TSTP Solution File: COM023+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM023+1 : 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 05:59:20 EDT 2022
% Result : Theorem 0.63s 0.85s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : COM023+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 17:08:25 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.63/0.85 GeoParameters:
% 0.63/0.85
% 0.63/0.85 tptp_input = 1
% 0.63/0.85 tptp_output = 0
% 0.63/0.85 nonempty = 1
% 0.63/0.85 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.85 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.63/0.85
% 0.63/0.85
% 0.63/0.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.85 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.85
% 0.63/0.85 RuleSystem INPUT:
% 0.63/0.85
% 0.63/0.85 Initial Rules:
% 0.63/0.85 #0: input, references = 3, size of lhs = 3:
% 0.63/0.85 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #1: input, references = 4, size of lhs = 4:
% 0.63/0.85 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #2: input, references = 3, size of lhs = 4:
% 0.63/0.85 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #3: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp20-{T}(V0,V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #4: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #5: input, references = 3, size of lhs = 1:
% 0.63/0.85 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #6: input, references = 3, size of lhs = 3:
% 0.63/0.85 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #7: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #8: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #9: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #10: input, references = 3, size of lhs = 6:
% 0.63/0.85 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)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #11: input, references = 4, size of lhs = 4:
% 0.63/0.85 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #12: input, references = 3, size of lhs = 4:
% 0.63/0.85 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #13: input, references = 4, size of lhs = 2:
% 0.63/0.85 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #14: input, references = 3, size of lhs = 2:
% 0.63/0.85 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #15: input, references = 3, size of lhs = 1:
% 0.63/0.85 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #16: input, references = 4, size of lhs = 6:
% 0.63/0.85 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)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #17: input, references = 3, size of lhs = 2:
% 0.63/0.85 aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #18: input, references = 4, size of lhs = 2:
% 0.63/0.85 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #19: input, references = 3, size of lhs = 6:
% 0.63/0.85 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)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #20: input, references = 4, size of lhs = 1:
% 0.63/0.85 #-{F} V0 | pppp2-{T}(V0), pppp21-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #21: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp21-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #22: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #23: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #24: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #25: input, references = 4, size of lhs = 4:
% 0.63/0.85 pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #26: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #27: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #28: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #29: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #30: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #31: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #32: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #33: input, references = 3, size of lhs = 2:
% 0.63/0.85 aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #34: input, references = 3, size of lhs = 2:
% 0.63/0.85 aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #35: input, references = 3, size of lhs = 6:
% 0.63/0.85 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)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #36: input, references = 3, size of lhs = 1:
% 0.63/0.85 #-{F} V0 | pppp3-{T}(V0), pppp22-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #37: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp22-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #38: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #39: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #40: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #41: input, references = 3, size of lhs = 4:
% 0.63/0.85 pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #42: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #43: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #44: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #45: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #46: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #47: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #48: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #49: input, references = 3, size of lhs = 2:
% 0.63/0.85 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #50: input, references = 3, size of lhs = 2:
% 0.63/0.85 aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #51: input, references = 3, size of lhs = 4:
% 0.63/0.85 pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #52: input, references = 3, size of lhs = 1:
% 0.63/0.85 #-{F} V0 | pppp4-{T}(V0), pppp23-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #53: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp23-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #54: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #55: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #56: input, references = 3, size of lhs = 2:
% 0.63/0.85 pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #57: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #58: input, references = 3, size of lhs = 1:
% 0.63/0.85 pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #59: input, references = 4, size of lhs = 3:
% 0.63/0.85 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #60: input, references = 3, size of lhs = 3:
% 0.63/0.85 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #61: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #62: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #63: input, references = 5, size of lhs = 2:
% 0.63/0.85 pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #64: input, references = 4, size of lhs = 2:
% 0.63/0.85 aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp24-{T}(V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #65: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp24-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #66: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #67: input, references = 4, size of lhs = 3:
% 0.63/0.85 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #68: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #69: input, references = 4, size of lhs = 1:
% 0.63/0.85 P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #70: input, references = 3, size of lhs = 1:
% 0.63/0.85 P_xR-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #71: input, references = 4, size of lhs = 1:
% 0.63/0.85 P_xR-{F}(V0) | isTerminating0-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #72: input, references = 4, size of lhs = 6:
% 0.63/0.85 P_xR-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V4,V0,V2), sdtmndtasgtdt0-{F}(V4,V0,V1) | EXISTS V3: pppp19-{T}(V2,V1,V3,V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #73: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #74: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #75: input, references = 4, size of lhs = 1:
% 0.63/0.85 pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #76: input, references = 4, size of lhs = 2:
% 0.63/0.85 P_xR-{F}(V0), isConfluent0-{F}(V0) | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #77: input, references = 4, size of lhs = 0:
% 0.63/0.85 FALSE | EXISTS V0: P_xR-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 number of initial rules = 78
% 0.63/0.85
% 0.63/0.85 Simplifiers:
% 0.63/0.85 #78: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #79: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #80: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #81: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #82: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #83: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #84: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #85: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #86: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #87: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #88: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #89: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #90: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #91: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #92: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #93: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #94: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #95: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #96: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #97: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #98: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #99: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #100: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #101: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #102: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #103: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #104: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #105: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #106: unsound, references = 3, size of lhs = 3:
% 0.63/0.85 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 number of simplifiers = 29
% 0.63/0.85
% 0.63/0.85 Learnt:
% 0.63/0.85 #109: disj( #20, #18+#76 ), references = 1, size of lhs = 2:
% 0.63/0.85 aRewritingSystem0-{F}(V0), P_xR-{F}(V0) | pppp21-{T}(V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #113: exists( #65, #111 ), references = 1, size of lhs = 2:
% 0.63/0.85 pppp24-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #127: disj( #64, exists( #65, #111 ) ), references = 1, size of lhs = 3:
% 0.63/0.85 aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp5-{F}(V3,V2,V0) | pppp5-{T}(V1,V2,V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #145: disj( #3, input ), references = 1, size of lhs = 2:
% 0.63/0.85 pppp5-{F}(V0,V1,V2), pppp0-{F}(V2,V1,V3) | pppp20-{T}(V2,V1,V3)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #170: exists( #4, #168 ), references = 1, size of lhs = 2:
% 0.63/0.85 pppp5-{F}(V0,V1,V2), pppp20-{F}(V2,V1,V3) | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #178: exists( #72, #176 ), references = 2, size of lhs = 9:
% 0.63/0.85 P_xR-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1), sdtmndtasgtdt0-{F}(V2,V0,V3), aElement0-{F}(V3), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3) | pppp19-{T}(V1,V3,V3,V0)
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #190: mergings( V2 == V7; #188 ), references = 1, size of lhs = 9:
% 0.63/0.85 aElement0-{F}(V0), P_xR-{F}(V1), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2), aElement0-{F}(V3), pppp9-{F}(V1,V3,V0), pppp5-{F}(V4,V1,V2), pppp5-{F}(V5,V1,V2) | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #196: exists( #67, #194 ), references = 2, size of lhs = 6:
% 0.63/0.85 isTerminating0-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp9-{F}(V0,V2,V1) | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #199: exists( #22, #197 ), references = 1, size of lhs = 5:
% 0.63/0.85 isTerminating0-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), pppp10-{F}(V0,V1), aElement0-{F}(V1) | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #202: exists( #21, #200 ), references = 1, size of lhs = 4:
% 0.63/0.85 pppp21-{F}(V0), isTerminating0-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0) | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 #207: exists( #77, #205 ), references = 1, size of lhs = 0:
% 0.63/0.85 FALSE | FALSE
% 0.63/0.85 (used 0 times, uses = {})
% 0.63/0.85
% 0.63/0.85 number of learnt formulas = 11
% 0.63/0.85
% 0.63/0.85
% 0.63/0.85 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.85
% 0.63/0.85 randbase = 1
%------------------------------------------------------------------------------