TSTP Solution File: SET077+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:15:46 EDT 2022
% Result : Theorem 8.16s 8.35s
% Output : Refutation 8.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jul 23 02:38:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.16/8.35 GeoParameters:
% 8.16/8.35
% 8.16/8.35 tptp_input = 1
% 8.16/8.35 tptp_output = 0
% 8.16/8.35 nonempty = 1
% 8.16/8.35 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.16/8.35 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 8.16/8.35
% 8.16/8.35
% 8.16/8.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.16/8.35 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.16/8.35
% 8.16/8.35 RuleSystem INPUT:
% 8.16/8.35
% 8.16/8.35 Initial Rules:
% 8.16/8.35 #0: input, references = 8, size of lhs = 1:
% 8.16/8.35 subclass-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #1: input, references = 4, size of lhs = 1:
% 8.16/8.35 pppp0-{F}(V0,V1) | subclass-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #2: input, references = 11, size of lhs = 2:
% 8.16/8.35 pppp0-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #3: input, references = 5, size of lhs = 2:
% 8.16/8.35 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp27-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #4: input, references = 6, size of lhs = 1:
% 8.16/8.35 pppp27-{F}(V0,V1) | EXISTS V2: pppp19-{T}(V0,V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #5: input, references = 3, size of lhs = 2:
% 8.16/8.35 pppp19-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #6: input, references = 6, size of lhs = 1:
% 8.16/8.35 pppp19-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #7: input, references = 9, size of lhs = 2:
% 8.16/8.35 P_universal_class-{F}(V0), #-{F} V1 | subclass-{T}(V1,V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #8: input, references = 3, size of lhs = 2:
% 8.16/8.35 P_universal_class-{F}(V0), #-{F} V2 | pppp1-{T}(V2,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #9: input, references = 5, size of lhs = 3:
% 8.16/8.35 P_universal_class-{F}(V0), pppp1-{F}(V1,V2), V1 == V2 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #10: input, references = 3, size of lhs = 2:
% 8.16/8.35 P_universal_class-{F}(V0), pppp1-{F}(V1,V2) | subclass-{T}(V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #11: input, references = 3, size of lhs = 2:
% 8.16/8.35 P_universal_class-{F}(V0), pppp1-{F}(V1,V2) | subclass-{T}(V2,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #12: input, references = 5, size of lhs = 3:
% 8.16/8.35 P_universal_class-{F}(V0), subclass-{F}(V1,V2), subclass-{F}(V2,V1) | pppp1-{T}(V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #13: input, references = 8, size of lhs = 3:
% 8.16/8.35 P_universal_class-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), member-{F}(V1,V4) | pppp2-{T}(V2,V3,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #14: input, references = 8, size of lhs = 3:
% 8.16/8.35 P_universal_class-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), pppp2-{F}(V2,V3,V1) | member-{T}(V1,V4)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #15: input, references = 3, size of lhs = 2:
% 8.16/8.35 P_universal_class-{F}(V0), pppp2-{F}(V1,V2,V3) | member-{T}(V3,V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #16: input, references = 8, size of lhs = 4:
% 8.16/8.35 P_universal_class-{F}(V0), pppp2-{F}(V1,V2,V3), V3 == V1, V3 == V2 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #17: input, references = 15, size of lhs = 3:
% 8.16/8.35 P_universal_class-{F}(V0), #-{F} V2, member-{F}(V1,V0) | pppp2-{T}(V1,V2,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #18: input, references = 3, size of lhs = 3:
% 8.16/8.35 P_universal_class-{F}(V0), #-{F} V1, member-{F}(V2,V0) | pppp2-{T}(V1,V2,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #19: input, references = 14, size of lhs = 2:
% 8.16/8.35 P_universal_class-{F}(V0), P_unordered_pair-{F}(V1,V2,V3) | member-{T}(V3,V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #20: input, references = 4, size of lhs = 4:
% 8.16/8.35 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V1,V3), V2 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #21: input, references = 4, size of lhs = 7:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #22: input, references = 5, size of lhs = 4:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #23: input, references = 11, size of lhs = 4:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #24: input, references = 5, size of lhs = 2:
% 8.16/8.35 P_universal_class-{F}(V0), pppp3-{F}(V1,V2,V3,V4) | member-{T}(V3,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #25: input, references = 3, size of lhs = 2:
% 8.16/8.35 P_universal_class-{F}(V0), pppp3-{F}(V1,V2,V3,V4) | member-{T}(V4,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #26: input, references = 3, size of lhs = 3:
% 8.16/8.35 P_universal_class-{F}(V0), member-{F}(V3,V1), member-{F}(V4,V2) | pppp3-{T}(V1,V2,V3,V4)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #27: input, references = 5, size of lhs = 7:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #28: input, references = 7, size of lhs = 7:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #29: input, references = 3, size of lhs = 7:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #30: input, references = 3, size of lhs = 4:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #31: input, references = 6, size of lhs = 4:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #32: input, references = 3, size of lhs = 3:
% 8.16/8.35 P_universal_class-{F}(V0), P_element_relation-{F}(V1), pppp4-{F}(V2,V3) | member-{T}(V3,V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #33: input, references = 3, size of lhs = 3:
% 8.16/8.35 P_universal_class-{F}(V0), P_element_relation-{F}(V1), pppp4-{F}(V2,V3) | member-{T}(V2,V3)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #34: input, references = 5, size of lhs = 4:
% 8.16/8.35 P_universal_class-{F}(V0), P_element_relation-{F}(V1), member-{F}(V3,V0), member-{F}(V2,V3) | pppp4-{T}(V2,V3)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #35: input, references = 4, size of lhs = 3:
% 8.16/8.35 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2) | subclass-{T}(V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #36: input, references = 5, size of lhs = 5:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #37: input, references = 4, size of lhs = 5:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #38: input, references = 5, size of lhs = 4:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #39: input, references = 3, size of lhs = 4:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #40: input, references = 4, size of lhs = 5:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #41: input, references = 6, size of lhs = 5:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #42: input, references = 3, size of lhs = 5:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #43: input, references = 3, size of lhs = 4:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #44: input, references = 6, size of lhs = 5:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #45: input, references = 3, size of lhs = 5:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #46: input, references = 6, size of lhs = 7:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #47: input, references = 5, size of lhs = 5:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #48: input, references = 3, size of lhs = 6:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #49: input, references = 3, size of lhs = 6:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #50: input, references = 3, size of lhs = 7:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #51: input, references = 3, size of lhs = 7:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #52: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #53: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #54: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #55: input, references = 3, size of lhs = 10:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #56: input, references = 3, size of lhs = 10:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #57: input, references = 3, size of lhs = 11:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #58: input, references = 3, size of lhs = 6:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #59: input, references = 3, size of lhs = 9:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #60: input, references = 3, size of lhs = 9:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #61: input, references = 3, size of lhs = 10:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #62: input, references = 3, size of lhs = 10:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #63: input, references = 3, size of lhs = 11:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #64: input, references = 3, size of lhs = 6:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #65: input, references = 3, size of lhs = 7:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #66: input, references = 3, size of lhs = 7:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #67: input, references = 3, size of lhs = 6:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #68: input, references = 3, size of lhs = 7:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #69: input, references = 3, size of lhs = 7:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #70: input, references = 3, size of lhs = 9:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #71: input, references = 3, size of lhs = 6:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #72: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #73: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #74: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #75: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #76: input, references = 3, size of lhs = 9:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #77: input, references = 3, size of lhs = 9:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #78: input, references = 4, size of lhs = 11:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #79: input, references = 4, size of lhs = 10:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #80: input, references = 4, size of lhs = 10:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #81: input, references = 3, size of lhs = 7:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #82: input, references = 3, size of lhs = 7:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #83: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #84: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #85: input, references = 3, size of lhs = 9:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #86: input, references = 3, size of lhs = 6:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #87: input, references = 3, size of lhs = 2:
% 8.16/8.35 pppp20-{F}(V0,V1), inductive-{F}(V2) | subclass-{T}(V0,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #88: input, references = 3, size of lhs = 1:
% 8.16/8.35 pppp20-{F}(V0,V1) | inductive-{T}(V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #89: input, references = 3, size of lhs = 1:
% 8.16/8.35 pppp20-{F}(V0,V1) | member-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #90: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #91: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #92: input, references = 3, size of lhs = 7:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #93: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #94: input, references = 3, size of lhs = 1:
% 8.16/8.35 pppp21-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #95: input, references = 3, size of lhs = 1:
% 8.16/8.35 pppp21-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #96: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #97: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #98: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #99: input, references = 3, size of lhs = 7:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #100: input, references = 3, size of lhs = 7:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #101: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #102: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #103: input, references = 3, size of lhs = 7:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #104: input, references = 3, size of lhs = 9:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #105: input, references = 3, size of lhs = 9:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #106: input, references = 3, size of lhs = 10:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #107: input, references = 3, size of lhs = 10:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #108: input, references = 3, size of lhs = 11:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #109: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #110: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #111: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #112: input, references = 3, size of lhs = 9:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #113: input, references = 3, size of lhs = 3:
% 8.16/8.35 pppp22-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #114: input, references = 3, size of lhs = 2:
% 8.16/8.35 pppp22-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V0,V3) | member-{T}(V0,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #115: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #116: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #117: input, references = 3, size of lhs = 10:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #118: input, references = 3, size of lhs = 10:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #119: input, references = 3, size of lhs = 11:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #120: input, references = 3, size of lhs = 10:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #121: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #122: input, references = 3, size of lhs = 8:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #123: input, references = 3, size of lhs = 10:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #124: input, references = 3, size of lhs = 9:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #125: input, references = 3, size of lhs = 1:
% 8.16/8.35 pppp28-{F}(V0,V1) | EXISTS V2: pppp23-{T}(V0,V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #126: input, references = 3, size of lhs = 1:
% 8.16/8.35 pppp23-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #127: input, references = 3, size of lhs = 1:
% 8.16/8.35 pppp23-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #128: input, references = 3, size of lhs = 9:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #129: input, references = 3, size of lhs = 1:
% 8.16/8.35 pppp24-{F}(V0,V1,V2) | disjoint-{T}(V1,V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #130: input, references = 3, size of lhs = 1:
% 8.16/8.35 pppp24-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #131: input, references = 3, size of lhs = 1:
% 8.16/8.35 pppp24-{F}(V0,V1,V2) | member-{T}(V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #132: input, references = 3, size of lhs = 12:
% 8.16/8.35 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
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #133: input, references = 3, size of lhs = 7:
% 8.16/8.35 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)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #134: input, references = 3, size of lhs = 4:
% 8.16/8.35 pppp25-{F}(V0,V1,V2), P_apply-{F}(V0,V3,V4), member-{F}(V3,V1), V3 == V2 | member-{T}(V4,V3)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #135: input, references = 3, size of lhs = 1:
% 8.16/8.35 pppp25-{F}(V0,V1,V2) | function-{T}(V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #136: input, references = 4, size of lhs = 7:
% 8.16/8.35 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}(V0,V7)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #137: input, references = 4, size of lhs = 3:
% 8.16/8.35 pppp26-{F}(V0,V1), P_singleton-{F}(V1,V2), member-{F}(V2,V0) | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #138: input, references = 4, size of lhs = 0:
% 8.16/8.35 FALSE | EXISTS V0: P_universal_class-{T}(V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #139: input, references = 6, size of lhs = 2:
% 8.16/8.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #140: input, references = 12, size of lhs = 1:
% 8.16/8.35 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #141: input, references = 10, size of lhs = 2:
% 8.16/8.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #142: input, references = 14, size of lhs = 2:
% 8.16/8.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #143: input, references = 6, size of lhs = 1:
% 8.16/8.35 #-{F} V0 | EXISTS V1: P_first-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #144: input, references = 6, size of lhs = 1:
% 8.16/8.35 #-{F} V0 | EXISTS V1: P_second-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #145: input, references = 4, size of lhs = 0:
% 8.16/8.35 FALSE | EXISTS V0: P_element_relation-{T}(V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #146: input, references = 5, size of lhs = 2:
% 8.16/8.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #147: input, references = 3, size of lhs = 1:
% 8.16/8.35 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #148: input, references = 5, size of lhs = 3:
% 8.16/8.35 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_restrict-{T}(V0,V1,V2,V3)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #149: input, references = 4, size of lhs = 0:
% 8.16/8.35 FALSE | EXISTS V0: P_null_class-{T}(V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #150: input, references = 3, size of lhs = 1:
% 8.16/8.35 #-{F} V0 | EXISTS V1: P_domain_of-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #151: input, references = 3, size of lhs = 1:
% 8.16/8.35 #-{F} V0 | EXISTS V1: P_rotate-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #152: input, references = 3, size of lhs = 1:
% 8.16/8.35 #-{F} V0 | EXISTS V1: P_flip-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #153: input, references = 3, size of lhs = 2:
% 8.16/8.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #154: input, references = 3, size of lhs = 1:
% 8.16/8.35 #-{F} V0 | EXISTS V1: P_successor-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #155: input, references = 4, size of lhs = 0:
% 8.16/8.35 FALSE | EXISTS V0: P_successor_relation-{T}(V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #156: input, references = 4, size of lhs = 1:
% 8.16/8.35 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #157: input, references = 4, size of lhs = 1:
% 8.16/8.35 #-{F} V0 | EXISTS V1: P_range_of-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #158: input, references = 4, size of lhs = 2:
% 8.16/8.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_image-{T}(V0,V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #159: input, references = 3, size of lhs = 1:
% 8.16/8.35 #-{F} V0 | EXISTS V1: P_sum_class-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #160: input, references = 3, size of lhs = 1:
% 8.16/8.35 #-{F} V0 | EXISTS V1: P_power_class-{T}(V0,V1)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #161: input, references = 3, size of lhs = 2:
% 8.16/8.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #162: input, references = 4, size of lhs = 0:
% 8.16/8.35 FALSE | EXISTS V0: P_identity_relation-{T}(V0)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #163: input, references = 3, size of lhs = 2:
% 8.16/8.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 number of initial rules = 164
% 8.16/8.35
% 8.16/8.35 Simplifiers:
% 8.16/8.35 #164: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_universal_class-{F}(V0), P_universal_class-{F}(V1), V0 == V1 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #165: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #166: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #167: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #168: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #169: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_first-{F}(V0,V1), P_first-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #170: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_second-{F}(V0,V1), P_second-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #171: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_element_relation-{F}(V0), P_element_relation-{F}(V1), V0 == V1 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #172: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #173: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #174: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_restrict-{F}(V0,V1,V2,V3), P_restrict-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #175: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_null_class-{F}(V0), P_null_class-{F}(V1), V0 == V1 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #176: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_domain_of-{F}(V0,V1), P_domain_of-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #177: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_rotate-{F}(V0,V1), P_rotate-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #178: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_flip-{F}(V0,V1), P_flip-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #179: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #180: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_successor-{F}(V0,V1), P_successor-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #181: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_successor_relation-{F}(V0), P_successor_relation-{F}(V1), V0 == V1 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #182: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #183: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_range_of-{F}(V0,V1), P_range_of-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #184: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_image-{F}(V0,V1,V2), P_image-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #185: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_sum_class-{F}(V0,V1), P_sum_class-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #186: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_power_class-{F}(V0,V1), P_power_class-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #187: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #188: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_identity_relation-{F}(V0), P_identity_relation-{F}(V1), V0 == V1 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #189: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #190: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #191: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.35
