TSTP Solution File: SET666+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET666+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:16:34 EDT 2022
% Result : Theorem 207.90s 208.10s
% Output : Refutation 207.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET666+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 : Sat Jul 23 02:30:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 207.90/208.10 GeoParameters:
% 207.90/208.10
% 207.90/208.10 tptp_input = 1
% 207.90/208.10 tptp_output = 0
% 207.90/208.10 nonempty = 1
% 207.90/208.10 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 207.90/208.10 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 207.90/208.10
% 207.90/208.10
% 207.90/208.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 207.90/208.10 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 207.90/208.10
% 207.90/208.10 RuleSystem INPUT:
% 207.90/208.10
% 207.90/208.10 Initial Rules:
% 207.90/208.10 #0: input, references = 21, size of lhs = 7:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V1,V2,V5), ilf_type-{F}(V2,V0), ilf_type-{F}(V6,V4) | ilf_type-{T}(V6,V5)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1: input, references = 31, size of lhs = 7:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V1,V2,V5), ilf_type-{F}(V2,V0), ilf_type-{F}(V6,V5) | ilf_type-{T}(V6,V4)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2: input, references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_relation_type-{F}(V2,V1,V3), ilf_type-{F}(V2,V0) | EXISTS V4: pppp6-{T}(V3,V4)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #3: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp6-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #4: input, references = 4, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_identity_relation_of-{F}(V1,V2), P_cross_product-{F}(V1,V1,V3), ilf_type-{F}(V1,V0) | subset-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #5: input, references = 35, size of lhs = 7:
% 207.90/208.10 P_set_type-{F}(V0), P_identity_relation_of-{F}(V1,V2), ilf_type-{F}(V1,V0), ilf_type-{F}(V3,V0), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V0), member-{F}(V5,V2) | pppp0-{T}(V1,V3,V4)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #6: input, references = 11, size of lhs = 7:
% 207.90/208.10 P_set_type-{F}(V0), P_identity_relation_of-{F}(V1,V2), ilf_type-{F}(V1,V0), ilf_type-{F}(V3,V0), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V0), pppp0-{F}(V1,V3,V4) | member-{T}(V5,V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #7: input, references = 14, size of lhs = 2:
% 207.90/208.10 P_set_type-{F}(V0), pppp0-{F}(V1,V2,V3) | member-{T}(V2,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #8: input, references = 14, size of lhs = 3:
% 207.90/208.10 P_set_type-{F}(V0), pppp0-{F}(V1,V2,V3), V2 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #9: input, references = 9, size of lhs = 2:
% 207.90/208.10 P_set_type-{F}(V0), member-{F}(V3,V1) | pppp0-{T}(V1,V3,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #10: input, references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_identity_relation_of-{F}(V2,V3), ilf_type-{F}(V2,V0) | ilf_type-{T}(V3,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #11: input, references = 37, size of lhs = 7:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_identity_relation_of_type-{F}(V2,V3), P_relation_type-{F}(V2,V2,V4), ilf_type-{F}(V2,V0), ilf_type-{F}(V5,V0), ilf_type-{F}(V5,V3) | ilf_type-{T}(V5,V4)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #12: input, references = 8, size of lhs = 7:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_identity_relation_of_type-{F}(V2,V3), P_relation_type-{F}(V2,V2,V4), ilf_type-{F}(V2,V0), ilf_type-{F}(V5,V0), ilf_type-{F}(V5,V4) | ilf_type-{T}(V5,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #13: input, references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_identity_relation_of_type-{F}(V2,V3), ilf_type-{F}(V2,V0) | EXISTS V4: pppp7-{T}(V3,V4)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #14: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp7-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #15: input, references = 3, size of lhs = 5:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_cross_product-{F}(V2,V3,V4), ilf_type-{F}(V3,V0) | ilf_type-{T}(V4,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #16: input, references = 3, size of lhs = 5:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_ordered_pair-{F}(V2,V3,V4), ilf_type-{F}(V3,V0) | ilf_type-{T}(V4,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #17: input, references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), ilf_type-{F}(V2,V1) | pppp1-{T}(V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #18: input, references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), pppp1-{F}(V2) | ilf_type-{T}(V2,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #19: input, references = 3, size of lhs = 3:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp1-{F}(V2) | relation_like-{T}(V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #20: input, references = 3, size of lhs = 3:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp1-{F}(V2) | ilf_type-{T}(V2,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #21: input, references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), relation_like-{F}(V2), ilf_type-{F}(V2,V0) | pppp1-{T}(V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #22: input, references = 3, size of lhs = 2:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1) | EXISTS V2: pppp8-{T}(V1,V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #23: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp8-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #24: input, references = 20, size of lhs = 8:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), P_member_type-{F}(V4,V5), ilf_type-{F}(V2,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V6,V3) | ilf_type-{T}(V6,V5)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #25: input, references = 14, size of lhs = 8:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), P_member_type-{F}(V4,V5), ilf_type-{F}(V2,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V6,V5) | ilf_type-{T}(V6,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #26: input, references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_subset_type-{F}(V2,V3), ilf_type-{F}(V2,V0) | EXISTS V4: pppp9-{T}(V3,V4)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #27: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp9-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #28: input, references = 4, size of lhs = 5:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), subset-{F}(V2,V3) | pppp2-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #29: input, references = 3, size of lhs = 5:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), pppp2-{F}(V2,V3) | subset-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #30: input, references = 11, size of lhs = 5:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp2-{F}(V2,V3), ilf_type-{F}(V4,V0), member-{F}(V4,V2) | member-{T}(V4,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #31: input, references = 11, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2, #-{F} V3 | pppp2-{T}(V2,V3), pppp18-{T}(V2,V3,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #32: input, references = 7, size of lhs = 1:
% 207.90/208.10 pppp18-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V3,V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #33: input, references = 6, size of lhs = 2:
% 207.90/208.10 pppp10-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #34: input, references = 7, size of lhs = 1:
% 207.90/208.10 pppp10-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #35: input, references = 7, size of lhs = 1:
% 207.90/208.10 pppp10-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #36: input, references = 3, size of lhs = 3:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0) | subset-{T}(V2,V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #37: input, references = 16, size of lhs = 6:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_power_set-{F}(V3,V4), ilf_type-{F}(V3,V0), member-{F}(V2,V4) | pppp3-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #38: input, references = 22, size of lhs = 6:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_power_set-{F}(V3,V4), ilf_type-{F}(V3,V0), pppp3-{F}(V2,V3) | member-{T}(V2,V4)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #39: input, references = 21, size of lhs = 5:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp3-{F}(V2,V3), ilf_type-{F}(V4,V0), member-{F}(V4,V2) | member-{T}(V4,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #40: input, references = 19, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2, #-{F} V3 | pppp3-{T}(V2,V3), pppp19-{T}(V2,V3,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #41: input, references = 5, size of lhs = 1:
% 207.90/208.10 pppp19-{F}(V0,V1,V2) | EXISTS V3: pppp11-{T}(V0,V1,V3,V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #42: input, references = 4, size of lhs = 2:
% 207.90/208.10 pppp11-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #43: input, references = 5, size of lhs = 1:
% 207.90/208.10 pppp11-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #44: input, references = 5, size of lhs = 1:
% 207.90/208.10 pppp11-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #45: input, references = 5, size of lhs = 5:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_power_set-{F}(V2,V3), ilf_type-{F}(V2,V0), empty-{F}(V3) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #46: input, references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_power_set-{F}(V2,V3), ilf_type-{F}(V2,V0) | ilf_type-{T}(V3,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #47: input, references = 5, size of lhs = 6:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_member_type-{F}(V3,V4), ilf_type-{F}(V3,V0), ilf_type-{F}(V2,V4) | empty-{T}(V3), member-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #48: input, references = 5, size of lhs = 6:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_member_type-{F}(V3,V4), ilf_type-{F}(V3,V0), member-{F}(V2,V3) | empty-{T}(V3), ilf_type-{T}(V2,V4)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #49: input, references = 5, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_member_type-{F}(V2,V3), ilf_type-{F}(V2,V0) | empty-{T}(V2), pppp20-{T}(V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #50: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp20-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #51: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp12-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #52: input, references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), relation_like-{F}(V2) | pppp4-{T}(V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #53: input, references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), pppp4-{F}(V2) | relation_like-{T}(V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #54: input, references = 3, size of lhs = 5:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp4-{F}(V2), ilf_type-{F}(V3,V0), member-{F}(V3,V2) | EXISTS V4: pppp14-{T}(V3,V4,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #55: input, references = 3, size of lhs = 3:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | pppp4-{T}(V2), pppp21-{T}(V2,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #56: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp21-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #57: input, references = 3, size of lhs = 4:
% 207.90/208.10 pppp15-{F}(V0,V5,V2), ilf_type-{F}(V3,V2), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V2) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #58: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp15-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #59: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp15-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #60: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp14-{F}(V0,V1,V2) | EXISTS V3: pppp13-{T}(V0,V1,V3,V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #61: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp14-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #62: input, references = 3, size of lhs = 3:
% 207.90/208.10 pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V0 == V4 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #63: input, references = 3, size of lhs = 2:
% 207.90/208.10 pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #64: input, references = 3, size of lhs = 7:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_cross_product-{F}(V2,V3,V4), P_subset_type-{F}(V4,V5), ilf_type-{F}(V3,V0), ilf_type-{F}(V6,V5) | relation_like-{T}(V6)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #65: input, references = 12, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), empty-{F}(V2) | pppp5-{T}(V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #66: input, references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), pppp5-{F}(V2) | empty-{T}(V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #67: input, references = 13, size of lhs = 5:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp5-{F}(V2), ilf_type-{F}(V3,V0), member-{F}(V3,V2) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #68: input, references = 6, size of lhs = 3:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | pppp5-{T}(V2), pppp22-{T}(V2,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #69: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp22-{F}(V0,V1) | EXISTS V2: pppp16-{T}(V0,V2,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #70: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp16-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #71: input, references = 3, size of lhs = 1:
% 207.90/208.10 pppp16-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #72: input, references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), empty-{F}(V2), ilf_type-{F}(V2,V0) | relation_like-{T}(V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #73: input, references = 55, size of lhs = 3:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | ilf_type-{T}(V2,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #74: input, references = 4, size of lhs = 2:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1) | EXISTS V2: pppp17-{T}(V2,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #75: input, references = 5, size of lhs = 4:
% 207.90/208.10 pppp17-{F}(V0,V1), P_identity_relation_of-{F}(V0,V2), P_identity_relation_of_type-{F}(V0,V3), ilf_type-{F}(V2,V3) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #76: input, references = 3, size of lhs = 3:
% 207.90/208.10 pppp17-{F}(V0,V1), P_identity_relation_of-{F}(V0,V2), P_identity_relation_of_type-{F}(V0,V3) | ilf_type-{T}(V0,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #77: input, references = 4, size of lhs = 0:
% 207.90/208.10 FALSE | EXISTS V0: P_set_type-{T}(V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #78: input, references = 15, size of lhs = 1:
% 207.90/208.10 #-{F} V0 | EXISTS V1: P_subset_type-{T}(V0,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #79: input, references = 4, size of lhs = 2:
% 207.90/208.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #80: input, references = 14, size of lhs = 2:
% 207.90/208.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_type-{T}(V0,V1,V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #81: input, references = 7, size of lhs = 1:
% 207.90/208.10 #-{F} V0 | EXISTS V1: P_identity_relation_of-{T}(V0,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #82: input, references = 17, size of lhs = 2:
% 207.90/208.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #83: input, references = 4, size of lhs = 0:
% 207.90/208.10 FALSE | EXISTS V0: P_binary_relation_type-{T}(V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #84: input, references = 4, size of lhs = 1:
% 207.90/208.10 #-{F} V0 | EXISTS V1: P_identity_relation_of_type-{T}(V0,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #85: input, references = 15, size of lhs = 1:
% 207.90/208.10 #-{F} V0 | EXISTS V1: P_member_type-{T}(V0,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #86: input, references = 19, size of lhs = 1:
% 207.90/208.10 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 number of initial rules = 87
% 207.90/208.10
% 207.90/208.10 Simplifiers:
% 207.90/208.10 #87: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 P_set_type-{F}(V0), P_set_type-{F}(V1), V0 == V1 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #88: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 P_subset_type-{F}(V0,V1), P_subset_type-{F}(V0,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #89: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #90: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 P_relation_type-{F}(V0,V1,V2), P_relation_type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #91: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 P_identity_relation_of-{F}(V0,V1), P_identity_relation_of-{F}(V0,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #92: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #93: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_binary_relation_type-{F}(V1), V0 == V1 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #94: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 P_identity_relation_of_type-{F}(V0,V1), P_identity_relation_of_type-{F}(V0,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #95: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 P_member_type-{F}(V0,V1), P_member_type-{F}(V0,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #96: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #97: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #98: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #99: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #100: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #101: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #102: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #103: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #104: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #105: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #106: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #107: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #108: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #109: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #110: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V2), V1 == V4 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #111: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V2 == V5 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #112: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #113: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V2 == V5 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #114: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V4,V2), V1 == V4 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #115: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V2 == V5 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #116: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #117: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp17-{F}(V0,V1), pppp17-{F}(V2,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #118: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V2 == V5 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #119: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp19-{F}(V0,V1,V2), pppp19-{F}(V3,V4,V5), V2 == V5 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #120: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #121: unsound, references = 3, size of lhs = 3:
% 207.90/208.10 pppp22-{F}(V0,V1), pppp22-{F}(V2,V3), V1 == V3 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 number of simplifiers = 35
% 207.90/208.10
% 207.90/208.10 Learnt:
% 207.90/208.10 #125: mergings( V0 == V3, V1 == V4; #122 ), references = 1, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V3) | pppp22-{T}(V3,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #130: mergings( V0 == V5, V5 == V9; #127 ), references = 9, size of lhs = 12:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of-{F}(V2,V3), ilf_type-{F}(V3,V1), P_member_type-{F}(V3,V4), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), V5 == V6, P_ordered_pair-{F}(V5,V6,V7), ilf_type-{F}(V7,V1), ilf_type-{F}(V7,V4) | empty-{T}(V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #140: mergings( V6 == V12, V3 == V4, V4 == V5, V5 == V13; #135 ), references = 2, size of lhs = 15:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_subset_type-{F}(V1,V0), P_power_set-{F}(V1,V2), P_member_type-{F}(V2,V3), ilf_type-{F}(V4,V0), P_identity_relation_of-{F}(V4,V5), ilf_type-{F}(V5,V0), P_member_type-{F}(V5,V3), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), V6 == V7, P_binary_relation_type-{F}(V8), P_power_set-{F}(V9,V5), ilf_type-{F}(V9,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #159: mergings( V0 == V4, V4 == V6, V6 == V11, V1 == V5; #154 ), references = 1, size of lhs = 11:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of-{F}(V2,V3), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), V4 == V5, P_ordered_pair-{F}(V4,V5,V6), ilf_type-{F}(V6,V1), P_power_set-{F}(V7,V3), ilf_type-{F}(V7,V1) | pppp19-{T}(V6,V7,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #178: mergings( V0 == V4, V4 == V7, V1 == V5, V5 == V8; #173 ), references = 1, size of lhs = 5:
% 207.90/208.10 pppp5-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), member-{F}(V2,V3), P_binary_relation_type-{F}(V4) | pppp19-{T}(V3,V0,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #180: exists( #85, #140 ), references = 1, size of lhs = 13:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_subset_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_identity_relation_of-{F}(V3,V2), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), V4 == V5, P_binary_relation_type-{F}(V6), P_power_set-{F}(V7,V2), ilf_type-{F}(V7,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #187: mergings( V2 == V6, V6 == V9; #184 ), references = 10, size of lhs = 10:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), pppp0-{F}(V2,V1,V3), ilf_type-{F}(V3,V0), P_ordered_pair-{F}(V1,V3,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), V5 == V6, P_ordered_pair-{F}(V5,V6,V4) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #197: mergings( V0 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V13, V1 == V5; #190 ), references = 1, size of lhs = 11:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_power_set-{F}(V2,V3), ilf_type-{F}(V3,V1), ilf_type-{F}(V4,V1), P_ordered_pair-{F}(V4,V4,V5), ilf_type-{F}(V6,V1), ilf_type-{F}(V7,V1), V6 == V7, P_ordered_pair-{F}(V6,V7,V5) | pppp19-{T}(V4,V2,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #216: mergings( V0 == V4, V4 == V7, V1 == V5, V5 == V8; #211 ), references = 2, size of lhs = 5:
% 207.90/208.10 pppp5-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), member-{F}(V2,V3), P_binary_relation_type-{F}(V4) | pppp18-{T}(V3,V0,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #233: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V11, V1 == V5, V5 == V7, V7 == V9, V9 == V12; #224 ), references = 1, size of lhs = 8:
% 207.90/208.10 pppp5-{F}(V0), ilf_type-{F}(V0,V1), P_set_type-{F}(V1), P_power_set-{F}(V0,V2), ilf_type-{F}(V2,V1), P_power_set-{F}(V3,V2), ilf_type-{F}(V3,V1), P_binary_relation_type-{F}(V4) | pppp19-{T}(V2,V3,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #275: mergings( V0 == V4, V4 == V6, V6 == V11, V1 == V5; #269 ), references = 3, size of lhs = 10:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of-{F}(V2,V3), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), V4 == V5, P_ordered_pair-{F}(V4,V5,V6), ilf_type-{F}(V6,V1), member-{F}(V6,V7) | pppp18-{T}(V7,V3,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #281: mergings( V0 == V4, V4 == V6, V6 == V11, V10 == V12, V1 == V5; #270 ), references = 1, size of lhs = 13:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_identity_relation_of-{F}(V3,V4), ilf_type-{F}(V5,V1), P_ordered_pair-{F}(V2,V5,V6), ilf_type-{F}(V6,V1), member-{F}(V6,V7), ilf_type-{F}(V8,V1), ilf_type-{F}(V9,V1), V8 == V9, P_ordered_pair-{F}(V8,V9,V6) | pppp18-{T}(V7,V4,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #304: mergings( V2 == V7, V7 == V12, V3 == V6, V6 == V13; #299 ), references = 2, size of lhs = 16:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_subset_type-{F}(V1,V2), P_power_set-{F}(V1,V3), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_identity_relation_of-{F}(V4,V3), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), V5 == V6, P_ordered_pair-{F}(V5,V6,V7), ilf_type-{F}(V7,V2), ilf_type-{F}(V7,V0), P_binary_relation_type-{F}(V8), P_power_set-{F}(V9,V3), ilf_type-{F}(V9,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #349: mergings( V2 == V5; #347 ), references = 3, size of lhs = 11:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V1,V2), P_subset_type-{F}(V2,V3), P_binary_relation_type-{F}(V4), P_identity_relation_of_type-{F}(V1,V5), P_identity_relation_of_type-{F}(V6,V5), pppp17-{F}(V6,V7), P_identity_relation_of-{F}(V6,V8), ilf_type-{F}(V8,V3), ilf_type-{F}(V8,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #366: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V13, V1 == V5, V5 == V7, V7 == V9, V9 == V14; #357 ), references = 1, size of lhs = 9:
% 207.90/208.10 pppp5-{F}(V0), ilf_type-{F}(V0,V1), P_set_type-{F}(V1), P_power_set-{F}(V0,V2), ilf_type-{F}(V3,V1), member-{F}(V3,V4), ilf_type-{F}(V4,V1), member-{F}(V4,V5), P_binary_relation_type-{F}(V6) | pppp18-{T}(V5,V2,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #394: exists( #41, #392 ), references = 1, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp5-{F}(V2), pppp19-{F}(V2,V3,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #399: mergings( V1 == V4; #397 ), references = 1, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp5-{F}(V2), #-{F} V3 | pppp3-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #456: exists( #32, #454 ), references = 1, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp5-{F}(V2), pppp18-{F}(V2,V3,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #459: mergings( V1 == V4; #457 ), references = 1, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp5-{F}(V2), #-{F} V3 | pppp2-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #524: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V13, V1 == V5, V5 == V7, V7 == V9, V9 == V14; #515 ), references = 1, size of lhs = 9:
