TSTP Solution File: SET025-8 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET025-8 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:15:37 EDT 2022
% Result : Unsatisfiable 130.09s 130.28s
% Output : Refutation 130.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET025-8 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jul 23 02:46:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 130.09/130.28 GeoParameters:
% 130.09/130.28
% 130.09/130.28 tptp_input = 1
% 130.09/130.28 tptp_output = 0
% 130.09/130.28 nonempty = 1
% 130.09/130.28 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 130.09/130.28 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 130.09/130.28
% 130.09/130.28
% 130.09/130.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 130.09/130.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 130.09/130.28
% 130.09/130.28 RuleSystem INPUT:
% 130.09/130.28
% 130.09/130.28 Initial Rules:
% 130.09/130.28 #0: input, references = 7, size of lhs = 1:
% 130.09/130.28 member-{F}(V0,V1) | little_set-{T}(V0)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1: input, references = 6, size of lhs = 2:
% 130.09/130.28 P_f1-{F}(V0,V1,V2), V0 == V1 | little_set-{T}(V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2: input, references = 3, size of lhs = 2:
% 130.09/130.28 P_f1-{F}(V0,V1,V2), V0 == V1 | member-{T}(V2,V0), member-{T}(V2,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3: input, references = 6, size of lhs = 4:
% 130.09/130.28 P_f1-{F}(V0,V1,V2), member-{F}(V2,V0), member-{F}(V2,V1), V0 == V1 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4: input, references = 30, size of lhs = 4:
% 130.09/130.28 P_non_ordered_pair-{F}(V2,V0,V3), member-{F}(V1,V3), V1 == V0, V1 == V2 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5: input, references = 4, size of lhs = 2:
% 130.09/130.28 little_set-{F}(V1), P_non_ordered_pair-{F}(V1,V2,V3) | member-{T}(V1,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6: input, references = 3, size of lhs = 2:
% 130.09/130.28 little_set-{F}(V1), P_non_ordered_pair-{F}(V2,V1,V3) | member-{T}(V1,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #7: input, references = 6, size of lhs = 1:
% 130.09/130.28 P_non_ordered_pair-{F}(V0,V1,V2) | little_set-{T}(V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #8: input, references = 4, size of lhs = 3:
% 130.09/130.28 P_singleton_set-{F}(V0,V1), P_non_ordered_pair-{F}(V0,V0,V2), V1 == V2 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #9: input, references = 5, size of lhs = 5:
% 130.09/130.28 P_ordered_pair-{F}(V0,V1,V2), P_singleton_set-{F}(V0,V3), P_non_ordered_pair-{F}(V0,V1,V4), P_non_ordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #10: input, references = 3, size of lhs = 2:
% 130.09/130.28 P_f2-{F}(V0,V1), ordered_pair_predicate-{F}(V0) | little_set-{T}(V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #11: input, references = 4, size of lhs = 2:
% 130.09/130.28 P_f3-{F}(V0,V1), ordered_pair_predicate-{F}(V0) | little_set-{T}(V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #12: input, references = 4, size of lhs = 5:
% 130.09/130.28 P_f2-{F}(V0,V1), P_f3-{F}(V0,V2), P_ordered_pair-{F}(V1,V2,V3), ordered_pair_predicate-{F}(V0), V0 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #13: input, references = 6, size of lhs = 3:
% 130.09/130.28 little_set-{F}(V0), P_ordered_pair-{F}(V1,V0,V2), little_set-{F}(V1) | ordered_pair_predicate-{T}(V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #14: input, references = 3, size of lhs = 3:
% 130.09/130.28 P_first-{F}(V0,V2), P_f4-{F}(V1,V0,V3), member-{F}(V1,V2) | little_set-{T}(V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #15: input, references = 3, size of lhs = 3:
% 130.09/130.28 P_first-{F}(V0,V2), P_f5-{F}(V1,V0,V3), member-{F}(V1,V2) | little_set-{T}(V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #16: input, references = 3, size of lhs = 6:
% 130.09/130.28 P_first-{F}(V0,V2), P_f4-{F}(V1,V0,V3), P_f5-{F}(V1,V0,V4), P_ordered_pair-{F}(V3,V4,V5), member-{F}(V1,V2), V0 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #17: input, references = 3, size of lhs = 3:
% 130.09/130.28 P_first-{F}(V0,V2), P_f4-{F}(V1,V0,V3), member-{F}(V1,V2) | member-{T}(V1,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #18: input, references = 3, size of lhs = 5:
% 130.09/130.28 little_set-{F}(V0), P_ordered_pair-{F}(V1,V0,V2), little_set-{F}(V1), member-{F}(V3,V1), P_first-{F}(V2,V5) | member-{T}(V3,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #19: input, references = 3, size of lhs = 3:
% 130.09/130.28 P_second-{F}(V0,V2), P_f6-{F}(V1,V0,V3), member-{F}(V1,V2) | little_set-{T}(V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #20: input, references = 3, size of lhs = 3:
% 130.09/130.28 P_second-{F}(V0,V2), P_f7-{F}(V1,V0,V3), member-{F}(V1,V2) | little_set-{T}(V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #21: input, references = 3, size of lhs = 6:
% 130.09/130.28 P_second-{F}(V0,V2), P_f6-{F}(V1,V0,V3), P_f7-{F}(V1,V0,V4), P_ordered_pair-{F}(V3,V4,V5), member-{F}(V1,V2), V0 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #22: input, references = 3, size of lhs = 3:
% 130.09/130.28 P_second-{F}(V0,V2), P_f7-{F}(V1,V0,V3), member-{F}(V1,V2) | member-{T}(V1,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #23: input, references = 3, size of lhs = 5:
% 130.09/130.28 little_set-{F}(V0), member-{F}(V1,V0), P_ordered_pair-{F}(V2,V0,V3), little_set-{F}(V2), P_second-{F}(V3,V5) | member-{T}(V1,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #24: input, references = 3, size of lhs = 2:
% 130.09/130.28 P_estin-{F}(V0), member-{F}(V1,V0) | ordered_pair_predicate-{T}(V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #25: input, references = 3, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_first-{F}(V1,V2), P_second-{F}(V1,V3), member-{F}(V1,V0) | member-{T}(V2,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #26: input, references = 4, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_first-{F}(V1,V2), P_second-{F}(V1,V3), little_set-{F}(V1), ordered_pair_predicate-{F}(V1), member-{F}(V2,V3) | member-{T}(V1,V0)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #27: input, references = 12, size of lhs = 3:
% 130.09/130.28 P_estin-{F}(V0), P_intersection-{F}(V1,V3,V4), member-{F}(V2,V4) | member-{T}(V2,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #28: input, references = 3, size of lhs = 3:
% 130.09/130.28 P_estin-{F}(V0), P_intersection-{F}(V3,V1,V4), member-{F}(V2,V4) | member-{T}(V2,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #29: input, references = 7, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), member-{F}(V2,V1), P_intersection-{F}(V3,V1,V4), member-{F}(V2,V3) | member-{T}(V2,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #30: input, references = 9, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_complement-{F}(V1,V3), member-{F}(V2,V3), member-{F}(V2,V1) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #31: input, references = 3, size of lhs = 3:
% 130.09/130.28 P_estin-{F}(V0), little_set-{F}(V1), P_complement-{F}(V2,V3) | member-{T}(V1,V3), member-{T}(V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #32: input, references = 4, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_union-{F}(V1,V2,V3), P_complement-{F}(V1,V4), P_complement-{F}(V2,V5), P_intersection-{F}(V4,V5,V6), P_complement-{F}(V6,V7), V3 == V7 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #33: input, references = 6, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_domain_of-{F}(V1,V3), P_f8-{F}(V2,V1,V4), member-{F}(V2,V3) | ordered_pair_predicate-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #34: input, references = 7, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_domain_of-{F}(V1,V3), P_f8-{F}(V2,V1,V4), member-{F}(V2,V3) | member-{T}(V4,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #35: input, references = 4, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_domain_of-{F}(V1,V3), P_f8-{F}(V2,V1,V4), P_first-{F}(V4,V5), member-{F}(V2,V3), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #36: input, references = 18, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_first-{F}(V1,V2), ordered_pair_predicate-{F}(V1), little_set-{F}(V2), P_domain_of-{F}(V4,V5), member-{F}(V1,V4) | member-{T}(V2,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #37: input, references = 3, size of lhs = 3:
% 130.09/130.28 P_estin-{F}(V0), P_cross_product-{F}(V3,V2,V4), member-{F}(V1,V4) | ordered_pair_predicate-{T}(V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #38: input, references = 16, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_first-{F}(V2,V3), P_cross_product-{F}(V1,V4,V5), member-{F}(V2,V5) | member-{T}(V3,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #39: input, references = 4, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_second-{F}(V2,V3), P_cross_product-{F}(V4,V1,V5), member-{F}(V2,V5) | member-{T}(V3,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #40: input, references = 16, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_second-{F}(V1,V2), P_first-{F}(V1,V3), little_set-{F}(V1), ordered_pair_predicate-{F}(V1), member-{F}(V2,V4), P_cross_product-{F}(V5,V4,V6), member-{F}(V3,V5) | member-{T}(V1,V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #41: input, references = 3, size of lhs = 3:
% 130.09/130.28 P_estin-{F}(V0), P_converse-{F}(V2,V3), member-{F}(V1,V3) | ordered_pair_predicate-{T}(V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #42: input, references = 16, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_converse-{F}(V1,V3), P_second-{F}(V2,V4), P_first-{F}(V2,V5), P_ordered_pair-{F}(V4,V5,V6), member-{F}(V2,V3) | member-{T}(V6,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #43: input, references = 4, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_second-{F}(V1,V2), P_first-{F}(V1,V3), P_ordered_pair-{F}(V2,V3,V4), little_set-{F}(V1), ordered_pair_predicate-{F}(V1), P_converse-{F}(V5,V6), member-{F}(V4,V5) | member-{T}(V1,V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #44: input, references = 3, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_rotate_right-{F}(V1,V3), P_f9-{F}(V2,V1,V4), member-{F}(V2,V3) | little_set-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #45: input, references = 3, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_rotate_right-{F}(V1,V3), P_f10-{F}(V2,V1,V4), member-{F}(V2,V3) | little_set-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #46: input, references = 3, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_rotate_right-{F}(V1,V3), P_f11-{F}(V2,V1,V4), member-{F}(V2,V3) | little_set-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #47: input, references = 3, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_rotate_right-{F}(V1,V3), P_f9-{F}(V2,V1,V4), P_f10-{F}(V2,V1,V5), P_f11-{F}(V2,V1,V6), P_ordered_pair-{F}(V5,V6,V7), P_ordered_pair-{F}(V4,V7,V8), member-{F}(V2,V3), V2 == V8 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #48: input, references = 3, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_rotate_right-{F}(V1,V3), P_f10-{F}(V2,V1,V4), P_f11-{F}(V2,V1,V5), P_f9-{F}(V2,V1,V6), P_ordered_pair-{F}(V5,V6,V7), P_ordered_pair-{F}(V4,V7,V8), member-{F}(V2,V3) | member-{T}(V8,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #49: input, references = 3, size of lhs = 11:
% 130.09/130.28 P_estin-{F}(V0), little_set-{F}(V1), P_ordered_pair-{F}(V2,V1,V3), little_set-{F}(V2), little_set-{F}(V6), P_ordered_pair-{F}(V5,V3,V6), P_ordered_pair-{F}(V1,V5,V7), P_ordered_pair-{F}(V2,V7,V8), little_set-{F}(V5), P_rotate_right-{F}(V9,V10), member-{F}(V8,V9) | member-{T}(V6,V10)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #50: input, references = 3, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_flip_range_of-{F}(V1,V3), P_f12-{F}(V2,V1,V4), member-{F}(V2,V3) | little_set-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #51: input, references = 3, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_flip_range_of-{F}(V1,V3), P_f13-{F}(V2,V1,V4), member-{F}(V2,V3) | little_set-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #52: input, references = 3, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_flip_range_of-{F}(V1,V3), P_f14-{F}(V2,V1,V4), member-{F}(V2,V3) | little_set-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #53: input, references = 3, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_flip_range_of-{F}(V1,V3), P_f12-{F}(V2,V1,V4), P_f13-{F}(V2,V1,V5), P_f14-{F}(V2,V1,V6), P_ordered_pair-{F}(V5,V6,V7), P_ordered_pair-{F}(V4,V7,V8), member-{F}(V2,V3), V2 == V8 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #54: input, references = 3, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_flip_range_of-{F}(V1,V3), P_f12-{F}(V2,V1,V4), P_f14-{F}(V2,V1,V5), P_f13-{F}(V2,V1,V6), P_ordered_pair-{F}(V5,V6,V7), P_ordered_pair-{F}(V4,V7,V8), member-{F}(V2,V3) | member-{T}(V8,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #55: input, references = 3, size of lhs = 11:
% 130.09/130.28 P_estin-{F}(V0), little_set-{F}(V1), P_ordered_pair-{F}(V2,V1,V3), P_ordered_pair-{F}(V1,V2,V4), little_set-{F}(V2), little_set-{F}(V7), P_ordered_pair-{F}(V6,V3,V7), P_ordered_pair-{F}(V6,V4,V8), little_set-{F}(V6), P_flip_range_of-{F}(V9,V10), member-{F}(V8,V9) | member-{T}(V7,V10)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #56: input, references = 4, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_successor-{F}(V1,V2), P_singleton_set-{F}(V1,V3), P_union-{F}(V1,V3,V4), V2 == V4 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #57: input, references = 32, size of lhs = 3:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), member-{F}(V2,V1) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #58: input, references = 35, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), little_set-{F}(V3) | member-{T}(V3,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #59: input, references = 4, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3) | little_set-{T}(V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #60: input, references = 3, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3) | member-{T}(V1,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #61: input, references = 9, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_successor-{F}(V4,V5), member-{F}(V4,V3) | member-{T}(V5,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #62: input, references = 6, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_sigma-{F}(V4,V6), P_f16-{F}(V5,V4,V7), member-{F}(V5,V6) | member-{T}(V7,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #63: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_sigma-{F}(V4,V6), P_f16-{F}(V5,V4,V7), member-{F}(V5,V6) | member-{T}(V5,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #64: input, references = 6, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), member-{F}(V5,V4), P_sigma-{F}(V6,V7), member-{F}(V4,V6) | member-{T}(V5,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #65: input, references = 3, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_sigma-{F}(V4,V5), little_set-{F}(V4) | little_set-{T}(V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #66: input, references = 8, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), subset-{F}(V6,V4), member-{F}(V5,V6) | member-{T}(V5,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #67: input, references = 3, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f17-{F}(V4,V5,V6) | subset-{T}(V4,V5), member-{T}(V6,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #68: input, references = 3, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f17-{F}(V4,V5,V6), member-{F}(V6,V5) | subset-{T}(V4,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #69: input, references = 3, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), proper_subset-{F}(V4,V5) | subset-{T}(V4,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #70: input, references = 3, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), proper_subset-{F}(V5,V5) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #71: input, references = 3, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), subset-{F}(V4,V5), V4 == V5 | proper_subset-{T}(V4,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #72: input, references = 8, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_powerset-{F}(V4,V6), member-{F}(V5,V6) | subset-{T}(V5,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #73: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), little_set-{F}(V4), P_powerset-{F}(V5,V6), subset-{F}(V4,V5) | member-{T}(V4,V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #74: input, references = 4, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_powerset-{F}(V4,V5), little_set-{F}(V4) | little_set-{T}(V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #75: input, references = 4, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), relation-{F}(V4), member-{F}(V5,V4) | ordered_pair_predicate-{T}(V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #76: input, references = 3, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f18-{F}(V4,V5) | relation-{T}(V4), member-{T}(V5,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #77: input, references = 3, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f18-{F}(V4,V5), ordered_pair_predicate-{F}(V5) | relation-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #78: input, references = 4, size of lhs = 13:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), little_set-{F}(V4), little_set-{F}(V5), P_ordered_pair-{F}(V6,V5,V7), P_ordered_pair-{F}(V6,V4,V8), little_set-{F}(V6), single_valued_set-{F}(V9), member-{F}(V7,V9), member-{F}(V8,V9), V5 == V4 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #79: input, references = 3, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f19-{F}(V4,V5) | single_valued_set-{T}(V4), little_set-{T}(V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #80: input, references = 3, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f20-{F}(V4,V5) | single_valued_set-{T}(V4), little_set-{T}(V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #81: input, references = 3, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f21-{F}(V4,V5) | single_valued_set-{T}(V4), little_set-{T}(V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #82: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f19-{F}(V4,V5), P_f20-{F}(V4,V6), P_ordered_pair-{F}(V5,V6,V7) | single_valued_set-{T}(V4), member-{T}(V7,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #83: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f19-{F}(V4,V5), P_f21-{F}(V4,V6), P_ordered_pair-{F}(V5,V6,V7) | single_valued_set-{T}(V4), member-{T}(V7,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #84: input, references = 3, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f20-{F}(V4,V6), P_f21-{F}(V4,V6) | single_valued_set-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #85: input, references = 3, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), function-{F}(V4) | relation-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #86: input, references = 3, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), function-{F}(V4) | single_valued_set-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #87: input, references = 3, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), relation-{F}(V4), single_valued_set-{F}(V4) | function-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #88: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_image-{F}(V4,V6,V7), P_f22-{F}(V5,V4,V6,V8), member-{F}(V5,V7) | ordered_pair_predicate-{T}(V8)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #89: input, references = 6, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_image-{F}(V4,V6,V7), P_f22-{F}(V5,V4,V6,V8), member-{F}(V5,V7) | member-{T}(V8,V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #90: input, references = 8, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_image-{F}(V4,V6,V7), P_f22-{F}(V5,V4,V6,V8), P_first-{F}(V8,V9), member-{F}(V5,V7) | member-{T}(V9,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #91: input, references = 4, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_image-{F}(V4,V6,V7), P_f22-{F}(V5,V4,V6,V8), P_second-{F}(V8,V9), member-{F}(V5,V7), V9 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #92: input, references = 9, size of lhs = 11:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), little_set-{F}(V4), P_second-{F}(V5,V4), P_first-{F}(V5,V7), ordered_pair_predicate-{F}(V5), member-{F}(V5,V8), P_image-{F}(V9,V8,V10), member-{F}(V7,V9) | member-{T}(V4,V10)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #93: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), function-{F}(V4), P_image-{F}(V5,V4,V6), little_set-{F}(V5) | little_set-{T}(V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #94: input, references = 9, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), member-{F}(V5,V4), disjoint-{F}(V6,V4), member-{F}(V5,V6) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #95: input, references = 3, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f23-{F}(V4,V5,V6) | disjoint-{T}(V4,V5), member-{T}(V6,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #96: input, references = 3, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f23-{F}(V4,V5,V6) | disjoint-{T}(V4,V5), member-{T}(V6,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #97: input, references = 6, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f24-{F}(V4,V5), V4 == V1 | member-{T}(V5,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #98: input, references = 5, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f24-{F}(V4,V5), V4 == V1 | disjoint-{T}(V5,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #99: input, references = 3, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4) | function-{T}(V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #100: input, references = 7, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_f26-{F}(V5,V6), little_set-{F}(V5), V5 == V1 | member-{T}(V6,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #101: input, references = 3, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_f26-{F}(V5,V6), P_ordered_pair-{F}(V5,V6,V7), little_set-{F}(V5), V5 == V1 | member-{T}(V7,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #102: input, references = 3, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_range_of-{F}(V5,V7), P_f27-{F}(V6,V5,V8), member-{F}(V6,V7) | ordered_pair_predicate-{T}(V8)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #103: input, references = 5, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_range_of-{F}(V5,V7), P_f27-{F}(V6,V5,V8), member-{F}(V6,V7) | member-{T}(V8,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #104: input, references = 3, size of lhs = 10:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_range_of-{F}(V5,V7), P_f27-{F}(V6,V5,V8), P_second-{F}(V8,V9), member-{F}(V6,V7), V6 == V9 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #105: input, references = 12, size of lhs = 10:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_second-{F}(V5,V6), ordered_pair_predicate-{F}(V5), little_set-{F}(V6), P_range_of-{F}(V8,V9), member-{F}(V5,V8) | member-{T}(V6,V9)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #106: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5) | ordered_pair_predicate-{T}(V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #107: input, references = 35, size of lhs = 10:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_first-{F}(V6,V7), P_second-{F}(V6,V8), member-{F}(V6,V5), V7 == V8 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #108: input, references = 3, size of lhs = 10:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_first-{F}(V6,V8), P_second-{F}(V6,V8), little_set-{F}(V6), ordered_pair_predicate-{F}(V6) | member-{T}(V6,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #109: input, references = 4, size of lhs = 10:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_restrict-{F}(V6,V7,V8), P_cross_product-{F}(V7,V2,V9), P_intersection-{F}(V6,V9,V10), V8 == V10 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #110: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), one_to_one_function-{F}(V6) | function-{T}(V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #111: input, references = 3, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_converse-{F}(V6,V7), one_to_one_function-{F}(V6) | function-{T}(V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #112: input, references = 3, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_converse-{F}(V6,V7), function-{F}(V6), function-{F}(V7) | one_to_one_function-{T}(V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #113: input, references = 11, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_apply-{F}(V8,V6,V9), P_f28-{F}(V7,V8,V6,V10), member-{F}(V7,V9) | ordered_pair_predicate-{T}(V10)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #114: input, references = 8, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_apply-{F}(V8,V6,V9), P_f28-{F}(V7,V8,V6,V10), member-{F}(V7,V9) | member-{T}(V10,V8)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #115: input, references = 4, size of lhs = 11:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_apply-{F}(V8,V6,V9), P_f28-{F}(V7,V8,V6,V10), P_first-{F}(V10,V11), member-{F}(V7,V9), V11 == V6 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #116: input, references = 6, size of lhs = 10:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_apply-{F}(V8,V6,V9), P_f28-{F}(V7,V8,V6,V10), P_second-{F}(V10,V11), member-{F}(V7,V9) | member-{T}(V7,V11)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #117: input, references = 3, size of lhs = 12:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_second-{F}(V6,V7), P_first-{F}(V6,V11), ordered_pair_predicate-{F}(V6), member-{F}(V6,V9), member-{F}(V10,V7), P_apply-{F}(V9,V11,V12) | member-{T}(V10,V12)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #118: input, references = 5, size of lhs = 10:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_apply_to_two_arguments-{F}(V8,V6,V7,V9), P_ordered_pair-{F}(V6,V7,V10), P_apply-{F}(V8,V10,V11), V9 == V11 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #119: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), maps-{F}(V6,V8,V7) | function-{T}(V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #120: input, references = 3, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_domain_of-{F}(V7,V8), maps-{F}(V7,V6,V9), V8 == V6 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #121: input, references = 3, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_range_of-{F}(V7,V8), maps-{F}(V7,V9,V6) | subset-{T}(V8,V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #122: input, references = 3, size of lhs = 10:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_range_of-{F}(V6,V7), P_domain_of-{F}(V6,V10), function-{F}(V6), subset-{F}(V7,V9) | maps-{T}(V6,V10,V9)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #123: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), closed-{F}(V6,V7) | little_set-{T}(V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #124: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), closed-{F}(V7,V6) | little_set-{T}(V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #125: input, references = 3, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_cross_product-{F}(V7,V7,V8), closed-{F}(V7,V6) | maps-{T}(V6,V8,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #126: input, references = 3, size of lhs = 10:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_cross_product-{F}(V6,V6,V7), little_set-{F}(V6), little_set-{F}(V8), maps-{F}(V8,V7,V6) | closed-{T}(V6,V8)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #127: input, references = 3, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_compose-{F}(V7,V8,V9), P_f29-{F}(V6,V7,V8,V10), member-{F}(V6,V9) | little_set-{T}(V10)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #128: input, references = 3, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_compose-{F}(V7,V8,V9), P_f30-{F}(V6,V7,V8,V10), member-{F}(V6,V9) | little_set-{T}(V10)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #129: input, references = 3, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_compose-{F}(V7,V8,V9), P_f31-{F}(V6,V7,V8,V10), member-{F}(V6,V9) | little_set-{T}(V10)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #130: input, references = 3, size of lhs = 12:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_compose-{F}(V7,V8,V9), P_f29-{F}(V6,V7,V8,V10), P_f30-{F}(V6,V7,V8,V11), P_ordered_pair-{F}(V10,V11,V12), member-{F}(V6,V9), V6 == V12 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #131: input, references = 3, size of lhs = 11:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_compose-{F}(V7,V8,V9), P_f29-{F}(V6,V7,V8,V10), P_f31-{F}(V6,V7,V8,V11), P_ordered_pair-{F}(V10,V11,V12), member-{F}(V6,V9) | member-{T}(V12,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #132: input, references = 3, size of lhs = 11:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_compose-{F}(V7,V8,V9), P_f31-{F}(V6,V7,V8,V10), P_f30-{F}(V6,V7,V8,V11), P_ordered_pair-{F}(V10,V11,V12), member-{F}(V6,V9) | member-{T}(V12,V8)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #133: input, references = 5, size of lhs = 16:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), little_set-{F}(V9), little_set-{F}(V7), P_ordered_pair-{F}(V8,V7,V9), little_set-{F}(V8), P_ordered_pair-{F}(V10,V7,V11), P_ordered_pair-{F}(V8,V10,V12), little_set-{F}(V10), member-{F}(V11,V13), P_compose-{F}(V14,V13,V15), member-{F}(V12,V14) | member-{T}(V9,V15)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #134: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), homomorphism-{F}(V10,V6,V7,V9,V8) | closed-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #135: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), homomorphism-{F}(V10,V9,V8,V6,V7) | closed-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #136: input, references = 3, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), homomorphism-{F}(V6,V7,V10,V8,V9) | maps-{T}(V6,V7,V8)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #137: input, references = 3, size of lhs = 15:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), homomorphism-{F}(V6,V7,V8,V10,V9), P_apply-{F}(V6,V11,V12), member-{F}(V11,V7), P_apply_to_two_arguments-{F}(V8,V13,V11,V14), P_apply-{F}(V6,V14,V15), P_apply-{F}(V6,V13,V16), P_apply_to_two_arguments-{F}(V9,V16,V12,V17), member-{F}(V13,V7), V15 == V17 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #138: input, references = 3, size of lhs = 10:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), closed-{F}(V6,V7), closed-{F}(V9,V8), P_f32-{F}(V10,V9,V8,V6,V7,V11), maps-{F}(V10,V9,V6) | homomorphism-{T}(V10,V9,V8,V6,V7), member-{T}(V11,V9)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #139: input, references = 3, size of lhs = 10:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), closed-{F}(V6,V7), closed-{F}(V9,V8), P_f33-{F}(V10,V9,V8,V6,V7,V11), maps-{F}(V10,V9,V6) | homomorphism-{T}(V10,V9,V8,V6,V7), member-{T}(V11,V9)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #140: input, references = 3, size of lhs = 16:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), closed-{F}(V6,V7), closed-{F}(V9,V8), P_f32-{F}(V10,V9,V8,V6,V7,V11), P_f33-{F}(V10,V9,V8,V6,V7,V12), P_apply_to_two_arguments-{F}(V8,V11,V12,V13), P_apply-{F}(V10,V13,V17), P_apply-{F}(V10,V11,V15), P_apply-{F}(V10,V12,V16), P_apply_to_two_arguments-{F}(V7,V15,V16,V17), maps-{F}(V10,V9,V6) | homomorphism-{T}(V10,V9,V8,V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #141: input, references = 4, size of lhs = 11:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), little_set-{F}(V6), little_set-{F}(V7), P_ordered_pair-{F}(V7,V9,V11), P_ordered_pair-{F}(V6,V8,V11), V7 == V6 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #142: input, references = 4, size of lhs = 11:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), little_set-{F}(V6), little_set-{F}(V7), P_non_ordered_pair-{F}(V8,V7,V10), P_non_ordered_pair-{F}(V8,V6,V10), V7 == V6 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #143: input, references = 4, size of lhs = 13:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), little_set-{F}(V6), little_set-{F}(V7), P_ordered_pair-{F}(V8,V6,V9), little_set-{F}(V8), P_ordered_pair-{F}(V10,V7,V9), little_set-{F}(V10), V7 == V6 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #144: input, references = 3, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), subset-{F}(V6,V7), subset-{F}(V7,V6), V6 == V7 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #145: input, references = 4, size of lhs = 11:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), little_set-{F}(V6), P_ordered_pair-{F}(V7,V6,V8), P_first-{F}(V8,V9), little_set-{F}(V7), V9 == V7 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #146: input, references = 5, size of lhs = 11:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), little_set-{F}(V6), P_ordered_pair-{F}(V7,V6,V8), P_second-{F}(V8,V9), little_set-{F}(V7), V9 == V6 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #147: input, references = 38, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_first-{F}(V6,V7), ordered_pair_predicate-{F}(V6) | little_set-{T}(V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #148: input, references = 12, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_second-{F}(V6,V7), ordered_pair_predicate-{F}(V6) | little_set-{T}(V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #149: input, references = 27, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_singleton_set-{F}(V6,V7), little_set-{F}(V6) | member-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #150: input, references = 18, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_ordered_pair-{F}(V6,V7,V8) | little_set-{T}(V8)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #151: input, references = 4, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_a-{F}(V6) | ordered_pair_predicate-{T}(V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #152: input, references = 6, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_a-{F}(V6), little_set-{F}(V6) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #153: input, references = 6, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f1-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #154: input, references = 4, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_non_ordered_pair-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #155: input, references = 7, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_singleton_set-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #156: input, references = 17, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #157: input, references = 4, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_f2-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #158: input, references = 5, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_f3-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #159: input, references = 27, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_first-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #160: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f4-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #161: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f5-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #162: input, references = 40, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_second-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #163: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f6-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #164: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f7-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #165: input, references = 4, size of lhs = 0:
% 130.09/130.28 FALSE | EXISTS V0: P_estin-{T}(V0)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #166: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #167: input, references = 3, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #168: input, references = 5, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #169: input, references = 3, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_domain_of-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #170: input, references = 6, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f8-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #171: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #172: input, references = 3, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_converse-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #173: input, references = 3, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_rotate_right-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #174: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f9-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #175: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f10-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #176: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f11-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #177: input, references = 3, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_flip_range_of-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #178: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f12-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #179: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f13-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #180: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f14-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #181: input, references = 9, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_successor-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #182: input, references = 4, size of lhs = 0:
% 130.09/130.28 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #183: input, references = 4, size of lhs = 0:
% 130.09/130.28 FALSE | EXISTS V0: P_universal_set-{T}(V0)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #184: input, references = 5, size of lhs = 0:
% 130.09/130.28 FALSE | EXISTS V0: P_infinity-{T}(V0)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #185: input, references = 4, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_sigma-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #186: input, references = 4, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f16-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #187: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f17-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #188: input, references = 3, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #189: input, references = 3, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_f18-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #190: input, references = 3, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_f19-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #191: input, references = 3, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_f20-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #192: input, references = 3, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_f21-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #193: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_image-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #194: input, references = 6, size of lhs = 3:
% 130.09/130.28 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f22-{T}(V0,V1,V2,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #195: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f23-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #196: input, references = 6, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_f24-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #197: input, references = 5, size of lhs = 0:
% 130.09/130.28 FALSE | EXISTS V0: P_f25-{T}(V0)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #198: input, references = 7, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_f26-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #199: input, references = 3, size of lhs = 1:
% 130.09/130.28 #-{F} V0 | EXISTS V1: P_range_of-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #200: input, references = 4, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_f27-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #201: input, references = 5, size of lhs = 0:
% 130.09/130.28 FALSE | EXISTS V0: P_identity_relation-{T}(V0)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #202: input, references = 4, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_restrict-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #203: input, references = 5, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #204: input, references = 11, size of lhs = 3:
% 130.09/130.28 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f28-{T}(V0,V1,V2,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #205: input, references = 4, size of lhs = 3:
% 130.09/130.28 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_apply_to_two_arguments-{T}(V0,V1,V2,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #206: input, references = 3, size of lhs = 2:
% 130.09/130.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #207: input, references = 3, size of lhs = 3:
% 130.09/130.28 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f29-{T}(V0,V1,V2,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #208: input, references = 3, size of lhs = 3:
% 130.09/130.28 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f30-{T}(V0,V1,V2,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #209: input, references = 3, size of lhs = 3:
% 130.09/130.28 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f31-{T}(V0,V1,V2,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #210: input, references = 3, size of lhs = 5:
% 130.09/130.28 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_f32-{T}(V0,V1,V2,V3,V4,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #211: input, references = 3, size of lhs = 5:
% 130.09/130.28 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_f33-{T}(V0,V1,V2,V3,V4,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #212: input, references = 4, size of lhs = 0:
% 130.09/130.28 FALSE | EXISTS V0: P_a-{T}(V0)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 number of initial rules = 213
% 130.09/130.28
% 130.09/130.28 Simplifiers:
% 130.09/130.28 #213: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f1-{F}(V0,V1,V2), P_f1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #214: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_non_ordered_pair-{F}(V0,V1,V2), P_non_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #215: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_singleton_set-{F}(V0,V1), P_singleton_set-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #216: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #217: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f2-{F}(V0,V1), P_f2-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #218: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f3-{F}(V0,V1), P_f3-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #219: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_first-{F}(V0,V1), P_first-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #220: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f4-{F}(V0,V1,V2), P_f4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #221: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f5-{F}(V0,V1,V2), P_f5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #222: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_second-{F}(V0,V1), P_second-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #223: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f6-{F}(V0,V1,V2), P_f6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #224: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f7-{F}(V0,V1,V2), P_f7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #225: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_estin-{F}(V0), P_estin-{F}(V1), V0 == V1 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #226: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #227: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #228: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #229: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_domain_of-{F}(V0,V1), P_domain_of-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #230: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f8-{F}(V0,V1,V2), P_f8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #231: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #232: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_converse-{F}(V0,V1), P_converse-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #233: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_rotate_right-{F}(V0,V1), P_rotate_right-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #234: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f9-{F}(V0,V1,V2), P_f9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #235: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f10-{F}(V0,V1,V2), P_f10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #236: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f11-{F}(V0,V1,V2), P_f11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #237: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_flip_range_of-{F}(V0,V1), P_flip_range_of-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #238: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f12-{F}(V0,V1,V2), P_f12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #239: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f13-{F}(V0,V1,V2), P_f13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #240: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f14-{F}(V0,V1,V2), P_f14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #241: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_successor-{F}(V0,V1), P_successor-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #242: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #243: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_universal_set-{F}(V0), P_universal_set-{F}(V1), V0 == V1 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #244: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_infinity-{F}(V0), P_infinity-{F}(V1), V0 == V1 