% 8.16/8.35 #192: unsound, references = 3, size of lhs = 3:
% 8.16/8.35 pppp20-{F}(V0,V1), pppp20-{F}(V2,V3), V1 == V3 | FALSE
% 8.16/8.35 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #193: unsound, references = 3, size of lhs = 3:
% 8.16/8.36 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V4,V2), V1 == V4 | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #194: unsound, references = 3, size of lhs = 3:
% 8.16/8.36 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V1,V2), V0 == V3 | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #195: unsound, references = 3, size of lhs = 3:
% 8.16/8.36 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V4,V5), V2 == V5 | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #196: unsound, references = 3, size of lhs = 3:
% 8.16/8.36 pppp23-{F}(V0,V1,V2), pppp23-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #197: unsound, references = 3, size of lhs = 3:
% 8.16/8.36 pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V4,V2), V1 == V4 | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #198: unsound, references = 3, size of lhs = 3:
% 8.16/8.36 pppp24-{F}(V0,V1,V2), pppp24-{F}(V3,V4,V5), V2 == V5 | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #199: unsound, references = 3, size of lhs = 3:
% 8.16/8.36 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V1,V2), V0 == V3 | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #200: unsound, references = 3, size of lhs = 3:
% 8.16/8.36 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V4,V5), V1 == V4 | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #201: unsound, references = 3, size of lhs = 3:
% 8.16/8.36 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V4,V5), V2 == V5 | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #202: unsound, references = 3, size of lhs = 3:
% 8.16/8.36 pppp26-{F}(V0,V1), pppp26-{F}(V0,V3), V1 == V3 | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #203: unsound, references = 3, size of lhs = 3:
% 8.16/8.36 pppp26-{F}(V0,V1), pppp26-{F}(V2,V3), V0 == V2 | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 number of simplifiers = 40
% 8.16/8.36
% 8.16/8.36 Learnt:
% 8.16/8.36 #205: exists( #141, #21 ), references = 1, size of lhs = 5:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #209: exists( #139, #20 ), references = 11, size of lhs = 2:
% 8.16/8.36 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2) | P_unordered_pair-{T}(V1,V1,V2)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #211: exists( #144, #27 ), references = 3, size of lhs = 6:
% 8.16/8.36 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
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #213: exists( #143, #210 ), references = 1, size of lhs = 4:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #216: mergings( V5 == V4; #214 ), references = 1, size of lhs = 5:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #226: mergings( V2 == V3; #223 ), references = 1, size of lhs = 3:
% 8.16/8.36 P_universal_class-{F}(V0), subclass-{F}(V1,V2), V1 == V2 | pppp27-{T}(V2,V1)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #228: mergings( V2 == V3; #224 ), references = 1, size of lhs = 5:
% 8.16/8.36 P_universal_class-{F}(V0), member-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V5), V1 == V3, V1 == V4 | pppp27-{T}(V2,V5)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #235: exists( #142, #47 ), references = 4, size of lhs = 4:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), member-{F}(V3,V2) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #267: mergings( V2 == V0, V0 == V3, V3 == V4; #263 ), references = 1, size of lhs = 2:
% 8.16/8.36 P_element_relation-{F}(V0), P_universal_class-{F}(V0) | P_cross_product-{T}(V0,V0,V0)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #293: exists( #156, #78 ), references = 1, size of lhs = 9:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #295: exists( #157, #79 ), references = 1, size of lhs = 8:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #303: exists( #146, #46 ), references = 1, size of lhs = 5:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #368: exists( #148, #46 ), references = 1, size of lhs = 5:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #413: exists( #158, #80 ), references = 1, size of lhs = 8:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #500: mergings( V2 == V3; #498 ), references = 1, size of lhs = 2:
% 8.16/8.36 P_universal_class-{F}(V0), pppp26-{F}(V0,V1) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #503: mergings( V8 == V0; #501 ), references = 1, size of lhs = 7:
% 8.16/8.36 P_element_relation-{F}(V0), P_null_class-{F}(V1), P_successor_relation-{F}(V2), P_identity_relation-{F}(V3), P_universal_class-{F}(V4), P_cross_product-{F}(V4,V4,V5), P_cross_product-{F}(V5,V4,V6) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #506: mergings( V4 == V5; #504 ), references = 1, size of lhs = 6:
% 8.16/8.36 P_element_relation-{F}(V0), P_null_class-{F}(V1), P_successor_relation-{F}(V2), P_universal_class-{F}(V3), P_cross_product-{F}(V3,V3,V4), P_cross_product-{F}(V4,V3,V5) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #509: mergings( V3 == V4; #507 ), references = 1, size of lhs = 5:
% 8.16/8.36 P_element_relation-{F}(V0), P_null_class-{F}(V1), P_universal_class-{F}(V2), P_cross_product-{F}(V2,V2,V3), P_cross_product-{F}(V3,V2,V4) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #512: mergings( V2 == V3; #510 ), references = 2, size of lhs = 4:
% 8.16/8.36 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #519: mergings( V2 == V3, V3 == V4; #516 ), references = 1, size of lhs = 3:
% 8.16/8.36 P_null_class-{F}(V0), P_universal_class-{F}(V0), P_element_relation-{F}(V1) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #546: mergings( V2 == V3; #544 ), references = 2, size of lhs = 5:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), member-{F}(V2,V3), member-{F}(V2,V4), P_complement-{F}(V4,V3) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #556: exists( #142, #46 ), references = 2, size of lhs = 6:
% 8.16/8.36 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
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #558: exists( #146, #555 ), references = 1, size of lhs = 4:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #596: mergings( V2 == V3, V3 == V4; #592 ), references = 4, size of lhs = 5:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), P_intersection-{F}(V2,V3,V4), member-{F}(V5,V4) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #600: mergings( V2 == V3, V3 == V4, V4 == V5; #593 ), references = 1, size of lhs = 6:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_complement-{F}(V2,V3), member-{F}(V4,V3), member-{F}(V4,V5), P_intersection-{F}(V2,V6,V5) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #646: mergings( V0 == V4, V4 == V5, V2 == V3; #642 ), references = 2, size of lhs = 8:
% 8.16/8.36 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
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #678: mergings( V3 == V5; #676 ), references = 1, size of lhs = 7:
% 8.16/8.36 P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp0-{F}(V2,V3), P_intersection-{F}(V3,V2,V4), P_cross_product-{F}(V5,V6,V2), pppp3-{F}(V5,V6,V7,V8), P_unordered_pair-{F}(V9,V10,V4) | P_ordered_pair-{T}(V7,V8,V9), P_ordered_pair-{T}(V7,V8,V10)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #684: mergings( V0 == V2, V2 == V12; #679 ), references = 1, size of lhs = 11:
% 8.16/8.36 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_ordered_pair-{T}(V2,V3,V10)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #687: mergings( V0 == V2, V2 == V12; #680 ), references = 1, size of lhs = 12:
% 8.16/8.36 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_second-{F}(V9,V12) | P_ordered_pair-{T}(V2,V3,V10)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #690: mergings( V0 == V2, V2 == V12; #681 ), references = 1, size of lhs = 12:
% 8.16/8.36 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_ordered_pair-{T}(V2,V3,V10)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #728: mergings( V3 == V4, V4 == V5; #725 ), references = 1, size of lhs = 4:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #733: mergings( V0 == V1, V1 == V2, V2 == V10; #729 ), references = 5, size of lhs = 9:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #768: mergings( V3 == V4; #766 ), references = 1, size of lhs = 6:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), P_intersection-{F}(V2,V3,V4), P_cross_product-{F}(V5,V6,V4), pppp3-{F}(V5,V6,V7,V8) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #815: mergings( V3 == V4, V4 == V5, V5 == V6; #809 ), references = 1, size of lhs = 7:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), P_cross_product-{F}(V2,V3,V4), pppp0-{F}(V5,V4), P_cross_product-{F}(V6,V7,V5), pppp3-{F}(V6,V7,V8,V9) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #819: mergings( V3 == V4, V4 == V5, V5 == V6; #811 ), references = 1, size of lhs = 8:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), pppp6-{F}(V3,V4), P_cross_product-{F}(V3,V5,V6), pppp0-{F}(V7,V6), P_cross_product-{F}(V8,V9,V7), pppp3-{F}(V8,V9,V4,V10) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #834: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #827 ), references = 1, size of lhs = 5:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), P_cross_product-{F}(V2,V3,V0), pppp3-{F}(V4,V5,V6,V7) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #840: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V0, V3 == V7; #829 ), references = 1, size of lhs = 6:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_complement-{F}(V2,V3), member-{F}(V4,V3), P_cross_product-{F}(V2,V5,V0), pppp3-{F}(V0,V0,V4,V6) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #859: mergings( V3 == V5, V4 == V6; #856 ), references = 1, size of lhs = 5:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), P_intersection-{F}(V2,V3,V1), pppp4-{F}(V4,V5) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #869: mergings( V3 == V5, V5 == V6; #865 ), references = 1, size of lhs = 4:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #872: mergings( V3 == V5, V4 == V6; #866 ), references = 2, size of lhs = 5:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), pppp0-{F}(V1,V2), P_complement-{F}(V2,V1), pppp4-{F}(V3,V4) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #879: mergings( V0 == V2, V2 == V3, V3 == V8; #873 ), references = 2, size of lhs = 8:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #883: mergings( V0 == V2, V2 == V3, V3 == V8; #874 ), references = 1, size of lhs = 9:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #887: mergings( V0 == V2, V2 == V3, V3 == V8; #875 ), references = 1, size of lhs = 9:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #968: mergings( V2 == V3, V3 == V4, V4 == V6, V5 == V7; #962 ), references = 1, size of lhs = 5:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), pppp0-{F}(V1,V2), P_complement-{F}(V2,V1), pppp2-{F}(V3,V3,V4) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1017: mergings( V2 == V3, V3 == V6, V4 == V5; #1011 ), references = 11, size of lhs = 9:
% 8.16/8.36 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
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1022: mergings( V2 == V3, V3 == V6, V4 == V5; #1018 ), references = 1, size of lhs = 5:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1030: mergings( V2 == V4; #1028 ), references = 1, size of lhs = 6:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1032: exists( #148, #556 ), references = 1, size of lhs = 4:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1036: exists( #4, #1034 ), references = 1, size of lhs = 6:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1044: mergings( V2 == V4; #1042 ), references = 1, size of lhs = 6:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1050: exists( #139, #1048 ), references = 1, size of lhs = 7:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1058: mergings( V2 == V4; #1056 ), references = 1, size of lhs = 6:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1062: exists( #4, #1060 ), references = 1, size of lhs = 6:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1070: mergings( V2 == V4; #1068 ), references = 1, size of lhs = 6:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1074: exists( #4, #1072 ), references = 1, size of lhs = 6:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1088: exists( #139, #1086 ), references = 1, size of lhs = 7:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1104: mergings( V2 == V4; #1101 ), references = 1, size of lhs = 6:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1114: mergings( V0 == V2, V2 == V8, V8 == V9, V9 == V10, V10 == V11; #1108 ), references = 1, size of lhs = 9:
% 8.16/8.36 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)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1162: mergings( V2 == V4, V9 == V10; #1159 ), references = 1, size of lhs = 7:
% 8.16/8.36 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,V6,V5), P_first-{F}(V6,V7) | P_second-{T}(V6,V2)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1164: mergings( V2 == V4; #1157 ), references = 1, size of lhs = 9:
% 8.16/8.36 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_first-{F}(V7,V9), V9 == V1 | P_second-{T}(V6,V2)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1167: mergings( V2 == V4, V9 == V10; #1158 ), references = 1, size of lhs = 8:
% 8.16/8.36 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,V6,V5), P_first-{F}(V6,V7), V7 == V1 | P_second-{T}(V6,V2)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1182: mergings( V2 == V4, V4 == V5, V5 == V7, V12 == V13; #1175 ), references = 1, size of lhs = 11:
% 8.16/8.36 P_universal_class-{F}(V0), member-{F}(V1,V0), member-{F}(V2,V0), member-{F}(V3,V0), member-{F}(V4,V0), V3 == V4, pppp3-{F}(V5,V6,V1,V3), P_cross_product-{F}(V5,V6,V7), P_unordered_pair-{F}(V8,V8,V7), pppp3-{F}(V9,V10,V2,V4), P_cross_product-{F}(V9,V10,V7) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1187: disj( #3, mergings( V2 == V3, V3 == V4, V4 == V6, V5 == V7; #962 ) ), references = 1, size of lhs = 4:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_complement-{F}(V2,V1), pppp2-{F}(V3,V3,V4) | pppp27-{T}(V1,V2)
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1208: mergings( V3 == V4; #1206 ), references = 1, size of lhs = 8:
% 8.16/8.36 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,V7,V2), pppp3-{F}(V8,V9,V6,V7) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1236: mergings( V3 == V4, V4 == V5, V5 == V6; #1230 ), references = 1, size of lhs = 6:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), P_unordered_pair-{F}(V3,V4,V2), P_ordered_pair-{F}(V5,V6,V3), pppp3-{F}(V7,V8,V5,V6) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1240: mergings( V3 == V4, V4 == V5, V5 == V6; #1232 ), references = 1, size of lhs = 7:
% 8.16/8.36 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), P_intersection-{F}(V2,V3,V4), P_unordered_pair-{F}(V5,V6,V4), P_ordered_pair-{F}(V7,V8,V5), pppp3-{F}(V9,V10,V7,V8) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1276: exists( #142, #512 ), references = 1, size of lhs = 3:
% 8.16/8.36 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1280: exists( #142, #1273 ), references = 1, size of lhs = 2:
% 8.16/8.36 P_element_relation-{F}(V0), P_universal_class-{F}(V1) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1282: exists( #145, #1277 ), references = 1, size of lhs = 1:
% 8.16/8.36 P_universal_class-{F}(V0) | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 #1284: exists( #138, #1281 ), references = 1, size of lhs = 0:
% 8.16/8.36 FALSE | FALSE
% 8.16/8.36 (used 0 times, uses = {})
% 8.16/8.36
% 8.16/8.36 number of learnt formulas = 70
% 8.16/8.36
% 8.16/8.36
% 8.16/8.36 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.16/8.36
% 8.16/8.36 randbase = 1
%------------------------------------------------------------------------------