%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM013+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 05:59:17 EDT 2022
% Result : Theorem 2.22s 2.42s
% Output : Refutation 2.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM013+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 16:54:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.22/2.42 GeoParameters:
% 2.22/2.42
% 2.22/2.42 tptp_input = 1
% 2.22/2.42 tptp_output = 0
% 2.22/2.42 nonempty = 1
% 2.22/2.42 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.22/2.42 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.22/2.42
% 2.22/2.42
% 2.22/2.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.22/2.42 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.22/2.42
% 2.22/2.42 RuleSystem INPUT:
% 2.22/2.42
% 2.22/2.42 Initial Rules:
% 2.22/2.42 #0: input, references = 6, size of lhs = 3:
% 2.22/2.42 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #1: input, references = 4, size of lhs = 4:
% 2.22/2.42 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #2: input, references = 16, size of lhs = 4:
% 2.22/2.42 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #3: input, references = 4, size of lhs = 1:
% 2.22/2.42 pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp20-{T}(V0,V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #4: input, references = 4, size of lhs = 1:
% 2.22/2.42 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #5: input, references = 15, size of lhs = 1:
% 2.22/2.42 aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #6: input, references = 4, size of lhs = 3:
% 2.22/2.42 aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #7: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #8: input, references = 4, size of lhs = 1:
% 2.22/2.42 pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #9: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #10: input, references = 3, size of lhs = 6:
% 2.22/2.42 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)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #11: input, references = 5, size of lhs = 4:
% 2.22/2.42 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #12: input, references = 18, size of lhs = 4:
% 2.22/2.42 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #13: input, references = 5, size of lhs = 2:
% 2.22/2.42 pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #14: input, references = 5, size of lhs = 2:
% 2.22/2.42 #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #15: input, references = 16, size of lhs = 1:
% 2.22/2.42 sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #16: input, references = 11, size of lhs = 6:
% 2.22/2.42 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)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #17: input, references = 3, size of lhs = 2:
% 2.22/2.42 aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #18: input, references = 3, size of lhs = 2:
% 2.22/2.42 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #19: input, references = 5, size of lhs = 6:
% 2.22/2.42 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)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #20: input, references = 3, size of lhs = 1:
% 2.22/2.42 #-{F} V0 | pppp2-{T}(V0), pppp21-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #21: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp21-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #22: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #23: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #24: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #25: input, references = 3, size of lhs = 4:
% 2.22/2.42 pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #26: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #27: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #28: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #29: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #30: input, references = 5, size of lhs = 1:
% 2.22/2.42 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #31: input, references = 10, size of lhs = 1:
% 2.22/2.42 pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #32: input, references = 5, size of lhs = 1:
% 2.22/2.42 pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #33: input, references = 3, size of lhs = 2:
% 2.22/2.42 aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #34: input, references = 3, size of lhs = 2:
% 2.22/2.42 aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #35: input, references = 3, size of lhs = 6:
% 2.22/2.42 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)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #36: input, references = 4, size of lhs = 1:
% 2.22/2.42 #-{F} V0 | pppp3-{T}(V0), pppp22-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #37: input, references = 4, size of lhs = 1:
% 2.22/2.42 pppp22-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #38: input, references = 4, size of lhs = 1:
% 2.22/2.42 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #39: input, references = 4, size of lhs = 1:
% 2.22/2.42 pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #40: input, references = 8, size of lhs = 1:
% 2.22/2.42 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #41: input, references = 10, size of lhs = 4:
% 2.22/2.42 pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #42: input, references = 4, size of lhs = 1:
% 2.22/2.42 pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #43: input, references = 8, size of lhs = 1:
% 2.22/2.42 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #44: input, references = 8, size of lhs = 1:
% 2.22/2.42 pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #45: input, references = 8, size of lhs = 1:
% 2.22/2.42 pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #46: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #47: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #48: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #49: input, references = 4, size of lhs = 2:
% 2.22/2.42 aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #50: input, references = 3, size of lhs = 2:
% 2.22/2.42 aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #51: input, references = 6, size of lhs = 4:
% 2.22/2.42 pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #52: input, references = 3, size of lhs = 1:
% 2.22/2.42 #-{F} V0 | pppp4-{T}(V0), pppp23-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #53: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp23-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #54: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #55: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #56: input, references = 3, size of lhs = 2:
% 2.22/2.42 pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #57: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #58: input, references = 3, size of lhs = 1:
% 2.22/2.42 pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #59: input, references = 8, size of lhs = 3:
% 2.22/2.42 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #60: input, references = 4, size of lhs = 3:
% 2.22/2.42 aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #61: input, references = 7, size of lhs = 1:
% 2.22/2.42 pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #62: input, references = 7, size of lhs = 1:
% 2.22/2.42 pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #63: input, references = 5, size of lhs = 2:
% 2.22/2.42 pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #64: input, references = 8, size of lhs = 2:
% 2.22/2.42 aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp24-{T}(V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #65: input, references = 7, size of lhs = 1:
% 2.22/2.42 pppp24-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #66: input, references = 7, size of lhs = 1:
% 2.22/2.42 pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #67: input, references = 4, size of lhs = 1:
% 2.22/2.42 P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #68: input, references = 4, size of lhs = 1:
% 2.22/2.42 P_xR-{F}(V0) | isTerminating0-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #69: input, references = 4, size of lhs = 1:
% 2.22/2.42 P_xR-{F}(V0) | EXISTS V1: pppp19-{T}(V1,V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #70: input, references = 5, size of lhs = 2:
% 2.22/2.42 pppp19-{F}(V0,V1), aNormalFormOfIn0-{F}(V2,V0,V1) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #71: input, references = 8, size of lhs = 3:
% 2.22/2.42 pppp19-{F}(V0,V1), aElement0-{F}(V2), iLess0-{F}(V2,V0) | EXISTS V3: pppp18-{T}(V2,V1,V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #72: input, references = 4, size of lhs = 1:
% 2.22/2.42 pppp19-{F}(V0,V1) | aElement0-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #73: input, references = 9, size of lhs = 1:
% 2.22/2.42 pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V0,V1)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #74: input, references = 4, size of lhs = 0:
% 2.22/2.42 FALSE | EXISTS V0: P_xR-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 number of initial rules = 75
% 2.22/2.42
% 2.22/2.42 Simplifiers:
% 2.22/2.42 #75: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #76: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #77: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #78: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #79: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #80: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #81: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #82: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #83: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #84: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #85: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #86: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #87: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #88: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #89: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #90: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #91: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #92: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #93: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #94: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #95: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #96: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #97: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #98: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #99: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #100: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #101: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #102: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp19-{F}(V0,V1), pppp19-{F}(V2,V1), V0 == V2 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #103: unsound, references = 3, size of lhs = 3:
% 2.22/2.42 pppp19-{F}(V0,V1), pppp19-{F}(V2,V3), V1 == V3 | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 number of simplifiers = 29
% 2.22/2.42
% 2.22/2.42 Learnt:
% 2.22/2.42 #111: disj( #3, input ), references = 1, size of lhs = 2:
% 2.22/2.42 pppp5-{F}(V0,V1,V2), pppp0-{F}(V2,V1,V3) | pppp20-{T}(V2,V1,V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #130: exists( #4, #128 ), references = 1, size of lhs = 2:
% 2.22/2.42 pppp5-{F}(V0,V1,V2), pppp20-{F}(V2,V1,V3) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #138: exists( #19, #136 ), references = 7, size of lhs = 9:
% 2.22/2.42 pppp2-{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) | pppp7-{T}(V0,V1,V3,V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #167: mergings( V2 == V6; #165 ), references = 2, size of lhs = 8:
% 2.22/2.42 pppp2-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp13-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V2,V0,V2), pppp5-{F}(V3,V0,V2), pppp5-{F}(V4,V0,V2) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #170: mergings( V0 == V4; #168 ), references = 1, size of lhs = 7:
% 2.22/2.42 pppp2-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp13-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V2,V0,V2), sdtmndtasgtdt0-{F}(V3,V0,V2) | pppp24-{T}(V0,V2)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #203: disj( #64, #138+#31+#41 ), references = 1, size of lhs = 10:
% 2.22/2.42 pppp2-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1), sdtmndtasgtdt0-{F}(V2,V0,V3), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V4,V0,V3), sdtmndtasgtdt0-{F}(V5,V0,V3), pppp13-{F}(V0,V5,V1) | pppp24-{T}(V0,V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #225: exists( #71, #223 ), references = 1, size of lhs = 12:
% 2.22/2.42 aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp19-{F}(V1,V2), pppp2-{F}(V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V2,V0), aElement0-{F}(V4), pppp13-{F}(V2,V3,V4), aElement0-{F}(V5), sdtmndtasgtdt0-{F}(V5,V2,V3), sdtmndtasgtdt0-{F}(V5,V2,V4) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #238: exists( #40, #236 ), references = 1, size of lhs = 9:
% 2.22/2.42 aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp19-{F}(V1,V2), pppp2-{F}(V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V2,V0), aElement0-{F}(V4), pppp13-{F}(V2,V3,V4) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #247: exists( #65, #245 ), references = 1, size of lhs = 8:
% 2.22/2.42 pppp4-{F}(V0), pppp2-{F}(V0), aRewritingSystem0-{F}(V0), pppp24-{F}(V0,V1), aElement0-{F}(V1), pppp19-{F}(V1,V0), aElement0-{F}(V2), pppp13-{F}(V0,V1,V2) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #322: exists( #71, #316 ), references = 1, size of lhs = 10:
% 2.22/2.42 aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp19-{F}(V1,V2), pppp2-{F}(V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), pppp13-{F}(V2,V3,V0), aElement0-{F}(V4), aReductOfIn0-{F}(V0,V4,V2), sdtmndtasgtdt0-{F}(V4,V2,V3) | pppp18-{T}(V0,V2,V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #335: mergings( V1 == V5; #333 ), references = 1, size of lhs = 8:
% 2.22/2.42 pppp2-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V1,V0,V1), iLess0-{F}(V1,V2), pppp19-{F}(V2,V0), aElement0-{F}(V3), pppp13-{F}(V0,V3,V1) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #432: exists( #71, #426 ), references = 1, size of lhs = 14:
% 2.22/2.42 aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp19-{F}(V1,V2), pppp2-{F}(V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V2,V0), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V4,V2,V0), aElement0-{F}(V5), pppp13-{F}(V2,V5,V3), aElement0-{F}(V6), sdtmndtasgtdt0-{F}(V6,V2,V4), sdtmndtasgtdt0-{F}(V6,V2,V5) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #447: mergings( V2 == V7; #445 ), references = 1, size of lhs = 12:
% 2.22/2.42 aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp19-{F}(V1,V2), pppp2-{F}(V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V2,V0), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V4,V2,V3), sdtmndtasgtdt0-{F}(V4,V2,V0), aElement0-{F}(V5), pppp13-{F}(V2,V5,V4) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #459: exists( #65, #457 ), references = 1, size of lhs = 10:
% 2.22/2.42 pppp4-{F}(V0), pppp2-{F}(V0), aRewritingSystem0-{F}(V0), pppp24-{F}(V0,V1), aElement0-{F}(V1), pppp19-{F}(V1,V0), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1), aElement0-{F}(V3), pppp13-{F}(V0,V3,V2) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #510: disj( #64, #138+#31+#41 ), references = 1, size of lhs = 10:
% 2.22/2.42 pppp2-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1), sdtmndtasgtdt0-{F}(V2,V0,V3), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V4,V0,V3), pppp13-{F}(V0,V1,V5), sdtmndtasgtdt0-{F}(V5,V0,V3) | pppp24-{T}(V0,V3)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #543: mergings( V0 == V2; #541 ), references = 1, size of lhs = 3:
% 2.22/2.42 aElement0-{F}(V0), iLess0-{F}(V0,V0), pppp19-{F}(V0,V1) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #630: disj( #64, input ), references = 1, size of lhs = 3:
% 2.22/2.42 aElement0-{F}(V0), aReductOfIn0-{F}(V1,V0,V2), sdtmndtasgtdt0-{F}(V3,V2,V0) | pppp24-{T}(V2,V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #719: exists( #19, #717 ), references = 1, size of lhs = 7:
% 2.22/2.42 pppp2-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp13-{F}(V0,V2,V1), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V0,V2), sdtmndtasgtdt0-{F}(V3,V0,V1) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #732: exists( #40, #730 ), references = 1, size of lhs = 5:
% 2.22/2.42 aRewritingSystem0-{F}(V0), pppp2-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp13-{F}(V0,V2,V1) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #735: exists( #38, #733 ), references = 1, size of lhs = 4:
% 2.22/2.42 aRewritingSystem0-{F}(V0), pppp2-{F}(V0), pppp14-{F}(V0,V1), aElement0-{F}(V1) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #738: exists( #37, #736 ), references = 1, size of lhs = 3:
% 2.22/2.42 pppp22-{F}(V0), aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #740: disj( #36, exists( #37, #736 ) ), references = 1, size of lhs = 2:
% 2.22/2.42 aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | pppp3-{T}(V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #743: disj( #64, #60+#70 ), references = 3, size of lhs = 5:
% 2.22/2.42 aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0), pppp19-{F}(V2,V1) | pppp24-{T}(V1,V0)
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #791: exists( #65, #789 ), references = 1, size of lhs = 2:
% 2.22/2.42 pppp24-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #800: mergings( V0 == V4; #798 ), references = 1, size of lhs = 6:
% 2.22/2.42 aElement0-{F}(V0), iLess0-{F}(V0,V1), aElement0-{F}(V1), aRewritingSystem0-{F}(V2), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp19-{F}(V1,V2) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #809: exists( #65, #807 ), references = 2, size of lhs = 5:
% 2.22/2.42 pppp4-{F}(V0), aRewritingSystem0-{F}(V0), pppp24-{F}(V0,V1), aElement0-{F}(V1), pppp19-{F}(V1,V0) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #818: exists( #69, #816 ), references = 1, size of lhs = 3:
% 2.22/2.42 P_xR-{F}(V0), pppp4-{F}(V0), aRewritingSystem0-{F}(V0) | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 #823: exists( #74, #821 ), references = 1, size of lhs = 0:
% 2.22/2.42 FALSE | FALSE
% 2.22/2.42 (used 0 times, uses = {})
% 2.22/2.42
% 2.22/2.42 number of learnt formulas = 28
% 2.22/2.42
% 2.22/2.42
% 2.22/2.42 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.22/2.42
% 2.22/2.42 randbase = 1
%------------------------------------------------------------------------------