TSTP Solution File: SEU299+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU299+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:17:45 EDT 2022
% Result : Theorem 8.36s 8.60s
% Output : Refutation 8.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU299+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 19:33:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 8.36/8.60 GeoParameters:
% 8.36/8.60
% 8.36/8.60 tptp_input = 1
% 8.36/8.60 tptp_output = 0
% 8.36/8.60 nonempty = 1
% 8.36/8.60 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.36/8.60 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 8.36/8.60
% 8.36/8.60
% 8.36/8.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.36/8.60 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.36/8.60
% 8.36/8.60 RuleSystem INPUT:
% 8.36/8.60
% 8.36/8.60 Initial Rules:
% 8.36/8.60 #0: input, references = 4, size of lhs = 0:
% 8.36/8.60 FALSE | EXISTS V0: pppp3-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1: input, references = 6, size of lhs = 2:
% 8.36/8.60 pppp3-{F}(V0), #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V2,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #2: input, references = 4, size of lhs = 1:
% 8.36/8.60 pppp3-{F}(V0) | ordinal-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #3: input, references = 9, size of lhs = 3:
% 8.36/8.60 pppp2-{F}(V0,V1,V2), pppp0-{F}(V0,V1), in-{F}(V1,V2) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #4: input, references = 14, size of lhs = 1:
% 8.36/8.60 pppp2-{F}(V0,V1,V2) | in-{T}(V1,V2), pppp0-{T}(V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #5: input, references = 12, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V4), pppp0-{F}(V2,V3) | in-{T}(V3,V4)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #6: input, references = 4, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V4), pppp0-{F}(V2,V3) | EXISTS V5: pppp5-{T}(V3,V5,V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #7: input, references = 5, size of lhs = 7:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V4), in-{F}(V5,V4), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V7), ordinal-{F}(V5) | pppp0-{T}(V2,V5), in-{T}(V5,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #8: input, references = 5, size of lhs = 7:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V4), in-{F}(V5,V4), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V7), ordinal-{F}(V5) | pppp0-{T}(V2,V5), pppp44-{T}(V1,V7)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #9: input, references = 5, size of lhs = 1:
% 8.36/8.60 pppp44-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V2,V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #10: input, references = 6, size of lhs = 2:
% 8.36/8.60 pppp7-{F}(V0,V1,V2), in-{F}(V3,V0) | EXISTS V4: pppp6-{T}(V0,V3,V4)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #11: input, references = 5, size of lhs = 1:
% 8.36/8.60 pppp7-{F}(V1,V1,V2) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #12: input, references = 5, size of lhs = 1:
% 8.36/8.60 pppp7-{F}(V0,V1,V2) | element-{T}(V0,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #13: input, references = 5, size of lhs = 1:
% 8.36/8.60 pppp6-{F}(V0,V1,V1) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #14: input, references = 6, size of lhs = 1:
% 8.36/8.60 pppp6-{F}(V0,V1,V2) | subset-{T}(V1,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #15: input, references = 6, size of lhs = 1:
% 8.36/8.60 pppp6-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #16: input, references = 6, size of lhs = 6:
% 8.36/8.60 pppp5-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5), in-{F}(V1,V2), element-{F}(V6,V5), V6 == V3 | EXISTS V7: pppp4-{T}(V6,V7)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #17: input, references = 4, size of lhs = 4:
% 8.36/8.60 pppp5-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #18: input, references = 7, size of lhs = 3:
% 8.36/8.60 pppp5-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5) | ordinal-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #19: input, references = 5, size of lhs = 4:
% 8.36/8.60 pppp4-{F}(V0,V1), in-{F}(V2,V0), subset-{F}(V1,V2), V2 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #20: input, references = 5, size of lhs = 1:
% 8.36/8.60 pppp4-{F}(V0,V1) | in-{T}(V1,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #21: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp8-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #22: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp8-{F}(V0) | finite-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #23: input, references = 3, size of lhs = 2:
% 8.36/8.60 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #24: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp10-{T}(V3,V4)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #25: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp10-{F}(V0,V1) | pppp9-{T}(V1,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #26: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp9-{F}(V0,V1) | finite-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #27: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp9-{F}(V0,V1) | natural-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #28: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp9-{F}(V0,V1) | ordinal-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #29: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp9-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #30: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp9-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #31: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp9-{F}(V0,V1) | one_to_one-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #32: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp9-{F}(V0,V1) | function-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #33: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp9-{F}(V0,V1) | relation-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #34: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp9-{F}(V0,V1) | empty-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #35: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #36: input, references = 5, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp45-{T}(V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #37: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp45-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #38: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp11-{F}(V0,V1) | finite-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #39: input, references = 3, size of lhs = 2:
% 8.36/8.60 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #40: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #41: input, references = 3, size of lhs = 5:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), finite-{F}(V2), element-{F}(V4,V3) | finite-{T}(V4)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #42: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | finite-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #43: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp12-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #44: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp12-{F}(V0) | function-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #45: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp12-{F}(V0) | relation-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #46: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | function-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #47: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp13-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #48: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp13-{F}(V0) | function-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #49: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp13-{F}(V0) | empty-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #50: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp13-{F}(V0) | relation-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #51: input, references = 3, size of lhs = 5:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), empty-{F}(V2), function-{F}(V2) | one_to_one-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #52: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp14-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #53: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp14-{F}(V0) | one_to_one-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #54: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp14-{F}(V0) | function-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #55: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp14-{F}(V0) | relation-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #56: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp15-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #57: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp15-{F}(V0) | function-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #58: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp15-{F}(V0) | relation_empty_yielding-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #59: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp15-{F}(V0) | relation-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #60: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp16-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #61: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp16-{F}(V0) | relation-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #62: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp16-{F}(V0) | empty-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #63: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | relation-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #64: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp17-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #65: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp17-{F}(V0) | relation-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #66: input, references = 3, size of lhs = 2:
% 8.36/8.60 pppp17-{F}(V0), empty-{F}(V0) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #67: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp18-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #68: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp18-{F}(V0) | relation_empty_yielding-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #69: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp18-{F}(V0) | relation-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #70: input, references = 3, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), ordinal-{F}(V2) | epsilon_transitive-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #71: input, references = 3, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), ordinal-{F}(V2) | epsilon_connected-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #72: input, references = 3, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), ordinal-{F}(V2) | natural-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #73: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp20-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #74: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp20-{F}(V0) | pppp19-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #75: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp19-{F}(V0) | natural-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #76: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp19-{F}(V0) | ordinal-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #77: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp19-{F}(V0) | epsilon_connected-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #78: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp19-{F}(V0) | epsilon_transitive-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #79: input, references = 3, size of lhs = 2:
% 8.36/8.60 pppp19-{F}(V0), empty-{F}(V0) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #80: input, references = 3, size of lhs = 5:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), ordinal-{F}(V2), natural-{F}(V2) | pppp21-{T}(V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #81: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp21-{F}(V0) | natural-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #82: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp21-{F}(V0) | ordinal-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #83: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp21-{F}(V0) | epsilon_connected-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #84: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp21-{F}(V0) | epsilon_transitive-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #85: input, references = 3, size of lhs = 2:
% 8.36/8.60 pppp21-{F}(V0), empty-{F}(V0) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #86: input, references = 3, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), epsilon_transitive-{F}(V2), epsilon_connected-{F}(V2) | ordinal-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #87: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp22-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #88: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp22-{F}(V0) | ordinal-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #89: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp22-{F}(V0) | epsilon_connected-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #90: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp22-{F}(V0) | epsilon_transitive-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #91: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp24-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #92: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp24-{F}(V0) | pppp23-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #93: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp23-{F}(V0) | ordinal-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #94: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp23-{F}(V0) | epsilon_connected-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #95: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp23-{F}(V0) | epsilon_transitive-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #96: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp23-{F}(V0) | empty-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #97: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp23-{F}(V0) | one_to_one-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #98: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp23-{F}(V0) | function-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #99: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp23-{F}(V0) | relation-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #100: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | epsilon_transitive-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #101: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | epsilon_connected-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #102: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | ordinal-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #103: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp25-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #104: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp25-{F}(V0) | ordinal-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #105: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp25-{F}(V0) | epsilon_connected-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #106: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp25-{F}(V0) | epsilon_transitive-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #107: input, references = 3, size of lhs = 2:
% 8.36/8.60 pppp25-{F}(V0), empty-{F}(V0) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #108: input, references = 5, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | empty-{T}(V2), pppp46-{T}(V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #109: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp46-{F}(V0) | EXISTS V1: pppp26-{T}(V1,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #110: input, references = 3, size of lhs = 2:
% 8.36/8.60 pppp26-{F}(V0,V1), empty-{F}(V0) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #111: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp26-{F}(V0,V1) | element-{T}(V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #112: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3) | EXISTS V4: pppp27-{T}(V4,V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #113: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp27-{F}(V0,V1) | empty-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #114: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp27-{F}(V0,V1) | element-{T}(V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #115: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp28-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #116: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp28-{F}(V0) | empty-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #117: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | EXISTS V2: pppp29-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #118: input, references = 3, size of lhs = 2:
% 8.36/8.60 pppp29-{F}(V0), empty-{F}(V0) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #119: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), #-{F} V2 | subset-{T}(V2,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #120: input, references = 10, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3), in-{F}(V3,V2) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #121: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | epsilon_transitive-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #122: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | epsilon_connected-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #123: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | ordinal-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #124: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V0) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #125: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #126: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #127: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #128: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | relation-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #129: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | relation_empty_yielding-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #130: input, references = 3, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), element-{F}(V3,V2) | epsilon_transitive-{T}(V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #131: input, references = 3, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), element-{F}(V3,V2) | epsilon_connected-{T}(V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #132: input, references = 3, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), element-{F}(V3,V2) | ordinal-{T}(V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #133: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V0) | epsilon_transitive-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #134: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V0) | epsilon_connected-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #135: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V0) | ordinal-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #136: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V0) | natural-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #137: input, references = 3, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), empty-{F}(V3) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #138: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2) | epsilon_transitive-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #139: input, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2) | epsilon_connected-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #140: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | pppp30-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #141: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp30-{F}(V0) | ordinal-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #142: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp30-{F}(V0) | epsilon_connected-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #143: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp30-{F}(V0) | epsilon_transitive-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #144: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp30-{F}(V0) | empty-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #145: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp30-{F}(V0) | one_to_one-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #146: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp30-{F}(V0) | function-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #147: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp30-{F}(V0) | relation_empty_yielding-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #148: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp30-{F}(V0) | relation-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #149: input, references = 3, size of lhs = 5:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), ordinal-{F}(V2), empty-{F}(V3) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #150: input, references = 3, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), ordinal-{F}(V2) | epsilon_transitive-{T}(V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #151: input, references = 3, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), ordinal-{F}(V2) | epsilon_connected-{T}(V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #152: input, references = 3, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), ordinal-{F}(V2) | ordinal-{T}(V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #153: input, references = 3, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), empty-{F}(V3) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #154: input, references = 3, size of lhs = 2:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #155: input, references = 4, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2) | pppp47-{T}(V0,V1), pppp48-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #156: input, references = 4, size of lhs = 1:
% 8.36/8.60 pppp47-{F}(V0,V1) | EXISTS V2: pppp37-{T}(V2,V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #157: input, references = 5, size of lhs = 1:
% 8.36/8.60 pppp48-{F}(V0) | EXISTS V1: pppp38-{T}(V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #158: input, references = 8, size of lhs = 2:
% 8.36/8.60 pppp38-{F}(V0,V1), pppp1-{F}(V0,V2) | in-{T}(V2,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #159: input, references = 9, size of lhs = 2:
% 8.36/8.60 pppp38-{F}(V0,V1), in-{F}(V2,V1) | pppp1-{T}(V0,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #160: input, references = 4, size of lhs = 1:
% 8.36/8.60 pppp37-{F}(V0,V1,V2) | EXISTS V3: pppp36-{T}(V3,V0,V1,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #161: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp37-{F}(V0,V1,V2) | EXISTS V3: pppp32-{T}(V0,V3,V1,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #162: input, references = 4, size of lhs = 1:
% 8.36/8.60 pppp36-{F}(V0,V1,V2,V3) | EXISTS V4: pppp35-{T}(V0,V4,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #163: input, references = 4, size of lhs = 1:
% 8.36/8.60 pppp36-{F}(V1,V1,V2,V3) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #164: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp36-{F}(V0,V1,V2,V3) | EXISTS V4: pppp34-{T}(V0,V4,V2,V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #165: input, references = 5, size of lhs = 2:
% 8.36/8.60 pppp35-{F}(V0,V1,V2), V1 == V2 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #166: input, references = 4, size of lhs = 2:
% 8.36/8.60 pppp35-{F}(V0,V1,V2), V1 == V0 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #167: input, references = 3, size of lhs = 6:
% 8.36/8.60 pppp34-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5), in-{F}(V1,V2), element-{F}(V6,V5), V6 == V3 | EXISTS V7: pppp33-{T}(V6,V7)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #168: input, references = 3, size of lhs = 4:
% 8.36/8.60 pppp34-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #169: input, references = 3, size of lhs = 3:
% 8.36/8.60 pppp34-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5) | ordinal-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #170: input, references = 3, size of lhs = 4:
% 8.36/8.60 pppp33-{F}(V0,V1), in-{F}(V2,V0), subset-{F}(V1,V2), V2 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #171: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp33-{F}(V0,V1) | in-{T}(V1,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #172: input, references = 3, size of lhs = 6:
% 8.36/8.60 pppp32-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5), in-{F}(V1,V2), element-{F}(V6,V5), V6 == V3 | EXISTS V7: pppp31-{T}(V6,V7)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #173: input, references = 3, size of lhs = 4:
% 8.36/8.60 pppp32-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #174: input, references = 3, size of lhs = 3:
% 8.36/8.60 pppp32-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5) | ordinal-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #175: input, references = 3, size of lhs = 4:
% 8.36/8.60 pppp31-{F}(V0,V1), in-{F}(V2,V0), subset-{F}(V1,V2), V2 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #176: input, references = 3, size of lhs = 1:
% 8.36/8.60 pppp31-{F}(V0,V1) | in-{T}(V1,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #177: input, references = 4, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V4), pppp1-{F}(V2,V3) | EXISTS V5: pppp40-{T}(V3,V5,V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #178: input, references = 4, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V4), pppp1-{F}(V2,V3) | EXISTS V5: pppp41-{T}(V3,V5,V4)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #179: input, references = 4, size of lhs = 7:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V4), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V7), ordinal-{F}(V5), in-{F}(V5,V4) | pppp1-{T}(V2,V5), in-{T}(V5,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #180: input, references = 6, size of lhs = 7:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V4), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V7), ordinal-{F}(V5), in-{F}(V5,V4) | pppp1-{T}(V2,V5), pppp49-{T}(V1,V7)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #181: input, references = 4, size of lhs = 1:
% 8.36/8.60 pppp49-{F}(V0,V1) | EXISTS V2: pppp43-{T}(V2,V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #182: input, references = 4, size of lhs = 2:
% 8.36/8.60 pppp43-{F}(V0,V1,V2), in-{F}(V3,V0) | EXISTS V4: pppp42-{T}(V0,V3,V4)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #183: input, references = 6, size of lhs = 1:
% 8.36/8.60 pppp43-{F}(V1,V1,V2) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #184: input, references = 4, size of lhs = 1:
% 8.36/8.60 pppp43-{F}(V0,V1,V2) | element-{T}(V0,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #185: input, references = 4, size of lhs = 1:
% 8.36/8.60 pppp42-{F}(V0,V1,V1) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #186: input, references = 4, size of lhs = 1:
% 8.36/8.60 pppp42-{F}(V0,V1,V2) | subset-{T}(V1,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #187: input, references = 4, size of lhs = 1:
% 8.36/8.60 pppp42-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #188: input, references = 4, size of lhs = 2:
% 8.36/8.60 pppp41-{F}(V0,V1,V2), V1 == V0 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #189: input, references = 8, size of lhs = 1:
% 8.36/8.60 pppp41-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #190: input, references = 4, size of lhs = 6:
% 8.36/8.60 pppp40-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5), in-{F}(V1,V2), element-{F}(V6,V5), V6 == V3 | EXISTS V7: pppp39-{T}(V6,V7)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #191: input, references = 4, size of lhs = 4:
% 8.36/8.60 pppp40-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #192: input, references = 10, size of lhs = 3:
% 8.36/8.60 pppp40-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5) | ordinal-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #193: input, references = 5, size of lhs = 4:
% 8.36/8.60 pppp39-{F}(V0,V1), in-{F}(V2,V0), subset-{F}(V1,V2), V2 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #194: input, references = 4, size of lhs = 1:
% 8.36/8.60 pppp39-{F}(V0,V1) | in-{T}(V1,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #195: input, references = 4, size of lhs = 1:
% 8.36/8.60 #-{F} V0 | EXISTS V1: P_succ-{T}(V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #196: input, references = 4, size of lhs = 0:
% 8.36/8.60 FALSE | EXISTS V0: P_omega-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #197: input, references = 26, size of lhs = 1:
% 8.36/8.60 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #198: input, references = 4, size of lhs = 0:
% 8.36/8.60 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 number of initial rules = 199
% 8.36/8.60
% 8.36/8.60 Simplifiers:
% 8.36/8.60 #199: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 P_succ-{F}(V0,V1), P_succ-{F}(V0,V3), V1 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #200: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_omega-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #201: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #202: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #203: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V2), V1 == V4 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #204: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V0 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #205: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #206: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #207: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #208: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #209: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #210: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #211: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #212: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V1 == V4 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #213: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #214: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #215: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #216: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #217: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #218: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #219: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #220: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #221: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #222: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #223: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #224: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #225: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #226: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #227: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #228: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #229: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp25-{F}(V0), pppp25-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #230: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp26-{F}(V0,V1), pppp26-{F}(V2,V1), V0 == V2 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #231: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp27-{F}(V0,V1), pppp27-{F}(V2,V1), V0 == V2 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #232: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #233: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #234: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #235: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp31-{F}(V0,V1), pppp31-{F}(V0,V3), V1 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #236: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #237: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V5,V2,V3), V0 == V4 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #238: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #239: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #240: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp33-{F}(V0,V1), pppp33-{F}(V0,V3), V1 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #241: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #242: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #243: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #244: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp35-{F}(V0,V1,V2), pppp35-{F}(V0,V4,V2), V1 == V4 