TSTP Solution File: SET079+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET079+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 22.09s 22.27s
% Output : Refutation 22.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET079+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 01:47:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 22.09/22.27 GeoParameters:
% 22.09/22.27
% 22.09/22.27 tptp_input = 1
% 22.09/22.27 tptp_output = 0
% 22.09/22.27 nonempty = 1
% 22.09/22.27 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.09/22.27 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 22.09/22.27
% 22.09/22.27
% 22.09/22.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.09/22.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.09/22.27
% 22.09/22.27 RuleSystem INPUT:
% 22.09/22.27
% 22.09/22.27 Initial Rules:
% 22.09/22.27 #0: input, references = 3, size of lhs = 1:
% 22.09/22.27 subclass-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #1: input, references = 4, size of lhs = 1:
% 22.09/22.27 pppp0-{F}(V0,V1) | subclass-{T}(V0,V1)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #2: input, references = 10, size of lhs = 2:
% 22.09/22.27 pppp0-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #3: input, references = 4, size of lhs = 2:
% 22.09/22.27 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp27-{T}(V0,V1)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #4: input, references = 3, size of lhs = 1:
% 22.09/22.27 pppp27-{F}(V0,V1) | EXISTS V2: pppp19-{T}(V0,V1,V2)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #5: input, references = 4, size of lhs = 2:
% 22.09/22.27 pppp19-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #6: input, references = 3, size of lhs = 1:
% 22.09/22.27 pppp19-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #7: input, references = 4, size of lhs = 2:
% 22.09/22.27 P_universal_class-{F}(V0), #-{F} V1 | subclass-{T}(V1,V0)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #8: input, references = 3, size of lhs = 2:
% 22.09/22.27 P_universal_class-{F}(V0), #-{F} V2 | pppp1-{T}(V2,V2)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #9: input, references = 5, size of lhs = 3:
% 22.09/22.27 P_universal_class-{F}(V0), pppp1-{F}(V1,V2), V1 == V2 | FALSE
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #10: input, references = 3, size of lhs = 2:
% 22.09/22.27 P_universal_class-{F}(V0), pppp1-{F}(V1,V2) | subclass-{T}(V1,V2)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #11: input, references = 3, size of lhs = 2:
% 22.09/22.27 P_universal_class-{F}(V0), pppp1-{F}(V1,V2) | subclass-{T}(V2,V1)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #12: input, references = 5, size of lhs = 3:
% 22.09/22.27 P_universal_class-{F}(V0), subclass-{F}(V1,V2), subclass-{F}(V2,V1) | pppp1-{T}(V1,V2)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #13: input, references = 5, size of lhs = 3:
% 22.09/22.27 P_universal_class-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), member-{F}(V1,V4) | pppp2-{T}(V2,V3,V1)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #14: input, references = 5, size of lhs = 3:
% 22.09/22.27 P_universal_class-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), pppp2-{F}(V2,V3,V1) | member-{T}(V1,V4)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #15: input, references = 3, size of lhs = 2:
% 22.09/22.27 P_universal_class-{F}(V0), pppp2-{F}(V1,V2,V3) | member-{T}(V3,V0)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #16: input, references = 5, size of lhs = 4:
% 22.09/22.27 P_universal_class-{F}(V0), pppp2-{F}(V1,V2,V3), V3 == V1, V3 == V2 | FALSE
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #17: input, references = 5, size of lhs = 3:
% 22.09/22.27 P_universal_class-{F}(V0), #-{F} V2, member-{F}(V1,V0) | pppp2-{T}(V1,V2,V1)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #18: input, references = 3, size of lhs = 3:
% 22.09/22.27 P_universal_class-{F}(V0), #-{F} V1, member-{F}(V2,V0) | pppp2-{T}(V1,V2,V2)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #19: input, references = 8, size of lhs = 2:
% 22.09/22.27 P_universal_class-{F}(V0), P_unordered_pair-{F}(V1,V2,V3) | member-{T}(V3,V0)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #20: input, references = 4, size of lhs = 4:
% 22.09/22.27 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V1,V3), V2 == V3 | FALSE
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #21: input, references = 4, size of lhs = 7:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #22: input, references = 13, size of lhs = 4:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #23: input, references = 10, size of lhs = 4:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #24: input, references = 12, size of lhs = 2:
% 22.09/22.27 P_universal_class-{F}(V0), pppp3-{F}(V1,V2,V3,V4) | member-{T}(V3,V1)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #25: input, references = 4, size of lhs = 2:
% 22.09/22.27 P_universal_class-{F}(V0), pppp3-{F}(V1,V2,V3,V4) | member-{T}(V4,V2)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #26: input, references = 4, size of lhs = 3:
% 22.09/22.27 P_universal_class-{F}(V0), member-{F}(V3,V1), member-{F}(V4,V2) | pppp3-{T}(V1,V2,V3,V4)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #27: input, references = 5, size of lhs = 7:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #28: input, references = 8, size of lhs = 7:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #29: input, references = 5, size of lhs = 7:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #30: input, references = 3, size of lhs = 4:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #31: input, references = 4, size of lhs = 4:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #32: input, references = 3, size of lhs = 3:
% 22.09/22.27 P_universal_class-{F}(V0), P_element_relation-{F}(V1), pppp4-{F}(V2,V3) | member-{T}(V3,V0)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #33: input, references = 3, size of lhs = 3:
% 22.09/22.27 P_universal_class-{F}(V0), P_element_relation-{F}(V1), pppp4-{F}(V2,V3) | member-{T}(V2,V3)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #34: input, references = 4, size of lhs = 4:
% 22.09/22.27 P_universal_class-{F}(V0), P_element_relation-{F}(V1), member-{F}(V3,V0), member-{F}(V2,V3) | pppp4-{T}(V2,V3)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #35: input, references = 4, size of lhs = 3:
% 22.09/22.27 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2) | subclass-{T}(V1,V2)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #36: input, references = 4, size of lhs = 5:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #37: input, references = 5, size of lhs = 5:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #38: input, references = 4, size of lhs = 4:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #39: input, references = 3, size of lhs = 4:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #40: input, references = 5, size of lhs = 5:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #41: input, references = 5, size of lhs = 5:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #42: input, references = 3, size of lhs = 5:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #43: input, references = 3, size of lhs = 4:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #44: input, references = 6, size of lhs = 5:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #45: input, references = 3, size of lhs = 5:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #46: input, references = 6, size of lhs = 7:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #47: input, references = 5, size of lhs = 5:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #48: input, references = 4, size of lhs = 6:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #49: input, references = 3, size of lhs = 6:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #50: input, references = 3, size of lhs = 7:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #51: input, references = 4, size of lhs = 7:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #52: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #53: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #54: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #55: input, references = 3, size of lhs = 10:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #56: input, references = 3, size of lhs = 10:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #57: input, references = 3, size of lhs = 11:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #58: input, references = 3, size of lhs = 6:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #59: input, references = 3, size of lhs = 9:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #60: input, references = 3, size of lhs = 9:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #61: input, references = 3, size of lhs = 10:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #62: input, references = 3, size of lhs = 10:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #63: input, references = 3, size of lhs = 11:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #64: input, references = 3, size of lhs = 6:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #65: input, references = 3, size of lhs = 7:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #66: input, references = 3, size of lhs = 7:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #67: input, references = 3, size of lhs = 6:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #68: input, references = 3, size of lhs = 7:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #69: input, references = 3, size of lhs = 7:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #70: input, references = 3, size of lhs = 9:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #71: input, references = 3, size of lhs = 6:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #72: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #73: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #74: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #75: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #76: input, references = 3, size of lhs = 9:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #77: input, references = 3, size of lhs = 9:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #78: input, references = 4, size of lhs = 11:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #79: input, references = 4, size of lhs = 10:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #80: input, references = 4, size of lhs = 10:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #81: input, references = 3, size of lhs = 7:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #82: input, references = 3, size of lhs = 7:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #83: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #84: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #85: input, references = 3, size of lhs = 9:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #86: input, references = 3, size of lhs = 6:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #87: input, references = 3, size of lhs = 2:
% 22.09/22.27 pppp20-{F}(V0,V1), inductive-{F}(V2) | subclass-{T}(V0,V2)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #88: input, references = 3, size of lhs = 1:
% 22.09/22.27 pppp20-{F}(V0,V1) | inductive-{T}(V0)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #89: input, references = 3, size of lhs = 1:
% 22.09/22.27 pppp20-{F}(V0,V1) | member-{T}(V0,V1)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #90: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #91: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #92: input, references = 3, size of lhs = 7:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #93: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #94: input, references = 3, size of lhs = 1:
% 22.09/22.27 pppp21-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #95: input, references = 3, size of lhs = 1:
% 22.09/22.27 pppp21-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #96: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #97: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #98: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #99: input, references = 3, size of lhs = 7:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #100: input, references = 3, size of lhs = 7:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #101: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #102: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #103: input, references = 3, size of lhs = 7:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #104: input, references = 3, size of lhs = 9:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #105: input, references = 3, size of lhs = 9:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #106: input, references = 3, size of lhs = 10:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #107: input, references = 3, size of lhs = 10:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #108: input, references = 3, size of lhs = 11:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #109: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #110: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #111: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #112: input, references = 3, size of lhs = 9:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #113: input, references = 3, size of lhs = 3:
% 22.09/22.27 pppp22-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V0,V3), V1 == V3 | FALSE
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #114: input, references = 3, size of lhs = 2:
% 22.09/22.27 pppp22-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V0,V3) | member-{T}(V0,V2)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #115: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #116: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #117: input, references = 3, size of lhs = 10:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #118: input, references = 3, size of lhs = 10:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #119: input, references = 3, size of lhs = 11:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #120: input, references = 3, size of lhs = 10:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #121: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #122: input, references = 3, size of lhs = 8:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #123: input, references = 3, size of lhs = 10:
% 22.09/22.27 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
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #124: input, references = 3, size of lhs = 9:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #125: input, references = 3, size of lhs = 1:
% 22.09/22.27 pppp28-{F}(V0,V1) | EXISTS V2: pppp23-{T}(V0,V1,V2)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #126: input, references = 3, size of lhs = 1:
% 22.09/22.27 pppp23-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #127: input, references = 3, size of lhs = 1:
% 22.09/22.27 pppp23-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #128: input, references = 3, size of lhs = 9:
% 22.09/22.27 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)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #129: input, references = 3, size of lhs = 1:
% 22.09/22.27 pppp24-{F}(V0,V1,V2) | disjoint-{T}(V1,V0)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #130: input, references = 3, size of lhs = 1:
% 22.09/22.27 pppp24-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #131: input, references = 3, size of lhs = 1:
% 22.09/22.27 pppp24-{F}(V0,V1,V2) | member-{T}(V1,V2)
% 22.09/22.27 (used 0 times, uses = {})
% 22.09/22.27
% 22.09/22.27 #132: input, references = 3, size of lhs = 12:
% 22.09/22.27 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
