TSTP Solution File: COM013+4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 1.83s 2.01s
% Output : Refutation 1.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 16:59:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.83/2.01 GeoParameters:
% 1.83/2.01
% 1.83/2.01 tptp_input = 1
% 1.83/2.01 tptp_output = 0
% 1.83/2.01 nonempty = 1
% 1.83/2.01 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.83/2.01 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.83/2.01
% 1.83/2.01
% 1.83/2.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.83/2.01 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.83/2.01
% 1.83/2.01 RuleSystem INPUT:
% 1.83/2.01
% 1.83/2.01 Initial Rules:
% 1.83/2.01 #0: input, references = 4, size of lhs = 3:
% 1.83/2.01 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #1: input, references = 3, size of lhs = 4:
% 1.83/2.01 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #2: input, references = 7, size of lhs = 4:
% 1.83/2.01 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #3: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp25-{T}(V0,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #4: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp25-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #5: input, references = 6, size of lhs = 1:
% 1.83/2.01 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #6: input, references = 4, size of lhs = 3:
% 1.83/2.01 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #7: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #8: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #9: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #10: input, references = 3, size of lhs = 6:
% 1.83/2.01 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)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #11: input, references = 3, size of lhs = 4:
% 1.83/2.01 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #12: input, references = 8, size of lhs = 4:
% 1.83/2.01 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #13: input, references = 3, size of lhs = 2:
% 1.83/2.01 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #14: input, references = 4, size of lhs = 2:
% 1.83/2.01 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #15: input, references = 7, size of lhs = 1:
% 1.83/2.01 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #16: input, references = 3, size of lhs = 6:
% 1.83/2.01 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)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #17: input, references = 3, size of lhs = 2:
% 1.83/2.01 aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #18: input, references = 3, size of lhs = 2:
% 1.83/2.01 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #19: input, references = 4, size of lhs = 6:
% 1.83/2.01 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)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #20: input, references = 3, size of lhs = 1:
% 1.83/2.01 #-{F} V0 | pppp2-{T}(V0), pppp26-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #21: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp26-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #22: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #23: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #24: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #25: input, references = 3, size of lhs = 4:
% 1.83/2.01 pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #26: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #27: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #28: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #29: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #30: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #31: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #32: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #33: input, references = 3, size of lhs = 2:
% 1.83/2.01 aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #34: input, references = 3, size of lhs = 2:
% 1.83/2.01 aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #35: input, references = 3, size of lhs = 6:
% 1.83/2.01 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)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #36: input, references = 4, size of lhs = 1:
% 1.83/2.01 #-{F} V0 | pppp3-{T}(V0), pppp27-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #37: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp27-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #38: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #39: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #40: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #41: input, references = 4, size of lhs = 4:
% 1.83/2.01 pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #42: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #43: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #44: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #45: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #46: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #47: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #48: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #49: input, references = 4, size of lhs = 2:
% 1.83/2.01 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #50: input, references = 3, size of lhs = 2:
% 1.83/2.01 aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #51: input, references = 4, size of lhs = 4:
% 1.83/2.01 pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #52: input, references = 3, size of lhs = 1:
% 1.83/2.01 #-{F} V0 | pppp4-{T}(V0), pppp28-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #53: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp28-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #54: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #55: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #56: input, references = 3, size of lhs = 2:
% 1.83/2.01 pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #57: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #58: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #59: input, references = 4, size of lhs = 3:
% 1.83/2.01 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #60: input, references = 4, size of lhs = 3:
% 1.83/2.01 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #61: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #62: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #63: input, references = 4, size of lhs = 2:
% 1.83/2.01 pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #64: input, references = 5, size of lhs = 2:
% 1.83/2.01 aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp29-{T}(V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #65: input, references = 5, size of lhs = 1:
% 1.83/2.01 pppp29-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #66: input, references = 6, size of lhs = 1:
% 1.83/2.01 pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #67: input, references = 4, size of lhs = 1:
% 1.83/2.01 P_xR-{F}(V0) | pppp18-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #68: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp18-{F}(V0) | isTerminating0-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #69: input, references = 3, size of lhs = 4:
% 1.83/2.01 pppp18-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #70: input, references = 3, size of lhs = 6:
% 1.83/2.01 pppp18-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), sdtmndtplgtdt0-{F}(V3,V0,V1) | iLess0-{T}(V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #71: input, references = 3, size of lhs = 4:
% 1.83/2.01 pppp18-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V1,V2,V0) | iLess0-{T}(V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #72: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp18-{F}(V0) | aRewritingSystem0-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #73: input, references = 4, size of lhs = 1:
% 1.83/2.01 P_xR-{F}(V0) | EXISTS V1: pppp24-{T}(V1,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #74: input, references = 5, size of lhs = 2:
% 1.83/2.01 pppp24-{F}(V0,V1), aNormalFormOfIn0-{F}(V2,V0,V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #75: input, references = 4, size of lhs = 2:
% 1.83/2.01 pppp24-{F}(V0,V1), aElement0-{F}(V2) | pppp23-{T}(V0,V2,V1), pppp30-{T}(V2,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #76: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp30-{F}(V0,V1) | EXISTS V2: pppp22-{T}(V0,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #77: input, references = 5, size of lhs = 3:
% 1.83/2.01 pppp24-{F}(V0,V1), aElement0-{F}(V2), iLess0-{F}(V2,V0) | EXISTS V3: pppp21-{T}(V2,V1,V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #78: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp24-{F}(V0,V1) | aElement0-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #79: input, references = 3, size of lhs = 2:
% 1.83/2.01 pppp23-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #80: input, references = 3, size of lhs = 2:
% 1.83/2.01 pppp23-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #81: input, references = 3, size of lhs = 4:
% 1.83/2.01 pppp23-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #82: input, references = 3, size of lhs = 2:
% 1.83/2.01 pppp23-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #83: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp23-{F}(V1,V1,V2) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #84: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp22-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #85: input, references = 6, size of lhs = 1:
% 1.83/2.01 pppp21-{F}(V0,V1,V2) | pppp20-{T}(V0,V2,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #86: input, references = 5, size of lhs = 1:
% 1.83/2.01 pppp20-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V1,V0,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #87: input, references = 4, size of lhs = 2:
% 1.83/2.01 pppp20-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V1,V2) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #88: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp20-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V2,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #89: input, references = 4, size of lhs = 2:
% 1.83/2.01 pppp20-{F}(V0,V1,V2), V0 == V1 | sdtmndtplgtdt0-{T}(V0,V2,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #90: input, references = 3, size of lhs = 2:
% 1.83/2.01 pppp20-{F}(V0,V1,V2), V0 == V1 | aReductOfIn0-{T}(V1,V0,V2), pppp31-{T}(V0,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #91: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp31-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V0,V1,V3,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #92: input, references = 4, size of lhs = 1:
% 1.83/2.01 pppp20-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #93: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp19-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #94: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp19-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #95: input, references = 3, size of lhs = 1:
% 1.83/2.01 pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #96: input, references = 4, size of lhs = 0:
% 1.83/2.01 FALSE | EXISTS V0: P_xR-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 number of initial rules = 97
% 1.83/2.01
% 1.83/2.01 Simplifiers:
% 1.83/2.01 #97: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #98: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #99: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #100: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #101: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #102: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #103: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #104: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #105: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #106: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #107: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #108: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #109: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #110: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #111: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #112: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #113: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #114: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #115: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #116: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #117: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #118: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #119: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #120: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #121: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #122: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #123: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #124: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #125: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #126: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp20-{F}(V0,V1,V2), pppp20-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #127: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #128: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #129: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp21-{F}(V0,V1,V2), pppp21-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #130: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp22-{F}(V0,V1,V2), pppp22-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #131: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #132: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V4,V2), V0 == V3 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #133: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #134: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp24-{F}(V0,V1), pppp24-{F}(V2,V1), V0 == V2 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #135: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp24-{F}(V0,V1), pppp24-{F}(V2,V3), V1 == V3 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #136: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp30-{F}(V0,V1), pppp30-{F}(V2,V3), V1 == V3 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #137: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp31-{F}(V0,V1,V2), pppp31-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #138: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 pppp31-{F}(V0,V1,V2), pppp31-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 number of simplifiers = 42
% 1.83/2.01
% 1.83/2.01 Learnt:
% 1.83/2.01 #163: mergings( V0 == V2; #161 ), references = 1, size of lhs = 3:
% 1.83/2.01 aElement0-{F}(V0), iLess0-{F}(V0,V0), pppp24-{F}(V0,V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #202: disj( #64, #60+#74 ), references = 4, size of lhs = 5:
% 1.83/2.01 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0), pppp24-{F}(V2,V1) | pppp29-{T}(V1,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #229: disj( #75, input ), references = 1, size of lhs = 3:
% 1.83/2.01 aElement0-{F}(V0), pppp24-{F}(V1,V2), sdtmndtasgtdt0-{F}(V1,V2,V0) | pppp30-{T}(V0,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #230: disj( #75, input ), references = 1, size of lhs = 3:
% 1.83/2.01 aElement0-{F}(V0), pppp24-{F}(V1,V2), sdtmndtplgtdt0-{F}(V1,V2,V0) | pppp30-{T}(V0,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #231: disj( #75, input ), references = 1, size of lhs = 3:
% 1.83/2.01 aElement0-{F}(V0), pppp24-{F}(V1,V2), aReductOfIn0-{F}(V0,V1,V2) | pppp30-{T}(V0,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #342: disj( #64, input ), references = 1, size of lhs = 3:
% 1.83/2.01 aElement0-{F}(V0), aReductOfIn0-{F}(V1,V0,V2), sdtmndtasgtdt0-{F}(V3,V2,V0) | pppp29-{T}(V2,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #402: exists( #19, #400 ), references = 1, size of lhs = 7:
% 1.83/2.01 pppp2-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp13-{F}(V0,V2,V1), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V0,V2), sdtmndtasgtdt0-{F}(V3,V0,V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #415: exists( #40, #413 ), references = 1, size of lhs = 5:
% 1.83/2.01 aRewritingSystem0-{F}(V0), pppp2-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp13-{F}(V0,V2,V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #418: exists( #38, #416 ), references = 1, size of lhs = 4:
% 1.83/2.01 aRewritingSystem0-{F}(V0), pppp2-{F}(V0), pppp14-{F}(V0,V1), aElement0-{F}(V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #421: exists( #37, #419 ), references = 1, size of lhs = 3:
% 1.83/2.01 pppp27-{F}(V0), aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #423: disj( #36, exists( #37, #419 ) ), references = 1, size of lhs = 2:
% 1.83/2.01 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | pppp3-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #432: exists( #65, #428 ), references = 1, size of lhs = 2:
% 1.83/2.01 pppp29-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #433: exists( #65, #429 ), references = 2, size of lhs = 2:
% 1.83/2.01 pppp29-{F}(V0,V1), pppp20-{F}(V2,V1,V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #455: mergings( V0 == V4; #452 ), references = 1, size of lhs = 6:
% 1.83/2.01 aElement0-{F}(V0), iLess0-{F}(V0,V1), aElement0-{F}(V1), aRewritingSystem0-{F}(V2), aReductOfIn0-{F}(V0,V1,V2), pppp24-{F}(V1,V2) | pppp21-{T}(V0,V2,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #468: exists( #65, #466 ), references = 2, size of lhs = 5:
% 1.83/2.01 pppp4-{F}(V0), aRewritingSystem0-{F}(V0), pppp29-{F}(V0,V1), aElement0-{F}(V1), pppp24-{F}(V1,V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #477: exists( #73, #475 ), references = 1, size of lhs = 3:
% 1.83/2.01 P_xR-{F}(V0), pppp4-{F}(V0), aRewritingSystem0-{F}(V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #483: exists( #96, #481 ), references = 1, size of lhs = 0:
% 1.83/2.01 FALSE | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 number of learnt formulas = 17
% 1.83/2.01
% 1.83/2.01
% 1.83/2.01 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.83/2.01
% 1.83/2.01 randbase = 1
%------------------------------------------------------------------------------