TSTP Solution File: COM016+4 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM016+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 05:59:18 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : COM016+4 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 17:06:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 GeoParameters:
% 0.19/0.49
% 0.19/0.49 tptp_input = 1
% 0.19/0.49 tptp_output = 0
% 0.19/0.49 nonempty = 1
% 0.19/0.49 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49
% 0.19/0.49 RuleSystem INPUT:
% 0.19/0.49
% 0.19/0.49 Initial Rules:
% 0.19/0.49 #0: input, references = 3, size of lhs = 3:
% 0.19/0.49 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #1: input, references = 3, size of lhs = 4:
% 0.19/0.49 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #2: input, references = 3, size of lhs = 4:
% 0.19/0.49 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #3: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp33-{T}(V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #4: input, references = 4, size of lhs = 1:
% 0.19/0.49 pppp33-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #5: input, references = 3, size of lhs = 1:
% 0.19/0.49 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #6: input, references = 3, size of lhs = 3:
% 0.19/0.49 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #7: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #8: input, references = 4, size of lhs = 1:
% 0.19/0.49 pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #9: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #10: input, references = 3, size of lhs = 6:
% 0.19/0.49 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)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #11: input, references = 3, size of lhs = 4:
% 0.19/0.49 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #12: input, references = 3, size of lhs = 4:
% 0.19/0.49 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #13: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #14: input, references = 3, size of lhs = 2:
% 0.19/0.49 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #15: input, references = 3, size of lhs = 1:
% 0.19/0.49 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #16: input, references = 3, size of lhs = 6:
% 0.19/0.49 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)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #17: input, references = 3, size of lhs = 2:
% 0.19/0.49 aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #18: input, references = 3, size of lhs = 2:
% 0.19/0.49 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #19: input, references = 3, size of lhs = 6:
% 0.19/0.49 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)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #20: input, references = 3, size of lhs = 1:
% 0.19/0.49 #-{F} V0 | pppp2-{T}(V0), pppp34-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #21: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp34-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #22: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #23: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #24: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #25: input, references = 3, size of lhs = 4:
% 0.19/0.49 pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #26: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #27: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #28: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #29: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #30: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #31: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #32: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #33: input, references = 3, size of lhs = 2:
% 0.19/0.49 aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #34: input, references = 3, size of lhs = 2:
% 0.19/0.49 aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #35: input, references = 3, size of lhs = 6:
% 0.19/0.49 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)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #36: input, references = 3, size of lhs = 1:
% 0.19/0.49 #-{F} V0 | pppp3-{T}(V0), pppp35-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #37: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp35-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #38: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #39: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #40: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #41: input, references = 3, size of lhs = 4:
% 0.19/0.49 pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #42: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #43: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #44: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #45: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #46: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #47: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #48: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #49: input, references = 3, size of lhs = 2:
% 0.19/0.49 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #50: input, references = 3, size of lhs = 2:
% 0.19/0.49 aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #51: input, references = 3, size of lhs = 4:
% 0.19/0.49 pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #52: input, references = 3, size of lhs = 1:
% 0.19/0.49 #-{F} V0 | pppp4-{T}(V0), pppp36-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #53: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp36-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #54: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #55: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #56: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #57: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #58: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #59: input, references = 3, size of lhs = 3:
% 0.19/0.49 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #60: input, references = 3, size of lhs = 3:
% 0.19/0.49 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #61: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #62: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #63: input, references = 4, size of lhs = 2:
% 0.19/0.49 pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #64: input, references = 4, size of lhs = 2:
% 0.19/0.49 aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp37-{T}(V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #65: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp37-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #66: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #67: input, references = 3, size of lhs = 3:
% 0.19/0.49 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #68: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #69: input, references = 3, size of lhs = 1:
% 0.19/0.49 P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #70: input, references = 3, size of lhs = 1:
% 0.19/0.49 P_xR-{F}(V0) | pppp23-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #71: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp23-{F}(V0) | isTerminating0-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #72: input, references = 3, size of lhs = 4:
% 0.19/0.49 pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #73: input, references = 3, size of lhs = 6:
% 0.19/0.49 pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), sdtmndtplgtdt0-{F}(V3,V0,V1) | iLess0-{T}(V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #74: input, references = 3, size of lhs = 4:
% 0.19/0.49 pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V1,V2,V0) | iLess0-{T}(V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #75: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp23-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #76: input, references = 3, size of lhs = 6:
% 0.19/0.49 pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V4), aReductOfIn0-{F}(V2,V4,V0), aReductOfIn0-{F}(V1,V4,V0) | EXISTS V3: pppp22-{T}(V2,V1,V0,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #77: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp22-{F}(V0,V1,V2,V3) | pppp21-{T}(V0,V1,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #78: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp21-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #79: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp21-{F}(V0,V1,V2,V3), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #80: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp21-{F}(V0,V1,V2,V3), V1 == V2 | aReductOfIn0-{T}(V2,V1,V3), pppp38-{T}(V1,V2,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #81: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp38-{F}(V0,V1,V2) | EXISTS V3: pppp20-{T}(V0,V1,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #82: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp21-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #83: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp21-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #84: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp21-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V3), pppp39-{T}(V0,V2,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #85: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp39-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V0,V1,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #86: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp21-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #87: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp20-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #88: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp20-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #89: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp20-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #90: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp19-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #91: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp19-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #92: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #93: input, references = 3, size of lhs = 4:
% 0.19/0.49 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #94: input, references = 4, size of lhs = 4:
% 0.19/0.49 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #95: input, references = 3, size of lhs = 4:
% 0.19/0.49 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #96: input, references = 3, size of lhs = 8:
% 0.19/0.49 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), aElement0-{F}(V6) | pppp29-{T}(V4,V5,V0), pppp28-{T}(V4,V6,V0), pppp40-{T}(V6,V5,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #97: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp40-{F}(V0,V1,V2) | EXISTS V3: pppp27-{T}(V0,V1,V2,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #98: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp29-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #99: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp29-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #100: input, references = 3, size of lhs = 4:
% 0.19/0.49 pppp29-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #101: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp29-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #102: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp29-{F}(V1,V1,V2) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #103: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp28-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #104: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp28-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #105: input, references = 3, size of lhs = 4:
% 0.19/0.49 pppp28-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #106: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp28-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #107: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp28-{F}(V1,V1,V2) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #108: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp27-{F}(V0,V1,V2,V3) | pppp26-{T}(V0,V1,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #109: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp26-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #110: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp26-{F}(V0,V1,V2,V3), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #111: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp26-{F}(V0,V1,V2,V3), V1 == V2 | aReductOfIn0-{T}(V2,V1,V3), pppp41-{T}(V1,V2,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #112: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp41-{F}(V0,V1,V2) | EXISTS V3: pppp25-{T}(V0,V1,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #113: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp26-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #114: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp26-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #115: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp26-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V3), pppp42-{T}(V0,V2,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #116: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp42-{F}(V0,V1,V2) | EXISTS V3: pppp24-{T}(V0,V1,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #117: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp26-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #118: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp25-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #119: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp25-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #120: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp25-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #121: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp24-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #122: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp24-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #123: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp24-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #124: input, references = 5, size of lhs = 4:
% 0.19/0.49 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aReductOfIn0-{T}(V2,V1,V0), pppp43-{T}(V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #125: input, references = 4, size of lhs = 1:
% 0.19/0.49 pppp43-{F}(V0,V1,V2) | EXISTS V3: pppp30-{T}(V3,V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #126: input, references = 3, size of lhs = 4:
% 0.19/0.49 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #127: input, references = 3, size of lhs = 4:
% 0.19/0.49 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aReductOfIn0-{T}(V3,V1,V0), pppp44-{T}(V0,V1,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #128: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp44-{F}(V0,V1,V2) | EXISTS V3: pppp31-{T}(V3,V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #129: input, references = 3, size of lhs = 4:
% 0.19/0.49 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #130: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp31-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #131: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp31-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #132: input, references = 3, size of lhs = 1:
% 0.19/0.49 pppp31-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #133: input, references = 4, size of lhs = 1:
% 0.19/0.49 pppp30-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #134: input, references = 4, size of lhs = 1:
% 0.19/0.49 pppp30-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #135: input, references = 4, size of lhs = 1:
% 0.19/0.49 pppp30-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #136: input, references = 5, size of lhs = 6:
% 0.19/0.49 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V1,V0) | pppp32-{T}(V4,V0,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #137: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp32-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #138: input, references = 4, size of lhs = 2:
% 0.19/0.49 pppp32-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V1,V2) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #139: input, references = 3, size of lhs = 4:
% 0.19/0.49 pppp32-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #140: input, references = 3, size of lhs = 2:
% 0.19/0.49 pppp32-{F}(V0,V1,V2), aReductOfIn0-{F}(V2,V0,V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #141: input, references = 4, size of lhs = 1:
% 0.19/0.49 pppp32-{F}(V2,V1,V2) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #142: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_xR-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #143: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_xa-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #144: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_xb-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #145: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_xc-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 number of initial rules = 146
% 0.19/0.49
% 0.19/0.49 Simplifiers:
% 0.19/0.49 #146: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #147: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #148: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #149: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #150: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #151: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #152: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #153: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_xb-{F}(V0), P_xb-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #154: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_xc-{F}(V0), P_xc-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #155: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #156: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #157: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #158: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #159: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #160: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #161: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #162: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #163: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #164: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #165: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #166: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #167: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #168: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #169: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #170: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #171: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #172: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #173: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #174: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #175: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #176: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #177: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #178: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #179: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #180: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #181: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #182: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #183: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #184: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #185: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #186: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #187: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp25-{F}(V0,V1,V2,V3), pppp25-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #188: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp25-{F}(V0,V1,V2,V3), pppp25-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #189: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #190: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #191: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #192: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #193: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp28-{F}(V0,V1,V2), pppp28-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #194: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp29-{F}(V0,V1,V2), pppp29-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #195: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #196: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #197: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #198: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #199: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #200: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #201: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #202: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #203: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp32-{F}(V0,V1,V2), pppp32-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #204: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp32-{F}(V0,V1,V2), pppp32-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #205: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp38-{F}(V0,V1,V2), pppp38-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #206: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp39-{F}(V0,V1,V2), pppp39-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #207: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp40-{F}(V0,V1,V2), pppp40-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #208: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp41-{F}(V0,V1,V2), pppp41-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #209: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp42-{F}(V0,V1,V2), pppp42-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #210: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp43-{F}(V0,V1,V2), pppp43-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #211: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp43-{F}(V0,V1,V2), pppp43-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #212: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp43-{F}(V0,V1,V2), pppp43-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #213: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp44-{F}(V0,V1,V2), pppp44-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #214: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp44-{F}(V0,V1,V2), pppp44-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #215: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 pppp44-{F}(V0,V1,V2), pppp44-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 number of simplifiers = 70
% 0.19/0.49
% 0.19/0.49 Learnt:
% 0.19/0.49 #217: disj( #124, input ), references = 1, size of lhs = 5:
% 0.19/0.49 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), pppp5-{F}(V4,V0,V1) | pppp43-{T}(V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #220: exists( #4, #218 ), references = 1, size of lhs = 2:
% 0.19/0.49 pppp5-{F}(V0,V1,V2), pppp33-{F}(V2,V1,V3) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #222: disj( #64, exists( #4, #218 ) ), references = 1, size of lhs = 3:
% 0.19/0.49 aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp33-{F}(V0,V2,V3) | pppp37-{T}(V2,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #230: mergings( V3 == V4; #227 ), references = 1, size of lhs = 5:
% 0.19/0.49 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), aElement0-{F}(V2), P_xc-{F}(V3) | pppp43-{T}(V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #249: exists( #125, #246 ), references = 1, size of lhs = 5:
% 0.19/0.49 P_xR-{F}(V0), P_xa-{F}(V1), pppp43-{F}(V0,V1,V2), P_xb-{F}(V2), P_xc-{F}(V3) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #258: mergings( V1 == V4, V2 == V5; #254 ), references = 1, size of lhs = 3:
% 0.19/0.49 P_xb-{F}(V0), P_xR-{F}(V1), P_xa-{F}(V2) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #263: mergings( V1 == V3, V2 == V4; #259 ), references = 1, size of lhs = 2:
% 0.19/0.49 P_xR-{F}(V0), P_xa-{F}(V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #267: mergings( V1 == V2; #264 ), references = 1, size of lhs = 1:
% 0.19/0.49 P_xR-{F}(V0) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #271: exists( #142, #264 ), references = 1, size of lhs = 0:
% 0.19/0.49 FALSE | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 number of learnt formulas = 9
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49
% 0.19/0.49 randbase = 1
%------------------------------------------------------------------------------