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #133: input, references = 3, size of lhs = 7:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #134: input, references = 3, size of lhs = 4:
% 22.09/22.28 pppp25-{F}(V0,V1,V2), P_apply-{F}(V0,V3,V4), member-{F}(V3,V1), V3 == V2 | member-{T}(V4,V3)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #135: input, references = 3, size of lhs = 1:
% 22.09/22.28 pppp25-{F}(V0,V1,V2) | function-{T}(V0)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #136: input, references = 7, size of lhs = 7:
% 22.09/22.28 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,V0,V3)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #137: input, references = 4, size of lhs = 3:
% 22.09/22.28 pppp26-{F}(V0,V1,V2), P_singleton-{F}(V0,V3), V3 == V2 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #138: input, references = 5, size of lhs = 2:
% 22.09/22.28 pppp26-{F}(V0,V1,V2), P_singleton-{F}(V0,V3) | member-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #139: input, references = 4, size of lhs = 0:
% 22.09/22.28 FALSE | EXISTS V0: P_universal_class-{T}(V0)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #140: input, references = 4, size of lhs = 2:
% 22.09/22.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #141: input, references = 7, size of lhs = 1:
% 22.09/22.28 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #142: input, references = 10, size of lhs = 2:
% 22.09/22.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #143: input, references = 11, size of lhs = 2:
% 22.09/22.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #144: input, references = 8, size of lhs = 1:
% 22.09/22.28 #-{F} V0 | EXISTS V1: P_first-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #145: input, references = 11, size of lhs = 1:
% 22.09/22.28 #-{F} V0 | EXISTS V1: P_second-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #146: input, references = 4, size of lhs = 0:
% 22.09/22.28 FALSE | EXISTS V0: P_element_relation-{T}(V0)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #147: input, references = 5, size of lhs = 2:
% 22.09/22.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #148: input, references = 3, size of lhs = 1:
% 22.09/22.28 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #149: input, references = 5, size of lhs = 3:
% 22.09/22.28 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_restrict-{T}(V0,V1,V2,V3)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #150: input, references = 4, size of lhs = 0:
% 22.09/22.28 FALSE | EXISTS V0: P_null_class-{T}(V0)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #151: input, references = 3, size of lhs = 1:
% 22.09/22.28 #-{F} V0 | EXISTS V1: P_domain_of-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #152: input, references = 3, size of lhs = 1:
% 22.09/22.28 #-{F} V0 | EXISTS V1: P_rotate-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #153: input, references = 3, size of lhs = 1:
% 22.09/22.28 #-{F} V0 | EXISTS V1: P_flip-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #154: input, references = 3, size of lhs = 2:
% 22.09/22.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #155: input, references = 3, size of lhs = 1:
% 22.09/22.28 #-{F} V0 | EXISTS V1: P_successor-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #156: input, references = 4, size of lhs = 0:
% 22.09/22.28 FALSE | EXISTS V0: P_successor_relation-{T}(V0)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #157: input, references = 4, size of lhs = 1:
% 22.09/22.28 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #158: input, references = 4, size of lhs = 1:
% 22.09/22.28 #-{F} V0 | EXISTS V1: P_range_of-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #159: input, references = 4, size of lhs = 2:
% 22.09/22.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_image-{T}(V0,V1,V2)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #160: input, references = 3, size of lhs = 1:
% 22.09/22.28 #-{F} V0 | EXISTS V1: P_sum_class-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #161: input, references = 3, size of lhs = 1:
% 22.09/22.28 #-{F} V0 | EXISTS V1: P_power_class-{T}(V0,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #162: input, references = 3, size of lhs = 2:
% 22.09/22.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #163: input, references = 4, size of lhs = 0:
% 22.09/22.28 FALSE | EXISTS V0: P_identity_relation-{T}(V0)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #164: input, references = 3, size of lhs = 2:
% 22.09/22.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 number of initial rules = 165
% 22.09/22.28
% 22.09/22.28 Simplifiers:
% 22.09/22.28 #165: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_universal_class-{F}(V0), P_universal_class-{F}(V1), V0 == V1 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #166: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #167: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #168: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #169: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #170: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_first-{F}(V0,V1), P_first-{F}(V0,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #171: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_second-{F}(V0,V1), P_second-{F}(V0,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #172: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_element_relation-{F}(V0), P_element_relation-{F}(V1), V0 == V1 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #173: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #174: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #175: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_restrict-{F}(V0,V1,V2,V3), P_restrict-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #176: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_null_class-{F}(V0), P_null_class-{F}(V1), V0 == V1 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #177: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_domain_of-{F}(V0,V1), P_domain_of-{F}(V0,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #178: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_rotate-{F}(V0,V1), P_rotate-{F}(V0,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #179: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_flip-{F}(V0,V1), P_flip-{F}(V0,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #180: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #181: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_successor-{F}(V0,V1), P_successor-{F}(V0,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #182: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_successor_relation-{F}(V0), P_successor_relation-{F}(V1), V0 == V1 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #183: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #184: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_range_of-{F}(V0,V1), P_range_of-{F}(V0,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #185: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_image-{F}(V0,V1,V2), P_image-{F}(V0,V1,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #186: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_sum_class-{F}(V0,V1), P_sum_class-{F}(V0,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #187: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_power_class-{F}(V0,V1), P_power_class-{F}(V0,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #188: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #189: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_identity_relation-{F}(V0), P_identity_relation-{F}(V1), V0 == V1 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #190: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #191: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V1,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #192: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #193: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp20-{F}(V0,V1), pppp20-{F}(V2,V3), V1 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #194: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V4,V2), V1 == V4 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #195: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V1,V2), V0 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #196: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V4,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #197: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp23-{F}(V0,V1,V2), pppp23-{F}(V0,V1,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #198: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V4,V2), V1 == V4 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #199: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp24-{F}(V0,V1,V2), pppp24-{F}(V3,V4,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #200: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V1,V2), V0 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #201: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V4,V5), V1 == V4 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #202: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V4,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #203: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp26-{F}(V0,V1,V2), pppp26-{F}(V3,V1,V2), V0 == V3 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #204: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp26-{F}(V0,V1,V2), pppp26-{F}(V3,V4,V5), V1 == V4 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #205: unsound, references = 3, size of lhs = 3:
% 22.09/22.28 pppp26-{F}(V0,V1,V2), pppp26-{F}(V3,V4,V5), V2 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 number of simplifiers = 41
% 22.09/22.28
% 22.09/22.28 Learnt:
% 22.09/22.28 #207: exists( #142, #21 ), references = 1, size of lhs = 5:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #211: exists( #140, #20 ), references = 7, size of lhs = 2:
% 22.09/22.28 P_universal_class-{F}(V0), P_singleton-{F}(V1,V2) | P_unordered_pair-{T}(V1,V1,V2)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #213: exists( #145, #27 ), references = 2, size of lhs = 6:
% 22.09/22.28 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
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #215: exists( #144, #212 ), references = 3, size of lhs = 4:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #218: mergings( V5 == V4; #216 ), references = 1, size of lhs = 5:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #228: mergings( V2 == V3; #225 ), references = 1, size of lhs = 3:
% 22.09/22.28 P_universal_class-{F}(V0), subclass-{F}(V1,V2), V1 == V2 | pppp27-{T}(V2,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #230: mergings( V2 == V3; #226 ), references = 1, size of lhs = 5:
% 22.09/22.28 P_universal_class-{F}(V0), member-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V5), V1 == V3, V1 == V4 | pppp27-{T}(V2,V5)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #237: exists( #143, #47 ), references = 4, size of lhs = 4:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), member-{F}(V3,V2) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #269: mergings( V2 == V0, V0 == V3, V3 == V4; #265 ), references = 1, size of lhs = 2:
% 22.09/22.28 P_element_relation-{F}(V0), P_universal_class-{F}(V0) | P_cross_product-{T}(V0,V0,V0)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #295: exists( #157, #78 ), references = 1, size of lhs = 9:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #297: exists( #158, #79 ), references = 1, size of lhs = 8:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #305: exists( #147, #46 ), references = 2, size of lhs = 5:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #370: exists( #149, #46 ), references = 1, size of lhs = 5:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #415: exists( #159, #80 ), references = 1, size of lhs = 8:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #489: exists( #141, #137 ), references = 5, size of lhs = 1:
% 22.09/22.28 pppp26-{F}(V0,V1,V2) | P_singleton-{T}(V0,V2)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #506: mergings( V0 == V8, V8 == V9; #503 ), references = 1, size of lhs = 11:
% 22.09/22.28 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), P_ordered_pair-{F}(V1,V1,V7), P_first-{F}(V7,V8), P_second-{F}(V7,V9), V9 == V1 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #510: mergings( V2 == V9, V9 == V10; #507 ), references = 1, size of lhs = 9:
% 22.09/22.28 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), P_ordered_pair-{F}(V1,V1,V7), P_first-{F}(V7,V8) | P_second-{T}(V7,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #599: mergings( V0 == V8, V8 == V9, V9 == V10, V10 == V11, V2 == V11, V4 == V11; #590 ), references = 1, size of lhs = 11:
% 22.09/22.28 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,V4), P_ordered_pair-{F}(V1,V1,V5), P_ordered_pair-{F}(V1,V5,V6), P_first-{F}(V6,V7), P_second-{F}(V6,V8), V8 == V5 | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #645: mergings( V0 == V8, V8 == V12, V2 == V10, V10 == V14, V1 == V9, V9 == V13, V3 == V11, V11 == V15; #636 ), references = 1, size of lhs = 9:
% 22.09/22.28 P_successor_relation-{F}(V0), P_identity_relation-{F}(V1), P_universal_class-{F}(V2), P_element_relation-{F}(V3), P_cross_product-{F}(V2,V2,V4), P_cross_product-{F}(V4,V2,V5), P_null_class-{F}(V6), P_domain_of-{F}(V7,V2), P_restrict-{F}(V7,V6,V2,V6) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #683: mergings( V8 == V0, V0 == V9, V9 == V10, V1 == V11; #677 ), references = 1, size of lhs = 7:
% 22.09/22.28 P_successor_relation-{F}(V0), P_identity_relation-{F}(V1), P_null_class-{F}(V2), P_universal_class-{F}(V3), P_cross_product-{F}(V3,V3,V4), P_cross_product-{F}(V4,V3,V5), P_element_relation-{F}(V6) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #690: mergings( V3 == V4, V4 == V8, V8 == V9, V1 == V10; #684 ), references = 1, size of lhs = 6:
% 22.09/22.28 P_successor_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), P_element_relation-{F}(V5) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #697: mergings( V2 == V3, V3 == V7, V7 == V8, V1 == V9; #691 ), references = 1, size of lhs = 5:
% 22.09/22.28 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_element_relation-{F}(V4) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #704: mergings( V2 == V3, V3 == V6, V6 == V7, V1 == V8; #698 ), references = 2, size of lhs = 4:
% 22.09/22.28 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_cross_product-{F}(V1,V0,V2), P_element_relation-{F}(V3) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #734: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #728 ), references = 6, size of lhs = 7:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_complement-{F}(V2,V3), member-{F}(V4,V3), member-{F}(V4,V5), P_restrict-{F}(V2,V6,V7,V5), P_cross_product-{F}(V6,V7,V8) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #783: mergings( V3 == V4, V4 == V5; #779 ), references = 1, size of lhs = 4:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #788: mergings( V0 == V1, V1 == V2, V2 == V10; #784 ), references = 5, size of lhs = 9:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #835: exists( #142, #29 ), references = 8, size of lhs = 5:
% 22.09/22.28 P_universal_class-{F}(V0), P_first-{F}(V1,V2), P_second-{F}(V1,V3), member-{F}(V1,V4), P_cross_product-{F}(V5,V6,V4) | P_ordered_pair-{T}(V2,V3,V1)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #851: mergings( V2 == V3, V3 == V4, V4 == V5; #845 ), references = 2, size of lhs = 11:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_first-{F}(V2,V3), member-{F}(V2,V4), member-{F}(V3,V5), P_complement-{F}(V6,V5), member-{F}(V2,V7), P_cross_product-{F}(V8,V9,V4), P_cross_product-{F}(V10,V11,V7), P_restrict-{F}(V6,V12,V13,V10), P_cross_product-{F}(V12,V13,V14) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #854: mergings( V2 == V3, V3 == V4; #846 ), references = 1, size of lhs = 7:
% 22.09/22.28 P_universal_class-{F}(V0), P_first-{F}(V1,V2), member-{F}(V1,V3), member-{F}(V1,V4), P_cross_product-{F}(V5,V6,V3), P_cross_product-{F}(V7,V8,V4), pppp19-{F}(V9,V7,V2) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #858: mergings( V2 == V3, V3 == V4, V4 == V5; #847 ), references = 1, size of lhs = 9:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_cross_product-{F}(V0,V0,V2), P_first-{F}(V3,V4), member-{F}(V3,V5), pppp6-{F}(V6,V4), member-{F}(V3,V7), P_cross_product-{F}(V6,V8,V7), P_cross_product-{F}(V9,V10,V5) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #876: mergings( V2 == V3, V3 == V4, V4 == V5; #872 ), references = 2, size of lhs = 11:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_first-{F}(V2,V3), member-{F}(V2,V4), member-{F}(V2,V5), P_cross_product-{F}(V6,V7,V4), P_complement-{F}(V8,V9), pppp0-{F}(V10,V9), P_cross_product-{F}(V11,V10,V5), P_restrict-{F}(V8,V12,V13,V10), P_cross_product-{F}(V12,V13,V14) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #881: mergings( V2 == V3, V3 == V4, V4 == V5; #877 ), references = 2, size of lhs = 10:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), member-{F}(V2,V3), member-{F}(V2,V4), P_cross_product-{F}(V5,V6,V3), P_complement-{F}(V7,V8), pppp0-{F}(V9,V8), P_cross_product-{F}(V10,V9,V4), P_restrict-{F}(V7,V11,V12,V9), P_cross_product-{F}(V11,V12,V13) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #883: exists( #143, #46 ), references = 2, size of lhs = 6:
% 22.09/22.28 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
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #885: exists( #147, #882 ), references = 1, size of lhs = 4:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #907: mergings( V3 == V5, V4 == V6; #904 ), references = 2, size of lhs = 4:
% 22.09/22.28 P_null_class-{F}(V0), P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp4-{F}(V2,V3) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #943: mergings( V2 == V3, V3 == V4; #940 ), references = 2, size of lhs = 6:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), member-{F}(V3,V4), member-{F}(V3,V5), P_intersection-{F}(V4,V5,V2) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #966: mergings( V2 == V3, V3 == V4, V4 == V7, V5 == V6; #961 ), references = 1, size of lhs = 4:
% 22.09/22.28 P_null_class-{F}(V0), P_element_relation-{F}(V0), P_universal_class-{F}(V1), pppp2-{F}(V2,V2,V3) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #977: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V7 == V8; #970 ), references = 1, size of lhs = 3:
% 22.09/22.28 P_null_class-{F}(V0), P_element_relation-{F}(V0), P_universal_class-{F}(V1) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #983: mergings( V2 == V3, V3 == V4; #980 ), references = 1, size of lhs = 3:
% 22.09/22.28 P_null_class-{F}(V0), P_universal_class-{F}(V0), P_element_relation-{F}(V1) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #985: exists( #149, #883 ), references = 1, size of lhs = 4:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #998: mergings( V2 == V3; #996 ), references = 2, size of lhs = 5:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), member-{F}(V2,V3), member-{F}(V2,V4), P_complement-{F}(V4,V3) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1032: mergings( V2 == V3, V3 == V4, V4 == V5; #1026 ), references = 1, size of lhs = 11:
% 22.09/22.28 P_universal_class-{F}(V0), P_first-{F}(V1,V2), member-{F}(V1,V3), P_first-{F}(V2,V4), P_second-{F}(V2,V5), P_ordered_pair-{F}(V4,V5,V6), V2 == V6, member-{F}(V1,V7), P_cross_product-{F}(V8,V9,V3), P_cross_product-{F}(V10,V11,V7), P_cross_product-{F}(V12,V13,V10) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1036: mergings( V2 == V3, V3 == V4, V4 == V5; #1027 ), references = 2, size of lhs = 13:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_first-{F}(V2,V3), member-{F}(V2,V4), member-{F}(V2,V5), P_cross_product-{F}(V6,V7,V4), P_complement-{F}(V8,V9), pppp0-{F}(V10,V9), P_cross_product-{F}(V11,V10,V12), P_cross_product-{F}(V12,V13,V5), P_cross_product-{F}(V14,V15,V12), P_restrict-{F}(V8,V16,V17,V10), P_cross_product-{F}(V16,V17,V18) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1040: mergings( V2 == V3, V3 == V4, V4 == V5; #1028 ), references = 1, size of lhs = 14:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_first-{F}(V2,V3), member-{F}(V2,V4), P_first-{F}(V3,V5), member-{F}(V2,V6), P_cross_product-{F}(V7,V8,V4), P_complement-{F}(V9,V10), pppp0-{F}(V11,V10), P_cross_product-{F}(V12,V11,V13), P_cross_product-{F}(V13,V14,V6), P_cross_product-{F}(V15,V16,V13), P_restrict-{F}(V9,V17,V18,V11), P_cross_product-{F}(V17,V18,V19) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1045: mergings( V2 == V3, V3 == V4, V4 == V5; #1041 ), references = 2, size of lhs = 12:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), member-{F}(V2,V3), member-{F}(V2,V4), P_cross_product-{F}(V5,V6,V3), P_complement-{F}(V7,V8), pppp0-{F}(V9,V8), P_cross_product-{F}(V10,V9,V11), P_cross_product-{F}(V11,V12,V4), P_cross_product-{F}(V13,V14,V11), P_restrict-{F}(V7,V15,V16,V9), P_cross_product-{F}(V15,V16,V17) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1096: mergings( V2 == V3, V3 == V4, V4 == V5; #1090 ), references = 1, size of lhs = 9:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_first-{F}(V2,V3), member-{F}(V2,V4), member-{F}(V2,V5), P_cross_product-{F}(V6,V7,V4), pppp0-{F}(V8,V9), P_complement-{F}(V8,V9), P_cross_product-{F}(V8,V10,V5) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1100: mergings( V2 == V3, V3 == V4, V4 == V5; #1091 ), references = 1, size of lhs = 10:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_null_class-{F}(V2), P_first-{F}(V3,V4), member-{F}(V3,V5), member-{F}(V3,V6), P_cross_product-{F}(V7,V8,V5), pppp0-{F}(V9,V10), P_intersection-{F}(V9,V10,V2), P_cross_product-{F}(V9,V11,V6) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1104: mergings( V2 == V3, V3 == V4, V4 == V5; #1092 ), references = 1, size of lhs = 11:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_first-{F}(V2,V3), member-{F}(V2,V4), member-{F}(V2,V5), P_cross_product-{F}(V6,V7,V4), P_complement-{F}(V8,V9), pppp0-{F}(V9,V10), P_cross_product-{F}(V9,V11,V5), P_restrict-{F}(V8,V12,V13,V10), P_cross_product-{F}(V12,V13,V14) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1111: mergings( V2 == V3, V3 == V4, V4 == V5; #1105 ), references = 1, size of lhs = 8:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), member-{F}(V2,V3), member-{F}(V2,V4), P_cross_product-{F}(V5,V6,V3), pppp0-{F}(V7,V8), P_complement-{F}(V7,V8), P_cross_product-{F}(V7,V9,V4) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1164: mergings( V3 == V4, V4 == V5; #1159 ), references = 1, size of lhs = 12:
% 22.09/22.28 P_universal_class-{F}(V0), member-{F}(V1,V0), P_element_relation-{F}(V2), member-{F}(V1,V3), P_complement-{F}(V4,V3), member-{F}(V5,V0), pppp3-{F}(V6,V7,V1,V5), P_cross_product-{F}(V6,V7,V8), P_cross_product-{F}(V9,V10,V8), P_cross_product-{F}(V11,V12,V8), P_restrict-{F}(V4,V13,V14,V11), P_cross_product-{F}(V13,V14,V15) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1166: mergings( V3 == V4; #1160 ), references = 1, size of lhs = 12:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_complement-{F}(V2,V3), pppp0-{F}(V4,V3), P_cross_product-{F}(V5,V4,V6), P_cross_product-{F}(V6,V7,V8), P_cross_product-{F}(V9,V10,V8), pppp3-{F}(V9,V10,V11,V12), P_cross_product-{F}(V13,V14,V8), P_cross_product-{F}(V15,V16,V6), P_restrict-{F}(V2,V17,V18,V4), P_cross_product-{F}(V17,V18,V19) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1169: mergings( V3 == V4, V4 == V5; #1161 ), references = 1, size of lhs = 14:
% 22.09/22.28 P_universal_class-{F}(V0), member-{F}(V1,V0), P_element_relation-{F}(V2), member-{F}(V3,V0), P_complement-{F}(V4,V5), pppp0-{F}(V6,V5), P_cross_product-{F}(V7,V6,V8), P_cross_product-{F}(V8,V9,V10), P_cross_product-{F}(V11,V12,V10), pppp3-{F}(V11,V12,V1,V3), P_cross_product-{F}(V13,V14,V10), P_cross_product-{F}(V15,V16,V8), P_restrict-{F}(V4,V17,V18,V6), P_cross_product-{F}(V17,V18,V19) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1175: mergings( V3 == V4; #1173 ), references = 1, size of lhs = 8:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1), P_complement-{F}(V2,V3), pppp0-{F}(V4,V3), P_cross_product-{F}(V5,V6,V4), pppp3-{F}(V5,V6,V7,V8), P_restrict-{F}(V2,V9,V10,V4), P_cross_product-{F}(V9,V10,V11) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1226: mergings( V3 == V4, V4 == V7, V7 == V10, V6 == V9, V5 == V8, V8 == V11; #1217 ), references = 1, size of lhs = 10:
% 22.09/22.28 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_element_relation-{F}(V2), P_complement-{F}(V3,V4), pppp0-{F}(V5,V4), P_intersection-{F}(V4,V5,V6), P_cross_product-{F}(V7,V8,V5), pppp3-{F}(V7,V8,V9,V10), P_restrict-{F}(V3,V11,V12,V6), P_cross_product-{F}(V11,V12,V13) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1236: mergings( V2 == V4, V9 == V10; #1233 ), references = 2, size of lhs = 7:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1238: mergings( V2 == V4; #1231 ), references = 1, size of lhs = 9:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1241: mergings( V2 == V4, V9 == V10; #1232 ), references = 1, size of lhs = 8:
% 22.09/22.28 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)
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1254: mergings( V2 == V4, V4 == V6, V11 == V12; #1248 ), references = 1, size of lhs = 11:
% 22.09/22.28 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
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1563: exists( #143, #704 ), references = 1, size of lhs = 3:
% 22.09/22.28 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_element_relation-{F}(V2) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1567: exists( #143, #1560 ), references = 1, size of lhs = 2:
% 22.09/22.28 P_universal_class-{F}(V0), P_element_relation-{F}(V1) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1569: exists( #146, #1564 ), references = 1, size of lhs = 1:
% 22.09/22.28 P_universal_class-{F}(V0) | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 #1571: exists( #139, #1568 ), references = 1, size of lhs = 0:
% 22.09/22.28 FALSE | FALSE
% 22.09/22.28 (used 0 times, uses = {})
% 22.09/22.28
% 22.09/22.28 number of learnt formulas = 62
% 22.09/22.28
% 22.09/22.28
% 22.09/22.28 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.09/22.28
% 22.09/22.28 randbase = 1
%------------------------------------------------------------------------------