TSTP Solution File: SET024-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET024-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:15:36 EDT 2022
% Result : Unsatisfiable 0.40s 0.58s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET024-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n021.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 02:21:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.40/0.58 GeoParameters:
% 0.40/0.58
% 0.40/0.58 tptp_input = 1
% 0.40/0.58 tptp_output = 0
% 0.40/0.58 nonempty = 1
% 0.40/0.58 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.40/0.58
% 0.40/0.58
% 0.40/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58
% 0.40/0.58 RuleSystem INPUT:
% 0.40/0.58
% 0.40/0.58 Initial Rules:
% 0.40/0.58 #0: input, references = 3, size of lhs = 1:
% 0.40/0.58 member-{F}(V0,V1) | little_set-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #1: input, references = 3, size of lhs = 2:
% 0.40/0.58 P_f1-{F}(V0,V1,V2), V0 == V1 | little_set-{T}(V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #2: input, references = 3, size of lhs = 2:
% 0.40/0.58 P_f1-{F}(V0,V1,V2), V0 == V1 | member-{T}(V2,V0), member-{T}(V2,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #3: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_f1-{F}(V0,V1,V2), member-{F}(V2,V0), member-{F}(V2,V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #4: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_non_ordered_pair-{F}(V2,V0,V3), member-{F}(V1,V3), V1 == V0, V1 == V2 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #5: input, references = 4, size of lhs = 2:
% 0.40/0.58 little_set-{F}(V1), P_non_ordered_pair-{F}(V1,V2,V3) | member-{T}(V1,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #6: input, references = 3, size of lhs = 2:
% 0.40/0.58 little_set-{F}(V1), P_non_ordered_pair-{F}(V2,V1,V3) | member-{T}(V1,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #7: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_non_ordered_pair-{F}(V0,V1,V2) | little_set-{T}(V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #8: input, references = 4, size of lhs = 3:
% 0.40/0.58 P_singleton_set-{F}(V0,V1), P_non_ordered_pair-{F}(V0,V0,V2), V1 == V2 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #9: input, references = 3, size of lhs = 5:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #10: input, references = 3, size of lhs = 2:
% 0.40/0.58 P_f2-{F}(V0,V1), ordered_pair_predicate-{F}(V0) | little_set-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #11: input, references = 3, size of lhs = 2:
% 0.40/0.58 P_f3-{F}(V0,V1), ordered_pair_predicate-{F}(V0) | little_set-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #12: input, references = 3, size of lhs = 5:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #13: input, references = 3, size of lhs = 3:
% 0.40/0.58 little_set-{F}(V0), P_ordered_pair-{F}(V1,V0,V2), little_set-{F}(V1) | ordered_pair_predicate-{T}(V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #14: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_first-{F}(V0,V2), P_f4-{F}(V1,V0,V3), member-{F}(V1,V2) | little_set-{T}(V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #15: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_first-{F}(V0,V2), P_f5-{F}(V1,V0,V3), member-{F}(V1,V2) | little_set-{T}(V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #16: input, references = 3, size of lhs = 6:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #17: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_first-{F}(V0,V2), P_f4-{F}(V1,V0,V3), member-{F}(V1,V2) | member-{T}(V1,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #18: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #19: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_second-{F}(V0,V2), P_f6-{F}(V1,V0,V3), member-{F}(V1,V2) | little_set-{T}(V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #20: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_second-{F}(V0,V2), P_f7-{F}(V1,V0,V3), member-{F}(V1,V2) | little_set-{T}(V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #21: input, references = 3, size of lhs = 6:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #22: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_second-{F}(V0,V2), P_f7-{F}(V1,V0,V3), member-{F}(V1,V2) | member-{T}(V1,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #23: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #24: input, references = 3, size of lhs = 2:
% 0.40/0.58 P_estin-{F}(V0), member-{F}(V1,V0) | ordered_pair_predicate-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #25: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), P_first-{F}(V1,V2), P_second-{F}(V1,V3), member-{F}(V1,V0) | member-{T}(V2,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #26: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #27: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_estin-{F}(V0), P_intersection-{F}(V1,V3,V4), member-{F}(V2,V4) | member-{T}(V2,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #28: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_estin-{F}(V0), P_intersection-{F}(V3,V1,V4), member-{F}(V2,V4) | member-{T}(V2,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #29: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), member-{F}(V2,V1), P_intersection-{F}(V3,V1,V4), member-{F}(V2,V3) | member-{T}(V2,V4)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #30: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), P_complement-{F}(V1,V3), member-{F}(V2,V3), member-{F}(V2,V1) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #31: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_estin-{F}(V0), little_set-{F}(V1), P_complement-{F}(V2,V3) | member-{T}(V1,V3), member-{T}(V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #32: input, references = 3, size of lhs = 7:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #33: input, references = 3, size of lhs = 4:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #34: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), P_domain_of-{F}(V1,V3), P_f8-{F}(V2,V1,V4), member-{F}(V2,V3) | member-{T}(V4,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #35: input, references = 3, size of lhs = 6:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #36: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #37: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_estin-{F}(V0), P_cross_product-{F}(V3,V2,V4), member-{F}(V1,V4) | ordered_pair_predicate-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #38: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), P_first-{F}(V2,V3), P_cross_product-{F}(V1,V4,V5), member-{F}(V2,V5) | member-{T}(V3,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #39: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), P_second-{F}(V2,V3), P_cross_product-{F}(V4,V1,V5), member-{F}(V2,V5) | member-{T}(V3,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #40: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #41: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_estin-{F}(V0), P_converse-{F}(V2,V3), member-{F}(V1,V3) | ordered_pair_predicate-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #42: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #43: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #44: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), P_rotate_right-{F}(V1,V3), P_f9-{F}(V2,V1,V4), member-{F}(V2,V3) | little_set-{T}(V4)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #45: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), P_rotate_right-{F}(V1,V3), P_f10-{F}(V2,V1,V4), member-{F}(V2,V3) | little_set-{T}(V4)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #46: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), P_rotate_right-{F}(V1,V3), P_f11-{F}(V2,V1,V4), member-{F}(V2,V3) | little_set-{T}(V4)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #47: input, references = 3, size of lhs = 9:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #48: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #49: input, references = 3, size of lhs = 11:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #50: input, references = 3, size of lhs = 4:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #51: input, references = 3, size of lhs = 4:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #52: input, references = 3, size of lhs = 4:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #53: input, references = 3, size of lhs = 9:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #54: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #55: input, references = 3, size of lhs = 11:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #56: input, references = 3, size of lhs = 5:
% 0.40/0.58 P_estin-{F}(V0), P_successor-{F}(V1,V2), P_singleton_set-{F}(V1,V3), P_union-{F}(V1,V3,V4), V2 == V4 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #57: input, references = 4, size of lhs = 3:
% 0.40/0.58 P_estin-{F}(V0), P_empty_set-{F}(V1), member-{F}(V2,V1) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #58: input, references = 4, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), little_set-{F}(V3) | member-{T}(V3,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #59: input, references = 4, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3) | little_set-{T}(V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #60: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3) | member-{T}(V1,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #61: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #62: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #63: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #64: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #65: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #66: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #67: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #68: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #69: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #70: input, references = 3, size of lhs = 5:
% 0.40/0.58 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), proper_subset-{F}(V5,V5) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #71: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #72: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #73: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #74: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #75: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #76: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #77: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #78: input, references = 3, size of lhs = 13:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #79: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #80: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #81: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #82: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #83: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #84: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #85: input, references = 3, size of lhs = 5:
% 0.40/0.58 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), function-{F}(V4) | relation-{T}(V4)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #86: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #87: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #88: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #89: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #90: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #91: input, references = 3, size of lhs = 9:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #92: input, references = 3, size of lhs = 11:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #93: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #94: input, references = 3, size of lhs = 7:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #95: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #96: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #97: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #98: input, references = 3, size of lhs = 6:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #99: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #100: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #101: input, references = 3, size of lhs = 9:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #102: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #103: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #104: input, references = 3, size of lhs = 10:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #105: input, references = 3, size of lhs = 10:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #106: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #107: input, references = 3, size of lhs = 10:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #108: input, references = 3, size of lhs = 10:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #109: input, references = 3, size of lhs = 10:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #110: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #111: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #112: input, references = 3, size of lhs = 9:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #113: input, references = 3, size of lhs = 9:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #114: input, references = 3, size of lhs = 9:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #115: input, references = 3, size of lhs = 11:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #116: input, references = 3, size of lhs = 10:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #117: input, references = 3, size of lhs = 12:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #118: input, references = 3, size of lhs = 10:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #119: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #120: input, references = 3, size of lhs = 9:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #121: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #122: input, references = 3, size of lhs = 10:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #123: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #124: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #125: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #126: input, references = 3, size of lhs = 10:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #127: input, references = 3, size of lhs = 9:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #128: input, references = 3, size of lhs = 9:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #129: input, references = 3, size of lhs = 9:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #130: input, references = 3, size of lhs = 12:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #131: input, references = 3, size of lhs = 11:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #132: input, references = 3, size of lhs = 11:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #133: input, references = 3, size of lhs = 16:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #134: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #135: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #136: input, references = 3, size of lhs = 7:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #137: input, references = 3, size of lhs = 15:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #138: input, references = 3, size of lhs = 10:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #139: input, references = 3, size of lhs = 10:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #140: input, references = 3, size of lhs = 16:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #141: input, references = 3, size of lhs = 11:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #142: input, references = 3, size of lhs = 11:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #143: input, references = 3, size of lhs = 13:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #144: input, references = 3, size of lhs = 9:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #145: input, references = 3, size of lhs = 11:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #146: input, references = 3, size of lhs = 11:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #147: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #148: input, references = 3, size of lhs = 8:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #149: input, references = 4, size of lhs = 7:
% 0.40/0.58 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-{T}(V6)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #150: input, references = 4, size of lhs = 9:
% 0.40/0.58 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), P_singleton_set-{F}(V6,V7), member-{F}(V6,V7) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #151: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f1-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #152: input, references = 4, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_non_ordered_pair-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #153: input, references = 4, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_singleton_set-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #154: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #155: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_f2-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #156: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_f3-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #157: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_first-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #158: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f4-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #159: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f5-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #160: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_second-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #161: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f6-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #162: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f7-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #163: input, references = 4, size of lhs = 0:
% 0.40/0.58 FALSE | EXISTS V0: P_estin-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #164: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #165: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #166: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #167: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_domain_of-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #168: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f8-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #169: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #170: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_converse-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #171: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_rotate_right-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #172: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f9-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #173: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f10-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #174: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f11-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #175: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_flip_range_of-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #176: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f12-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #177: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f13-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #178: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f14-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #179: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_successor-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #180: input, references = 4, size of lhs = 0:
% 0.40/0.58 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #181: input, references = 4, size of lhs = 0:
% 0.40/0.58 FALSE | EXISTS V0: P_universal_set-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #182: input, references = 5, size of lhs = 0:
% 0.40/0.58 FALSE | EXISTS V0: P_infinity-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #183: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_sigma-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #184: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f16-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #185: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f17-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #186: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #187: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_f18-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #188: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_f19-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #189: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_f20-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #190: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_f21-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #191: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_image-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #192: input, references = 3, size of lhs = 3:
% 0.40/0.58 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f22-{T}(V0,V1,V2,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #193: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f23-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #194: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_f24-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #195: input, references = 4, size of lhs = 0:
% 0.40/0.58 FALSE | EXISTS V0: P_f25-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #196: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_f26-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #197: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_range_of-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #198: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_f27-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #199: input, references = 4, size of lhs = 0:
% 0.40/0.58 FALSE | EXISTS V0: P_identity_relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #200: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_restrict-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #201: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #202: input, references = 3, size of lhs = 3:
% 0.40/0.58 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f28-{T}(V0,V1,V2,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #203: input, references = 3, size of lhs = 3:
% 0.40/0.58 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_apply_to_two_arguments-{T}(V0,V1,V2,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #204: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #205: input, references = 3, size of lhs = 3:
% 0.40/0.58 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f29-{T}(V0,V1,V2,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #206: input, references = 3, size of lhs = 3:
% 0.40/0.58 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f30-{T}(V0,V1,V2,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #207: input, references = 3, size of lhs = 3:
% 0.40/0.58 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f31-{T}(V0,V1,V2,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #208: input, references = 3, size of lhs = 5:
% 0.40/0.58 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_f32-{T}(V0,V1,V2,V3,V4,V5)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #209: input, references = 3, size of lhs = 5:
% 0.40/0.58 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_f33-{T}(V0,V1,V2,V3,V4,V5)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #210: input, references = 4, size of lhs = 0:
% 0.40/0.58 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 number of initial rules = 211
% 0.40/0.58
% 0.40/0.58 Simplifiers:
% 0.40/0.58 #211: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f1-{F}(V0,V1,V2), P_f1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #212: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_non_ordered_pair-{F}(V0,V1,V2), P_non_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #213: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_singleton_set-{F}(V0,V1), P_singleton_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #214: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #215: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f2-{F}(V0,V1), P_f2-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #216: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f3-{F}(V0,V1), P_f3-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #217: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_first-{F}(V0,V1), P_first-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #218: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f4-{F}(V0,V1,V2), P_f4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #219: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f5-{F}(V0,V1,V2), P_f5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #220: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_second-{F}(V0,V1), P_second-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #221: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