TSTP Solution File: SET647+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET647+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:16:32 EDT 2022
% Result : Theorem 32.08s 32.25s
% Output : Refutation 32.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET647+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 01:47:27 EDT 2022
% 0.13/0.33 % CPUTime :
% 32.08/32.25 GeoParameters:
% 32.08/32.25
% 32.08/32.25 tptp_input = 1
% 32.08/32.25 tptp_output = 0
% 32.08/32.25 nonempty = 1
% 32.08/32.25 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.08/32.25 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 32.08/32.25
% 32.08/32.25
% 32.08/32.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.08/32.25 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.08/32.25
% 32.08/32.25 RuleSystem INPUT:
% 32.08/32.25
% 32.08/32.25 Initial Rules:
% 32.08/32.25 #0: input, references = 9, size of lhs = 6:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), subset-{F}(V1,V2), ilf_type-{F}(V3,V0), subset-{F}(V2,V3) | subset-{T}(V1,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #1: input, references = 6, size of lhs = 6:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_domain_of-{F}(V2,V3), P_range_of-{F}(V2,V4), P_cross_product-{F}(V3,V4,V5), ilf_type-{F}(V2,V1) | subset-{T}(V2,V5)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #2: input, references = 10, size of lhs = 10:
% 32.08/32.25 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), P_cross_product-{F}(V2,V4,V5), P_cross_product-{F}(V3,V4,V6), P_cross_product-{F}(V4,V2,V7), P_cross_product-{F}(V4,V3,V8), ilf_type-{F}(V4,V0) | subset-{T}(V5,V6)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #3: input, references = 8, size of lhs = 10:
% 32.08/32.25 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), P_cross_product-{F}(V2,V4,V5), P_cross_product-{F}(V3,V4,V6), P_cross_product-{F}(V4,V2,V7), P_cross_product-{F}(V4,V3,V8), ilf_type-{F}(V4,V0) | subset-{T}(V7,V8)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #4: input, references = 7, size of lhs = 8:
% 32.08/32.25 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), P_relation_type-{F}(V2,V3,V6), ilf_type-{F}(V3,V0), ilf_type-{F}(V7,V5) | ilf_type-{T}(V7,V6)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #5: input, references = 11, size of lhs = 8:
% 32.08/32.25 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), P_relation_type-{F}(V2,V3,V6), ilf_type-{F}(V3,V0), ilf_type-{F}(V7,V6) | ilf_type-{T}(V7,V5)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #6: input, references = 3, size of lhs = 5:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_relation_type-{F}(V3,V2,V4), ilf_type-{F}(V3,V0) | EXISTS V5: pppp7-{T}(V4,V5)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #7: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp7-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #8: input, references = 3, size of lhs = 6:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_domain_of-{F}(V2,V3), ilf_type-{F}(V2,V1), ilf_type-{F}(V4,V0), member-{F}(V4,V3) | pppp0-{T}(V2,V4)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #9: input, references = 4, size of lhs = 6:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_domain_of-{F}(V2,V3), ilf_type-{F}(V2,V1), ilf_type-{F}(V4,V0), pppp0-{F}(V2,V4) | member-{T}(V4,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #10: input, references = 3, size of lhs = 3:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp8-{T}(V2,V3,V4,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #11: input, references = 4, size of lhs = 5:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V0), member-{F}(V5,V2) | pppp0-{T}(V2,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #12: input, references = 3, size of lhs = 2:
% 32.08/32.25 pppp8-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | member-{T}(V4,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #13: input, references = 3, size of lhs = 2:
% 32.08/32.25 pppp8-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #14: input, references = 3, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_domain_of-{F}(V2,V3), ilf_type-{F}(V2,V1) | ilf_type-{T}(V3,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #15: input, references = 3, size of lhs = 6:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_range_of-{F}(V2,V3), ilf_type-{F}(V2,V1), ilf_type-{F}(V4,V0), member-{F}(V4,V3) | pppp1-{T}(V2,V4)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #16: input, references = 3, size of lhs = 6:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_range_of-{F}(V2,V3), ilf_type-{F}(V2,V1), ilf_type-{F}(V4,V0), pppp1-{F}(V2,V4) | member-{T}(V4,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #17: input, references = 3, size of lhs = 3:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp1-{F}(V2,V3) | EXISTS V4: pppp9-{T}(V2,V3,V4,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #18: input, references = 3, size of lhs = 5:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_ordered_pair-{F}(V4,V3,V5), ilf_type-{F}(V4,V0), member-{F}(V5,V2) | pppp1-{T}(V2,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #19: input, references = 4, size of lhs = 2:
% 32.08/32.25 pppp9-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V1,V4) | member-{T}(V4,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #20: input, references = 3, size of lhs = 2:
% 32.08/32.25 pppp9-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V1,V4) | ilf_type-{T}(V2,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #21: input, references = 3, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_range_of-{F}(V2,V3), ilf_type-{F}(V2,V1) | ilf_type-{T}(V3,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #22: input, references = 3, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), ilf_type-{F}(V2,V1) | pppp2-{T}(V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #23: input, references = 7, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), pppp2-{F}(V2) | ilf_type-{T}(V2,V1)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #24: input, references = 3, size of lhs = 3:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp2-{F}(V2) | relation_like-{T}(V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #25: input, references = 3, size of lhs = 3:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp2-{F}(V2) | ilf_type-{T}(V2,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #26: input, references = 7, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), relation_like-{F}(V2), ilf_type-{F}(V2,V0) | pppp2-{T}(V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #27: input, references = 3, size of lhs = 2:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1) | EXISTS V2: pppp10-{T}(V1,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #28: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp10-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #29: input, references = 7, size of lhs = 5:
% 32.08/32.25 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) | pppp3-{T}(V2,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #30: input, references = 3, size of lhs = 5:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), pppp3-{F}(V2,V3) | subset-{T}(V2,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #31: input, references = 8, size of lhs = 5:
% 32.08/32.25 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)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #32: input, references = 5, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2, #-{F} V3 | pppp3-{T}(V2,V3), pppp21-{T}(V2,V3,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #33: input, references = 4, size of lhs = 1:
% 32.08/32.25 pppp21-{F}(V0,V1,V2) | EXISTS V3: pppp11-{T}(V0,V1,V3,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #34: input, references = 4, size of lhs = 2:
% 32.08/32.25 pppp11-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #35: input, references = 4, size of lhs = 1:
% 32.08/32.25 pppp11-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #36: input, references = 4, size of lhs = 1:
% 32.08/32.25 pppp11-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #37: input, references = 3, size of lhs = 5:
% 32.08/32.25 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)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #38: input, references = 3, size of lhs = 5:
% 32.08/32.25 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)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #39: input, references = 12, size of lhs = 8:
% 32.08/32.25 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)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #40: input, references = 5, size of lhs = 8:
% 32.08/32.25 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)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #41: input, references = 3, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_subset_type-{F}(V2,V3), ilf_type-{F}(V2,V0) | EXISTS V4: pppp12-{T}(V3,V4)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #42: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp12-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #43: input, references = 17, size of lhs = 3:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0) | subset-{T}(V2,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #44: input, references = 3, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), relation_like-{F}(V2) | pppp4-{T}(V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #45: input, references = 3, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), pppp4-{F}(V2) | relation_like-{T}(V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #46: input, references = 3, size of lhs = 5:
% 32.08/32.25 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)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #47: input, references = 3, size of lhs = 3:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | pppp4-{T}(V2), pppp22-{T}(V2,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #48: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp22-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #49: input, references = 3, size of lhs = 4:
% 32.08/32.25 pppp15-{F}(V0,V5,V2), ilf_type-{F}(V3,V2), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V2) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #50: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp15-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #51: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp15-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #52: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp14-{F}(V0,V1,V2) | EXISTS V3: pppp13-{T}(V0,V1,V3,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #53: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp14-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #54: input, references = 4, size of lhs = 3:
% 32.08/32.25 pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V0 == V4 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #55: input, references = 3, size of lhs = 2:
% 32.08/32.25 pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #56: input, references = 7, size of lhs = 7:
% 32.08/32.25 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)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #57: input, references = 4, size of lhs = 6:
% 32.08/32.25 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) | pppp5-{T}(V2,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #58: input, references = 4, size of lhs = 6:
% 32.08/32.25 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), pppp5-{F}(V2,V3) | member-{T}(V2,V4)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #59: input, references = 4, size of lhs = 5:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp5-{F}(V2,V3), ilf_type-{F}(V4,V0), member-{F}(V4,V2) | member-{T}(V4,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #60: input, references = 6, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2, #-{F} V3 | pppp5-{T}(V2,V3), pppp23-{T}(V2,V3,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #61: input, references = 4, size of lhs = 1:
% 32.08/32.25 pppp23-{F}(V0,V1,V2) | EXISTS V3: pppp16-{T}(V0,V1,V3,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #62: input, references = 4, size of lhs = 2:
% 32.08/32.25 pppp16-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #63: input, references = 4, size of lhs = 1:
% 32.08/32.25 pppp16-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #64: input, references = 4, size of lhs = 1:
% 32.08/32.25 pppp16-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #65: input, references = 4, size of lhs = 5:
% 32.08/32.25 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
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #66: input, references = 3, size of lhs = 4:
% 32.08/32.25 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)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #67: input, references = 3, size of lhs = 6:
% 32.08/32.25 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)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #68: input, references = 4, size of lhs = 6:
% 32.08/32.25 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)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #69: input, references = 4, size of lhs = 4:
% 32.08/32.25 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), pppp24-{T}(V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #70: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp24-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #71: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp17-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #72: input, references = 4, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), empty-{F}(V2) | pppp6-{T}(V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #73: input, references = 4, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), pppp6-{F}(V2) | empty-{T}(V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #74: input, references = 4, size of lhs = 5:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp6-{F}(V2), ilf_type-{F}(V3,V0), member-{F}(V3,V2) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #75: input, references = 5, size of lhs = 3:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | pppp6-{T}(V2), pppp25-{T}(V2,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #76: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp25-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V2,V1)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #77: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp18-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #78: input, references = 3, size of lhs = 1:
% 32.08/32.25 pppp18-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #79: input, references = 3, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), empty-{F}(V2), ilf_type-{F}(V2,V0) | relation_like-{T}(V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #80: input, references = 26, size of lhs = 3:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | ilf_type-{T}(V2,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #81: input, references = 11, size of lhs = 2:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1) | EXISTS V2: pppp20-{T}(V2,V0,V1)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #82: input, references = 15, size of lhs = 1:
% 32.08/32.25 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V0,V3,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #83: input, references = 11, size of lhs = 1:
% 32.08/32.25 pppp20-{F}(V0,V1,V2) | ilf_type-{T}(V0,V1)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #84: input, references = 5, size of lhs = 5:
% 32.08/32.25 pppp19-{F}(V0,V1,V2), P_domain_of-{F}(V1,V3), P_range_of-{F}(V1,V4), P_relation_type-{F}(V0,V4,V5), ilf_type-{F}(V1,V5) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #85: input, references = 6, size of lhs = 4:
% 32.08/32.25 pppp19-{F}(V0,V1,V2), P_domain_of-{F}(V1,V3), P_range_of-{F}(V1,V4), P_relation_type-{F}(V0,V4,V5) | subset-{T}(V3,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #86: input, references = 6, size of lhs = 4:
% 32.08/32.25 pppp19-{F}(V0,V1,V2), P_domain_of-{F}(V1,V3), P_range_of-{F}(V1,V4), P_relation_type-{F}(V0,V4,V5) | ilf_type-{T}(V1,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #87: input, references = 4, size of lhs = 0:
% 32.08/32.25 FALSE | EXISTS V0: P_set_type-{T}(V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #88: input, references = 4, size of lhs = 0:
% 32.08/32.25 FALSE | EXISTS V0: P_binary_relation_type-{T}(V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #89: input, references = 20, size of lhs = 2:
% 32.08/32.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #90: input, references = 5, size of lhs = 1:
% 32.08/32.25 #-{F} V0 | EXISTS V1: P_domain_of-{T}(V0,V1)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #91: input, references = 7, size of lhs = 1:
% 32.08/32.25 #-{F} V0 | EXISTS V1: P_range_of-{T}(V0,V1)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #92: input, references = 8, size of lhs = 1:
% 32.08/32.25 #-{F} V0 | EXISTS V1: P_subset_type-{T}(V0,V1)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #93: input, references = 6, size of lhs = 2:
% 32.08/32.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_type-{T}(V0,V1,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #94: input, references = 5, size of lhs = 2:
% 32.08/32.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #95: input, references = 4, size of lhs = 1:
% 32.08/32.25 #-{F} V0 | EXISTS V1: P_member_type-{T}(V0,V1)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #96: input, references = 4, size of lhs = 1:
% 32.08/32.25 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 number of initial rules = 97
% 32.08/32.25
% 32.08/32.25 Simplifiers:
% 32.08/32.25 #97: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 P_set_type-{F}(V0), P_set_type-{F}(V1), V0 == V1 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #98: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 P_binary_relation_type-{F}(V0), P_binary_relation_type-{F}(V1), V0 == V1 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #99: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #100: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 P_domain_of-{F}(V0,V1), P_domain_of-{F}(V0,V3), V1 == V3 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #101: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 P_range_of-{F}(V0,V1), P_range_of-{F}(V0,V3), V1 == V3 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #102: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 P_subset_type-{F}(V0,V1), P_subset_type-{F}(V0,V3), V1 == V3 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #103: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 P_relation_type-{F}(V0,V1,V2), P_relation_type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #104: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #105: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 P_member_type-{F}(V0,V1), P_member_type-{F}(V0,V3), V1 == V3 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #106: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #107: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #108: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #109: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #110: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #111: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #112: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #113: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #114: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #115: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #116: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #117: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #118: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #119: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #120: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V2), V1 == V4 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #121: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V2 == V5 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #122: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #123: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V2 == V5 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #124: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #125: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #126: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #127: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V4,V2), V1 == V4 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #128: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V2 == V5 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #129: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V4,V2), V1 == V4 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #130: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp19-{F}(V0,V1,V2), pppp19-{F}(V3,V4,V5), V2 == V5 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #131: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V1,V2), V0 == V3 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #132: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V1 == V4 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #133: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V2 == V5 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #134: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp21-{F}(V0,V1,V2), pppp21-{F}(V3,V4,V5), V2 == V5 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #135: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp22-{F}(V0,V1), pppp22-{F}(V2,V3), V1 == V3 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #136: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V4,V5), V2 == V5 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #137: unsound, references = 3, size of lhs = 3:
% 32.08/32.25 pppp25-{F}(V0,V1), pppp25-{F}(V2,V3), V1 == V3 | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 number of simplifiers = 41
% 32.08/32.25
% 32.08/32.25 Learnt:
% 32.08/32.25 #141: mergings( V0 == V3, V1 == V4; #138 ), references = 1, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V3) | pppp25-{T}(V3,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #144: exists( #93, #142 ), references = 3, size of lhs = 10:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V5), P_range_of-{F}(V6,V3), P_domain_of-{F}(V6,V7), pppp19-{F}(V2,V6,V8) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #150: mergings( V2 == V8, V3 == V9; #147 ), references = 2, size of lhs = 13:
% 32.08/32.25 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,V4), P_binary_relation_type-{F}(V6), ilf_type-{F}(V7,V0), P_range_of-{F}(V5,V8), ilf_type-{F}(V8,V0), P_cross_product-{F}(V7,V8,V3), P_domain_of-{F}(V5,V9), pppp19-{F}(V7,V5,V10) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #166: exists( #33, #164 ), references = 2, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp5-{F}(V2,V3), pppp21-{F}(V2,V3,V0) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #169: mergings( V1 == V4; #167 ), references = 1, size of lhs = 3:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp5-{F}(V2,V3) | pppp3-{T}(V2,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #178: exists( #94, #54 ), references = 1, size of lhs = 1:
% 32.08/32.25 pppp13-{F}(V0,V1,V2,V3) | P_ordered_pair-{T}(V1,V2,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #195: mergings( V2 == V8, V3 == V9; #191 ), references = 1, size of lhs = 15:
% 32.08/32.25 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,V4), P_binary_relation_type-{F}(V6), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_cross_product-{F}(V7,V8,V3), P_relation_type-{F}(V7,V8,V9), P_domain_of-{F}(V5,V10), P_range_of-{F}(V5,V11), P_relation_type-{F}(V12,V11,V9), pppp19-{F}(V12,V5,V13) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #200: mergings( V2 == V8, V8 == V13, V3 == V9, V9 == V17; #192 ), references = 1, size of lhs = 21:
% 32.08/32.25 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,V4), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V3), P_relation_type-{F}(V6,V7,V8), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), P_relation_type-{F}(V9,V10,V8), P_cross_product-{F}(V9,V10,V11), P_binary_relation_type-{F}(V12), ilf_type-{F}(V13,V0), P_range_of-{F}(V5,V14), ilf_type-{F}(V14,V0), P_cross_product-{F}(V13,V14,V11), P_domain_of-{F}(V5,V15), pppp19-{F}(V13,V5,V16) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #216: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V7; #211 ), references = 1, size of lhs = 6:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V3), ilf_type-{F}(V3,V0), P_member_type-{F}(V3,V4) | pppp24-{T}(V4)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #226: mergings( V0 == V5, V1 == V6; #223 ), references = 3, size of lhs = 8:
% 32.08/32.25 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), P_power_set-{F}(V5,V2), ilf_type-{F}(V5,V0) | ilf_type-{T}(V1,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #235: mergings( V2 == V6, V6 == V10, V4 == V7, V7 == V11; #230 ), references = 4, size of lhs = 17:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{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_binary_relation_type-{F}(V6), ilf_type-{F}(V7,V0), P_range_of-{F}(V3,V8), ilf_type-{F}(V8,V0), P_cross_product-{F}(V7,V8,V9), P_subset_type-{F}(V9,V5), P_domain_of-{F}(V3,V10), pppp19-{F}(V7,V3,V11) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #263: mergings( V0 == V4, V4 == V7, V1 == V5, V5 == V11; #258 ), references = 1, size of lhs = 17:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V3,V0), P_power_set-{F}(V3,V4), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V4), P_subset_type-{F}(V5,V6), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), P_range_of-{F}(V1,V9), ilf_type-{F}(V9,V0), P_cross_product-{F}(V8,V9,V10), P_subset_type-{F}(V10,V6), P_domain_of-{F}(V1,V11), pppp19-{F}(V8,V1,V12) | pppp21-{T}(V2,V4,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #278: mergings( V0 == V4, V4 == V7, V1 == V5, V5 == V11; #273 ), references = 2, size of lhs = 18:
% 32.08/32.25 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), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V2), P_subset_type-{F}(V5,V6), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), P_range_of-{F}(V3,V9), ilf_type-{F}(V9,V0), P_cross_product-{F}(V8,V9,V10), P_subset_type-{F}(V10,V6), P_domain_of-{F}(V3,V11), pppp19-{F}(V8,V3,V12) | pppp23-{T}(V3,V1,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #294: mergings( V3 == V9, V9 == V10, V10 == V12, V12 == V16, V4 == V11, V11 == V13, V13 == V20; #286 ), references = 2, size of lhs = 27:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), P_cross_product-{F}(V3,V1,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V2,V6), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), member-{F}(V7,V8), ilf_type-{F}(V8,V0), subset-{F}(V8,V5), ilf_type-{F}(V9,V0), P_power_set-{F}(V9,V6), ilf_type-{F}(V10,V0), P_power_set-{F}(V10,V6), P_subset_type-{F}(V10,V11), P_binary_relation_type-{F}(V12), ilf_type-{F}(V13,V0), P_range_of-{F}(V7,V14), ilf_type-{F}(V14,V0), P_cross_product-{F}(V13,V14,V15), P_subset_type-{F}(V15,V11), P_domain_of-{F}(V7,V16), pppp19-{F}(V13,V7,V17) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #305: mergings( V3 == V9, V4 == V19; #302 ), references = 2, size of lhs = 33:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V1,V6), ilf_type-{F}(V7,V0), subset-{F}(V7,V8), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_cross_product-{F}(V9,V7,V5), P_cross_product-{F}(V7,V9,V10), P_cross_product-{F}(V9,V8,V11), ilf_type-{F}(V11,V0), ilf_type-{F}(V12,V0), member-{F}(V12,V4), ilf_type-{F}(V13,V0), P_power_set-{F}(V13,V11), ilf_type-{F}(V14,V0), P_power_set-{F}(V14,V11), P_subset_type-{F}(V14,V15), P_binary_relation_type-{F}(V16), ilf_type-{F}(V17,V0), P_range_of-{F}(V12,V18), ilf_type-{F}(V18,V0), P_cross_product-{F}(V17,V18,V19), P_subset_type-{F}(V19,V15), P_domain_of-{F}(V12,V20), pppp19-{F}(V17,V12,V21) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #309: mergings( V3 == V11, V4 == V21; #306 ), references = 2, size of lhs = 33:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V1,V6), ilf_type-{F}(V7,V0), subset-{F}(V7,V8), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_cross_product-{F}(V9,V7,V5), P_cross_product-{F}(V7,V9,V10), P_cross_product-{F}(V9,V8,V11), ilf_type-{F}(V11,V0), ilf_type-{F}(V12,V0), member-{F}(V12,V4), ilf_type-{F}(V13,V0), P_power_set-{F}(V13,V11), ilf_type-{F}(V14,V0), P_power_set-{F}(V14,V11), P_subset_type-{F}(V14,V15), P_binary_relation_type-{F}(V16), ilf_type-{F}(V17,V0), P_range_of-{F}(V12,V18), ilf_type-{F}(V18,V0), P_cross_product-{F}(V17,V18,V19), P_subset_type-{F}(V19,V15), P_domain_of-{F}(V12,V20), pppp19-{F}(V17,V12,V21) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #323: mergings( V3 == V9, V9 == V11, V11 == V14, V14 == V17, V4 == V10, V10 == V12, V12 == V15, V15 == V18; #314 ), references = 1, size of lhs = 16:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V1,V6), member-{F}(V7,V4), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_power_set-{F}(V8,V5), pppp21-{F}(V7,V8,V0), P_binary_relation_type-{F}(V9) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #333: mergings( V3 == V8, V8 == V10, V10 == V13, V13 == V16, V4 == V9, V9 == V11, V11 == V14, V14 == V17; #324 ), references = 1, size of lhs = 15:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), member-{F}(V6,V4), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_power_set-{F}(V7,V5), pppp21-{F}(V6,V7,V0), P_binary_relation_type-{F}(V8) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #336: exists( #89, #305 ), references = 1, size of lhs = 32:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V1,V6), ilf_type-{F}(V7,V0), subset-{F}(V7,V8), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_cross_product-{F}(V9,V7,V5), P_cross_product-{F}(V9,V8,V10), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), member-{F}(V11,V4), ilf_type-{F}(V12,V0), P_power_set-{F}(V12,V10), ilf_type-{F}(V13,V0), P_power_set-{F}(V13,V10), P_subset_type-{F}(V13,V14), P_binary_relation_type-{F}(V15), ilf_type-{F}(V16,V0), P_range_of-{F}(V11,V17), ilf_type-{F}(V17,V0), P_cross_product-{F}(V16,V17,V18), P_subset_type-{F}(V18,V14), P_domain_of-{F}(V11,V19), pppp19-{F}(V16,V11,V20) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #337: exists( #89, #309 ), references = 1, size of lhs = 32:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V1,V6), ilf_type-{F}(V7,V0), subset-{F}(V7,V8), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_cross_product-{F}(V9,V7,V5), P_cross_product-{F}(V9,V8,V10), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), member-{F}(V11,V4), ilf_type-{F}(V12,V0), P_power_set-{F}(V12,V10), ilf_type-{F}(V13,V0), P_power_set-{F}(V13,V10), P_subset_type-{F}(V13,V14), P_binary_relation_type-{F}(V15), ilf_type-{F}(V16,V0), P_range_of-{F}(V11,V17), ilf_type-{F}(V17,V0), P_cross_product-{F}(V16,V17,V18), P_subset_type-{F}(V18,V14), P_domain_of-{F}(V11,V19), pppp19-{F}(V16,V11,V20) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #340: exists( #89, #334 ), references = 1, size of lhs = 31:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), subset-{F}(V6,V7), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_cross_product-{F}(V8,V6,V5), P_cross_product-{F}(V8,V7,V9), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), member-{F}(V10,V4), ilf_type-{F}(V11,V0), P_power_set-{F}(V11,V9), ilf_type-{F}(V12,V0), P_power_set-{F}(V12,V9), P_subset_type-{F}(V12,V13), P_binary_relation_type-{F}(V14), ilf_type-{F}(V15,V0), P_range_of-{F}(V10,V16), ilf_type-{F}(V16,V0), P_cross_product-{F}(V15,V16,V17), P_subset_type-{F}(V17,V13), P_domain_of-{F}(V10,V18), pppp19-{F}(V15,V10,V19) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #341: exists( #89, #335 ), references = 1, size of lhs = 31:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), subset-{F}(V6,V7), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_cross_product-{F}(V8,V6,V5), P_cross_product-{F}(V8,V7,V9), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), member-{F}(V10,V4), ilf_type-{F}(V11,V0), P_power_set-{F}(V11,V9), ilf_type-{F}(V12,V0), P_power_set-{F}(V12,V9), P_subset_type-{F}(V12,V13), P_binary_relation_type-{F}(V14), ilf_type-{F}(V15,V0), P_range_of-{F}(V10,V16), ilf_type-{F}(V16,V0), P_cross_product-{F}(V15,V16,V17), P_subset_type-{F}(V17,V13), P_domain_of-{F}(V10,V18), pppp19-{F}(V15,V10,V19) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #357: mergings( V0 == V4, V1 == V5; #354 ), references = 1, size of lhs = 3:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp21-{F}(V2,V3,V0) | pppp23-{T}(V2,V3,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #369: mergings( V0 == V3, V3 == V5, V1 == V4, V4 == V6; #364 ), references = 1, size of lhs = 5:
% 32.08/32.25 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) | pppp25-{T}(V3,V0)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #382: exists( #61, #380 ), references = 2, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp3-{F}(V2,V3), pppp23-{F}(V2,V3,V0) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #389: mergings( V2 == V3, V3 == V12; #386 ), references = 1, size of lhs = 13:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_range_of-{F}(V1,V3), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), P_subset_type-{F}(V4,V5), P_domain_of-{F}(V1,V6), pppp19-{F}(V2,V1,V7), P_binary_relation_type-{F}(V8), pppp3-{F}(V1,V9), P_subset_type-{F}(V9,V5), ilf_type-{F}(V9,V0) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #393: mergings( V2 == V3, V3 == V10; #390 ), references = 2, size of lhs = 11:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_range_of-{F}(V1,V3), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), pppp3-{F}(V1,V4), ilf_type-{F}(V4,V0), P_domain_of-{F}(V1,V5), pppp19-{F}(V2,V1,V6), P_binary_relation_type-{F}(V7) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #405: mergings( V4 == V10, V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V13, V0 == V11; #397 ), references = 2, size of lhs = 9:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_binary_relation_type-{F}(V2), P_range_of-{F}(V1,V3), ilf_type-{F}(V3,V0), P_domain_of-{F}(V1,V4), ilf_type-{F}(V4,V0), pppp19-{F}(V4,V1,V5) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #409: mergings( V2 == V4; #407 ), references = 1, size of lhs = 7:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_binary_relation_type-{F}(V2), P_domain_of-{F}(V1,V3), ilf_type-{F}(V3,V0), pppp19-{F}(V3,V1,V4) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #419: mergings( V3 == V9, V9 == V11, V11 == V13, V4 == V12, V12 == V18; #413 ), references = 2, size of lhs = 19:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), P_cross_product-{F}(V3,V1,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V2,V6), ilf_type-{F}(V6,V0), subset-{F}(V7,V5), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_range_of-{F}(V7,V9), ilf_type-{F}(V9,V0), P_cross_product-{F}(V8,V9,V6), P_domain_of-{F}(V7,V10), pppp19-{F}(V8,V7,V11), P_binary_relation_type-{F}(V12) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #426: mergings( V4 == V9, V3 == V5, V5 == V11, V11 == V14; #421 ), references = 3, size of lhs = 14:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), P_cross_product-{F}(V3,V1,V5), ilf_type-{F}(V5,V0), subset-{F}(V6,V5), ilf_type-{F}(V6,V0), P_range_of-{F}(V6,V2), P_domain_of-{F}(V6,V7), pppp19-{F}(V3,V6,V8), P_binary_relation_type-{F}(V9) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #442: mergings( V3 == V9, V9 == V10, V10 == V13, V4 == V20; #436 ), references = 1, size of lhs = 24:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V2,V6), ilf_type-{F}(V7,V0), subset-{F}(V7,V8), ilf_type-{F}(V8,V0), subset-{F}(V8,V4), ilf_type-{F}(V9,V0), subset-{F}(V9,V10), ilf_type-{F}(V10,V0), P_range_of-{F}(V7,V10), ilf_type-{F}(V11,V0), P_cross_product-{F}(V11,V9,V5), P_cross_product-{F}(V9,V11,V12), P_domain_of-{F}(V7,V13), pppp19-{F}(V11,V7,V14), P_binary_relation_type-{F}(V15) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #447: mergings( V3 == V9, V9 == V10, V10 == V13, V4 == V23; #437 ), references = 1, size of lhs = 29:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V2,V6), ilf_type-{F}(V7,V0), subset-{F}(V7,V8), ilf_type-{F}(V8,V0), subset-{F}(V8,V4), ilf_type-{F}(V9,V0), subset-{F}(V9,V10), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), P_cross_product-{F}(V11,V9,V5), P_cross_product-{F}(V9,V11,V12), P_cross_product-{F}(V11,V10,V13), ilf_type-{F}(V13,V0), ilf_type-{F}(V14,V0), P_range_of-{F}(V7,V15), ilf_type-{F}(V15,V0), P_cross_product-{F}(V14,V15,V13), P_domain_of-{F}(V7,V16), pppp19-{F}(V14,V7,V17), P_binary_relation_type-{F}(V18) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #454: mergings( V3 == V8, V8 == V9, V9 == V12, V4 == V16; #448 ), references = 2, size of lhs = 19:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), subset-{F}(V3,V4), ilf_type-{F}(V4,V0), subset-{F}(V4,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V1,V6,V5), ilf_type-{F}(V6,V0), subset-{F}(V6,V7), ilf_type-{F}(V7,V0), P_range_of-{F}(V3,V7), P_cross_product-{F}(V2,V6,V8), ilf_type-{F}(V8,V0), P_domain_of-{F}(V3,V9), pppp19-{F}(V2,V3,V10), P_binary_relation_type-{F}(V11) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #459: mergings( V3 == V8, V8 == V9, V9 == V12, V4 == V19; #449 ), references = 1, size of lhs = 24:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), subset-{F}(V3,V4), ilf_type-{F}(V4,V0), subset-{F}(V4,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V1,V6,V5), ilf_type-{F}(V6,V0), subset-{F}(V6,V7), ilf_type-{F}(V7,V0), P_cross_product-{F}(V2,V6,V8), ilf_type-{F}(V8,V0), P_cross_product-{F}(V2,V7,V9), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), P_range_of-{F}(V3,V11), ilf_type-{F}(V11,V0), P_cross_product-{F}(V10,V11,V9), P_domain_of-{F}(V3,V12), pppp19-{F}(V10,V3,V13), P_binary_relation_type-{F}(V14) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #467: mergings( V4 == V8, V3 == V5, V5 == V13; #463 ), references = 2, size of lhs = 16:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), subset-{F}(V3,V4), ilf_type-{F}(V4,V0), subset-{F}(V4,V5), ilf_type-{F}(V5,V0), P_range_of-{F}(V3,V6), P_cross_product-{F}(V1,V6,V5), subset-{F}(V6,V6), ilf_type-{F}(V6,V0), P_domain_of-{F}(V3,V7), pppp19-{F}(V2,V3,V8), P_binary_relation_type-{F}(V9) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #471: mergings( V4 == V8, V3 == V5, V5 == V14; #462 ), references = 3, size of lhs = 17:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), subset-{F}(V5,V6), ilf_type-{F}(V6,V0), subset-{F}(V6,V4), subset-{F}(V3,V7), ilf_type-{F}(V7,V0), P_range_of-{F}(V5,V7), P_domain_of-{F}(V5,V8), pppp19-{F}(V2,V5,V9), P_binary_relation_type-{F}(V10) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #481: mergings( V4 == V6, V3 == V5, V5 == V12; #476 ), references = 4, size of lhs = 16:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V2,V3), P_binary_relation_type-{F}(V3), P_domain_of-{F}(V2,V4), ilf_type-{F}(V4,V0), subset-{F}(V4,V5), ilf_type-{F}(V5,V0), P_range_of-{F}(V2,V6), P_range_of-{F}(V1,V6), subset-{F}(V6,V6), ilf_type-{F}(V6,V0), P_domain_of-{F}(V1,V7), pppp19-{F}(V5,V1,V8) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #485: mergings( V4 == V6, V3 == V5, V5 == V13; #477 ), references = 2, size of lhs = 17:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V2,V3), P_binary_relation_type-{F}(V3), P_domain_of-{F}(V2,V4), ilf_type-{F}(V4,V0), subset-{F}(V4,V5), ilf_type-{F}(V5,V0), P_range_of-{F}(V2,V6), ilf_type-{F}(V6,V0), subset-{F}(V6,V7), ilf_type-{F}(V7,V0), P_range_of-{F}(V1,V7), P_domain_of-{F}(V1,V8), pppp19-{F}(V5,V1,V9) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #495: mergings( V2 == V3, V3 == V5, V6 == V8; #490 ), references = 3, size of lhs = 10:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_binary_relation_type-{F}(V2), P_domain_of-{F}(V1,V3), ilf_type-{F}(V3,V0), subset-{F}(V3,V4), ilf_type-{F}(V4,V0), pppp19-{F}(V4,V1,V5) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #499: mergings( V2 == V3, V3 == V5, V6 == V8; #491 ), references = 3, size of lhs = 10:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_binary_relation_type-{F}(V2), P_domain_of-{F}(V1,V3), ilf_type-{F}(V3,V0), subset-{F}(V3,V4), ilf_type-{F}(V4,V0), pppp19-{F}(V4,V1,V5) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #511: mergings( V3 == V9, V4 == V16; #506 ), references = 1, size of lhs = 20:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V1,V6), ilf_type-{F}(V7,V0), P_cross_product-{F}(V4,V7,V8), P_cross_product-{F}(V7,V4,V9), ilf_type-{F}(V9,V0), subset-{F}(V10,V9), ilf_type-{F}(V10,V0), P_range_of-{F}(V10,V5), P_domain_of-{F}(V10,V11), pppp19-{F}(V7,V10,V12), P_binary_relation_type-{F}(V13) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #514: mergings( V3 == V9, V4 == V17; #507 ), references = 1, size of lhs = 23:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V1,V6), ilf_type-{F}(V7,V0), subset-{F}(V7,V8), ilf_type-{F}(V8,V0), P_cross_product-{F}(V7,V4,V9), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), P_range_of-{F}(V10,V5), subset-{F}(V10,V11), ilf_type-{F}(V11,V0), subset-{F}(V11,V9), P_domain_of-{F}(V10,V12), pppp19-{F}(V8,V10,V13), P_binary_relation_type-{F}(V14) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #517: mergings( V3 == V9, V4 == V18; #508 ), references = 1, size of lhs = 25:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V1,V6), ilf_type-{F}(V7,V0), subset-{F}(V7,V8), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_range_of-{F}(V9,V5), subset-{F}(V9,V10), ilf_type-{F}(V10,V0), subset-{F}(V10,V11), ilf_type-{F}(V11,V0), P_cross_product-{F}(V7,V4,V11), P_cross_product-{F}(V8,V4,V12), ilf_type-{F}(V12,V0), P_domain_of-{F}(V9,V13), pppp19-{F}(V8,V9,V14), P_binary_relation_type-{F}(V15) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #524: mergings( V3 == V7, V4 == V12, V0 == V8; #518 ), references = 1, size of lhs = 14:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), subset-{F}(V3,V4), P_cross_product-{F}(V1,V4,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V4,V5), ilf_type-{F}(V5,V0), P_range_of-{F}(V3,V5), P_domain_of-{F}(V3,V6), pppp19-{F}(V1,V3,V7), P_binary_relation_type-{F}(V8) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #527: mergings( V3 == V8, V4 == V16; #519 ), references = 1, size of lhs = 22:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), subset-{F}(V6,V7), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V4,V8), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_range_of-{F}(V9,V5), subset-{F}(V9,V10), ilf_type-{F}(V10,V0), subset-{F}(V10,V8), P_domain_of-{F}(V9,V11), pppp19-{F}(V7,V9,V12), P_binary_relation_type-{F}(V13) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #530: mergings( V3 == V8, V4 == V17; #520 ), references = 1, size of lhs = 24:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V1,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V3,V5), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), subset-{F}(V6,V7), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_range_of-{F}(V8,V5), subset-{F}(V8,V9), ilf_type-{F}(V9,V0), subset-{F}(V9,V10), ilf_type-{F}(V10,V0), P_cross_product-{F}(V6,V4,V10), P_cross_product-{F}(V7,V4,V11), ilf_type-{F}(V11,V0), P_domain_of-{F}(V8,V12), pppp19-{F}(V7,V8,V13), P_binary_relation_type-{F}(V14) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #542: mergings( V3 == V9, V4 == V11; #537 ), references = 1, size of lhs = 16:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), P_cross_product-{F}(V3,V1,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V2,V6), ilf_type-{F}(V6,V0), subset-{F}(V7,V7), ilf_type-{F}(V7,V0), P_domain_of-{F}(V7,V5), ilf_type-{F}(V7,V8), P_binary_relation_type-{F}(V8), pppp19-{F}(V6,V7,V9) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #545: mergings( V3 == V9, V4 == V11; #538 ), references = 1, size of lhs = 16:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), P_cross_product-{F}(V3,V1,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V2,V6), ilf_type-{F}(V6,V0), subset-{F}(V7,V7), ilf_type-{F}(V7,V0), P_domain_of-{F}(V7,V5), ilf_type-{F}(V7,V8), P_binary_relation_type-{F}(V8), pppp19-{F}(V6,V7,V9) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #548: mergings( V3 == V9, V4 == V12; #539 ), references = 1, size of lhs = 22:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), P_cross_product-{F}(V3,V1,V5), ilf_type-{F}(V5,V0), P_cross_product-{F}(V3,V2,V6), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), subset-{F}(V7,V8), ilf_type-{F}(V8,V0), P_domain_of-{F}(V8,V5), ilf_type-{F}(V8,V9), P_binary_relation_type-{F}(V9), P_range_of-{F}(V8,V10), P_range_of-{F}(V7,V10), subset-{F}(V10,V10), ilf_type-{F}(V10,V0), P_domain_of-{F}(V7,V11), pppp19-{F}(V6,V7,V12) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #623: mergings( V8 == V9, V7 == V4; #618 ), references = 1, size of lhs = 10:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_binary_relation_type-{F}(V2), P_domain_of-{F}(V1,V3), ilf_type-{F}(V3,V0), P_range_of-{F}(V1,V4), ilf_type-{F}(V5,V0), pppp19-{F}(V5,V1,V6) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #626: mergings( V8 == V9, V7 == V4; #619 ), references = 1, size of lhs = 10:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_binary_relation_type-{F}(V2), P_domain_of-{F}(V1,V3), ilf_type-{F}(V3,V0), P_range_of-{F}(V1,V4), ilf_type-{F}(V5,V0), pppp19-{F}(V5,V1,V6) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #631: mergings( V9 == V12, V8 == V4, V7 == V11, V1 == V10; #620 ), references = 1, size of lhs = 15:
% 32.08/32.25 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V2,V3), P_binary_relation_type-{F}(V3), P_domain_of-{F}(V2,V4), ilf_type-{F}(V4,V0), P_domain_of-{F}(V1,V4), ilf_type-{F}(V5,V0), P_range_of-{F}(V2,V6), P_range_of-{F}(V1,V6), subset-{F}(V6,V6), ilf_type-{F}(V6,V0), pppp19-{F}(V5,V1,V7) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #636: mergings( V7 == V8, V0 == V3; #632 ), references = 2, size of lhs = 9:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_binary_relation_type-{F}(V2), P_domain_of-{F}(V1,V3), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), pppp19-{F}(V4,V1,V5) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #639: mergings( V7 == V8, V0 == V3; #633 ), references = 2, size of lhs = 9:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_binary_relation_type-{F}(V2), P_domain_of-{F}(V1,V3), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), pppp19-{F}(V4,V1,V5) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #646: mergings( V2 == V4, V6 == V7; #642 ), references = 13, size of lhs = 7:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), pppp19-{F}(V3,V1,V4) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #656: mergings( V4 == V5, V5 == V6, V6 == V7; #651 ), references = 2, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V0), ilf_type-{F}(V1,V0), pppp20-{F}(V1,V2,V3) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #660: mergings( V1 == V0; #658 ), references = 1, size of lhs = 2:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V0) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #663: mergings( V1 == V4; #661 ), references = 1, size of lhs = 3:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp3-{F}(V2,V3) | pppp5-{T}(V2,V3)
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #675: mergings( V6 == V11, V4 == V5, V5 == V7, V7 == V12, V12 == V13; #669 ), references = 2, size of lhs = 8:
% 32.08/32.25 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_binary_relation_type-{F}(V4), ilf_type-{F}(V5,V0), pppp20-{F}(V5,V6,V7) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #679: mergings( V1 == V6; #677 ), references = 1, size of lhs = 6:
% 32.08/32.25 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_binary_relation_type-{F}(V4) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #690: mergings( V6 == V12, V4 == V5, V5 == V7, V7 == V13, V13 == V16; #684 ), references = 2, size of lhs = 13:
% 32.08/32.25 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), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V4), P_power_set-{F}(V5,V6), P_member_type-{F}(V6,V7), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), pppp20-{F}(V8,V9,V10) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #694: mergings( V1 == V9; #692 ), references = 1, size of lhs = 11:
% 32.08/32.25 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), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V4), P_power_set-{F}(V5,V6), P_member_type-{F}(V6,V7), P_binary_relation_type-{F}(V7) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #704: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8; #699 ), references = 2, size of lhs = 12:
% 32.08/32.25 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V1), P_power_set-{F}(V2,V3), P_member_type-{F}(V3,V4), ilf_type-{F}(V5,V1), P_subset_type-{F}(V5,V4), P_power_set-{F}(V5,V6), P_member_type-{F}(V6,V0), ilf_type-{F}(V7,V1), pppp20-{F}(V7,V8,V9) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #708: mergings( V1 == V3; #706 ), references = 1, size of lhs = 10:
% 32.08/32.25 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V1), P_power_set-{F}(V2,V3), P_member_type-{F}(V3,V4), ilf_type-{F}(V5,V1), P_subset_type-{F}(V5,V4), P_power_set-{F}(V5,V6), P_member_type-{F}(V6,V0) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #716: mergings( V4 == V5, V5 == V6, V6 == V7; #712 ), references = 2, size of lhs = 8:
% 32.08/32.25 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V1), P_power_set-{F}(V2,V3), P_member_type-{F}(V3,V0), ilf_type-{F}(V4,V1), pppp20-{F}(V4,V5,V6) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #720: mergings( V1 == V3; #718 ), references = 1, size of lhs = 6:
% 32.08/32.25 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V1), P_power_set-{F}(V2,V3), P_member_type-{F}(V3,V0) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #729: mergings( V6 == V12, V4 == V5, V5 == V7, V7 == V11; #724 ), references = 1, size of lhs = 9:
% 32.08/32.25 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), P_subset_type-{F}(V4,V0), ilf_type-{F}(V5,V1), pppp20-{F}(V5,V6,V7) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #744: mergings( V6 == V12, V12 == V13, V4 == V5, V5 == V7, V7 == V14, V14 == V18, V18 == V19; #736 ), references = 1, size of lhs = 13:
% 32.08/32.25 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), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V7), P_subset_type-{F}(V7,V4), P_binary_relation_type-{F}(V8), ilf_type-{F}(V9,V0), pppp20-{F}(V9,V10,V11) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #753: mergings( V4 == V8, V8 == V9, V2 == V3, V3 == V5, V5 == V10, V10 == V13, V13 == V14; #745 ), references = 2, size of lhs = 11:
% 32.08/32.25 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}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V3), P_binary_relation_type-{F}(V6), ilf_type-{F}(V7,V0), pppp20-{F}(V7,V8,V9) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #757: mergings( V1 == V8; #755 ), references = 1, size of lhs = 9:
% 32.08/32.25 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}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V3), P_binary_relation_type-{F}(V6) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #770: mergings( V7 == V16, V4 == V5, V5 == V6, V6 == V8, V8 == V14, V14 == V20; #763 ), references = 2, size of lhs = 17:
% 32.08/32.25 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), P_subset_type-{F}(V4,V5), P_subset_type-{F}(V6,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_subset_type-{F}(V7,V0), P_power_set-{F}(V7,V8), P_member_type-{F}(V8,V3), P_power_set-{F}(V6,V9), P_member_type-{F}(V9,V10), P_binary_relation_type-{F}(V10), ilf_type-{F}(V11,V0), pppp20-{F}(V11,V12,V13) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #774: mergings( V1 == V12; #772 ), references = 1, size of lhs = 15:
% 32.08/32.25 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), P_subset_type-{F}(V4,V5), P_subset_type-{F}(V6,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_subset_type-{F}(V7,V0), P_power_set-{F}(V7,V8), P_member_type-{F}(V8,V3), P_power_set-{F}(V6,V9), P_member_type-{F}(V9,V10), P_binary_relation_type-{F}(V10) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #788: mergings( V7 == V14, V4 == V5, V5 == V6, V6 == V8, V8 == V13, V13 == V17; #781 ), references = 1, size of lhs = 12:
% 32.08/32.25 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), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V0), P_power_set-{F}(V5,V6), P_member_type-{F}(V6,V4), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), pppp20-{F}(V8,V9,V10) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #802: mergings( V7 == V14, V4 == V5, V5 == V6, V6 == V8, V8 == V16, V16 == V17; #795 ), references = 1, size of lhs = 12:
% 32.08/32.25 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_subset_type-{F}(V5,V4), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V6), P_member_type-{F}(V6,V0), P_binary_relation_type-{F}(V7), ilf_type-{F}(V8,V0), pppp20-{F}(V8,V9,V10) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #818: mergings( V7 == V14, V14 == V22, V4 == V5, V5 == V6, V6 == V8, V8 == V15, V15 == V20, V20 == V26; #809 ), references = 1, size of lhs = 22:
% 32.08/32.25 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), 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), ilf_type-{F}(V11,V0), P_subset_type-{F}(V11,V0), P_power_set-{F}(V11,V12), P_member_type-{F}(V12,V3), P_power_set-{F}(V10,V13), P_member_type-{F}(V13,V14), P_binary_relation_type-{F}(V14), ilf_type-{F}(V15,V0), pppp20-{F}(V15,V16,V17) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #828: mergings( V5 == V10, V10 == V17, V2 == V3, V3 == V4, V4 == V6, V6 == V11, V11 == V15, V15 == V21; #819 ), references = 1, size of lhs = 20:
% 32.08/32.25 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), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V6,V4), P_relation_type-{F}(V5,V6,V7), P_subset_type-{F}(V8,V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_subset_type-{F}(V9,V0), P_power_set-{F}(V9,V10), P_member_type-{F}(V10,V3), P_power_set-{F}(V8,V11), P_member_type-{F}(V11,V12), P_binary_relation_type-{F}(V12), ilf_type-{F}(V13,V0), pppp20-{F}(V13,V14,V15) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #994: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V16, V4 == V6, V6 == V10, V10 == V12, V12 == V15; #983 ), references = 1, size of lhs = 15:
% 32.08/32.25 subset-{F}(V0,V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V1), P_domain_of-{F}(V2,V3), pppp3-{F}(V3,V4), P_member_type-{F}(V4,V1), P_power_set-{F}(V5,V4), ilf_type-{F}(V5,V6), ilf_type-{F}(V4,V6), P_set_type-{F}(V6), ilf_type-{F}(V0,V6), ilf_type-{F}(V7,V6), ilf_type-{F}(V8,V6), pppp19-{F}(V8,V0,V9), pppp9-{F}(V2,V7,V0,V10) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #1047: mergings( V6 == V8; #1043 ), references = 1, size of lhs = 9:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), P_domain_of-{F}(V1,V2), P_range_of-{F}(V1,V3), P_binary_relation_type-{F}(V4), pppp19-{F}(V5,V1,V4), ilf_type-{F}(V6,V0), pppp19-{F}(V6,V1,V4) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #1050: mergings( V5 == V7, V6 == V9; #1044 ), references = 1, size of lhs = 10:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), P_range_of-{F}(V1,V2), P_binary_relation_type-{F}(V3), pppp19-{F}(V4,V1,V3), P_domain_of-{F}(V1,V5), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), pppp19-{F}(V6,V1,V3) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #1053: mergings( V5 == V7, V6 == V9; #1045 ), references = 1, size of lhs = 10:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), P_range_of-{F}(V1,V2), P_binary_relation_type-{F}(V3), pppp19-{F}(V4,V1,V3), P_domain_of-{F}(V1,V5), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), pppp19-{F}(V6,V1,V3) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #1058: mergings( V4 == V7; #1054 ), references = 1, size of lhs = 8:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), P_domain_of-{F}(V1,V2), P_binary_relation_type-{F}(V3), pppp19-{F}(V4,V1,V3), ilf_type-{F}(V5,V0), pppp19-{F}(V5,V1,V3) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #1061: mergings( V3 == V6, V4 == V8; #1055 ), references = 1, size of lhs = 9:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), P_binary_relation_type-{F}(V2), pppp19-{F}(V3,V1,V2), P_domain_of-{F}(V1,V4), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), pppp19-{F}(V5,V1,V2) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #1064: mergings( V3 == V6, V4 == V8; #1056 ), references = 1, size of lhs = 9:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), P_binary_relation_type-{F}(V2), pppp19-{F}(V3,V1,V2), P_domain_of-{F}(V1,V4), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), pppp19-{F}(V5,V1,V2) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #1067: mergings( V3 == V6; #1065 ), references = 1, size of lhs = 7:
% 32.08/32.25 P_set_type-{F}(V0), subset-{F}(V1,V1), ilf_type-{F}(V1,V0), P_binary_relation_type-{F}(V2), pppp19-{F}(V3,V1,V2), ilf_type-{F}(V4,V0), pppp19-{F}(V4,V1,V2) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #1073: mergings( V4 == V5, V5 == V2; #1070 ), references = 2, size of lhs = 4:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), pppp20-{F}(V2,V3,V1) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #1076: exists( #81, #1074 ), references = 1, size of lhs = 2:
% 32.08/32.25 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #1078: exists( #88, #1075 ), references = 1, size of lhs = 1:
% 32.08/32.25 P_set_type-{F}(V0) | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 #1080: exists( #87, #1077 ), references = 1, size of lhs = 0:
% 32.08/32.25 FALSE | FALSE
% 32.08/32.25 (used 0 times, uses = {})
% 32.08/32.25
% 32.08/32.25 number of learnt formulas = 89
% 32.08/32.25
% 32.08/32.25
% 32.08/32.25 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.08/32.25
% 32.08/32.25 randbase = 1
%------------------------------------------------------------------------------