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #245: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #246: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #247: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #248: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #249: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp37-{F}(V0,V1,V2), pppp37-{F}(V3,V1,V2), V0 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #250: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp37-{F}(V0,V1,V2), pppp37-{F}(V3,V4,V5), V1 == V4 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #251: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp37-{F}(V0,V1,V2), pppp37-{F}(V3,V4,V5), V2 == V5 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #252: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp38-{F}(V0,V1), pppp38-{F}(V0,V3), V1 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #253: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp39-{F}(V0,V1), pppp39-{F}(V0,V3), V1 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #254: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp40-{F}(V0,V1,V2,V3), pppp40-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #255: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp40-{F}(V0,V1,V2,V3), pppp40-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #256: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp40-{F}(V0,V1,V2,V3), pppp40-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #257: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp41-{F}(V0,V1,V2), pppp41-{F}(V0,V4,V2), V1 == V4 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #258: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp42-{F}(V0,V1,V2), pppp42-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #259: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp43-{F}(V0,V1,V2), pppp43-{F}(V3,V1,V2), V0 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #260: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp43-{F}(V0,V1,V2), pppp43-{F}(V3,V4,V5), V1 == V4 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #261: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp44-{F}(V0,V1), pppp44-{F}(V2,V3), V0 == V2 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #262: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp47-{F}(V0,V1), pppp47-{F}(V2,V3), V0 == V2 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #263: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp47-{F}(V0,V1), pppp47-{F}(V2,V3), V1 == V3 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #264: unsound, references = 3, size of lhs = 3:
% 8.36/8.60 pppp49-{F}(V0,V1), pppp49-{F}(V2,V3), V0 == V2 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 number of simplifiers = 66
% 8.36/8.60
% 8.36/8.60 Learnt:
% 8.36/8.60 #276: mergings( V0 == V2, V1 == V4; #271 ), references = 1, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp45-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #279: mergings( V0 == V4, V1 == V5; #272 ), references = 1, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), P_powerset-{F}(V3,V4) | pppp45-{T}(V4)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #294: disj( #4, input ), references = 1, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp2-{F}(V2,V3,V3) | pppp0-{T}(V2,V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #312: mergings( V0 == V2, V1 == V4; #307 ), references = 1, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp46-{T}(V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #315: mergings( V0 == V4, V1 == V5; #308 ), references = 1, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), P_powerset-{F}(V3,V4) | pppp46-{T}(V4)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #338: disj( #4, #5+#3 ), references = 2, size of lhs = 5:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), pppp2-{F}(V2,V4,V3), pppp2-{F}(V2,V4,V5) | in-{T}(V4,V5)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #362: mergings( V3 == V5, V4 == V6; #359 ), references = 1, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), pppp2-{F}(V2,V3,V4) | in-{T}(V3,V4)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #376: exists( #162, #165 ), references = 1, size of lhs = 1:
% 8.36/8.60 pppp36-{F}(V0,V1,V2,V3) | pppp35-{T}(V0,V1,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #377: exists( #162, #166 ), references = 1, size of lhs = 1:
% 8.36/8.60 pppp36-{F}(V0,V1,V2,V3) | pppp35-{T}(V0,V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #382: exists( #160, #378 ), references = 1, size of lhs = 1:
% 8.36/8.60 pppp37-{F}(V0,V1,V2) | pppp36-{T}(V0,V0,V1,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #385: exists( #156, #383 ), references = 1, size of lhs = 1:
% 8.36/8.60 pppp47-{F}(V0,V1) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #387: disj( #155, exists( #156, #383 ) ), references = 2, size of lhs = 3:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2) | pppp48-{T}(V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #403: exists( #178, #188 ), references = 6, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), pppp1-{F}(V2,V4) | pppp41-{T}(V4,V4,V3)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #426: disj( #180, #158+#3 ), references = 3, size of lhs = 10:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), P_succ-{F}(V6,V5), pppp38-{F}(V6,V7), pppp2-{F}(V8,V2,V7), pppp0-{F}(V8,V2) | pppp49-{T}(V1,V4)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #439: exists( #197, #17 ), references = 1, size of lhs = 3:
% 8.36/8.60 P_powerset-{F}(V0,V1), pppp5-{F}(V2,V0,V3,V4), V2 == V0 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #440: exists( #197, #191 ), references = 1, size of lhs = 3:
% 8.36/8.60 P_powerset-{F}(V0,V1), pppp40-{F}(V2,V0,V3,V4), V2 == V0 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #443: exists( #197, #437 ), references = 1, size of lhs = 2:
% 8.36/8.60 pppp5-{F}(V0,V1,V2,V3), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #444: exists( #197, #438 ), references = 2, size of lhs = 2:
% 8.36/8.60 pppp40-{F}(V0,V1,V2,V3), V0 == V1 | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #446: exists( #6, #441 ), references = 8, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), pppp0-{F}(V2,V4) | pppp5-{T}(V4,V4,V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #473: disj( #8, input ), references = 2, size of lhs = 9:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), in-{F}(V2,V3), P_succ-{F}(V4,V3), P_powerset-{F}(V2,V5), P_powerset-{F}(V5,V6), pppp2-{F}(V4,V2,V7), in-{F}(V2,V7) | pppp44-{T}(V1,V6)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #485: mergings( V0 == V7, V1 == V8; #482 ), references = 1, size of lhs = 8:
% 8.36/8.60 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), P_succ-{F}(V4,V3), pppp38-{F}(V4,V0), P_omega-{F}(V5), P_empty_set-{F}(V6) | pppp49-{T}(V6,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #500: exists( #177, #444 ), references = 5, size of lhs = 4:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), pppp1-{F}(V2,V4) | pppp40-{T}(V4,V4,V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #506: exists( #182, #504 ), references = 1, size of lhs = 3:
% 8.36/8.60 in-{F}(V0,V1), pppp4-{F}(V1,V0), pppp43-{F}(V1,V2,V3) | pppp42-{T}(V1,V0,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #510: mergings( V0 == V1; #508 ), references = 1, size of lhs = 9:
% 8.36/8.60 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), element-{F}(V4,V2), pppp5-{F}(V0,V0,V3,V5), V4 == V5, in-{F}(V6,V7), pppp4-{F}(V7,V6), pppp43-{F}(V7,V8,V9) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #517: mergings( V2 == V11, V3 == V14, V0 == V1, V13 == V8; #512 ), references = 2, size of lhs = 13:
% 8.36/8.60 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), element-{F}(V4,V2), pppp5-{F}(V0,V0,V3,V5), V4 == V5, in-{F}(V6,V3), pppp5-{F}(V6,V6,V3,V5), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V8), element-{F}(V9,V8), V9 == V5, pppp43-{F}(V4,V10,V11) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #522: exists( #181, #520 ), references = 4, size of lhs = 9:
% 8.36/8.60 pppp49-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V2), in-{F}(V3,V4), pppp5-{F}(V3,V3,V4,V5), in-{F}(V6,V4), pppp5-{F}(V6,V6,V4,V5), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V1) | pppp43-{T}(V5,V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #542: disj( #180, #522+#183 ), references = 2, size of lhs = 15:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), P_succ-{F}(V6,V5), P_powerset-{F}(V7,V4), P_powerset-{F}(V8,V7), in-{F}(V8,V9), pppp5-{F}(V8,V8,V9,V1), in-{F}(V10,V9), pppp5-{F}(V10,V10,V9,V1), P_powerset-{F}(V10,V11), P_powerset-{F}(V11,V4) | pppp1-{T}(V6,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #587: mergings( V5 == V13, V3 == V13, V13 == V6, V8 == V12, V12 == V14, V4 == V7; #579 ), references = 2, size of lhs = 10:
% 8.36/8.60 ordinal-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), P_succ-{F}(V3,V1), pppp38-{F}(V3,V4), pppp2-{F}(V5,V0,V4), P_succ-{F}(V5,V1), pppp2-{F}(V5,V0,V6), P_powerset-{F}(V0,V7), P_powerset-{F}(V7,V8) | in-{T}(V0,V6)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #594: mergings( V5 == V13, V3 == V13, V13 == V6, V8 == V12, V12 == V14, V4 == V7; #580 ), references = 1, size of lhs = 10:
% 8.36/8.60 ordinal-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), P_succ-{F}(V3,V1), pppp38-{F}(V3,V4), pppp2-{F}(V5,V0,V4), P_succ-{F}(V5,V1), pppp2-{F}(V5,V0,V6), P_powerset-{F}(V0,V7), P_powerset-{F}(V7,V8) | in-{T}(V0,V6)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #611: mergings( V7 == V9; #609 ), references = 3, size of lhs = 10:
% 8.36/8.60 ordinal-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), P_succ-{F}(V3,V1), pppp38-{F}(V3,V4), pppp2-{F}(V5,V0,V4), P_succ-{F}(V5,V1), pppp0-{F}(V5,V0), P_powerset-{F}(V0,V6), pppp2-{F}(V5,V0,V7) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #633: exists( #10, #631 ), references = 2, size of lhs = 3:
% 8.36/8.60 in-{F}(V0,V1), pppp4-{F}(V1,V0), pppp7-{F}(V1,V2,V3) | pppp6-{T}(V1,V0,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #641: mergings( V0 == V1; #639 ), references = 2, size of lhs = 7:
% 8.36/8.60 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), element-{F}(V4,V2), pppp5-{F}(V0,V0,V3,V5), V4 == V5, pppp7-{F}(V4,V6,V7) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #672: exists( #10, #670 ), references = 1, size of lhs = 7:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp38-{F}(V2,V3), P_succ-{F}(V2,V4), pppp39-{F}(V4,V5), in-{F}(V5,V3), pppp7-{F}(V3,V6,V7) | pppp6-{T}(V3,V5,V5)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #679: exists( #9, #676 ), references = 1, size of lhs = 5:
% 8.36/8.60 pppp44-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V2), in-{F}(V3,V4), pppp5-{F}(V3,V3,V4,V5) | pppp7-{T}(V5,V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #682: disj( #8, #678+#11 ), references = 1, size of lhs = 11:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), in-{F}(V2,V3), P_succ-{F}(V4,V3), P_powerset-{F}(V2,V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V7,V6), P_powerset-{F}(V8,V7), in-{F}(V8,V9), pppp5-{F}(V8,V8,V9,V1) | pppp0-{T}(V4,V2)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #708: exists( #197, #611 ), references = 2, size of lhs = 9:
% 8.36/8.60 ordinal-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), P_succ-{F}(V3,V1), pppp38-{F}(V3,V4), pppp2-{F}(V5,V0,V4), P_succ-{F}(V5,V1), pppp0-{F}(V5,V0), pppp2-{F}(V5,V0,V6) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #710: disj( #4, exists( #197, #611 ) ), references = 1, size of lhs = 9:
% 8.36/8.60 ordinal-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), P_succ-{F}(V3,V1), pppp38-{F}(V3,V4), pppp2-{F}(V5,V0,V4), P_succ-{F}(V5,V1), pppp2-{F}(V5,V0,V6), pppp2-{F}(V5,V0,V7) | in-{T}(V0,V6)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #733: exists( #10, #731 ), references = 2, size of lhs = 3:
% 8.36/8.60 in-{F}(V0,V1), pppp39-{F}(V1,V0), pppp7-{F}(V1,V2,V3) | pppp6-{T}(V1,V0,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #740: mergings( V0 == V1; #738 ), references = 1, size of lhs = 7:
% 8.36/8.60 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), element-{F}(V4,V2), pppp40-{F}(V0,V0,V3,V5), V4 == V5, pppp7-{F}(V4,V6,V7) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #744: mergings( V6 == V3; #742 ), references = 2, size of lhs = 5:
% 8.36/8.60 pppp44-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V2), in-{F}(V3,V4), pppp40-{F}(V3,V3,V4,V5) | pppp7-{T}(V5,V0,V1)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #784: exists( #197, #782 ), references = 2, size of lhs = 11:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), in-{F}(V2,V3), P_succ-{F}(V4,V3), P_powerset-{F}(V2,V5), pppp2-{F}(V4,V2,V6), in-{F}(V2,V6), P_powerset-{F}(V7,V5), in-{F}(V7,V8), pppp40-{F}(V7,V7,V8,V1) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #786: exists( #197, #783 ), references = 3, size of lhs = 9:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp2-{F}(V4,V2,V5), in-{F}(V2,V5), in-{F}(V2,V6), pppp40-{F}(V2,V2,V6,V1) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #848: mergings( V9 == V7; #845 ), references = 1, size of lhs = 10:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V0), pppp38-{F}(V2,V3), P_succ-{F}(V4,V0), pppp0-{F}(V4,V5), pppp2-{F}(V4,V5,V3), P_powerset-{F}(V5,V6), pppp2-{F}(V4,V5,V7), pppp5-{F}(V5,V5,V8,V9) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #851: mergings( V0 == V8, V10 == V7; #846 ), references = 1, size of lhs = 10:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V0), pppp38-{F}(V2,V3), P_succ-{F}(V4,V0), pppp0-{F}(V4,V5), pppp2-{F}(V4,V5,V3), P_powerset-{F}(V5,V6), pppp2-{F}(V4,V5,V7), pppp5-{F}(V5,V5,V8,V9) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #855: mergings( V8 == V0; #852 ), references = 1, size of lhs = 9:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V0), pppp38-{F}(V2,V3), P_succ-{F}(V4,V0), pppp0-{F}(V4,V5), pppp2-{F}(V4,V5,V3), pppp2-{F}(V4,V5,V6), pppp5-{F}(V5,V5,V7,V8) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #857: mergings( V8 == V0; #853 ), references = 1, size of lhs = 9:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V0), pppp38-{F}(V2,V3), P_succ-{F}(V4,V0), pppp0-{F}(V4,V5), pppp2-{F}(V4,V5,V3), pppp2-{F}(V4,V5,V6), pppp5-{F}(V5,V5,V7,V8) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #865: mergings( V5 == V9, V3 == V9, V4 == V6; #860 ), references = 1, size of lhs = 8:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V0), pppp38-{F}(V2,V3), P_succ-{F}(V4,V0), pppp2-{F}(V4,V5,V3), pppp2-{F}(V4,V5,V6), pppp2-{F}(V4,V5,V7) | in-{T}(V5,V6)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #869: mergings( V5 == V9, V3 == V9, V4 == V6; #861 ), references = 1, size of lhs = 8:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V0), pppp38-{F}(V2,V3), P_succ-{F}(V4,V0), pppp2-{F}(V4,V5,V3), pppp2-{F}(V4,V5,V6), pppp2-{F}(V4,V5,V7) | in-{T}(V5,V6)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #962: mergings( V8 == V10, V3 == V11, V9 == V4; #957 ), references = 1, size of lhs = 9:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), in-{F}(V2,V4), P_succ-{F}(V5,V4), pppp2-{F}(V5,V2,V6), in-{F}(V2,V6), in-{F}(V2,V7), pppp40-{F}(V2,V2,V7,V1) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #967: mergings( V0 == V7, V10 == V12, V3 == V13, V11 == V4; #958 ), references = 1, size of lhs = 11:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), P_powerset-{F}(V2,V5), pppp2-{F}(V4,V2,V6), in-{F}(V2,V6), P_powerset-{F}(V7,V5), in-{F}(V7,V8), pppp40-{F}(V7,V7,V8,V1), pppp40-{F}(V2,V2,V8,V1) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #973: mergings( V7 == V9, V3 == V10, V8 == V0; #968 ), references = 2, size of lhs = 8:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp2-{F}(V4,V2,V5), in-{F}(V2,V5), in-{F}(V2,V6), pppp40-{F}(V2,V2,V6,V1) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #977: mergings( V7 == V9, V3 == V10, V8 == V0; #969 ), references = 2, size of lhs = 8:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp2-{F}(V4,V2,V5), in-{F}(V2,V5), in-{F}(V2,V6), pppp40-{F}(V2,V2,V6,V1) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #999: mergings( V5 == V8, V8 == V11, V11 == V15, V3 == V9, V9 == V15, V15 == V13, V4 == V6, V6 == V10, V10 == V14; #988 ), references = 1, size of lhs = 8:
% 8.36/8.60 pppp3-{F}(V0), P_succ-{F}(V0,V1), P_omega-{F}(V1), P_succ-{F}(V2,V1), pppp38-{F}(V2,V3), pppp38-{F}(V4,V3), P_succ-{F}(V4,V1), P_empty_set-{F}(V5) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1009: mergings( V5 == V8, V8 == V11, V11 == V15, V3 == V9, V9 == V15, V15 == V13, V4 == V6, V6 == V10, V10 == V14; #989 ), references = 1, size of lhs = 8:
% 8.36/8.60 pppp3-{F}(V0), P_succ-{F}(V0,V1), P_omega-{F}(V1), P_succ-{F}(V2,V1), pppp38-{F}(V2,V3), pppp38-{F}(V4,V3), P_succ-{F}(V4,V1), P_empty_set-{F}(V5) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1021: mergings( V5 == V7, V7 == V10, V10 == V13, V3 == V8, V8 == V13, V13 == V11, V4 == V6, V6 == V9, V9 == V12; #1010 ), references = 1, size of lhs = 6:
% 8.36/8.60 pppp48-{F}(V0), pppp3-{F}(V1), P_succ-{F}(V1,V2), P_omega-{F}(V2), P_succ-{F}(V0,V2), P_empty_set-{F}(V3) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1052: mergings( V3 == V5, V4 == V6; #1049 ), references = 1, size of lhs = 6:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp38-{F}(V2,V3), P_succ-{F}(V2,V4), in-{F}(V4,V5), pppp2-{F}(V6,V5,V3) | pppp0-{T}(V6,V5)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1086: disj( #179, #158+#3 ), references = 4, size of lhs = 10:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), P_succ-{F}(V6,V5), pppp38-{F}(V6,V7), pppp2-{F}(V8,V2,V7), pppp0-{F}(V8,V2) | in-{T}(V2,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1089: mergings( V0 == V7, V1 == V8; #1085 ), references = 4, size of lhs = 8:
% 8.36/8.60 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), P_succ-{F}(V4,V3), pppp38-{F}(V4,V0), P_omega-{F}(V5), P_empty_set-{F}(V6) | in-{T}(V0,V5)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1146: mergings( V3 == V5, V4 == V6; #1143 ), references = 1, size of lhs = 5:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), P_succ-{F}(V2,V3), in-{F}(V3,V4), pppp2-{F}(V2,V4,V5) | in-{T}(V4,V5)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1259: mergings( V5 == V7, V6 == V8; #1254 ), references = 1, size of lhs = 12:
% 8.36/8.60 ordinal-{F}(V0), P_powerset-{F}(V0,V1), in-{F}(V0,V2), P_succ-{F}(V3,V2), pppp38-{F}(V3,V0), P_omega-{F}(V4), P_empty_set-{F}(V5), pppp40-{F}(V0,V0,V4,V5), in-{F}(V0,V6), P_succ-{F}(V7,V6), pppp2-{F}(V7,V0,V8), in-{F}(V0,V8) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1262: mergings( V5 == V7, V6 == V8; #1255 ), references = 1, size of lhs = 12:
% 8.36/8.60 ordinal-{F}(V0), P_powerset-{F}(V0,V1), in-{F}(V0,V2), P_succ-{F}(V3,V2), pppp38-{F}(V3,V0), P_omega-{F}(V4), P_empty_set-{F}(V5), pppp40-{F}(V0,V0,V4,V5), in-{F}(V0,V6), P_succ-{F}(V7,V6), pppp2-{F}(V7,V0,V8), in-{F}(V0,V8) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1265: mergings( V2 == V4, V3 == V5; #1256 ), references = 1, size of lhs = 12:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), pppp40-{F}(V2,V2,V0,V1), P_powerset-{F}(V2,V3), in-{F}(V2,V4), P_succ-{F}(V5,V4), pppp38-{F}(V5,V2), in-{F}(V2,V6), P_succ-{F}(V7,V6), pppp2-{F}(V7,V2,V8), in-{F}(V2,V8) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1271: mergings( V4 == V6, V5 == V7; #1266 ), references = 2, size of lhs = 11:
% 8.36/8.60 ordinal-{F}(V0), in-{F}(V0,V1), P_succ-{F}(V2,V1), pppp38-{F}(V2,V0), P_omega-{F}(V3), P_empty_set-{F}(V4), pppp40-{F}(V0,V0,V3,V4), in-{F}(V0,V5), P_succ-{F}(V6,V5), pppp2-{F}(V6,V0,V7), in-{F}(V0,V7) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1274: mergings( V4 == V6, V5 == V7; #1267 ), references = 2, size of lhs = 11:
% 8.36/8.60 ordinal-{F}(V0), in-{F}(V0,V1), P_succ-{F}(V2,V1), pppp38-{F}(V2,V0), P_omega-{F}(V3), P_empty_set-{F}(V4), pppp40-{F}(V0,V0,V3,V4), in-{F}(V0,V5), P_succ-{F}(V6,V5), pppp2-{F}(V6,V0,V7), in-{F}(V0,V7) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1277: mergings( V2 == V4, V3 == V5; #1268 ), references = 2, size of lhs = 11:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), pppp40-{F}(V2,V2,V0,V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp38-{F}(V4,V2), in-{F}(V2,V5), P_succ-{F}(V6,V5), pppp2-{F}(V6,V2,V7), in-{F}(V2,V7) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1328: mergings( V2 == V11, V3 == V12, V10 == V4; #1322 ), references = 1, size of lhs = 11:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp40-{F}(V2,V2,V0,V1), P_powerset-{F}(V2,V3), in-{F}(V2,V4), P_succ-{F}(V5,V4), pppp38-{F}(V5,V2), in-{F}(V2,V6), P_succ-{F}(V7,V6), pppp2-{F}(V7,V2,V8), in-{F}(V2,V8) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1332: mergings( V2 == V11, V3 == V12, V10 == V4; #1323 ), references = 1, size of lhs = 11:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp40-{F}(V2,V2,V0,V1), P_powerset-{F}(V2,V3), in-{F}(V2,V4), P_succ-{F}(V5,V4), pppp38-{F}(V5,V2), in-{F}(V2,V6), P_succ-{F}(V7,V6), pppp2-{F}(V7,V2,V8), in-{F}(V2,V8) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1336: mergings( V2 == V11, V3 == V12, V10 == V4; #1324 ), references = 1, size of lhs = 11:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp40-{F}(V2,V2,V0,V1), P_powerset-{F}(V2,V3), in-{F}(V2,V4), P_succ-{F}(V5,V4), pppp38-{F}(V5,V2), in-{F}(V2,V6), P_succ-{F}(V7,V6), pppp2-{F}(V7,V2,V8), in-{F}(V2,V8) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1343: mergings( V2 == V10, V3 == V11, V9 == V0; #1337 ), references = 1, size of lhs = 10:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp40-{F}(V2,V2,V0,V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp38-{F}(V4,V2), in-{F}(V2,V5), P_succ-{F}(V6,V5), pppp2-{F}(V6,V2,V7), in-{F}(V2,V7) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1347: mergings( V2 == V10, V3 == V11, V9 == V0; #1338 ), references = 1, size of lhs = 10:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp40-{F}(V2,V2,V0,V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp38-{F}(V4,V2), in-{F}(V2,V5), P_succ-{F}(V6,V5), pppp2-{F}(V6,V2,V7), in-{F}(V2,V7) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1351: mergings( V2 == V10, V3 == V11, V9 == V0; #1339 ), references = 1, size of lhs = 10:
% 8.36/8.60 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp40-{F}(V2,V2,V0,V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp38-{F}(V4,V2), in-{F}(V2,V5), P_succ-{F}(V6,V5), pppp2-{F}(V6,V2,V7), in-{F}(V2,V7) | FALSE
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1391: mergings( V0 == V7, V1 == V8; #1386 ), references = 2, size of lhs = 12:
% 8.36/8.60 ordinal-{F}(V0), in-{F}(V0,V1), P_succ-{F}(V2,V1), P_powerset-{F}(V0,V3), P_powerset-{F}(V3,V4), P_omega-{F}(V5), P_empty_set-{F}(V6), pppp40-{F}(V0,V0,V5,V6), in-{F}(V0,V7), P_succ-{F}(V8,V7), pppp2-{F}(V8,V0,V9), in-{F}(V0,V9) | pppp0-{T}(V2,V0)
% 8.36/8.60 (used 0 times, uses = {})
% 8.36/8.60
% 8.36/8.60 #1394: mergings( V0 == V7, V1 == V8; #1387 ), references = 1, size of lhs = 12:
% 8.36/8.60 ordinal-{F}(V0), in-{F}(V0,V1), P_succ-{F}(V2,V1), P_powerset-{F}(V0,V3), P_powerset-{F}(V3,V4), P_omega-{F}(V5), P_empty_set-{F}(V6), pppp40-{F}(V0,V0,V5,V6), in-{F}(V0,V7), P_succ-{F}(V8,V7), pppp2-{F}(V8,V0,V9), in-{F}(V0,V9) | pppp0-{T}(V2,V0)
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1397: mergings( V0 == V7, V1 == V8; #1388 ), references = 1, size of lhs = 12:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), pppp40-{F}(V2,V2,V0,V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), P_powerset-{F}(V2,V5), P_powerset-{F}(V5,V6), in-{F}(V2,V7), P_succ-{F}(V8,V7), pppp2-{F}(V8,V2,V9), in-{F}(V2,V9) | pppp0-{T}(V4,V2)
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1416: mergings( V8 == V4, V3 == V7; #1413 ), references = 2, size of lhs = 11:
% 8.36/8.61 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_omega-{F}(V2), P_empty_set-{F}(V3), pppp40-{F}(V0,V0,V2,V3), in-{F}(V0,V4), P_succ-{F}(V5,V4), pppp2-{F}(V5,V0,V6), in-{F}(V0,V6), pppp2-{F}(V5,V0,V7), in-{F}(V0,V7) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1420: mergings( V7 == V3, V2 == V6; #1417 ), references = 2, size of lhs = 10:
% 8.36/8.61 ordinal-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), pppp40-{F}(V0,V0,V1,V2), in-{F}(V0,V3), P_succ-{F}(V4,V3), pppp2-{F}(V4,V0,V5), in-{F}(V0,V5), pppp2-{F}(V4,V0,V6), in-{F}(V0,V6) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1438: mergings( V2 == V10, V3 == V11, V9 == V4; #1433 ), references = 1, size of lhs = 10:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp40-{F}(V2,V2,V0,V1), P_powerset-{F}(V2,V3), in-{F}(V2,V4), P_succ-{F}(V5,V4), pppp2-{F}(V5,V2,V6), in-{F}(V2,V6), pppp2-{F}(V5,V2,V7), in-{F}(V2,V7) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1443: mergings( V0 == V5, V2 == V11, V3 == V12, V10 == V4; #1434 ), references = 1, size of lhs = 10:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp40-{F}(V2,V2,V0,V1), P_powerset-{F}(V2,V3), in-{F}(V2,V4), P_succ-{F}(V5,V4), pppp2-{F}(V5,V2,V6), in-{F}(V2,V6), pppp2-{F}(V5,V2,V7), in-{F}(V2,V7) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1449: mergings( V2 == V9, V3 == V10, V8 == V0; #1444 ), references = 2, size of lhs = 9:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp40-{F}(V2,V2,V0,V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp2-{F}(V4,V2,V5), in-{F}(V2,V5), pppp2-{F}(V4,V2,V6), in-{F}(V2,V6) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1453: mergings( V2 == V9, V3 == V10, V8 == V0; #1445 ), references = 1, size of lhs = 9:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp40-{F}(V2,V2,V0,V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp2-{F}(V4,V2,V5), in-{F}(V2,V5), pppp2-{F}(V4,V2,V6), in-{F}(V2,V6) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1464: mergings( V3 == V5, V4 == V6; #1460 ), references = 1, size of lhs = 6:
% 8.36/8.61 pppp3-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), P_succ-{F}(V0,V3), pppp38-{F}(V4,V3), P_succ-{F}(V4,V5) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1499: mergings( V0 == V4, V1 == V5; #1495 ), references = 1, size of lhs = 4:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4) | pppp45-{T}(V4)
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1500: disj( #36, input ), references = 1, size of lhs = 4:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp17-{F}(V2), P_powerset-{F}(V2,V3) | pppp45-{T}(V3)
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1568: mergings( V3 == V5, V5 == V12, V4 == V6, V6 == V13; #1563 ), references = 1, size of lhs = 11:
% 8.36/8.61 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_omega-{F}(V3), in-{F}(V3,V0), P_empty_set-{F}(V4), pppp2-{F}(V5,V0,V6), P_succ-{F}(V5,V7), P_succ-{F}(V8,V7), pppp38-{F}(V8,V9), pppp2-{F}(V5,V0,V9) | in-{T}(V0,V6)
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1680: mergings( V2 == V9, V3 == V10; #1677 ), references = 1, size of lhs = 10:
% 8.36/8.61 ordinal-{F}(V0), P_powerset-{F}(V0,V1), in-{F}(V0,V2), P_succ-{F}(V3,V2), pppp38-{F}(V3,V4), pppp2-{F}(V5,V0,V4), pppp0-{F}(V5,V0), P_omega-{F}(V6), in-{F}(V6,V0), P_empty_set-{F}(V7) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1714: mergings( V2 == V9, V3 == V10, V8 == V15; #1710 ), references = 2, size of lhs = 17:
% 8.36/8.61 ordinal-{F}(V0), P_powerset-{F}(V0,V1), in-{F}(V0,V2), P_succ-{F}(V3,V2), pppp38-{F}(V3,V4), pppp2-{F}(V5,V0,V4), pppp0-{F}(V5,V0), P_omega-{F}(V6), P_empty_set-{F}(V7), ordinal-{F}(V8), pppp5-{F}(V8,V8,V6,V7), P_powerset-{F}(V8,V1), pppp0-{F}(V5,V8), in-{F}(V8,V9), P_succ-{F}(V10,V9), pppp38-{F}(V10,V11), pppp2-{F}(V5,V8,V11) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1719: mergings( V2 == V8, V3 == V9, V7 == V13; #1715 ), references = 2, size of lhs = 13:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), pppp5-{F}(V2,V2,V0,V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp38-{F}(V4,V5), pppp2-{F}(V6,V2,V5), pppp0-{F}(V6,V2), in-{F}(V2,V7), P_succ-{F}(V8,V7), pppp38-{F}(V8,V9), pppp2-{F}(V6,V2,V9) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1728: mergings( V9 == V10, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1722 ), references = 1, size of lhs = 11:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), pppp2-{F}(V3,V2,V4), P_succ-{F}(V3,V5), P_succ-{F}(V6,V5), pppp38-{F}(V6,V7), pppp2-{F}(V3,V2,V7), P_succ-{F}(V8,V5), pppp38-{F}(V8,V9), pppp2-{F}(V3,V2,V9) | in-{T}(V2,V4)
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1797: mergings( V8 == V9, V3 == V5, V4 == V6, V10 == V0; #1791 ), references = 3, size of lhs = 6:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp38-{F}(V2,V3), P_succ-{F}(V2,V4), P_succ-{F}(V5,V4), pppp2-{F}(V5,V6,V3) | pppp0-{T}(V5,V6)
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1834: mergings( V0 == V4, V1 == V5; #1829 ), references = 1, size of lhs = 4:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4) | pppp46-{T}(V4)
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1835: disj( #108, input ), references = 1, size of lhs = 4:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp17-{F}(V2), P_powerset-{F}(V2,V3) | pppp46-{T}(V3)
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1836: disj( #108, input ), references = 1, size of lhs = 4:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), pppp11-{F}(V2,V4) | pppp46-{T}(V3)
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1905: disj( #7, input ), references = 1, size of lhs = 9:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), ordinal-{F}(V2), in-{F}(V2,V3), P_succ-{F}(V4,V3), P_powerset-{F}(V2,V5), P_powerset-{F}(V5,V6), pppp2-{F}(V4,V2,V7), in-{F}(V2,V7) | in-{T}(V2,V0)
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1969: mergings( V2 == V13, V3 == V14, V12 == V4; #1964 ), references = 1, size of lhs = 13:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp5-{F}(V2,V2,V0,V1), P_powerset-{F}(V2,V3), in-{F}(V2,V4), P_succ-{F}(V5,V4), pppp38-{F}(V5,V6), pppp2-{F}(V7,V2,V6), pppp0-{F}(V7,V2), in-{F}(V2,V8), P_succ-{F}(V9,V8), pppp38-{F}(V9,V10), pppp2-{F}(V7,V2,V10) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1974: mergings( V0 == V9, V2 == V14, V3 == V15, V13 == V4; #1965 ), references = 1, size of lhs = 13:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp5-{F}(V2,V2,V0,V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp38-{F}(V4,V5), pppp2-{F}(V6,V2,V5), pppp0-{F}(V6,V2), P_powerset-{F}(V2,V7), in-{F}(V2,V8), P_succ-{F}(V9,V8), pppp38-{F}(V9,V10), pppp2-{F}(V6,V2,V10) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1980: mergings( V2 == V12, V3 == V13, V11 == V0; #1975 ), references = 1, size of lhs = 12:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp5-{F}(V2,V2,V0,V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp38-{F}(V4,V5), pppp2-{F}(V6,V2,V5), pppp0-{F}(V6,V2), in-{F}(V2,V7), P_succ-{F}(V8,V7), pppp38-{F}(V8,V9), pppp2-{F}(V6,V2,V9) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1984: mergings( V2 == V12, V3 == V13, V11 == V0; #1976 ), references = 1, size of lhs = 12:
% 8.36/8.61 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp5-{F}(V2,V2,V0,V1), in-{F}(V2,V3), P_succ-{F}(V4,V3), pppp38-{F}(V4,V5), pppp2-{F}(V6,V2,V5), pppp0-{F}(V6,V2), in-{F}(V2,V7), P_succ-{F}(V8,V7), pppp38-{F}(V8,V9), pppp2-{F}(V6,V2,V9) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #1999: mergings( V10 == V11, V11 == V12, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1991 ), references = 1, size of lhs = 10:
% 8.36/8.61 pppp3-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), P_succ-{F}(V0,V3), P_succ-{F}(V4,V3), pppp38-{F}(V4,V5), P_succ-{F}(V6,V3), pppp38-{F}(V6,V5), P_succ-{F}(V7,V3), pppp38-{F}(V7,V5) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #2006: mergings( V10 == V11, V11 == V12, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1992 ), references = 1, size of lhs = 10:
% 8.36/8.61 pppp3-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), P_succ-{F}(V0,V3), P_succ-{F}(V4,V3), pppp38-{F}(V4,V5), P_succ-{F}(V6,V3), pppp38-{F}(V6,V5), P_succ-{F}(V7,V3), pppp38-{F}(V7,V5) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #2015: mergings( V9 == V10, V10 == V11, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #2007 ), references = 1, size of lhs = 6:
% 8.36/8.61 pppp48-{F}(V0), pppp3-{F}(V1), P_omega-{F}(V2), P_empty_set-{F}(V3), P_succ-{F}(V0,V4), P_succ-{F}(V1,V4) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #2022: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #2016 ), references = 1, size of lhs = 4:
% 8.36/8.61 pppp48-{F}(V0), pppp3-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #2030: mergings( V1 == V3, V3 == V4, V4 == V5; #2025 ), references = 1, size of lhs = 3:
% 8.36/8.61 ordinal-{F}(V0), pppp3-{F}(V0), P_omega-{F}(V1) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #2033: exists( #196, #2025 ), references = 1, size of lhs = 2:
% 8.36/8.61 ordinal-{F}(V0), pppp3-{F}(V0) | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 #2038: exists( #0, #2034 ), references = 1, size of lhs = 0:
% 8.36/8.61 FALSE | FALSE
% 8.36/8.61 (used 0 times, uses = {})
% 8.36/8.61
% 8.36/8.61 number of learnt formulas = 104
% 8.36/8.61
% 8.36/8.61
% 8.36/8.61 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.36/8.61
% 8.36/8.61 randbase = 1
%------------------------------------------------------------------------------