TSTP Solution File: SET055+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET055+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 06:15:42 EDT 2022
% Result : Theorem 56.06s 56.24s
% Output : Refutation 56.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET055+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 01:52:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 56.06/56.24 GeoParameters:
% 56.06/56.24
% 56.06/56.24 tptp_input = 1
% 56.06/56.24 tptp_output = 0
% 56.06/56.24 nonempty = 1
% 56.06/56.24 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.06/56.24 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 56.06/56.24
% 56.06/56.24
% 56.06/56.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.06/56.24 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.06/56.24
% 56.06/56.24 RuleSystem INPUT:
% 56.06/56.24
% 56.06/56.24 Initial Rules:
% 56.06/56.24 #0: input, references = 3, size of lhs = 1:
% 56.06/56.24 subclass-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1: input, references = 5, size of lhs = 1:
% 56.06/56.24 pppp0-{F}(V0,V1) | subclass-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2: input, references = 11, size of lhs = 2:
% 56.06/56.24 pppp0-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #3: input, references = 5, size of lhs = 2:
% 56.06/56.24 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp27-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #4: input, references = 15, size of lhs = 1:
% 56.06/56.24 pppp27-{F}(V0,V1) | EXISTS V2: pppp19-{T}(V0,V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #5: input, references = 6, size of lhs = 2:
% 56.06/56.24 pppp19-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #6: input, references = 15, size of lhs = 1:
% 56.06/56.24 pppp19-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #7: input, references = 4, size of lhs = 2:
% 56.06/56.24 P_universal_class-{F}(V0), #-{F} V1 | subclass-{T}(V1,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #8: input, references = 3, size of lhs = 2:
% 56.06/56.24 P_universal_class-{F}(V0), #-{F} V2 | pppp1-{T}(V2,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #9: input, references = 5, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), pppp1-{F}(V1,V2), V1 == V2 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #10: input, references = 3, size of lhs = 2:
% 56.06/56.24 P_universal_class-{F}(V0), pppp1-{F}(V1,V2) | subclass-{T}(V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #11: input, references = 3, size of lhs = 2:
% 56.06/56.24 P_universal_class-{F}(V0), pppp1-{F}(V1,V2) | subclass-{T}(V2,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #12: input, references = 5, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), subclass-{F}(V1,V2), subclass-{F}(V2,V1) | pppp1-{T}(V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #13: input, references = 12, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), member-{F}(V1,V4) | pppp2-{T}(V2,V3,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #14: input, references = 19, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), pppp2-{F}(V2,V3,V1) | member-{T}(V1,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #15: input, references = 3, size of lhs = 2:
% 56.06/56.24 P_universal_class-{F}(V0), pppp2-{F}(V1,V2,V3) | member-{T}(V3,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #16: input, references = 12, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), pppp2-{F}(V1,V2,V3), V3 == V1, V3 == V2 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #17: input, references = 35, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), #-{F} V2, member-{F}(V1,V0) | pppp2-{T}(V1,V2,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #18: input, references = 4, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), #-{F} V1, member-{F}(V2,V0) | pppp2-{T}(V1,V2,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #19: input, references = 36, size of lhs = 2:
% 56.06/56.24 P_universal_class-{F}(V0), P_unordered_pair-{F}(V1,V2,V3) | member-{T}(V3,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #20: input, references = 4, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V1,V3), V2 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #21: input, references = 8, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), P_singleton-{F}(V1,V4), P_singleton-{F}(V2,V5), P_unordered_pair-{F}(V1,V5,V6), P_unordered_pair-{F}(V4,V6,V7), V3 == V7 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #22: input, references = 7, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_ordered_pair-{F}(V1,V2,V5), P_cross_product-{F}(V3,V4,V6), member-{F}(V5,V6) | pppp3-{T}(V3,V4,V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #23: input, references = 11, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_ordered_pair-{F}(V1,V2,V5), P_cross_product-{F}(V3,V4,V6), pppp3-{F}(V3,V4,V1,V2) | member-{T}(V5,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #24: input, references = 4, size of lhs = 2:
% 56.06/56.24 P_universal_class-{F}(V0), pppp3-{F}(V1,V2,V3,V4) | member-{T}(V3,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #25: input, references = 6, size of lhs = 2:
% 56.06/56.24 P_universal_class-{F}(V0), pppp3-{F}(V1,V2,V3,V4) | member-{T}(V4,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #26: input, references = 3, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V3,V1), member-{F}(V4,V2) | pppp3-{T}(V1,V2,V3,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #27: input, references = 6, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), P_ordered_pair-{F}(V2,V1,V3), P_first-{F}(V3,V4), P_second-{F}(V3,V5), member-{F}(V2,V0), V4 == V2 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #28: input, references = 10, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), P_ordered_pair-{F}(V2,V1,V3), P_first-{F}(V3,V4), P_second-{F}(V3,V5), member-{F}(V2,V0), V5 == V1 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #29: input, references = 5, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_first-{F}(V1,V2), P_second-{F}(V1,V3), P_ordered_pair-{F}(V2,V3,V4), P_cross_product-{F}(V6,V5,V7), member-{F}(V1,V7), V1 == V4 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #30: input, references = 6, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_ordered_pair-{F}(V2,V3,V4), member-{F}(V4,V1) | pppp4-{T}(V2,V3)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #31: input, references = 11, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_ordered_pair-{F}(V2,V3,V4), pppp4-{F}(V2,V3) | member-{T}(V4,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #32: input, references = 3, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), pppp4-{F}(V2,V3) | member-{T}(V3,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #33: input, references = 6, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), pppp4-{F}(V2,V3) | member-{T}(V2,V3)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #34: input, references = 14, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), member-{F}(V3,V0), member-{F}(V2,V3) | pppp4-{T}(V2,V3)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #35: input, references = 4, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2) | subclass-{T}(V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #36: input, references = 7, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_intersection-{F}(V3,V4,V6), member-{F}(V5,V6) | pppp5-{T}(V3,V4,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #37: input, references = 8, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_intersection-{F}(V3,V4,V6), pppp5-{F}(V3,V4,V5) | member-{T}(V5,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #38: input, references = 6, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), pppp5-{F}(V3,V4,V5) | member-{T}(V5,V3)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #39: input, references = 4, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), pppp5-{F}(V3,V4,V5) | member-{T}(V5,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #40: input, references = 8, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), member-{F}(V5,V3), member-{F}(V5,V4) | pppp5-{T}(V3,V4,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #41: input, references = 4, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_complement-{F}(V3,V5), member-{F}(V4,V5) | pppp6-{T}(V3,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #42: input, references = 3, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_complement-{F}(V3,V5), pppp6-{F}(V3,V4) | member-{T}(V4,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #43: input, references = 3, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), pppp6-{F}(V3,V4) | member-{T}(V4,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #44: input, references = 4, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), pppp6-{F}(V3,V4), member-{F}(V4,V3) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #45: input, references = 3, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), #-{F} V3, member-{F}(V4,V0) | pppp6-{T}(V3,V4), member-{T}(V4,V3)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #46: input, references = 6, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_restrict-{F}(V4,V3,V5,V6), P_cross_product-{F}(V3,V5,V7), P_intersection-{F}(V4,V7,V8), V6 == V8 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #47: input, references = 6, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), member-{F}(V4,V3) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #48: input, references = 3, size of lhs = 6:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_domain_of-{F}(V4,V6), member-{F}(V5,V6) | pppp7-{T}(V4,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #49: input, references = 6, size of lhs = 6:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_domain_of-{F}(V4,V6), pppp7-{F}(V4,V5) | member-{T}(V5,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #50: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_singleton-{F}(V5,V6), P_restrict-{F}(V4,V6,V0,V7), pppp7-{F}(V4,V5) | member-{T}(V5,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #51: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_singleton-{F}(V5,V6), P_restrict-{F}(V4,V6,V0,V3), pppp7-{F}(V4,V5) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #52: input, references = 6, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_singleton-{F}(V5,V6), P_restrict-{F}(V4,V6,V0,V7), member-{F}(V5,V0), V7 == V3 | pppp7-{T}(V4,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #53: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_ordered_pair-{F}(V5,V6,V8), P_ordered_pair-{F}(V8,V7,V9), P_rotate-{F}(V4,V10), member-{F}(V9,V10) | pppp8-{T}(V4,V5,V6,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #54: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_ordered_pair-{F}(V5,V6,V8), P_ordered_pair-{F}(V8,V7,V9), P_rotate-{F}(V4,V10), pppp8-{F}(V4,V5,V6,V7) | member-{T}(V9,V10)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #55: input, references = 3, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_ordered_pair-{F}(V6,V7,V9), P_ordered_pair-{F}(V9,V8,V10), P_ordered_pair-{F}(V7,V8,V11), P_ordered_pair-{F}(V11,V6,V12), pppp8-{F}(V5,V6,V7,V8) | member-{T}(V10,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #56: input, references = 3, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_ordered_pair-{F}(V6,V7,V9), P_ordered_pair-{F}(V9,V8,V10), P_ordered_pair-{F}(V7,V8,V11), P_ordered_pair-{F}(V11,V6,V12), pppp8-{F}(V5,V6,V7,V8) | member-{T}(V12,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #57: input, references = 3, size of lhs = 11:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_ordered_pair-{F}(V6,V7,V9), P_ordered_pair-{F}(V9,V8,V10), P_ordered_pair-{F}(V7,V8,V11), P_ordered_pair-{F}(V11,V6,V12), member-{F}(V10,V4), member-{F}(V12,V5) | pppp8-{T}(V5,V6,V7,V8)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #58: input, references = 3, size of lhs = 6:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_rotate-{F}(V5,V6) | subclass-{T}(V6,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #59: input, references = 3, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_ordered_pair-{F}(V5,V6,V9), P_ordered_pair-{F}(V9,V7,V10), P_flip-{F}(V8,V11), member-{F}(V10,V11) | pppp9-{T}(V8,V5,V6,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #60: input, references = 3, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_ordered_pair-{F}(V5,V6,V9), P_ordered_pair-{F}(V9,V7,V10), P_flip-{F}(V8,V11), pppp9-{F}(V8,V5,V6,V7) | member-{T}(V10,V11)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #61: input, references = 3, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_ordered_pair-{F}(V6,V7,V9), P_ordered_pair-{F}(V9,V8,V10), P_ordered_pair-{F}(V7,V6,V11), P_ordered_pair-{F}(V11,V8,V12), pppp9-{F}(V5,V6,V7,V8) | member-{T}(V10,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #62: input, references = 3, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_ordered_pair-{F}(V6,V7,V9), P_ordered_pair-{F}(V9,V8,V10), P_ordered_pair-{F}(V7,V6,V11), P_ordered_pair-{F}(V11,V8,V12), pppp9-{F}(V5,V6,V7,V8) | member-{T}(V12,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #63: input, references = 3, size of lhs = 11:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_ordered_pair-{F}(V6,V7,V9), P_ordered_pair-{F}(V9,V8,V10), P_ordered_pair-{F}(V7,V6,V11), P_ordered_pair-{F}(V11,V8,V12), member-{F}(V10,V4), member-{F}(V12,V5) | pppp9-{T}(V5,V6,V7,V8)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #64: input, references = 3, size of lhs = 6:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_flip-{F}(V5,V6) | subclass-{T}(V6,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #65: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_union-{F}(V5,V6,V8), member-{F}(V7,V8) | pppp10-{T}(V5,V6,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #66: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_union-{F}(V5,V6,V8), pppp10-{F}(V5,V6,V7) | member-{T}(V7,V8)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #67: input, references = 3, size of lhs = 6:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), pppp10-{F}(V5,V6,V7) | member-{T}(V7,V5), member-{T}(V7,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #68: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), #-{F} V6, member-{F}(V7,V5) | pppp10-{T}(V5,V6,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #69: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), #-{F} V5, member-{F}(V7,V6) | pppp10-{T}(V5,V6,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #70: input, references = 3, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor-{F}(V5,V6), P_singleton-{F}(V5,V7), P_union-{F}(V5,V7,V8), V6 == V8 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #71: input, references = 3, size of lhs = 6:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5) | subclass-{T}(V5,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #72: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_ordered_pair-{F}(V6,V7,V8), member-{F}(V8,V5) | pppp11-{T}(V6,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #73: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_ordered_pair-{F}(V6,V7,V8), pppp11-{F}(V6,V7) | member-{T}(V8,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #74: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_successor-{F}(V6,V8), pppp11-{F}(V6,V7) | member-{T}(V6,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #75: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_successor-{F}(V6,V8), pppp11-{F}(V6,V7) | member-{T}(V7,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #76: input, references = 3, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_successor-{F}(V6,V8), pppp11-{F}(V6,V7), V8 == V7 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #77: input, references = 3, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_successor-{F}(V6,V7), member-{F}(V6,V0), member-{F}(V7,V0) | pppp11-{T}(V6,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #78: input, references = 4, size of lhs = 11:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_inverse-{F}(V6,V7), P_cross_product-{F}(V6,V0,V8), P_flip-{F}(V8,V9), P_domain_of-{F}(V9,V10), V7 == V10 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #79: input, references = 4, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_range_of-{F}(V6,V7), P_inverse-{F}(V6,V8), P_domain_of-{F}(V8,V9), V7 == V9 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #80: input, references = 4, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_image-{F}(V7,V6,V8), P_restrict-{F}(V7,V6,V0,V9), P_range_of-{F}(V9,V10), V8 == V10 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #81: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), inductive-{F}(V6) | pppp12-{T}(V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #82: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), pppp12-{F}(V6) | inductive-{T}(V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #83: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_image-{F}(V5,V6,V7), pppp12-{F}(V6) | member-{T}(V3,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #84: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_image-{F}(V5,V6,V7), pppp12-{F}(V6) | subclass-{T}(V7,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #85: input, references = 3, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_image-{F}(V5,V6,V7), member-{F}(V3,V6), subclass-{F}(V7,V6) | pppp12-{T}(V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #86: input, references = 3, size of lhs = 6:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5) | EXISTS V6: pppp20-{T}(V6,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #87: input, references = 3, size of lhs = 2:
% 56.06/56.24 pppp20-{F}(V0,V1), inductive-{F}(V2) | subclass-{T}(V0,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #88: input, references = 3, size of lhs = 1:
% 56.06/56.24 pppp20-{F}(V0,V1) | inductive-{T}(V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #89: input, references = 3, size of lhs = 1:
% 56.06/56.24 pppp20-{F}(V0,V1) | member-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #90: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_sum_class-{F}(V7,V8), member-{F}(V6,V8) | pppp13-{T}(V7,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #91: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_sum_class-{F}(V7,V8), pppp13-{F}(V7,V6) | member-{T}(V6,V8)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #92: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), pppp13-{F}(V6,V7) | EXISTS V8: pppp21-{T}(V6,V8,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #93: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), member-{F}(V7,V8), member-{F}(V8,V6) | pppp13-{T}(V6,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #94: input, references = 3, size of lhs = 1:
% 56.06/56.24 pppp21-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #95: input, references = 3, size of lhs = 1:
