TSTP Solution File: COM017+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM017+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 0.53s 0.69s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM017+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 16:59:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.53/0.69 GeoParameters:
% 0.53/0.69
% 0.53/0.69 tptp_input = 1
% 0.53/0.69 tptp_output = 0
% 0.53/0.69 nonempty = 1
% 0.53/0.69 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.69 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.53/0.69
% 0.53/0.69
% 0.53/0.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.69
% 0.53/0.69 RuleSystem INPUT:
% 0.53/0.69
% 0.53/0.69 Initial Rules:
% 0.53/0.69 #0: input, references = 3, size of lhs = 3:
% 0.53/0.69 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #1: input, references = 3, size of lhs = 4:
% 0.53/0.69 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #2: input, references = 3, size of lhs = 4:
% 0.53/0.69 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #3: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp20-{T}(V0,V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #4: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #5: input, references = 3, size of lhs = 1:
% 0.53/0.69 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #6: input, references = 3, size of lhs = 3:
% 0.53/0.69 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #7: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #8: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #9: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #10: input, references = 3, size of lhs = 6:
% 0.53/0.69 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)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #11: input, references = 3, size of lhs = 4:
% 0.53/0.69 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #12: input, references = 3, size of lhs = 4:
% 0.53/0.69 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #13: input, references = 3, size of lhs = 2:
% 0.53/0.69 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #14: input, references = 3, size of lhs = 2:
% 0.53/0.69 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #15: input, references = 3, size of lhs = 1:
% 0.53/0.69 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #16: input, references = 3, size of lhs = 6:
% 0.53/0.69 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)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #17: input, references = 3, size of lhs = 2:
% 0.53/0.69 aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #18: input, references = 3, size of lhs = 2:
% 0.53/0.69 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #19: input, references = 3, size of lhs = 6:
% 0.53/0.69 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)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #20: input, references = 3, size of lhs = 1:
% 0.53/0.69 #-{F} V0 | pppp2-{T}(V0), pppp21-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #21: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp21-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #22: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #23: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #24: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #25: input, references = 3, size of lhs = 4:
% 0.53/0.69 pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #26: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #27: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #28: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #29: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #30: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #31: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #32: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #33: input, references = 4, size of lhs = 2:
% 0.53/0.69 aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #34: input, references = 3, size of lhs = 2:
% 0.53/0.69 aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #35: input, references = 4, size of lhs = 6:
% 0.53/0.69 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)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #36: input, references = 3, size of lhs = 1:
% 0.53/0.69 #-{F} V0 | pppp3-{T}(V0), pppp22-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #37: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp22-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #38: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #39: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #40: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #41: input, references = 3, size of lhs = 4:
% 0.53/0.69 pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #42: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #43: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #44: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #45: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #46: input, references = 4, size of lhs = 1:
% 0.53/0.69 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #47: input, references = 4, size of lhs = 1:
% 0.53/0.69 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #48: input, references = 4, size of lhs = 1:
% 0.53/0.69 pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #49: input, references = 3, size of lhs = 2:
% 0.53/0.69 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #50: input, references = 3, size of lhs = 2:
% 0.53/0.69 aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #51: input, references = 3, size of lhs = 4:
% 0.53/0.69 pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #52: input, references = 3, size of lhs = 1:
% 0.53/0.69 #-{F} V0 | pppp4-{T}(V0), pppp23-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #53: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp23-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #54: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #55: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #56: input, references = 3, size of lhs = 2:
% 0.53/0.69 pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #57: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #58: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #59: input, references = 3, size of lhs = 3:
% 0.53/0.69 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #60: input, references = 3, size of lhs = 3:
% 0.53/0.69 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #61: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #62: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #63: input, references = 3, size of lhs = 2:
% 0.53/0.69 pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #64: input, references = 3, size of lhs = 2:
% 0.53/0.69 aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp24-{T}(V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #65: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp24-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #66: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #67: input, references = 3, size of lhs = 3:
% 0.53/0.69 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #68: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #69: input, references = 4, size of lhs = 1:
% 0.53/0.69 P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #70: input, references = 4, size of lhs = 1:
% 0.53/0.69 P_xR-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #71: input, references = 3, size of lhs = 1:
% 0.53/0.69 P_xR-{F}(V0) | isTerminating0-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #72: input, references = 4, size of lhs = 4:
% 0.53/0.69 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V1)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #73: input, references = 3, size of lhs = 4:
% 0.53/0.69 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #74: input, references = 3, size of lhs = 4:
% 0.53/0.69 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V3)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #75: input, references = 3, size of lhs = 10:
% 0.53/0.69 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)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #76: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #77: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #78: input, references = 3, size of lhs = 1:
% 0.53/0.69 pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #79: input, references = 3, size of lhs = 4:
% 0.53/0.69 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #80: input, references = 3, size of lhs = 4:
% 0.53/0.69 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V3)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #81: input, references = 4, size of lhs = 5:
% 0.53/0.69 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4) | aElement0-{T}(V4)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #82: input, references = 4, size of lhs = 5:
% 0.53/0.69 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)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #83: input, references = 4, size of lhs = 5:
% 0.53/0.69 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)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #84: input, references = 4, size of lhs = 6:
% 0.53/0.69 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)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #85: input, references = 4, size of lhs = 6:
% 0.53/0.69 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)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #86: input, references = 4, size of lhs = 6:
% 0.53/0.69 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)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #87: input, references = 5, size of lhs = 9:
% 0.53/0.69 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-{F}(V6), sdtmndtasgtdt0-{F}(V4,V0,V6), sdtmndtasgtdt0-{F}(V5,V0,V6) | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #88: input, references = 4, size of lhs = 0:
% 0.53/0.69 FALSE | EXISTS V0: P_xR-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #89: input, references = 4, size of lhs = 0:
% 0.53/0.69 FALSE | EXISTS V0: P_xa-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #90: input, references = 4, size of lhs = 0:
% 0.53/0.69 FALSE | EXISTS V0: P_xb-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #91: input, references = 4, size of lhs = 0:
% 0.53/0.69 FALSE | EXISTS V0: P_xc-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #92: input, references = 5, size of lhs = 0:
% 0.53/0.69 FALSE | EXISTS V0: P_xu-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #93: input, references = 5, size of lhs = 0:
% 0.53/0.69 FALSE | EXISTS V0: P_xv-{T}(V0)
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 number of initial rules = 94
% 0.53/0.69
% 0.53/0.69 Simplifiers:
% 0.53/0.69 #94: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #95: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #96: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #97: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #98: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #99: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #100: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #101: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 P_xb-{F}(V0), P_xb-{F}(V1), V0 == V1 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #102: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 P_xc-{F}(V0), P_xc-{F}(V1), V0 == V1 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #103: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 P_xu-{F}(V0), P_xu-{F}(V1), V0 == V1 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #104: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 P_xv-{F}(V0), P_xv-{F}(V1), V0 == V1 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #105: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #106: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #107: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #108: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #109: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #110: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #111: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #112: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.53/0.69 (used 0 times, uses = {})
% 0.53/0.69
% 0.53/0.69 #113: unsound, references = 3, size of lhs = 3:
% 0.53/0.69 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #114: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #115: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #116: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #117: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #118: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #119: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #120: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #121: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #122: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #123: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #124: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #125: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #126: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #127: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 number of simplifiers = 34
% 0.53/0.70
% 0.53/0.70 Learnt:
% 0.53/0.70 #134: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V9; #129 ), references = 2, size of lhs = 7:
% 0.53/0.70 aElement0-{F}(V0), P_xc-{F}(V0), P_xR-{F}(V1), P_xa-{F}(V2), P_xb-{F}(V3), P_xu-{F}(V4), sdtmndtasgtdt0-{F}(V4,V1,V0) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #140: mergings( V1 == V5, V2 == V6, V6 == V3; #136 ), references = 1, size of lhs = 5:
% 0.53/0.70 aElement0-{F}(V0), P_xc-{F}(V0), P_xb-{F}(V0), P_xR-{F}(V1), P_xa-{F}(V2) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #191: exists( #35, #189 ), references = 2, size of lhs = 12:
% 0.53/0.70 pppp3-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), P_xu-{F}(V1), aElement0-{F}(V2), P_xv-{F}(V2), aElement0-{F}(V3), aReductOfIn0-{F}(V2,V3,V0), aReductOfIn0-{F}(V1,V3,V0), P_xa-{F}(V4), P_xb-{F}(V5), P_xc-{F}(V6) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #205: mergings( V1 == V10, V2 == V6, V6 == V12, V3 == V7, V7 == V13, V4 == V8, V8 == V14, V5 == V9, V9 == V11; #195 ), references = 1, size of lhs = 9:
% 0.53/0.70 aElement0-{F}(V0), P_xa-{F}(V0), pppp3-{F}(V1), P_xR-{F}(V1), aElement0-{F}(V2), P_xu-{F}(V2), aReductOfIn0-{F}(V2,V0,V1), P_xb-{F}(V3), P_xc-{F}(V4) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #222: mergings( V1 == V7, V7 == V14, V2 == V8, V8 == V11, V11 == V15, V3 == V5, V5 == V9, V9 == V12, V12 == V16, V4 == V6, V6 == V10, V10 == V13, V13 == V17; #208 ), references = 1, size of lhs = 6:
% 0.53/0.70 aElement0-{F}(V0), P_xa-{F}(V0), pppp3-{F}(V1), P_xR-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #236: mergings( V1 == V3, V3 == V7, V7 == V12, V4 == V8, V8 == V10, V10 == V13, V2 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V14; #224 ), references = 1, size of lhs = 4:
% 0.53/0.70 pppp3-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #244: mergings( V1 == V2, V2 == V4, V4 == V7, V3 == V5, V5 == V6, V6 == V8; #237 ), references = 1, size of lhs = 3:
% 0.53/0.70 pppp3-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #249: mergings( V1 == V2, V2 == V3, V3 == V4; #245 ), references = 1, size of lhs = 2:
% 0.53/0.70 pppp3-{F}(V0), P_xR-{F}(V0) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #254: exists( #88, #252 ), references = 1, size of lhs = 0:
% 0.53/0.70 FALSE | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 number of learnt formulas = 9
% 0.53/0.70
% 0.53/0.70
% 0.53/0.70 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.70
% 0.53/0.70 randbase = 1
%------------------------------------------------------------------------------