f6-{F}(V0,V1,V2), P_f6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #222: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f7-{F}(V0,V1,V2), P_f7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #223: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_estin-{F}(V0), P_estin-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #224: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #225: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #226: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #227: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_domain_of-{F}(V0,V1), P_domain_of-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #228: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f8-{F}(V0,V1,V2), P_f8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #229: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #230: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_converse-{F}(V0,V1), P_converse-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #231: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_rotate_right-{F}(V0,V1), P_rotate_right-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #232: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f9-{F}(V0,V1,V2), P_f9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #233: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f10-{F}(V0,V1,V2), P_f10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #234: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f11-{F}(V0,V1,V2), P_f11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #235: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_flip_range_of-{F}(V0,V1), P_flip_range_of-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #236: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f12-{F}(V0,V1,V2), P_f12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #237: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f13-{F}(V0,V1,V2), P_f13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #238: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f14-{F}(V0,V1,V2), P_f14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #239: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_successor-{F}(V0,V1), P_successor-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #240: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #241: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_universal_set-{F}(V0), P_universal_set-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #242: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_infinity-{F}(V0), P_infinity-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #243: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_sigma-{F}(V0,V1), P_sigma-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #244: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f16-{F}(V0,V1,V2), P_f16-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #245: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f17-{F}(V0,V1,V2), P_f17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #246: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #247: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f18-{F}(V0,V1), P_f18-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #248: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f19-{F}(V0,V1), P_f19-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #249: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f20-{F}(V0,V1), P_f20-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #250: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f21-{F}(V0,V1), P_f21-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #251: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_image-{F}(V0,V1,V2), P_image-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #252: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f22-{F}(V0,V1,V2,V3), P_f22-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #253: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f23-{F}(V0,V1,V2), P_f23-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #254: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f24-{F}(V0,V1), P_f24-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #255: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f25-{F}(V0), P_f25-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #256: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f26-{F}(V0,V1), P_f26-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #257: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_range_of-{F}(V0,V1), P_range_of-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #258: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f27-{F}(V0,V1,V2), P_f27-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #259: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_identity_relation-{F}(V0), P_identity_relation-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #260: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_restrict-{F}(V0,V1,V2), P_restrict-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #261: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #262: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f28-{F}(V0,V1,V2,V3), P_f28-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #263: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_apply_to_two_arguments-{F}(V0,V1,V2,V3), P_apply_to_two_arguments-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #264: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #265: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f29-{F}(V0,V1,V2,V3), P_f29-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #266: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f30-{F}(V0,V1,V2,V3), P_f30-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #267: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f31-{F}(V0,V1,V2,V3), P_f31-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #268: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f32-{F}(V0,V1,V2,V3,V4,V5), P_f32-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #269: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_f33-{F}(V0,V1,V2,V3,V4,V5), P_f33-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #270: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 number of simplifiers = 60
% 0.40/0.58
% 0.40/0.58 Learnt:
% 0.40/0.58 #280: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V6, V3 == V6; #274 ), references = 1, size of lhs = 3:
% 0.40/0.58 P_universal_set-{F}(V0), P_empty_set-{F}(V0), P_estin-{F}(V1) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #287: exists( #152, #8 ), references = 1, size of lhs = 1:
% 0.40/0.58 P_singleton_set-{F}(V0,V1) | P_non_ordered_pair-{T}(V0,V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #291: exists( #153, #289 ), references = 1, size of lhs = 8:
% 0.40/0.58 little_set-{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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #300: mergings( V1 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11, V6 == V12; #293 ), references = 1, size of lhs = 6:
% 0.40/0.58 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
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #307: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V9, V5 == V10; #301 ), references = 1, size of lhs = 5:
% 0.40/0.58 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3), P_f25-{F}(V4) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #313: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V8; #308 ), references = 1, size of lhs = 4:
% 0.40/0.58 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2), P_infinity-{F}(V3) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #318: mergings( V1 == V4, V2 == V5, V3 == V6; #314 ), references = 1, size of lhs = 3:
% 0.40/0.58 P_estin-{F}(V0), P_empty_set-{F}(V1), P_universal_set-{F}(V2) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #322: mergings( V1 == V3, V2 == V4; #319 ), references = 1, size of lhs = 2:
% 0.40/0.58 P_estin-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #325: mergings( V1 == V2; #323 ), references = 1, size of lhs = 1:
% 0.40/0.58 P_estin-{F}(V0) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #327: exists( #163, #323 ), references = 1, size of lhs = 0:
% 0.40/0.58 FALSE | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 number of learnt formulas = 10
% 0.40/0.58
% 0.40/0.58
% 0.40/0.58 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58
% 0.40/0.58 randbase = 1
%------------------------------------------------------------------------------