TSTP Solution File: SET658+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:16:33 EDT 2022
% Result : Theorem 5.32s 5.54s
% Output : Refutation 5.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat Jul 23 01:34:52 EDT 2022
% 0.11/0.33 % CPUTime :
% 5.32/5.54 GeoParameters:
% 5.32/5.54
% 5.32/5.54 tptp_input = 1
% 5.32/5.54 tptp_output = 0
% 5.32/5.54 nonempty = 1
% 5.32/5.54 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.32/5.54 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.32/5.54
% 5.32/5.54
% 5.32/5.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.32/5.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.32/5.54
% 5.32/5.54 RuleSystem INPUT:
% 5.32/5.54
% 5.32/5.54 Initial Rules:
% 5.32/5.54 #0: input, references = 8, size of lhs = 8:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_domain_of-{F}(V3,V4), P_range_of-{F}(V3,V5), P_relation_type-{F}(V2,V5,V6), ilf_type-{F}(V3,V1), subset-{F}(V4,V2) | ilf_type-{T}(V3,V6)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #1: input, references = 3, size of lhs = 6:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #2: input, references = 3, size of lhs = 6:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #3: input, references = 3, size of lhs = 3:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp7-{T}(V2,V3,V4,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #4: input, references = 3, size of lhs = 5:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #5: input, references = 3, size of lhs = 2:
% 5.32/5.54 pppp7-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | member-{T}(V4,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #6: input, references = 3, size of lhs = 2:
% 5.32/5.54 pppp7-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #7: input, references = 3, size of lhs = 4:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #8: input, references = 3, size of lhs = 6:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #9: input, references = 3, size of lhs = 6:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #10: input, references = 3, size of lhs = 3:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp1-{F}(V2,V3) | EXISTS V4: pppp8-{T}(V2,V3,V4,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #11: input, references = 3, size of lhs = 5:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #12: input, references = 3, size of lhs = 2:
% 5.32/5.54 pppp8-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V1,V4) | member-{T}(V4,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #13: input, references = 3, size of lhs = 2:
% 5.32/5.54 pppp8-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V1,V4) | ilf_type-{T}(V2,V3)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #14: input, references = 3, size of lhs = 4:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #15: input, references = 3, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), ilf_type-{F}(V2,V1) | pppp2-{T}(V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #16: input, references = 15, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), pppp2-{F}(V2) | ilf_type-{T}(V2,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #17: input, references = 3, size of lhs = 3:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp2-{F}(V2) | relation_like-{T}(V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #18: input, references = 3, size of lhs = 3:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp2-{F}(V2) | ilf_type-{T}(V2,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #19: input, references = 15, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), relation_like-{F}(V2), ilf_type-{F}(V2,V0) | pppp2-{T}(V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #20: input, references = 3, size of lhs = 2:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1) | EXISTS V2: pppp9-{T}(V1,V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #21: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp9-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #22: input, references = 7, size of lhs = 8:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #23: input, references = 7, size of lhs = 8:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #24: input, references = 3, size of lhs = 5:
% 5.32/5.54 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: pppp10-{T}(V4,V5)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #25: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp10-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #26: input, references = 3, size of lhs = 5:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #27: input, references = 3, size of lhs = 5:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #28: input, references = 7, size of lhs = 8:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #29: input, references = 3, size of lhs = 8:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #30: input, references = 3, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_subset_type-{F}(V2,V3), ilf_type-{F}(V2,V0) | EXISTS V4: pppp11-{T}(V3,V4)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #31: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp11-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #32: input, references = 3, size of lhs = 5:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #33: input, references = 3, size of lhs = 5:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #34: input, references = 3, size of lhs = 5:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #35: input, references = 3, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2, #-{F} V3 | pppp3-{T}(V2,V3), pppp20-{T}(V2,V3,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #36: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V1,V3,V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #37: input, references = 3, size of lhs = 2:
% 5.32/5.54 pppp12-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #38: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp12-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #39: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp12-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #40: input, references = 4, size of lhs = 3:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0) | subset-{T}(V2,V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #41: input, references = 3, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), relation_like-{F}(V2) | pppp4-{T}(V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #42: input, references = 7, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), pppp4-{F}(V2) | relation_like-{T}(V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #43: input, references = 3, size of lhs = 5:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #44: input, references = 5, size of lhs = 3:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | pppp4-{T}(V2), pppp21-{T}(V2,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #45: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp21-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #46: input, references = 3, size of lhs = 4:
% 5.32/5.54 pppp15-{F}(V0,V5,V2), ilf_type-{F}(V3,V2), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V2) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #47: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp15-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #48: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp15-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #49: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp14-{F}(V0,V1,V2) | EXISTS V3: pppp13-{T}(V0,V1,V3,V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #50: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp14-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #51: input, references = 3, size of lhs = 3:
% 5.32/5.54 pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V0 == V4 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #52: input, references = 3, size of lhs = 2:
% 5.32/5.54 pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #53: input, references = 8, size of lhs = 7:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #54: input, references = 4, size of lhs = 6:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #55: input, references = 5, size of lhs = 6:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #56: input, references = 5, size of lhs = 5:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #57: input, references = 5, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2, #-{F} V3 | pppp5-{T}(V2,V3), pppp22-{T}(V2,V3,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #58: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp22-{F}(V0,V1,V2) | EXISTS V3: pppp16-{T}(V0,V1,V3,V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #59: input, references = 3, size of lhs = 2:
% 5.32/5.54 pppp16-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #60: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp16-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #61: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp16-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #62: input, references = 4, size of lhs = 5:
% 5.32/5.54 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
