TSTP Solution File: SEU301+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU301+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 57.75s 57.94s
% Output : Refutation 57.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU301+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 19:22:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 57.75/57.94 GeoParameters:
% 57.75/57.94
% 57.75/57.94 tptp_input = 1
% 57.75/57.94 tptp_output = 0
% 57.75/57.94 nonempty = 1
% 57.75/57.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.75/57.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 57.75/57.94
% 57.75/57.94
% 57.75/57.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.75/57.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.75/57.94
% 57.75/57.94 RuleSystem INPUT:
% 57.75/57.94
% 57.75/57.94 Initial Rules:
% 57.75/57.94 #0: input, references = 5, size of lhs = 4:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | pppp11-{T}(V0,V1,V3)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #1: input, references = 5, size of lhs = 1:
% 57.75/57.94 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V3,V0,V1)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #2: input, references = 5, size of lhs = 9:
% 57.75/57.94 pppp11-{F}(V0,V1,V2), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), ordinal-{F}(V3), being_limit_ordinal-{F}(V3), in-{F}(V3,V1), element-{F}(V6,V5), V3 == V0, V6 == V0 | pppp43-{T}(V3,V0,V1), pppp44-{T}(V6)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #3: input, references = 4, size of lhs = 1:
% 57.75/57.94 pppp43-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V3,V1,V2)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #4: input, references = 5, size of lhs = 1:
% 57.75/57.94 pppp44-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #5: input, references = 5, size of lhs = 10:
% 57.75/57.94 pppp11-{F}(V0,V1,V2), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), P_succ-{F}(V3,V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V8), ordinal-{F}(V3), in-{F}(V6,V1), element-{F}(V9,V8), V9 == V0 | pppp45-{T}(V0,V5), pppp46-{T}(V9)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #6: input, references = 9, size of lhs = 1:
% 57.75/57.94 pppp45-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V0,V1)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #7: input, references = 6, size of lhs = 1:
% 57.75/57.94 pppp46-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #8: input, references = 9, size of lhs = 10:
% 57.75/57.94 pppp11-{F}(V0,V1,V2), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), P_succ-{F}(V3,V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V8), ordinal-{F}(V3), in-{F}(V6,V1), element-{F}(V9,V8), V9 == V0 | in-{T}(V3,V1), pppp47-{T}(V9)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #9: input, references = 6, size of lhs = 1:
% 57.75/57.94 pppp47-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #10: input, references = 7, size of lhs = 4:
% 57.75/57.94 pppp11-{F}(V0,V1,V2), in-{F}(V0,V1), element-{F}(V3,V2), V3 == V0 | EXISTS V4: pppp0-{T}(V3,V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #11: input, references = 11, size of lhs = 3:
% 57.75/57.94 pppp10-{F}(V0,V1,V2), P_powerset-{F}(V0,V3), P_powerset-{F}(V3,V4) | EXISTS V5: pppp9-{T}(V5,V1,V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #12: input, references = 10, size of lhs = 3:
% 57.75/57.94 pppp10-{F}(V0,V1,V2), P_powerset-{F}(V0,V3), P_powerset-{F}(V3,V4) | in-{T}(V0,V2)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #13: input, references = 9, size of lhs = 3:
% 57.75/57.94 pppp10-{F}(V0,V1,V2), P_powerset-{F}(V0,V3), P_powerset-{F}(V3,V4) | ordinal-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #14: input, references = 8, size of lhs = 2:
% 57.75/57.94 pppp9-{F}(V0,V1,V2), in-{F}(V3,V0) | EXISTS V4: pppp8-{T}(V0,V3,V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #15: input, references = 7, size of lhs = 1:
% 57.75/57.94 pppp9-{F}(V1,V1,V2) | FALSE
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #16: input, references = 13, size of lhs = 1:
% 57.75/57.94 pppp9-{F}(V0,V1,V2) | element-{T}(V0,V2)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #17: input, references = 9, size of lhs = 1:
% 57.75/57.94 pppp8-{F}(V0,V1,V1) | FALSE
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #18: input, references = 8, size of lhs = 1:
% 57.75/57.94 pppp8-{F}(V0,V1,V2) | subset-{T}(V1,V2)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #19: input, references = 8, size of lhs = 1:
% 57.75/57.94 pppp8-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #20: input, references = 5, size of lhs = 4:
% 57.75/57.94 pppp7-{F}(V0,V1), in-{F}(V2,V0), subset-{F}(V1,V2), V2 == V1 | FALSE
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #21: input, references = 5, size of lhs = 1:
% 57.75/57.94 pppp7-{F}(V0,V1) | in-{T}(V1,V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #22: input, references = 4, size of lhs = 3:
% 57.75/57.94 pppp6-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5) | EXISTS V6: pppp5-{T}(V6,V2,V5)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #23: input, references = 10, size of lhs = 3:
% 57.75/57.94 pppp6-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5) | in-{T}(V1,V3)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #24: input, references = 5, size of lhs = 3:
% 57.75/57.94 pppp6-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5) | in-{T}(V1,V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #25: input, references = 4, size of lhs = 3:
% 57.75/57.94 pppp6-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V4,V5) | ordinal-{T}(V1)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #26: input, references = 4, size of lhs = 2:
% 57.75/57.94 pppp5-{F}(V0,V1,V2), in-{F}(V3,V0) | EXISTS V4: pppp4-{T}(V0,V3,V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #27: input, references = 5, size of lhs = 1:
% 57.75/57.94 pppp5-{F}(V1,V1,V2) | FALSE
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #28: input, references = 5, size of lhs = 1:
% 57.75/57.94 pppp5-{F}(V0,V1,V2) | element-{T}(V0,V2)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #29: input, references = 5, size of lhs = 1:
% 57.75/57.94 pppp4-{F}(V0,V1,V1) | FALSE
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #30: input, references = 5, size of lhs = 1:
% 57.75/57.94 pppp4-{F}(V0,V1,V2) | subset-{T}(V1,V2)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #31: input, references = 5, size of lhs = 1:
% 57.75/57.94 pppp4-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #32: input, references = 6, size of lhs = 4:
% 57.75/57.94 pppp3-{F}(V0,V1), in-{F}(V2,V0), subset-{F}(V1,V2), V2 == V1 | FALSE
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #33: input, references = 9, size of lhs = 1:
% 57.75/57.94 pppp3-{F}(V0,V1) | in-{T}(V1,V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #34: input, references = 6, size of lhs = 2:
% 57.75/57.94 pppp2-{F}(V0,V1,V2), in-{F}(V3,V0) | EXISTS V4: pppp1-{T}(V0,V3,V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #35: input, references = 8, size of lhs = 1:
% 57.75/57.94 pppp2-{F}(V1,V1,V2) | FALSE
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #36: input, references = 9, size of lhs = 1:
% 57.75/57.94 pppp2-{F}(V0,V1,V2) | element-{T}(V0,V2)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #37: input, references = 7, size of lhs = 1:
% 57.75/57.94 pppp1-{F}(V0,V1,V1) | FALSE
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #38: input, references = 6, size of lhs = 1:
% 57.75/57.94 pppp1-{F}(V0,V1,V2) | subset-{T}(V1,V2)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #39: input, references = 6, size of lhs = 1:
% 57.75/57.94 pppp1-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #40: input, references = 7, size of lhs = 4:
% 57.75/57.94 pppp0-{F}(V0,V1), in-{F}(V2,V0), subset-{F}(V1,V2), V2 == V1 | FALSE
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #41: input, references = 7, size of lhs = 1:
% 57.75/57.94 pppp0-{F}(V0,V1) | in-{T}(V1,V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #42: input, references = 3, size of lhs = 4:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp12-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #43: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp12-{F}(V0) | finite-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #44: input, references = 3, size of lhs = 2:
% 57.75/57.94 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #45: input, references = 4, size of lhs = 5:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5) | EXISTS V6: pppp14-{T}(V5,V6)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #46: input, references = 6, size of lhs = 1:
% 57.75/57.94 pppp14-{F}(V0,V1) | pppp13-{T}(V1,V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #47: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp13-{F}(V0,V1) | finite-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #48: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp13-{F}(V0,V1) | natural-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #49: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp13-{F}(V0,V1) | ordinal-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #50: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp13-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #51: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp13-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #52: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp13-{F}(V0,V1) | one_to_one-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #53: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp13-{F}(V0,V1) | function-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #54: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp13-{F}(V0,V1) | relation-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #55: input, references = 5, size of lhs = 1:
% 57.75/57.94 pppp13-{F}(V0,V1) | empty-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #56: input, references = 4, size of lhs = 1:
% 57.75/57.94 pppp13-{F}(V0,V1) | element-{T}(V0,V1)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #57: input, references = 4, size of lhs = 5:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5) | empty-{T}(V4), pppp48-{T}(V5)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #58: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp48-{F}(V0) | EXISTS V1: pppp15-{T}(V1,V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #59: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp15-{F}(V0,V1) | finite-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #60: input, references = 3, size of lhs = 2:
% 57.75/57.94 pppp15-{F}(V0,V1), empty-{F}(V0) | FALSE
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #61: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp15-{F}(V0,V1) | element-{T}(V0,V1)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #62: input, references = 3, size of lhs = 7:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), finite-{F}(V4), element-{F}(V6,V5) | finite-{T}(V6)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #63: input, references = 3, size of lhs = 5:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4) | finite-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #64: input, references = 3, size of lhs = 4:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp16-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #65: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp16-{F}(V0) | function-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #66: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp16-{F}(V0) | relation-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #67: input, references = 3, size of lhs = 5:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4) | function-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #68: input, references = 4, size of lhs = 4:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp17-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #69: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp17-{F}(V0) | function-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #70: input, references = 4, size of lhs = 1:
% 57.75/57.94 pppp17-{F}(V0) | empty-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #71: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp17-{F}(V0) | relation-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #72: input, references = 3, size of lhs = 7:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), relation-{F}(V4), empty-{F}(V4), function-{F}(V4) | one_to_one-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #73: input, references = 3, size of lhs = 4:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp18-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #74: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp18-{F}(V0) | one_to_one-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #75: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp18-{F}(V0) | function-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #76: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp18-{F}(V0) | relation-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #77: input, references = 3, size of lhs = 4:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp19-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #78: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp19-{F}(V0) | function-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #79: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp19-{F}(V0) | relation_empty_yielding-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #80: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp19-{F}(V0) | relation-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #81: input, references = 3, size of lhs = 4:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp20-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #82: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp20-{F}(V0) | being_limit_ordinal-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #83: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp20-{F}(V0) | ordinal-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #84: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp20-{F}(V0) | epsilon_connected-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #85: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp20-{F}(V0) | epsilon_transitive-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #86: input, references = 4, size of lhs = 4:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp21-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #87: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp21-{F}(V0) | relation-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #88: input, references = 5, size of lhs = 1:
% 57.75/57.94 pppp21-{F}(V0) | empty-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #89: input, references = 3, size of lhs = 5:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4) | relation-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #90: input, references = 3, size of lhs = 4:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp22-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #91: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp22-{F}(V0) | relation-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #92: input, references = 3, size of lhs = 2:
% 57.75/57.94 pppp22-{F}(V0), empty-{F}(V0) | FALSE
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #93: input, references = 3, size of lhs = 4:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp23-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #94: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp23-{F}(V0) | relation_empty_yielding-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #95: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp23-{F}(V0) | relation-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #96: input, references = 3, size of lhs = 6:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4), ordinal-{F}(V4) | epsilon_transitive-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #97: input, references = 3, size of lhs = 6:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4), ordinal-{F}(V4) | epsilon_connected-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #98: input, references = 3, size of lhs = 6:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4), ordinal-{F}(V4) | natural-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #99: input, references = 3, size of lhs = 4:
% 57.75/57.94 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp25-{T}(V4)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #100: input, references = 3, size of lhs = 1:
% 57.75/57.94 pppp25-{F}(V0) | pppp24-{T}(V0)
% 57.75/57.94 (used 0 times, uses = {})
% 57.75/57.94
% 57.75/57.94 #101: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp24-{F}(V0) | natural-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #102: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp24-{F}(V0) | ordinal-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #103: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp24-{F}(V0) | epsilon_connected-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #104: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp24-{F}(V0) | epsilon_transitive-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #105: input, references = 3, size of lhs = 2:
% 57.75/57.95 pppp24-{F}(V0), empty-{F}(V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #106: input, references = 3, size of lhs = 7:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_succ-{F}(V4,V5), ordinal-{F}(V4), natural-{F}(V4) | pppp26-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #107: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp26-{F}(V0) | natural-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #108: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp26-{F}(V0) | ordinal-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #109: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp26-{F}(V0) | epsilon_connected-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #110: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp26-{F}(V0) | epsilon_transitive-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #111: input, references = 3, size of lhs = 2:
% 57.75/57.95 pppp26-{F}(V0), empty-{F}(V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #112: input, references = 3, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), epsilon_transitive-{F}(V4), epsilon_connected-{F}(V4) | ordinal-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #113: input, references = 3, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp27-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #114: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp27-{F}(V0) | ordinal-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #115: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp27-{F}(V0) | epsilon_connected-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #116: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp27-{F}(V0) | epsilon_transitive-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #117: input, references = 4, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp29-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #118: input, references = 5, size of lhs = 1:
% 57.75/57.95 pppp29-{F}(V0) | pppp28-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #119: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp28-{F}(V0) | ordinal-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #120: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp28-{F}(V0) | epsilon_connected-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #121: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp28-{F}(V0) | epsilon_transitive-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #122: input, references = 5, size of lhs = 1:
% 57.75/57.95 pppp28-{F}(V0) | empty-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #123: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp28-{F}(V0) | one_to_one-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #124: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp28-{F}(V0) | function-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #125: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp28-{F}(V0) | relation-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #126: input, references = 3, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4) | epsilon_transitive-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #127: input, references = 3, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4) | epsilon_connected-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #128: input, references = 3, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4) | ordinal-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #129: input, references = 3, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp30-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #130: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp30-{F}(V0) | ordinal-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #131: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp30-{F}(V0) | epsilon_connected-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #132: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp30-{F}(V0) | epsilon_transitive-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #133: input, references = 3, size of lhs = 2:
% 57.75/57.95 pppp30-{F}(V0), empty-{F}(V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #134: input, references = 4, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5) | empty-{T}(V4), pppp49-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #135: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp49-{F}(V0) | EXISTS V1: pppp31-{T}(V1,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #136: input, references = 3, size of lhs = 2:
% 57.75/57.95 pppp31-{F}(V0,V1), empty-{F}(V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #137: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp31-{F}(V0,V1) | element-{T}(V0,V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #138: input, references = 4, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5) | EXISTS V6: pppp32-{T}(V6,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #139: input, references = 5, size of lhs = 1:
% 57.75/57.95 pppp32-{F}(V0,V1) | empty-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #140: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp32-{F}(V0,V1) | element-{T}(V0,V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #141: input, references = 4, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp33-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #142: input, references = 5, size of lhs = 1:
% 57.75/57.95 pppp33-{F}(V0) | empty-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #143: input, references = 3, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp34-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #144: input, references = 3, size of lhs = 2:
% 57.75/57.95 pppp34-{F}(V0), empty-{F}(V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #145: input, references = 3, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), #-{F} V4 | subset-{T}(V4,V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #146: input, references = 8, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), in-{F}(V5,V4) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #147: input, references = 3, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | epsilon_transitive-{T}(V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #148: input, references = 3, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | epsilon_connected-{T}(V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #149: input, references = 3, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | ordinal-{T}(V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #150: input, references = 4, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V1) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #151: input, references = 7, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | empty-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #152: input, references = 3, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | relation-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #153: input, references = 3, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | empty-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #154: input, references = 3, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | relation-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #155: input, references = 3, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | relation_empty_yielding-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #156: input, references = 3, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4), element-{F}(V5,V4) | epsilon_transitive-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #157: input, references = 3, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4), element-{F}(V5,V4) | epsilon_connected-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #158: input, references = 3, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4), element-{F}(V5,V4) | ordinal-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #159: input, references = 3, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V1) | epsilon_transitive-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #160: input, references = 3, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V1) | epsilon_connected-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #161: input, references = 3, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V1) | ordinal-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #162: input, references = 3, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V1) | natural-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #163: input, references = 5, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_succ-{F}(V4,V5), empty-{F}(V5) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #164: input, references = 3, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4) | epsilon_transitive-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #165: input, references = 3, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4) | epsilon_connected-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #166: input, references = 3, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | pppp35-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #167: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp35-{F}(V0) | ordinal-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #168: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp35-{F}(V0) | epsilon_connected-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #169: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp35-{F}(V0) | epsilon_transitive-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #170: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp35-{F}(V0) | empty-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #171: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp35-{F}(V0) | one_to_one-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #172: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp35-{F}(V0) | function-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #173: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp35-{F}(V0) | relation_empty_yielding-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #174: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp35-{F}(V0) | relation-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #175: input, references = 3, size of lhs = 7:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_succ-{F}(V4,V5), ordinal-{F}(V4), empty-{F}(V5) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #176: input, references = 3, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_succ-{F}(V4,V5), ordinal-{F}(V4) | epsilon_transitive-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #177: input, references = 3, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_succ-{F}(V4,V5), ordinal-{F}(V4) | epsilon_connected-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #178: input, references = 3, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_succ-{F}(V4,V5), ordinal-{F}(V4) | ordinal-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #179: input, references = 4, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), empty-{F}(V5) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #180: input, references = 3, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | empty-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #181: input, references = 6, size of lhs = 10:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), ordinal-{F}(V4), in-{F}(V4,V1), element-{F}(V7,V6), V7 == V0 | pppp50-{T}(V0,V1), pppp51-{T}(V7)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #182: input, references = 4, size of lhs = 1:
% 57.75/57.95 pppp50-{F}(V0,V1) | EXISTS V2: pppp39-{T}(V2,V0,V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #183: input, references = 4, size of lhs = 1:
% 57.75/57.95 pppp51-{F}(V0) | EXISTS V1: pppp40-{T}(V0,V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #184: input, references = 4, size of lhs = 4:
% 57.75/57.95 pppp40-{F}(V0,V1), in-{F}(V2,V0), subset-{F}(V1,V2), V2 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #185: input, references = 4, size of lhs = 1:
% 57.75/57.95 pppp40-{F}(V0,V1) | in-{T}(V1,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #186: input, references = 7, size of lhs = 3:
% 57.75/57.95 pppp39-{F}(V0,V1,V2), P_powerset-{F}(V0,V3), P_powerset-{F}(V3,V4) | EXISTS V5: pppp38-{T}(V5,V1,V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #187: input, references = 14, size of lhs = 3:
% 57.75/57.95 pppp39-{F}(V0,V1,V2), P_powerset-{F}(V0,V3), P_powerset-{F}(V3,V4) | in-{T}(V0,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #188: input, references = 6, size of lhs = 10:
% 57.75/57.95 pppp39-{F}(V0,V1,V2), P_powerset-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V7), ordinal-{F}(V5), in-{F}(V5,V0), in-{F}(V5,V2), element-{F}(V8,V7), V8 == V1 | EXISTS V9: pppp36-{T}(V8,V9)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #189: input, references = 6, size of lhs = 3:
% 57.75/57.95 pppp39-{F}(V0,V1,V2), P_powerset-{F}(V0,V3), P_powerset-{F}(V3,V4) | ordinal-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #190: input, references = 6, size of lhs = 2:
% 57.75/57.95 pppp38-{F}(V0,V1,V2), in-{F}(V3,V0) | EXISTS V4: pppp37-{T}(V0,V3,V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #191: input, references = 7, size of lhs = 1:
% 57.75/57.95 pppp38-{F}(V1,V1,V2) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #192: input, references = 7, size of lhs = 1:
% 57.75/57.95 pppp38-{F}(V0,V1,V2) | element-{T}(V0,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #193: input, references = 7, size of lhs = 1:
% 57.75/57.95 pppp37-{F}(V0,V1,V1) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #194: input, references = 6, size of lhs = 1:
% 57.75/57.95 pppp37-{F}(V0,V1,V2) | subset-{T}(V1,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #195: input, references = 6, size of lhs = 1:
% 57.75/57.95 pppp37-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #196: input, references = 6, size of lhs = 4:
% 57.75/57.95 pppp36-{F}(V0,V1), in-{F}(V2,V0), subset-{F}(V1,V2), V2 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #197: input, references = 6, size of lhs = 1:
% 57.75/57.95 pppp36-{F}(V0,V1) | in-{T}(V1,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #198: input, references = 5, size of lhs = 7:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_set_union2-{F}(V4,V5,V6), P_set_union2-{F}(V5,V4,V7), V6 == V7 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #199: input, references = 4, size of lhs = 8:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_succ-{F}(V4,V5), P_singleton-{F}(V4,V6), P_set_union2-{F}(V4,V6,V7), V5 == V7 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #200: input, references = 3, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), #-{F} V4 | EXISTS V5: pppp41-{T}(V4,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #201: input, references = 3, size of lhs = 1:
% 57.75/57.95 pppp41-{F}(V0,V1) | element-{T}(V1,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #202: input, references = 4, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_singleton-{F}(V4,V5), empty-{F}(V5) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #203: input, references = 3, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_set_union2-{F}(V4,V5,V6), empty-{F}(V6) | empty-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #204: input, references = 3, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_set_union2-{F}(V5,V4,V6), empty-{F}(V6) | empty-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #205: input, references = 4, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_set_union2-{F}(V4,V4,V5), V5 == V4 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #206: input, references = 6, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_succ-{F}(V4,V5) | in-{T}(V4,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #207: input, references = 4, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_set_union2-{F}(V4,V0,V5), V5 == V4 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #208: input, references = 11, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5) | element-{T}(V4,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #209: input, references = 4, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), element-{F}(V5,V4) | empty-{T}(V4), in-{T}(V5,V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #210: input, references = 8, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4) | being_limit_ordinal-{T}(V4), pppp52-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #211: input, references = 6, size of lhs = 1:
% 57.75/57.95 pppp52-{F}(V0) | EXISTS V1: pppp42-{T}(V0,V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #212: input, references = 3, size of lhs = 8:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V6), P_succ-{F}(V5,V6), ordinal-{F}(V5), being_limit_ordinal-{F}(V6) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #213: input, references = 4, size of lhs = 3:
% 57.75/57.95 pppp42-{F}(V0,V1), P_succ-{F}(V1,V2), V0 == V2 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #214: input, references = 5, size of lhs = 2:
% 57.75/57.95 pppp42-{F}(V0,V1), P_succ-{F}(V1,V2) | ordinal-{T}(V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #215: input, references = 9, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4), V4 == V0 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #216: input, references = 3, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4), in-{F}(V5,V4) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #217: input, references = 8, size of lhs = 7:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4), empty-{F}(V5), V5 == V4 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #218: input, references = 4, size of lhs = 0:
% 57.75/57.95 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #219: input, references = 4, size of lhs = 0:
% 57.75/57.95 FALSE | EXISTS V0: P_omega-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #220: input, references = 68, size of lhs = 1:
% 57.75/57.95 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #221: input, references = 4, size of lhs = 1:
% 57.75/57.95 #-{F} V0 | EXISTS V1: P_succ-{T}(V0,V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #222: input, references = 8, size of lhs = 2:
% 57.75/57.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #223: input, references = 5, size of lhs = 1:
% 57.75/57.95 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 number of initial rules = 224
% 57.75/57.95
% 57.75/57.95 Simplifiers:
% 57.75/57.95 #224: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #225: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 P_omega-{F}(V0), P_omega-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #226: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #227: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 P_succ-{F}(V0,V1), P_succ-{F}(V0,V3), V1 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #228: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #229: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #230: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #231: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #232: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #233: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V1 == V4 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #234: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #235: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #236: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #237: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V1 == V4 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #238: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #239: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #240: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #241: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #242: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #243: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V1,V2), V0 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #244: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V1 == V4 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #245: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V1,V2), V0 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #246: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V5), V1 == V4 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #247: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V5), V2 == V5 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #248: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V0 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #249: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V1 == V4 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #250: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #251: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #252: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #253: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #254: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #255: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #256: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #257: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #258: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #259: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #260: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #261: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #262: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #263: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp25-{F}(V0), pppp25-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #264: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #265: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #266: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #267: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #268: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp31-{F}(V0,V1), pppp31-{F}(V2,V1), V0 == V2 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #269: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp32-{F}(V0,V1), pppp32-{F}(V2,V1), V0 == V2 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #270: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp33-{F}(V0), pppp33-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #271: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp34-{F}(V0), pppp34-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #272: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp35-{F}(V0), pppp35-{F}(V1), V0 == V1 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #273: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp36-{F}(V0,V1), pppp36-{F}(V0,V3), V1 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #274: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp37-{F}(V0,V1,V2), pppp37-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #275: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp38-{F}(V0,V1,V2), pppp38-{F}(V3,V1,V2), V0 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #276: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp38-{F}(V0,V1,V2), pppp38-{F}(V3,V4,V5), V1 == V4 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #277: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp39-{F}(V0,V1,V2), pppp39-{F}(V3,V1,V2), V0 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #278: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp39-{F}(V0,V1,V2), pppp39-{F}(V3,V4,V5), V1 == V4 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #279: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp39-{F}(V0,V1,V2), pppp39-{F}(V3,V4,V5), V2 == V5 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #280: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp40-{F}(V0,V1), pppp40-{F}(V0,V3), V1 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #281: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp41-{F}(V0,V1), pppp41-{F}(V0,V3), V1 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #282: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp42-{F}(V0,V1), pppp42-{F}(V0,V3), V1 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #283: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp43-{F}(V0,V1,V2), pppp43-{F}(V3,V4,V5), V1 == V4 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #284: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp43-{F}(V0,V1,V2), pppp43-{F}(V3,V4,V5), V2 == V5 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #285: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp45-{F}(V0,V1), pppp45-{F}(V2,V3), V0 == V2 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #286: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp50-{F}(V0,V1), pppp50-{F}(V2,V3), V0 == V2 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #287: unsound, references = 3, size of lhs = 3:
% 57.75/57.95 pppp50-{F}(V0,V1), pppp50-{F}(V2,V3), V1 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 number of simplifiers = 64
% 57.75/57.95
% 57.75/57.95 Learnt:
% 57.75/57.95 #291: exists( #220, #199 ), references = 1, size of lhs = 7:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_succ-{F}(V3,V4), P_singleton-{F}(V3,V5), P_set_union2-{F}(V3,V5,V6), V4 == V6 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #292: exists( #220, #205 ), references = 2, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_set_union2-{F}(V3,V3,V4), V4 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #293: exists( #220, #207 ), references = 2, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_set_union2-{F}(V3,V0,V4), V4 == V3 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #295: exists( #220, #288 ), references = 2, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_succ-{F}(V2,V3), P_singleton-{F}(V2,V4), P_set_union2-{F}(V2,V4,V5), V3 == V5 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #297: exists( #222, #294 ), references = 2, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_succ-{F}(V2,V3), P_singleton-{F}(V2,V4) | P_set_union2-{T}(V2,V4,V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #299: exists( #220, #292 ), references = 2, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_set_union2-{F}(V2,V2,V3), V3 == V2 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #302: exists( #222, #299 ), references = 1, size of lhs = 3:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), #-{F} V2 | P_set_union2-{T}(V2,V2,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #304: exists( #220, #293 ), references = 2, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_set_union2-{F}(V2,V0,V3), V3 == V2 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #311: exists( #222, #304 ), references = 3, size of lhs = 3:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), #-{F} V2 | P_set_union2-{T}(V2,V0,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #322: mergings( V2 == V4, V4 == V3; #318 ), references = 1, size of lhs = 3:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #325: mergings( V2 == V4, V3 == V5; #319 ), references = 1, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_omega-{F}(V2), P_succ-{F}(V3,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #329: mergings( V0 == V2; #326 ), references = 1, size of lhs = 2:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #331: mergings( V2 == V3; #327 ), references = 2, size of lhs = 3:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_succ-{F}(V2,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #334: exists( #222, #198 ), references = 2, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_set_union2-{F}(V4,V5,V6) | P_set_union2-{T}(V5,V4,V6)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #347: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8; #341 ), references = 1, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | pppp21-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #352: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8; #342 ), references = 1, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4) | pppp21-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #367: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8; #361 ), references = 1, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | pppp29-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #372: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8; #362 ), references = 1, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4) | pppp29-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #382: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8; #377 ), references = 1, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | pppp17-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #393: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8; #387 ), references = 1, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | pppp33-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #398: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8; #388 ), references = 1, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4) | pppp33-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #408: mergings( V0 == V6, V1 == V7, V2 == V8, V3 == V9; #401 ), references = 1, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6) | pppp48-{T}(V6)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #413: mergings( V0 == V6, V1 == V7, V2 == V8, V3 == V9; #402 ), references = 1, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), V4 == V0 | pppp48-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #420: mergings( V0 == V6, V1 == V7, V2 == V8, V3 == V9, V4 == V6, V8 == V5; #403 ), references = 1, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), empty-{F}(V2), V0 == V2, P_powerset-{F}(V0,V3), P_powerset-{F}(V3,V4) | pppp48-{T}(V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #429: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8; #424 ), references = 1, size of lhs = 7:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4), ordinal-{F}(V5), P_succ-{F}(V5,V4) | pppp52-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #439: mergings( V0 == V6, V1 == V7, V2 == V8, V3 == V9; #432 ), references = 1, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6) | pppp49-{T}(V6)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #444: mergings( V0 == V6, V1 == V7, V2 == V8, V3 == V9; #433 ), references = 1, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), V4 == V0 | pppp49-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #451: mergings( V0 == V6, V1 == V7, V2 == V8, V3 == V9, V4 == V6, V8 == V5; #434 ), references = 1, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), empty-{F}(V2), V0 == V2, P_powerset-{F}(V0,V3), P_powerset-{F}(V3,V4) | pppp49-{T}(V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #467: mergings( V0 == V7, V1 == V8, V2 == V9, V3 == V10; #461 ), references = 2, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5) | pppp14-{T}(V5,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #472: mergings( V0 == V7, V1 == V8, V2 == V9, V3 == V10; #462 ), references = 1, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4), P_powerset-{F}(V5,V6) | pppp14-{T}(V6,V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #483: mergings( V0 == V6, V1 == V7, V2 == V8, V3 == V9; #476 ), references = 2, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V5), P_powerset-{F}(V6,V5) | in-{T}(V4,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #488: mergings( V0 == V6, V1 == V7, V2 == V8, V3 == V9; #477 ), references = 1, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V5), V5 == V0 | in-{T}(V4,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #494: mergings( V0 == V6, V1 == V7, V2 == V8, V3 == V9, V5 == V6; #478 ), references = 1, size of lhs = 7:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4), V0 == V4, element-{F}(V5,V0) | in-{T}(V5,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #514: mergings( V0 == V7, V1 == V8, V2 == V9, V3 == V10; #508 ), references = 1, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5) | pppp32-{T}(V0,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #519: mergings( V0 == V7, V1 == V8, V2 == V9, V3 == V10; #509 ), references = 1, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), empty-{F}(V4), P_powerset-{F}(V5,V6) | pppp32-{T}(V4,V6)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #529: exists( #221, #213 ), references = 5, size of lhs = 1:
% 57.75/57.95 pppp42-{F}(V0,V1) | P_succ-{T}(V1,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #552: exists( #14, #550 ), references = 2, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp0-{F}(V1,V0), pppp9-{F}(V1,V2,V3) | pppp8-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #561: disj( #8, input ), references = 2, size of lhs = 15:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_succ-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V3,V6), in-{F}(V6,V0), element-{F}(V7,V5), P_empty_set-{F}(V8), P_omega-{F}(V9), P_powerset-{F}(V8,V10), P_powerset-{F}(V10,V11), pppp11-{F}(V12,V6,V13), V7 == V12 | pppp47-{T}(V7)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #583: exists( #10, #581 ), references = 3, size of lhs = 5:
% 57.75/57.95 in-{F}(V0,V1), pppp11-{F}(V0,V1,V2), element-{F}(V3,V2), V3 == V0, pppp9-{F}(V3,V4,V5) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #586: exists( #11, #584 ), references = 1, size of lhs = 5:
% 57.75/57.95 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp10-{F}(V0,V3,V4), in-{F}(V5,V6), pppp11-{F}(V5,V6,V2) | pppp9-{T}(V5,V3,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #627: exists( #14, #625 ), references = 2, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp3-{F}(V1,V0), pppp9-{F}(V1,V2,V3) | pppp8-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #631: exists( #9, #629 ), references = 1, size of lhs = 2:
% 57.75/57.95 pppp47-{F}(V0), pppp9-{F}(V0,V1,V2) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #634: exists( #220, #632 ), references = 2, size of lhs = 15:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_succ-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), in-{F}(V5,V0), element-{F}(V6,V4), P_empty_set-{F}(V7), P_omega-{F}(V8), P_powerset-{F}(V7,V9), P_powerset-{F}(V9,V10), pppp11-{F}(V11,V5,V12), V6 == V11, pppp9-{F}(V6,V13,V14) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #637: exists( #11, #635 ), references = 1, size of lhs = 15:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_succ-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), in-{F}(V5,V0), P_empty_set-{F}(V6), P_omega-{F}(V7), P_powerset-{F}(V6,V8), P_powerset-{F}(V8,V9), P_powerset-{F}(V10,V4), P_powerset-{F}(V11,V10), pppp10-{F}(V11,V12,V13), pppp11-{F}(V14,V5,V15) | pppp9-{T}(V14,V12,V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #683: exists( #34, #681 ), references = 2, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp0-{F}(V1,V0), pppp2-{F}(V1,V2,V3) | pppp1-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #704: exists( #10, #702 ), references = 1, size of lhs = 5:
% 57.75/57.95 in-{F}(V0,V1), pppp11-{F}(V0,V1,V2), element-{F}(V3,V2), V3 == V0, pppp2-{F}(V3,V4,V5) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #707: exists( #6, #705 ), references = 1, size of lhs = 3:
% 57.75/57.95 pppp45-{F}(V0,V1), in-{F}(V2,V3), pppp11-{F}(V2,V3,V1) | pppp2-{T}(V2,V0,V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #711: mergings( V1 == V10; #709 ), references = 4, size of lhs = 12:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_succ-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V3,V6), element-{F}(V7,V5), in-{F}(V8,V6), V7 == V8, pppp11-{F}(V8,V6,V2), pppp11-{F}(V8,V6,V9) | pppp46-{T}(V7)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #736: exists( #7, #734 ), references = 1, size of lhs = 2:
% 57.75/57.95 pppp46-{F}(V0), pppp9-{F}(V0,V1,V2) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #740: exists( #11, #738 ), references = 1, size of lhs = 13:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_succ-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V3,V6), in-{F}(V7,V6), pppp11-{F}(V7,V6,V2), pppp11-{F}(V7,V6,V8), P_powerset-{F}(V9,V5), P_powerset-{F}(V10,V9), pppp10-{F}(V10,V11,V12) | pppp9-{T}(V7,V11,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #765: exists( #211, #759 ), references = 1, size of lhs = 3:
% 57.75/57.95 pppp52-{F}(V0), P_empty_set-{F}(V0), P_omega-{F}(V1) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #766: exists( #211, #761 ), references = 1, size of lhs = 6:
% 57.75/57.95 pppp52-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #772: mergings( V0 == V4, V1 == V5; #767 ), references = 1, size of lhs = 5:
% 57.75/57.95 ordinal-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_omega-{F}(V3) | being_limit_ordinal-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #778: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8; #769 ), references = 1, size of lhs = 6:
% 57.75/57.95 ordinal-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4) | being_limit_ordinal-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #793: exists( #220, #791 ), references = 1, size of lhs = 7:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), in-{F}(V6,V4), pppp10-{F}(V4,V7,V6) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #795: exists( #220, #792 ), references = 1, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), pppp10-{F}(V5,V6,V4) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #843: exists( #190, #841 ), references = 2, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp0-{F}(V1,V0), pppp38-{F}(V1,V2,V3) | pppp37-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #856: exists( #190, #854 ), references = 3, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp3-{F}(V1,V0), pppp38-{F}(V1,V2,V3) | pppp37-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #869: exists( #7, #867 ), references = 1, size of lhs = 2:
% 57.75/57.95 pppp46-{F}(V0), pppp38-{F}(V0,V1,V2) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #873: exists( #186, #871 ), references = 1, size of lhs = 13:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_succ-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V3,V6), in-{F}(V7,V6), pppp11-{F}(V7,V6,V2), pppp11-{F}(V7,V6,V8), P_powerset-{F}(V9,V5), P_powerset-{F}(V10,V9), pppp39-{F}(V10,V11,V12) | pppp38-{T}(V7,V11,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #896: disj( #5, exists( #7, #734 ) ), references = 4, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_succ-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V3,V6), element-{F}(V7,V5), pppp11-{F}(V8,V6,V9), V7 == V8, pppp9-{F}(V7,V10,V11) | pppp45-{T}(V8,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #897: disj( #5, exists( #7, #867 ) ), references = 2, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_succ-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V3,V6), element-{F}(V7,V5), pppp11-{F}(V8,V6,V9), V7 == V8, pppp38-{F}(V7,V10,V11) | pppp45-{T}(V8,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #913: disj( #8, exists( #9, #629 ) ), references = 7, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_succ-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V3,V6), element-{F}(V7,V5), pppp11-{F}(V8,V6,V9), V7 == V8, pppp9-{F}(V7,V10,V11) | in-{T}(V0,V6)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #926: mergings( V14 == V18, V12 == V16, V6 == V17; #922 ), references = 1, size of lhs = 18:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_succ-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), element-{F}(V6,V4), P_empty_set-{F}(V7), P_omega-{F}(V8), P_powerset-{F}(V7,V9), P_powerset-{F}(V9,V10), in-{F}(V11,V5), V6 == V11, V0 == V11, pppp11-{F}(V11,V5,V5), pppp11-{F}(V11,V5,V12), pppp9-{F}(V6,V13,V14), pppp9-{F}(V0,V13,V15) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #931: mergings( V13 == V17, V11 == V15, V5 == V16; #927 ), references = 1, size of lhs = 17:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V1,V4), element-{F}(V5,V3), P_empty_set-{F}(V6), P_omega-{F}(V7), P_powerset-{F}(V6,V8), P_powerset-{F}(V8,V9), in-{F}(V10,V4), V5 == V10, V0 == V10, pppp11-{F}(V10,V4,V4), pppp11-{F}(V10,V4,V11), pppp9-{F}(V5,V12,V13), pppp9-{F}(V0,V12,V14) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #953: exists( #14, #950 ), references = 1, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp36-{F}(V1,V0), pppp9-{F}(V1,V2,V3) | pppp8-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #957: exists( #188, #955 ), references = 2, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V0,V6), pppp39-{F}(V3,V7,V6), element-{F}(V8,V2), V8 == V7, pppp9-{F}(V8,V9,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #960: exists( #11, #958 ), references = 2, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V0,V6), pppp39-{F}(V3,V7,V6), P_powerset-{F}(V8,V2), P_powerset-{F}(V9,V8), pppp10-{F}(V9,V10,V11) | pppp9-{T}(V7,V10,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1014: exists( #14, #1011 ), references = 1, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp7-{F}(V1,V0), pppp9-{F}(V1,V2,V3) | pppp8-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1018: exists( #4, #1016 ), references = 1, size of lhs = 2:
% 57.75/57.95 pppp44-{F}(V0), pppp9-{F}(V0,V1,V2) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1020: disj( #2, exists( #4, #1016 ) ), references = 2, size of lhs = 10:
% 57.75/57.95 ordinal-{F}(V0), being_limit_ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), element-{F}(V4,V2), pppp11-{F}(V5,V3,V6), V0 == V5, V4 == V5, pppp9-{F}(V4,V7,V8) | pppp43-{T}(V0,V5,V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1046: exists( #220, #1044 ), references = 1, size of lhs = 7:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), P_powerset-{F}(V5,V6), pppp6-{F}(V4,V5,V7,V8) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1075: exists( #10, #1073 ), references = 5, size of lhs = 5:
% 57.75/57.95 in-{F}(V0,V1), pppp11-{F}(V0,V1,V2), element-{F}(V3,V2), V3 == V0, pppp38-{F}(V3,V4,V5) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1090: mergings( V12 == V16, V6 == V17; #1087 ), references = 1, size of lhs = 18:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_succ-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), element-{F}(V6,V4), P_empty_set-{F}(V7), P_omega-{F}(V8), P_powerset-{F}(V7,V9), P_powerset-{F}(V9,V10), in-{F}(V11,V5), V6 == V11, V0 == V11, pppp11-{F}(V11,V5,V5), pppp11-{F}(V11,V5,V12), pppp9-{F}(V6,V13,V14), pppp38-{F}(V0,V15,V16) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1094: mergings( V11 == V15, V5 == V16; #1091 ), references = 1, size of lhs = 17:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V1,V4), element-{F}(V5,V3), P_empty_set-{F}(V6), P_omega-{F}(V7), P_powerset-{F}(V6,V8), P_powerset-{F}(V8,V9), in-{F}(V10,V4), V5 == V10, V0 == V10, pppp11-{F}(V10,V4,V4), pppp11-{F}(V10,V4,V11), pppp9-{F}(V5,V12,V13), pppp38-{F}(V0,V14,V15) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1108: exists( #220, #1106 ), references = 1, size of lhs = 10:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), in-{F}(V6,V7), V4 == V6, pppp11-{F}(V6,V7,V8), pppp6-{F}(V9,V4,V10,V8), pppp38-{F}(V4,V11,V12) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1110: exists( #220, #1107 ), references = 1, size of lhs = 9:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), pppp11-{F}(V4,V5,V6), pppp6-{F}(V7,V8,V9,V6), V8 == V4, pppp38-{F}(V8,V10,V11) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1153: exists( #26, #1149 ), references = 2, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp0-{F}(V1,V0), pppp5-{F}(V1,V2,V3) | pppp4-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1154: exists( #26, #1150 ), references = 2, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp36-{F}(V1,V0), pppp5-{F}(V1,V2,V3) | pppp4-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1167: exists( #10, #1165 ), references = 3, size of lhs = 5:
% 57.75/57.95 in-{F}(V0,V1), pppp11-{F}(V0,V1,V2), element-{F}(V3,V2), V3 == V0, pppp5-{F}(V3,V4,V5) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1203: exists( #34, #1201 ), references = 2, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp3-{F}(V1,V0), pppp2-{F}(V1,V2,V3) | pppp1-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1207: exists( #7, #1205 ), references = 1, size of lhs = 2:
% 57.75/57.95 pppp46-{F}(V0), pppp2-{F}(V0,V1,V2) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1211: exists( #6, #1209 ), references = 1, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_succ-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), pppp45-{F}(V6,V5), in-{F}(V3,V7), in-{F}(V8,V7), pppp11-{F}(V8,V7,V2), pppp11-{F}(V8,V7,V9) | pppp2-{T}(V8,V6,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1236: exists( #188, #1234 ), references = 3, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V0,V6), pppp39-{F}(V3,V7,V6), element-{F}(V8,V2), V8 == V7, pppp5-{F}(V8,V9,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1260: exists( #9, #1258 ), references = 3, size of lhs = 2:
% 57.75/57.95 pppp47-{F}(V0), pppp38-{F}(V0,V1,V2) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1277: mergings( V4 == V10, V5 == V11; #1273 ), references = 2, size of lhs = 17:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V1,V4), element-{F}(V5,V3), P_powerset-{F}(V0,V6), P_powerset-{F}(V6,V7), in-{F}(V0,V8), P_powerset-{F}(V8,V9), P_powerset-{F}(V9,V10), pppp39-{F}(V8,V11,V4), element-{F}(V12,V7), V12 == V11, pppp11-{F}(V13,V4,V14), V5 == V13, pppp9-{F}(V12,V15,V16) | pppp47-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1316: exists( #9, #1314 ), references = 2, size of lhs = 2:
% 57.75/57.95 pppp47-{F}(V0), pppp2-{F}(V0,V1,V2) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1320: exists( #6, #1318 ), references = 2, size of lhs = 16:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp45-{F}(V4,V3), in-{F}(V1,V5), P_powerset-{F}(V0,V6), P_powerset-{F}(V6,V7), in-{F}(V0,V8), P_powerset-{F}(V8,V9), P_powerset-{F}(V9,V10), pppp39-{F}(V8,V11,V5), element-{F}(V12,V7), V12 == V11, pppp11-{F}(V13,V5,V14), pppp9-{F}(V12,V15,V16) | pppp2-{T}(V13,V4,V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1343: mergings( V25 == V29, V29 == V31, V22 == V27, V6 == V12; #1338 ), references = 1, size of lhs = 32:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_succ-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), element-{F}(V6,V4), ordinal-{F}(V7), P_powerset-{F}(V7,V1), P_succ-{F}(V7,V8), in-{F}(V8,V5), P_powerset-{F}(V8,V9), P_powerset-{F}(V9,V10), element-{F}(V11,V10), ordinal-{F}(V12), P_succ-{F}(V12,V7), P_powerset-{F}(V12,V13), P_powerset-{F}(V13,V14), in-{F}(V12,V15), P_powerset-{F}(V15,V16), P_powerset-{F}(V16,V17), pppp39-{F}(V15,V18,V5), element-{F}(V19,V14), V19 == V18, pppp11-{F}(V20,V5,V21), V6 == V20, V11 == V20, pppp11-{F}(V20,V5,V22), pppp11-{F}(V20,V5,V23), pppp9-{F}(V6,V24,V25), pppp9-{F}(V11,V24,V26), pppp9-{F}(V19,V24,V27) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1352: mergings( V2 == V7, V3 == V8, V4 == V9, V23 == V27, V27 == V29, V20 == V25, V5 == V10; #1344 ), references = 1, size of lhs = 25:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), in-{F}(V1,V5), element-{F}(V6,V3), ordinal-{F}(V7), P_succ-{F}(V7,V0), P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V9), in-{F}(V7,V10), P_powerset-{F}(V10,V11), P_powerset-{F}(V11,V12), pppp39-{F}(V10,V13,V5), element-{F}(V14,V9), V14 == V13, pppp11-{F}(V15,V5,V16), V4 == V15, V6 == V15, pppp11-{F}(V15,V5,V17), pppp11-{F}(V15,V5,V18), pppp9-{F}(V4,V19,V20), pppp9-{F}(V6,V19,V21), pppp9-{F}(V14,V19,V22) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1371: exists( #22, #1367 ), references = 1, size of lhs = 5:
% 57.75/57.95 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V3,V4), pppp11-{F}(V3,V4,V2), pppp6-{F}(V5,V0,V6,V7) | pppp5-{T}(V3,V6,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1372: exists( #22, #1368 ), references = 3, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V0,V6), pppp39-{F}(V3,V7,V6), P_powerset-{F}(V8,V2), P_powerset-{F}(V9,V8), pppp6-{F}(V10,V9,V11,V12) | pppp5-{T}(V7,V11,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1387: exists( #220, #1385 ), references = 1, size of lhs = 16:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V1,V4), element-{F}(V5,V3), P_powerset-{F}(V0,V6), in-{F}(V0,V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V9), pppp39-{F}(V7,V10,V4), P_powerset-{F}(V11,V6), pppp11-{F}(V12,V4,V13), V5 == V12, pppp9-{F}(V5,V14,V15), pppp6-{F}(V16,V11,V10,V17) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1389: exists( #220, #1386 ), references = 1, size of lhs = 14:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V1,V4), element-{F}(V5,V3), in-{F}(V0,V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V8), pppp39-{F}(V6,V9,V4), pppp11-{F}(V10,V4,V11), V5 == V10, pppp9-{F}(V5,V12,V13), pppp6-{F}(V14,V0,V9,V15) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1427: mergings( V0 == V14, V1 == V15; #1423 ), references = 3, size of lhs = 18:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_succ-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V3,V6), element-{F}(V7,V5), P_empty_set-{F}(V8), P_omega-{F}(V9), P_powerset-{F}(V8,V10), P_powerset-{F}(V10,V11), in-{F}(V12,V6), V7 == V12, V0 == V12, pppp11-{F}(V12,V6,V6), pppp11-{F}(V12,V6,V13), pppp38-{F}(V0,V14,V15) | pppp47-{T}(V7)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1454: exists( #6, #1452 ), references = 2, size of lhs = 17:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_succ-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), pppp45-{F}(V6,V5), in-{F}(V3,V7), P_empty_set-{F}(V8), P_omega-{F}(V9), P_powerset-{F}(V8,V10), P_powerset-{F}(V10,V11), in-{F}(V12,V7), V0 == V12, pppp11-{F}(V12,V7,V7), pppp11-{F}(V12,V7,V13), pppp38-{F}(V0,V14,V15) | pppp2-{T}(V12,V6,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1476: mergings( V24 == V28, V17 == V26, V12 == V6; #1472 ), references = 1, size of lhs = 33:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_succ-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), element-{F}(V6,V4), ordinal-{F}(V7), P_powerset-{F}(V7,V1), P_succ-{F}(V7,V8), in-{F}(V8,V5), P_powerset-{F}(V8,V9), P_powerset-{F}(V9,V10), element-{F}(V11,V10), ordinal-{F}(V12), P_succ-{F}(V12,V7), P_powerset-{F}(V12,V13), P_powerset-{F}(V13,V14), in-{F}(V15,V5), V6 == V15, V12 == V15, V11 == V15, pppp11-{F}(V15,V5,V5), pppp11-{F}(V15,V5,V16), P_empty_set-{F}(V17), P_omega-{F}(V18), P_powerset-{F}(V17,V19), P_powerset-{F}(V19,V20), pppp11-{F}(V15,V5,V21), pppp11-{F}(V15,V5,V22), pppp9-{F}(V6,V23,V24), pppp9-{F}(V11,V23,V25), pppp38-{F}(V12,V26,V27) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1484: mergings( V2 == V7, V3 == V8, V4 == V9, V22 == V26, V15 == V24, V10 == V5; #1477 ), references = 1, size of lhs = 26:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), in-{F}(V1,V5), element-{F}(V6,V3), ordinal-{F}(V7), P_succ-{F}(V7,V0), P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V9), in-{F}(V10,V5), V4 == V10, V7 == V10, V6 == V10, pppp11-{F}(V10,V5,V5), pppp11-{F}(V10,V5,V11), P_empty_set-{F}(V12), P_omega-{F}(V13), P_powerset-{F}(V12,V14), P_powerset-{F}(V14,V15), pppp11-{F}(V10,V5,V16), pppp11-{F}(V10,V5,V17), pppp9-{F}(V4,V18,V19), pppp9-{F}(V6,V18,V20), pppp38-{F}(V7,V21,V22) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1534: exists( #34, #1532 ), references = 1, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp36-{F}(V1,V0), pppp2-{F}(V1,V2,V3) | pppp1-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1538: exists( #188, #1536 ), references = 2, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V0,V6), pppp39-{F}(V3,V7,V6), element-{F}(V8,V2), V8 == V7, pppp2-{F}(V8,V9,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1542: exists( #6, #1540 ), references = 2, size of lhs = 9:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp45-{F}(V3,V2), in-{F}(V0,V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), in-{F}(V0,V7), pppp39-{F}(V4,V8,V7) | pppp2-{T}(V8,V3,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1561: mergings( V19 == V23, V15 == V21, V6 == V12; #1557 ), references = 1, size of lhs = 24:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_succ-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), element-{F}(V6,V4), ordinal-{F}(V7), P_powerset-{F}(V7,V1), P_succ-{F}(V7,V8), in-{F}(V8,V5), P_powerset-{F}(V8,V9), P_powerset-{F}(V9,V10), element-{F}(V11,V10), in-{F}(V7,V12), pppp39-{F}(V12,V13,V5), V6 == V13, V11 == V13, pppp11-{F}(V13,V5,V14), P_powerset-{F}(V12,V15), P_powerset-{F}(V15,V16), pppp11-{F}(V13,V5,V17), pppp9-{F}(V6,V18,V19), pppp9-{F}(V11,V18,V20) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1569: mergings( V2 == V7, V3 == V8, V4 == V9, V17 == V21, V13 == V19, V5 == V10; #1562 ), references = 1, size of lhs = 17:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), in-{F}(V1,V5), element-{F}(V6,V3), in-{F}(V0,V7), pppp39-{F}(V7,V8,V5), V4 == V8, V6 == V8, pppp11-{F}(V8,V5,V9), P_powerset-{F}(V7,V10), P_powerset-{F}(V10,V11), pppp11-{F}(V8,V5,V12), pppp9-{F}(V4,V13,V14), pppp9-{F}(V6,V13,V15) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1581: mergings( V6 == V10, V7 == V11, V10 == V16, V11 == V17, V18 == V22, V14 == V20, V8 == V12; #1573 ), references = 1, size of lhs = 17:
% 57.75/57.95 pppp52-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), in-{F}(V0,V5), pppp39-{F}(V0,V6,V5), pppp11-{F}(V6,V5,V7), P_powerset-{F}(V0,V8), P_powerset-{F}(V8,V9), element-{F}(V10,V9), V10 == V6, element-{F}(V11,V9), V11 == V6, pppp11-{F}(V6,V5,V12), pppp9-{F}(V10,V13,V14), pppp9-{F}(V11,V13,V15) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1589: mergings( V11 == V13, V13 == V17, V4 == V18, V15 == V19, V12 == V14; #1583 ), references = 1, size of lhs = 14:
% 57.75/57.95 pppp52-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), in-{F}(V0,V5), pppp39-{F}(V0,V6,V5), pppp11-{F}(V6,V5,V7), P_powerset-{F}(V0,V8), P_powerset-{F}(V8,V9), pppp11-{F}(V6,V5,V10), P_powerset-{F}(V11,V9), P_powerset-{F}(V12,V11), pppp10-{F}(V12,V13,V14) | pppp9-{T}(V6,V13,V9)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1596: mergings( V5 == V8, V8 == V12, V6 == V13, V10 == V17, V7 == V9; #1590 ), references = 1, size of lhs = 14:
% 57.75/57.95 pppp52-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), in-{F}(V0,V5), pppp39-{F}(V0,V6,V5), pppp11-{F}(V6,V5,V7), P_powerset-{F}(V0,V8), P_powerset-{F}(V8,V9), pppp11-{F}(V6,V5,V10), P_powerset-{F}(V11,V9), P_powerset-{F}(V12,V11), pppp10-{F}(V12,V6,V13) | pppp9-{T}(V6,V6,V9)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1607: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8, V9 == V12, V12 == V16, V10 == V17, V11 == V13; #1598 ), references = 1, size of lhs = 14:
% 57.75/57.95 ordinal-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), in-{F}(V0,V5), pppp39-{F}(V0,V6,V5), pppp11-{F}(V6,V5,V7), P_powerset-{F}(V0,V8), P_powerset-{F}(V8,V9), pppp11-{F}(V6,V5,V10), P_powerset-{F}(V11,V9), P_powerset-{F}(V12,V11), pppp10-{F}(V12,V6,V13) | being_limit_ordinal-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1655: exists( #220, #1653 ), references = 1, size of lhs = 7:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), in-{F}(V6,V4), pppp6-{F}(V7,V4,V8,V6) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1666: exists( #220, #1662 ), references = 1, size of lhs = 10:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), in-{F}(V6,V7), V4 == V6, pppp11-{F}(V6,V7,V8), pppp6-{F}(V9,V4,V10,V8), pppp5-{F}(V4,V11,V12) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1667: exists( #220, #1663 ), references = 1, size of lhs = 16:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), in-{F}(V4,V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V9), in-{F}(V4,V10), pppp39-{F}(V7,V11,V10), P_powerset-{F}(V12,V13), V12 == V11, pppp6-{F}(V14,V12,V15,V6), pppp5-{F}(V12,V16,V17) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1670: exists( #220, #1664 ), references = 1, size of lhs = 9:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), pppp11-{F}(V4,V5,V6), pppp6-{F}(V7,V8,V9,V6), V8 == V4, pppp5-{F}(V8,V10,V11) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1671: exists( #220, #1665 ), references = 1, size of lhs = 15:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), in-{F}(V4,V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V9), in-{F}(V4,V10), pppp39-{F}(V7,V11,V10), pppp6-{F}(V12,V13,V14,V6), V13 == V11, pppp5-{F}(V13,V15,V16) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1711: mergings( V10 == V11, V11 == V7, V8 == V12, V12 == V14; #1706 ), references = 2, size of lhs = 9:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), pppp39-{F}(V3,V6,V7), pppp6-{F}(V3,V0,V6,V7), pppp6-{F}(V8,V0,V6,V7), pppp6-{F}(V9,V2,V6,V7) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1730: mergings( V0 == V3, V8 == V13, V9 == V14; #1726 ), references = 1, size of lhs = 9:
% 57.75/57.95 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), pppp39-{F}(V3,V6,V7), pppp6-{F}(V3,V0,V6,V7), pppp6-{F}(V8,V0,V6,V7), pppp6-{F}(V9,V2,V6,V7), pppp6-{F}(V10,V0,V6,V7) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1734: mergings( V5 == V10, V6 == V11; #1731 ), references = 1, size of lhs = 7:
% 57.75/57.95 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp39-{F}(V0,V3,V4), pppp6-{F}(V0,V5,V3,V4), pppp6-{F}(V6,V5,V3,V4), pppp6-{F}(V7,V5,V3,V4), pppp6-{F}(V8,V5,V3,V4) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1736: exists( #3, #1731 ), references = 1, size of lhs = 4:
% 57.75/57.95 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp43-{F}(V0,V3,V4), pppp39-{F}(V0,V3,V4) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1742: mergings( V7 == V9, V4 == V10; #1739 ), references = 1, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), being_limit_ordinal-{F}(V0), in-{F}(V0,V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), pppp39-{F}(V0,V4,V1), V0 == V4, pppp11-{F}(V4,V1,V5), P_powerset-{F}(V6,V3), P_powerset-{F}(V7,V6), pppp10-{F}(V7,V8,V9) | pppp9-{T}(V4,V8,V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1769: mergings( V4 == V7, V5 == V8; #1766 ), references = 2, size of lhs = 10:
% 57.75/57.95 ordinal-{F}(V0), being_limit_ordinal-{F}(V0), in-{F}(V0,V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), pppp39-{F}(V0,V5,V1), V0 == V5, V4 == V5, pppp11-{F}(V5,V1,V6) | pppp44-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1813: exists( #190, #1811 ), references = 1, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp7-{F}(V1,V0), pppp38-{F}(V1,V2,V3) | pppp37-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1817: exists( #4, #1815 ), references = 2, size of lhs = 2:
% 57.75/57.95 pppp44-{F}(V0), pppp38-{F}(V0,V1,V2) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1827: mergings( V9 == V1, V7 == V2, V6 == V0, V8 == V3; #1822 ), references = 2, size of lhs = 8:
% 57.75/57.95 ordinal-{F}(V0), being_limit_ordinal-{F}(V0), in-{F}(V0,V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), pppp39-{F}(V0,V4,V1), V0 == V4, pppp11-{F}(V4,V1,V5) | pppp38-{T}(V4,V4,V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1833: mergings( V5 == V12, V4 == V11, V6 == V10; #1829 ), references = 3, size of lhs = 11:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4), in-{F}(V4,V5), P_powerset-{F}(V4,V6), P_powerset-{F}(V6,V7), pppp39-{F}(V4,V8,V5), V4 == V8, pppp11-{F}(V8,V5,V9) | pppp52-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1892: mergings( V14 == V16; #1890 ), references = 1, size of lhs = 18:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_succ-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), element-{F}(V6,V4), P_empty_set-{F}(V7), P_omega-{F}(V8), P_powerset-{F}(V7,V9), P_powerset-{F}(V9,V10), in-{F}(V11,V5), V6 == V11, V0 == V11, pppp11-{F}(V11,V5,V5), pppp11-{F}(V11,V5,V12), pppp38-{F}(V0,V13,V14), pppp38-{F}(V6,V13,V15) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1895: mergings( V13 == V15; #1893 ), references = 1, size of lhs = 17:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V1,V4), element-{F}(V5,V3), P_empty_set-{F}(V6), P_omega-{F}(V7), P_powerset-{F}(V6,V8), P_powerset-{F}(V8,V9), in-{F}(V10,V4), V5 == V10, V0 == V10, pppp11-{F}(V10,V4,V4), pppp11-{F}(V10,V4,V11), pppp38-{F}(V0,V12,V13), pppp38-{F}(V5,V12,V14) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1914: exists( #220, #1910 ), references = 1, size of lhs = 10:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), in-{F}(V6,V7), V4 == V6, pppp11-{F}(V6,V7,V8), pppp6-{F}(V9,V4,V10,V8), pppp9-{F}(V4,V11,V12) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1915: exists( #220, #1911 ), references = 1, size of lhs = 16:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), in-{F}(V4,V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V9), in-{F}(V4,V10), pppp39-{F}(V7,V11,V10), P_powerset-{F}(V12,V13), V12 == V11, pppp6-{F}(V14,V12,V15,V6), pppp9-{F}(V12,V16,V17) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1932: mergings( V4 == V10, V5 == V11; #1928 ), references = 1, size of lhs = 17:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V1,V4), element-{F}(V5,V3), P_powerset-{F}(V0,V6), P_powerset-{F}(V6,V7), in-{F}(V0,V8), P_powerset-{F}(V8,V9), P_powerset-{F}(V9,V10), pppp39-{F}(V8,V11,V4), element-{F}(V12,V7), V12 == V11, pppp11-{F}(V13,V4,V14), V5 == V13, pppp5-{F}(V12,V15,V16) | pppp47-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1942: mergings( V4 == V10, V5 == V11; #1939 ), references = 2, size of lhs = 17:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V1,V4), element-{F}(V5,V3), P_powerset-{F}(V0,V6), P_powerset-{F}(V6,V7), in-{F}(V0,V8), P_powerset-{F}(V8,V9), P_powerset-{F}(V9,V10), pppp39-{F}(V8,V11,V4), element-{F}(V12,V7), V12 == V11, pppp11-{F}(V13,V4,V14), V5 == V13, pppp2-{F}(V12,V15,V16) | pppp47-{T}(V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1954: exists( #6, #1952 ), references = 1, size of lhs = 16:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V1,V4), element-{F}(V5,V3), P_powerset-{F}(V0,V6), P_powerset-{F}(V6,V7), pppp45-{F}(V8,V7), in-{F}(V0,V9), P_powerset-{F}(V9,V10), P_powerset-{F}(V10,V11), pppp39-{F}(V9,V12,V4), pppp11-{F}(V13,V4,V14), V5 == V13, pppp38-{F}(V5,V15,V16) | pppp2-{T}(V12,V8,V7)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1961: mergings( V15 == V21, V6 == V12, V19 == V23; #1957 ), references = 1, size of lhs = 24:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_succ-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), element-{F}(V6,V4), ordinal-{F}(V7), P_powerset-{F}(V7,V1), P_succ-{F}(V7,V8), in-{F}(V8,V5), P_powerset-{F}(V8,V9), P_powerset-{F}(V9,V10), element-{F}(V11,V10), in-{F}(V7,V12), pppp39-{F}(V12,V13,V5), V6 == V13, V11 == V13, pppp11-{F}(V13,V5,V14), P_powerset-{F}(V12,V15), P_powerset-{F}(V15,V16), pppp11-{F}(V13,V5,V17), pppp38-{F}(V6,V18,V19), pppp38-{F}(V11,V18,V20) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1969: mergings( V2 == V7, V3 == V8, V4 == V9, V13 == V19, V5 == V10, V17 == V21; #1962 ), references = 1, size of lhs = 17:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), in-{F}(V1,V5), element-{F}(V6,V3), in-{F}(V0,V7), pppp39-{F}(V7,V8,V5), V4 == V8, V6 == V8, pppp11-{F}(V8,V5,V9), P_powerset-{F}(V7,V10), P_powerset-{F}(V10,V11), pppp11-{F}(V8,V5,V12), pppp38-{F}(V4,V13,V14), pppp38-{F}(V6,V13,V15) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1981: mergings( V7 == V10, V8 == V11, V14 == V18, V9 == V12, V18 == V1, V12 == V2, V13 == V0, V16 == V3, V17 == V4; #1971 ), references = 2, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V1,V4), in-{F}(V0,V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V3), pppp39-{F}(V5,V7,V4), pppp11-{F}(V7,V4,V8), pppp11-{F}(V7,V4,V9) | pppp38-{T}(V7,V7,V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #1991: mergings( V1 == V5, V2 == V6, V9 == V16, V4 == V7, V7 == V15, V8 == V14, V11 == V13, V12 == V3; #1982 ), references = 1, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V1,V4), in-{F}(V0,V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V3), pppp39-{F}(V5,V7,V4), pppp11-{F}(V7,V4,V8), pppp11-{F}(V7,V4,V9) | pppp38-{T}(V7,V7,V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2000: mergings( V6 == V9; #1998 ), references = 3, size of lhs = 11:
% 57.75/57.95 pppp52-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), in-{F}(V0,V5), P_powerset-{F}(V0,V6), P_powerset-{F}(V6,V7), pppp39-{F}(V0,V8,V5), pppp11-{F}(V8,V5,V9), pppp11-{F}(V8,V5,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2008: mergings( V7 == V9; #2005 ), references = 2, size of lhs = 9:
% 57.75/57.95 pppp52-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V0,V5), pppp39-{F}(V0,V6,V7), pppp11-{F}(V6,V7,V8), pppp11-{F}(V6,V7,V9) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2015: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8, V10 == V12; #2009 ), references = 1, size of lhs = 9:
% 57.75/57.95 ordinal-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V0,V5), pppp39-{F}(V0,V6,V7), pppp11-{F}(V6,V7,V8), pppp11-{F}(V6,V7,V9) | being_limit_ordinal-{T}(V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2020: exists( #220, #2018 ), references = 1, size of lhs = 10:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), P_powerset-{F}(V3,V4), in-{F}(V0,V5), pppp39-{F}(V3,V6,V5), P_powerset-{F}(V7,V2), P_powerset-{F}(V8,V7), pppp10-{F}(V8,V6,V9) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2031: exists( #220, #2029 ), references = 1, size of lhs = 7:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), in-{F}(V6,V4), pppp39-{F}(V4,V7,V6) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2046: mergings( V3 == V5; #2042 ), references = 1, size of lhs = 6:
% 57.75/57.95 ordinal-{F}(V0), being_limit_ordinal-{F}(V0), P_powerset-{F}(V0,V1), pppp39-{F}(V0,V2,V3), V0 == V2, pppp11-{F}(V2,V3,V4) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2053: mergings( V2 == V7, V3 == V8, V4 == V9, V5 == V10, V13 == V15, V11 == V15; #2044 ), references = 1, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V0,V5), pppp39-{F}(V0,V6,V7), V0 == V6, pppp11-{F}(V6,V7,V8), pppp11-{F}(V6,V7,V9), pppp11-{F}(V6,V7,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2062: mergings( V2 == V7, V3 == V8, V4 == V9, V5 == V10, V0 == V11, V14 == V16, V13 == V17, V12 == V16; #2043 ), references = 1, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V0,V5), pppp39-{F}(V0,V6,V7), V0 == V6, pppp11-{F}(V6,V7,V8), pppp11-{F}(V6,V7,V9), pppp11-{F}(V6,V7,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2073: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9, V12 == V14, V10 == V14; #2064 ), references = 2, size of lhs = 10:
% 57.75/57.95 ordinal-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), pppp39-{F}(V0,V5,V6), V0 == V5, pppp11-{F}(V5,V6,V7), pppp11-{F}(V5,V6,V8), pppp11-{F}(V5,V6,V9) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2081: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9, V12 == V14, V11 == V15, V10 == V14; #2065 ), references = 2, size of lhs = 10:
% 57.75/57.95 ordinal-{F}(V0), P_empty_set-{F}(V1), P_omega-{F}(V2), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), pppp39-{F}(V0,V5,V6), V0 == V5, pppp11-{F}(V5,V6,V7), pppp11-{F}(V5,V6,V8), pppp11-{F}(V5,V6,V9) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2090: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9, V12 == V17, V11 == V16, V10 == V15, V15 == V17; #2066 ), references = 2, size of lhs = 10:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4), pppp39-{F}(V4,V5,V6), V4 == V5, pppp11-{F}(V5,V6,V7), pppp11-{F}(V5,V6,V8), pppp11-{F}(V5,V6,V9) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2167: mergings( V7 == V9, V8 == V10; #2162 ), references = 1, size of lhs = 10:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), pppp39-{F}(V4,V6,V7), V4 == V6, pppp11-{F}(V6,V7,V8), pppp11-{F}(V6,V7,V9), pppp11-{F}(V6,V7,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2170: mergings( V7 == V9, V8 == V10; #2163 ), references = 1, size of lhs = 10:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), pppp39-{F}(V4,V6,V7), V4 == V6, pppp11-{F}(V6,V7,V8), pppp11-{F}(V6,V7,V9), pppp11-{F}(V6,V7,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2173: mergings( V7 == V9, V8 == V10; #2164 ), references = 1, size of lhs = 10:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V5), pppp39-{F}(V4,V6,V7), V4 == V6, pppp11-{F}(V6,V7,V8), pppp11-{F}(V6,V7,V9), pppp11-{F}(V6,V7,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2179: mergings( V6 == V8, V7 == V9; #2174 ), references = 1, size of lhs = 9:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), pppp39-{F}(V4,V5,V6), V4 == V5, pppp11-{F}(V5,V6,V7), pppp11-{F}(V5,V6,V8), pppp11-{F}(V5,V6,V9) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2182: mergings( V6 == V8, V7 == V9; #2175 ), references = 1, size of lhs = 9:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), pppp39-{F}(V4,V5,V6), V4 == V5, pppp11-{F}(V5,V6,V7), pppp11-{F}(V5,V6,V8), pppp11-{F}(V5,V6,V9) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2185: mergings( V6 == V8, V7 == V9; #2176 ), references = 1, size of lhs = 9:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), pppp39-{F}(V4,V5,V6), V4 == V5, pppp11-{F}(V5,V6,V7), pppp11-{F}(V5,V6,V8), pppp11-{F}(V5,V6,V9) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2189: exists( #182, #2174 ), references = 7, size of lhs = 8:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), pppp50-{F}(V4,V5), pppp11-{F}(V4,V5,V6), pppp11-{F}(V4,V5,V7), pppp11-{F}(V4,V5,V8) | pppp39-{T}(V4,V4,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2190: exists( #182, #2175 ), references = 1, size of lhs = 8:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), pppp50-{F}(V4,V5), pppp11-{F}(V4,V5,V6), pppp11-{F}(V4,V5,V7), pppp11-{F}(V4,V5,V8) | pppp39-{T}(V4,V4,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2191: exists( #182, #2176 ), references = 1, size of lhs = 8:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), pppp50-{F}(V4,V5), pppp11-{F}(V4,V5,V6), pppp11-{F}(V4,V5,V7), pppp11-{F}(V4,V5,V8) | pppp39-{T}(V4,V4,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2213: exists( #186, #2211 ), references = 1, size of lhs = 5:
% 57.75/57.95 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp39-{F}(V0,V3,V4), in-{F}(V5,V6), pppp11-{F}(V5,V6,V2) | pppp38-{T}(V5,V3,V2)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2224: mergings( V0 == V8, V1 == V9, V2 == V10, V3 == V11, V10 == V15, V11 == V16, V9 == V17; #2216 ), references = 2, size of lhs = 15:
% 57.75/57.95 ordinal-{F}(V0), in-{F}(V0,V1), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), P_empty_set-{F}(V5), V4 == V5, in-{F}(V5,V1), pppp11-{F}(V5,V1,V6), pppp11-{F}(V5,V1,V7), pppp11-{F}(V5,V1,V8), P_powerset-{F}(V5,V9), P_powerset-{F}(V9,V10), pppp11-{F}(V5,V1,V10) | pppp51-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2238: mergings( V0 == V3, V3 == V7, V2 == V4, V4 == V8; #2231 ), references = 1, size of lhs = 5:
% 57.75/57.95 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_omega-{F}(V3), P_succ-{F}(V0,V4) | P_singleton-{T}(V0,V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2280: exists( #14, #2278 ), references = 2, size of lhs = 3:
% 57.75/57.95 in-{F}(V0,V1), pppp40-{F}(V1,V0), pppp9-{F}(V1,V2,V3) | pppp8-{T}(V1,V0,V0)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2285: exists( #183, #2283 ), references = 2, size of lhs = 2:
% 57.75/57.95 pppp51-{F}(V0), pppp9-{F}(V0,V1,V2) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2291: exists( #11, #2289 ), references = 1, size of lhs = 16:
% 57.75/57.95 ordinal-{F}(V0), in-{F}(V0,V1), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_empty_set-{F}(V4), in-{F}(V4,V1), pppp11-{F}(V4,V1,V5), pppp11-{F}(V4,V1,V6), pppp11-{F}(V4,V1,V7), P_powerset-{F}(V4,V8), P_powerset-{F}(V8,V9), pppp11-{F}(V4,V1,V9), P_powerset-{F}(V10,V3), P_powerset-{F}(V11,V10), pppp10-{F}(V11,V12,V13) | pppp9-{T}(V4,V12,V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2294: exists( #220, #2292 ), references = 2, size of lhs = 14:
% 57.75/57.95 ordinal-{F}(V0), in-{F}(V0,V1), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_empty_set-{F}(V3), in-{F}(V3,V1), pppp11-{F}(V3,V1,V4), pppp11-{F}(V3,V1,V5), pppp11-{F}(V3,V1,V6), P_powerset-{F}(V3,V7), P_powerset-{F}(V7,V8), pppp11-{F}(V3,V1,V8), P_powerset-{F}(V9,V2), pppp10-{F}(V9,V3,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2296: exists( #220, #2293 ), references = 3, size of lhs = 12:
% 57.75/57.95 ordinal-{F}(V0), in-{F}(V0,V1), P_omega-{F}(V1), P_empty_set-{F}(V2), in-{F}(V2,V1), pppp11-{F}(V2,V1,V3), pppp11-{F}(V2,V1,V4), pppp11-{F}(V2,V1,V5), P_powerset-{F}(V2,V6), P_powerset-{F}(V6,V7), pppp11-{F}(V2,V1,V7), pppp10-{F}(V0,V2,V8) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2326: mergings( V4 == V5, V3 == V11; #2322 ), references = 1, size of lhs = 12:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_omega-{F}(V2), P_empty_set-{F}(V3), in-{F}(V3,V2), pppp10-{F}(V0,V3,V2), pppp11-{F}(V3,V2,V4), pppp11-{F}(V3,V2,V5), pppp11-{F}(V3,V2,V6), P_powerset-{F}(V3,V7), P_powerset-{F}(V7,V8), pppp11-{F}(V3,V2,V8) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2331: mergings( V0 == V5, V4 == V6, V3 == V13, V2 == V12; #2323 ), references = 1, size of lhs = 12:
% 57.75/57.95 ordinal-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), in-{F}(V2,V1), pppp10-{F}(V0,V2,V1), pppp11-{F}(V2,V1,V3), pppp11-{F}(V2,V1,V4), pppp11-{F}(V2,V1,V5), P_powerset-{F}(V2,V6), P_powerset-{F}(V6,V7), pppp11-{F}(V2,V1,V7), P_powerset-{F}(V0,V8) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2336: mergings( V3 == V4, V2 == V10; #2332 ), references = 2, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), in-{F}(V2,V1), pppp10-{F}(V0,V2,V1), pppp11-{F}(V2,V1,V3), pppp11-{F}(V2,V1,V4), pppp11-{F}(V2,V1,V5), P_powerset-{F}(V2,V6), P_powerset-{F}(V6,V7), pppp11-{F}(V2,V1,V7) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2339: mergings( V3 == V4, V2 == V10; #2333 ), references = 2, size of lhs = 11:
% 57.75/57.95 ordinal-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), in-{F}(V2,V1), pppp10-{F}(V0,V2,V1), pppp11-{F}(V2,V1,V3), pppp11-{F}(V2,V1,V4), pppp11-{F}(V2,V1,V5), P_powerset-{F}(V2,V6), P_powerset-{F}(V6,V7), pppp11-{F}(V2,V1,V7) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2444: mergings( V3 == V10, V2 == V11; #2439 ), references = 1, size of lhs = 11:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V1,V0), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), P_powerset-{F}(V1,V5), P_powerset-{F}(V5,V6), pppp11-{F}(V1,V0,V6), pppp10-{F}(V7,V1,V0), P_powerset-{F}(V7,V8) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2447: mergings( V3 == V10, V2 == V11; #2440 ), references = 1, size of lhs = 11:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V1,V0), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), P_powerset-{F}(V1,V5), P_powerset-{F}(V5,V6), pppp11-{F}(V1,V0,V6), pppp10-{F}(V7,V1,V0), P_powerset-{F}(V7,V8) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2452: mergings( V10 == V3, V3 == V12, V2 == V11, V11 == V13; #2441 ), references = 1, size of lhs = 11:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V1,V0), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), P_powerset-{F}(V1,V5), P_powerset-{F}(V5,V6), pppp11-{F}(V1,V0,V6), pppp10-{F}(V7,V1,V0), P_powerset-{F}(V7,V8) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2458: mergings( V3 == V9, V2 == V10; #2453 ), references = 2, size of lhs = 10:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V1,V0), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), P_powerset-{F}(V1,V5), P_powerset-{F}(V5,V6), pppp11-{F}(V1,V0,V6), pppp10-{F}(V7,V1,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2461: mergings( V3 == V9, V2 == V10; #2454 ), references = 2, size of lhs = 10:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V1,V0), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), P_powerset-{F}(V1,V5), P_powerset-{F}(V5,V6), pppp11-{F}(V1,V0,V6), pppp10-{F}(V7,V1,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2466: mergings( V9 == V3, V3 == V11, V2 == V10, V10 == V12; #2455 ), references = 2, size of lhs = 10:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V1,V0), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), P_powerset-{F}(V1,V5), P_powerset-{F}(V5,V6), pppp11-{F}(V1,V0,V6), pppp10-{F}(V7,V1,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2470: exists( #1, #2453 ), references = 3, size of lhs = 10:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V1,V0), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), pppp11-{F}(V1,V0,V5), P_powerset-{F}(V1,V6), P_powerset-{F}(V6,V7), pppp11-{F}(V1,V0,V7) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2471: exists( #1, #2454 ), references = 2, size of lhs = 10:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V1,V0), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), pppp11-{F}(V1,V0,V5), P_powerset-{F}(V1,V6), P_powerset-{F}(V6,V7), pppp11-{F}(V1,V0,V7) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2472: exists( #1, #2455 ), references = 2, size of lhs = 10:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), in-{F}(V1,V0), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), pppp11-{F}(V1,V0,V5), P_powerset-{F}(V1,V6), P_powerset-{F}(V6,V7), pppp11-{F}(V1,V0,V7) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2489: exists( #220, #198 ), references = 3, size of lhs = 6:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_set_union2-{F}(V3,V4,V5), P_set_union2-{F}(V4,V3,V6), V5 == V6 | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2492: exists( #222, #2489 ), references = 1, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_set_union2-{F}(V3,V4,V5) | P_set_union2-{T}(V4,V3,V5)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2514: mergings( V3 == V7, V2 == V4, V4 == V5; #2508 ), references = 1, size of lhs = 5:
% 57.75/57.95 P_omega-{F}(V0), P_powerset-{F}(V1,V0), P_empty_set-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2520: mergings( V2 == V3, V3 == V4; #2515 ), references = 1, size of lhs = 4:
% 57.75/57.95 P_omega-{F}(V0), P_powerset-{F}(V1,V0), P_empty_set-{F}(V2), P_powerset-{F}(V3,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2526: mergings( V2 == V4, V3 == V5; #2523 ), references = 1, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_omega-{F}(V2), P_powerset-{F}(V3,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2529: mergings( V2 == V3; #2527 ), references = 1, size of lhs = 3:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V2,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2538: mergings( V0 == V3, V3 == V5, V2 == V4, V4 == V6; #2533 ), references = 1, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_succ-{F}(V0,V3) | P_singleton-{T}(V0,V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2543: mergings( V2 == V4, V3 == V5; #2540 ), references = 1, size of lhs = 4:
% 57.75/57.95 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_omega-{F}(V2), P_singleton-{F}(V3,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2546: mergings( V2 == V3; #2544 ), references = 1, size of lhs = 3:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_singleton-{F}(V2,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2552: mergings( V2 == V5, V3 == V6; #2549 ), references = 1, size of lhs = 4:
% 57.75/57.95 P_succ-{F}(V0,V0), P_empty_set-{F}(V1), P_powerset-{F}(V1,V2), P_omega-{F}(V3) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2555: mergings( V2 == V4; #2553 ), references = 1, size of lhs = 3:
% 57.75/57.95 P_succ-{F}(V0,V0), P_empty_set-{F}(V1), P_omega-{F}(V2) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2596: disj( #181, exists( #183, #2283 ) ), references = 4, size of lhs = 11:
% 57.75/57.95 P_empty_set-{F}(V0), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4), in-{F}(V4,V1), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), element-{F}(V7,V6), V7 == V0, pppp9-{F}(V7,V8,V9) | pppp50-{T}(V0,V1)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2632: mergings( V9 == V13, V7 == V10, V11 == V14, V12 == V15, V14 == V19, V15 == V20, V19 == V24, V20 == V25, V13 == V1, V10 == V2, V26 == V0; #2618 ), references = 1, size of lhs = 18:
% 57.75/57.95 ordinal-{F}(V0), in-{F}(V0,V1), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_empty_set-{F}(V4), pppp11-{F}(V4,V1,V5), pppp11-{F}(V4,V1,V6), pppp11-{F}(V4,V1,V7), pppp11-{F}(V4,V1,V8), pppp11-{F}(V4,V1,V9), pppp11-{F}(V4,V1,V10), P_powerset-{F}(V4,V11), P_powerset-{F}(V11,V12), pppp11-{F}(V4,V1,V12), pppp10-{F}(V13,V4,V1), P_powerset-{F}(V13,V14), P_powerset-{F}(V14,V3) | pppp9-{T}(V4,V4,V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2644: mergings( V9 == V13, V7 == V10, V11 == V14, V12 == V15, V14 == V19, V15 == V20, V19 == V24, V20 == V25, V13 == V1, V10 == V2, V26 == V0; #2619 ), references = 1, size of lhs = 18:
% 57.75/57.95 ordinal-{F}(V0), in-{F}(V0,V1), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_empty_set-{F}(V4), pppp11-{F}(V4,V1,V5), pppp11-{F}(V4,V1,V6), pppp11-{F}(V4,V1,V7), pppp11-{F}(V4,V1,V8), pppp11-{F}(V4,V1,V9), pppp11-{F}(V4,V1,V10), P_powerset-{F}(V4,V11), P_powerset-{F}(V11,V12), pppp11-{F}(V4,V1,V12), pppp10-{F}(V13,V4,V1), P_powerset-{F}(V13,V14), P_powerset-{F}(V14,V3) | pppp9-{T}(V4,V4,V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2656: mergings( V9 == V13, V7 == V10, V11 == V14, V12 == V15, V14 == V19, V15 == V20, V19 == V24, V20 == V25, V13 == V1, V10 == V2, V26 == V0; #2620 ), references = 1, size of lhs = 18:
% 57.75/57.95 ordinal-{F}(V0), in-{F}(V0,V1), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_empty_set-{F}(V4), pppp11-{F}(V4,V1,V5), pppp11-{F}(V4,V1,V6), pppp11-{F}(V4,V1,V7), pppp11-{F}(V4,V1,V8), pppp11-{F}(V4,V1,V9), pppp11-{F}(V4,V1,V10), P_powerset-{F}(V4,V11), P_powerset-{F}(V11,V12), pppp11-{F}(V4,V1,V12), pppp10-{F}(V13,V4,V1), P_powerset-{F}(V13,V14), P_powerset-{F}(V14,V3) | pppp9-{T}(V4,V4,V3)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2669: mergings( V4 == V8, V3 == V5, V6 == V9, V7 == V10, V9 == V14, V10 == V15, V14 == V19, V15 == V20, V5 == V23, V21 == V22; #2658 ), references = 2, size of lhs = 16:
% 57.75/57.95 ordinal-{F}(V0), in-{F}(V0,V1), P_omega-{F}(V1), P_powerset-{F}(V0,V2), P_empty_set-{F}(V3), pppp11-{F}(V3,V1,V4), pppp11-{F}(V3,V1,V5), pppp11-{F}(V3,V1,V6), pppp11-{F}(V3,V1,V7), pppp11-{F}(V3,V1,V8), pppp11-{F}(V3,V1,V9), P_powerset-{F}(V3,V10), P_powerset-{F}(V10,V11), pppp11-{F}(V3,V1,V11), P_powerset-{F}(V12,V2), pppp10-{F}(V12,V3,V1) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2681: mergings( V3 == V7, V2 == V4, V5 == V8, V6 == V9, V8 == V13, V9 == V14, V13 == V18, V14 == V19, V4 == V21, V20 == V0; #2670 ), references = 3, size of lhs = 14:
% 57.75/57.95 ordinal-{F}(V0), in-{F}(V0,V1), P_omega-{F}(V1), P_empty_set-{F}(V2), pppp10-{F}(V0,V2,V1), pppp11-{F}(V2,V1,V3), pppp11-{F}(V2,V1,V4), pppp11-{F}(V2,V1,V5), pppp11-{F}(V2,V1,V6), pppp11-{F}(V2,V1,V7), pppp11-{F}(V2,V1,V8), P_powerset-{F}(V2,V9), P_powerset-{F}(V9,V10), pppp11-{F}(V2,V1,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2695: mergings( V4 == V5; #2692 ), references = 1, size of lhs = 14:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_omega-{F}(V2), P_empty_set-{F}(V3), pppp10-{F}(V0,V3,V2), pppp11-{F}(V3,V2,V4), pppp11-{F}(V3,V2,V5), pppp11-{F}(V3,V2,V6), pppp11-{F}(V3,V2,V7), pppp11-{F}(V3,V2,V8), pppp11-{F}(V3,V2,V9), P_powerset-{F}(V3,V10), P_powerset-{F}(V10,V11), pppp11-{F}(V3,V2,V11) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2699: mergings( V0 == V5, V4 == V6, V2 == V15; #2693 ), references = 1, size of lhs = 14:
% 57.75/57.95 ordinal-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), pppp10-{F}(V0,V2,V1), pppp11-{F}(V2,V1,V3), pppp11-{F}(V2,V1,V4), pppp11-{F}(V2,V1,V5), pppp11-{F}(V2,V1,V6), pppp11-{F}(V2,V1,V7), pppp11-{F}(V2,V1,V8), P_powerset-{F}(V2,V9), P_powerset-{F}(V9,V10), pppp11-{F}(V2,V1,V10), P_powerset-{F}(V0,V11) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2703: mergings( V3 == V4; #2700 ), references = 2, size of lhs = 13:
% 57.75/57.95 ordinal-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), pppp10-{F}(V0,V2,V1), pppp11-{F}(V2,V1,V3), pppp11-{F}(V2,V1,V4), pppp11-{F}(V2,V1,V5), pppp11-{F}(V2,V1,V6), pppp11-{F}(V2,V1,V7), pppp11-{F}(V2,V1,V8), P_powerset-{F}(V2,V9), P_powerset-{F}(V9,V10), pppp11-{F}(V2,V1,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2705: mergings( V3 == V4; #2701 ), references = 2, size of lhs = 13:
% 57.75/57.95 ordinal-{F}(V0), P_omega-{F}(V1), P_empty_set-{F}(V2), pppp10-{F}(V0,V2,V1), pppp11-{F}(V2,V1,V3), pppp11-{F}(V2,V1,V4), pppp11-{F}(V2,V1,V5), pppp11-{F}(V2,V1,V6), pppp11-{F}(V2,V1,V7), pppp11-{F}(V2,V1,V8), P_powerset-{F}(V2,V9), P_powerset-{F}(V9,V10), pppp11-{F}(V2,V1,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2766: mergings( V8 == V0, V1 == V9, V10 == V2, V11 == V3, V2 == V15, V3 == V16, V15 == V21, V16 == V22; #2755 ), references = 1, size of lhs = 18:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), P_omega-{F}(V3), element-{F}(V4,V2), P_empty_set-{F}(V5), V4 == V5, pppp11-{F}(V5,V3,V6), pppp11-{F}(V5,V3,V7), pppp11-{F}(V5,V3,V8), pppp11-{F}(V5,V3,V9), pppp11-{F}(V5,V3,V10), pppp11-{F}(V5,V3,V11), pppp11-{F}(V5,V3,V12), P_powerset-{F}(V5,V13), P_powerset-{F}(V13,V14), pppp11-{F}(V5,V3,V14) | pppp51-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2775: mergings( V8 == V0, V1 == V9, V10 == V2, V11 == V3, V2 == V15, V3 == V16, V15 == V21, V16 == V22; #2756 ), references = 1, size of lhs = 18:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), P_omega-{F}(V3), element-{F}(V4,V2), P_empty_set-{F}(V5), V4 == V5, pppp11-{F}(V5,V3,V6), pppp11-{F}(V5,V3,V7), pppp11-{F}(V5,V3,V8), pppp11-{F}(V5,V3,V9), pppp11-{F}(V5,V3,V10), pppp11-{F}(V5,V3,V11), pppp11-{F}(V5,V3,V12), P_powerset-{F}(V5,V13), P_powerset-{F}(V13,V14), pppp11-{F}(V5,V3,V14) | pppp51-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2784: mergings( V8 == V0, V1 == V9, V10 == V2, V11 == V3, V2 == V15, V3 == V16, V15 == V21, V16 == V22; #2757 ), references = 1, size of lhs = 18:
% 57.75/57.95 ordinal-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), P_omega-{F}(V3), element-{F}(V4,V2), P_empty_set-{F}(V5), V4 == V5, pppp11-{F}(V5,V3,V6), pppp11-{F}(V5,V3,V7), pppp11-{F}(V5,V3,V8), pppp11-{F}(V5,V3,V9), pppp11-{F}(V5,V3,V10), pppp11-{F}(V5,V3,V11), pppp11-{F}(V5,V3,V12), P_powerset-{F}(V5,V13), P_powerset-{F}(V13,V14), pppp11-{F}(V5,V3,V14) | pppp51-{T}(V4)
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2857: mergings( V3 == V13, V2 == V14; #2852 ), references = 1, size of lhs = 13:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), pppp11-{F}(V1,V0,V5), pppp11-{F}(V1,V0,V6), pppp11-{F}(V1,V0,V7), P_powerset-{F}(V1,V8), P_powerset-{F}(V8,V9), pppp11-{F}(V1,V0,V9), pppp10-{F}(V10,V1,V0), P_powerset-{F}(V10,V11) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2860: mergings( V3 == V13, V2 == V14; #2853 ), references = 1, size of lhs = 13:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), pppp11-{F}(V1,V0,V5), pppp11-{F}(V1,V0,V6), pppp11-{F}(V1,V0,V7), P_powerset-{F}(V1,V8), P_powerset-{F}(V8,V9), pppp11-{F}(V1,V0,V9), pppp10-{F}(V10,V1,V0), P_powerset-{F}(V10,V11) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2864: mergings( V3 == V5, V5 == V14, V2 == V15; #2854 ), references = 1, size of lhs = 13:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), pppp11-{F}(V1,V0,V5), pppp11-{F}(V1,V0,V6), pppp11-{F}(V1,V0,V7), P_powerset-{F}(V1,V8), P_powerset-{F}(V8,V9), pppp11-{F}(V1,V0,V9), pppp10-{F}(V10,V1,V0), P_powerset-{F}(V10,V11) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2870: mergings( V3 == V12, V2 == V13; #2865 ), references = 1, size of lhs = 12:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), pppp11-{F}(V1,V0,V5), pppp11-{F}(V1,V0,V6), pppp11-{F}(V1,V0,V7), P_powerset-{F}(V1,V8), P_powerset-{F}(V8,V9), pppp11-{F}(V1,V0,V9), pppp10-{F}(V10,V1,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2873: mergings( V3 == V12, V2 == V13; #2866 ), references = 1, size of lhs = 12:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), pppp11-{F}(V1,V0,V5), pppp11-{F}(V1,V0,V6), pppp11-{F}(V1,V0,V7), P_powerset-{F}(V1,V8), P_powerset-{F}(V8,V9), pppp11-{F}(V1,V0,V9), pppp10-{F}(V10,V1,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2877: mergings( V3 == V4, V4 == V13, V2 == V14; #2867 ), references = 1, size of lhs = 12:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), pppp11-{F}(V1,V0,V5), pppp11-{F}(V1,V0,V6), pppp11-{F}(V1,V0,V7), P_powerset-{F}(V1,V8), P_powerset-{F}(V8,V9), pppp11-{F}(V1,V0,V9), pppp10-{F}(V10,V1,V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2881: exists( #1, #2865 ), references = 2, size of lhs = 12:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), pppp11-{F}(V1,V0,V5), pppp11-{F}(V1,V0,V6), pppp11-{F}(V1,V0,V7), pppp11-{F}(V1,V0,V8), P_powerset-{F}(V1,V9), P_powerset-{F}(V9,V10), pppp11-{F}(V1,V0,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2882: exists( #1, #2866 ), references = 1, size of lhs = 12:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), pppp11-{F}(V1,V0,V5), pppp11-{F}(V1,V0,V6), pppp11-{F}(V1,V0,V7), pppp11-{F}(V1,V0,V8), P_powerset-{F}(V1,V9), P_powerset-{F}(V9,V10), pppp11-{F}(V1,V0,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2883: exists( #1, #2867 ), references = 1, size of lhs = 12:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), pppp11-{F}(V1,V0,V2), pppp11-{F}(V1,V0,V3), pppp11-{F}(V1,V0,V4), pppp11-{F}(V1,V0,V5), pppp11-{F}(V1,V0,V6), pppp11-{F}(V1,V0,V7), pppp11-{F}(V1,V0,V8), P_powerset-{F}(V1,V9), P_powerset-{F}(V9,V10), pppp11-{F}(V1,V0,V10) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2893: exists( #220, #2887 ), references = 1, size of lhs = 3:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V1,V2) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2897: exists( #220, #2890 ), references = 1, size of lhs = 2:
% 57.75/57.95 P_omega-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2901: exists( #219, #2894 ), references = 1, size of lhs = 1:
% 57.75/57.95 P_empty_set-{F}(V0) | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 #2905: exists( #218, #2898 ), references = 1, size of lhs = 0:
% 57.75/57.95 FALSE | FALSE
% 57.75/57.95 (used 0 times, uses = {})
% 57.75/57.95
% 57.75/57.95 number of learnt formulas = 211
% 57.75/57.95
% 57.75/57.95
% 57.75/57.95 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.75/57.95
% 57.75/57.95 randbase = 1
%------------------------------------------------------------------------------