TSTP Solution File: LAT381+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT381+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:08:34 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT381+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 20:05:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 GeoParameters:
% 0.12/0.37
% 0.12/0.37 tptp_input = 1
% 0.12/0.37 tptp_output = 0
% 0.12/0.37 nonempty = 1
% 0.12/0.37 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 RuleSystem INPUT:
% 0.12/0.37
% 0.12/0.37 Initial Rules:
% 0.12/0.37 #0: input, references = 7, size of lhs = 2:
% 0.12/0.37 aSet0-{F}(V0), aElementOf0-{F}(V1,V0) | aElement0-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #1: input, references = 3, size of lhs = 2:
% 0.12/0.37 aSet0-{F}(V0), isEmpty0-{F}(V0) | pppp0-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #2: input, references = 3, size of lhs = 2:
% 0.12/0.37 aSet0-{F}(V0), pppp0-{F}(V0) | isEmpty0-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #3: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp0-{F}(V0), aElementOf0-{F}(V1,V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #4: input, references = 3, size of lhs = 1:
% 0.12/0.37 #-{F} V0 | pppp0-{T}(V0), pppp15-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #5: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp15-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #6: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp6-{F}(V0,V1) | aElementOf0-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #7: input, references = 3, size of lhs = 2:
% 0.12/0.37 aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #8: input, references = 3, size of lhs = 2:
% 0.12/0.37 aSet0-{F}(V0), pppp1-{F}(V0,V1) | aSubsetOf0-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #9: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp1-{F}(V0,V1) | aSet0-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #10: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp1-{F}(V0,V1), aElementOf0-{F}(V2,V1) | aElementOf0-{T}(V2,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #11: input, references = 3, size of lhs = 2:
% 0.12/0.37 #-{F} V0, aSet0-{F}(V1) | pppp1-{T}(V0,V1), pppp16-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #12: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp16-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #13: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp7-{F}(V0,V1,V2), aElementOf0-{F}(V2,V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #14: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp7-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #15: input, references = 3, size of lhs = 1:
% 0.12/0.37 aElement0-{F}(V0) | sdtlseqdt0-{T}(V0,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #16: input, references = 5, size of lhs = 5:
% 0.12/0.37 aElement0-{F}(V0), aElement0-{F}(V1), sdtlseqdt0-{F}(V1,V0), sdtlseqdt0-{F}(V0,V1), V1 == V0 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #17: input, references = 3, size of lhs = 5:
% 0.12/0.37 aElement0-{F}(V0), aElement0-{F}(V1), sdtlseqdt0-{F}(V1,V0), aElement0-{F}(V2), sdtlseqdt0-{F}(V2,V1) | sdtlseqdt0-{T}(V2,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #18: input, references = 3, size of lhs = 3:
% 0.12/0.37 aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), aLowerBoundOfIn0-{F}(V2,V1,V0) | pppp2-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #19: input, references = 3, size of lhs = 3:
% 0.12/0.37 aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), pppp2-{F}(V0,V1,V2) | aLowerBoundOfIn0-{T}(V2,V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #20: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp2-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #21: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp2-{F}(V0,V1,V2), aElementOf0-{F}(V3,V1) | sdtlseqdt0-{T}(V2,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #22: input, references = 3, size of lhs = 2:
% 0.12/0.37 #-{F} V1, aElementOf0-{F}(V2,V0) | pppp2-{T}(V0,V1,V2), pppp17-{T}(V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #23: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp17-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #24: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp8-{F}(V0,V1,V2), sdtlseqdt0-{F}(V1,V2) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #25: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp8-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #26: input, references = 3, size of lhs = 3:
% 0.12/0.37 aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), aUpperBoundOfIn0-{F}(V2,V1,V0) | pppp3-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #27: input, references = 3, size of lhs = 3:
% 0.12/0.37 aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), pppp3-{F}(V0,V1,V2) | aUpperBoundOfIn0-{T}(V2,V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #28: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp3-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #29: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp3-{F}(V0,V1,V2), aElementOf0-{F}(V3,V1) | sdtlseqdt0-{T}(V3,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #30: input, references = 3, size of lhs = 2:
% 0.12/0.37 #-{F} V1, aElementOf0-{F}(V2,V0) | pppp3-{T}(V0,V1,V2), pppp18-{T}(V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #31: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp18-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #32: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp9-{F}(V0,V1,V2), sdtlseqdt0-{F}(V2,V1) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #33: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp9-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #34: input, references = 3, size of lhs = 3:
% 0.12/0.37 aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), aInfimumOfIn0-{F}(V2,V1,V0) | pppp4-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #35: input, references = 3, size of lhs = 3:
% 0.12/0.37 aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), pppp4-{F}(V0,V1,V2) | aInfimumOfIn0-{T}(V2,V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #36: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp4-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #37: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp4-{F}(V0,V1,V2) | aLowerBoundOfIn0-{T}(V2,V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #38: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp4-{F}(V0,V1,V2), aLowerBoundOfIn0-{F}(V3,V1,V0) | sdtlseqdt0-{T}(V3,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #39: input, references = 3, size of lhs = 2:
% 0.12/0.37 aElementOf0-{F}(V2,V0), aLowerBoundOfIn0-{F}(V2,V1,V0) | pppp4-{T}(V0,V1,V2), pppp19-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #40: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp19-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #41: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp10-{F}(V0,V1,V2,V3), sdtlseqdt0-{F}(V3,V2) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #42: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp10-{F}(V0,V1,V2,V3) | aLowerBoundOfIn0-{T}(V3,V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #43: input, references = 3, size of lhs = 3:
% 0.12/0.37 aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), aSupremumOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #44: input, references = 3, size of lhs = 3:
% 0.12/0.37 aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), pppp5-{F}(V0,V1,V2) | aSupremumOfIn0-{T}(V2,V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #45: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp5-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #46: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp5-{F}(V0,V1,V2) | aUpperBoundOfIn0-{T}(V2,V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #47: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp5-{F}(V0,V1,V2), aUpperBoundOfIn0-{F}(V3,V1,V0) | sdtlseqdt0-{T}(V2,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #48: input, references = 3, size of lhs = 2:
% 0.12/0.37 aElementOf0-{F}(V2,V0), aUpperBoundOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V0,V1,V2), pppp20-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #49: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp11-{T}(V0,V1,V2,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #50: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp11-{F}(V0,V1,V2,V3), sdtlseqdt0-{F}(V2,V3) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #51: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp11-{F}(V0,V1,V2,V3) | aUpperBoundOfIn0-{T}(V3,V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #52: input, references = 4, size of lhs = 1:
% 0.12/0.37 P_xT-{F}(V0) | aSet0-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #53: input, references = 3, size of lhs = 2:
% 0.12/0.37 P_xT-{F}(V0), P_xS-{F}(V1) | aSet0-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #54: input, references = 3, size of lhs = 3:
% 0.12/0.37 P_xT-{F}(V0), P_xS-{F}(V1), aElementOf0-{F}(V2,V1) | aElementOf0-{T}(V2,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #55: input, references = 3, size of lhs = 2:
% 0.12/0.37 P_xT-{F}(V0), P_xS-{F}(V1) | aSubsetOf0-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #56: input, references = 5, size of lhs = 4:
% 0.12/0.37 P_xT-{F}(V0), P_xS-{F}(V1), P_xu-{F}(V2), P_xv-{F}(V3) | pppp14-{T}(V0,V1,V2,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #57: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3) | aSupremumOfIn0-{T}(V3,V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #58: input, references = 5, size of lhs = 2:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3), aUpperBoundOfIn0-{F}(V4,V1,V0) | sdtlseqdt0-{T}(V3,V4)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #59: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3), aElementOf0-{F}(V4,V0) | pppp21-{T}(V4,V1), sdtlseqdt0-{T}(V3,V4)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #60: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp21-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #61: input, references = 4, size of lhs = 1:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3) | aUpperBoundOfIn0-{T}(V3,V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #62: input, references = 4, size of lhs = 2:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3), aElementOf0-{F}(V4,V1) | sdtlseqdt0-{T}(V4,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #63: input, references = 5, size of lhs = 1:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3) | aElementOf0-{T}(V3,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #64: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3) | aElementOf0-{T}(V3,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #65: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3) | aSupremumOfIn0-{T}(V2,V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #66: input, references = 4, size of lhs = 2:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3), aUpperBoundOfIn0-{F}(V4,V1,V0) | sdtlseqdt0-{T}(V2,V4)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #67: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3), aElementOf0-{F}(V4,V0) | pppp22-{T}(V4,V1), sdtlseqdt0-{T}(V2,V4)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #68: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp22-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V2,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #69: input, references = 5, size of lhs = 1:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3) | aUpperBoundOfIn0-{T}(V2,V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #70: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3), aElementOf0-{F}(V4,V1) | sdtlseqdt0-{T}(V4,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #71: input, references = 5, size of lhs = 1:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3) | aElementOf0-{T}(V2,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #72: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3) | aElementOf0-{T}(V2,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #73: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp13-{F}(V0,V1,V2), sdtlseqdt0-{F}(V1,V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #74: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp13-{F}(V0,V1,V2) | aElementOf0-{T}(V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #75: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp12-{F}(V0,V1,V2), sdtlseqdt0-{F}(V1,V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #76: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp12-{F}(V0,V1,V2) | aElementOf0-{T}(V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #77: input, references = 5, size of lhs = 4:
% 0.12/0.37 P_xT-{F}(V0), P_xS-{F}(V1), P_xu-{F}(V3), P_xv-{F}(V3) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #78: input, references = 4, size of lhs = 0:
% 0.12/0.37 FALSE | EXISTS V0: P_xT-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #79: input, references = 4, size of lhs = 0:
% 0.12/0.37 FALSE | EXISTS V0: P_xS-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #80: input, references = 5, size of lhs = 0:
% 0.12/0.37 FALSE | EXISTS V0: P_xu-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #81: input, references = 5, size of lhs = 0:
% 0.12/0.37 FALSE | EXISTS V0: P_xv-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 number of initial rules = 82
% 0.12/0.37
% 0.12/0.37 Simplifiers:
% 0.12/0.37 #82: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 P_xT-{F}(V0), P_xT-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #83: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 P_xS-{F}(V0), P_xS-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #84: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 P_xu-{F}(V0), P_xu-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #85: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 P_xv-{F}(V0), P_xv-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #86: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #87: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #88: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #89: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #90: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #91: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #92: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #93: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #94: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #95: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #96: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #97: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #98: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #99: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #100: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #101: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp22-{F}(V0,V1), pppp22-{F}(V2,V3), V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 number of simplifiers = 20
% 0.12/0.37
% 0.12/0.37 Learnt:
% 0.12/0.37 #111: exists( #81, #109 ), references = 1, size of lhs = 4:
% 0.12/0.37 P_xT-{F}(V0), P_xS-{F}(V0), aSet0-{F}(V0), P_xu-{F}(V1) | P_xv-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #116: mergings( V1 == V2, V2 == V3; #113 ), references = 1, size of lhs = 3:
% 0.12/0.37 aSet0-{F}(V0), P_xT-{F}(V0), P_xS-{F}(V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #127: exists( #81, #125 ), references = 1, size of lhs = 4:
% 0.12/0.37 P_xT-{F}(V0), aSet0-{F}(V0), P_xS-{F}(V1), P_xu-{F}(V2) | P_xv-{T}(V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #132: mergings( V1 == V3, V2 == V4; #129 ), references = 1, size of lhs = 3:
% 0.12/0.37 aSet0-{F}(V0), P_xT-{F}(V0), P_xS-{F}(V1) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #135: mergings( V1 == V2; #133 ), references = 1, size of lhs = 2:
% 0.12/0.37 aSet0-{F}(V0), P_xT-{F}(V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #138: exists( #78, #136 ), references = 1, size of lhs = 0:
% 0.12/0.37 FALSE | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 number of learnt formulas = 6
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 randbase = 1
%------------------------------------------------------------------------------