% 56.06/56.24 pppp21-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #96: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_sum_class-{F}(V6,V7), member-{F}(V6,V0) | member-{T}(V7,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #97: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_power_class-{F}(V7,V8), member-{F}(V6,V8) | pppp14-{T}(V7,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #98: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_power_class-{F}(V7,V8), pppp14-{F}(V7,V6) | member-{T}(V6,V8)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #99: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), pppp14-{F}(V6,V7) | member-{T}(V7,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #100: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), pppp14-{F}(V6,V7) | subclass-{T}(V7,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #101: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), member-{F}(V7,V0), subclass-{F}(V7,V6) | pppp14-{T}(V6,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #102: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_power_class-{F}(V6,V7), member-{F}(V6,V0) | member-{T}(V7,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #103: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_compose-{F}(V7,V6,V8) | subclass-{T}(V8,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #104: input, references = 3, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_ordered_pair-{F}(V8,V9,V10), P_compose-{F}(V7,V6,V11), member-{F}(V10,V11) | pppp15-{T}(V8,V9,V6,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #105: input, references = 3, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_ordered_pair-{F}(V8,V9,V10), P_compose-{F}(V7,V6,V11), pppp15-{F}(V8,V9,V6,V7) | member-{T}(V10,V11)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #106: input, references = 3, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_singleton-{F}(V6,V10), P_image-{F}(V8,V10,V11), P_image-{F}(V9,V11,V12), pppp15-{F}(V6,V7,V8,V9) | member-{T}(V6,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #107: input, references = 3, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_singleton-{F}(V6,V10), P_image-{F}(V8,V10,V11), P_image-{F}(V9,V11,V12), pppp15-{F}(V6,V7,V8,V9) | member-{T}(V7,V12)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #108: input, references = 3, size of lhs = 11:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_singleton-{F}(V6,V10), P_image-{F}(V8,V10,V11), P_image-{F}(V9,V11,V12), member-{F}(V6,V0), member-{F}(V7,V12) | pppp15-{T}(V6,V7,V8,V9)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #109: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), member-{F}(V7,V6) | pppp16-{T}(V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #110: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), pppp16-{F}(V7) | member-{T}(V7,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #111: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), pppp16-{F}(V7) | EXISTS V8: pppp22-{T}(V8,V7,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #112: input, references = 3, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), P_ordered_pair-{F}(V8,V8,V9), member-{F}(V8,V0) | pppp16-{T}(V9)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #113: input, references = 3, size of lhs = 3:
% 56.06/56.24 pppp22-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #114: input, references = 3, size of lhs = 2:
% 56.06/56.24 pppp22-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V0,V3) | member-{T}(V0,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #115: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), function-{F}(V7) | pppp17-{T}(V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #116: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), pppp17-{F}(V7) | function-{T}(V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #117: input, references = 3, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), P_inverse-{F}(V7,V8), P_compose-{F}(V7,V8,V9), pppp17-{F}(V7) | subclass-{T}(V7,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #118: input, references = 3, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), P_inverse-{F}(V7,V8), P_compose-{F}(V7,V8,V9), pppp17-{F}(V7) | subclass-{T}(V9,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #119: input, references = 3, size of lhs = 11:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), P_inverse-{F}(V7,V8), P_compose-{F}(V7,V8,V9), subclass-{F}(V7,V2), subclass-{F}(V9,V6) | pppp17-{T}(V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #120: input, references = 3, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), function-{F}(V7), P_image-{F}(V7,V8,V9), member-{F}(V8,V0) | member-{T}(V9,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #121: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), disjoint-{F}(V7,V8) | pppp18-{T}(V7,V8)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #122: input, references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), pppp18-{F}(V7,V8) | disjoint-{T}(V7,V8)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #123: input, references = 3, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), pppp18-{F}(V7,V8), member-{F}(V9,V7), member-{F}(V9,V8) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #124: input, references = 3, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), #-{F} V7, #-{F} V8 | pppp18-{T}(V7,V8), pppp28-{T}(V7,V8)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #125: input, references = 3, size of lhs = 1:
% 56.06/56.24 pppp28-{F}(V0,V1) | EXISTS V2: pppp23-{T}(V0,V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #126: input, references = 3, size of lhs = 1:
% 56.06/56.24 pppp23-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #127: input, references = 3, size of lhs = 1:
% 56.06/56.24 pppp23-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #128: input, references = 3, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), #-{F} V7, V7 == V3 | EXISTS V8: pppp24-{T}(V7,V8,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #129: input, references = 3, size of lhs = 1:
% 56.06/56.24 pppp24-{F}(V0,V1,V2) | disjoint-{T}(V1,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #130: input, references = 3, size of lhs = 1:
% 56.06/56.24 pppp24-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #131: input, references = 3, size of lhs = 1:
% 56.06/56.24 pppp24-{F}(V0,V1,V2) | member-{T}(V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #132: input, references = 3, size of lhs = 12:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6), P_apply-{F}(V7,V8,V9), P_singleton-{F}(V8,V10), P_image-{F}(V7,V10,V11), P_sum_class-{F}(V11,V12), V9 == V12 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #133: input, references = 3, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6) | EXISTS V7: pppp25-{T}(V7,V0,V3)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #134: input, references = 3, size of lhs = 4:
% 56.06/56.24 pppp25-{F}(V0,V1,V2), P_apply-{F}(V0,V3,V4), member-{F}(V3,V1), V3 == V2 | member-{T}(V4,V3)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #135: input, references = 3, size of lhs = 1:
% 56.06/56.24 pppp25-{F}(V0,V1,V2) | function-{T}(V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #136: input, references = 4, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6) | EXISTS V7: pppp26-{T}(V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #137: input, references = 4, size of lhs = 1:
% 56.06/56.24 pppp26-{F}(V0) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #138: input, references = 4, size of lhs = 0:
% 56.06/56.24 FALSE | EXISTS V0: P_universal_class-{T}(V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #139: input, references = 16, size of lhs = 2:
% 56.06/56.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #140: input, references = 19, size of lhs = 1:
% 56.06/56.24 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #141: input, references = 19, size of lhs = 2:
% 56.06/56.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #142: input, references = 17, size of lhs = 2:
% 56.06/56.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #143: input, references = 7, size of lhs = 1:
% 56.06/56.24 #-{F} V0 | EXISTS V1: P_first-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #144: input, references = 6, size of lhs = 1:
% 56.06/56.24 #-{F} V0 | EXISTS V1: P_second-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #145: input, references = 4, size of lhs = 0:
% 56.06/56.24 FALSE | EXISTS V0: P_element_relation-{T}(V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #146: input, references = 5, size of lhs = 2:
% 56.06/56.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #147: input, references = 3, size of lhs = 1:
% 56.06/56.24 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #148: input, references = 6, size of lhs = 3:
% 56.06/56.24 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_restrict-{T}(V0,V1,V2,V3)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #149: input, references = 4, size of lhs = 0:
% 56.06/56.24 FALSE | EXISTS V0: P_null_class-{T}(V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #150: input, references = 3, size of lhs = 1:
% 56.06/56.24 #-{F} V0 | EXISTS V1: P_domain_of-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #151: input, references = 3, size of lhs = 1:
% 56.06/56.24 #-{F} V0 | EXISTS V1: P_rotate-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #152: input, references = 3, size of lhs = 1:
% 56.06/56.24 #-{F} V0 | EXISTS V1: P_flip-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #153: input, references = 3, size of lhs = 2:
% 56.06/56.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #154: input, references = 3, size of lhs = 1:
% 56.06/56.24 #-{F} V0 | EXISTS V1: P_successor-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #155: input, references = 4, size of lhs = 0:
% 56.06/56.24 FALSE | EXISTS V0: P_successor_relation-{T}(V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #156: input, references = 4, size of lhs = 1:
% 56.06/56.24 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #157: input, references = 4, size of lhs = 1:
% 56.06/56.24 #-{F} V0 | EXISTS V1: P_range_of-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #158: input, references = 4, size of lhs = 2:
% 56.06/56.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_image-{T}(V0,V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #159: input, references = 3, size of lhs = 1:
% 56.06/56.24 #-{F} V0 | EXISTS V1: P_sum_class-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #160: input, references = 3, size of lhs = 1:
% 56.06/56.24 #-{F} V0 | EXISTS V1: P_power_class-{T}(V0,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #161: input, references = 3, size of lhs = 2:
% 56.06/56.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #162: input, references = 4, size of lhs = 0:
% 56.06/56.24 FALSE | EXISTS V0: P_identity_relation-{T}(V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #163: input, references = 3, size of lhs = 2:
% 56.06/56.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 number of initial rules = 164
% 56.06/56.24
% 56.06/56.24 Simplifiers:
% 56.06/56.24 #164: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), P_universal_class-{F}(V1), V0 == V1 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #165: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #166: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #167: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #168: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #169: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_first-{F}(V0,V1), P_first-{F}(V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #170: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_second-{F}(V0,V1), P_second-{F}(V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #171: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_element_relation-{F}(V0), P_element_relation-{F}(V1), V0 == V1 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #172: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #173: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #174: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_restrict-{F}(V0,V1,V2,V3), P_restrict-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #175: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_null_class-{F}(V0), P_null_class-{F}(V1), V0 == V1 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #176: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_domain_of-{F}(V0,V1), P_domain_of-{F}(V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #177: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_rotate-{F}(V0,V1), P_rotate-{F}(V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #178: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_flip-{F}(V0,V1), P_flip-{F}(V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #179: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #180: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_successor-{F}(V0,V1), P_successor-{F}(V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #181: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_successor_relation-{F}(V0), P_successor_relation-{F}(V1), V0 == V1 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #182: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #183: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_range_of-{F}(V0,V1), P_range_of-{F}(V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #184: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_image-{F}(V0,V1,V2), P_image-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #185: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_sum_class-{F}(V0,V1), P_sum_class-{F}(V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #186: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_power_class-{F}(V0,V1), P_power_class-{F}(V0,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #187: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #188: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_identity_relation-{F}(V0), P_identity_relation-{F}(V1), V0 == V1 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #189: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #190: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #191: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #192: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp20-{F}(V0,V1), pppp20-{F}(V2,V3), V1 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #193: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V4,V2), V1 == V4 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #194: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V1,V2), V0 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #195: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V4,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #196: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp23-{F}(V0,V1,V2), pppp23-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #197: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V4,V2), V1 == V4 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #198: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp24-{F}(V0,V1,V2), pppp24-{F}(V3,V4,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #199: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V1,V2), V0 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #200: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V4,V5), V1 == V4 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #201: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V4,V5), V2 == V5 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #202: unsound, references = 3, size of lhs = 3:
% 56.06/56.24 pppp26-{F}(V0), pppp26-{F}(V1), V0 == V1 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 number of simplifiers = 39
% 56.06/56.24
% 56.06/56.24 Learnt:
% 56.06/56.24 #204: exists( #141, #21 ), references = 2, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V4), P_unordered_pair-{F}(V1,V4,V5), P_unordered_pair-{F}(V2,V5,V6) | P_ordered_pair-{T}(V1,V3,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #208: exists( #139, #20 ), references = 19, size of lhs = 2:
% 56.06/56.24 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2) | P_unordered_pair-{T}(V1,V1,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #210: exists( #144, #27 ), references = 6, size of lhs = 6:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), member-{F}(V2,V0), P_ordered_pair-{F}(V2,V1,V3), P_first-{F}(V3,V4), V4 == V2 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #212: exists( #143, #209 ), references = 3, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), member-{F}(V2,V0), P_ordered_pair-{F}(V2,V1,V3) | P_first-{T}(V3,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #215: mergings( V5 == V4; #213 ), references = 1, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), member-{F}(V2,V0), P_ordered_pair-{F}(V2,V1,V3), P_first-{F}(V3,V2) | P_second-{T}(V3,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #225: mergings( V2 == V3; #222 ), references = 2, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), subclass-{F}(V1,V2), V1 == V2 | pppp27-{T}(V2,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #227: mergings( V2 == V3; #223 ), references = 2, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V5), V1 == V3, V1 == V4 | pppp27-{T}(V2,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #234: exists( #142, #47 ), references = 6, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), member-{F}(V3,V2) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #266: mergings( V2 == V0, V0 == V3, V3 == V4; #262 ), references = 1, size of lhs = 2:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V0) | P_cross_product-{T}(V0,V0,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #292: exists( #156, #78 ), references = 1, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_cross_product-{F}(V6,V0,V7), P_flip-{F}(V7,V8), P_domain_of-{F}(V8,V9) | P_inverse-{T}(V6,V9)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #294: exists( #157, #79 ), references = 1, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_inverse-{F}(V6,V7), P_domain_of-{F}(V7,V8) | P_range_of-{T}(V6,V8)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #302: exists( #146, #46 ), references = 3, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_cross_product-{F}(V3,V4,V5), P_restrict-{F}(V6,V3,V4,V7) | P_intersection-{T}(V6,V5,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #367: exists( #148, #46 ), references = 1, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_cross_product-{F}(V3,V4,V5), P_intersection-{F}(V6,V5,V7) | P_restrict-{T}(V6,V3,V4,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #412: exists( #158, #80 ), references = 1, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_range_of-{F}(V6,V7), P_restrict-{F}(V8,V9,V0,V6) | P_image-{T}(V8,V9,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #484: exists( #136, #137 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5), P_identity_relation-{F}(V6) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #486: exists( #162, #483 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4), P_successor_relation-{F}(V5) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #488: exists( #155, #485 ), references = 1, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_null_class-{F}(V3), P_cross_product-{F}(V2,V0,V4) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #490: exists( #149, #487 ), references = 2, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_cross_product-{F}(V2,V0,V3) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #500: exists( #142, #46 ), references = 2, size of lhs = 6:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V2,V3,V4), P_restrict-{F}(V5,V2,V3,V6), P_intersection-{F}(V5,V4,V7), V6 == V7 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #502: exists( #148, #499 ), references = 1, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V2,V3,V4), P_intersection-{F}(V5,V4,V6) | P_restrict-{T}(V5,V2,V3,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #509: mergings( V2 == V3; #507 ), references = 9, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), member-{F}(V2,V3), member-{F}(V2,V4), P_complement-{F}(V4,V3) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #562: mergings( V3 == V4, V4 == V5; #559 ), references = 1, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_cross_product-{F}(V1,V2,V3), pppp3-{F}(V1,V2,V4,V5), P_unordered_pair-{F}(V6,V7,V3) | P_ordered_pair-{T}(V4,V5,V6), P_ordered_pair-{T}(V4,V5,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #569: mergings( V0 == V1, V1 == V2, V2 == V10; #563 ), references = 3, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), member-{F}(V2,V0), pppp3-{F}(V3,V4,V1,V2), P_cross_product-{F}(V3,V4,V5), P_unordered_pair-{F}(V6,V7,V5), P_first-{F}(V6,V8), V8 == V1 | P_ordered_pair-{T}(V1,V2,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #573: mergings( V0 == V1, V1 == V2, V2 == V10; #564 ), references = 1, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), member-{F}(V2,V0), pppp3-{F}(V3,V4,V1,V2), P_cross_product-{F}(V3,V4,V5), P_unordered_pair-{F}(V6,V7,V5), P_first-{F}(V6,V8), V8 == V1, P_second-{F}(V6,V9) | P_ordered_pair-{T}(V1,V2,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #577: mergings( V0 == V1, V1 == V2, V2 == V10; #565 ), references = 1, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), member-{F}(V2,V0), pppp3-{F}(V3,V4,V1,V2), P_cross_product-{F}(V3,V4,V5), P_unordered_pair-{F}(V6,V7,V5), P_first-{F}(V6,V8), P_second-{F}(V6,V9), V9 == V2 | P_ordered_pair-{T}(V1,V2,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #700: mergings( V3 == V4, V4 == V7, V7 == V10, V6 == V9, V5 == V8, V8 == V11; #693 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_element_relation-{F}(V2), P_complement-{F}(V3,V3), P_intersection-{F}(V3,V4,V5), P_cross_product-{F}(V6,V7,V5), pppp3-{F}(V6,V7,V8,V9) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #765: mergings( V3 == V4, V4 == V7, V7 == V10, V6 == V9, V5 == V8, V8 == V11; #758 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_element_relation-{F}(V2), P_complement-{F}(V3,V3), P_intersection-{F}(V4,V3,V5), P_cross_product-{F}(V6,V7,V5), pppp3-{F}(V6,V7,V8,V9) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #845: mergings( V3 == V4, V4 == V7, V7 == V10, V10 == V11, V6 == V9, V5 == V8; #838 ), references = 1, size of lhs = 8:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), pppp0-{F}(V3,V4), P_intersection-{F}(V4,V3,V5), P_cross_product-{F}(V6,V7,V3), pppp3-{F}(V6,V7,V8,V9), P_unordered_pair-{F}(V10,V11,V5) | P_ordered_pair-{T}(V8,V9,V10), P_ordered_pair-{T}(V8,V9,V11)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #856: mergings( V0 == V1, V1 == V4, V4 == V7, V7 == V8, V8 == V18, V3 == V6, V2 == V5; #846 ), references = 4, size of lhs = 12:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), member-{F}(V3,V1), member-{F}(V4,V1), pppp3-{F}(V5,V6,V3,V4), P_cross_product-{F}(V5,V6,V7), pppp0-{F}(V7,V8), P_intersection-{F}(V8,V7,V9), P_unordered_pair-{F}(V10,V11,V9), P_first-{F}(V10,V12), V12 == V3 | P_ordered_pair-{T}(V3,V4,V11)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #864: mergings( V0 == V1, V1 == V4, V4 == V7, V7 == V8, V8 == V18, V3 == V6, V2 == V5; #847 ), references = 1, size of lhs = 13:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), member-{F}(V3,V1), member-{F}(V4,V1), pppp3-{F}(V5,V6,V3,V4), P_cross_product-{F}(V5,V6,V7), pppp0-{F}(V7,V8), P_intersection-{F}(V8,V7,V9), P_unordered_pair-{F}(V10,V11,V9), P_first-{F}(V10,V12), V12 == V3, P_second-{F}(V10,V13) | P_ordered_pair-{T}(V3,V4,V11)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #872: mergings( V0 == V1, V1 == V4, V4 == V7, V7 == V8, V8 == V18, V3 == V6, V2 == V5; #848 ), references = 4, size of lhs = 13:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), member-{F}(V3,V1), member-{F}(V4,V1), pppp3-{F}(V5,V6,V3,V4), P_cross_product-{F}(V5,V6,V7), pppp0-{F}(V7,V8), P_intersection-{F}(V8,V7,V9), P_unordered_pair-{F}(V10,V11,V9), P_first-{F}(V10,V12), P_second-{F}(V10,V13), V13 == V4 | P_ordered_pair-{T}(V3,V4,V11)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #914: mergings( V3 == V4, V4 == V7, V7 == V10, V6 == V9, V5 == V8, V8 == V11; #907 ), references = 1, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_element_relation-{F}(V2), P_complement-{F}(V3,V3), pppp0-{F}(V4,V5), P_intersection-{F}(V5,V4,V3), P_cross_product-{F}(V6,V7,V4), pppp3-{F}(V6,V7,V8,V9) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1191: mergings( V3 == V5, V4 == V6; #1186 ), references = 2, size of lhs = 4:
% 56.06/56.24 P_null_class-{F}(V0), P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp4-{F}(V2,V3) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1194: mergings( V3 == V5, V4 == V6; #1188 ), references = 1, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_complement-{F}(V1,V1), pppp4-{F}(V2,V3) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1213: mergings( V2 == V3, V3 == V4, V4 == V7, V5 == V6; #1208 ), references = 1, size of lhs = 4:
% 56.06/56.24 P_null_class-{F}(V0), P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp2-{F}(V2,V2,V3) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1224: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V7 == V8; #1217 ), references = 1, size of lhs = 3:
% 56.06/56.24 P_null_class-{F}(V0), P_element_relation-{F}(V0), P_universal_class-{F}(V1) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1230: mergings( V2 == V3, V3 == V4; #1227 ), references = 1, size of lhs = 3:
% 56.06/56.24 P_null_class-{F}(V0), P_universal_class-{F}(V0), P_element_relation-{F}(V1) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1281: mergings( V3 == V4, V4 == V5, V5 == V1; #1275 ), references = 6, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), P_ordered_pair-{F}(V1,V2,V3), P_first-{F}(V3,V4), P_second-{F}(V3,V5), V5 == V2, P_ordered_pair-{F}(V6,V2,V7), P_ordered_pair-{F}(V8,V9,V7), pppp3-{F}(V10,V0,V8,V9) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1298: mergings( V2 == V3; #1295 ), references = 3, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), member-{F}(V2,V3), P_intersection-{F}(V4,V5,V3), pppp19-{F}(V6,V4,V2) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1302: mergings( V0 == V4, V2 == V3, V3 == V5; #1296 ), references = 1, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_complement-{F}(V2,V2), P_intersection-{F}(V2,V3,V4), member-{F}(V5,V4) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1341: mergings( V2 == V3; #1339 ), references = 1, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V3,V2), P_singleton-{F}(V4,V3), P_ordered_pair-{F}(V1,V4,V5) | P_singleton-{T}(V2,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1393: exists( #139, #21 ), references = 11, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2), P_ordered_pair-{F}(V1,V3,V4), P_singleton-{F}(V3,V5), P_unordered_pair-{F}(V1,V5,V6) | P_unordered_pair-{T}(V2,V6,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1421: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1415 ), references = 1, size of lhs = 10:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), member-{F}(V3,V0), P_singleton-{F}(V4,V3), P_singleton-{F}(V5,V4), P_ordered_pair-{F}(V4,V6,V2), P_singleton-{F}(V6,V7), P_unordered_pair-{F}(V5,V8,V7), P_singleton-{F}(V9,V8) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1426: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1416 ), references = 1, size of lhs = 11:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), member-{F}(V2,V0), member-{F}(V2,V3), P_complement-{F}(V3,V4), P_singleton-{F}(V5,V2), P_singleton-{F}(V6,V5), P_ordered_pair-{F}(V5,V7,V4), P_singleton-{F}(V7,V8), P_unordered_pair-{F}(V6,V9,V8), P_singleton-{F}(V10,V9) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1604: mergings( V3 == V4, V4 == V5, V5 == V6; #1598 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), P_singleton-{F}(V3,V4), P_ordered_pair-{F}(V3,V5,V2), P_singleton-{F}(V5,V6) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1627: mergings( V3 == V5, V5 == V6; #1624 ), references = 1, size of lhs = 4:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp4-{F}(V2,V3), P_unordered_pair-{F}(V4,V5,V0) | P_ordered_pair-{T}(V2,V3,V4), P_ordered_pair-{T}(V2,V3,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1634: mergings( V0 == V2, V2 == V3, V3 == V8; #1628 ), references = 2, size of lhs = 8:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp4-{F}(V2,V3), member-{F}(V3,V1), P_unordered_pair-{F}(V4,V5,V0), P_first-{F}(V4,V6), V6 == V2 | P_ordered_pair-{T}(V2,V3,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1638: mergings( V0 == V2, V2 == V3, V3 == V8; #1629 ), references = 1, size of lhs = 9:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp4-{F}(V2,V3), member-{F}(V3,V1), P_unordered_pair-{F}(V4,V5,V0), P_first-{F}(V4,V6), V6 == V2, P_second-{F}(V4,V7) | P_ordered_pair-{T}(V2,V3,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1642: mergings( V0 == V2, V2 == V3, V3 == V8; #1630 ), references = 1, size of lhs = 9:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp4-{F}(V2,V3), member-{F}(V3,V1), P_unordered_pair-{F}(V4,V5,V0), P_first-{F}(V4,V6), P_second-{F}(V4,V7), V7 == V3 | P_ordered_pair-{T}(V2,V3,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1756: mergings( V2 == V3, V3 == V6, V4 == V5; #1750 ), references = 28, size of lhs = 9:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp2-{F}(V3,V3,V2), P_unordered_pair-{F}(V4,V5,V0), P_first-{F}(V4,V6), V6 == V2, P_first-{F}(V5,V7), V7 == V2 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1761: mergings( V2 == V3, V3 == V6, V4 == V5; #1757 ), references = 1, size of lhs = 5:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V2,V0), member-{F}(V3,V1), pppp2-{F}(V4,V4,V3) | P_first-{T}(V2,V3)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1765: exists( #4, #1763 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp27-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V0), P_first-{F}(V3,V5), P_first-{F}(V4,V6) | pppp19-{T}(V1,V2,V5), pppp19-{T}(V1,V2,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1771: mergings( V2 == V4; #1769 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6 | P_singleton-{T}(V6,V4), P_singleton-{T}(V6,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1779: exists( #4, #1777 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp27-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V0), P_first-{F}(V3,V5), P_first-{F}(V4,V6) | pppp19-{T}(V1,V2,V5), pppp19-{T}(V1,V2,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1783: exists( #139, #1781 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6, #-{F} V7 | P_unordered_pair-{T}(V6,V7,V4), P_unordered_pair-{T}(V6,V7,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1787: exists( #4, #1785 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp27-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V0), P_first-{F}(V3,V5), P_first-{F}(V4,V6) | pppp19-{T}(V1,V2,V5), pppp19-{T}(V1,V2,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1799: mergings( V2 == V4; #1797 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6 | P_singleton-{T}(V6,V4), P_singleton-{T}(V6,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1803: exists( #4, #1801 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp27-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V0), P_first-{F}(V3,V5), P_first-{F}(V4,V6) | pppp19-{T}(V1,V2,V5), pppp19-{T}(V1,V2,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1811: exists( #139, #1808 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6, #-{F} V7 | P_unordered_pair-{T}(V6,V7,V4), P_unordered_pair-{T}(V6,V7,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1815: exists( #4, #1813 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp27-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V0), P_first-{F}(V3,V5), P_first-{F}(V4,V6) | pppp19-{T}(V1,V2,V5), pppp19-{T}(V1,V2,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1827: mergings( V2 == V4; #1825 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6 | P_singleton-{T}(V6,V4), P_singleton-{T}(V6,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1831: exists( #4, #1829 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp27-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V0), P_first-{F}(V3,V5), P_first-{F}(V4,V6) | pppp19-{T}(V1,V2,V5), pppp19-{T}(V1,V2,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1843: mergings( V2 == V4; #1841 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6 | P_singleton-{T}(V6,V4), P_singleton-{T}(V6,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1848: exists( #4, #1846 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp27-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V0), P_first-{F}(V3,V5), P_first-{F}(V4,V6) | pppp19-{T}(V1,V2,V5), pppp19-{T}(V1,V2,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1858: mergings( V2 == V4; #1856 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6 | P_singleton-{T}(V6,V4), P_singleton-{T}(V6,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1866: exists( #139, #1863 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6, #-{F} V7 | P_unordered_pair-{T}(V6,V7,V4), P_unordered_pair-{T}(V6,V7,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1880: mergings( V2 == V4; #1878 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6 | P_singleton-{T}(V6,V4), P_singleton-{T}(V6,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1884: exists( #139, #1882 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6, #-{F} V7 | P_unordered_pair-{T}(V6,V7,V4), P_unordered_pair-{T}(V6,V7,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1887: exists( #4, #1885 ), references = 3, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), pppp27-{F}(V2,V3), P_intersection-{F}(V3,V4,V2) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1891: exists( #4, #1889 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp27-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V0), P_first-{F}(V3,V5), P_first-{F}(V4,V6) | pppp19-{T}(V1,V2,V5), pppp19-{T}(V1,V2,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1895: exists( #139, #1893 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6, #-{F} V7 | P_unordered_pair-{T}(V6,V7,V4), P_unordered_pair-{T}(V6,V7,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1901: mergings( V2 == V4; #1899 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6 | P_singleton-{T}(V6,V4), P_singleton-{T}(V6,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1905: exists( #4, #1903 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp27-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V0), P_first-{F}(V3,V5), P_first-{F}(V4,V6) | pppp19-{T}(V1,V2,V5), pppp19-{T}(V1,V2,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1916: exists( #139, #1913 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6, #-{F} V7 | P_unordered_pair-{T}(V6,V7,V4), P_unordered_pair-{T}(V6,V7,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1920: exists( #4, #1918 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp27-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V0), P_first-{F}(V3,V5), P_first-{F}(V4,V6) | pppp19-{T}(V1,V2,V5), pppp19-{T}(V1,V2,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1926: mergings( V2 == V4; #1924 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6 | P_singleton-{T}(V6,V4), P_singleton-{T}(V6,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1930: exists( #4, #1928 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp27-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V0), P_first-{F}(V3,V5), P_first-{F}(V4,V6) | pppp19-{T}(V1,V2,V5), pppp19-{T}(V1,V2,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1967: mergings( V2 == V4; #1965 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), #-{F} V6 | P_singleton-{T}(V6,V4), P_singleton-{T}(V6,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #1977: mergings( V0 == V2, V2 == V8, V8 == V9, V9 == V10, V10 == V11; #1971 ), references = 1, size of lhs = 9:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_unordered_pair-{F}(V2,V3,V0), P_first-{F}(V2,V4), P_first-{F}(V3,V5), pppp2-{F}(V6,V6,V7), P_unordered_pair-{F}(V8,V9,V4), V7 == V8, V7 == V9 | P_singleton-{T}(V6,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2008: mergings( V2 == V3, V3 == V4, V4 == V5; #2003 ), references = 2, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), member-{F}(V3,V4), member-{F}(V3,V5), P_cross_product-{F}(V6,V7,V5), P_restrict-{F}(V4,V6,V7,V2) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2013: mergings( V0 == V5, V2 == V3, V3 == V4, V4 == V6; #2004 ), references = 2, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), member-{F}(V2,V3), member-{F}(V2,V4), member-{F}(V2,V5), P_complement-{F}(V5,V6), P_cross_product-{F}(V7,V8,V4), P_restrict-{F}(V3,V7,V8,V6) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2039: mergings( V3 == V5, V5 == V6; #2035 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp0-{F}(V0,V2), pppp4-{F}(V3,V4), P_cross_product-{F}(V5,V6,V2), pppp19-{F}(V7,V6,V4) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2044: mergings( V3 == V5, V5 == V6, V6 == V7, V4 == V8; #2036 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), pppp0-{F}(V1,V2), pppp4-{F}(V3,V4), pppp19-{F}(V5,V6,V4), P_intersection-{F}(V6,V7,V8), P_cross_product-{F}(V9,V8,V2) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2059: exists( #146, #500 ), references = 1, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V2,V3,V4), P_restrict-{F}(V5,V2,V3,V6) | P_intersection-{T}(V5,V4,V6)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2086: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #2080 ), references = 1, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V4), P_unordered_pair-{F}(V1,V4,V5), P_cross_product-{F}(V6,V7,V0), P_unordered_pair-{F}(V8,V9,V6), V1 == V8, V1 == V9 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2093: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #2087 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V4), P_cross_product-{F}(V5,V6,V0), P_unordered_pair-{F}(V7,V8,V5), V1 == V7, V1 == V8 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2102: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V12; #2094 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V3,V4), P_cross_product-{F}(V4,V5,V0), #-{F} V6, V6 == V1, V6 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2103: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V13; #2094 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V3,V1,V4), P_cross_product-{F}(V4,V5,V0), #-{F} V6, V6 == V3, V6 == V1 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2153: mergings( V2 == V8, V8 == V12, V5 == V10, V4 == V9, V9 == V13, V6 == V11, V11 == V14; #2143 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), P_singleton-{F}(V1,V2), P_cross_product-{F}(V0,V0,V3), P_element_relation-{F}(V4), P_null_class-{F}(V5), P_domain_of-{F}(V6,V5) | P_restrict-{T}(V6,V2,V0,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2162: mergings( V2 == V8, V8 == V12, V5 == V10, V10 == V14, V4 == V9, V9 == V13, V6 == V11, V11 == V15; #2144 ), references = 1, size of lhs = 7:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), P_singleton-{F}(V1,V2), P_element_relation-{F}(V3), P_cross_product-{F}(V0,V0,V4), P_null_class-{F}(V5), P_domain_of-{F}(V6,V5) | P_restrict-{T}(V6,V2,V0,V5)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2169: mergings( V2 == V8, V8 == V12, V5 == V10, V4 == V9, V9 == V13, V6 == V11; #2145 ), references = 1, size of lhs = 9:
