TSTP Solution File: COM016+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM016+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 0.17s 0.45s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM016+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jul 22 17:00:42 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.45 GeoParameters:
% 0.17/0.45
% 0.17/0.45 tptp_input = 1
% 0.17/0.45 tptp_output = 0
% 0.17/0.45 nonempty = 1
% 0.17/0.45 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.17/0.45
% 0.17/0.45
% 0.17/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45
% 0.17/0.45 RuleSystem INPUT:
% 0.17/0.45
% 0.17/0.45 Initial Rules:
% 0.17/0.45 #0: input, references = 3, size of lhs = 3:
% 0.17/0.45 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #1: input, references = 4, size of lhs = 4:
% 0.17/0.45 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #2: input, references = 3, size of lhs = 4:
% 0.17/0.45 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #3: input, references = 4, size of lhs = 1:
% 0.17/0.45 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp20-{T}(V0,V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #4: input, references = 5, size of lhs = 1:
% 0.17/0.45 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #5: input, references = 3, size of lhs = 1:
% 0.17/0.45 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #6: input, references = 3, size of lhs = 3:
% 0.17/0.45 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #7: input, references = 4, size of lhs = 1:
% 0.17/0.45 pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #8: input, references = 5, size of lhs = 1:
% 0.17/0.45 pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #9: input, references = 4, size of lhs = 1:
% 0.17/0.45 pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #10: input, references = 3, size of lhs = 6:
% 0.17/0.45 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)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #11: input, references = 3, size of lhs = 4:
% 0.17/0.45 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #12: input, references = 5, size of lhs = 4:
% 0.17/0.45 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #13: input, references = 3, size of lhs = 2:
% 0.17/0.45 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #14: input, references = 4, size of lhs = 2:
% 0.17/0.45 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #15: input, references = 4, size of lhs = 1:
% 0.17/0.45 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #16: input, references = 3, size of lhs = 6:
% 0.17/0.45 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)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #17: input, references = 3, size of lhs = 2:
% 0.17/0.45 aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #18: input, references = 3, size of lhs = 2:
% 0.17/0.45 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #19: input, references = 3, size of lhs = 6:
% 0.17/0.45 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)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #20: input, references = 3, size of lhs = 1:
% 0.17/0.45 #-{F} V0 | pppp2-{T}(V0), pppp21-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #21: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp21-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #22: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #23: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #24: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #25: input, references = 3, size of lhs = 4:
% 0.17/0.45 pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #26: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #27: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #28: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #29: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #30: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #31: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #32: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #33: input, references = 3, size of lhs = 2:
% 0.17/0.45 aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #34: input, references = 3, size of lhs = 2:
% 0.17/0.45 aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #35: input, references = 3, size of lhs = 6:
% 0.17/0.45 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)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #36: input, references = 3, size of lhs = 1:
% 0.17/0.45 #-{F} V0 | pppp3-{T}(V0), pppp22-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #37: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp22-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #38: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #39: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #40: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #41: input, references = 3, size of lhs = 4:
% 0.17/0.45 pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #42: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #43: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #44: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #45: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #46: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #47: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #48: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #49: input, references = 3, size of lhs = 2:
% 0.17/0.45 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #50: input, references = 3, size of lhs = 2:
% 0.17/0.45 aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #51: input, references = 3, size of lhs = 4:
% 0.17/0.45 pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #52: input, references = 3, size of lhs = 1:
% 0.17/0.45 #-{F} V0 | pppp4-{T}(V0), pppp23-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #53: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp23-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #54: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #55: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #56: input, references = 3, size of lhs = 2:
% 0.17/0.45 pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #57: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #58: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #59: input, references = 3, size of lhs = 3:
% 0.17/0.45 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #60: input, references = 3, size of lhs = 3:
% 0.17/0.45 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #61: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #62: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #63: input, references = 4, size of lhs = 2:
% 0.17/0.45 pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #64: input, references = 4, size of lhs = 2:
% 0.17/0.45 aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp24-{T}(V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #65: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp24-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #66: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #67: input, references = 3, size of lhs = 3:
% 0.17/0.45 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #68: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #69: input, references = 4, size of lhs = 1:
% 0.17/0.45 P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #70: input, references = 3, size of lhs = 1:
% 0.17/0.45 P_xR-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #71: input, references = 3, size of lhs = 1:
% 0.17/0.45 P_xR-{F}(V0) | isTerminating0-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #72: input, references = 4, size of lhs = 4:
% 0.17/0.45 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #73: input, references = 4, size of lhs = 4:
% 0.17/0.45 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #74: input, references = 3, size of lhs = 4:
% 0.17/0.45 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V3)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #75: input, references = 3, size of lhs = 10:
% 0.17/0.45 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)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #76: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #77: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #78: input, references = 3, size of lhs = 1:
% 0.17/0.45 pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #79: input, references = 4, size of lhs = 4:
% 0.17/0.45 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #80: input, references = 3, size of lhs = 4:
% 0.17/0.45 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V3)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #81: input, references = 5, size of lhs = 7:
% 0.17/0.45 P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V1,V0), sdtmndtasgtdt0-{F}(V4,V0,V2) | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #82: input, references = 4, size of lhs = 0:
% 0.17/0.45 FALSE | EXISTS V0: P_xR-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #83: input, references = 4, size of lhs = 0:
% 0.17/0.45 FALSE | EXISTS V0: P_xa-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #84: input, references = 4, size of lhs = 0:
% 0.17/0.45 FALSE | EXISTS V0: P_xb-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #85: input, references = 4, size of lhs = 0:
% 0.17/0.45 FALSE | EXISTS V0: P_xc-{T}(V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 number of initial rules = 86
% 0.17/0.45
% 0.17/0.45 Simplifiers:
% 0.17/0.45 #86: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #87: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #88: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #89: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #90: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #91: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #92: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #93: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 P_xb-{F}(V0), P_xb-{F}(V1), V0 == V1 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #94: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 P_xc-{F}(V0), P_xc-{F}(V1), V0 == V1 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #95: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #96: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #97: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #98: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #99: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #100: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #101: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #102: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #103: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #104: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #105: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #106: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #107: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #108: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #109: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #110: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #111: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #112: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #113: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #114: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #115: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #116: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #117: unsound, references = 3, size of lhs = 3:
% 0.17/0.45 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 number of simplifiers = 32
% 0.17/0.45
% 0.17/0.45 Learnt:
% 0.17/0.45 #121: exists( #4, #119 ), references = 1, size of lhs = 2:
% 0.17/0.45 pppp5-{F}(V0,V1,V2), pppp20-{F}(V2,V1,V3) | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #123: disj( #64, exists( #4, #119 ) ), references = 1, size of lhs = 3:
% 0.17/0.45 aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp20-{F}(V0,V2,V3) | pppp24-{T}(V2,V0)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #136: exists( #4, #134 ), references = 1, size of lhs = 7:
% 0.17/0.45 aElement0-{F}(V0), P_xb-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), P_xa-{F}(V2), pppp20-{F}(V2,V1,V0), P_xc-{F}(V3) | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #138: disj( #3, exists( #4, #134 ) ), references = 1, size of lhs = 7:
% 0.17/0.45 aElement0-{F}(V0), P_xb-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), P_xa-{F}(V2), pppp0-{F}(V2,V1,V0), P_xc-{F}(V3) | aReductOfIn0-{T}(V0,V2,V1)
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #150: mergings( V1 == V3, V3 == V7, V4 == V5, V2 == V6; #145 ), references = 2, size of lhs = 5:
% 0.17/0.45 P_xa-{F}(V0), P_xb-{F}(V1), aRewritingSystem0-{F}(V2), pppp1-{F}(V1,V2,V1), P_xR-{F}(V2) | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #153: exists( #84, #151 ), references = 1, size of lhs = 3:
% 0.17/0.45 P_xa-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1) | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #155: exists( #83, #152 ), references = 1, size of lhs = 2:
% 0.17/0.45 aRewritingSystem0-{F}(V0), P_xR-{F}(V0) | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 #158: exists( #82, #156 ), references = 1, size of lhs = 0:
% 0.17/0.45 FALSE | FALSE
% 0.17/0.45 (used 0 times, uses = {})
% 0.17/0.45
% 0.17/0.45 number of learnt formulas = 8
% 0.17/0.45
% 0.17/0.45
% 0.17/0.45 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45
% 0.17/0.45 randbase = 1
%------------------------------------------------------------------------------