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #63: input, references = 3, size of lhs = 4:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #64: input, references = 4, size of lhs = 6:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #65: input, references = 3, size of lhs = 6:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #66: input, references = 4, size of lhs = 4:
% 5.32/5.54 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), pppp23-{T}(V3)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #67: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp23-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #68: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp17-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #69: input, references = 3, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), empty-{F}(V2) | pppp6-{T}(V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #70: input, references = 7, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), pppp6-{F}(V2) | empty-{T}(V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #71: input, references = 5, size of lhs = 5:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp6-{F}(V2), ilf_type-{F}(V3,V0), member-{F}(V3,V2) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #72: input, references = 6, size of lhs = 3:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | pppp6-{T}(V2), pppp24-{T}(V2,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #73: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp24-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V2,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #74: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp18-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #75: input, references = 3, size of lhs = 1:
% 5.32/5.54 pppp18-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #76: input, references = 6, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), empty-{F}(V2), ilf_type-{F}(V2,V0) | relation_like-{T}(V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #77: input, references = 8, size of lhs = 9:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_relation_type-{F}(V2,V3,V4), ilf_type-{F}(V3,V0), P_domain-{F}(V2,V3,V5,V6), P_domain_of-{F}(V5,V7), ilf_type-{F}(V5,V4), V6 == V7 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #78: input, references = 9, size of lhs = 8:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_subset_type-{F}(V2,V3), ilf_type-{F}(V2,V0), P_relation_type-{F}(V2,V4,V5), ilf_type-{F}(V4,V0), P_domain-{F}(V2,V4,V6,V7), ilf_type-{F}(V6,V5) | ilf_type-{T}(V7,V3)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #79: input, references = 7, size of lhs = 9:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_relation_type-{F}(V2,V3,V4), ilf_type-{F}(V3,V0), P_range-{F}(V2,V3,V5,V6), P_range_of-{F}(V5,V7), ilf_type-{F}(V5,V4), V6 == V7 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #80: input, references = 5, size of lhs = 8:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_relation_type-{F}(V2,V3,V4), P_subset_type-{F}(V3,V5), ilf_type-{F}(V3,V0), P_range-{F}(V2,V3,V6,V7), ilf_type-{F}(V6,V4) | ilf_type-{T}(V7,V5)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #81: input, references = 11, size of lhs = 3:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | ilf_type-{T}(V2,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #82: input, references = 11, size of lhs = 2:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1) | EXISTS V2: pppp19-{T}(V2,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #83: input, references = 4, size of lhs = 5:
% 5.32/5.54 pppp19-{F}(V0,V1), P_domain_of-{F}(V0,V2), P_range_of-{F}(V0,V3), P_relation_type-{F}(V2,V3,V4), ilf_type-{F}(V0,V4) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #84: input, references = 4, size of lhs = 4:
% 5.32/5.54 pppp19-{F}(V0,V1), P_domain_of-{F}(V0,V2), P_range_of-{F}(V0,V3), P_relation_type-{F}(V2,V3,V4) | ilf_type-{T}(V0,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #85: input, references = 4, size of lhs = 0:
% 5.32/5.54 FALSE | EXISTS V0: P_set_type-{T}(V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #86: input, references = 4, size of lhs = 0:
% 5.32/5.54 FALSE | EXISTS V0: P_binary_relation_type-{T}(V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #87: input, references = 5, size of lhs = 1:
% 5.32/5.54 #-{F} V0 | EXISTS V1: P_domain_of-{T}(V0,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #88: input, references = 8, size of lhs = 2:
% 5.32/5.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_type-{T}(V0,V1,V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #89: input, references = 5, size of lhs = 1:
% 5.32/5.54 #-{F} V0 | EXISTS V1: P_range_of-{T}(V0,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #90: input, references = 3, size of lhs = 2:
% 5.32/5.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #91: input, references = 8, size of lhs = 1:
% 5.32/5.54 #-{F} V0 | EXISTS V1: P_subset_type-{T}(V0,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #92: input, references = 4, size of lhs = 2:
% 5.32/5.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #93: input, references = 3, size of lhs = 1:
% 5.32/5.54 #-{F} V0 | EXISTS V1: P_member_type-{T}(V0,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #94: input, references = 3, size of lhs = 1:
% 5.32/5.54 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #95: input, references = 6, size of lhs = 3:
% 5.32/5.54 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_domain-{T}(V0,V1,V2,V3)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #96: input, references = 6, size of lhs = 3:
% 5.32/5.54 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_range-{T}(V0,V1,V2,V3)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 number of initial rules = 97
% 5.32/5.54
% 5.32/5.54 Simplifiers:
% 5.32/5.54 #97: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 P_set_type-{F}(V0), P_set_type-{F}(V1), V0 == V1 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #98: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 P_binary_relation_type-{F}(V0), P_binary_relation_type-{F}(V1), V0 == V1 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #99: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 P_domain_of-{F}(V0,V1), P_domain_of-{F}(V0,V3), V1 == V3 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #100: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 P_relation_type-{F}(V0,V1,V2), P_relation_type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #101: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 P_range_of-{F}(V0,V1), P_range_of-{F}(V0,V3), V1 == V3 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #102: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #103: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 P_subset_type-{F}(V0,V1), P_subset_type-{F}(V0,V3), V1 == V3 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #104: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #105: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 P_member_type-{F}(V0,V1), P_member_type-{F}(V0,V3), V1 == V3 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #106: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #107: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 P_domain-{F}(V0,V1,V2,V3), P_domain-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #108: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 P_range-{F}(V0,V1,V2,V3), P_range-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #109: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #110: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #111: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #112: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #113: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #114: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #115: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #116: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #117: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #118: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #119: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #120: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #121: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #122: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V2), V1 == V4 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #123: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V2 == V5 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #124: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #125: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V2 == V5 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #126: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #127: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #128: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #129: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V4,V2), V1 == V4 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #130: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V2 == V5 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #131: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp19-{F}(V0,V1), pppp19-{F}(V2,V1), V0 == V2 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #132: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp19-{F}(V0,V1), pppp19-{F}(V2,V3), V1 == V3 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #133: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V2 == V5 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #134: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V1 == V3 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #135: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V4,V5), V2 == V5 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #136: unsound, references = 3, size of lhs = 3:
% 5.32/5.54 pppp24-{F}(V0,V1), pppp24-{F}(V2,V3), V1 == V3 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 number of simplifiers = 40
% 5.32/5.54
% 5.32/5.54 Learnt:
% 5.32/5.54 #150: exists( #95, #77 ), references = 7, size of lhs = 7:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_relation_type-{F}(V2,V3,V4), ilf_type-{F}(V5,V4), P_domain_of-{F}(V5,V6) | P_domain-{T}(V2,V3,V5,V6)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #194: mergings( V3 == V7, V7 == V10, V10 == V13, V13 == V19, V19 == V24, V24 == V27, V4 == V8, V8 == V11, V11 == V14, V14 == V20, V20 == V25, V25 == V28, V6 == V9; #179 ), references = 3, size of lhs = 25:
% 5.32/5.54 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_relation_type-{F}(V6,V7,V5), ilf_type-{F}(V7,V0), P_subset_type-{F}(V6,V8), P_binary_relation_type-{F}(V9), ilf_type-{F}(V10,V9), P_range_of-{F}(V10,V11), ilf_type-{F}(V11,V0), P_domain_of-{F}(V10,V12), subset-{F}(V12,V13), ilf_type-{F}(V13,V0), P_subset_type-{F}(V13,V4), P_domain_of-{F}(V12,V14), ilf_type-{F}(V15,V0), P_relation_type-{F}(V15,V16,V8), ilf_type-{F}(V16,V0), P_domain-{F}(V15,V16,V14,V17), P_domain_of-{F}(V14,V18), V17 == V18 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #208: mergings( V3 == V7, V7 == V10, V10 == V13, V13 == V19, V19 == V24, V24 == V27, V4 == V8, V8 == V11, V11 == V14, V14 == V20, V20 == V25, V25 == V28, V6 == V9; #180 ), references = 1, size of lhs = 25:
% 5.32/5.54 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_relation_type-{F}(V6,V7,V5), ilf_type-{F}(V7,V0), P_subset_type-{F}(V6,V8), P_binary_relation_type-{F}(V9), ilf_type-{F}(V10,V9), P_range_of-{F}(V10,V11), ilf_type-{F}(V11,V0), P_domain_of-{F}(V10,V12), subset-{F}(V12,V13), ilf_type-{F}(V13,V0), P_subset_type-{F}(V13,V4), P_domain_of-{F}(V12,V14), ilf_type-{F}(V15,V0), P_relation_type-{F}(V15,V16,V8), ilf_type-{F}(V16,V0), P_range-{F}(V15,V16,V14,V17), P_range_of-{F}(V14,V18), V17 == V18 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #224: mergings( V2 == V7, V7 == V10, V10 == V12, V12 == V17, V17 == V22, V22 == V25, V3 == V8, V8 == V11, V11 == V13, V13 == V18, V18 == V23, V23 == V26, V5 == V9; #209 ), references = 3, size of lhs = 23:
% 5.32/5.54 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_relation_type-{F}(V5,V6,V4), ilf_type-{F}(V6,V0), P_subset_type-{F}(V5,V7), P_binary_relation_type-{F}(V8), ilf_type-{F}(V9,V8), P_range_of-{F}(V9,V10), ilf_type-{F}(V10,V0), P_domain_of-{F}(V9,V11), subset-{F}(V11,V3), P_domain_of-{F}(V11,V12), ilf_type-{F}(V13,V0), P_relation_type-{F}(V13,V14,V7), ilf_type-{F}(V14,V0), P_domain-{F}(V13,V14,V12,V15), P_domain_of-{F}(V12,V16), V15 == V16 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #238: mergings( V2 == V7, V7 == V10, V10 == V12, V12 == V17, V17 == V22, V22 == V25, V3 == V8, V8 == V11, V11 == V13, V13 == V18, V18 == V23, V23 == V26, V5 == V9; #210 ), references = 1, size of lhs = 23:
% 5.32/5.54 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_relation_type-{F}(V5,V6,V4), ilf_type-{F}(V6,V0), P_subset_type-{F}(V5,V7), P_binary_relation_type-{F}(V8), ilf_type-{F}(V9,V8), P_range_of-{F}(V9,V10), ilf_type-{F}(V10,V0), P_domain_of-{F}(V9,V11), subset-{F}(V11,V3), P_domain_of-{F}(V11,V12), ilf_type-{F}(V13,V0), P_relation_type-{F}(V13,V14,V7), ilf_type-{F}(V14,V0), P_range-{F}(V13,V14,V12,V15), P_range_of-{F}(V12,V16), V15 == V16 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #240: exists( #96, #79 ), references = 3, size of lhs = 7:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_relation_type-{F}(V2,V3,V4), ilf_type-{F}(V5,V4), P_range_of-{F}(V5,V6) | P_range-{T}(V2,V3,V5,V6)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #262: mergings( V3 == V7, V7 == V10, V10 == V13, V4 == V8, V8 == V11, V11 == V14, V1 == V9; #253 ), references = 1, size of lhs = 15:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V1), P_domain_of-{F}(V2,V3), subset-{F}(V3,V4), ilf_type-{F}(V4,V0), P_range_of-{F}(V2,V5), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V0), P_relation_type-{F}(V7,V8,V6), ilf_type-{F}(V8,V0), P_domain-{F}(V7,V8,V5,V9), P_domain_of-{F}(V5,V10), V9 == V10 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #271: mergings( V4 == V10, V10 == V12, V12 == V15, V5 == V11, V11 == V13, V13 == V16, V8 == V2; #263 ), references = 1, size of lhs = 13:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V1), P_domain_of-{F}(V2,V3), subset-{F}(V3,V4), ilf_type-{F}(V4,V0), P_range_of-{F}(V2,V5), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V0), P_relation_type-{F}(V7,V8,V6), ilf_type-{F}(V8,V0), P_domain_of-{F}(V5,V9) | P_domain-{T}(V7,V8,V5,V9)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #286: mergings( V3 == V7, V7 == V10, V10 == V13, V4 == V8, V8 == V11, V11 == V14, V1 == V9; #278 ), references = 2, size of lhs = 15:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V1), P_domain_of-{F}(V2,V3), subset-{F}(V3,V4), ilf_type-{F}(V4,V0), P_range_of-{F}(V2,V5), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V0), P_relation_type-{F}(V7,V8,V6), ilf_type-{F}(V8,V0), P_range-{F}(V7,V8,V5,V9), P_range_of-{F}(V5,V10), V9 == V10 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #295: mergings( V4 == V10, V10 == V12, V12 == V15, V5 == V11, V11 == V13, V13 == V16, V8 == V2; #287 ), references = 1, size of lhs = 13:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V1), P_domain_of-{F}(V2,V3), subset-{F}(V3,V4), ilf_type-{F}(V4,V0), P_range_of-{F}(V2,V5), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V0), P_relation_type-{F}(V7,V8,V6), ilf_type-{F}(V8,V0), P_range_of-{F}(V5,V9) | P_range-{T}(V7,V8,V5,V9)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #302: mergings( V0 == V3, V3 == V5, V1 == V4, V4 == V6; #297 ), references = 1, size of lhs = 5:
% 5.32/5.54 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) | pppp24-{T}(V3,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #312: mergings( V0 == V4, V4 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V9; #305 ), references = 1, size of lhs = 6:
% 5.32/5.54 pppp6-{F}(V0), ilf_type-{F}(V0,V1), P_set_type-{F}(V1), P_power_set-{F}(V0,V2), ilf_type-{F}(V2,V1), P_binary_relation_type-{F}(V3) | pppp22-{T}(V2,V0,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #325: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V11, V1 == V5, V5 == V7, V7 == V9, V9 == V12; #316 ), references = 1, size of lhs = 8:
% 5.32/5.54 pppp6-{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) | pppp22-{T}(V2,V3,V1)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #329: mergings( V0 == V4, V1 == V5; #326 ), references = 1, size of lhs = 6:
% 5.32/5.54 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) | pppp23-{T}(V4)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #333: mergings( V6 == V0; #331 ), references = 1, size of lhs = 8:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V1), P_domain_of-{F}(V2,V3), subset-{F}(V3,V3), ilf_type-{F}(V3,V0), pppp19-{F}(V2,V4), P_range_of-{F}(V2,V5) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #336: mergings( V4 == V5; #334 ), references = 2, size of lhs = 7:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V1), P_domain_of-{F}(V2,V3), subset-{F}(V3,V3), ilf_type-{F}(V3,V0), pppp19-{F}(V2,V4) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #342: mergings( V2 == V3, V3 == V5; #339 ), references = 8, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V1), pppp19-{F}(V2,V3) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #351: mergings( V0 == V3, V3 == V7, V1 == V7, V7 == V4, V4 == V5, V5 == V6; #344 ), references = 1, size of lhs = 2:
% 5.32/5.54 P_binary_relation_type-{F}(V0), P_set_type-{F}(V0) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #363: mergings( V0 == V4, V4 == V9, V9 == V15, V1 == V3, V3 == V5, V5 == V10, V10 == V14; #355 ), references = 1, size of lhs = 11:
% 5.32/5.54 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), ilf_type-{F}(V6,V1), P_relation_type-{F}(V5,V6,V0), P_cross_product-{F}(V5,V6,V7), P_subset_type-{F}(V7,V4) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #376: mergings( V0 == V4, V4 == V9, V9 == V11, V1 == V3, V3 == V5, V5 == V10, V10 == V12; #368 ), references = 1, size of lhs = 6:
% 5.32/5.54 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
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #389: mergings( V0 == V3, V3 == V5, V5 == V11, V11 == V17, V1 == V4, V4 == V6, V6 == V12, V12 == V16; #380 ), references = 1, size of lhs = 12:
% 5.32/5.54 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,V5), ilf_type-{F}(V6,V1), ilf_type-{F}(V7,V1), P_relation_type-{F}(V6,V7,V0), P_cross_product-{F}(V6,V7,V8), P_subset_type-{F}(V8,V5) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #399: mergings( V2 == V4, V4 == V6, V6 == V10, V10 == V15, V3 == V5, V5 == V7, V7 == V11, V11 == V14; #390 ), references = 1, size of lhs = 10:
% 5.32/5.54 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}(V5,V1), ilf_type-{F}(V6,V1), P_cross_product-{F}(V5,V6,V4), P_relation_type-{F}(V5,V6,V0) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #410: mergings( V0 == V5, V5 == V13, V1 == V3, V3 == V4, V4 == V9, V9 == V12; #403 ), references = 1, size of lhs = 10:
% 5.32/5.54 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
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #425: mergings( V0 == V5, V5 == V12, V12 == V15, V1 == V3, V3 == V4, V4 == V6, V6 == V11, V11 == V16; #416 ), references = 1, size of lhs = 10:
% 5.32/5.54 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) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #444: mergings( V2 == V8, V8 == V12, V12 == V14, V14 == V16, V3 == V9, V9 == V13, V13 == V15, V15 == V17; #434 ), references = 2, size of lhs = 17:
% 5.32/5.54 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}(V5,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V3), P_binary_relation_type-{F}(V8), ilf_type-{F}(V9,V0), P_relation_type-{F}(V9,V10,V8), ilf_type-{F}(V10,V0), P_domain-{F}(V9,V10,V5,V11), P_domain_of-{F}(V5,V12), V11 == V12 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #454: mergings( V4 == V10, V10 == V14, V14 == V16, V16 == V18, V5 == V11, V11 == V15, V15 == V17, V17 == V19; #445 ), references = 1, size of lhs = 15:
% 5.32/5.54 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}(V5,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V3), P_binary_relation_type-{F}(V8), ilf_type-{F}(V9,V0), P_relation_type-{F}(V9,V10,V8), ilf_type-{F}(V10,V0), P_domain_of-{F}(V5,V11) | P_domain-{T}(V9,V10,V5,V11)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #468: mergings( V2 == V8, V8 == V12, V12 == V14, V14 == V16, V3 == V9, V9 == V13, V13 == V15, V15 == V17; #459 ), references = 1, size of lhs = 17:
% 5.32/5.54 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}(V5,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V3), P_binary_relation_type-{F}(V8), ilf_type-{F}(V9,V0), P_relation_type-{F}(V9,V10,V8), ilf_type-{F}(V10,V0), P_range-{F}(V9,V10,V5,V11), P_range_of-{F}(V5,V12), V11 == V12 | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #478: mergings( V4 == V10, V10 == V14, V14 == V16, V16 == V18, V5 == V11, V11 == V15, V15 == V17, V17 == V19; #469 ), references = 1, size of lhs = 15:
% 5.32/5.54 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}(V5,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V3), P_binary_relation_type-{F}(V8), ilf_type-{F}(V9,V0), P_relation_type-{F}(V9,V10,V8), ilf_type-{F}(V10,V0), P_range_of-{F}(V5,V11) | P_range-{T}(V9,V10,V5,V11)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #494: mergings( V0 == V4, V4 == V10, V10 == V11, V11 == V17, V1 == V3, V3 == V5, V5 == V12, V12 == V16, V16 == V18; #484 ), references = 1, size of lhs = 11:
% 5.32/5.54 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) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #505: mergings( V2 == V5, V5 == V9, V9 == V10, V10 == V15, V3 == V4, V4 == V6, V6 == V11, V11 == V14, V14 == V16; #495 ), references = 1, size of lhs = 9:
% 5.32/5.54 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
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #516: mergings( V3 == V6, V6 == V8, V8 == V9, V9 == V12, V4 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13; #506 ), references = 1, size of lhs = 5:
% 5.32/5.54 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_relation_type-{F}(V1,V2,V0), ilf_type-{F}(V2,V0), P_binary_relation_type-{F}(V3) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #550: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V1 == V4, V4 == V6, V6 == V8, V8 == V11; #538 ), references = 1, size of lhs = 15:
% 5.32/5.54 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_binary_relation_type-{F}(V2), P_domain_of-{F}(V1,V3), subset-{F}(V3,V4), ilf_type-{F}(V4,V0), P_range_of-{F}(V1,V5), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V0), P_relation_type-{F}(V7,V8,V6), ilf_type-{F}(V8,V0), P_range-{F}(V7,V8,V5,V9), P_range_of-{F}(V5,V10), V9 == V10 | pppp24-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #562: mergings( V4 == V6; #558 ), references = 2, size of lhs = 5:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp19-{F}(V2,V1), P_domain_of-{F}(V2,V3), P_range_of-{F}(V2,V4) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #582: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V8, V1 == V4, V4 == V6, V6 == V16; #572 ), references = 1, size of lhs = 23:
% 5.32/5.54 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), P_relation_type-{F}(V6,V7,V5), ilf_type-{F}(V7,V0), P_subset_type-{F}(V6,V8), P_binary_relation_type-{F}(V9), P_range_of-{F}(V1,V10), ilf_type-{F}(V10,V0), P_domain_of-{F}(V1,V11), subset-{F}(V11,V4), P_domain_of-{F}(V11,V12), ilf_type-{F}(V13,V0), P_relation_type-{F}(V13,V14,V8), ilf_type-{F}(V14,V0), P_domain-{F}(V13,V14,V12,V15), P_domain_of-{F}(V12,V16), V15 == V16 | pppp21-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #590: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V8, V1 == V4, V4 == V6, V6 == V17; #573 ), references = 1, size of lhs = 25:
% 5.32/5.54 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), P_subset_type-{F}(V4,V5), P_relation_type-{F}(V2,V3,V6), ilf_type-{F}(V7,V0), P_relation_type-{F}(V7,V8,V6), ilf_type-{F}(V8,V0), P_subset_type-{F}(V7,V9), P_binary_relation_type-{F}(V10), P_range_of-{F}(V1,V11), ilf_type-{F}(V11,V0), P_domain_of-{F}(V1,V12), subset-{F}(V12,V13), ilf_type-{F}(V13,V0), P_subset_type-{F}(V13,V5), P_domain_of-{F}(V12,V14), ilf_type-{F}(V15,V0), P_relation_type-{F}(V15,V16,V9), ilf_type-{F}(V16,V0), P_domain-{F}(V15,V16,V14,V17), P_domain_of-{F}(V14,V18), V17 == V18 | pppp21-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #618: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V1 == V4, V4 == V6, V6 == V8, V8 == V18; #606 ), references = 1, size of lhs = 23:
% 5.32/5.54 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), P_relation_type-{F}(V6,V7,V5), ilf_type-{F}(V7,V0), P_subset_type-{F}(V6,V8), P_binary_relation_type-{F}(V9), P_range_of-{F}(V1,V10), ilf_type-{F}(V10,V0), P_domain_of-{F}(V1,V11), subset-{F}(V11,V4), P_domain_of-{F}(V11,V12), ilf_type-{F}(V13,V0), P_relation_type-{F}(V13,V14,V8), ilf_type-{F}(V14,V0), P_domain-{F}(V13,V14,V12,V15), P_domain_of-{F}(V12,V16), V15 == V16 | pppp24-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #628: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V1 == V4, V4 == V6, V6 == V8, V8 == V19; #607 ), references = 1, size of lhs = 25:
% 5.32/5.54 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), P_subset_type-{F}(V4,V5), P_relation_type-{F}(V2,V3,V6), ilf_type-{F}(V7,V0), P_relation_type-{F}(V7,V8,V6), ilf_type-{F}(V8,V0), P_subset_type-{F}(V7,V9), P_binary_relation_type-{F}(V10), P_range_of-{F}(V1,V11), ilf_type-{F}(V11,V0), P_domain_of-{F}(V1,V12), subset-{F}(V12,V13), ilf_type-{F}(V13,V0), P_subset_type-{F}(V13,V5), P_domain_of-{F}(V12,V14), ilf_type-{F}(V15,V0), P_relation_type-{F}(V15,V16,V9), ilf_type-{F}(V16,V0), P_domain-{F}(V15,V16,V14,V17), P_domain_of-{F}(V14,V18), V17 == V18 | pppp24-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #634: mergings( V0 == V5, V1 == V6; #631 ), references = 1, size of lhs = 8:
% 5.32/5.54 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)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #668: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V14, V14 == V17, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V18; #653 ), references = 1, size of lhs = 14:
% 5.32/5.54 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_domain_of-{F}(V1,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_relation_type-{F}(V3,V4,V5), P_binary_relation_type-{F}(V5), P_subset_type-{F}(V3,V6), ilf_type-{F}(V7,V0), P_relation_type-{F}(V7,V8,V6), ilf_type-{F}(V8,V0), P_domain-{F}(V7,V8,V2,V9), P_domain_of-{F}(V2,V10), V9 == V10 | pppp21-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #681: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V14, V14 == V17, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V23; #654 ), references = 1, size of lhs = 22:
% 5.32/5.54 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_domain_of-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_relation_type-{F}(V3,V4,V5), P_binary_relation_type-{F}(V5), P_subset_type-{F}(V3,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), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), P_cross_product-{F}(V10,V11,V9), ilf_type-{F}(V12,V0), P_relation_type-{F}(V12,V13,V5), ilf_type-{F}(V13,V0), P_domain-{F}(V12,V13,V2,V14), P_domain_of-{F}(V2,V15), V14 == V15 | pppp21-{T}(V1,V0)
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #713: exists( #89, #562 ), references = 1, size of lhs = 4:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp19-{F}(V2,V1), P_domain_of-{F}(V2,V3) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #715: exists( #87, #712 ), references = 1, size of lhs = 3:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp19-{F}(V2,V1) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #718: mergings( V0 == V3; #716 ), references = 1, size of lhs = 2:
% 5.32/5.54 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #721: mergings( V1 == V2; #719 ), references = 1, size of lhs = 1:
% 5.32/5.54 P_set_type-{F}(V0) | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 #723: exists( #85, #719 ), references = 1, size of lhs = 0:
% 5.32/5.54 FALSE | FALSE
% 5.32/5.54 (used 0 times, uses = {})
% 5.32/5.54
% 5.32/5.54 number of learnt formulas = 45
% 5.32/5.54
% 5.32/5.54
% 5.32/5.54 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.32/5.54
% 5.32/5.54 randbase = 1
%------------------------------------------------------------------------------