% 207.90/208.10 pppp5-{F}(V0), ilf_type-{F}(V0,V1), P_set_type-{F}(V1), P_power_set-{F}(V0,V2), ilf_type-{F}(V3,V1), member-{F}(V3,V4), ilf_type-{F}(V4,V1), member-{F}(V4,V5), P_binary_relation_type-{F}(V6) | pppp19-{T}(V5,V2,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #533: mergings( V2 == V6; #531 ), references = 2, size of lhs = 14:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), P_cross_product-{F}(V5,V5,V3), P_binary_relation_type-{F}(V6), P_identity_relation_of_type-{F}(V5,V7), P_identity_relation_of_type-{F}(V8,V7), pppp17-{F}(V8,V9), P_identity_relation_of-{F}(V8,V10), ilf_type-{F}(V10,V4), ilf_type-{F}(V10,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #636: mergings( V0 == V5, V1 == V6; #633 ), references = 12, size of lhs = 8:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_binary_relation_type-{F}(V3), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V5), P_member_type-{F}(V5,V2), ilf_type-{F}(V5,V0) | member-{T}(V1,V5)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #653: mergings( V2 == V6, V6 == V9, V9 == V11, V11 == V14, V3 == V7, V7 == V10, V10 == V12, V12 == V15; #644 ), references = 7, size of lhs = 12:
% 207.90/208.10 pppp5-{F}(V0), P_power_set-{F}(V0,V1), P_power_set-{F}(V2,V1), ilf_type-{F}(V2,V3), ilf_type-{F}(V0,V3), P_set_type-{F}(V3), ilf_type-{F}(V1,V3), P_subset_type-{F}(V2,V4), ilf_type-{F}(V1,V4), ilf_type-{F}(V5,V3), P_power_set-{F}(V5,V1), P_binary_relation_type-{F}(V6) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #665: mergings( V5 == V8, V8 == V12, V3 == V4, V4 == V9, V9 == V15; #659 ), references = 2, size of lhs = 17:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of-{F}(V1,V2), P_member_type-{F}(V2,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), V3 == V4, P_power_set-{F}(V2,V5), ilf_type-{F}(V5,V0), P_power_set-{F}(V6,V5), ilf_type-{F}(V6,V0), P_subset_type-{F}(V6,V7), ilf_type-{F}(V5,V7), ilf_type-{F}(V8,V0), P_power_set-{F}(V8,V5), P_binary_relation_type-{F}(V9) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #699: mergings( V2 == V7, V7 == V10, V10 == V11, V3 == V8; #694 ), references = 1, size of lhs = 15:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V3), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), P_power_set-{F}(V6,V4), P_ordered_pair-{F}(V5,V5,V7), ilf_type-{F}(V8,V1), ilf_type-{F}(V9,V1), V8 == V9, P_ordered_pair-{F}(V8,V9,V7) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #703: mergings( V0 == V5, V1 == V8; #700 ), references = 1, size of lhs = 11:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), P_power_set-{F}(V3,V2), ilf_type-{F}(V3,V0), P_subset_type-{F}(V1,V4), ilf_type-{F}(V2,V4), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V2), P_binary_relation_type-{F}(V6) | pppp22-{T}(V3,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #707: mergings( V2 == V6; #705 ), references = 1, size of lhs = 8:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of-{F}(V1,V2), P_member_type-{F}(V2,V0), P_subset_type-{F}(V2,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_binary_relation_type-{F}(V4) | P_power_set-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #724: mergings( V4 == V8, V8 == V13, V13 == V17, V3 == V10, V10 == V14, V14 == V20; #717 ), references = 1, size of lhs = 22:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), P_identity_relation_of-{F}(V5,V6), P_member_type-{F}(V6,V4), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), V7 == V8, P_power_set-{F}(V6,V9), ilf_type-{F}(V9,V0), P_power_set-{F}(V10,V9), ilf_type-{F}(V10,V0), P_subset_type-{F}(V10,V11), ilf_type-{F}(V9,V11), ilf_type-{F}(V12,V0), P_power_set-{F}(V12,V9), P_binary_relation_type-{F}(V13) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #748: mergings( V4 == V8, V8 == V16, V16 == V20, V3 == V10, V10 == V13, V13 == V17, V17 == V23; #739 ), references = 1, size of lhs = 25:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), P_relation_type-{F}(V5,V5,V4), P_identity_relation_of_type-{F}(V5,V6), ilf_type-{F}(V7,V0), P_identity_relation_of-{F}(V7,V8), P_member_type-{F}(V8,V6), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), V9 == V10, P_power_set-{F}(V8,V11), ilf_type-{F}(V11,V0), P_power_set-{F}(V12,V11), ilf_type-{F}(V12,V0), P_subset_type-{F}(V12,V13), ilf_type-{F}(V11,V13), ilf_type-{F}(V14,V0), P_power_set-{F}(V14,V11), P_binary_relation_type-{F}(V15) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #757: mergings( V3 == V5, V5 == V13, V13 == V17, V2 == V6, V6 == V8, V8 == V14, V14 == V20; #749 ), references = 1, size of lhs = 21:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V1,V2), P_subset_type-{F}(V2,V0), P_identity_relation_of_type-{F}(V1,V3), ilf_type-{F}(V4,V0), P_identity_relation_of-{F}(V4,V5), P_member_type-{F}(V5,V3), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), V6 == V7, P_power_set-{F}(V5,V8), ilf_type-{F}(V8,V0), P_power_set-{F}(V9,V8), ilf_type-{F}(V9,V0), P_subset_type-{F}(V9,V10), ilf_type-{F}(V8,V10), ilf_type-{F}(V11,V0), P_power_set-{F}(V11,V8), P_binary_relation_type-{F}(V12) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #771: mergings( V6 == V11, V11 == V15, V3 == V4, V4 == V5, V5 == V12, V12 == V18; #764 ), references = 1, size of lhs = 20:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_relation_type-{F}(V1,V1,V0), P_identity_relation_of_type-{F}(V1,V2), ilf_type-{F}(V3,V0), P_identity_relation_of-{F}(V3,V4), P_member_type-{F}(V4,V2), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), V5 == V6, P_power_set-{F}(V4,V7), ilf_type-{F}(V7,V0), P_power_set-{F}(V8,V7), ilf_type-{F}(V8,V0), P_subset_type-{F}(V8,V9), ilf_type-{F}(V7,V9), ilf_type-{F}(V10,V0), P_power_set-{F}(V10,V7), P_binary_relation_type-{F}(V11) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #814: mergings( V2 == V6, V6 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V26, V3 == V7, V7 == V11, V11 == V14, V14 == V16, V16 == V19; #800 ), references = 11, size of lhs = 24:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), ilf_type-{F}(V4,V3), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), P_power_set-{F}(V5,V4), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V1), P_power_set-{F}(V7,V4), ilf_type-{F}(V8,V1), P_power_set-{F}(V8,V4), ilf_type-{F}(V9,V1), P_identity_relation_of-{F}(V9,V10), P_power_set-{F}(V10,V4), ilf_type-{F}(V10,V1), ilf_type-{F}(V11,V1), ilf_type-{F}(V12,V1), V11 == V12, P_ordered_pair-{F}(V11,V12,V13), ilf_type-{F}(V13,V6), ilf_type-{F}(V13,V1) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #828: mergings( V2 == V6, V6 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V26, V25 == V27, V3 == V7, V7 == V11, V11 == V14, V14 == V16, V16 == V19; #801 ), references = 11, size of lhs = 27:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), ilf_type-{F}(V4,V3), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), P_power_set-{F}(V5,V4), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V1), P_power_set-{F}(V7,V4), ilf_type-{F}(V8,V1), P_power_set-{F}(V8,V4), ilf_type-{F}(V9,V1), ilf_type-{F}(V10,V1), P_identity_relation_of-{F}(V10,V11), P_power_set-{F}(V11,V4), ilf_type-{F}(V11,V1), ilf_type-{F}(V12,V1), P_ordered_pair-{F}(V9,V12,V13), ilf_type-{F}(V13,V6), ilf_type-{F}(V13,V1), ilf_type-{F}(V14,V1), ilf_type-{F}(V15,V1), V14 == V15, P_ordered_pair-{F}(V14,V15,V13) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #834: mergings( V3 == V4; #831 ), references = 1, size of lhs = 21:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), ilf_type-{F}(V4,V3), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), P_power_set-{F}(V5,V4), P_subset_type-{F}(V5,V1), ilf_type-{F}(V6,V1), P_power_set-{F}(V6,V4), ilf_type-{F}(V7,V1), P_power_set-{F}(V7,V4), ilf_type-{F}(V8,V1), P_identity_relation_of-{F}(V8,V9), P_power_set-{F}(V9,V4), ilf_type-{F}(V9,V1), ilf_type-{F}(V10,V1), ilf_type-{F}(V11,V1), V10 == V11 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #836: mergings( V3 == V4; #832 ), references = 1, size of lhs = 21:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), ilf_type-{F}(V4,V3), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), P_power_set-{F}(V5,V4), P_subset_type-{F}(V5,V1), ilf_type-{F}(V6,V1), P_power_set-{F}(V6,V4), ilf_type-{F}(V7,V1), P_power_set-{F}(V7,V4), ilf_type-{F}(V8,V1), P_identity_relation_of-{F}(V8,V9), P_power_set-{F}(V9,V4), ilf_type-{F}(V9,V1), ilf_type-{F}(V10,V1), ilf_type-{F}(V11,V1), V10 == V11 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #843: mergings( V2 == V3, V3 == V4; #839 ), references = 1, size of lhs = 9:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of-{F}(V2,V3), P_subset_type-{F}(V3,V1), ilf_type-{F}(V3,V1), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), V4 == V5 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #846: mergings( V2 == V3, V3 == V4; #840 ), references = 1, size of lhs = 9:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of-{F}(V2,V3), P_subset_type-{F}(V3,V1), ilf_type-{F}(V3,V1), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), V4 == V5 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #864: mergings( V7 == V8, V2 == V3, V3 == V4; #859 ), references = 1, size of lhs = 15:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of_type-{F}(V2,V1), P_relation_type-{F}(V2,V2,V3), ilf_type-{F}(V4,V1), P_identity_relation_of-{F}(V4,V5), ilf_type-{F}(V5,V1), P_subset_type-{F}(V5,V3), ilf_type-{F}(V6,V1), ilf_type-{F}(V7,V1), V6 == V7, P_ordered_pair-{F}(V6,V7,V8), ilf_type-{F}(V8,V3), ilf_type-{F}(V8,V1) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #868: mergings( V7 == V8, V2 == V3, V3 == V4; #860 ), references = 1, size of lhs = 18:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of_type-{F}(V2,V1), P_relation_type-{F}(V2,V2,V3), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), P_identity_relation_of-{F}(V5,V6), ilf_type-{F}(V6,V1), P_subset_type-{F}(V6,V3), ilf_type-{F}(V7,V1), P_ordered_pair-{F}(V4,V7,V8), ilf_type-{F}(V8,V3), ilf_type-{F}(V8,V1), ilf_type-{F}(V9,V1), ilf_type-{F}(V10,V1), V9 == V10, P_ordered_pair-{F}(V9,V10,V8) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #881: mergings( V4 == V9, V11 == V13, V2 == V3, V3 == V12; #875 ), references = 1, size of lhs = 20:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_relation_type-{F}(V1,V2,V3), P_relation_type-{F}(V4,V4,V3), ilf_type-{F}(V4,V0), P_identity_relation_of_type-{F}(V4,V0), P_cross_product-{F}(V1,V2,V5), P_subset_type-{F}(V5,V6), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), P_identity_relation_of-{F}(V8,V9), ilf_type-{F}(V9,V0), P_subset_type-{F}(V9,V6), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), V10 == V11, P_ordered_pair-{F}(V10,V11,V12), ilf_type-{F}(V12,V6), ilf_type-{F}(V12,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #886: mergings( V4 == V9, V11 == V13, V2 == V3, V3 == V12; #876 ), references = 1, size of lhs = 23:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_relation_type-{F}(V1,V2,V3), P_relation_type-{F}(V4,V4,V3), ilf_type-{F}(V4,V0), P_identity_relation_of_type-{F}(V4,V0), P_cross_product-{F}(V1,V2,V5), P_subset_type-{F}(V5,V6), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_identity_relation_of-{F}(V9,V10), ilf_type-{F}(V10,V0), P_subset_type-{F}(V10,V6), ilf_type-{F}(V11,V0), P_ordered_pair-{F}(V8,V11,V12), ilf_type-{F}(V12,V6), ilf_type-{F}(V12,V0), ilf_type-{F}(V13,V0), ilf_type-{F}(V14,V0), V13 == V14, P_ordered_pair-{F}(V13,V14,V12) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #895: mergings( V2 == V8, V8 == V13, V6 == V7, V7 == V14; #889 ), references = 3, size of lhs = 22:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V3), P_relation_type-{F}(V5,V6,V7), P_relation_type-{F}(V8,V8,V7), ilf_type-{F}(V8,V0), P_identity_relation_of_type-{F}(V8,V0), P_binary_relation_type-{F}(V9), ilf_type-{F}(V10,V0), P_identity_relation_of-{F}(V10,V3), ilf_type-{F}(V11,V0), ilf_type-{F}(V12,V0), V11 == V12, P_ordered_pair-{F}(V11,V12,V13), ilf_type-{F}(V13,V4), ilf_type-{F}(V13,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #900: mergings( V2 == V8, V8 == V13, V6 == V7, V7 == V14; #890 ), references = 3, size of lhs = 25:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V3), P_relation_type-{F}(V5,V6,V7), P_relation_type-{F}(V8,V8,V7), ilf_type-{F}(V8,V0), P_identity_relation_of_type-{F}(V8,V0), P_binary_relation_type-{F}(V9), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), P_identity_relation_of-{F}(V11,V3), ilf_type-{F}(V12,V0), P_ordered_pair-{F}(V10,V12,V13), ilf_type-{F}(V13,V4), ilf_type-{F}(V13,V0), ilf_type-{F}(V14,V0), ilf_type-{F}(V15,V0), V14 == V15, P_ordered_pair-{F}(V14,V15,V13) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #918: mergings( V4 == V10, V10 == V12, V16 == V18, V2 == V3, V3 == V17; #911 ), references = 1, size of lhs = 25:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V5,V5,V4), ilf_type-{F}(V5,V0), P_identity_relation_of_type-{F}(V5,V0), P_relation_type-{F}(V1,V2,V6), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_relation_type-{F}(V7,V8,V6), P_cross_product-{F}(V7,V8,V9), P_subset_type-{F}(V9,V10), P_binary_relation_type-{F}(V11), ilf_type-{F}(V12,V0), P_identity_relation_of-{F}(V12,V13), ilf_type-{F}(V13,V0), P_subset_type-{F}(V13,V10), ilf_type-{F}(V14,V0), ilf_type-{F}(V15,V0), V14 == V15, P_ordered_pair-{F}(V14,V15,V16), ilf_type-{F}(V16,V10), ilf_type-{F}(V16,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #924: mergings( V4 == V10, V10 == V12, V16 == V18, V2 == V3, V3 == V17; #912 ), references = 1, size of lhs = 28:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V5,V5,V4), ilf_type-{F}(V5,V0), P_identity_relation_of_type-{F}(V5,V0), P_relation_type-{F}(V1,V2,V6), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_relation_type-{F}(V7,V8,V6), P_cross_product-{F}(V7,V8,V9), P_subset_type-{F}(V9,V10), P_binary_relation_type-{F}(V11), ilf_type-{F}(V12,V0), ilf_type-{F}(V13,V0), P_identity_relation_of-{F}(V13,V14), ilf_type-{F}(V14,V0), P_subset_type-{F}(V14,V10), ilf_type-{F}(V15,V0), P_ordered_pair-{F}(V12,V15,V16), ilf_type-{F}(V16,V10), ilf_type-{F}(V16,V0), ilf_type-{F}(V17,V0), ilf_type-{F}(V18,V0), V17 == V18, P_ordered_pair-{F}(V17,V18,V16) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #934: mergings( V2 == V8, V8 == V14, V14 == V16, V6 == V7, V7 == V19; #927 ), references = 2, size of lhs = 27:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V7), P_subset_type-{F}(V7,V8), P_relation_type-{F}(V9,V9,V8), ilf_type-{F}(V9,V0), P_identity_relation_of_type-{F}(V9,V0), P_relation_type-{F}(V5,V6,V10), ilf_type-{F}(V11,V0), ilf_type-{F}(V12,V0), P_relation_type-{F}(V11,V12,V10), P_cross_product-{F}(V11,V12,V3), P_binary_relation_type-{F}(V13), ilf_type-{F}(V14,V0), P_identity_relation_of-{F}(V14,V3), ilf_type-{F}(V15,V0), ilf_type-{F}(V16,V0), V15 == V16, P_ordered_pair-{F}(V15,V16,V17), ilf_type-{F}(V17,V4), ilf_type-{F}(V17,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #940: mergings( V2 == V8, V8 == V14, V14 == V16, V6 == V7, V7 == V19; #928 ), references = 1, size of lhs = 30:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V7), P_subset_type-{F}(V7,V8), P_relation_type-{F}(V9,V9,V8), ilf_type-{F}(V9,V0), P_identity_relation_of_type-{F}(V9,V0), P_relation_type-{F}(V5,V6,V10), ilf_type-{F}(V11,V0), ilf_type-{F}(V12,V0), P_relation_type-{F}(V11,V12,V10), P_cross_product-{F}(V11,V12,V3), P_binary_relation_type-{F}(V13), ilf_type-{F}(V14,V0), ilf_type-{F}(V15,V0), P_identity_relation_of-{F}(V15,V3), ilf_type-{F}(V16,V0), P_ordered_pair-{F}(V14,V16,V17), ilf_type-{F}(V17,V4), ilf_type-{F}(V17,V0), ilf_type-{F}(V18,V0), ilf_type-{F}(V19,V0), V18 == V19, P_ordered_pair-{F}(V18,V19,V17) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #963: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V16, V1 == V5; #955 ), references = 1, size of lhs = 16:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_identity_relation_of-{F}(V3,V4), ilf_type-{F}(V4,V1), P_identity_relation_of-{F}(V4,V5), ilf_type-{F}(V6,V1), ilf_type-{F}(V7,V1), V6 == V7, P_ordered_pair-{F}(V6,V7,V8), ilf_type-{F}(V8,V1), P_ordered_pair-{F}(V8,V2,V9), ilf_type-{F}(V9,V1), P_power_set-{F}(V10,V5), ilf_type-{F}(V10,V1) | pppp19-{T}(V9,V10,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #971: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V16, V15 == V17, V1 == V5; #956 ), references = 1, size of lhs = 19:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_power_set-{F}(V3,V4), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), P_identity_relation_of-{F}(V6,V7), ilf_type-{F}(V7,V1), P_identity_relation_of-{F}(V7,V4), ilf_type-{F}(V8,V1), P_ordered_pair-{F}(V5,V8,V9), ilf_type-{F}(V9,V1), P_ordered_pair-{F}(V9,V2,V10), ilf_type-{F}(V10,V1), ilf_type-{F}(V11,V1), ilf_type-{F}(V12,V1), V11 == V12, P_ordered_pair-{F}(V11,V12,V9) | pppp19-{T}(V10,V3,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #983: mergings( V0 == V4, V1 == V5; #980 ), references = 1, size of lhs = 6:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_power_set-{F}(V2,V3), ilf_type-{F}(V3,V0), P_member_type-{F}(V3,V4) | pppp20-{T}(V4)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #999: mergings( V5 == V12, V10 == V17, V2 == V3, V3 == V4, V4 == V11; #992 ), references = 1, size of lhs = 24:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_relation_type-{F}(V2,V3,V4), P_cross_product-{F}(V2,V3,V5), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V1), P_identity_relation_of_type-{F}(V7,V1), P_relation_type-{F}(V7,V7,V8), ilf_type-{F}(V9,V1), P_subset_type-{F}(V9,V8), P_power_set-{F}(V9,V10), P_member_type-{F}(V10,V4), ilf_type-{F}(V11,V1), P_identity_relation_of-{F}(V11,V12), ilf_type-{F}(V12,V1), P_subset_type-{F}(V12,V6), ilf_type-{F}(V13,V1), ilf_type-{F}(V14,V1), V13 == V14, P_ordered_pair-{F}(V13,V14,V15), ilf_type-{F}(V15,V6), ilf_type-{F}(V15,V1) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1005: mergings( V5 == V12, V10 == V17, V2 == V3, V3 == V4, V4 == V11; #993 ), references = 1, size of lhs = 27:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_relation_type-{F}(V2,V3,V4), P_cross_product-{F}(V2,V3,V5), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V1), P_identity_relation_of_type-{F}(V7,V1), P_relation_type-{F}(V7,V7,V8), ilf_type-{F}(V9,V1), P_subset_type-{F}(V9,V8), P_power_set-{F}(V9,V10), P_member_type-{F}(V10,V4), ilf_type-{F}(V11,V1), ilf_type-{F}(V12,V1), P_identity_relation_of-{F}(V12,V13), ilf_type-{F}(V13,V1), P_subset_type-{F}(V13,V6), ilf_type-{F}(V14,V1), P_ordered_pair-{F}(V11,V14,V15), ilf_type-{F}(V15,V6), ilf_type-{F}(V15,V1), ilf_type-{F}(V16,V1), ilf_type-{F}(V17,V1), V16 == V17, P_ordered_pair-{F}(V16,V17,V15) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1015: mergings( V2 == V9, V9 == V14, V6 == V7, V7 == V8, V8 == V13; #1008 ), references = 2, size of lhs = 26:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_cross_product-{F}(V2,V3,V4), ilf_type-{F}(V4,V1), P_relation_type-{F}(V2,V3,V5), ilf_type-{F}(V6,V1), ilf_type-{F}(V7,V1), P_cross_product-{F}(V6,V7,V4), P_relation_type-{F}(V6,V7,V8), ilf_type-{F}(V9,V1), P_identity_relation_of_type-{F}(V9,V1), P_relation_type-{F}(V9,V9,V10), ilf_type-{F}(V11,V1), P_subset_type-{F}(V11,V10), P_power_set-{F}(V11,V12), P_member_type-{F}(V12,V8), ilf_type-{F}(V13,V1), P_identity_relation_of-{F}(V13,V4), ilf_type-{F}(V14,V1), ilf_type-{F}(V15,V1), V14 == V15, P_ordered_pair-{F}(V14,V15,V16), ilf_type-{F}(V16,V5), ilf_type-{F}(V16,V1) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1021: mergings( V2 == V9, V9 == V14, V6 == V7, V7 == V8, V8 == V13; #1009 ), references = 1, size of lhs = 29:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_cross_product-{F}(V2,V3,V4), ilf_type-{F}(V4,V1), P_relation_type-{F}(V2,V3,V5), ilf_type-{F}(V6,V1), ilf_type-{F}(V7,V1), P_cross_product-{F}(V6,V7,V4), P_relation_type-{F}(V6,V7,V8), ilf_type-{F}(V9,V1), P_identity_relation_of_type-{F}(V9,V1), P_relation_type-{F}(V9,V9,V10), ilf_type-{F}(V11,V1), P_subset_type-{F}(V11,V10), P_power_set-{F}(V11,V12), P_member_type-{F}(V12,V8), ilf_type-{F}(V13,V1), ilf_type-{F}(V14,V1), P_identity_relation_of-{F}(V14,V4), ilf_type-{F}(V15,V1), P_ordered_pair-{F}(V13,V15,V16), ilf_type-{F}(V16,V5), ilf_type-{F}(V16,V1), ilf_type-{F}(V17,V1), ilf_type-{F}(V18,V1), V17 == V18, P_ordered_pair-{F}(V17,V18,V16) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1036: mergings( V11 == V12, V2 == V3, V3 == V4, V4 == V5; #1030 ), references = 1, size of lhs = 19:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of_type-{F}(V2,V1), P_relation_type-{F}(V2,V2,V3), ilf_type-{F}(V4,V1), P_subset_type-{F}(V4,V3), P_power_set-{F}(V4,V5), P_member_type-{F}(V5,V6), ilf_type-{F}(V7,V1), P_identity_relation_of-{F}(V7,V8), ilf_type-{F}(V8,V1), P_subset_type-{F}(V8,V6), ilf_type-{F}(V9,V1), ilf_type-{F}(V10,V1), V9 == V10, P_ordered_pair-{F}(V9,V10,V11), ilf_type-{F}(V11,V6), ilf_type-{F}(V11,V1) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1041: mergings( V11 == V12, V2 == V3, V3 == V4, V4 == V5; #1031 ), references = 1, size of lhs = 22:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of_type-{F}(V2,V1), P_relation_type-{F}(V2,V2,V3), ilf_type-{F}(V4,V1), P_subset_type-{F}(V4,V3), P_power_set-{F}(V4,V5), P_member_type-{F}(V5,V6), ilf_type-{F}(V7,V1), ilf_type-{F}(V8,V1), P_identity_relation_of-{F}(V8,V9), ilf_type-{F}(V9,V1), P_subset_type-{F}(V9,V6), ilf_type-{F}(V10,V1), P_ordered_pair-{F}(V7,V10,V11), ilf_type-{F}(V11,V6), ilf_type-{F}(V11,V1), ilf_type-{F}(V12,V1), ilf_type-{F}(V13,V1), V12 == V13, P_ordered_pair-{F}(V12,V13,V11) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1068: mergings( V6 == V11, V18 == V20, V2 == V3, V3 == V4, V4 == V5, V5 == V19; #1060 ), references = 1, size of lhs = 27:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_relation_type-{F}(V1,V2,V3), P_relation_type-{F}(V4,V4,V3), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_identity_relation_of_type-{F}(V5,V0), P_relation_type-{F}(V5,V5,V6), ilf_type-{F}(V7,V0), P_subset_type-{F}(V7,V6), P_power_set-{F}(V7,V8), P_member_type-{F}(V8,V9), P_identity_relation_of_type-{F}(V4,V9), P_cross_product-{F}(V1,V2,V10), P_subset_type-{F}(V10,V11), P_binary_relation_type-{F}(V12), ilf_type-{F}(V13,V0), P_identity_relation_of-{F}(V13,V14), ilf_type-{F}(V14,V0), P_subset_type-{F}(V14,V11), ilf_type-{F}(V15,V0), ilf_type-{F}(V16,V0), V15 == V16, P_ordered_pair-{F}(V15,V16,V17), ilf_type-{F}(V17,V11), ilf_type-{F}(V17,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1075: mergings( V6 == V11, V18 == V20, V2 == V3, V3 == V4, V4 == V5, V5 == V19; #1061 ), references = 1, size of lhs = 30:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_relation_type-{F}(V1,V2,V3), P_relation_type-{F}(V4,V4,V3), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_identity_relation_of_type-{F}(V5,V0), P_relation_type-{F}(V5,V5,V6), ilf_type-{F}(V7,V0), P_subset_type-{F}(V7,V6), P_power_set-{F}(V7,V8), P_member_type-{F}(V8,V9), P_identity_relation_of_type-{F}(V4,V9), P_cross_product-{F}(V1,V2,V10), P_subset_type-{F}(V10,V11), P_binary_relation_type-{F}(V12), ilf_type-{F}(V13,V0), ilf_type-{F}(V14,V0), P_identity_relation_of-{F}(V14,V15), ilf_type-{F}(V15,V0), P_subset_type-{F}(V15,V11), ilf_type-{F}(V16,V0), P_ordered_pair-{F}(V13,V16,V17), ilf_type-{F}(V17,V11), ilf_type-{F}(V17,V0), ilf_type-{F}(V18,V0), ilf_type-{F}(V19,V0), V18 == V19, P_ordered_pair-{F}(V18,V19,V17) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1086: mergings( V2 == V10, V10 == V15, V6 == V7, V7 == V8, V8 == V9, V9 == V21; #1078 ), references = 1, size of lhs = 29:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V3), P_relation_type-{F}(V5,V6,V7), P_relation_type-{F}(V8,V8,V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_identity_relation_of_type-{F}(V9,V0), P_relation_type-{F}(V9,V9,V10), ilf_type-{F}(V11,V0), P_subset_type-{F}(V11,V10), P_power_set-{F}(V11,V12), P_member_type-{F}(V12,V13), P_identity_relation_of_type-{F}(V8,V13), P_binary_relation_type-{F}(V14), ilf_type-{F}(V15,V0), P_identity_relation_of-{F}(V15,V3), ilf_type-{F}(V16,V0), ilf_type-{F}(V17,V0), V16 == V17, P_ordered_pair-{F}(V16,V17,V18), ilf_type-{F}(V18,V4), ilf_type-{F}(V18,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1093: mergings( V2 == V10, V10 == V15, V6 == V7, V7 == V8, V8 == V9, V9 == V21; #1079 ), references = 1, size of lhs = 32:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V3), P_relation_type-{F}(V5,V6,V7), P_relation_type-{F}(V8,V8,V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_identity_relation_of_type-{F}(V9,V0), P_relation_type-{F}(V9,V9,V10), ilf_type-{F}(V11,V0), P_subset_type-{F}(V11,V10), P_power_set-{F}(V11,V12), P_member_type-{F}(V12,V13), P_identity_relation_of_type-{F}(V8,V13), P_binary_relation_type-{F}(V14), ilf_type-{F}(V15,V0), ilf_type-{F}(V16,V0), P_identity_relation_of-{F}(V16,V3), ilf_type-{F}(V17,V0), P_ordered_pair-{F}(V15,V17,V18), ilf_type-{F}(V18,V4), ilf_type-{F}(V18,V0), ilf_type-{F}(V19,V0), ilf_type-{F}(V20,V0), V19 == V20, P_ordered_pair-{F}(V19,V20,V18) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1107: mergings( V2 == V5, V5 == V11, V11 == V12, V3 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V18, V4 == V17; #1096 ), references = 1, size of lhs = 21:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_identity_relation_of_type-{F}(V3,V0), P_relation_type-{F}(V3,V3,V4), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V4), P_power_set-{F}(V5,V6), P_member_type-{F}(V6,V7), P_identity_relation_of_type-{F}(V1,V7), P_binary_relation_type-{F}(V8), ilf_type-{F}(V9,V0), P_identity_relation_of-{F}(V9,V2), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), V10 == V11, P_ordered_pair-{F}(V10,V11,V12), ilf_type-{F}(V12,V7), ilf_type-{F}(V12,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1117: mergings( V2 == V5, V5 == V11, V11 == V12, V3 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V18, V4 == V17; #1097 ), references = 1, size of lhs = 24:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_identity_relation_of_type-{F}(V3,V0), P_relation_type-{F}(V3,V3,V4), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V4), P_power_set-{F}(V5,V6), P_member_type-{F}(V6,V7), P_identity_relation_of_type-{F}(V1,V7), P_binary_relation_type-{F}(V8), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), P_identity_relation_of-{F}(V10,V2), ilf_type-{F}(V11,V0), P_ordered_pair-{F}(V9,V11,V12), ilf_type-{F}(V12,V7), ilf_type-{F}(V12,V0), ilf_type-{F}(V13,V0), ilf_type-{F}(V14,V0), V13 == V14, P_ordered_pair-{F}(V13,V14,V12) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1173: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V16, V1 == V5; #1164 ), references = 2, size of lhs = 15:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_identity_relation_of-{F}(V3,V4), ilf_type-{F}(V4,V1), P_identity_relation_of-{F}(V4,V5), ilf_type-{F}(V6,V1), ilf_type-{F}(V7,V1), V6 == V7, P_ordered_pair-{F}(V6,V7,V8), ilf_type-{F}(V8,V1), P_ordered_pair-{F}(V8,V2,V9), ilf_type-{F}(V9,V1), member-{F}(V9,V10) | pppp18-{T}(V10,V5,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1181: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V16, V14 == V17, V1 == V5; #1165 ), references = 1, size of lhs = 18:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), ilf_type-{F}(V4,V1), P_identity_relation_of-{F}(V4,V5), ilf_type-{F}(V5,V1), P_identity_relation_of-{F}(V5,V6), ilf_type-{F}(V7,V1), P_ordered_pair-{F}(V3,V7,V8), ilf_type-{F}(V8,V1), P_ordered_pair-{F}(V8,V2,V9), ilf_type-{F}(V9,V1), member-{F}(V9,V10), ilf_type-{F}(V11,V1), ilf_type-{F}(V12,V1), V11 == V12, P_ordered_pair-{F}(V11,V12,V8) | pppp18-{T}(V10,V6,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1207: mergings( V2 == V5, V5 == V8, V3 == V15; #1201 ), references = 2, size of lhs = 20:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of_type-{F}(V1,V2), P_cross_product-{F}(V1,V1,V3), P_subset_type-{F}(V3,V4), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V4), P_power_set-{F}(V5,V6), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_identity_relation_of-{F}(V7,V6), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), V8 == V9, P_ordered_pair-{F}(V8,V9,V10), ilf_type-{F}(V10,V2), ilf_type-{F}(V10,V0), P_binary_relation_type-{F}(V11), P_power_set-{F}(V12,V6), ilf_type-{F}(V12,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1217: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V15, V9 == V12, V10 == V13, V3 == V6, V6 == V14, V4 == V7; #1202 ), references = 2, size of lhs = 28:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of_type-{F}(V2,V3), P_cross_product-{F}(V2,V2,V4), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V1), P_subset_type-{F}(V6,V5), P_power_set-{F}(V6,V7), ilf_type-{F}(V7,V3), ilf_type-{F}(V7,V1), ilf_type-{F}(V8,V1), P_power_set-{F}(V8,V7), P_subset_type-{F}(V8,V5), ilf_type-{F}(V9,V1), P_power_set-{F}(V9,V7), ilf_type-{F}(V10,V1), P_power_set-{F}(V10,V7), ilf_type-{F}(V11,V1), P_identity_relation_of-{F}(V11,V12), P_power_set-{F}(V12,V7), ilf_type-{F}(V12,V1), ilf_type-{F}(V13,V1), ilf_type-{F}(V14,V1), V13 == V14, P_ordered_pair-{F}(V13,V14,V15), ilf_type-{F}(V15,V3), ilf_type-{F}(V15,V1) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1227: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V15, V9 == V12, V10 == V13, V3 == V6, V6 == V14, V4 == V7; #1203 ), references = 1, size of lhs = 31:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of_type-{F}(V2,V3), P_cross_product-{F}(V2,V2,V4), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V1), P_subset_type-{F}(V6,V5), P_power_set-{F}(V6,V7), ilf_type-{F}(V7,V3), ilf_type-{F}(V7,V1), ilf_type-{F}(V8,V1), P_power_set-{F}(V8,V7), P_subset_type-{F}(V8,V5), ilf_type-{F}(V9,V1), P_power_set-{F}(V9,V7), ilf_type-{F}(V10,V1), P_power_set-{F}(V10,V7), ilf_type-{F}(V11,V1), ilf_type-{F}(V12,V1), P_identity_relation_of-{F}(V12,V13), P_power_set-{F}(V13,V7), ilf_type-{F}(V13,V1), ilf_type-{F}(V14,V1), P_ordered_pair-{F}(V11,V14,V15), ilf_type-{F}(V15,V3), ilf_type-{F}(V15,V1), ilf_type-{F}(V16,V1), ilf_type-{F}(V17,V1), V16 == V17, P_ordered_pair-{F}(V16,V17,V15) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1266: mergings( V0 == V4, V4 == V6, V6 == V11, V1 == V5; #1260 ), references = 1, size of lhs = 10:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of-{F}(V2,V3), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), V4 == V5, P_ordered_pair-{F}(V4,V5,V6), ilf_type-{F}(V6,V1), member-{F}(V6,V7) | pppp19-{T}(V7,V3,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1272: mergings( V0 == V4, V4 == V6, V6 == V11, V10 == V12, V1 == V5; #1261 ), references = 1, size of lhs = 13:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_identity_relation_of-{F}(V3,V4), ilf_type-{F}(V5,V1), P_ordered_pair-{F}(V2,V5,V6), ilf_type-{F}(V6,V1), member-{F}(V6,V7), ilf_type-{F}(V8,V1), ilf_type-{F}(V9,V1), V8 == V9, P_ordered_pair-{F}(V8,V9,V6) | pppp19-{T}(V7,V4,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1286: mergings( V3 == V8, V7 == V10, V2 == V9; #1281 ), references = 1, size of lhs = 17:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_relation_type-{F}(V1,V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_binary_relation_type-{F}(V5), ilf_type-{F}(V6,V0), P_identity_relation_of-{F}(V6,V7), ilf_type-{F}(V7,V0), P_subset_type-{F}(V7,V4), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), V8 == V9, P_ordered_pair-{F}(V8,V9,V10), ilf_type-{F}(V10,V4), ilf_type-{F}(V10,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1290: mergings( V3 == V8, V7 == V10, V2 == V9; #1282 ), references = 1, size of lhs = 20:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_relation_type-{F}(V1,V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_binary_relation_type-{F}(V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_identity_relation_of-{F}(V7,V8), ilf_type-{F}(V8,V0), P_subset_type-{F}(V8,V4), ilf_type-{F}(V9,V0), P_ordered_pair-{F}(V6,V9,V10), ilf_type-{F}(V10,V4), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), ilf_type-{F}(V12,V0), V11 == V12, P_ordered_pair-{F}(V11,V12,V10) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1298: mergings( V2 == V7, V7 == V10, V6 == V11; #1293 ), references = 2, size of lhs = 19:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V3), P_relation_type-{F}(V5,V6,V0), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), P_identity_relation_of-{F}(V8,V3), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), V9 == V10, P_ordered_pair-{F}(V9,V10,V11), ilf_type-{F}(V11,V4), ilf_type-{F}(V11,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1302: mergings( V2 == V7, V7 == V10, V6 == V11; #1294 ), references = 2, size of lhs = 22:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V3), P_relation_type-{F}(V5,V6,V0), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_identity_relation_of-{F}(V9,V3), ilf_type-{F}(V10,V0), P_ordered_pair-{F}(V8,V10,V11), ilf_type-{F}(V11,V4), ilf_type-{F}(V11,V0), ilf_type-{F}(V12,V0), ilf_type-{F}(V13,V0), V12 == V13, P_ordered_pair-{F}(V12,V13,V11) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1323: mergings( V2 == V5, V3 == V7, V4 == V5; #1318 ), references = 1, size of lhs = 13:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of_type-{F}(V1,V0), P_cross_product-{F}(V1,V1,V2), ilf_type-{F}(V2,V0), P_binary_relation_type-{F}(V3), ilf_type-{F}(V4,V0), P_identity_relation_of-{F}(V4,V2), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), V5 == V6, P_ordered_pair-{F}(V5,V6,V7), ilf_type-{F}(V7,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1327: mergings( V2 == V5, V3 == V7, V4 == V5; #1319 ), references = 1, size of lhs = 16:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of_type-{F}(V1,V0), P_cross_product-{F}(V1,V1,V2), ilf_type-{F}(V2,V0), P_binary_relation_type-{F}(V3), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_identity_relation_of-{F}(V5,V2), ilf_type-{F}(V6,V0), P_ordered_pair-{F}(V4,V6,V7), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), V8 == V9, P_ordered_pair-{F}(V8,V9,V7) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1382: mergings( V0 == V4, V4 == V6, V6 == V9, V1 == V5, V5 == V7, V7 == V10; #1374 ), references = 1, size of lhs = 9:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), P_binary_relation_type-{F}(V3), ilf_type-{F}(V4,V0), member-{F}(V4,V5), ilf_type-{F}(V5,V0), member-{F}(V5,V6), pppp10-{F}(V7,V1,V4,V8) | pppp19-{T}(V6,V2,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1431: mergings( V0 == V4, V4 == V6, V6 == V9, V1 == V5, V5 == V7, V7 == V10; #1423 ), references = 3, size of lhs = 9:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), P_binary_relation_type-{F}(V3), ilf_type-{F}(V4,V0), member-{F}(V4,V5), ilf_type-{F}(V5,V0), member-{F}(V5,V6), pppp10-{F}(V7,V1,V4,V8) | pppp18-{T}(V6,V2,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1463: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V1 == V5, V5 == V7, V7 == V9; #1453 ), references = 1, size of lhs = 13:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of-{F}(V2,V3), ilf_type-{F}(V3,V1), P_power_set-{F}(V3,V4), ilf_type-{F}(V4,V1), P_power_set-{F}(V5,V4), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), ilf_type-{F}(V7,V1), V6 == V7, P_ordered_pair-{F}(V6,V7,V4) | pppp19-{T}(V4,V5,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1473: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V2 == V16, V1 == V5, V5 == V7, V7 == V9; #1454 ), references = 1, size of lhs = 16:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_power_set-{F}(V2,V3), ilf_type-{F}(V3,V1), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), P_identity_relation_of-{F}(V5,V6), ilf_type-{F}(V6,V1), P_power_set-{F}(V6,V3), ilf_type-{F}(V7,V1), P_ordered_pair-{F}(V4,V7,V3), ilf_type-{F}(V8,V1), ilf_type-{F}(V9,V1), V8 == V9, P_ordered_pair-{F}(V8,V9,V3) | pppp19-{T}(V3,V2,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1529: mergings( V2 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V20, V10 == V12; #1520 ), references = 2, size of lhs = 20:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), ilf_type-{F}(V4,V1), P_identity_relation_of-{F}(V4,V5), ilf_type-{F}(V5,V1), P_power_set-{F}(V5,V6), ilf_type-{F}(V6,V1), pppp0-{F}(V6,V2,V7), ilf_type-{F}(V7,V1), P_ordered_pair-{F}(V2,V7,V8), ilf_type-{F}(V9,V1), ilf_type-{F}(V10,V1), V9 == V10, P_ordered_pair-{F}(V9,V10,V11), ilf_type-{F}(V11,V1), member-{F}(V11,V12), ilf_type-{F}(V12,V1), P_ordered_pair-{F}(V12,V3,V8) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1538: mergings( V2 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V20, V18 == V21, V10 == V12; #1521 ), references = 2, size of lhs = 23:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), P_identity_relation_of-{F}(V5,V6), ilf_type-{F}(V6,V1), P_power_set-{F}(V6,V7), ilf_type-{F}(V7,V1), pppp0-{F}(V7,V2,V8), ilf_type-{F}(V8,V1), P_ordered_pair-{F}(V2,V8,V9), ilf_type-{F}(V10,V1), P_ordered_pair-{F}(V4,V10,V11), ilf_type-{F}(V11,V1), member-{F}(V11,V12), ilf_type-{F}(V12,V1), P_ordered_pair-{F}(V12,V3,V9), ilf_type-{F}(V13,V1), ilf_type-{F}(V14,V1), V13 == V14, P_ordered_pair-{F}(V13,V14,V11) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1557: mergings( V0 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V24, V1 == V5, V5 == V13, V13 == V15; #1543 ), references = 1, size of lhs = 20:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_power_set-{F}(V2,V3), ilf_type-{F}(V3,V1), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), P_identity_relation_of-{F}(V6,V7), ilf_type-{F}(V7,V1), P_power_set-{F}(V7,V3), P_ordered_pair-{F}(V4,V4,V8), ilf_type-{F}(V9,V1), ilf_type-{F}(V10,V1), V9 == V10, P_ordered_pair-{F}(V9,V10,V11), ilf_type-{F}(V11,V1), member-{F}(V11,V12), ilf_type-{F}(V12,V1), P_ordered_pair-{F}(V12,V5,V8) | pppp19-{T}(V4,V2,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1571: mergings( V0 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V24, V22 == V25, V1 == V5, V5 == V13, V13 == V15; #1544 ), references = 1, size of lhs = 23:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_power_set-{F}(V2,V3), ilf_type-{F}(V3,V1), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), P_ordered_pair-{F}(V4,V4,V6), ilf_type-{F}(V7,V1), ilf_type-{F}(V8,V1), P_identity_relation_of-{F}(V8,V9), ilf_type-{F}(V9,V1), P_power_set-{F}(V9,V3), ilf_type-{F}(V10,V1), P_ordered_pair-{F}(V7,V10,V11), ilf_type-{F}(V11,V1), member-{F}(V11,V12), ilf_type-{F}(V12,V1), P_ordered_pair-{F}(V12,V5,V6), ilf_type-{F}(V13,V1), ilf_type-{F}(V14,V1), V13 == V14, P_ordered_pair-{F}(V13,V14,V11) | pppp19-{T}(V4,V2,V1)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1585: mergings( V0 == V3, V1 == V4; #1582 ), references = 1, size of lhs = 3:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp19-{F}(V2,V3,V0) | pppp22-{T}(V2,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1627: exists( #32, #1625 ), references = 3, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp3-{F}(V2,V3), pppp18-{F}(V2,V3,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1630: mergings( V1 == V4; #1628 ), references = 1, size of lhs = 3:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp3-{F}(V2,V3) | pppp2-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1634: mergings( V3 == V11; #1632 ), references = 1, size of lhs = 17:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of_type-{F}(V1,V0), P_cross_product-{F}(V1,V1,V2), P_subset_type-{F}(V2,V3), ilf_type-{F}(V4,V0), P_subset_type-{F}(V4,V3), P_power_set-{F}(V4,V5), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_identity_relation_of-{F}(V6,V5), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), V7 == V8, P_binary_relation_type-{F}(V9), P_power_set-{F}(V10,V5), ilf_type-{F}(V10,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1642: mergings( V3 == V10; #1638 ), references = 1, size of lhs = 16:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_relation_type-{F}(V1,V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V3), P_relation_type-{F}(V4,V5,V0), P_binary_relation_type-{F}(V6), ilf_type-{F}(V7,V0), P_identity_relation_of-{F}(V7,V3), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), V8 == V9 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1644: mergings( V3 == V10; #1639 ), references = 1, size of lhs = 16:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_relation_type-{F}(V1,V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V3), P_relation_type-{F}(V4,V5,V0), P_binary_relation_type-{F}(V6), ilf_type-{F}(V7,V0), P_identity_relation_of-{F}(V7,V3), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), V8 == V9 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1646: mergings( V3 == V4; #1640 ), references = 1, size of lhs = 23:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_relation_type-{F}(V2,V3,V1), P_cross_product-{F}(V2,V3,V4), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), P_cross_product-{F}(V5,V6,V4), P_relation_type-{F}(V5,V6,V7), ilf_type-{F}(V8,V1), P_identity_relation_of_type-{F}(V8,V1), P_relation_type-{F}(V8,V8,V9), ilf_type-{F}(V10,V1), P_subset_type-{F}(V10,V9), P_power_set-{F}(V10,V11), P_member_type-{F}(V11,V7), ilf_type-{F}(V12,V1), P_identity_relation_of-{F}(V12,V4), ilf_type-{F}(V13,V1), ilf_type-{F}(V14,V1), V13 == V14 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1658: mergings( V3 == V4, V4 == V15; #1653 ), references = 1, size of lhs = 22:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of_type-{F}(V1,V0), P_relation_type-{F}(V1,V1,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_relation_type-{F}(V3,V4,V2), P_cross_product-{F}(V3,V4,V5), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V5), P_relation_type-{F}(V6,V7,V8), P_relation_type-{F}(V9,V9,V8), ilf_type-{F}(V9,V0), P_identity_relation_of_type-{F}(V9,V0), P_binary_relation_type-{F}(V10), ilf_type-{F}(V11,V0), P_identity_relation_of-{F}(V11,V5), ilf_type-{F}(V12,V0), ilf_type-{F}(V13,V0), V12 == V13 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1661: mergings( V3 == V4, V4 == V15; #1654 ), references = 1, size of lhs = 22:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of_type-{F}(V1,V0), P_relation_type-{F}(V1,V1,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_relation_type-{F}(V3,V4,V2), P_cross_product-{F}(V3,V4,V5), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V5), P_relation_type-{F}(V6,V7,V8), P_relation_type-{F}(V9,V9,V8), ilf_type-{F}(V9,V0), P_identity_relation_of_type-{F}(V9,V0), P_binary_relation_type-{F}(V10), ilf_type-{F}(V11,V0), P_identity_relation_of-{F}(V11,V5), ilf_type-{F}(V12,V0), ilf_type-{F}(V13,V0), V12 == V13 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1664: mergings( V3 == V4, V4 == V19; #1655 ), references = 1, size of lhs = 27:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of_type-{F}(V1,V0), P_relation_type-{F}(V1,V1,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_relation_type-{F}(V3,V4,V2), P_cross_product-{F}(V3,V4,V5), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V8), P_subset_type-{F}(V8,V9), P_relation_type-{F}(V10,V10,V9), ilf_type-{F}(V10,V0), P_identity_relation_of_type-{F}(V10,V0), P_relation_type-{F}(V6,V7,V11), ilf_type-{F}(V12,V0), ilf_type-{F}(V13,V0), P_relation_type-{F}(V12,V13,V11), P_cross_product-{F}(V12,V13,V5), P_binary_relation_type-{F}(V14), ilf_type-{F}(V15,V0), P_identity_relation_of-{F}(V15,V5), ilf_type-{F}(V16,V0), ilf_type-{F}(V17,V0), V16 == V17 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1685: mergings( V4 == V10, V11 == V13, V2 == V3, V3 == V12; #1678 ), references = 1, size of lhs = 20:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V5,V5,V4), ilf_type-{F}(V5,V0), P_identity_relation_of_type-{F}(V5,V0), P_relation_type-{F}(V1,V2,V6), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), P_identity_relation_of-{F}(V8,V9), ilf_type-{F}(V9,V0), P_subset_type-{F}(V9,V6), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), V10 == V11, P_ordered_pair-{F}(V10,V11,V12), ilf_type-{F}(V12,V6), ilf_type-{F}(V12,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1690: mergings( V4 == V10, V11 == V13, V2 == V3, V3 == V12; #1679 ), references = 1, size of lhs = 23:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V5,V5,V4), ilf_type-{F}(V5,V0), P_identity_relation_of_type-{F}(V5,V0), P_relation_type-{F}(V1,V2,V6), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_identity_relation_of-{F}(V9,V10), ilf_type-{F}(V10,V0), P_subset_type-{F}(V10,V6), ilf_type-{F}(V11,V0), P_ordered_pair-{F}(V8,V11,V12), ilf_type-{F}(V12,V6), ilf_type-{F}(V12,V0), ilf_type-{F}(V13,V0), ilf_type-{F}(V14,V0), V13 == V14, P_ordered_pair-{F}(V13,V14,V12) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1694: mergings( V4 == V10, V2 == V3, V3 == V12; #1680 ), references = 1, size of lhs = 24:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V5,V5,V4), ilf_type-{F}(V5,V0), P_identity_relation_of_type-{F}(V5,V0), P_relation_type-{F}(V1,V2,V6), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), P_identity_relation_of_type-{F}(V8,V6), P_cross_product-{F}(V8,V8,V9), P_subset_type-{F}(V9,V10), ilf_type-{F}(V11,V0), P_identity_relation_of-{F}(V11,V12), P_subset_type-{F}(V12,V10), ilf_type-{F}(V12,V0), ilf_type-{F}(V13,V0), ilf_type-{F}(V14,V0), V13 == V14, P_ordered_pair-{F}(V13,V14,V15), ilf_type-{F}(V15,V6), ilf_type-{F}(V15,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1699: mergings( V4 == V10, V2 == V3, V3 == V12; #1695 ), references = 2, size of lhs = 22:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V5,V5,V4), ilf_type-{F}(V5,V0), P_identity_relation_of_type-{F}(V5,V0), P_relation_type-{F}(V1,V2,V6), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), P_identity_relation_of_type-{F}(V8,V6), P_cross_product-{F}(V8,V8,V9), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), P_identity_relation_of-{F}(V10,V9), ilf_type-{F}(V11,V0), ilf_type-{F}(V12,V0), V11 == V12, P_ordered_pair-{F}(V11,V12,V13), ilf_type-{F}(V13,V6), ilf_type-{F}(V13,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1707: mergings( V5 == V11, V3 == V4, V4 == V18; #1703 ), references = 1, size of lhs = 27:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V5,V5,V4), ilf_type-{F}(V5,V0), P_identity_relation_of_type-{F}(V5,V0), P_relation_type-{F}(V1,V2,V6), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_relation_type-{F}(V7,V8,V6), P_cross_product-{F}(V7,V8,V9), P_subset_type-{F}(V9,V10), P_relation_type-{F}(V11,V11,V10), ilf_type-{F}(V11,V0), P_identity_relation_of_type-{F}(V11,V0), P_binary_relation_type-{F}(V12), ilf_type-{F}(V13,V0), P_identity_relation_of_type-{F}(V13,V6), P_cross_product-{F}(V13,V13,V14), ilf_type-{F}(V14,V0), ilf_type-{F}(V15,V0), P_identity_relation_of-{F}(V15,V14), ilf_type-{F}(V16,V0), ilf_type-{F}(V17,V0), V16 == V17 | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1728: mergings( V0 == V4, V4 == V8, V1 == V5, V5 == V11; #1721 ), references = 1, size of lhs = 12:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), P_power_set-{F}(V3,V2), ilf_type-{F}(V3,V0), P_member_type-{F}(V3,V4), P_subset_type-{F}(V1,V5), ilf_type-{F}(V2,V5), ilf_type-{F}(V6,V0), P_power_set-{F}(V6,V2), P_binary_relation_type-{F}(V7) | pppp20-{T}(V4)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1754: mergings( V3 == V6, V6 == V7, V7 == V8, V8 == V13; #1748 ), references = 2, size of lhs = 14:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of-{F}(V1,V2), ilf_type-{F}(V3,V0), P_identity_relation_of-{F}(V3,V4), ilf_type-{F}(V4,V0), P_identity_relation_of-{F}(V4,V2), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), V5 == V6, P_ordered_pair-{F}(V5,V6,V7), ilf_type-{F}(V7,V0), pppp0-{F}(V1,V7,V8), ilf_type-{F}(V8,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1760: mergings( V3 == V6, V6 == V7, V7 == V8, V8 == V13, V0 == V14; #1749 ), references = 2, size of lhs = 17:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of-{F}(V1,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_identity_relation_of-{F}(V4,V5), ilf_type-{F}(V5,V0), P_identity_relation_of-{F}(V5,V2), ilf_type-{F}(V6,V0), P_ordered_pair-{F}(V3,V6,V7), ilf_type-{F}(V7,V0), pppp0-{F}(V1,V7,V8), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), V9 == V10, P_ordered_pair-{F}(V9,V10,V7) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1799: mergings( V0 == V5, V5 == V10, V10 == V15, V15 == V17, V1 == V6, V6 == V9, V9 == V16, V16 == V18; #1789 ), references = 1, size of lhs = 19:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of_type-{F}(V1,V2), P_relation_type-{F}(V1,V1,V3), ilf_type-{F}(V4,V0), P_identity_relation_of-{F}(V4,V5), P_member_type-{F}(V5,V3), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), V6 == V7, P_ordered_pair-{F}(V6,V7,V8), ilf_type-{F}(V8,V0), member-{F}(V8,V9), P_member_type-{F}(V9,V2), ilf_type-{F}(V9,V0), P_binary_relation_type-{F}(V10), ilf_type-{F}(V11,V0), member-{F}(V11,V5) | empty-{T}(V9)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1840: mergings( V0 == V4, V1 == V5; #1837 ), references = 1, size of lhs = 3:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp18-{F}(V2,V3,V0) | pppp19-{T}(V2,V3,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1893: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #1886 ), references = 12, size of lhs = 8:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), P_member_type-{F}(V2,V3), P_binary_relation_type-{F}(V4), ilf_type-{F}(V5,V0), member-{F}(V5,V2) | ilf_type-{T}(V1,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1898: mergings( V0 == V5, V5 == V9, V1 == V6, V6 == V12; #1887 ), references = 1, size of lhs = 14:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), P_member_type-{F}(V2,V3), P_power_set-{F}(V2,V4), ilf_type-{F}(V4,V0), P_power_set-{F}(V5,V4), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V6), ilf_type-{F}(V4,V6), ilf_type-{F}(V7,V0), P_power_set-{F}(V7,V4), P_binary_relation_type-{F}(V8) | ilf_type-{T}(V1,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1938: mergings( V2 == V7, V7 == V10, V10 == V13, V3 == V8, V8 == V11, V11 == V14; #1929 ), references = 2, size of lhs = 13:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_subset_type-{F}(V1,V2), P_power_set-{F}(V1,V3), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V2), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V3), ilf_type-{F}(V6,V0), P_power_set-{F}(V6,V3), pppp18-{F}(V4,V6,V0), P_binary_relation_type-{F}(V7) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1944: mergings( V2 == V7, V7 == V10, V10 == V12, V3 == V8, V8 == V11; #1930 ), references = 1, size of lhs = 24:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V3), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), P_power_set-{F}(V6,V4), ilf_type-{F}(V7,V1), ilf_type-{F}(V8,V1), P_identity_relation_of-{F}(V8,V9), ilf_type-{F}(V9,V1), P_power_set-{F}(V9,V4), P_ordered_pair-{F}(V5,V5,V10), ilf_type-{F}(V11,V1), ilf_type-{F}(V12,V1), V11 == V12, P_ordered_pair-{F}(V11,V12,V13), ilf_type-{F}(V13,V1), member-{F}(V13,V14), ilf_type-{F}(V14,V1), P_ordered_pair-{F}(V14,V7,V10) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1950: mergings( V2 == V7, V7 == V10, V10 == V12, V3 == V8, V8 == V11; #1931 ), references = 1, size of lhs = 27:
% 207.90/208.10 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), ilf_type-{F}(V4,V1), ilf_type-{F}(V5,V3), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), P_power_set-{F}(V6,V4), ilf_type-{F}(V7,V1), ilf_type-{F}(V8,V1), ilf_type-{F}(V9,V1), P_identity_relation_of-{F}(V9,V10), ilf_type-{F}(V10,V1), P_power_set-{F}(V10,V4), P_ordered_pair-{F}(V5,V5,V11), ilf_type-{F}(V12,V1), P_ordered_pair-{F}(V8,V12,V13), ilf_type-{F}(V13,V1), member-{F}(V13,V14), ilf_type-{F}(V14,V1), P_ordered_pair-{F}(V14,V7,V11), ilf_type-{F}(V15,V1), ilf_type-{F}(V16,V1), V15 == V16, P_ordered_pair-{F}(V15,V16,V13) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1960: mergings( V2 == V6; #1958 ), references = 5, size of lhs = 7:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_subset_type-{F}(V3,V2), ilf_type-{F}(V3,V0), pppp18-{F}(V1,V3,V0), P_binary_relation_type-{F}(V4) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1981: mergings( V2 == V6, V6 == V10, V10 == V15, V15 == V20, V4 == V7, V7 == V22; #1974 ), references = 2, size of lhs = 23:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V8), P_subset_type-{F}(V8,V5), P_relation_type-{F}(V6,V7,V9), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), P_cross_product-{F}(V10,V11,V12), P_subset_type-{F}(V12,V9), P_relation_type-{F}(V10,V11,V13), P_subset_type-{F}(V14,V13), ilf_type-{F}(V14,V0), pppp18-{F}(V3,V14,V0), P_binary_relation_type-{F}(V15) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #1994: mergings( V2 == V6, V6 == V10, V10 == V15, V4 == V7, V7 == V17; #1988 ), references = 1, size of lhs = 18:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_relation_type-{F}(V6,V7,V5), P_cross_product-{F}(V6,V7,V8), P_subset_type-{F}(V8,V9), P_subset_type-{F}(V10,V9), ilf_type-{F}(V10,V0), pppp18-{F}(V3,V10,V0), P_binary_relation_type-{F}(V11) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2001: mergings( V2 == V7, V7 == V11, V11 == V14, V5 == V8, V8 == V15; #1995 ), references = 3, size of lhs = 16:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_relation_type-{F}(V6,V7,V5), P_cross_product-{F}(V6,V7,V8), ilf_type-{F}(V8,V0), pppp18-{F}(V3,V8,V0), P_binary_relation_type-{F}(V9) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2011: mergings( V2 == V7; #2009 ), references = 6, size of lhs = 10:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V4), ilf_type-{F}(V5,V0), pppp18-{F}(V5,V3,V0), P_binary_relation_type-{F}(V6) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2018: mergings( V4 == V9; #2016 ), references = 4, size of lhs = 14:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp18-{F}(V2,V1,V0), ilf_type-{F}(V2,V0), P_power_set-{F}(V1,V3), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V3), P_relation_type-{F}(V4,V5,V6), P_binary_relation_type-{F}(V7), member-{F}(V2,V8), ilf_type-{F}(V8,V0), ilf_type-{F}(V8,V6) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2025: mergings( V0 == V4, V4 == V7, V1 == V5, V5 == V13; #2020 ), references = 2, size of lhs = 15:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_relation_type-{F}(V6,V7,V5), P_cross_product-{F}(V6,V7,V8), ilf_type-{F}(V8,V0), pppp18-{F}(V3,V8,V0), P_binary_relation_type-{F}(V9) | pppp19-{T}(V3,V1,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2047: mergings( V4 == V12; #2045 ), references = 1, size of lhs = 20:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp18-{F}(V2,V1,V0), ilf_type-{F}(V2,V0), P_power_set-{F}(V1,V3), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), member-{F}(V4,V5), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_power_set-{F}(V6,V5), P_subset_type-{F}(V6,V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_relation_type-{F}(V8,V9,V7), P_cross_product-{F}(V8,V9,V3), P_binary_relation_type-{F}(V10), member-{F}(V2,V11), ilf_type-{F}(V11,V0), member-{F}(V11,V5) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2076: mergings( V2 == V6, V6 == V10, V10 == V15, V4 == V7, V7 == V19; #2069 ), references = 3, size of lhs = 21:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V8), P_subset_type-{F}(V8,V5), P_relation_type-{F}(V6,V7,V9), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), P_relation_type-{F}(V10,V11,V9), P_cross_product-{F}(V10,V11,V12), ilf_type-{F}(V12,V0), pppp18-{F}(V3,V12,V0), P_binary_relation_type-{F}(V13) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2082: mergings( V2 == V5, V5 == V9, V9 == V14, V3 == V6, V6 == V20; #2070 ), references = 2, size of lhs = 25:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_power_set-{F}(V3,V2), P_subset_type-{F}(V3,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V7), P_subset_type-{F}(V7,V4), P_relation_type-{F}(V5,V6,V8), ilf_type-{F}(V9,V0), pppp18-{F}(V10,V9,V0), ilf_type-{F}(V10,V0), P_power_set-{F}(V9,V11), ilf_type-{F}(V11,V0), ilf_type-{F}(V12,V0), ilf_type-{F}(V13,V0), P_cross_product-{F}(V12,V13,V11), P_relation_type-{F}(V12,V13,V8), P_binary_relation_type-{F}(V14), member-{F}(V10,V15), member-{F}(V15,V2), ilf_type-{F}(V15,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2194: exists( #41, #2192 ), references = 2, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp2-{F}(V2,V3), pppp19-{F}(V2,V3,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2211: mergings( V2 == V3, V3 == V10; #2208 ), references = 1, size of lhs = 12:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_relation_type-{F}(V2,V3,V4), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), pppp18-{F}(V1,V5,V0), P_binary_relation_type-{F}(V6), pppp2-{F}(V1,V7), P_subset_type-{F}(V7,V4), ilf_type-{F}(V7,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2220: mergings( V1 == V4; #2218 ), references = 2, size of lhs = 3:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp2-{F}(V2,V3) | pppp3-{T}(V2,V3)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2241: mergings( V3 == V5, V2 == V4, V4 == V16; #2236 ), references = 1, size of lhs = 21:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V1,V2,V5), ilf_type-{F}(V6,V0), pppp18-{F}(V7,V6,V0), ilf_type-{F}(V7,V0), P_power_set-{F}(V6,V8), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), P_cross_product-{F}(V9,V10,V8), P_relation_type-{F}(V9,V10,V5), P_binary_relation_type-{F}(V11), member-{F}(V7,V12), ilf_type-{F}(V12,V0), pppp3-{F}(V12,V13), P_subset_type-{F}(V13,V4), ilf_type-{F}(V13,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2245: mergings( V3 == V6, V2 == V4, V4 == V15; #2237 ), references = 2, size of lhs = 17:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1,V2), ilf_type-{F}(V2,V0), P_subset_type-{F}(V2,V3), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V6), P_subset_type-{F}(V6,V3), P_relation_type-{F}(V4,V5,V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_relation_type-{F}(V8,V9,V7), P_cross_product-{F}(V8,V9,V10), ilf_type-{F}(V10,V0), pppp18-{F}(V1,V10,V0), P_binary_relation_type-{F}(V11) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2251: mergings( V3 == V5, V2 == V4, V4 == V14; #2246 ), references = 2, size of lhs = 19:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), pppp18-{F}(V6,V5,V0), ilf_type-{F}(V6,V0), P_power_set-{F}(V5,V7), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_cross_product-{F}(V8,V9,V7), P_relation_type-{F}(V8,V9,V4), P_binary_relation_type-{F}(V10), member-{F}(V6,V11), ilf_type-{F}(V11,V0), pppp3-{F}(V11,V3) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2255: mergings( V3 == V6, V2 == V4, V4 == V13; #2247 ), references = 1, size of lhs = 15:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_cross_product-{F}(V3,V4,V2), P_relation_type-{F}(V3,V4,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_relation_type-{F}(V6,V7,V5), P_cross_product-{F}(V6,V7,V8), ilf_type-{F}(V8,V0), pppp18-{F}(V1,V8,V0), P_binary_relation_type-{F}(V9) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2267: mergings( V3 == V4, V4 == V5, V5 == V18; #2263 ), references = 1, size of lhs = 26:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), P_member_type-{F}(V2,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_identity_relation_of-{F}(V3,V4), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), V5 == V6, ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_cross_product-{F}(V7,V8,V9), ilf_type-{F}(V9,V0), P_relation_type-{F}(V7,V8,V10), P_power_set-{F}(V4,V11), ilf_type-{F}(V11,V0), ilf_type-{F}(V12,V0), ilf_type-{F}(V13,V0), P_cross_product-{F}(V12,V13,V11), P_relation_type-{F}(V12,V13,V10), P_binary_relation_type-{F}(V14), member-{F}(V2,V15), ilf_type-{F}(V15,V0), pppp3-{F}(V15,V9) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2287: mergings( V3 == V6, V2 == V4, V4 == V17; #2283 ), references = 1, size of lhs = 19:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1,V2), ilf_type-{F}(V2,V0), P_subset_type-{F}(V2,V3), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V6), P_subset_type-{F}(V6,V3), P_relation_type-{F}(V4,V5,V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_cross_product-{F}(V8,V9,V10), P_subset_type-{F}(V10,V7), P_relation_type-{F}(V8,V9,V11), P_subset_type-{F}(V12,V11), ilf_type-{F}(V12,V0), pppp18-{F}(V1,V12,V0), P_binary_relation_type-{F}(V13) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2347: mergings( V7 == V8; #2344 ), references = 1, size of lhs = 12:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1,V2), ilf_type-{F}(V2,V0), P_subset_type-{F}(V2,V3), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V6), P_subset_type-{F}(V6,V3), ilf_type-{F}(V6,V0), pppp18-{F}(V1,V6,V0), P_binary_relation_type-{F}(V7) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2349: mergings( V9 == V10; #2345 ), references = 1, size of lhs = 16:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V8), P_subset_type-{F}(V8,V5), ilf_type-{F}(V8,V0), pppp18-{F}(V3,V8,V0), P_binary_relation_type-{F}(V9) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2354: mergings( V1 == V7; #2350 ), references = 1, size of lhs = 11:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_relation_type-{F}(V2,V3,V4), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), P_binary_relation_type-{F}(V6), pppp2-{F}(V1,V7), P_subset_type-{F}(V7,V4), ilf_type-{F}(V7,V0) | pppp2-{T}(V1,V5)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2425: mergings( V2 == V6, V6 == V8, V8 == V10, V9 == V19; #2418 ), references = 1, size of lhs = 22:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), pppp0-{F}(V2,V1,V3), ilf_type-{F}(V3,V0), P_ordered_pair-{F}(V1,V3,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_identity_relation_of-{F}(V7,V8), ilf_type-{F}(V8,V0), P_identity_relation_of-{F}(V8,V9), pppp3-{F}(V2,V9), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), V10 == V11, P_ordered_pair-{F}(V10,V11,V12), ilf_type-{F}(V12,V0), P_ordered_pair-{F}(V12,V6,V13), ilf_type-{F}(V13,V0), P_ordered_pair-{F}(V13,V5,V4), P_binary_relation_type-{F}(V14) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2431: mergings( V2 == V6, V6 == V8, V8 == V9, V9 == V12, V0 == V13; #2419 ), references = 1, size of lhs = 22:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_identity_relation_of-{F}(V3,V5), ilf_type-{F}(V5,V0), pppp0-{F}(V5,V1,V6), ilf_type-{F}(V6,V0), P_ordered_pair-{F}(V1,V6,V7), ilf_type-{F}(V8,V0), P_identity_relation_of-{F}(V8,V9), ilf_type-{F}(V9,V0), P_identity_relation_of-{F}(V9,V5), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), V10 == V11, P_ordered_pair-{F}(V10,V11,V12), ilf_type-{F}(V12,V0), P_ordered_pair-{F}(V12,V4,V13), ilf_type-{F}(V13,V0), P_ordered_pair-{F}(V13,V2,V7) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2437: mergings( V2 == V6, V6 == V8, V8 == V9, V9 == V12, V0 == V13; #2420 ), references = 1, size of lhs = 25:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_identity_relation_of-{F}(V3,V5), ilf_type-{F}(V5,V0), pppp0-{F}(V5,V1,V6), ilf_type-{F}(V6,V0), P_ordered_pair-{F}(V1,V6,V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_identity_relation_of-{F}(V9,V10), ilf_type-{F}(V10,V0), P_identity_relation_of-{F}(V10,V5), ilf_type-{F}(V11,V0), P_ordered_pair-{F}(V8,V11,V12), ilf_type-{F}(V12,V0), P_ordered_pair-{F}(V12,V4,V13), ilf_type-{F}(V13,V0), P_ordered_pair-{F}(V13,V2,V7), ilf_type-{F}(V14,V0), ilf_type-{F}(V15,V0), V14 == V15, P_ordered_pair-{F}(V14,V15,V12) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2564: mergings( V2 == V6, V6 == V10, V10 == V14, V4 == V7, V7 == V11, V11 == V18; #2557 ), references = 1, size of lhs = 19:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V0), P_identity_relation_of_type-{F}(V6,V5), P_relation_type-{F}(V6,V6,V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_relation_type-{F}(V8,V9,V7), P_cross_product-{F}(V8,V9,V10), ilf_type-{F}(V10,V0), pppp18-{F}(V3,V10,V0), P_binary_relation_type-{F}(V11) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2572: mergings( V2 == V7, V7 == V11, V11 == V13, V5 == V8, V8 == V12, V12 == V15; #2565 ), references = 1, size of lhs = 15:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), P_identity_relation_of_type-{F}(V6,V5), ilf_type-{F}(V6,V0), P_cross_product-{F}(V6,V6,V7), ilf_type-{F}(V7,V0), pppp18-{F}(V3,V7,V0), P_binary_relation_type-{F}(V8) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2594: mergings( V0 == V4, V1 == V9; #2589 ), references = 1, size of lhs = 11:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_subset_type-{F}(V2,V3), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V6), P_subset_type-{F}(V6,V3), ilf_type-{F}(V6,V0), pppp18-{F}(V1,V6,V0), P_binary_relation_type-{F}(V7) | pppp19-{T}(V1,V2,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2597: mergings( V0 == V4, V1 == V11; #2590 ), references = 1, size of lhs = 14:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), ilf_type-{F}(V4,V0), P_relation_type-{F}(V2,V3,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_relation_type-{F}(V6,V7,V5), P_cross_product-{F}(V6,V7,V8), ilf_type-{F}(V8,V0), pppp18-{F}(V1,V8,V0), P_binary_relation_type-{F}(V9) | pppp19-{T}(V1,V4,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2661: mergings( V0 == V4, V1 == V9; #2656 ), references = 1, size of lhs = 11:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_subset_type-{F}(V2,V3), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V6), P_subset_type-{F}(V6,V3), ilf_type-{F}(V6,V0), pppp18-{F}(V1,V6,V0), P_binary_relation_type-{F}(V7) | pppp19-{T}(V1,V2,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2664: mergings( V0 == V4, V1 == V11; #2657 ), references = 1, size of lhs = 14:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), ilf_type-{F}(V4,V0), P_relation_type-{F}(V2,V3,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_relation_type-{F}(V6,V7,V5), P_cross_product-{F}(V6,V7,V8), ilf_type-{F}(V8,V0), pppp18-{F}(V1,V8,V0), P_binary_relation_type-{F}(V9) | pppp19-{T}(V1,V4,V0)
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2729: mergings( V2 == V5, V5 == V9, V9 == V14, V14 == V18, V3 == V6, V6 == V15, V15 == V24; #2719 ), references = 3, size of lhs = 28:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_power_set-{F}(V3,V2), P_subset_type-{F}(V3,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V7), P_subset_type-{F}(V7,V4), P_relation_type-{F}(V5,V6,V8), ilf_type-{F}(V9,V0), P_identity_relation_of_type-{F}(V9,V8), P_relation_type-{F}(V9,V9,V10), ilf_type-{F}(V11,V0), pppp18-{F}(V12,V11,V0), ilf_type-{F}(V12,V0), P_power_set-{F}(V11,V13), ilf_type-{F}(V13,V0), ilf_type-{F}(V14,V0), ilf_type-{F}(V15,V0), P_cross_product-{F}(V14,V15,V13), P_relation_type-{F}(V14,V15,V10), P_binary_relation_type-{F}(V16), member-{F}(V12,V17), member-{F}(V17,V2), ilf_type-{F}(V17,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2737: mergings( V2 == V6, V6 == V10, V10 == V15, V15 == V19, V4 == V7, V7 == V16, V16 == V23; #2720 ), references = 2, size of lhs = 24:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V8), P_subset_type-{F}(V8,V5), P_relation_type-{F}(V6,V7,V9), ilf_type-{F}(V10,V0), P_identity_relation_of_type-{F}(V10,V9), P_relation_type-{F}(V10,V10,V11), ilf_type-{F}(V12,V0), ilf_type-{F}(V13,V0), P_relation_type-{F}(V12,V13,V11), P_cross_product-{F}(V12,V13,V14), ilf_type-{F}(V14,V0), pppp18-{F}(V3,V14,V0), P_binary_relation_type-{F}(V15) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2743: mergings( V2 == V6, V6 == V10, V10 == V15, V4 == V7, V7 == V17; #2721 ), references = 2, size of lhs = 18:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V8), P_subset_type-{F}(V8,V5), P_relation_type-{F}(V6,V7,V9), P_subset_type-{F}(V10,V9), ilf_type-{F}(V10,V0), pppp18-{F}(V3,V10,V0), P_binary_relation_type-{F}(V11) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2759: mergings( V3 == V5, V2 == V4, V4 == V18; #2753 ), references = 2, size of lhs = 24:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V1,V2,V5), ilf_type-{F}(V6,V0), P_identity_relation_of_type-{F}(V6,V5), P_relation_type-{F}(V6,V6,V7), ilf_type-{F}(V8,V0), pppp18-{F}(V9,V8,V0), ilf_type-{F}(V9,V0), P_power_set-{F}(V8,V10), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), ilf_type-{F}(V12,V0), P_cross_product-{F}(V11,V12,V10), P_relation_type-{F}(V11,V12,V7), P_binary_relation_type-{F}(V13), member-{F}(V9,V14), ilf_type-{F}(V14,V0), pppp3-{F}(V14,V15), P_subset_type-{F}(V15,V4), ilf_type-{F}(V15,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2763: mergings( V3 == V6, V2 == V4, V4 == V17; #2754 ), references = 1, size of lhs = 20:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1,V2), ilf_type-{F}(V2,V0), P_subset_type-{F}(V2,V3), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V6), P_subset_type-{F}(V6,V3), P_relation_type-{F}(V4,V5,V7), ilf_type-{F}(V8,V0), P_identity_relation_of_type-{F}(V8,V7), P_relation_type-{F}(V8,V8,V9), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), P_relation_type-{F}(V10,V11,V9), P_cross_product-{F}(V10,V11,V12), ilf_type-{F}(V12,V0), pppp18-{F}(V1,V12,V0), P_binary_relation_type-{F}(V13) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2767: mergings( V3 == V6, V2 == V4, V4 == V13; #2755 ), references = 1, size of lhs = 14:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1,V2), ilf_type-{F}(V2,V0), P_subset_type-{F}(V2,V3), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V6), P_subset_type-{F}(V6,V3), P_relation_type-{F}(V4,V5,V7), P_subset_type-{F}(V8,V7), ilf_type-{F}(V8,V0), pppp18-{F}(V1,V8,V0), P_binary_relation_type-{F}(V9) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2774: mergings( V3 == V5, V2 == V4, V4 == V16; #2768 ), references = 3, size of lhs = 22:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), P_identity_relation_of_type-{F}(V5,V4), P_relation_type-{F}(V5,V5,V6), ilf_type-{F}(V7,V0), pppp18-{F}(V8,V7,V0), ilf_type-{F}(V8,V0), P_power_set-{F}(V7,V9), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), P_cross_product-{F}(V10,V11,V9), P_relation_type-{F}(V10,V11,V6), P_binary_relation_type-{F}(V12), member-{F}(V8,V13), ilf_type-{F}(V13,V0), pppp3-{F}(V13,V3) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2778: mergings( V3 == V6, V2 == V4, V4 == V15; #2769 ), references = 2, size of lhs = 18:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_cross_product-{F}(V3,V4,V2), P_relation_type-{F}(V3,V4,V5), ilf_type-{F}(V6,V0), P_identity_relation_of_type-{F}(V6,V5), P_relation_type-{F}(V6,V6,V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_relation_type-{F}(V8,V9,V7), P_cross_product-{F}(V8,V9,V10), ilf_type-{F}(V10,V0), pppp18-{F}(V1,V10,V0), P_binary_relation_type-{F}(V11) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2782: mergings( V3 == V6, V2 == V4, V4 == V11; #2770 ), references = 2, size of lhs = 12:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_cross_product-{F}(V3,V4,V2), P_relation_type-{F}(V3,V4,V5), P_subset_type-{F}(V6,V5), ilf_type-{F}(V6,V0), pppp18-{F}(V1,V6,V0), P_binary_relation_type-{F}(V7) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2798: mergings( V3 == V4, V4 == V5, V5 == V20; #2794 ), references = 1, size of lhs = 29:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), P_member_type-{F}(V2,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_identity_relation_of-{F}(V3,V4), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), V5 == V6, ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_cross_product-{F}(V7,V8,V9), ilf_type-{F}(V9,V0), P_relation_type-{F}(V7,V8,V10), ilf_type-{F}(V11,V0), P_identity_relation_of_type-{F}(V11,V10), P_relation_type-{F}(V11,V11,V12), P_power_set-{F}(V4,V13), ilf_type-{F}(V13,V0), ilf_type-{F}(V14,V0), ilf_type-{F}(V15,V0), P_cross_product-{F}(V14,V15,V13), P_relation_type-{F}(V14,V15,V12), P_binary_relation_type-{F}(V16), member-{F}(V2,V17), ilf_type-{F}(V17,V0), pppp3-{F}(V17,V9) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2803: mergings( V2 == V3, V3 == V4, V4 == V17; #2799 ), references = 1, size of lhs = 25:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), P_member_type-{F}(V2,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_identity_relation_of-{F}(V3,V4), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), V5 == V6, ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_cross_product-{F}(V7,V8,V9), ilf_type-{F}(V9,V0), P_relation_type-{F}(V7,V8,V10), P_identity_relation_of_type-{F}(V11,V10), ilf_type-{F}(V11,V0), P_power_set-{F}(V4,V12), ilf_type-{F}(V12,V0), P_cross_product-{F}(V11,V11,V12), P_binary_relation_type-{F}(V13), member-{F}(V2,V14), ilf_type-{F}(V14,V0), pppp3-{F}(V14,V9) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2818: mergings( V5 == V8, V8 == V11, V3 == V4, V4 == V9, V9 == V10, V10 == V18; #2811 ), references = 1, size of lhs = 19:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of-{F}(V1,V2), P_member_type-{F}(V2,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), V3 == V4, ilf_type-{F}(V5,V0), member-{F}(V5,V6), ilf_type-{F}(V6,V0), pppp3-{F}(V6,V7), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_cross_product-{F}(V8,V9,V7), P_relation_type-{F}(V8,V9,V10), P_subset_type-{F}(V2,V10), P_binary_relation_type-{F}(V11) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2856: exists( #80, #2774 ), references = 1, size of lhs = 18:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), P_identity_relation_of_type-{F}(V5,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), pppp18-{F}(V7,V6,V0), ilf_type-{F}(V7,V0), P_power_set-{F}(V6,V8), ilf_type-{F}(V8,V0), P_cross_product-{F}(V5,V5,V8), P_binary_relation_type-{F}(V9), member-{F}(V7,V10), ilf_type-{F}(V10,V0), pppp3-{F}(V10,V3) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2857: exists( #80, #2759 ), references = 1, size of lhs = 20:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V1,V2,V5), P_identity_relation_of_type-{F}(V6,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), pppp18-{F}(V8,V7,V0), ilf_type-{F}(V8,V0), P_power_set-{F}(V7,V9), ilf_type-{F}(V9,V0), P_cross_product-{F}(V6,V6,V9), P_binary_relation_type-{F}(V10), member-{F}(V8,V11), ilf_type-{F}(V11,V0), pppp3-{F}(V11,V12), P_subset_type-{F}(V12,V4), ilf_type-{F}(V12,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2858: exists( #80, #2729 ), references = 1, size of lhs = 24:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_power_set-{F}(V3,V2), P_subset_type-{F}(V3,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V7), P_subset_type-{F}(V7,V4), P_relation_type-{F}(V5,V6,V8), P_identity_relation_of_type-{F}(V9,V8), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), pppp18-{F}(V11,V10,V0), ilf_type-{F}(V11,V0), P_power_set-{F}(V10,V12), ilf_type-{F}(V12,V0), P_cross_product-{F}(V9,V9,V12), P_binary_relation_type-{F}(V13), member-{F}(V11,V14), member-{F}(V14,V2), ilf_type-{F}(V14,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2896: exists( #80, #2778 ), references = 1, size of lhs = 14:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_cross_product-{F}(V3,V4,V2), P_relation_type-{F}(V3,V4,V5), P_identity_relation_of_type-{F}(V6,V5), ilf_type-{F}(V6,V0), P_cross_product-{F}(V6,V6,V7), ilf_type-{F}(V7,V0), pppp18-{F}(V1,V7,V0), P_binary_relation_type-{F}(V8) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2908: mergings( V2 == V5, V5 == V8, V6 == V14; #2903 ), references = 1, size of lhs = 18:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V1,V2), P_subset_type-{F}(V2,V3), P_identity_relation_of_type-{F}(V1,V4), ilf_type-{F}(V5,V0), pppp18-{F}(V6,V5,V0), ilf_type-{F}(V6,V0), P_power_set-{F}(V5,V7), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_cross_product-{F}(V8,V9,V7), P_relation_type-{F}(V8,V9,V4), P_binary_relation_type-{F}(V10), member-{F}(V6,V11), ilf_type-{F}(V11,V3), ilf_type-{F}(V11,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2912: mergings( V2 == V6, V6 == V9, V7 == V13; #2904 ), references = 1, size of lhs = 14:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V1,V2), P_subset_type-{F}(V2,V3), ilf_type-{F}(V4,V3), ilf_type-{F}(V4,V0), P_identity_relation_of_type-{F}(V1,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_relation_type-{F}(V6,V7,V5), P_cross_product-{F}(V6,V7,V8), ilf_type-{F}(V8,V0), pppp18-{F}(V4,V8,V0), P_binary_relation_type-{F}(V9) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2959: mergings( V2 == V5, V3 == V6; #2954 ), references = 1, size of lhs = 13:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), P_binary_relation_type-{F}(V3), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), P_identity_relation_of_type-{F}(V6,V5), pppp17-{F}(V6,V7), P_identity_relation_of-{F}(V6,V8), member-{F}(V8,V2), ilf_type-{F}(V8,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2964: mergings( V2 == V5, V5 == V9, V3 == V6, V6 == V12; #2955 ), references = 1, size of lhs = 17:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_power_set-{F}(V3,V2), P_subset_type-{F}(V3,V4), ilf_type-{F}(V5,V0), P_cross_product-{F}(V5,V5,V6), P_subset_type-{F}(V6,V4), P_binary_relation_type-{F}(V7), P_identity_relation_of_type-{F}(V5,V8), P_identity_relation_of_type-{F}(V9,V8), pppp17-{F}(V9,V10), P_identity_relation_of-{F}(V9,V11), member-{F}(V11,V2), ilf_type-{F}(V11,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2969: mergings( V2 == V5, V5 == V9, V3 == V6, V6 == V14; #2956 ), references = 1, size of lhs = 20:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_power_set-{F}(V3,V2), P_subset_type-{F}(V3,V4), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_relation_type-{F}(V5,V6,V4), P_cross_product-{F}(V5,V6,V7), ilf_type-{F}(V8,V0), P_cross_product-{F}(V8,V8,V7), P_binary_relation_type-{F}(V9), P_identity_relation_of_type-{F}(V8,V10), P_identity_relation_of_type-{F}(V11,V10), pppp17-{F}(V11,V12), P_identity_relation_of-{F}(V11,V13), member-{F}(V13,V2), ilf_type-{F}(V13,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2984: mergings( V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V8; #2976 ), references = 1, size of lhs = 9:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_subset_type-{F}(V2,V3), P_identity_relation_of_type-{F}(V4,V3), pppp17-{F}(V4,V5), P_identity_relation_of-{F}(V4,V6), ilf_type-{F}(V6,V0), pppp3-{F}(V6,V2) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #2992: mergings( V3 == V5, V5 == V7, V7 == V10, V2 == V4, V4 == V6, V6 == V8, V8 == V13; #2977 ), references = 1, size of lhs = 13:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V1,V2), P_subset_type-{F}(V2,V3), P_binary_relation_type-{F}(V4), P_identity_relation_of_type-{F}(V1,V5), P_identity_relation_of_type-{F}(V6,V5), pppp17-{F}(V6,V7), P_identity_relation_of-{F}(V6,V8), ilf_type-{F}(V8,V0), pppp3-{F}(V8,V9), P_subset_type-{F}(V9,V3), ilf_type-{F}(V9,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #3000: mergings( V3 == V5, V5 == V7, V7 == V10, V2 == V4, V4 == V6, V6 == V8, V8 == V15; #2978 ), references = 1, size of lhs = 16:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_relation_type-{F}(V1,V2,V3), P_cross_product-{F}(V1,V2,V4), ilf_type-{F}(V5,V0), P_cross_product-{F}(V5,V5,V4), P_binary_relation_type-{F}(V6), P_identity_relation_of_type-{F}(V5,V7), P_identity_relation_of_type-{F}(V8,V7), pppp17-{F}(V8,V9), P_identity_relation_of-{F}(V8,V10), ilf_type-{F}(V10,V0), pppp3-{F}(V10,V11), P_subset_type-{F}(V11,V3), ilf_type-{F}(V11,V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #3009: mergings( V3 == V5, V5 == V7, V7 == V9, V2 == V4, V4 == V6, V6 == V8, V8 == V11; #3001 ), references = 2, size of lhs = 11:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V1,V2), ilf_type-{F}(V2,V0), P_binary_relation_type-{F}(V3), P_identity_relation_of_type-{F}(V1,V4), P_identity_relation_of_type-{F}(V5,V4), pppp17-{F}(V5,V6), P_identity_relation_of-{F}(V5,V7), ilf_type-{F}(V7,V0), pppp3-{F}(V7,V2) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #3046: mergings( V3 == V6, V6 == V8, V2 == V5, V5 == V7, V7 == V9; #3040 ), references = 1, size of lhs = 9:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of-{F}(V1,V2), ilf_type-{F}(V2,V0), P_binary_relation_type-{F}(V3), P_identity_relation_of_type-{F}(V1,V4), P_identity_relation_of_type-{F}(V5,V4), P_identity_relation_of-{F}(V5,V2), pppp17-{F}(V5,V6) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #3053: mergings( V3 == V6, V6 == V8, V2 == V5, V5 == V7, V7 == V9; #3047 ), references = 2, size of lhs = 6:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_binary_relation_type-{F}(V2), P_identity_relation_of-{F}(V1,V3), ilf_type-{F}(V3,V0), pppp17-{F}(V1,V4) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #3057: mergings( V2 == V4; #3055 ), references = 2, size of lhs = 4:
% 207.90/208.10 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_binary_relation_type-{F}(V2), pppp17-{F}(V1,V3) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #3063: mergings( V0 == V4, V1 == V3, V3 == V5; #3059 ), references = 1, size of lhs = 2:
% 207.90/208.10 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #3066: mergings( V1 == V2; #3064 ), references = 1, size of lhs = 1:
% 207.90/208.10 P_set_type-{F}(V0) | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 #3068: exists( #77, #3064 ), references = 1, size of lhs = 0:
% 207.90/208.10 FALSE | FALSE
% 207.90/208.10 (used 0 times, uses = {})
% 207.90/208.10
% 207.90/208.10 number of learnt formulas = 170
% 207.90/208.10
% 207.90/208.10
% 207.90/208.10 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 207.90/208.10
% 207.90/208.10 randbase = 1
%------------------------------------------------------------------------------