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #245: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_sigma-{F}(V0,V1), P_sigma-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #246: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f16-{F}(V0,V1,V2), P_f16-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #247: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f17-{F}(V0,V1,V2), P_f17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #248: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #249: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f18-{F}(V0,V1), P_f18-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #250: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f19-{F}(V0,V1), P_f19-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #251: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f20-{F}(V0,V1), P_f20-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #252: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f21-{F}(V0,V1), P_f21-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #253: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_image-{F}(V0,V1,V2), P_image-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #254: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f22-{F}(V0,V1,V2,V3), P_f22-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #255: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f23-{F}(V0,V1,V2), P_f23-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #256: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f24-{F}(V0,V1), P_f24-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #257: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f25-{F}(V0), P_f25-{F}(V1), V0 == V1 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #258: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f26-{F}(V0,V1), P_f26-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #259: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_range_of-{F}(V0,V1), P_range_of-{F}(V0,V3), V1 == V3 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #260: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f27-{F}(V0,V1,V2), P_f27-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #261: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_identity_relation-{F}(V0), P_identity_relation-{F}(V1), V0 == V1 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #262: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_restrict-{F}(V0,V1,V2), P_restrict-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #263: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #264: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f28-{F}(V0,V1,V2,V3), P_f28-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #265: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_apply_to_two_arguments-{F}(V0,V1,V2,V3), P_apply_to_two_arguments-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #266: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #267: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f29-{F}(V0,V1,V2,V3), P_f29-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #268: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f30-{F}(V0,V1,V2,V3), P_f30-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #269: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f31-{F}(V0,V1,V2,V3), P_f31-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #270: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f32-{F}(V0,V1,V2,V3,V4,V5), P_f32-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #271: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_f33-{F}(V0,V1,V2,V3,V4,V5), P_f33-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #272: unsound, references = 3, size of lhs = 3:
% 130.09/130.28 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 number of simplifiers = 60
% 130.09/130.28
% 130.09/130.28 Learnt:
% 130.09/130.28 #282: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V6, V3 == V6; #276 ), references = 1, size of lhs = 3:
% 130.09/130.28 P_universal_set-{F}(V0), P_empty_set-{F}(V0), P_estin-{F}(V1) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #286: exists( #154, #8 ), references = 8, size of lhs = 1:
% 130.09/130.28 P_singleton_set-{F}(V0,V1) | P_non_ordered_pair-{T}(V0,V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #298: exists( #162, #107 ), references = 33, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #321: mergings( V2 == V8, V8 == V14, V14 == V19, V19 == V23, V3 == V9, V9 == V15, V15 == V22, V4 == V10, V10 == V16, V5 == V11, V11 == V17, V6 == V12, V12 == V18, V7 == V13; #306 ), references = 1, size of lhs = 12:
% 130.09/130.28 P_identity_relation-{F}(V0), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), little_set-{F}(V4), member-{F}(V4,V0), ordered_pair_predicate-{F}(V4), member-{F}(V4,V5), P_range_of-{F}(V5,V6), P_cross_product-{F}(V6,V6,V7), P_empty_set-{F}(V7), P_estin-{F}(V8) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #357: mergings( V2 == V8, V8 == V14, V14 == V15, V15 == V21, V3 == V9, V9 == V16, V4 == V10, V10 == V17, V5 == V11, V11 == V18, V6 == V12, V7 == V13; #343 ), references = 1, size of lhs = 13:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_empty_set-{F}(V2), P_universal_set-{F}(V3), P_infinity-{F}(V4), ordered_pair_predicate-{F}(V5), member-{F}(V5,V1), member-{F}(V5,V6), member-{F}(V5,V7), P_estin-{F}(V8), P_cross_product-{F}(V9,V10,V6), P_image-{F}(V9,V7,V11), P_complement-{F}(V9,V11) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #373: mergings( V2 == V8, V8 == V14, V14 == V15, V15 == V21, V3 == V9, V9 == V16, V16 == V22, V4 == V10, V10 == V17, V17 == V23, V5 == V11, V11 == V18, V18 == V24, V6 == V12, V7 == V13; #344 ), references = 1, size of lhs = 13:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), ordered_pair_predicate-{F}(V2), member-{F}(V2,V1), member-{F}(V2,V3), member-{F}(V2,V4), P_estin-{F}(V5), P_empty_set-{F}(V6), P_universal_set-{F}(V7), P_infinity-{F}(V8), P_cross_product-{F}(V9,V10,V3), P_image-{F}(V9,V4,V11), disjoint-{F}(V11,V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #380: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #411: mergings( V2 == V8, V8 == V11, V11 == V12, V12 == V21, V3 == V9, V9 == V13, V13 == V18, V4 == V10, V10 == V14, V5 == V15, V6 == V16, V7 == V17; #397 ), references = 1, size of lhs = 9:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), little_set-{F}(V4), P_empty_set-{F}(V5), P_compose-{F}(V6,V6,V5), P_intersection-{F}(V6,V7,V0), P_estin-{F}(V8) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #419: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #439: mergings( V3 == V4; #437 ), references = 8, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_domain_of-{F}(V1,V2), member-{F}(V3,V2) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #477: mergings( V3 == V8, V4 == V1; #473 ), references = 2, size of lhs = 7:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_estin-{F}(V3), P_empty_set-{F}(V4), P_range_of-{F}(V4,V5), member-{F}(V6,V5) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #480: mergings( V3 == V8, V4 == V9; #474 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_estin-{F}(V3), P_empty_set-{F}(V4), P_domain_of-{F}(V4,V5), P_range_of-{F}(V5,V6), member-{F}(V7,V6) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #512: exists( #205, #118 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_ordered_pair-{F}(V6,V7,V8), P_apply-{F}(V9,V8,V10) | P_apply_to_two_arguments-{T}(V9,V6,V7,V10)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #537: exists( #159, #145 ), references = 9, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), little_set-{F}(V6), little_set-{F}(V7), P_ordered_pair-{F}(V7,V6,V8) | P_first-{T}(V8,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #538: exists( #159, #35 ), references = 6, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_domain_of-{F}(V1,V2), member-{F}(V3,V2), P_f8-{F}(V3,V1,V4) | P_first-{T}(V4,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #591: mergings( V2 == V8, V8 == V14, V14 == V17, V17 == V22, V22 == V23, V23 == V27, V3 == V9, V9 == V15, V15 == V18, V18 == V24, V4 == V10, V10 == V16, V16 == V19, V5 == V11, V11 == V20, V6 == V12, V12 == V21, V7 == V13, V13 == V19; #569 ), references = 1, size of lhs = 9:
% 130.09/130.28 little_set-{F}(V0), P_identity_relation-{F}(V1), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), P_empty_set-{F}(V4), P_converse-{F}(V5,V4), P_intersection-{F}(V5,V6,V1), P_estin-{F}(V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #648: mergings( V2 == V8, V8 == V14, V14 == V17, V17 == V22, V22 == V23, V3 == V9, V9 == V15, V15 == V18, V18 == V24, V4 == V10, V10 == V16, V16 == V19, V5 == V11, V11 == V20, V6 == V12, V12 == V21, V7 == V13, V13 == V19; #627 ), references = 1, size of lhs = 8:
% 130.09/130.28 little_set-{F}(V0), P_identity_relation-{F}(V1), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), P_estin-{F}(V4), P_empty_set-{F}(V5), P_converse-{F}(V5,V1) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #666: mergings( V2 == V8, V8 == V14, V14 == V17, V17 == V22, V22 == V23, V3 == V9, V9 == V15, V15 == V18, V4 == V10, V10 == V16, V16 == V19, V5 == V11, V11 == V20, V6 == V12, V12 == V21, V7 == V13, V13 == V19; #628 ), references = 1, size of lhs = 9:
% 130.09/130.28 little_set-{F}(V0), P_identity_relation-{F}(V1), P_universal_set-{F}(V1), P_empty_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_estin-{F}(V5), P_complement-{F}(V6,V6), P_converse-{F}(V6,V1) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #685: mergings( V2 == V8, V8 == V14, V14 == V17, V17 == V22, V22 == V23, V3 == V9, V9 == V15, V15 == V18, V18 == V24, V4 == V10, V10 == V16, V16 == V19, V5 == V11, V11 == V20, V6 == V12, V12 == V21, V7 == V13, V13 == V19; #629 ), references = 1, size of lhs = 9:
% 130.09/130.28 little_set-{F}(V0), P_identity_relation-{F}(V1), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), P_estin-{F}(V4), P_empty_set-{F}(V5), P_domain_of-{F}(V5,V6), P_converse-{F}(V6,V1) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #771: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V14, V14 == V20, V20 == V21, V19 == V22, V22 == V23, V7 == V10, V10 == V15, V8 == V11, V11 == V16, V12 == V17, V13 == V18; #754 ), references = 1, size of lhs = 12:
% 130.09/130.28 P_identity_relation-{F}(V0), P_universal_set-{F}(V0), P_empty_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), little_set-{F}(V4), P_estin-{F}(V5), member-{F}(V4,V6), P_domain_of-{F}(V7,V6), P_range_of-{F}(V7,V8), P_cross_product-{F}(V8,V8,V9), P_complement-{F}(V7,V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #790: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V14, V14 == V20, V20 == V21, V19 == V25, V25 == V26, V7 == V10, V10 == V15, V15 == V22, V8 == V11, V11 == V16, V16 == V23, V12 == V17, V17 == V24, V13 == V18; #755 ), references = 1, size of lhs = 12:
% 130.09/130.28 P_identity_relation-{F}(V0), P_universal_set-{F}(V0), P_f25-{F}(V1), little_set-{F}(V2), P_estin-{F}(V3), P_empty_set-{F}(V4), P_infinity-{F}(V5), member-{F}(V2,V6), P_domain_of-{F}(V7,V6), P_range_of-{F}(V7,V8), P_cross_product-{F}(V8,V8,V9), disjoint-{F}(V9,V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #851: mergings( V3 == V9, V9 == V15, V15 == V18, V18 == V19, V19 == V29, V4 == V10, V10 == V16, V16 == V20, V20 == V26, V5 == V11, V11 == V17, V17 == V21, V6 == V12, V12 == V22, V7 == V13, V8 == V14; #833 ), references = 1, size of lhs = 15:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), little_set-{F}(V2), little_set-{F}(V3), ordered_pair_predicate-{F}(V3), P_universal_set-{F}(V4), P_infinity-{F}(V5), little_set-{F}(V6), P_second-{F}(V3,V6), P_first-{F}(V3,V7), member-{F}(V7,V8), P_empty_set-{F}(V9), P_image-{F}(V8,V10,V9), P_cross_product-{F}(V10,V11,V4), P_estin-{F}(V12) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #885: mergings( V2 == V8, V8 == V14, V14 == V15, V15 == V21, V21 == V28, V28 == V31, V31 == V32, V32 == V38, V3 == V9, V9 == V16, V16 == V22, V22 == V29, V29 == V33, V33 == V37, V4 == V10, V10 == V17, V17 == V23, V23 == V30, V30 == V34, V5 == V11, V11 == V18, V18 == V24, V24 == V35, V6 == V12, V12 == V19, V19 == V25, V7 == V13, V13 == V20, V20 == V26; #855 ), references = 1, size of lhs = 14:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), little_set-{F}(V2), little_set-{F}(V3), member-{F}(V3,V1), ordered_pair_predicate-{F}(V3), P_universal_set-{F}(V4), P_infinity-{F}(V5), member-{F}(V3,V6), P_empty_set-{F}(V7), P_estin-{F}(V8), P_cross_product-{F}(V9,V10,V6), P_image-{F}(V9,V11,V7), P_cross_product-{F}(V11,V12,V4) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #928: exists( #168, #32 ), references = 1, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V4), P_intersection-{F}(V2,V4,V5), P_complement-{F}(V5,V6) | P_union-{T}(V1,V3,V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #946: mergings( V3 == V7, V4 == V1; #941 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_sigma-{F}(V3,V4), member-{F}(V5,V4) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #948: mergings( V3 == V7; #942 ), references = 1, size of lhs = 7:
% 130.09/130.28 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_estin-{F}(V3), P_complement-{F}(V4,V4), P_sigma-{F}(V4,V5), member-{F}(V6,V5) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #951: mergings( V3 == V7, V4 == V8; #943 ), references = 1, size of lhs = 7:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_domain_of-{F}(V3,V4), P_sigma-{F}(V4,V5), member-{F}(V6,V5) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1002: exists( #203, #118 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_ordered_pair-{F}(V6,V7,V8), P_apply_to_two_arguments-{F}(V9,V6,V7,V10) | P_apply-{T}(V9,V8,V10)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1008: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1057: mergings( V4 == V8, V5 == V2; #1052 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_image-{F}(V4,V3,V5), member-{F}(V6,V5) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1060: mergings( V4 == V8, V5 == V9; #1053 ), references = 1, size of lhs = 7:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_domain_of-{F}(V3,V4), P_image-{F}(V5,V4,V6), member-{F}(V7,V6) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1065: mergings( V4 == V11, V5 == V12, V6 == V8, V7 == V9; #1054 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_estin-{F}(V3), P_empty_set-{F}(V4), P_range_of-{F}(V4,V5), P_image-{F}(V6,V5,V7), member-{F}(V8,V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1101: mergings( V4 == V10, V5 == V1; #1097 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), P_estin-{F}(V4), P_empty_set-{F}(V5), P_apply-{F}(V5,V6,V7), member-{F}(V8,V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1104: mergings( V4 == V10, V5 == V11; #1098 ), references = 1, size of lhs = 9:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), P_estin-{F}(V4), P_empty_set-{F}(V5), P_domain_of-{F}(V5,V6), P_apply-{F}(V6,V7,V8), member-{F}(V9,V8) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1208: mergings( V3 == V9, V9 == V15, V15 == V18, V18 == V23, V23 == V24, V4 == V10, V10 == V16, V16 == V19, V19 == V24, V5 == V11, V11 == V17, V17 == V20, V6 == V12, V12 == V21, V7 == V13, V13 == V22, V8 == V14, V14 == V20; #1187 ), references = 1, size of lhs = 9:
% 130.09/130.28 little_set-{F}(V0), little_set-{F}(V1), member-{F}(V1,V1), P_identity_relation-{F}(V2), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_empty_set-{F}(V5), P_estin-{F}(V5) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1217: exists( #196, #1215 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_non_ordered_pair-{F}(V4,V5,V6), V6 == V1 | P_f24-{T}(V6,V5), P_f24-{T}(V6,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1228: mergings( V0 == V7, V7 == V11, V1 == V8, V8 == V12, V2 == V9, V9 == V13, V3 == V10, V10 == V14; #1219 ), references = 2, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), member-{F}(V4,V5), V5 == V1, member-{F}(V4,V6), P_non_ordered_pair-{F}(V7,V6,V5) | P_f24-{T}(V5,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1290: mergings( V2 == V8, V8 == V12, V12 == V16, V3 == V9, V9 == V13, V13 == V17, V4 == V10, V10 == V14, V14 == V18, V5 == V11, V11 == V15, V15 == V19; #1277 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), little_set-{F}(V2), member-{F}(V2,V2), P_estin-{F}(V3), P_empty_set-{F}(V4), P_universal_set-{F}(V5), P_infinity-{F}(V6) | P_singleton_set-{T}(V2,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1312: mergings( V0 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V25, V1 == V12, V12 == V16, V16 == V20, V20 == V8, V2 == V9, V9 == V13, V13 == V17, V17 == V21, V3 == V10, V10 == V14, V14 == V18, V18 == V22, V4 == V23, V5 == V24; #1292 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), little_set-{F}(V4), member-{F}(V4,V4), P_empty_set-{F}(V5), P_estin-{F}(V6) | P_singleton_set-{T}(V4,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1340: mergings( V1 == V6, V6 == V9, V9 == V12, V12 == V16, V16 == V22, V22 == V23, V23 == V30, V2 == V13, V13 == V17, V17 == V21, V21 == V24, V24 == V29, V3 == V7, V7 == V10, V10 == V14, V14 == V18, V18 == V25, V4 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V26, V5 == V20, V20 == V27; #1315 ), references = 2, size of lhs = 7:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), little_set-{F}(V3), member-{F}(V3,V3), P_empty_set-{F}(V4), P_estin-{F}(V5) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1364: mergings( V1 == V5, V5 == V8, V8 == V11, V11 == V15, V15 == V20, V20 == V21, V21 == V27, V2 == V12, V12 == V16, V16 == V19, V19 == V22, V22 == V26, V3 == V6, V6 == V9, V9 == V13, V13 == V17, V17 == V23, V4 == V7, V7 == V10, V10 == V14, V14 == V18, V18 == V24; #1341 ), references = 2, size of lhs = 6:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), little_set-{F}(V2), member-{F}(V2,V2), P_empty_set-{F}(V3), P_estin-{F}(V4) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1402: mergings( V2 == V8, V8 == V11, V3 == V10; #1398 ), references = 2, size of lhs = 9:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), ordered_pair_predicate-{F}(V4), member-{F}(V4,V5), P_domain_of-{F}(V5,V6), P_empty_set-{F}(V6), P_estin-{F}(V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1417: mergings( V2 == V6, V6 == V15, V3 == V7, V7 == V14, V4 == V8, V8 == V10, V5 == V9, V9 == V11; #1408 ), references = 1, size of lhs = 9:
% 130.09/130.28 relation-{F}(V0), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), P_identity_relation-{F}(V4), P_domain_of-{F}(V0,V5), V0 == V5, P_empty_set-{F}(V5), P_estin-{F}(V6) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1448: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1481: mergings( V3 == V4; #1477 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_converse-{F}(V1,V2), member-{F}(V3,V2), P_second-{F}(V3,V4), P_first-{F}(V3,V5) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1484: mergings( V3 == V4, V4 == V5; #1478 ), references = 1, size of lhs = 10:
% 130.09/130.28 P_estin-{F}(V0), P_second-{F}(V1,V2), P_first-{F}(V1,V3), member-{F}(V1,V4), P_second-{F}(V5,V2), P_first-{F}(V5,V3), member-{F}(V5,V6), P_converse-{F}(V7,V6), P_complement-{F}(V7,V8), P_converse-{F}(V8,V4) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1486: mergings( V3 == V4; #1479 ), references = 1, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_domain_of-{F}(V1,V2), P_converse-{F}(V2,V3), member-{F}(V4,V3), P_second-{F}(V4,V5), P_first-{F}(V4,V6) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1642: exists( #159, #115 ), references = 12, size of lhs = 9:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V7), P_apply-{F}(V8,V9,V7), P_f28-{F}(V6,V8,V9,V10) | P_first-{T}(V10,V9)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1689: mergings( V4 == V10, V10 == V16, V16 == V21, V21 == V27, V5 == V11, V11 == V17, V17 == V22, V22 == V2, V6 == V12, V12 == V18, V18 == V23, V7 == V13, V13 == V19, V19 == V24, V8 == V14, V14 == V20, V20 == V25, V9 == V15, V15 == V1, V1 == V26, V28 == V29, V29 == V30; #1664 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), P_estin-{F}(V4), P_empty_set-{F}(V5), P_apply-{F}(V3,V5,V6), member-{F}(V7,V6) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1714: mergings( V3 == V9, V9 == V15, V15 == V20, V20 == V30, V4 == V10, V10 == V16, V16 == V21, V21 == V29, V5 == V11, V11 == V17, V17 == V22, V22 == V26, V6 == V12, V12 == V18, V18 == V23, V23 == V27, V7 == V13, V13 == V19, V19 == V24, V8 == V14, V14 == V1, V1 == V25, V28 == V31, V31 == V32; #1665 ), references = 4, size of lhs = 9:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), little_set-{F}(V4), P_empty_set-{F}(V5), P_estin-{F}(V6), member-{F}(V4,V7), P_apply-{F}(V1,V4,V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1740: mergings( V3 == V9, V9 == V15, V15 == V20, V20 == V31, V4 == V10, V10 == V16, V16 == V21, V21 == V30, V5 == V11, V11 == V17, V17 == V22, V22 == V26, V6 == V12, V12 == V18, V18 == V23, V23 == V27, V7 == V13, V13 == V19, V19 == V24, V24 == V28, V8 == V14, V14 == V1, V1 == V25, V29 == V32, V32 == V33; #1666 ), references = 4, size of lhs = 9:
% 130.09/130.28 P_identity_relation-{F}(V0), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), little_set-{F}(V4), P_empty_set-{F}(V5), P_estin-{F}(V6), member-{F}(V4,V7), P_apply-{F}(V0,V4,V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1767: mergings( V3 == V9, V9 == V15, V15 == V21, V21 == V32, V4 == V10, V10 == V16, V16 == V22, V22 == V31, V5 == V11, V11 == V17, V17 == V23, V23 == V27, V6 == V12, V12 == V18, V18 == V24, V24 == V28, V7 == V13, V13 == V19, V19 == V25, V8 == V14, V14 == V20, V20 == V26, V30 == V33, V33 == V34; #1741 ), references = 4, size of lhs = 9:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), little_set-{F}(V4), P_empty_set-{F}(V5), P_estin-{F}(V6), member-{F}(V4,V7), P_apply-{F}(V1,V4,V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1793: mergings( V3 == V9, V9 == V15, V15 == V21, V21 == V33, V4 == V10, V10 == V16, V16 == V22, V22 == V32, V5 == V11, V11 == V17, V17 == V23, V23 == V27, V6 == V12, V12 == V18, V18 == V24, V24 == V28, V7 == V13, V13 == V19, V19 == V25, V25 == V29, V8 == V14, V14 == V20, V20 == V26, V31 == V34, V34 == V35; #1742 ), references = 1, size of lhs = 9:
% 130.09/130.28 P_identity_relation-{F}(V0), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), little_set-{F}(V4), P_empty_set-{F}(V5), P_estin-{F}(V6), member-{F}(V4,V7), P_apply-{F}(V0,V4,V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1805: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1811: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #1920: exists( #202, #109 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_cross_product-{F}(V6,V2,V7), P_intersection-{F}(V8,V7,V9) | P_restrict-{T}(V8,V6,V9)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2025: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V11 == V17, V17 == V23, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V13 == V19, V19 == V25, V8 == V14, V14 == V20, V20 == V26, V9 == V15, V15 == V21, V21 == V27, V29 == V30; #2003 ), references = 1, size of lhs = 12:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), little_set-{F}(V6), member-{F}(V7,V8), P_apply-{F}(V9,V10,V8), V10 == V6, P_ordered_pair-{F}(V10,V11,V12), P_ordered_pair-{F}(V6,V13,V12) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2138: mergings( V2 == V8, V8 == V11, V3 == V9, V9 == V12, V4 == V10, V10 == V13, V5 == V14; #2128 ), references = 3, size of lhs = 11:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), little_set-{F}(V2), P_estin-{F}(V3), P_empty_set-{F}(V4), P_universal_set-{F}(V5), P_infinity-{F}(V6), P_sigma-{F}(V5,V7), member-{F}(V2,V8), V7 == V8, P_f1-{F}(V7,V8,V2) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2151: mergings( V3 == V7, V4 == V8, V1 == V9; #2147 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_universal_set-{F}(V4), P_infinity-{F}(V5), P_sigma-{F}(V4,V6), V6 == V4 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2156: mergings( V2 == V7, V3 == V8, V4 == V0; #2152 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_universal_set-{F}(V4), P_infinity-{F}(V5) | P_sigma-{T}(V4,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2172: mergings( V2 == V6, V6 == V9, V3 == V7, V4 == V8; #2167 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_infinity-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_estin-{F}(V3), P_complement-{F}(V4,V2), V4 == V1 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2184: exists( #155, #2182 ), references = 21, size of lhs = 3:
% 130.09/130.28 P_singleton_set-{F}(V0,V1), P_non_ordered_pair-{F}(V0,V2,V1), P_ordered_pair-{F}(V0,V2,V3) | P_singleton_set-{T}(V1,V3)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2195: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2206: exists( #181, #2204 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), member-{F}(V4,V3), P_non_ordered_pair-{F}(V5,V6,V3) | P_successor-{T}(V4,V6), P_successor-{T}(V4,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2208: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2257: mergings( V3 == V4, V4 == V11, V11 == V15, V5 == V12, V12 == V16, V6 == V13, V7 == V14; #2247 ), references = 3, size of lhs = 14:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), little_set-{F}(V2), P_universal_set-{F}(V3), P_infinity-{F}(V4), P_estin-{F}(V5), P_empty_set-{F}(V6), P_sigma-{F}(V7,V6), P_converse-{F}(V7,V8), member-{F}(V9,V8), P_second-{F}(V9,V10), P_singleton_set-{F}(V10,V2), P_first-{F}(V9,V11), P_non_ordered_pair-{F}(V10,V11,V2) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2263: mergings( V3 == V4, V4 == V11, V5 == V12, V6 == V13, V7 == V14; #2248 ), references = 3, size of lhs = 17:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), little_set-{F}(V2), P_estin-{F}(V3), P_empty_set-{F}(V4), P_universal_set-{F}(V5), P_infinity-{F}(V6), P_singleton_set-{F}(V7,V2), P_second-{F}(V8,V7), member-{F}(V8,V9), P_converse-{F}(V10,V9), P_first-{F}(V8,V11), P_non_ordered_pair-{F}(V7,V11,V2), P_sigma-{F}(V10,V12), P_non_ordered_pair-{F}(V13,V14,V12), V2 == V14, V2 == V13 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2275: mergings( V2 == V8, V8 == V9, V9 == V15, V3 == V10, V10 == V16, V4 == V11, V11 == V17, V5 == V12, V12 == V18, V6 == V13, V7 == V14; #2249 ), references = 2, size of lhs = 13:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), little_set-{F}(V2), P_estin-{F}(V3), P_empty_set-{F}(V4), P_universal_set-{F}(V5), P_infinity-{F}(V6), P_second-{F}(V7,V2), P_first-{F}(V7,V2), member-{F}(V7,V8), P_converse-{F}(V9,V8), P_compose-{F}(V9,V9,V10), disjoint-{F}(V10,V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2294: mergings( V2 == V8, V8 == V16, V3 == V9, V9 == V17, V4 == V10, V10 == V18, V5 == V11, V11 == V19, V6 == V12, V12 == V14, V7 == V13, V13 == V15; #2281 ), references = 1, size of lhs = 12:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), member-{F}(V0,V1), P_identity_relation-{F}(V1), P_f25-{F}(V2), P_estin-{F}(V3), P_empty_set-{F}(V4), P_universal_set-{F}(V5), P_infinity-{F}(V6), member-{F}(V0,V7), P_converse-{F}(V8,V7), P_compose-{F}(V8,V8,V9), disjoint-{F}(V9,V8) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2296: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2311: mergings( V2 == V8, V8 == V11; #2308 ), references = 1, size of lhs = 11:
% 130.09/130.28 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), P_identity_relation-{F}(V4), ordered_pair_predicate-{F}(V5), member-{F}(V5,V6), P_domain_of-{F}(V6,V7), P_estin-{F}(V8), P_intersection-{F}(V7,V7,V9), P_non_ordered_pair-{F}(V10,V11,V9) | P_first-{T}(V5,V11), P_first-{T}(V5,V10)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2330: mergings( V0 == V6, V6 == V10, V10 == V14, V14 == V25, V1 == V15, V15 == V26, V2 == V16, V16 == V23, V3 == V17, V17 == V24, V4 == V18, V18 == V20, V5 == V19, V19 == V21; #2314 ), references = 1, size of lhs = 18:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), P_intersection-{F}(V2,V2,V3), member-{F}(V0,V4), P_identity_relation-{F}(V4), P_f25-{F}(V5), little_set-{F}(V6), P_singleton_set-{F}(V7,V6), P_non_ordered_pair-{F}(V7,V7,V6), P_non_ordered_pair-{F}(V8,V7,V3), P_universal_set-{F}(V9), P_infinity-{F}(V10), P_estin-{F}(V11), P_empty_set-{F}(V12), P_sigma-{F}(V13,V12), P_converse-{F}(V13,V14), member-{F}(V0,V14) | P_first-{T}(V0,V8)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2345: mergings( V0 == V6, V6 == V10, V10 == V14, V14 == V23, V1 == V15, V15 == V24, V2 == V16, V16 == V25, V3 == V17, V17 == V26, V4 == V18, V18 == V20, V5 == V19, V19 == V21; #2315 ), references = 1, size of lhs = 21:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), P_intersection-{F}(V2,V2,V3), member-{F}(V0,V4), P_identity_relation-{F}(V4), P_f25-{F}(V5), little_set-{F}(V6), P_singleton_set-{F}(V7,V6), P_non_ordered_pair-{F}(V7,V7,V6), P_non_ordered_pair-{F}(V8,V7,V3), P_estin-{F}(V9), P_empty_set-{F}(V10), P_universal_set-{F}(V11), P_infinity-{F}(V12), member-{F}(V0,V13), P_converse-{F}(V14,V13), P_sigma-{F}(V14,V15), P_non_ordered_pair-{F}(V16,V17,V15), V6 == V17, V6 == V16 | P_first-{T}(V0,V8)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2360: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2367: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2393: mergings( V2 == V8, V8 == V14, V14 == V17, V3 == V9, V9 == V18, V4 == V10, V10 == V19, V5 == V11, V11 == V20, V6 == V12, V7 == V13; #2381 ), references = 1, size of lhs = 13:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_universal_set-{F}(V4), P_infinity-{F}(V5), ordered_pair_predicate-{F}(V6), member-{F}(V6,V1), member-{F}(V6,V7), P_domain_of-{F}(V7,V8), member-{F}(V6,V9), P_image-{F}(V8,V9,V10), P_non_ordered_pair-{F}(V11,V12,V10) | P_first-{T}(V6,V12), P_first-{T}(V6,V11)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2421: mergings( V0 == V6, V6 == V12, V12 == V13, V13 == V24, V24 == V35, V1 == V7, V7 == V14, V14 == V25, V25 == V36, V2 == V8, V8 == V15, V15 == V26, V26 == V33, V3 == V9, V9 == V16, V16 == V27, V27 == V34, V4 == V10, V10 == V28, V28 == V30, V5 == V11, V11 == V29, V29 == V31; #2396 ), references = 1, size of lhs = 19:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), member-{F}(V0,V3), P_image-{F}(V2,V3,V4), member-{F}(V0,V5), P_identity_relation-{F}(V5), P_f25-{F}(V6), little_set-{F}(V7), P_singleton_set-{F}(V8,V7), P_non_ordered_pair-{F}(V8,V8,V7), P_non_ordered_pair-{F}(V9,V8,V4), P_universal_set-{F}(V10), P_infinity-{F}(V11), P_estin-{F}(V12), P_empty_set-{F}(V13), P_sigma-{F}(V14,V13), P_converse-{F}(V14,V15), member-{F}(V0,V15) | P_first-{T}(V0,V9)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2445: mergings( V0 == V6, V6 == V12, V12 == V13, V13 == V24, V24 == V33, V1 == V7, V7 == V14, V14 == V25, V25 == V34, V2 == V8, V8 == V15, V15 == V26, V26 == V35, V3 == V9, V9 == V16, V16 == V27, V27 == V36, V4 == V10, V10 == V28, V28 == V30, V5 == V11, V11 == V29, V29 == V31; #2397 ), references = 1, size of lhs = 22:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), member-{F}(V0,V3), P_image-{F}(V2,V3,V4), member-{F}(V0,V5), P_identity_relation-{F}(V5), P_f25-{F}(V6), little_set-{F}(V7), P_singleton_set-{F}(V8,V7), P_non_ordered_pair-{F}(V8,V8,V7), P_non_ordered_pair-{F}(V9,V8,V4), P_estin-{F}(V10), P_empty_set-{F}(V11), P_universal_set-{F}(V12), P_infinity-{F}(V13), member-{F}(V0,V14), P_converse-{F}(V15,V14), P_sigma-{F}(V15,V16), P_non_ordered_pair-{F}(V17,V18,V16), V7 == V18, V7 == V17 | P_first-{T}(V0,V9)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2458: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2467: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2496: exists( #168, #56 ), references = 1, size of lhs = 3:
