V2 == V7, V7 == V9, V9 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21; #335 ), references = 1, size of lhs = 5:
% 0.68/0.84 pppp4-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xb-{F}(V1), P_xa-{F}(V2) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #369: mergings( V6 == V13, V1 == V2, V2 == V4, V4 == V9, V9 == V13, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V14; #356 ), references = 1, size of lhs = 4:
% 0.68/0.84 pppp4-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #376: mergings( V4 == V6, V1 == V2, V2 == V3, V3 == V5, V5 == V6; #370 ), references = 1, size of lhs = 3:
% 0.68/0.84 pppp4-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0) | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 #381: exists( #92, #379 ), references = 1, size of lhs = 0:
% 0.68/0.84 FALSE | FALSE
% 0.68/0.84 (used 0 times, uses = {})
% 0.68/0.84
% 0.68/0.84 number of learnt formulas = 16
% 0.68/0.84
% 0.68/0.84
% 0.68/0.84 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.84
% 0.68/0.84 randbase = 1
%------------------------------------------------------------------------------