% 56.06/56.24 P_null_class-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_singleton-{F}(V2,V3), P_cross_product-{F}(V1,V1,V4), P_element_relation-{F}(V5), member-{F}(V2,V6), P_complement-{F}(V6,V7), P_domain_of-{F}(V8,V7) | P_restrict-{T}(V8,V3,V1,V0)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2181: mergings( V0 == V7, V7 == V10, V2 == V5, V5 == V8, V8 == V11, V6 == V9, V9 == V12; #2172 ), references = 2, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), P_singleton-{F}(V1,V2), P_element_relation-{F}(V3), P_null_class-{F}(V4), P_cross_product-{F}(V2,V0,V5), member-{F}(V6,V5), member-{F}(V6,V7), P_domain_of-{F}(V7,V4) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2189: mergings( V0 == V8, V8 == V11, V2 == V6, V6 == V9, V9 == V12, V3 == V7, V7 == V10; #2173 ), references = 2, size of lhs = 11:
% 56.06/56.24 P_null_class-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_singleton-{F}(V2,V3), P_element_relation-{F}(V4), P_cross_product-{F}(V3,V1,V5), member-{F}(V6,V5), member-{F}(V6,V7), P_domain_of-{F}(V7,V0), member-{F}(V6,V8), P_complement-{F}(V8,V0) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2195: mergings( V3 == V1; #2192 ), references = 1, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), P_singleton-{F}(V1,V2), P_element_relation-{F}(V3), P_null_class-{F}(V4), P_domain_of-{F}(V5,V4), member-{F}(V6,V5), pppp3-{F}(V2,V0,V7,V8), P_ordered_pair-{F}(V7,V8,V6) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2197: mergings( V3 == V1; #2193 ), references = 1, size of lhs = 11:
% 56.06/56.24 P_null_class-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_singleton-{F}(V2,V3), P_element_relation-{F}(V4), P_domain_of-{F}(V5,V0), member-{F}(V6,V5), member-{F}(V6,V7), P_complement-{F}(V7,V0), pppp3-{F}(V3,V1,V8,V9), P_ordered_pair-{F}(V8,V9,V6) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2235: mergings( V2 == V3; #2233 ), references = 1, size of lhs = 4:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_intersection-{F}(V2,V3,V4), V2 == V4 | pppp27-{T}(V2,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2255: mergings( V3 == V5, V5 == V6, V4 == V7; #2251 ), references = 1, size of lhs = 5:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), pppp4-{F}(V2,V3), P_intersection-{F}(V4,V5,V1), P_unordered_pair-{F}(V6,V7,V4) | P_ordered_pair-{T}(V2,V3,V6), P_ordered_pair-{T}(V2,V3,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2262: mergings( V0 == V2, V2 == V3, V3 == V11, V1 == V4; #2256 ), references = 10, size of lhs = 10:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp4-{F}(V2,V3), member-{F}(V3,V1), P_first-{F}(V4,V5), P_second-{F}(V4,V6), V6 == V3, P_unordered_pair-{F}(V4,V7,V8), P_intersection-{F}(V8,V9,V0) | P_ordered_pair-{T}(V2,V3,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2267: mergings( V0 == V2, V2 == V3, V3 == V11, V1 == V4; #2257 ), references = 1, size of lhs = 11:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp4-{F}(V2,V3), P_intersection-{F}(V4,V5,V0), P_unordered_pair-{F}(V6,V7,V4), P_first-{F}(V6,V8), P_second-{F}(V6,V9), V9 == V3, P_ordered_pair-{F}(V10,V11,V6), pppp3-{F}(V12,V1,V10,V11) | P_ordered_pair-{T}(V2,V3,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2293: mergings( V3 == V6, V4 == V5; #2289 ), references = 1, size of lhs = 10:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp2-{F}(V3,V4,V2), P_first-{F}(V5,V6), P_second-{F}(V5,V7), P_unordered_pair-{F}(V5,V8,V9), P_intersection-{F}(V9,V10,V0), P_first-{F}(V8,V11), P_second-{F}(V8,V12) | P_unordered_pair-{T}(V3,V4,V7), P_unordered_pair-{T}(V3,V4,V12)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2297: mergings( V3 == V6, V6 == V7, V4 == V5; #2290 ), references = 1, size of lhs = 12:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp2-{F}(V3,V4,V2), P_first-{F}(V5,V6), P_second-{F}(V5,V7), P_unordered_pair-{F}(V5,V8,V9), P_intersection-{F}(V9,V10,V0), P_first-{F}(V8,V11), P_second-{F}(V8,V12), P_ordered_pair-{F}(V13,V14,V8), pppp3-{F}(V15,V1,V13,V14) | P_unordered_pair-{T}(V3,V4,V7), P_unordered_pair-{T}(V3,V4,V12)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2335: mergings( V3 == V4, V4 == V7, V5 == V6; #2330 ), references = 1, size of lhs = 13:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_singleton-{F}(V3,V4), pppp2-{F}(V4,V5,V2), P_unordered_pair-{F}(V3,V6,V5), P_singleton-{F}(V7,V6), P_first-{F}(V8,V9), P_second-{F}(V8,V10), P_unordered_pair-{F}(V8,V11,V12), P_intersection-{F}(V12,V13,V0), P_first-{F}(V11,V14), P_second-{F}(V11,V15) | P_ordered_pair-{T}(V3,V7,V10), P_ordered_pair-{T}(V3,V7,V15)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2340: mergings( V3 == V4, V4 == V7, V7 == V8, V5 == V6; #2331 ), references = 1, size of lhs = 15:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_singleton-{F}(V3,V4), pppp2-{F}(V4,V5,V2), P_unordered_pair-{F}(V3,V6,V5), P_singleton-{F}(V7,V6), P_first-{F}(V8,V9), P_second-{F}(V8,V10), P_unordered_pair-{F}(V8,V11,V12), P_intersection-{F}(V12,V13,V0), P_first-{F}(V11,V14), P_second-{F}(V11,V15), P_ordered_pair-{F}(V16,V17,V11), pppp3-{F}(V18,V1,V16,V17) | P_ordered_pair-{T}(V3,V7,V10), P_ordered_pair-{T}(V3,V7,V15)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2352: mergings( V0 == V1, V1 == V4, V4 == V19, V19 == V20, V7 == V21, V9 == V22, V8 == V23, V2 == V3; #2343 ), references = 1, size of lhs = 15:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_singleton-{F}(V3,V4), pppp2-{F}(V4,V5,V2), pppp2-{F}(V4,V5,V6), P_unordered_pair-{F}(V3,V7,V5), P_singleton-{F}(V8,V7), P_first-{F}(V9,V10), P_second-{F}(V9,V11), pppp19-{F}(V12,V11,V6), P_unordered_pair-{F}(V9,V13,V14), P_intersection-{F}(V14,V15,V0), P_first-{F}(V13,V16), P_second-{F}(V13,V17) | P_ordered_pair-{T}(V3,V8,V17)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2372: mergings( V3 == V6, V4 == V5; #2368 ), references = 1, size of lhs = 10:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp2-{F}(V3,V4,V2), P_first-{F}(V5,V6), P_second-{F}(V5,V7), P_unordered_pair-{F}(V5,V8,V9), P_intersection-{F}(V9,V10,V0), P_first-{F}(V8,V11), P_second-{F}(V8,V12) | P_unordered_pair-{T}(V3,V4,V7), P_unordered_pair-{T}(V3,V4,V12)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2376: mergings( V3 == V6, V6 == V7, V4 == V5; #2369 ), references = 1, size of lhs = 12:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp2-{F}(V3,V4,V2), P_first-{F}(V5,V6), P_second-{F}(V5,V7), P_unordered_pair-{F}(V5,V8,V9), P_intersection-{F}(V9,V10,V0), P_first-{F}(V8,V11), P_second-{F}(V8,V12), P_ordered_pair-{F}(V13,V14,V8), pppp3-{F}(V15,V1,V13,V14) | P_unordered_pair-{T}(V3,V4,V7), P_unordered_pair-{T}(V3,V4,V12)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2401: mergings( V3 == V6, V4 == V5; #2397 ), references = 1, size of lhs = 10:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp2-{F}(V3,V4,V2), P_first-{F}(V5,V6), P_second-{F}(V5,V7), P_unordered_pair-{F}(V5,V8,V9), P_intersection-{F}(V9,V10,V0), P_first-{F}(V8,V11), P_second-{F}(V8,V12) | P_unordered_pair-{T}(V3,V4,V7), P_unordered_pair-{T}(V3,V4,V12)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2405: mergings( V3 == V6, V6 == V7, V4 == V5; #2398 ), references = 1, size of lhs = 12:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp2-{F}(V3,V4,V2), P_first-{F}(V5,V6), P_second-{F}(V5,V7), P_unordered_pair-{F}(V5,V8,V9), P_intersection-{F}(V9,V10,V0), P_first-{F}(V8,V11), P_second-{F}(V8,V12), P_ordered_pair-{F}(V13,V14,V8), pppp3-{F}(V15,V1,V13,V14) | P_unordered_pair-{T}(V3,V4,V7), P_unordered_pair-{T}(V3,V4,V12)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2466: mergings( V3 == V4, V4 == V7, V5 == V6; #2462 ), references = 1, size of lhs = 13:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_singleton-{F}(V3,V4), pppp2-{F}(V4,V5,V2), P_unordered_pair-{F}(V3,V6,V5), P_singleton-{F}(V7,V6), P_first-{F}(V8,V9), P_second-{F}(V8,V10), P_unordered_pair-{F}(V8,V11,V12), P_intersection-{F}(V12,V13,V0), P_first-{F}(V11,V14), V14 == V2 | P_ordered_pair-{T}(V3,V7,V10)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2501: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V13, V5 == V6, V6 == V9, V9 == V11; #2488 ), references = 1, size of lhs = 13:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V0), P_second-{F}(V3,V2), P_first-{F}(V3,V4), P_unordered_pair-{F}(V3,V5,V6), P_intersection-{F}(V6,V7,V0), P_first-{F}(V5,V8), P_singleton-{F}(V9,V10), P_unordered_pair-{F}(V11,V10,V12), P_unordered_pair-{F}(V13,V14,V9), V11 == V13, V11 == V14 | P_singleton-{T}(V11,V8)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2511: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V12, V5 == V6, V6 == V9, V9 == V11; #2489 ), references = 1, size of lhs = 14:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp0-{F}(V2,V1), P_singleton-{F}(V2,V3), member-{F}(V4,V0), P_second-{F}(V5,V4), P_first-{F}(V5,V6), P_first-{F}(V4,V7), P_unordered_pair-{F}(V8,V3,V9), V7 == V8, P_unordered_pair-{F}(V5,V10,V11), P_intersection-{F}(V11,V12,V0), P_first-{F}(V10,V13) | P_singleton-{T}(V8,V13)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2521: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V12, V5 == V6, V6 == V9, V9 == V11; #2490 ), references = 1, size of lhs = 15:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp0-{F}(V2,V1), P_singleton-{F}(V2,V3), member-{F}(V4,V0), P_second-{F}(V5,V4), P_first-{F}(V5,V6), P_first-{F}(V4,V7), P_second-{F}(V4,V8), P_unordered_pair-{F}(V9,V3,V10), V7 == V9, P_unordered_pair-{F}(V5,V11,V12), P_intersection-{F}(V12,V13,V0), P_first-{F}(V11,V14) | P_singleton-{T}(V9,V14)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2541: mergings( V0 == V3, V3 == V15, V15 == V16, V16 == V17, V17 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V27, V27 == V28, V1 == V2, V2 == V18, V18 == V19, V19 == V22, V22 == V24; #2524 ), references = 1, size of lhs = 29:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_singleton-{F}(V2,V3), member-{F}(V4,V1), member-{F}(V5,V0), P_second-{F}(V6,V5), P_first-{F}(V6,V7), P_first-{F}(V8,V9), P_second-{F}(V8,V10), P_unordered_pair-{F}(V8,V11,V12), P_intersection-{F}(V12,V13,V0), P_first-{F}(V11,V14), P_second-{F}(V11,V15), P_unordered_pair-{F}(V6,V16,V17), P_intersection-{F}(V17,V18,V0), P_first-{F}(V16,V19), P_unordered_pair-{F}(V2,V19,V20), P_unordered_pair-{F}(V3,V20,V21), P_first-{F}(V21,V22), P_second-{F}(V21,V23), pppp2-{F}(V24,V25,V4), V23 == V24, P_singleton-{F}(V26,V25), P_unordered_pair-{F}(V27,V28,V26), V24 == V27, V24 == V28, P_ordered_pair-{F}(V29,V30,V21), pppp3-{F}(V31,V1,V29,V30) | P_unordered_pair-{T}(V24,V25,V15)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2567: mergings( V0 == V4; #2563 ), references = 2, size of lhs = 13:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), member-{F}(V3,V1), pppp3-{F}(V4,V5,V2,V3), P_cross_product-{F}(V4,V5,V6), pppp0-{F}(V6,V7), P_intersection-{F}(V7,V6,V8), P_unordered_pair-{F}(V9,V10,V8), P_first-{F}(V9,V11), V11 == V2, P_first-{F}(V10,V12), V12 == V2 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2569: mergings( V0 == V4; #2564 ), references = 1, size of lhs = 16:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_singleton-{F}(V2,V3), member-{F}(V4,V1), P_singleton-{F}(V4,V5), P_unordered_pair-{F}(V2,V5,V6), P_unordered_pair-{F}(V3,V6,V7), pppp3-{F}(V8,V9,V2,V4), P_cross_product-{F}(V8,V9,V10), pppp0-{F}(V10,V11), P_intersection-{F}(V11,V10,V12), P_unordered_pair-{F}(V13,V14,V12), V14 == V7, P_first-{F}(V13,V15), V15 == V2 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2571: mergings( V0 == V3; #2565 ), references = 1, size of lhs = 16:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_first-{F}(V3,V2), P_second-{F}(V3,V4), member-{F}(V4,V1), member-{F}(V3,V5), pppp3-{F}(V6,V7,V2,V4), P_cross_product-{F}(V6,V7,V8), pppp0-{F}(V8,V9), P_intersection-{F}(V9,V8,V10), P_unordered_pair-{F}(V11,V12,V10), V3 == V12, P_first-{F}(V11,V13), V13 == V2, P_cross_product-{F}(V14,V15,V5) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2576: mergings( V3 == V5; #2572 ), references = 1, size of lhs = 9:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), member-{F}(V3,V1), pppp3-{F}(V4,V5,V2,V3), P_cross_product-{F}(V4,V5,V6), pppp0-{F}(V6,V7), P_intersection-{F}(V7,V6,V8), P_unordered_pair-{F}(V9,V9,V8) | P_first-{T}(V9,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2578: mergings( V3 == V5; #2573 ), references = 1, size of lhs = 14:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_singleton-{F}(V2,V3), member-{F}(V4,V1), P_singleton-{F}(V4,V5), P_unordered_pair-{F}(V2,V5,V6), P_unordered_pair-{F}(V3,V6,V7), pppp3-{F}(V8,V9,V2,V4), P_cross_product-{F}(V8,V9,V10), pppp0-{F}(V10,V11), P_intersection-{F}(V11,V10,V12), P_unordered_pair-{F}(V13,V14,V12), V14 == V7 | P_first-{T}(V13,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2580: mergings( V3 == V4; #2574 ), references = 1, size of lhs = 14:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_first-{F}(V3,V2), P_second-{F}(V3,V4), member-{F}(V4,V1), member-{F}(V3,V5), pppp3-{F}(V6,V7,V2,V4), P_cross_product-{F}(V6,V7,V8), pppp0-{F}(V8,V9), P_intersection-{F}(V9,V8,V10), P_unordered_pair-{F}(V11,V12,V10), V3 == V12, P_cross_product-{F}(V13,V14,V5) | P_first-{T}(V11,V2)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2594: mergings( V0 == V4; #2590 ), references = 1, size of lhs = 17:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_singleton-{F}(V2,V3), member-{F}(V4,V1), P_singleton-{F}(V4,V5), P_unordered_pair-{F}(V2,V5,V6), P_unordered_pair-{F}(V3,V6,V7), pppp3-{F}(V8,V9,V2,V4), P_cross_product-{F}(V8,V9,V10), pppp0-{F}(V10,V11), P_intersection-{F}(V11,V10,V12), P_unordered_pair-{F}(V13,V14,V12), V14 == V7, P_first-{F}(V13,V15), P_second-{F}(V13,V16), V16 == V4 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2596: mergings( V0 == V4; #2591 ), references = 1, size of lhs = 15:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), member-{F}(V3,V1), pppp3-{F}(V4,V5,V2,V3), P_cross_product-{F}(V4,V5,V6), pppp0-{F}(V6,V7), P_intersection-{F}(V7,V6,V8), P_unordered_pair-{F}(V9,V10,V8), P_first-{F}(V9,V11), P_second-{F}(V9,V12), V12 == V3, P_first-{F}(V10,V13), P_second-{F}(V10,V14), V14 == V3 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2598: mergings( V0 == V3; #2592 ), references = 1, size of lhs = 17:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_first-{F}(V3,V2), P_second-{F}(V3,V4), member-{F}(V4,V1), member-{F}(V3,V5), pppp3-{F}(V6,V7,V2,V4), P_cross_product-{F}(V6,V7,V8), pppp0-{F}(V8,V9), P_intersection-{F}(V9,V8,V10), P_unordered_pair-{F}(V11,V12,V10), V3 == V12, P_first-{F}(V11,V13), P_second-{F}(V11,V14), V14 == V4, P_cross_product-{F}(V15,V16,V5) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2604: mergings( V3 == V5, V12 == V13; #2600 ), references = 1, size of lhs = 10:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), member-{F}(V3,V1), pppp3-{F}(V4,V5,V2,V3), P_cross_product-{F}(V4,V5,V6), pppp0-{F}(V6,V7), P_intersection-{F}(V7,V6,V8), P_unordered_pair-{F}(V9,V9,V8), P_first-{F}(V9,V10) | P_second-{T}(V9,V3)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2606: mergings( V3 == V5; #2599 ), references = 1, size of lhs = 15:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_singleton-{F}(V2,V3), member-{F}(V4,V1), P_singleton-{F}(V4,V5), P_unordered_pair-{F}(V2,V5,V6), P_unordered_pair-{F}(V3,V6,V7), pppp3-{F}(V8,V9,V2,V4), P_cross_product-{F}(V8,V9,V10), pppp0-{F}(V10,V11), P_intersection-{F}(V11,V10,V12), P_unordered_pair-{F}(V13,V14,V12), V14 == V7, P_first-{F}(V13,V15) | P_second-{T}(V13,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2608: mergings( V3 == V4; #2601 ), references = 1, size of lhs = 15:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), P_first-{F}(V3,V2), P_second-{F}(V3,V4), member-{F}(V4,V1), member-{F}(V3,V5), pppp3-{F}(V6,V7,V2,V4), P_cross_product-{F}(V6,V7,V8), pppp0-{F}(V8,V9), P_intersection-{F}(V9,V8,V10), P_unordered_pair-{F}(V11,V12,V10), V3 == V12, P_first-{F}(V11,V13), P_cross_product-{F}(V14,V15,V5) | P_second-{T}(V11,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2628: mergings( V0 == V4, V4 == V5, V2 == V3; #2624 ), references = 2, size of lhs = 8:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V3), member-{F}(V2,V4), P_intersection-{F}(V3,V4,V5), P_unordered_pair-{F}(V6,V7,V5), V2 == V6, V2 == V7 | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2697: mergings( V3 == V6, V4 == V5; #2694 ), references = 1, size of lhs = 6:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp0-{F}(V0,V2), P_intersection-{F}(V2,V0,V3), pppp4-{F}(V4,V5), P_unordered_pair-{F}(V6,V7,V3) | P_ordered_pair-{T}(V4,V5,V6), P_ordered_pair-{T}(V4,V5,V7)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2707: mergings( V0 == V3, V3 == V10, V10 == V12, V1 == V2, V2 == V11; #2700 ), references = 1, size of lhs = 14:
% 56.06/56.24 P_element_relation-{F}(V0), pppp0-{F}(V0,V1), P_intersection-{F}(V1,V0,V2), P_universal_class-{F}(V3), member-{F}(V4,V3), pppp4-{F}(V4,V5), member-{F}(V5,V3), member-{F}(V6,V3), V4 == V6, pppp2-{F}(V7,V7,V6), P_unordered_pair-{F}(V8,V9,V2), P_unordered_pair-{F}(V8,V10,V0), P_first-{F}(V10,V11), V11 == V6 | P_ordered_pair-{T}(V4,V5,V9)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2713: mergings( V0 == V3, V3 == V10, V10 == V12, V1 == V2, V2 == V11; #2701 ), references = 1, size of lhs = 18:
% 56.06/56.24 P_element_relation-{F}(V0), pppp0-{F}(V0,V1), P_intersection-{F}(V1,V0,V2), P_universal_class-{F}(V3), member-{F}(V4,V3), pppp4-{F}(V4,V5), member-{F}(V5,V3), member-{F}(V6,V3), V4 == V6, member-{F}(V7,V3), P_unordered_pair-{F}(V8,V9,V2), pppp3-{F}(V10,V11,V6,V7), P_cross_product-{F}(V10,V11,V12), pppp0-{F}(V12,V13), P_intersection-{F}(V13,V12,V14), P_unordered_pair-{F}(V8,V15,V14), P_first-{F}(V15,V16), V16 == V6 | P_ordered_pair-{T}(V4,V5,V9)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2742: mergings( V0 == V2, V2 == V3, V3 == V8; #2737 ), references = 1, size of lhs = 9:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp4-{F}(V2,V3), member-{F}(V3,V1), P_unordered_pair-{F}(V4,V5,V0), P_first-{F}(V5,V6), P_second-{F}(V5,V7), V7 == V3 | P_ordered_pair-{T}(V2,V3,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2746: mergings( V0 == V2, V2 == V3, V3 == V8; #2738 ), references = 1, size of lhs = 10:
% 56.06/56.24 P_element_relation-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V1), pppp4-{F}(V2,V3), P_unordered_pair-{F}(V4,V5,V0), P_first-{F}(V5,V6), P_second-{F}(V5,V7), V7 == V3, P_ordered_pair-{F}(V8,V9,V5), pppp3-{F}(V10,V1,V8,V9) | P_ordered_pair-{T}(V2,V3,V4)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2818: mergings( V2 == V4; #2815 ), references = 1, size of lhs = 8:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), member-{F}(V2,V0), pppp3-{F}(V3,V4,V1,V2), P_cross_product-{F}(V3,V4,V5), P_unordered_pair-{F}(V6,V7,V5), P_first-{F}(V7,V8), V8 == V1 | P_first-{T}(V6,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2820: mergings( V2 == V4; #2816 ), references = 1, size of lhs = 9:
% 56.06/56.24 P_universal_class-{F}(V0), member-{F}(V1,V0), member-{F}(V2,V0), pppp3-{F}(V3,V4,V1,V2), P_cross_product-{F}(V3,V4,V5), P_unordered_pair-{F}(V6,V7,V5), P_first-{F}(V7,V8), V8 == V1, P_second-{F}(V7,V9) | P_first-{T}(V6,V1)
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2880: exists( #142, #490 ), references = 1, size of lhs = 3:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2884: exists( #142, #2877 ), references = 1, size of lhs = 2:
% 56.06/56.24 P_universal_class-{F}(V0), P_element_relation-{F}(V1) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2886: exists( #145, #2881 ), references = 1, size of lhs = 1:
% 56.06/56.24 P_universal_class-{F}(V0) | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 #2888: exists( #138, #2885 ), references = 1, size of lhs = 0:
% 56.06/56.24 FALSE | FALSE
% 56.06/56.24 (used 0 times, uses = {})
% 56.06/56.24
% 56.06/56.24 number of learnt formulas = 137
% 56.06/56.24
% 56.06/56.24
% 56.06/56.24 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.06/56.24
% 56.06/56.24 randbase = 1
%------------------------------------------------------------------------------