% 130.09/130.28 P_estin-{F}(V0), P_successor-{F}(V1,V2), P_singleton_set-{F}(V1,V3) | P_union-{T}(V1,V3,V2)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2511: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2520: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2542: mergings( V2 == V8, V8 == V11; #2539 ), references = 1, size of lhs = 11:
% 130.09/130.28 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), P_identity_relation-{F}(V4), ordered_pair_predicate-{F}(V5), member-{F}(V5,V6), P_domain_of-{F}(V6,V7), P_estin-{F}(V8), P_intersection-{F}(V7,V7,V9), P_non_ordered_pair-{F}(V10,V11,V9) | P_first-{T}(V5,V11), P_first-{T}(V5,V10)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2563: mergings( V3 == V4; #2561 ), references = 1, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_converse-{F}(V1,V2), member-{F}(V3,V2), P_second-{F}(V3,V4), P_first-{F}(V3,V5), P_intersection-{F}(V1,V1,V6), P_non_ordered_pair-{F}(V7,V8,V6) | P_ordered_pair-{T}(V4,V5,V8), P_ordered_pair-{T}(V4,V5,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2574: mergings( V0 == V1, V1 == V10, V10 == V17, V11 == V9; #2568 ), references = 1, size of lhs = 15:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), little_set-{F}(V4), P_empty_set-{F}(V5), P_estin-{F}(V6), P_singleton_set-{F}(V7,V4), P_second-{F}(V8,V7), member-{F}(V8,V9), P_converse-{F}(V10,V9), P_first-{F}(V8,V11), P_non_ordered_pair-{F}(V7,V11,V4), P_intersection-{F}(V10,V10,V12), P_non_ordered_pair-{F}(V13,V5,V12) | P_ordered_pair-{T}(V7,V11,V13)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2577: mergings( V0 == V1, V1 == V10; #2569 ), references = 1, size of lhs = 18:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), little_set-{F}(V6), P_singleton_set-{F}(V7,V6), P_second-{F}(V8,V7), member-{F}(V8,V9), P_converse-{F}(V10,V9), P_first-{F}(V8,V11), P_non_ordered_pair-{F}(V7,V11,V6), P_intersection-{F}(V10,V10,V12), P_non_ordered_pair-{F}(V13,V14,V12), P_non_ordered_pair-{F}(V15,V16,V14), V6 == V16, V6 == V15 | P_ordered_pair-{T}(V7,V11,V13)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2615: mergings( V28 == V37, V0 == V6, V6 == V10, V10 == V14, V14 == V20, V20 == V21, V21 == V22, V22 == V30, V30 == V31, V31 == V42, V1 == V15, V15 == V23, V23 == V29, V29 == V32, V32 == V38, V2 == V16, V16 == V24, V24 == V33, V3 == V17, V17 == V25, V25 == V34, V4 == V18, V18 == V26, V26 == V35, V5 == V19, V19 == V27, V27 == V36; #2586 ), references = 1, size of lhs = 19:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), P_intersection-{F}(V2,V2,V3), member-{F}(V0,V4), P_identity_relation-{F}(V4), P_universal_set-{F}(V5), P_infinity-{F}(V6), P_f25-{F}(V7), little_set-{F}(V8), P_singleton_set-{F}(V9,V8), P_non_ordered_pair-{F}(V9,V9,V8), P_non_ordered_pair-{F}(V10,V9,V3), P_empty_set-{F}(V11), P_non_ordered_pair-{F}(V11,V11,V12), P_intersection-{F}(V13,V13,V12), P_converse-{F}(V13,V14), member-{F}(V0,V14), P_estin-{F}(V15) | P_first-{T}(V0,V10)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2641: mergings( V28 == V37, V0 == V6, V6 == V10, V10 == V14, V14 == V20, V20 == V21, V21 == V22, V22 == V30, V30 == V31, V1 == V15, V15 == V23, V23 == V29, V29 == V32, V2 == V16, V16 == V24, V24 == V33, V3 == V17, V17 == V25, V25 == V34, V4 == V18, V18 == V26, V26 == V35, V5 == V19, V19 == V27, V27 == V36; #2587 ), references = 1, size of lhs = 22:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), P_intersection-{F}(V2,V2,V3), member-{F}(V0,V4), P_identity_relation-{F}(V4), P_estin-{F}(V5), P_empty_set-{F}(V6), P_universal_set-{F}(V7), P_infinity-{F}(V8), P_f25-{F}(V9), little_set-{F}(V10), P_singleton_set-{F}(V11,V10), P_non_ordered_pair-{F}(V11,V11,V10), P_non_ordered_pair-{F}(V12,V11,V3), member-{F}(V0,V13), P_converse-{F}(V14,V13), P_intersection-{F}(V14,V14,V15), P_non_ordered_pair-{F}(V16,V6,V15), P_non_ordered_pair-{F}(V17,V18,V16), V10 == V18, V10 == V17 | P_first-{T}(V0,V12)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2656: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2677: exists( #156, #9 ), references = 1, size of lhs = 3:
% 130.09/130.28 P_singleton_set-{F}(V0,V1), P_non_ordered_pair-{F}(V0,V2,V3), P_non_ordered_pair-{F}(V1,V3,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2755: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V11 == V17, V17 == V23, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V13 == V19, V19 == V25, V8 == V14, V14 == V20, V20 == V26, V9 == V15, V15 == V21, V21 == V27, V29 == V30; #2733 ), references = 1, size of lhs = 12:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), little_set-{F}(V6), member-{F}(V7,V8), P_apply-{F}(V9,V10,V8), V6 == V10, P_non_ordered_pair-{F}(V11,V6,V12), P_non_ordered_pair-{F}(V11,V10,V12) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2853: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V11 == V17, V17 == V23, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V13 == V19, V19 == V25, V8 == V14, V14 == V20, V20 == V26, V9 == V15, V15 == V21, V21 == V27, V29 == V30; #2831 ), references = 1, size of lhs = 12:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), little_set-{F}(V6), member-{F}(V7,V8), P_apply-{F}(V9,V10,V8), V6 == V10, P_ordered_pair-{F}(V10,V10,V11), P_ordered_pair-{F}(V10,V6,V11) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2871: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V11 == V17, V17 == V23, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V13 == V19, V19 == V25, V8 == V14, V14 == V20, V9 == V15, V15 == V21, V30 == V31; #2832 ), references = 1, size of lhs = 15:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_universal_set-{F}(V4), P_infinity-{F}(V5), little_set-{F}(V6), single_valued_set-{F}(V7), member-{F}(V8,V7), P_ordered_pair-{F}(V9,V9,V8), V9 == V6, P_ordered_pair-{F}(V9,V6,V10), member-{F}(V10,V7), member-{F}(V11,V12), P_apply-{F}(V13,V9,V12) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #2954: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V11 == V17, V17 == V23, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V13 == V19, V19 == V25, V8 == V14, V14 == V20, V20 == V26, V9 == V15, V15 == V21, V21 == V27, V28 == V29; #2934 ), references = 1, size of lhs = 11:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V7), P_apply-{F}(V8,V9,V7), P_ordered_pair-{F}(V9,V9,V10), P_second-{F}(V10,V11), V11 == V9 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3018: mergings( V4 == V10, V10 == V16, V16 == V22, V22 == V27, V5 == V11, V11 == V17, V17 == V23, V23 == V28, V6 == V12, V12 == V18, V18 == V24, V24 == V29, V7 == V13, V13 == V19, V19 == V25, V25 == V30, V8 == V14, V14 == V20, V20 == V31, V9 == V15, V15 == V21, V21 == V32, V33 == V34; #2992 ), references = 1, size of lhs = 10:
% 130.09/130.28 P_a-{F}(V0), P_powerset-{F}(V1,V0), P_estin-{F}(V2), P_empty_set-{F}(V3), P_universal_set-{F}(V4), P_infinity-{F}(V5), P_f25-{F}(V6), P_identity_relation-{F}(V7), member-{F}(V8,V9), P_apply-{F}(V10,V1,V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3034: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V11 == V17, V17 == V23, V6 == V12, V12 == V18, V7 == V13, V13 == V19, V8 == V14, V14 == V20, V9 == V15, V15 == V21, V24 == V25; #2993 ), references = 5, size of lhs = 9:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), P_estin-{F}(V4), P_empty_set-{F}(V5), member-{F}(V6,V7), P_apply-{F}(V8,V9,V7), P_non_ordered_pair-{F}(V9,V10,V5) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3123: mergings( V3 == V9, V9 == V12, V12 == V16, V16 == V22, V22 == V33, V4 == V10, V10 == V13, V13 == V17, V17 == V23, V23 == V32, V5 == V11, V11 == V14, V14 == V18, V18 == V24, V24 == V28, V6 == V15, V15 == V19, V19 == V25, V25 == V29, V7 == V20, V20 == V26, V8 == V21, V21 == V27; #3097 ), references = 1, size of lhs = 11:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), little_set-{F}(V4), P_singleton_set-{F}(V5,V4), P_non_ordered_pair-{F}(V5,V6,V4), P_apply-{F}(V1,V4,V7), P_powerset-{F}(V7,V2), P_empty_set-{F}(V8), P_estin-{F}(V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3147: mergings( V3 == V9, V9 == V12, V12 == V16, V16 == V22, V22 == V33, V4 == V10, V10 == V13, V13 == V17, V17 == V23, V23 == V32, V5 == V11, V11 == V14, V14 == V18, V18 == V24, V24 == V27, V6 == V15, V15 == V19, V19 == V25, V25 == V28, V7 == V20, V20 == V29, V8 == V21, V21 == V26; #3098 ), references = 1, size of lhs = 11:
% 130.09/130.28 P_identity_relation-{F}(V0), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), little_set-{F}(V4), P_singleton_set-{F}(V5,V4), P_non_ordered_pair-{F}(V5,V6,V4), P_apply-{F}(V0,V4,V7), P_powerset-{F}(V7,V1), P_empty_set-{F}(V8), P_estin-{F}(V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3171: mergings( V3 == V9, V9 == V12, V12 == V16, V16 == V22, V22 == V33, V4 == V10, V10 == V13, V13 == V17, V17 == V23, V23 == V32, V5 == V11, V11 == V14, V14 == V18, V18 == V24, V24 == V28, V6 == V15, V15 == V19, V19 == V25, V25 == V29, V7 == V20, V20 == V26, V8 == V21, V21 == V27; #3099 ), references = 1, size of lhs = 11:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), little_set-{F}(V4), P_singleton_set-{F}(V5,V4), P_non_ordered_pair-{F}(V5,V6,V4), P_apply-{F}(V1,V4,V7), P_powerset-{F}(V7,V2), P_empty_set-{F}(V8), P_estin-{F}(V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3179: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3182: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3388: mergings( V2 == V8, V8 == V11, V11 == V15, V3 == V9, V9 == V12, V12 == V16, V4 == V10, V10 == V13, V13 == V17, V5 == V14, V14 == V18; #3375 ), references = 1, size of lhs = 11:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), little_set-{F}(V2), P_estin-{F}(V3), P_empty_set-{F}(V4), P_universal_set-{F}(V5), P_infinity-{F}(V6), P_powerset-{F}(V7,V5), member-{F}(V2,V8), V8 == V7, P_f1-{F}(V8,V7,V2) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3406: mergings( V2 == V8, V8 == V11, V11 == V15, V15 == V22, V3 == V9, V9 == V12, V12 == V16, V16 == V23, V4 == V10, V10 == V13, V13 == V17, V17 == V24, V5 == V14, V14 == V18, V18 == V25, V6 == V19, V7 == V20; #3376 ), references = 2, size of lhs = 11:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), little_set-{F}(V2), P_estin-{F}(V3), P_empty_set-{F}(V4), P_universal_set-{F}(V5), P_powerset-{F}(V6,V5), P_infinity-{F}(V7), P_sigma-{F}(V5,V8), V8 == V6, P_f1-{F}(V8,V6,V2) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3410: exists( #153, #3408 ), references = 1, size of lhs = 9:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_universal_set-{F}(V4), P_powerset-{F}(V5,V4), P_infinity-{F}(V6), P_sigma-{F}(V4,V7), V7 == V5 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3425: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3463: mergings( V2 == V8, V8 == V14, V14 == V21, V3 == V9, V9 == V15, V15 == V20, V4 == V10, V10 == V16, V5 == V11, V11 == V17, V6 == V12, V12 == V18, V7 == V13; #3447 ), references = 1, size of lhs = 10:
% 130.09/130.28 P_identity_relation-{F}(V0), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), ordered_pair_predicate-{F}(V4), member-{F}(V4,V0), member-{F}(V4,V5), P_range_of-{F}(V5,V6), P_empty_set-{F}(V6), P_estin-{F}(V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3480: mergings( V2 == V8, V8 == V14, V14 == V17, V17 == V24, V3 == V9, V9 == V18, V18 == V25, V4 == V10, V10 == V19, V19 == V26, V5 == V11, V11 == V20, V20 == V27, V6 == V12, V12 == V21, V7 == V13; #3449 ), references = 1, size of lhs = 13:
% 130.09/130.28 P_identity_relation-{F}(V0), P_f25-{F}(V1), ordered_pair_predicate-{F}(V2), member-{F}(V2,V0), member-{F}(V2,V3), P_domain_of-{F}(V3,V4), member-{F}(V2,V5), P_range_of-{F}(V5,V6), disjoint-{F}(V6,V4), P_estin-{F}(V7), P_empty_set-{F}(V8), P_universal_set-{F}(V9), P_infinity-{F}(V10) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3497: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3526: mergings( V2 == V8, V8 == V14, V14 == V17, V3 == V9, V9 == V18, V4 == V10, V10 == V19, V5 == V11, V11 == V20, V6 == V12, V7 == V13; #3514 ), references = 1, size of lhs = 13:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_universal_set-{F}(V4), P_infinity-{F}(V5), ordered_pair_predicate-{F}(V6), member-{F}(V6,V1), member-{F}(V6,V7), P_domain_of-{F}(V7,V8), member-{F}(V6,V9), P_image-{F}(V8,V9,V10), P_non_ordered_pair-{F}(V11,V12,V10) | P_first-{T}(V6,V12), P_first-{T}(V6,V11)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3532: exists( #181, #3530 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), member-{F}(V4,V3), P_non_ordered_pair-{F}(V5,V6,V3) | P_successor-{T}(V4,V6), P_successor-{T}(V4,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3538: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3694: exists( #198, #3692 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), little_set-{F}(V5), V5 == V1, P_non_ordered_pair-{F}(V6,V7,V5) | P_f26-{T}(V5,V7), P_f26-{T}(V5,V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3700: exists( #181, #3698 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), member-{F}(V4,V3), P_non_ordered_pair-{F}(V5,V6,V3) | P_successor-{T}(V4,V6), P_successor-{T}(V4,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3706: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3808: mergings( V3 == V5; #3806 ), references = 1, size of lhs = 5:
% 130.09/130.28 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_estin-{F}(V2), P_intersection-{F}(V3,V4,V1), V3 == V1 | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3813: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3815: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3872: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V12, V11 == V13, V13 == V14; #3865 ), references = 1, size of lhs = 12:
% 130.09/130.28 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), P_identity_relation-{F}(V4), P_estin-{F}(V5), P_domain_of-{F}(V4,V6), member-{F}(V7,V6), member-{F}(V7,V8), member-{F}(V7,V9), P_cross_product-{F}(V9,V8,V10), P_non_ordered_pair-{F}(V11,V12,V10) | P_f8-{T}(V7,V4,V12), P_f8-{T}(V7,V4,V11)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3932: mergings( V3 == V9, V9 == V15, V15 == V16, V16 == V24, V4 == V10, V10 == V17, V5 == V11, V11 == V18, V6 == V12, V12 == V19, V7 == V13, V13 == V20, V8 == V14, V14 == V21; #3917 ), references = 1, size of lhs = 16:
% 130.09/130.28 little_set-{F}(V0), little_set-{F}(V1), P_empty_set-{F}(V2), P_universal_set-{F}(V3), P_infinity-{F}(V4), P_f25-{F}(V5), P_identity_relation-{F}(V6), P_converse-{F}(V6,V7), member-{F}(V8,V7), P_second-{F}(V8,V1), P_first-{F}(V8,V0), P_estin-{F}(V9), member-{F}(V1,V10), member-{F}(V1,V11), P_cross_product-{F}(V11,V10,V12), P_non_ordered_pair-{F}(V13,V14,V12) | P_ordered_pair-{T}(V1,V0,V14), P_ordered_pair-{T}(V1,V0,V13)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3961: mergings( V0 == V6, V6 == V14, V14 == V15, V15 == V23, V23 == V29, V29 == V36, V1 == V7, V7 == V16, V16 == V30, V30 == V28, V2 == V8, V8 == V17, V17 == V31, V3 == V9, V9 == V18, V18 == V32, V4 == V10, V10 == V19, V19 == V33, V5 == V11, V11 == V20, V20 == V34; #3937 ), references = 1, size of lhs = 19:
% 130.09/130.28 little_set-{F}(V0), little_set-{F}(V1), P_second-{F}(V2,V1), P_first-{F}(V2,V0), member-{F}(V2,V3), member-{F}(V1,V4), member-{F}(V1,V5), P_cross_product-{F}(V5,V4,V6), P_universal_set-{F}(V7), P_infinity-{F}(V8), P_f25-{F}(V9), P_identity_relation-{F}(V10), P_converse-{F}(V10,V3), little_set-{F}(V11), P_singleton_set-{F}(V1,V11), P_non_ordered_pair-{F}(V1,V0,V11), P_empty_set-{F}(V12), P_non_ordered_pair-{F}(V13,V12,V6), P_estin-{F}(V14) | P_ordered_pair-{T}(V1,V0,V13)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #3982: mergings( V0 == V6, V6 == V14, V14 == V15, V15 == V23, V23 == V29, V1 == V7, V7 == V16, V16 == V30, V2 == V8, V8 == V17, V17 == V31, V3 == V9, V9 == V18, V18 == V32, V4 == V10, V10 == V19, V19 == V33, V5 == V11, V11 == V20, V20 == V34; #3938 ), references = 1, size of lhs = 22:
% 130.09/130.28 little_set-{F}(V0), little_set-{F}(V1), P_second-{F}(V2,V1), P_first-{F}(V2,V0), member-{F}(V2,V3), member-{F}(V1,V4), member-{F}(V1,V5), P_cross_product-{F}(V5,V4,V6), P_estin-{F}(V7), P_empty_set-{F}(V8), P_universal_set-{F}(V9), P_infinity-{F}(V10), P_f25-{F}(V11), P_identity_relation-{F}(V12), P_converse-{F}(V12,V3), little_set-{F}(V13), P_singleton_set-{F}(V1,V13), P_non_ordered_pair-{F}(V1,V0,V13), P_non_ordered_pair-{F}(V14,V15,V6), P_non_ordered_pair-{F}(V16,V17,V15), V13 == V17, V13 == V16 | P_ordered_pair-{T}(V1,V0,V14)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4046: mergings( V57 == V66, V0 == V1, V1 == V2, V2 == V3, V3 == V11, V11 == V19, V19 == V20, V20 == V26, V26 == V32, V32 == V39, V39 == V40, V40 == V47, V47 == V51, V51 == V59, V59 == V60, V60 == V68, V9 == V12, V12 == V13, V13 == V38, V4 == V21, V21 == V27, V27 == V33, V33 == V41, V41 == V52, V52 == V58, V58 == V61, V61 == V67, V5 == V22, V22 == V28, V28 == V34, V34 == V42, V42 == V53, V53 == V62, V6 == V23, V23 == V29, V29 == V35, V35 == V43, V43 == V54, V54 == V63, V7 == V24, V24 == V30, V30 == V36, V36 == V44, V44 == V55, V55 == V64, V8 == V25, V25 == V31, V31 == V37, V37 == V45, V45 == V56, V56 == V65; #3993 ), references = 1, size of lhs = 23:
% 130.09/130.28 little_set-{F}(V0), member-{F}(V0,V1), member-{F}(V0,V2), P_cross_product-{F}(V2,V1,V3), member-{F}(V0,V4), member-{F}(V0,V5), member-{F}(V0,V6), P_cross_product-{F}(V6,V5,V7), P_universal_set-{F}(V8), P_infinity-{F}(V9), P_f25-{F}(V10), P_identity_relation-{F}(V11), P_domain_of-{F}(V11,V4), member-{F}(V12,V11), P_non_ordered_pair-{F}(V13,V12,V3), P_converse-{F}(V11,V14), member-{F}(V12,V14), little_set-{F}(V15), P_singleton_set-{F}(V0,V15), P_non_ordered_pair-{F}(V0,V0,V15), P_empty_set-{F}(V16), P_non_ordered_pair-{F}(V16,V16,V7), P_estin-{F}(V17) | P_f8-{T}(V0,V11,V13)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4096: mergings( V57 == V66, V0 == V1, V1 == V2, V2 == V3, V3 == V11, V11 == V19, V19 == V20, V20 == V26, V26 == V32, V32 == V39, V39 == V40, V40 == V47, V47 == V51, V51 == V59, V59 == V60, V9 == V12, V12 == V13, V13 == V38, V4 == V21, V21 == V27, V27 == V33, V33 == V41, V41 == V52, V52 == V58, V58 == V61, V5 == V22, V22 == V28, V28 == V34, V34 == V42, V42 == V53, V53 == V62, V6 == V23, V23 == V29, V29 == V35, V35 == V43, V43 == V54, V54 == V63, V7 == V24, V24 == V30, V30 == V36, V36 == V44, V44 == V55, V55 == V64, V8 == V25, V25 == V31, V31 == V37, V37 == V45, V45 == V56, V56 == V65; #3994 ), references = 1, size of lhs = 26:
% 130.09/130.28 little_set-{F}(V0), member-{F}(V0,V1), member-{F}(V0,V2), P_cross_product-{F}(V2,V1,V3), member-{F}(V0,V4), member-{F}(V0,V5), member-{F}(V0,V6), P_cross_product-{F}(V6,V5,V7), P_estin-{F}(V8), P_empty_set-{F}(V9), P_universal_set-{F}(V10), P_infinity-{F}(V11), P_f25-{F}(V12), P_identity_relation-{F}(V13), P_domain_of-{F}(V13,V4), member-{F}(V14,V13), P_non_ordered_pair-{F}(V15,V14,V3), P_converse-{F}(V13,V16), member-{F}(V14,V16), little_set-{F}(V17), P_singleton_set-{F}(V0,V17), P_non_ordered_pair-{F}(V0,V0,V17), P_non_ordered_pair-{F}(V18,V9,V7), P_non_ordered_pair-{F}(V19,V20,V18), V17 == V20, V17 == V19 | P_f8-{T}(V0,V13,V15)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4269: exists( #198, #4267 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), little_set-{F}(V5), V5 == V1, P_non_ordered_pair-{F}(V6,V7,V5) | P_f26-{T}(V5,V7), P_f26-{T}(V5,V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4274: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4287: exists( #181, #4285 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), member-{F}(V4,V3), P_non_ordered_pair-{F}(V5,V6,V3) | P_successor-{T}(V4,V6), P_successor-{T}(V4,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4302: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4335: mergings( V2 == V8, V8 == V14, V14 == V17, V3 == V9, V9 == V18, V4 == V10, V10 == V19, V5 == V11, V11 == V20, V6 == V12, V7 == V13; #4323 ), references = 1, size of lhs = 13:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_universal_set-{F}(V4), P_infinity-{F}(V5), ordered_pair_predicate-{F}(V6), member-{F}(V6,V1), member-{F}(V6,V7), P_domain_of-{F}(V7,V8), member-{F}(V6,V9), P_image-{F}(V8,V9,V10), P_non_ordered_pair-{F}(V11,V12,V10) | P_first-{T}(V6,V12), P_first-{T}(V6,V11)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4374: mergings( V3 == V4; #4372 ), references = 1, size of lhs = 7:
% 130.09/130.28 P_estin-{F}(V0), P_converse-{F}(V1,V2), member-{F}(V3,V2), P_second-{F}(V3,V4), P_first-{F}(V3,V5), P_intersection-{F}(V1,V1,V6), P_non_ordered_pair-{F}(V7,V8,V6) | P_ordered_pair-{T}(V4,V5,V8), P_ordered_pair-{T}(V4,V5,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4388: mergings( V0 == V1, V1 == V10, V10 == V17, V11 == V8; #4381 ), references = 1, size of lhs = 15:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), little_set-{F}(V4), P_empty_set-{F}(V5), P_estin-{F}(V6), P_singleton_set-{F}(V7,V4), P_second-{F}(V8,V7), member-{F}(V8,V9), P_converse-{F}(V10,V9), P_first-{F}(V8,V11), P_non_ordered_pair-{F}(V7,V11,V4), P_intersection-{F}(V10,V10,V12), P_non_ordered_pair-{F}(V5,V13,V12) | P_ordered_pair-{T}(V7,V11,V13)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4391: mergings( V0 == V1, V1 == V10; #4382 ), references = 1, size of lhs = 18:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), little_set-{F}(V6), P_singleton_set-{F}(V7,V6), P_second-{F}(V8,V7), member-{F}(V8,V9), P_converse-{F}(V10,V9), P_first-{F}(V8,V11), P_non_ordered_pair-{F}(V7,V11,V6), P_intersection-{F}(V10,V10,V12), P_non_ordered_pair-{F}(V13,V14,V12), P_non_ordered_pair-{F}(V15,V16,V13), V6 == V16, V6 == V15 | P_ordered_pair-{T}(V7,V11,V14)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4400: mergings( V0 == V1, V1 == V10, V10 == V21, V11 == V22, V12 == V17, V13 == V18, V14 == V19, V15 == V20; #4383 ), references = 1, size of lhs = 17:
% 130.09/130.28 little_set-{F}(V0), P_universal_set-{F}(V1), P_infinity-{F}(V2), P_f25-{F}(V3), P_identity_relation-{F}(V4), P_estin-{F}(V5), P_empty_set-{F}(V6), P_singleton_set-{F}(V7,V0), P_second-{F}(V8,V7), member-{F}(V8,V9), P_converse-{F}(V10,V9), P_first-{F}(V8,V11), P_non_ordered_pair-{F}(V7,V11,V0), P_intersection-{F}(V10,V10,V12), P_non_ordered_pair-{F}(V13,V14,V6), P_apply-{F}(V15,V13,V16), P_non_ordered_pair-{F}(V16,V17,V12) | P_ordered_pair-{T}(V7,V11,V17)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4618: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V11 == V17, V17 == V23, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V13 == V19, V19 == V25, V8 == V14, V14 == V20, V20 == V26, V9 == V15, V15 == V21, V21 == V27, V28 == V29; #4597 ), references = 1, size of lhs = 9:
% 130.09/130.28 P_a-{F}(V0), P_estin-{F}(V1), P_empty_set-{F}(V2), P_universal_set-{F}(V3), P_infinity-{F}(V4), P_f25-{F}(V5), P_identity_relation-{F}(V6), member-{F}(V7,V8), P_apply-{F}(V9,V0,V8) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4736: mergings( V2 == V3; #4732 ), references = 1, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), member-{F}(V2,V3), P_cross_product-{F}(V1,V4,V3) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4738: mergings( V2 == V7; #4733 ), references = 1, size of lhs = 10:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), P_estin-{F}(V4), P_empty_set-{F}(V5), member-{F}(V6,V7), P_non_ordered_pair-{F}(V8,V9,V5), P_apply-{F}(V10,V8,V11), P_cross_product-{F}(V11,V12,V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4740: mergings( V2 == V3; #4734 ), references = 1, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_domain_of-{F}(V1,V2), member-{F}(V3,V4), P_cross_product-{F}(V2,V5,V4) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #4870: mergings( V2 == V3; #4867 ), references = 1, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), member-{F}(V2,V3), P_cross_product-{F}(V4,V1,V3) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5026: mergings( V2 == V8, V8 == V11, V11 == V20, V3 == V9, V9 == V19, V4 == V10, V10 == V17, V5 == V18, V6 == V15, V7 == V16; #5013 ), references = 5, size of lhs = 12:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), P_first-{F}(V0,V1), member-{F}(V1,V2), P_f25-{F}(V3), P_identity_relation-{F}(V4), P_apply-{F}(V4,V0,V5), P_universal_set-{F}(V6), P_cross_product-{F}(V2,V6,V5), P_infinity-{F}(V7), P_empty_set-{F}(V8), P_estin-{F}(V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5037: mergings( V2 == V8, V8 == V11, V11 == V20, V3 == V9, V9 == V19, V4 == V10, V10 == V16, V5 == V17, V6 == V18, V7 == V15; #5014 ), references = 5, size of lhs = 12:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), P_first-{F}(V0,V1), member-{F}(V1,V2), P_identity_relation-{F}(V3), P_apply-{F}(V3,V0,V4), P_universal_set-{F}(V5), P_cross_product-{F}(V2,V5,V4), P_infinity-{F}(V6), P_f25-{F}(V7), P_empty_set-{F}(V8), P_estin-{F}(V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5048: mergings( V2 == V8, V8 == V11, V11 == V20, V3 == V9, V9 == V19, V4 == V10, V10 == V17, V5 == V18, V6 == V15, V7 == V16; #5015 ), references = 5, size of lhs = 12:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), P_first-{F}(V0,V1), member-{F}(V1,V2), P_f25-{F}(V3), P_identity_relation-{F}(V4), P_apply-{F}(V4,V0,V5), P_universal_set-{F}(V6), P_cross_product-{F}(V2,V6,V5), P_infinity-{F}(V7), P_empty_set-{F}(V8), P_estin-{F}(V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5064: mergings( V2 == V12; #5060 ), references = 1, size of lhs = 12:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), P_apply-{F}(V3,V0,V4), P_universal_set-{F}(V5), P_cross_product-{F}(V6,V5,V4), P_cross_product-{F}(V6,V7,V1), P_infinity-{F}(V8), P_empty_set-{F}(V9), P_estin-{F}(V10) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5066: mergings( V2 == V12; #5061 ), references = 1, size of lhs = 12:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_identity_relation-{F}(V2), P_apply-{F}(V2,V0,V3), P_universal_set-{F}(V4), P_cross_product-{F}(V5,V4,V3), P_cross_product-{F}(V5,V6,V1), P_infinity-{F}(V7), P_f25-{F}(V8), P_empty_set-{F}(V9), P_estin-{F}(V10) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5068: mergings( V2 == V12; #5062 ), references = 1, size of lhs = 12:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), P_apply-{F}(V3,V0,V4), P_universal_set-{F}(V5), P_cross_product-{F}(V6,V5,V4), P_cross_product-{F}(V6,V7,V1), P_infinity-{F}(V8), P_empty_set-{F}(V9), P_estin-{F}(V10) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5170: mergings( V2 == V13, V3 == V12, V4 == V9, V5 == V11; #5163 ), references = 1, size of lhs = 13:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), P_f25-{F}(V1), P_identity_relation-{F}(V2), P_apply-{F}(V2,V0,V3), P_universal_set-{F}(V4), P_cross_product-{F}(V5,V4,V3), P_infinity-{F}(V6), P_empty_set-{F}(V7), P_estin-{F}(V8), P_image-{F}(V5,V9,V10), P_f22-{F}(V11,V5,V9,V0), member-{F}(V11,V10) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5175: mergings( V2 == V13, V3 == V12, V4 == V8, V5 == V10; #5164 ), references = 1, size of lhs = 13:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), P_identity_relation-{F}(V1), P_apply-{F}(V1,V0,V2), P_universal_set-{F}(V3), P_cross_product-{F}(V4,V3,V2), P_infinity-{F}(V5), P_f25-{F}(V6), P_empty_set-{F}(V7), P_estin-{F}(V8), P_image-{F}(V4,V9,V10), P_f22-{F}(V11,V4,V9,V0), member-{F}(V11,V10) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5180: mergings( V2 == V13, V3 == V12, V4 == V9, V5 == V11; #5165 ), references = 1, size of lhs = 13:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), P_f25-{F}(V1), P_identity_relation-{F}(V2), P_apply-{F}(V2,V0,V3), P_universal_set-{F}(V4), P_cross_product-{F}(V5,V4,V3), P_infinity-{F}(V6), P_empty_set-{F}(V7), P_estin-{F}(V8), P_image-{F}(V5,V9,V10), P_f22-{F}(V11,V5,V9,V0), member-{F}(V11,V10) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5242: mergings( V2 == V8, V8 == V11, V11 == V20, V3 == V19, V4 == V15, V5 == V18, V6 == V12, V7 == V13; #5231 ), references = 1, size of lhs = 13:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), P_f25-{F}(V3), P_identity_relation-{F}(V4), P_apply-{F}(V4,V0,V5), P_universal_set-{F}(V6), P_cross_product-{F}(V7,V6,V5), P_intersection-{F}(V7,V8,V2), P_infinity-{F}(V9), P_empty_set-{F}(V10), P_estin-{F}(V11) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5251: mergings( V2 == V8, V8 == V11, V11 == V20, V3 == V19, V4 == V14, V5 == V17, V6 == V18, V7 == V12; #5232 ), references = 1, size of lhs = 13:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), P_identity_relation-{F}(V3), P_apply-{F}(V3,V0,V4), P_universal_set-{F}(V5), P_cross_product-{F}(V6,V5,V4), P_intersection-{F}(V6,V7,V2), P_infinity-{F}(V8), P_f25-{F}(V9), P_empty_set-{F}(V10), P_estin-{F}(V11) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5260: mergings( V2 == V8, V8 == V11, V11 == V20, V3 == V19, V4 == V15, V5 == V18, V6 == V12, V7 == V13; #5233 ), references = 1, size of lhs = 13:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), P_f25-{F}(V3), P_identity_relation-{F}(V4), P_apply-{F}(V4,V0,V5), P_universal_set-{F}(V6), P_cross_product-{F}(V7,V6,V5), P_intersection-{F}(V7,V8,V2), P_infinity-{F}(V9), P_empty_set-{F}(V10), P_estin-{F}(V11) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5331: mergings( V2 == V8, V8 == V17, V3 == V9, V9 == V16, V4 == V10, V10 == V14, V5 == V15, V6 == V11, V7 == V12; #5319 ), references = 1, size of lhs = 10:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), P_f25-{F}(V1), P_identity_relation-{F}(V2), P_apply-{F}(V2,V0,V3), P_universal_set-{F}(V4), P_cross_product-{F}(V4,V4,V3), P_infinity-{F}(V5), P_empty_set-{F}(V6), P_estin-{F}(V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5341: mergings( V2 == V8, V8 == V17, V3 == V9, V9 == V16, V4 == V10, V10 == V13, V5 == V14, V6 == V15, V7 == V11; #5320 ), references = 1, size of lhs = 10:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), P_identity_relation-{F}(V1), P_apply-{F}(V1,V0,V2), P_universal_set-{F}(V3), P_cross_product-{F}(V3,V3,V2), P_infinity-{F}(V4), P_f25-{F}(V5), P_empty_set-{F}(V6), P_estin-{F}(V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5351: mergings( V2 == V8, V8 == V17, V3 == V9, V9 == V16, V4 == V10, V10 == V14, V5 == V15, V6 == V11, V7 == V12; #5321 ), references = 1, size of lhs = 10:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), P_f25-{F}(V1), P_identity_relation-{F}(V2), P_apply-{F}(V2,V0,V3), P_universal_set-{F}(V4), P_cross_product-{F}(V4,V4,V3), P_infinity-{F}(V5), P_empty_set-{F}(V6), P_estin-{F}(V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5431: mergings( V2 == V8, V8 == V15, V15 == V24, V3 == V9, V9 == V23, V4 == V10, V10 == V21, V5 == V11, V11 == V22, V6 == V12, V12 == V19, V7 == V20; #5416 ), references = 5, size of lhs = 14:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_range_of-{F}(V1,V2), P_first-{F}(V0,V3), member-{F}(V3,V4), P_cross_product-{F}(V4,V2,V5), P_f25-{F}(V6), P_identity_relation-{F}(V7), P_apply-{F}(V7,V0,V5), P_universal_set-{F}(V8), P_infinity-{F}(V9), P_empty_set-{F}(V10), P_estin-{F}(V11) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5444: mergings( V2 == V8, V8 == V15, V15 == V24, V3 == V9, V9 == V23, V4 == V10, V10 == V20, V5 == V11, V11 == V21, V6 == V12, V12 == V22, V7 == V19; #5417 ), references = 5, size of lhs = 14:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_range_of-{F}(V1,V2), P_first-{F}(V0,V3), member-{F}(V3,V4), P_cross_product-{F}(V4,V2,V5), P_identity_relation-{F}(V6), P_apply-{F}(V6,V0,V5), P_universal_set-{F}(V7), P_infinity-{F}(V8), P_f25-{F}(V9), P_empty_set-{F}(V10), P_estin-{F}(V11) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5457: mergings( V2 == V8, V8 == V15, V15 == V24, V3 == V9, V9 == V23, V4 == V10, V10 == V21, V5 == V11, V11 == V22, V6 == V12, V12 == V19, V7 == V20; #5418 ), references = 4, size of lhs = 14:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_range_of-{F}(V1,V2), P_first-{F}(V0,V3), member-{F}(V3,V4), P_cross_product-{F}(V4,V2,V5), P_f25-{F}(V6), P_identity_relation-{F}(V7), P_apply-{F}(V7,V0,V5), P_universal_set-{F}(V8), P_infinity-{F}(V9), P_empty_set-{F}(V10), P_estin-{F}(V11) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5468: mergings( V2 == V14; #5464 ), references = 1, size of lhs = 14:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_range_of-{F}(V1,V2), member-{F}(V0,V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_apply-{F}(V5,V0,V6), P_cross_product-{F}(V7,V2,V6), P_cross_product-{F}(V7,V8,V3), P_universal_set-{F}(V9), P_infinity-{F}(V10), P_empty_set-{F}(V11), P_estin-{F}(V12) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5470: mergings( V2 == V14; #5465 ), references = 1, size of lhs = 14:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_range_of-{F}(V1,V2), member-{F}(V0,V3), P_identity_relation-{F}(V4), P_apply-{F}(V4,V0,V5), P_cross_product-{F}(V6,V2,V5), P_cross_product-{F}(V6,V7,V3), P_universal_set-{F}(V8), P_infinity-{F}(V9), P_f25-{F}(V10), P_empty_set-{F}(V11), P_estin-{F}(V12) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5472: mergings( V2 == V14; #5466 ), references = 1, size of lhs = 14:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_range_of-{F}(V1,V2), member-{F}(V0,V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_apply-{F}(V5,V0,V6), P_cross_product-{F}(V7,V2,V6), P_cross_product-{F}(V7,V8,V3), P_universal_set-{F}(V9), P_infinity-{F}(V10), P_empty_set-{F}(V11), P_estin-{F}(V12) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5554: mergings( V2 == V8, V8 == V19, V3 == V9, V9 == V18, V4 == V10, V10 == V16, V5 == V17, V6 == V14, V7 == V15; #5542 ), references = 1, size of lhs = 12:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_range_of-{F}(V1,V2), P_f25-{F}(V3), P_identity_relation-{F}(V4), P_apply-{F}(V4,V0,V5), P_universal_set-{F}(V6), P_cross_product-{F}(V6,V2,V5), P_infinity-{F}(V7), P_empty_set-{F}(V8), P_estin-{F}(V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5564: mergings( V2 == V8, V8 == V19, V3 == V9, V9 == V18, V4 == V10, V10 == V15, V5 == V16, V6 == V17, V7 == V14; #5543 ), references = 1, size of lhs = 12:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_range_of-{F}(V1,V2), P_identity_relation-{F}(V3), P_apply-{F}(V3,V0,V4), P_universal_set-{F}(V5), P_cross_product-{F}(V5,V2,V4), P_infinity-{F}(V6), P_f25-{F}(V7), P_empty_set-{F}(V8), P_estin-{F}(V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5574: mergings( V2 == V8, V8 == V19, V3 == V9, V9 == V18, V4 == V10, V10 == V16, V5 == V17, V6 == V14, V7 == V15; #5544 ), references = 1, size of lhs = 12:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_range_of-{F}(V1,V2), P_f25-{F}(V3), P_identity_relation-{F}(V4), P_apply-{F}(V4,V0,V5), P_universal_set-{F}(V6), P_cross_product-{F}(V6,V2,V5), P_infinity-{F}(V7), P_empty_set-{F}(V8), P_estin-{F}(V9) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5677: mergings( V2 == V8, V8 == V11, V11 == V22, V3 == V21, V4 == V19, V5 == V20, V6 == V14, V7 == V15; #5666 ), references = 1, size of lhs = 15:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), member-{F}(V0,V3), P_range_of-{F}(V3,V4), P_f25-{F}(V5), P_identity_relation-{F}(V6), P_apply-{F}(V6,V0,V7), P_cross_product-{F}(V8,V4,V7), P_intersection-{F}(V8,V9,V2), P_universal_set-{F}(V10), P_infinity-{F}(V11), P_empty_set-{F}(V12), P_estin-{F}(V13) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5686: mergings( V2 == V8, V8 == V11, V11 == V22, V3 == V21, V4 == V18, V5 == V19, V6 == V20, V7 == V14; #5667 ), references = 1, size of lhs = 15:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), member-{F}(V0,V3), P_range_of-{F}(V3,V4), P_identity_relation-{F}(V5), P_apply-{F}(V5,V0,V6), P_cross_product-{F}(V7,V4,V6), P_intersection-{F}(V7,V8,V2), P_universal_set-{F}(V9), P_infinity-{F}(V10), P_f25-{F}(V11), P_empty_set-{F}(V12), P_estin-{F}(V13) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5695: mergings( V2 == V8, V8 == V11, V11 == V22, V3 == V21, V4 == V19, V5 == V20, V6 == V14, V7 == V15; #5668 ), references = 1, size of lhs = 15:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), member-{F}(V0,V3), P_range_of-{F}(V3,V4), P_f25-{F}(V5), P_identity_relation-{F}(V6), P_apply-{F}(V6,V0,V7), P_cross_product-{F}(V8,V4,V7), P_intersection-{F}(V8,V9,V2), P_universal_set-{F}(V10), P_infinity-{F}(V11), P_empty_set-{F}(V12), P_estin-{F}(V13) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5791: mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V11, V6 == V12; #5785 ), references = 1, size of lhs = 10:
% 130.09/130.28 P_identity_relation-{F}(V0), P_estin-{F}(V1), P_empty_set-{F}(V2), P_universal_set-{F}(V3), P_infinity-{F}(V4), P_f25-{F}(V5), ordered_pair_predicate-{F}(V6), member-{F}(V6,V7), P_range_of-{F}(V7,V8), P_non_ordered_pair-{F}(V9,V10,V8) | P_second-{T}(V6,V10), P_second-{T}(V6,V9)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5831: mergings( V2 == V6, V3 == V7; #5826 ), references = 1, size of lhs = 7:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_image-{F}(V3,V4,V5), member-{F}(V6,V5), P_f22-{F}(V6,V3,V4,V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5836: mergings( V2 == V10, V3 == V11, V4 == V6, V5 == V7; #5828 ), references = 1, size of lhs = 11:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), P_estin-{F}(V4), P_empty_set-{F}(V5), member-{F}(V6,V7), P_non_ordered_pair-{F}(V8,V9,V5), P_apply-{F}(V10,V8,V11), P_image-{F}(V11,V12,V7), P_f22-{F}(V6,V11,V12,V13) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5843: mergings( V4 == V12, V5 == V13, V6 == V8, V7 == V9; #5838 ), references = 1, size of lhs = 11:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), P_estin-{F}(V4), P_empty_set-{F}(V5), member-{F}(V6,V7), P_non_ordered_pair-{F}(V8,V9,V5), P_apply-{F}(V10,V8,V11), P_image-{F}(V11,V12,V7), P_f22-{F}(V6,V11,V12,V13) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5848: mergings( V4 == V8, V5 == V1; #5844 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_image-{F}(V3,V4,V5), member-{F}(V6,V5) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5853: mergings( V4 == V12, V5 == V13, V6 == V8, V7 == V9; #5845 ), references = 1, size of lhs = 10:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), P_estin-{F}(V4), P_empty_set-{F}(V5), member-{F}(V6,V7), P_non_ordered_pair-{F}(V8,V9,V5), P_apply-{F}(V10,V8,V11), P_image-{F}(V11,V12,V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5967: mergings( V12 == V16, V2 == V8, V8 == V11, V11 == V24, V3 == V9, V9 == V23, V4 == V10, V10 == V21, V5 == V22, V6 == V19, V7 == V20; #5954 ), references = 2, size of lhs = 15:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), P_first-{F}(V0,V1), member-{F}(V1,V2), member-{F}(V1,V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), P_apply-{F}(V5,V0,V6), P_universal_set-{F}(V7), P_cross_product-{F}(V2,V7,V8), P_range_of-{F}(V8,V9), P_cross_product-{F}(V3,V9,V6), P_infinity-{F}(V10), P_empty_set-{F}(V11), P_estin-{F}(V12) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5979: mergings( V12 == V16, V2 == V8, V8 == V11, V11 == V24, V3 == V9, V9 == V23, V4 == V10, V10 == V20, V5 == V21, V6 == V22, V7 == V19; #5955 ), references = 2, size of lhs = 15:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), P_first-{F}(V0,V1), member-{F}(V1,V2), member-{F}(V1,V3), P_identity_relation-{F}(V4), P_apply-{F}(V4,V0,V5), P_universal_set-{F}(V6), P_cross_product-{F}(V2,V6,V7), P_range_of-{F}(V7,V8), P_cross_product-{F}(V3,V8,V5), P_infinity-{F}(V9), P_f25-{F}(V10), P_empty_set-{F}(V11), P_estin-{F}(V12) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #5998: mergings( V2 == V8, V8 == V11, V11 == V22, V3 == V9, V9 == V21, V4 == V10, V10 == V17, V5 == V20, V6 == V14, V7 == V15; #5986 ), references = 1, size of lhs = 14:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), P_f25-{F}(V3), P_identity_relation-{F}(V4), P_apply-{F}(V4,V0,V5), P_universal_set-{F}(V6), P_cross_product-{F}(V6,V6,V7), P_range_of-{F}(V7,V8), P_cross_product-{F}(V2,V8,V5), P_infinity-{F}(V9), P_empty_set-{F}(V10), P_estin-{F}(V11) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6009: mergings( V2 == V8, V8 == V11, V11 == V22, V3 == V9, V9 == V21, V4 == V10, V10 == V16, V5 == V19, V6 == V20, V7 == V14; #5987 ), references = 1, size of lhs = 14:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), little_set-{F}(V0), member-{F}(V0,V1), P_domain_of-{F}(V1,V2), P_identity_relation-{F}(V3), P_apply-{F}(V3,V0,V4), P_universal_set-{F}(V5), P_cross_product-{F}(V5,V5,V6), P_range_of-{F}(V6,V7), P_cross_product-{F}(V2,V7,V4), P_infinity-{F}(V8), P_f25-{F}(V9), P_empty_set-{F}(V10), P_estin-{F}(V11) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6034: exists( #198, #6032 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), little_set-{F}(V5), V5 == V1, P_non_ordered_pair-{F}(V6,V7,V5) | P_f26-{T}(V5,V7), P_f26-{T}(V5,V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6039: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6042: exists( #181, #6040 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), member-{F}(V4,V3), P_non_ordered_pair-{F}(V5,V6,V3) | P_successor-{T}(V4,V6), P_successor-{T}(V4,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6048: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6178: mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V11; #6173 ), references = 1, size of lhs = 10:
% 130.09/130.28 P_f25-{F}(V0), P_identity_relation-{F}(V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_universal_set-{F}(V4), P_infinity-{F}(V5), member-{F}(V6,V1), member-{F}(V7,V8), P_image-{F}(V9,V10,V8), P_f22-{F}(V7,V9,V10,V6) | P_first-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6208: exists( #198, #6204 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), little_set-{F}(V5), V5 == V1, P_non_ordered_pair-{F}(V6,V7,V5) | P_f26-{T}(V5,V7), P_f26-{T}(V5,V6)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6225: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6228: exists( #181, #6226 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), member-{F}(V4,V3), P_non_ordered_pair-{F}(V5,V6,V3) | P_successor-{T}(V4,V6), P_successor-{T}(V4,V5)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6245: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6248: exists( #162, #107 ), references = 1, size of lhs = 8:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5), member-{F}(V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V7)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6270: exists( #156, #12 ), references = 3, size of lhs = 3:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), P_f2-{F}(V0,V1), P_f3-{F}(V0,V2) | P_ordered_pair-{T}(V1,V2,V0)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6303: mergings( V3 == V9, V9 == V15, V4 == V10, V10 == V16, V5 == V11, V11 == V17, V6 == V12, V12 == V18, V7 == V13, V13 == V19, V8 == V14, V14 == V20; #6290 ), references = 1, size of lhs = 10:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), P_f2-{F}(V0,V1), little_set-{F}(V1), member-{F}(V0,V2), P_identity_relation-{F}(V2), P_estin-{F}(V3), P_empty_set-{F}(V4), P_universal_set-{F}(V5), P_infinity-{F}(V6), P_f25-{F}(V7) | P_f3-{T}(V0,V1)
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6380: mergings( V3 == V9, V9 == V16, V4 == V10, V10 == V15, V5 == V11, V6 == V12, V7 == V13, V8 == V14; #6369 ), references = 1, size of lhs = 9:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), P_empty_set-{F}(V4), P_estin-{F}(V5), P_ordered_pair-{F}(V6,V6,V4), P_singleton_set-{F}(V7,V6), P_non_ordered_pair-{F}(V7,V8,V6) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6393: mergings( V3 == V9, V9 == V19, V4 == V10, V10 == V20, V5 == V11, V11 == V15, V6 == V12, V12 == V16, V7 == V13, V13 == V17, V8 == V14, V14 == V18; #6371 ), references = 1, size of lhs = 11:
% 130.09/130.28 P_universal_set-{F}(V0), P_infinity-{F}(V1), P_f25-{F}(V2), P_identity_relation-{F}(V3), P_estin-{F}(V4), P_empty_set-{F}(V5), P_singleton_set-{F}(V6,V7), P_non_ordered_pair-{F}(V6,V8,V7), P_ordered_pair-{F}(V7,V7,V9), P_apply-{F}(V10,V11,V9), P_non_ordered_pair-{F}(V11,V12,V5) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6462: mergings( V3 == V9, V4 == V10, V5 == V11, V6 == V12, V7 == V13, V8 == V14; #6455 ), references = 1, size of lhs = 9:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), P_a-{F}(V0), P_f2-{F}(V0,V1), P_estin-{F}(V2), P_empty_set-{F}(V3), P_universal_set-{F}(V4), P_infinity-{F}(V5), P_f25-{F}(V6), P_identity_relation-{F}(V7) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6470: mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V11, V6 == V12, V7 == V13; #6463 ), references = 1, size of lhs = 8:
% 130.09/130.28 ordered_pair_predicate-{F}(V0), P_a-{F}(V0), P_estin-{F}(V1), P_empty_set-{F}(V2), P_universal_set-{F}(V3), P_infinity-{F}(V4), P_f25-{F}(V5), P_identity_relation-{F}(V6) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6485: mergings( V1 == V7, V7 == V13, V2 == V8, V8 == V14, V3 == V9, V9 == V15, V4 == V10, V10 == V16, V5 == V11, V11 == V17, V6 == V12, V12 == V18; #6472 ), references = 1, size of lhs = 6:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4), P_identity_relation-{F}(V5) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6497: mergings( V1 == V6, V6 == V11, V2 == V7, V7 == V12, V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V10 == V15; #6486 ), references = 1, size of lhs = 5:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6507: mergings( V1 == V5, V5 == V9, V2 == V6, V6 == V10, V3 == V7, V7 == V11, V4 == V8, V8 == V12; #6498 ), references = 1, size of lhs = 4:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6515: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V9; #6508 ), references = 1, size of lhs = 3:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6521: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #6516 ), references = 1, size of lhs = 2:
% 130.09/130.28 P_estin-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6525: mergings( V1 == V2, V2 == V3; #6522 ), references = 1, size of lhs = 1:
% 130.09/130.28 P_estin-{F}(V0) | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 #6527: exists( #165, #6522 ), references = 1, size of lhs = 0:
% 130.09/130.28 FALSE | FALSE
% 130.09/130.28 (used 0 times, uses = {})
% 130.09/130.28
% 130.09/130.28 number of learnt formulas = 198
% 130.09/130.28
% 130.09/130.28
% 130.09/130.28 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 130.09/130.28
% 130.09/130.28 randbase = 1
%------------------------------------------------------------------------------