TSTP Solution File: SEU271+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:17:40 EDT 2022
% Result : Theorem 86.76s 87.01s
% Output : Refutation 86.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 18:56:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 86.76/87.01 GeoParameters:
% 86.76/87.01
% 86.76/87.01 tptp_input = 1
% 86.76/87.01 tptp_output = 0
% 86.76/87.01 nonempty = 1
% 86.76/87.01 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.76/87.01 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 86.76/87.01
% 86.76/87.01
% 86.76/87.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.76/87.01 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.76/87.01
% 86.76/87.01 RuleSystem INPUT:
% 86.76/87.01
% 86.76/87.01 Initial Rules:
% 86.76/87.01 #0: input, references = 6, size of lhs = 2:
% 86.76/87.01 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #1: input, references = 3, size of lhs = 1:
% 86.76/87.01 empty-{F}(V0) | function-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #2: input, references = 3, size of lhs = 1:
% 86.76/87.01 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #3: input, references = 3, size of lhs = 1:
% 86.76/87.01 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #4: input, references = 3, size of lhs = 3:
% 86.76/87.01 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #5: input, references = 3, size of lhs = 2:
% 86.76/87.01 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #6: input, references = 3, size of lhs = 1:
% 86.76/87.01 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #7: input, references = 3, size of lhs = 1:
% 86.76/87.01 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #8: input, references = 3, size of lhs = 1:
% 86.76/87.01 empty-{F}(V0) | ordinal-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #9: input, references = 4, size of lhs = 3:
% 86.76/87.01 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #10: input, references = 5, size of lhs = 3:
% 86.76/87.01 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #11: input, references = 3, size of lhs = 1:
% 86.76/87.01 #-{F} V1 | pppp0-{T}(V1,V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #12: input, references = 4, size of lhs = 2:
% 86.76/87.01 pppp0-{F}(V0,V1), V0 == V1 | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #13: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #14: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp0-{F}(V0,V1) | subset-{T}(V1,V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #15: input, references = 4, size of lhs = 2:
% 86.76/87.01 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp0-{T}(V0,V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #16: input, references = 3, size of lhs = 3:
% 86.76/87.01 P_relation_field-{F}(V0,V1), relation-{F}(V0), antisymmetric-{F}(V0) | is_antisymmetric_in-{T}(V0,V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #17: input, references = 5, size of lhs = 3:
% 86.76/87.01 P_relation_field-{F}(V0,V1), relation-{F}(V0), is_antisymmetric_in-{F}(V0,V1) | antisymmetric-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #18: input, references = 17, size of lhs = 2:
% 86.76/87.01 relation-{F}(V2), P_inclusion_relation-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #19: input, references = 3, size of lhs = 4:
% 86.76/87.01 relation-{F}(V0), P_inclusion_relation-{F}(V1,V2), pppp1-{F}(V1,V0), V0 == V2 | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #20: input, references = 4, size of lhs = 3:
% 86.76/87.01 P_relation_field-{F}(V1,V2), pppp1-{F}(V0,V1), V2 == V0 | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #21: input, references = 23, size of lhs = 6:
% 86.76/87.01 P_relation_field-{F}(V1,V2), pppp1-{F}(V0,V1), in-{F}(V3,V0), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V4,V0), in-{F}(V5,V1) | subset-{T}(V4,V3)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #22: input, references = 25, size of lhs = 6:
% 86.76/87.01 P_relation_field-{F}(V1,V2), pppp1-{F}(V0,V1), in-{F}(V3,V0), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V4,V0), subset-{F}(V4,V3) | in-{T}(V5,V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #23: input, references = 5, size of lhs = 1:
% 86.76/87.01 P_relation_field-{F}(V1,V0) | pppp1-{T}(V0,V1), pppp21-{T}(V0,V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #24: input, references = 4, size of lhs = 1:
% 86.76/87.01 pppp21-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #25: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp5-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #26: input, references = 6, size of lhs = 1:
% 86.76/87.01 pppp5-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #27: input, references = 3, size of lhs = 2:
% 86.76/87.01 pppp4-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V3,V2,V4) | pppp3-{T}(V0,V1,V3,V2,V4)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #28: input, references = 3, size of lhs = 3:
% 86.76/87.01 pppp3-{F}(V0,V1,V2,V3,V4), subset-{F}(V2,V3), in-{F}(V4,V1) | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #29: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp3-{F}(V0,V1,V2,V3,V4) | in-{T}(V4,V1), subset-{T}(V2,V3)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #30: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp3-{F}(V0,V1,V2,V3,V4) | in-{T}(V2,V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #31: input, references = 3, size of lhs = 2:
% 86.76/87.01 relation-{F}(V0), is_antisymmetric_in-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #32: input, references = 5, size of lhs = 2:
% 86.76/87.01 relation-{F}(V0), pppp2-{F}(V0,V1) | is_antisymmetric_in-{T}(V0,V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #33: input, references = 7, size of lhs = 8:
% 86.76/87.01 pppp2-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V3,V2,V4), P_ordered_pair-{F}(V2,V3,V5), in-{F}(V3,V1), in-{F}(V4,V0), in-{F}(V5,V0), V3 == V2 | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #34: input, references = 5, size of lhs = 2:
% 86.76/87.01 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp22-{T}(V0,V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #35: input, references = 6, size of lhs = 1:
% 86.76/87.01 pppp22-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #36: input, references = 5, size of lhs = 1:
% 86.76/87.01 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V3,V2)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #37: input, references = 9, size of lhs = 1:
% 86.76/87.01 pppp7-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #38: input, references = 4, size of lhs = 3:
% 86.76/87.01 pppp6-{F}(V0,V1,V3,V3), P_ordered_pair-{F}(V3,V3,V4), P_ordered_pair-{F}(V3,V3,V5) | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #39: input, references = 14, size of lhs = 3:
% 86.76/87.01 pppp6-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V3,V2,V5) | in-{T}(V5,V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #40: input, references = 10, size of lhs = 3:
% 86.76/87.01 pppp6-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V3,V2,V5) | in-{T}(V4,V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #41: input, references = 17, size of lhs = 3:
% 86.76/87.01 pppp6-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V3,V2,V5) | in-{T}(V2,V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #42: input, references = 5, size of lhs = 5:
% 86.76/87.01 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #43: input, references = 5, size of lhs = 6:
% 86.76/87.01 P_relation_field-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3), P_set_union2-{F}(V2,V3,V4), relation-{F}(V0), V1 == V4 | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #44: input, references = 17, size of lhs = 1:
% 86.76/87.01 P_inclusion_relation-{F}(V0,V1) | relation-{T}(V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #45: input, references = 5, size of lhs = 1:
% 86.76/87.01 #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #46: input, references = 6, size of lhs = 1:
% 86.76/87.01 pppp8-{F}(V0,V1) | element-{T}(V1,V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #47: input, references = 3, size of lhs = 1:
% 86.76/87.01 P_empty_set-{F}(V0) | empty-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #48: input, references = 4, size of lhs = 3:
% 86.76/87.01 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #49: input, references = 3, size of lhs = 1:
% 86.76/87.01 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #50: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp9-{F}(V0) | ordinal-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #51: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp9-{F}(V0) | epsilon_connected-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #52: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp9-{F}(V0) | epsilon_transitive-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #53: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp9-{F}(V0) | empty-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #54: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp9-{F}(V0) | one_to_one-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #55: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp9-{F}(V0) | function-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #56: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp9-{F}(V0) | relation_empty_yielding-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #57: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp9-{F}(V0) | relation-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #58: input, references = 6, size of lhs = 3:
% 86.76/87.01 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #59: input, references = 5, size of lhs = 3:
% 86.76/87.01 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #60: input, references = 4, size of lhs = 3:
% 86.76/87.01 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #61: input, references = 3, size of lhs = 1:
% 86.76/87.01 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #62: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp10-{F}(V0) | function-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #63: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp10-{F}(V0) | relation-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #64: input, references = 3, size of lhs = 1:
% 86.76/87.01 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #65: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp11-{F}(V0) | ordinal-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #66: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp11-{F}(V0) | epsilon_connected-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #67: input, references = 3, size of lhs = 1:
% 86.76/87.01 pppp11-{F}(V0) | epsilon_transitive-{T}(V0)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #68: input, references = 4, size of lhs = 1:
% 86.76/87.01 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 86.76/87.01 (used 0 times, uses = {})
% 86.76/87.01
% 86.76/87.01 #69: input, references = 5, size of lhs = 1:
% 86.76/87.02 pppp12-{F}(V0) | empty-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #70: input, references = 4, size of lhs = 1:
% 86.76/87.02 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #71: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp13-{F}(V0) | function-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #72: input, references = 5, size of lhs = 1:
% 86.76/87.02 pppp13-{F}(V0) | empty-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #73: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp13-{F}(V0) | relation-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #74: input, references = 4, size of lhs = 1:
% 86.76/87.02 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #75: input, references = 5, size of lhs = 1:
% 86.76/87.02 pppp15-{F}(V0) | pppp14-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #76: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp14-{F}(V0) | ordinal-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #77: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp14-{F}(V0) | epsilon_connected-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #78: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp14-{F}(V0) | epsilon_transitive-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #79: input, references = 5, size of lhs = 1:
% 86.76/87.02 pppp14-{F}(V0) | empty-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #80: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp14-{F}(V0) | one_to_one-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #81: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp14-{F}(V0) | function-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #82: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp14-{F}(V0) | relation-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #83: input, references = 3, size of lhs = 1:
% 86.76/87.02 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #84: input, references = 3, size of lhs = 2:
% 86.76/87.02 pppp16-{F}(V0), empty-{F}(V0) | FALSE
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #85: input, references = 3, size of lhs = 1:
% 86.76/87.02 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #86: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp17-{F}(V0) | one_to_one-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #87: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp17-{F}(V0) | function-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #88: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp17-{F}(V0) | relation-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #89: input, references = 3, size of lhs = 1:
% 86.76/87.02 P_empty_set-{F}(V0) | EXISTS V1: pppp18-{T}(V1)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #90: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp18-{F}(V0) | ordinal-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #91: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp18-{F}(V0) | epsilon_connected-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #92: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp18-{F}(V0) | epsilon_transitive-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #93: input, references = 3, size of lhs = 2:
% 86.76/87.02 pppp18-{F}(V0), empty-{F}(V0) | FALSE
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #94: input, references = 3, size of lhs = 1:
% 86.76/87.02 P_empty_set-{F}(V0) | EXISTS V1: pppp19-{T}(V1)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #95: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp19-{F}(V0) | function-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #96: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp19-{F}(V0) | relation_empty_yielding-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #97: input, references = 3, size of lhs = 1:
% 86.76/87.02 pppp19-{F}(V0) | relation-{T}(V0)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #98: input, references = 3, size of lhs = 2:
% 86.76/87.02 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #99: input, references = 4, size of lhs = 3:
% 86.76/87.02 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #100: input, references = 5, size of lhs = 2:
% 86.76/87.02 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #101: input, references = 5, size of lhs = 2:
% 86.76/87.02 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #102: input, references = 6, size of lhs = 3:
% 86.76/87.02 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #103: input, references = 12, size of lhs = 3:
% 86.76/87.02 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #104: input, references = 7, size of lhs = 4:
% 86.76/87.02 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #105: input, references = 9, size of lhs = 5:
% 86.76/87.02 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #106: input, references = 4, size of lhs = 1:
% 86.76/87.02 P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #107: input, references = 5, size of lhs = 3:
% 86.76/87.02 pppp20-{F}(V0), P_inclusion_relation-{F}(V0,V1), antisymmetric-{F}(V1) | FALSE
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #108: input, references = 8, size of lhs = 3:
% 86.76/87.02 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #109: input, references = 7, size of lhs = 3:
% 86.76/87.02 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #110: input, references = 8, size of lhs = 4:
% 86.76/87.02 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #111: input, references = 8, size of lhs = 2:
% 86.76/87.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #112: input, references = 6, size of lhs = 2:
% 86.76/87.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #113: input, references = 4, size of lhs = 1:
% 86.76/87.02 #-{F} V0 | EXISTS V1: P_relation_field-{T}(V0,V1)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #114: input, references = 10, size of lhs = 1:
% 86.76/87.02 #-{F} V0 | EXISTS V1: P_inclusion_relation-{T}(V0,V1)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #115: input, references = 27, size of lhs = 2:
% 86.76/87.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 86.76/87.02 (used 0 times, uses = {})
% 86.76/87.02
% 86.76/87.02 #116: input, references = 5, size of lhs = 1:
% 86.87/87.02 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #117: input, references = 4, size of lhs = 1:
% 86.87/87.02 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #118: input, references = 6, size of lhs = 1:
% 86.87/87.02 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #119: input, references = 4, size of lhs = 0:
% 86.87/87.02 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #120: input, references = 4, size of lhs = 1:
% 86.87/87.02 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 number of initial rules = 121
% 86.87/87.02
% 86.87/87.02 Simplifiers:
% 86.87/87.02 #121: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #122: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #123: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 P_relation_field-{F}(V0,V1), P_relation_field-{F}(V0,V3), V1 == V3 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #124: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 P_inclusion_relation-{F}(V0,V1), P_inclusion_relation-{F}(V0,V3), V1 == V3 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #125: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #126: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #127: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #128: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #129: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #130: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #131: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V1,V7,V3,V9), V2 == V7 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #132: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V1,V7,V8,V9), V3 == V8 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #133: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V1,V7,V8,V9), V0 == V5 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #134: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V2,V3,V9), V4 == V9 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #135: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #136: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #137: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V6,V7), V0 == V4 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #138: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #139: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V5), V0 == V3 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #140: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #141: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #142: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #143: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #144: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #145: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #146: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #147: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #148: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #149: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #150: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #151: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #152: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #153: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #154: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #155: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #156: unsound, references = 3, size of lhs = 3:
% 86.87/87.02 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 number of simplifiers = 36
% 86.87/87.02
% 86.87/87.02 Learnt:
% 86.87/87.02 #158: exists( #112, #60 ), references = 1, size of lhs = 2:
% 86.87/87.02 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #160: exists( #113, #20 ), references = 15, size of lhs = 1:
% 86.87/87.02 pppp1-{F}(V0,V1) | P_relation_field-{T}(V1,V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #170: mergings( V0 == V2; #167 ), references = 1, size of lhs = 1:
% 86.87/87.02 P_empty_set-{F}(V0) | pppp15-{T}(V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #172: mergings( V0 == V2; #168 ), references = 1, size of lhs = 2:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1) | pppp15-{T}(V1)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #179: mergings( V0 == V2; #176 ), references = 1, size of lhs = 1:
% 86.87/87.02 P_empty_set-{F}(V0) | pppp12-{T}(V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #181: mergings( V0 == V2; #177 ), references = 1, size of lhs = 2:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1) | pppp12-{T}(V1)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #188: mergings( V0 == V2; #185 ), references = 1, size of lhs = 1:
% 86.87/87.02 P_empty_set-{F}(V0) | pppp13-{T}(V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #190: mergings( V0 == V2; #186 ), references = 1, size of lhs = 2:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1) | pppp13-{T}(V1)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #193: exists( #112, #99 ), references = 3, size of lhs = 2:
% 86.87/87.02 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #194: exists( #112, #43 ), references = 7, size of lhs = 4:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3) | P_set_union2-{T}(V2,V3,V1)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #198: exists( #111, #42 ), references = 11, size of lhs = 3:
% 86.87/87.02 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V4,V1,V3)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #201: exists( #112, #10 ), references = 1, size of lhs = 1:
% 86.87/87.02 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #206: exists( #115, #42 ), references = 15, size of lhs = 3:
% 86.87/87.02 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #213: mergings( V0 == V3; #210 ), references = 1, size of lhs = 7:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_field-{F}(V1,V2), subset-{F}(V3,V3), element-{F}(V3,V4), pppp1-{F}(V4,V1), P_ordered_pair-{F}(V3,V3,V5) | empty-{T}(V4)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #215: mergings( V0 == V3; #211 ), references = 1, size of lhs = 9:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), subset-{F}(V3,V3), element-{F}(V3,V4), pppp1-{F}(V4,V5), element-{F}(V5,V2), P_relation_field-{F}(V5,V6), P_ordered_pair-{F}(V3,V3,V7) | empty-{T}(V4)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #224: mergings( V2 == V3, V3 == V7; #219 ), references = 1, size of lhs = 7:
% 86.87/87.02 empty-{F}(V0), P_relation_field-{F}(V0,V1), subset-{F}(V2,V2), element-{F}(V2,V3), pppp1-{F}(V3,V0), P_empty_set-{F}(V4), V3 == V4 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #228: mergings( V2 == V3, V3 == V7, V6 == V7; #220 ), references = 1, size of lhs = 8:
% 86.87/87.02 empty-{F}(V0), P_relation_field-{F}(V0,V1), subset-{F}(V2,V2), element-{F}(V2,V3), pppp1-{F}(V3,V0), P_empty_set-{F}(V3), empty-{F}(V4), V3 == V4 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #237: exists( #118, #235 ), references = 1, size of lhs = 4:
% 86.87/87.02 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V0), P_relation_field-{F}(V1,V2) | P_relation_rng-{T}(V1,V2)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #239: exists( #111, #9 ), references = 4, size of lhs = 1:
% 86.87/87.02 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #244: mergings( V0 == V3; #240 ), references = 10, size of lhs = 3:
% 86.87/87.02 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #247: mergings( V0 == V3, V2 == V3; #241 ), references = 1, size of lhs = 4:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #250: mergings( V0 == V3, V2 == V3; #242 ), references = 1, size of lhs = 3:
% 86.87/87.02 P_empty_set-{F}(V0), element-{F}(V1,V0), P_ordered_pair-{F}(V2,V3,V0) | in-{T}(V1,V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #267: mergings( V4 == V5; #263 ), references = 3, size of lhs = 6:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), in-{F}(V4,V2) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #269: mergings( V4 == V5; #264 ), references = 3, size of lhs = 8:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_powerset-{F}(V2,V4), element-{F}(V5,V4), in-{F}(V6,V5) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #271: mergings( V4 == V5; #265 ), references = 1, size of lhs = 6:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_ordered_pair-{F}(V4,V5,V2) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #281: mergings( V4 == V5; #278 ), references = 2, size of lhs = 5:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | P_relation_rng-{T}(V0,V3)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #283: mergings( V4 == V5; #279 ), references = 1, size of lhs = 6:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), empty-{F}(V4) | P_relation_rng-{T}(V0,V4)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #289: mergings( V2 == V4; #287 ), references = 1, size of lhs = 4:
% 86.87/87.02 empty-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_field-{F}(V2,V0) | P_relation_dom-{T}(V2,V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #320: exists( #114, #314 ), references = 5, size of lhs = 9:
% 86.87/87.02 in-{F}(V0,V1), subset-{F}(V0,V2), in-{F}(V2,V1), P_ordered_pair-{F}(V0,V2,V3), in-{F}(V4,V1), subset-{F}(V4,V5), V5 == V4, in-{F}(V5,V1), P_ordered_pair-{F}(V5,V4,V3) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #322: mergings( V2 == V3; #318 ), references = 3, size of lhs = 12:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), in-{F}(V5,V4), subset-{F}(V5,V6), in-{F}(V6,V4), P_ordered_pair-{F}(V5,V6,V7), in-{F}(V8,V4), P_ordered_pair-{F}(V8,V3,V7), in-{F}(V9,V8) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #324: mergings( V2 == V6; #319 ), references = 3, size of lhs = 15:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_powerset-{F}(V2,V4), P_powerset-{F}(V5,V4), in-{F}(V5,V6), in-{F}(V7,V6), subset-{F}(V7,V8), in-{F}(V8,V6), P_ordered_pair-{F}(V7,V8,V9), in-{F}(V10,V6), P_ordered_pair-{F}(V10,V5,V9), in-{F}(V11,V10) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #357: exists( #35, #351 ), references = 1, size of lhs = 3:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), pppp22-{F}(V2,V1) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #358: exists( #35, #352 ), references = 1, size of lhs = 6:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), pppp22-{F}(V3,V2), P_empty_set-{F}(V4) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #359: exists( #35, #353 ), references = 1, size of lhs = 5:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp22-{F}(V4,V3) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #363: disj( #34, exists( #35, #351 ) ), references = 2, size of lhs = 3:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | pppp2-{T}(V2,V1)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #364: disj( #34, exists( #35, #352 ) ), references = 1, size of lhs = 6:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), #-{F} V4 | pppp2-{T}(V4,V2)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #365: disj( #34, exists( #35, #353 ) ), references = 1, size of lhs = 5:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), #-{F} V4 | pppp2-{T}(V4,V3)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #388: exists( #114, #386 ), references = 1, size of lhs = 3:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), pppp20-{F}(V1) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #418: disj( #34, #32+#17+#107 ), references = 2, size of lhs = 4:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), pppp20-{F}(V2), P_inclusion_relation-{F}(V2,V0) | pppp22-{T}(V0,V1)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #433: mergings( V2 == V3; #430 ), references = 3, size of lhs = 5:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #435: mergings( V2 == V6; #431 ), references = 2, size of lhs = 8:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_powerset-{F}(V2,V4), element-{F}(V5,V4), V5 == V3 | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #506: mergings( V3 == V4; #503 ), references = 1, size of lhs = 4:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp22-{F}(V3,V2) | pppp7-{T}(V3,V2,V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #508: mergings( V3 == V7; #504 ), references = 1, size of lhs = 7:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_powerset-{F}(V2,V4), pppp22-{F}(V5,V4) | pppp7-{T}(V5,V4,V3)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #554: disj( #23, input ), references = 1, size of lhs = 4:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_inclusion_relation-{F}(V1,V2), V0 == V2 | pppp21-{T}(V1,V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #581: exists( #24, #575 ), references = 1, size of lhs = 3:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), pppp21-{F}(V1,V2) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #582: exists( #24, #576 ), references = 1, size of lhs = 6:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), pppp21-{F}(V2,V3), P_empty_set-{F}(V4) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #584: mergings( V0 == V3; #580 ), references = 1, size of lhs = 5:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp21-{F}(V0,V3) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #589: exists( #114, #585 ), references = 1, size of lhs = 4:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2) | P_inclusion_relation-{T}(V1,V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #590: exists( #114, #586 ), references = 1, size of lhs = 7:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), relation-{F}(V2), P_relation_dom-{F}(V2,V1), P_relation_field-{F}(V2,V3), empty-{F}(V3), P_empty_set-{F}(V4) | P_inclusion_relation-{T}(V1,V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #637: exists( #115, #631 ), references = 4, size of lhs = 13:
% 86.87/87.02 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), in-{F}(V2,V3), subset-{F}(V2,V4), in-{F}(V4,V3), P_unordered_pair-{F}(V2,V4,V5), P_unordered_pair-{F}(V0,V6,V5), in-{F}(V7,V3), subset-{F}(V7,V8), V8 == V7, in-{F}(V8,V3), P_singleton-{F}(V8,V1), P_unordered_pair-{F}(V8,V7,V5) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #638: exists( #115, #632 ), references = 2, size of lhs = 16:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), in-{F}(V5,V4), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), subset-{F}(V5,V8), in-{F}(V8,V4), P_unordered_pair-{F}(V5,V8,V9), P_unordered_pair-{F}(V7,V10,V9), in-{F}(V11,V4), P_singleton-{F}(V11,V6), P_unordered_pair-{F}(V11,V3,V9), in-{F}(V12,V11) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #639: exists( #115, #633 ), references = 1, size of lhs = 19:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_powerset-{F}(V2,V4), P_powerset-{F}(V5,V4), in-{F}(V5,V6), in-{F}(V7,V6), P_singleton-{F}(V7,V8), P_singleton-{F}(V9,V8), subset-{F}(V7,V10), in-{F}(V10,V6), P_unordered_pair-{F}(V7,V10,V11), P_unordered_pair-{F}(V9,V12,V11), in-{F}(V13,V6), P_singleton-{F}(V13,V8), P_unordered_pair-{F}(V13,V5,V11), in-{F}(V14,V13) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #643: exists( #116, #634 ), references = 4, size of lhs = 9:
% 86.87/87.02 in-{F}(V0,V1), subset-{F}(V0,V2), V2 == V0, in-{F}(V2,V1), subset-{F}(V2,V3), in-{F}(V3,V1), P_unordered_pair-{F}(V2,V3,V4), P_unordered_pair-{F}(V2,V0,V4), P_unordered_pair-{F}(V2,V5,V4) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #644: exists( #116, #635 ), references = 2, size of lhs = 12:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), in-{F}(V5,V4), subset-{F}(V6,V5), in-{F}(V6,V4), P_unordered_pair-{F}(V6,V5,V7), P_unordered_pair-{F}(V6,V3,V7), P_unordered_pair-{F}(V6,V8,V7), in-{F}(V9,V6) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #645: exists( #116, #636 ), references = 2, size of lhs = 15:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_powerset-{F}(V2,V4), P_powerset-{F}(V5,V4), in-{F}(V5,V6), in-{F}(V7,V6), subset-{F}(V8,V7), in-{F}(V8,V6), P_unordered_pair-{F}(V8,V7,V9), P_unordered_pair-{F}(V8,V5,V9), P_unordered_pair-{F}(V8,V10,V9), in-{F}(V11,V8) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #741: exists( #114, #735 ), references = 4, size of lhs = 15:
% 86.87/87.02 in-{F}(V0,V1), subset-{F}(V0,V2), in-{F}(V2,V1), P_ordered_pair-{F}(V0,V2,V3), in-{F}(V4,V1), in-{F}(V5,V1), V4 == V5, P_ordered_pair-{F}(V5,V4,V3), in-{F}(V5,V6), in-{F}(V4,V6), subset-{F}(V4,V7), in-{F}(V7,V6), P_unordered_pair-{F}(V4,V7,V8), P_unordered_pair-{F}(V4,V5,V8), P_unordered_pair-{F}(V4,V9,V8) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #742: exists( #114, #736 ), references = 5, size of lhs = 15:
% 86.87/87.02 in-{F}(V0,V1), subset-{F}(V0,V2), in-{F}(V2,V1), P_ordered_pair-{F}(V0,V2,V3), in-{F}(V4,V1), in-{F}(V5,V1), V4 == V5, P_ordered_pair-{F}(V5,V4,V3), in-{F}(V5,V6), in-{F}(V4,V6), in-{F}(V7,V6), subset-{F}(V7,V8), in-{F}(V8,V6), P_ordered_pair-{F}(V7,V8,V9), P_ordered_pair-{F}(V4,V5,V9) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #743: exists( #114, #737 ), references = 1, size of lhs = 19:
% 86.87/87.02 in-{F}(V0,V1), subset-{F}(V0,V2), in-{F}(V2,V1), P_ordered_pair-{F}(V0,V2,V3), in-{F}(V4,V1), in-{F}(V5,V1), V4 == V5, P_ordered_pair-{F}(V5,V4,V3), in-{F}(V5,V6), in-{F}(V4,V6), in-{F}(V7,V6), P_singleton-{F}(V7,V8), P_singleton-{F}(V4,V8), P_singleton-{F}(V9,V8), subset-{F}(V7,V10), in-{F}(V10,V6), P_unordered_pair-{F}(V7,V10,V11), P_unordered_pair-{F}(V4,V5,V11), P_unordered_pair-{F}(V9,V12,V11) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #835: mergings( V1 == V3; #831 ), references = 1, size of lhs = 6:
% 86.87/87.02 in-{F}(V0,V1), P_relation_field-{F}(V2,V1), subset-{F}(V0,V3), in-{F}(V3,V1), P_ordered_pair-{F}(V0,V3,V4), in-{F}(V2,V4) | pppp21-{T}(V1,V2)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #837: mergings( V1 == V5; #832 ), references = 1, size of lhs = 13:
% 86.87/87.02 subset-{F}(V0,V0), P_ordered_pair-{F}(V0,V0,V1), P_ordered_pair-{F}(V2,V0,V1), V0 == V2, in-{F}(V2,V3), P_relation_field-{F}(V3,V4), P_unordered_pair-{F}(V0,V0,V5), P_unordered_pair-{F}(V0,V2,V5), P_unordered_pair-{F}(V0,V6,V5), in-{F}(V7,V4), subset-{F}(V7,V8), in-{F}(V8,V4), P_ordered_pair-{F}(V7,V8,V0) | pppp21-{T}(V4,V3)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #840: mergings( V1 == V5, V3 == V6; #833 ), references = 1, size of lhs = 11:
% 86.87/87.02 subset-{F}(V0,V0), P_ordered_pair-{F}(V0,V0,V1), P_ordered_pair-{F}(V2,V0,V1), V0 == V2, P_ordered_pair-{F}(V0,V2,V1), in-{F}(V2,V3), P_relation_field-{F}(V3,V4), in-{F}(V5,V4), subset-{F}(V5,V6), in-{F}(V6,V4), P_ordered_pair-{F}(V5,V6,V0) | pppp21-{T}(V4,V3)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #863: exists( #111, #861 ), references = 1, size of lhs = 6:
% 86.87/87.02 P_singleton-{F}(V0,V1), in-{F}(V0,V2), subset-{F}(V0,V3), V3 == V0, in-{F}(V3,V2), P_singleton-{F}(V3,V1) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #901: exists( #111, #644 ), references = 1, size of lhs = 8:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), subset-{F}(V5,V3), in-{F}(V5,V4), in-{F}(V6,V5) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #902: exists( #111, #645 ), references = 1, size of lhs = 11:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_powerset-{F}(V2,V4), P_powerset-{F}(V5,V4), in-{F}(V5,V6), subset-{F}(V7,V5), in-{F}(V7,V6), in-{F}(V8,V7) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #903: exists( #111, #638 ), references = 1, size of lhs = 9:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), subset-{F}(V5,V3), in-{F}(V5,V4), P_singleton-{F}(V5,V6), in-{F}(V7,V5) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1113: mergings( V3 == V4; #1111 ), references = 2, size of lhs = 15:
% 86.87/87.02 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp1-{F}(V2,V3), P_relation_field-{F}(V3,V4), subset-{F}(V1,V5), V1 == V5, in-{F}(V5,V2), element-{F}(V3,V6), in-{F}(V5,V7), in-{F}(V1,V7), P_ordered_pair-{F}(V5,V1,V8), in-{F}(V8,V9), V9 == V0, P_powerset-{F}(V9,V6), pppp2-{F}(V9,V7) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1228: mergings( V2 == V3, V3 == V4; #1223 ), references = 4, size of lhs = 12:
% 86.87/87.02 P_empty_set-{F}(V0), in-{F}(V1,V2), subset-{F}(V2,V3), in-{F}(V1,V4), in-{F}(V5,V4), V5 == V1, P_powerset-{F}(V5,V3), in-{F}(V6,V4), subset-{F}(V6,V7), in-{F}(V7,V4), P_ordered_pair-{F}(V6,V7,V8), P_ordered_pair-{F}(V5,V1,V8) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1232: mergings( V2 == V3, V3 == V4, V4 == V5; #1224 ), references = 1, size of lhs = 10:
% 86.87/87.02 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V2 == V0, in-{F}(V1,V2), subset-{F}(V1,V3), V1 == V3, in-{F}(V3,V4), subset-{F}(V4,V2), P_unordered_pair-{F}(V1,V3,V5), P_unordered_pair-{F}(V1,V6,V5) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1236: mergings( V2 == V3, V3 == V4, V4 == V5; #1225 ), references = 1, size of lhs = 14:
% 86.87/87.02 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V2 == V0, in-{F}(V1,V2), in-{F}(V3,V2), subset-{F}(V3,V4), V4 == V3, in-{F}(V4,V5), subset-{F}(V5,V2), P_singleton-{F}(V4,V6), P_singleton-{F}(V7,V6), P_unordered_pair-{F}(V4,V1,V8), P_unordered_pair-{F}(V4,V3,V8), P_unordered_pair-{F}(V7,V9,V8) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1305: mergings( V10 == V11, V3 == V4, V4 == V5; #1301 ), references = 1, size of lhs = 27:
% 86.87/87.02 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), in-{F}(V3,V4), pppp1-{F}(V4,V5), P_relation_field-{F}(V5,V6), in-{F}(V7,V4), V3 == V7, P_unordered_pair-{F}(V3,V7,V8), P_unordered_pair-{F}(V1,V9,V8), P_powerset-{F}(V7,V10), V10 == V0, in-{F}(V7,V10), pppp1-{F}(V10,V11), P_relation_field-{F}(V11,V12), element-{F}(V11,V13), P_ordered_pair-{F}(V7,V3,V14), in-{F}(V14,V15), V15 == V0, P_powerset-{F}(V15,V13), pppp2-{F}(V15,V10), P_singleton-{F}(V16,V2), in-{F}(V16,V17), pppp1-{F}(V17,V5), subset-{F}(V16,V18), in-{F}(V18,V17), P_unordered_pair-{F}(V16,V18,V8) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1393: mergings( V2 == V3; #1389 ), references = 4, size of lhs = 11:
% 86.87/87.02 P_empty_set-{F}(V0), in-{F}(V1,V2), subset-{F}(V1,V3), in-{F}(V3,V2), P_ordered_pair-{F}(V1,V3,V4), in-{F}(V5,V2), P_powerset-{F}(V5,V6), V6 == V0, in-{F}(V6,V7), in-{F}(V7,V2), P_ordered_pair-{F}(V7,V5,V4) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1396: mergings( V2 == V3, V3 == V4; #1390 ), references = 2, size of lhs = 18:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), V4 == V0, P_powerset-{F}(V5,V4), in-{F}(V5,V6), in-{F}(V7,V6), subset-{F}(V7,V8), in-{F}(V8,V6), P_ordered_pair-{F}(V7,V8,V9), subset-{F}(V10,V10), in-{F}(V10,V6), P_ordered_pair-{F}(V10,V5,V9), P_ordered_pair-{F}(V10,V10,V11), P_ordered_pair-{F}(V10,V3,V11), in-{F}(V12,V10) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1399: mergings( V2 == V3, V3 == V7; #1391 ), references = 2, size of lhs = 21:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_powerset-{F}(V2,V4), P_powerset-{F}(V5,V4), in-{F}(V5,V6), V6 == V3, P_powerset-{F}(V7,V6), in-{F}(V7,V8), in-{F}(V9,V8), subset-{F}(V9,V10), in-{F}(V10,V8), P_ordered_pair-{F}(V9,V10,V11), subset-{F}(V12,V12), in-{F}(V12,V8), P_ordered_pair-{F}(V12,V7,V11), P_ordered_pair-{F}(V12,V12,V13), P_ordered_pair-{F}(V12,V5,V13), in-{F}(V14,V12) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1508: exists( #115, #1502 ), references = 1, size of lhs = 12:
% 86.87/87.02 P_empty_set-{F}(V0), in-{F}(V1,V2), subset-{F}(V2,V3), P_powerset-{F}(V1,V3), in-{F}(V4,V2), subset-{F}(V4,V5), in-{F}(V5,V2), P_ordered_pair-{F}(V4,V5,V6), P_ordered_pair-{F}(V1,V7,V6), V1 == V7, P_ordered_pair-{F}(V8,V9,V7), pppp6-{F}(V2,V10,V9,V8) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1509: exists( #115, #1503 ), references = 1, size of lhs = 12:
% 86.87/87.02 subset-{F}(V0,V0), P_ordered_pair-{F}(V0,V0,V1), P_ordered_pair-{F}(V0,V2,V1), V2 == V0, in-{F}(V2,V3), subset-{F}(V2,V4), in-{F}(V4,V3), P_unordered_pair-{F}(V2,V4,V5), P_unordered_pair-{F}(V2,V0,V5), P_unordered_pair-{F}(V2,V6,V5), P_ordered_pair-{F}(V7,V8,V0), pppp6-{F}(V3,V9,V8,V7) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1510: exists( #115, #1504 ), references = 1, size of lhs = 12:
% 86.87/87.02 subset-{F}(V0,V0), P_ordered_pair-{F}(V0,V0,V1), P_ordered_pair-{F}(V0,V2,V1), V2 == V0, in-{F}(V2,V3), in-{F}(V4,V3), subset-{F}(V4,V5), in-{F}(V5,V3), P_ordered_pair-{F}(V4,V5,V6), P_ordered_pair-{F}(V2,V0,V6), P_ordered_pair-{F}(V7,V8,V0), pppp6-{F}(V3,V9,V8,V7) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1596: exists( #115, #1593 ), references = 2, size of lhs = 12:
% 86.87/87.02 P_empty_set-{F}(V0), in-{F}(V1,V2), subset-{F}(V2,V3), P_powerset-{F}(V1,V3), in-{F}(V4,V2), subset-{F}(V4,V5), in-{F}(V5,V2), P_ordered_pair-{F}(V4,V5,V6), P_ordered_pair-{F}(V1,V7,V6), V1 == V7, pppp6-{F}(V8,V2,V7,V9), P_ordered_pair-{F}(V9,V7,V10) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1689: exists( #115, #1683 ), references = 1, size of lhs = 9:
% 86.87/87.02 in-{F}(V0,V1), pppp2-{F}(V2,V1), in-{F}(V3,V2), P_ordered_pair-{F}(V4,V0,V3), V4 == V0, P_ordered_pair-{F}(V0,V4,V5), in-{F}(V5,V2), pppp6-{F}(V6,V1,V4,V7), P_ordered_pair-{F}(V7,V4,V8) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1691: mergings( V3 == V6; #1687 ), references = 1, size of lhs = 8:
% 86.87/87.02 subset-{F}(V0,V0), P_ordered_pair-{F}(V0,V0,V1), P_ordered_pair-{F}(V0,V2,V1), V2 == V0, P_ordered_pair-{F}(V2,V0,V1), in-{F}(V2,V3), pppp6-{F}(V4,V3,V0,V5), P_ordered_pair-{F}(V5,V0,V6) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1692: exists( #115, #1684 ), references = 1, size of lhs = 10:
% 86.87/87.02 subset-{F}(V0,V0), P_ordered_pair-{F}(V0,V0,V1), P_ordered_pair-{F}(V2,V0,V1), V0 == V2, in-{F}(V2,V3), P_unordered_pair-{F}(V0,V0,V4), P_unordered_pair-{F}(V0,V2,V4), P_unordered_pair-{F}(V0,V5,V4), pppp6-{F}(V6,V3,V0,V7), P_ordered_pair-{F}(V7,V0,V8) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1696: exists( #115, #1686 ), references = 1, size of lhs = 8:
% 86.87/87.02 in-{F}(V0,V1), pppp2-{F}(V2,V1), in-{F}(V3,V2), P_ordered_pair-{F}(V4,V0,V3), V4 == V0, P_ordered_pair-{F}(V0,V4,V5), in-{F}(V5,V2), pppp6-{F}(V6,V1,V4,V7) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1718: exists( #115, #1716 ), references = 1, size of lhs = 3:
% 86.87/87.02 in-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V1), pppp6-{F}(V0,V4,V3,V2) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1732: mergings( V10 == V11, V11 == V13; #1728 ), references = 1, size of lhs = 13:
% 86.87/87.02 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp1-{F}(V2,V3), P_relation_field-{F}(V3,V4), subset-{F}(V2,V5), in-{F}(V6,V2), P_powerset-{F}(V6,V5), P_ordered_pair-{F}(V1,V7,V8), V6 == V7, P_ordered_pair-{F}(V6,V7,V8), P_ordered_pair-{F}(V9,V7,V8), pppp6-{F}(V10,V2,V7,V9), pppp6-{F}(V3,V11,V7,V9) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1735: mergings( V10 == V11, V11 == V14; #1729 ), references = 1, size of lhs = 15:
% 86.87/87.02 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp1-{F}(V2,V3), P_relation_field-{F}(V3,V4), in-{F}(V5,V2), subset-{F}(V2,V6), P_powerset-{F}(V5,V6), P_ordered_pair-{F}(V1,V7,V8), P_ordered_pair-{F}(V5,V9,V8), V5 == V9, P_ordered_pair-{F}(V10,V7,V8), pppp6-{F}(V11,V2,V7,V10), pppp6-{F}(V3,V12,V7,V10), pppp6-{F}(V13,V2,V9,V14), P_ordered_pair-{F}(V14,V9,V15) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1738: exists( #115, #1728 ), references = 1, size of lhs = 9:
% 86.87/87.02 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), P_relation_field-{F}(V2,V3), subset-{F}(V1,V4), in-{F}(V5,V1), P_powerset-{F}(V5,V4), pppp6-{F}(V6,V1,V7,V5), V5 == V7, pppp6-{F}(V2,V8,V7,V5) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1739: exists( #115, #1729 ), references = 1, size of lhs = 10:
% 86.87/87.02 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), P_relation_field-{F}(V2,V3), subset-{F}(V1,V4), in-{F}(V5,V1), P_powerset-{F}(V5,V4), pppp6-{F}(V6,V1,V7,V5), V5 == V7, pppp6-{F}(V2,V8,V7,V5), pppp6-{F}(V9,V1,V7,V5) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1742: exists( #36, #1736 ), references = 1, size of lhs = 7:
% 86.87/87.02 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp7-{F}(V2,V1,V3), in-{F}(V3,V1), P_relation_field-{F}(V2,V4), subset-{F}(V1,V5), P_powerset-{F}(V3,V5) | pppp6-{T}(V2,V1,V3,V3)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1743: exists( #36, #1737 ), references = 1, size of lhs = 7:
% 86.87/87.02 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp7-{F}(V2,V1,V3), in-{F}(V3,V1), P_relation_field-{F}(V2,V4), subset-{F}(V1,V5), P_powerset-{F}(V3,V5) | pppp6-{T}(V2,V1,V3,V3)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #1746: exists( #115, #38 ), references = 2, size of lhs = 1:
% 86.87/87.02 pppp6-{F}(V0,V1,V2,V2) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2005: exists( #114, #1999 ), references = 2, size of lhs = 15:
% 86.87/87.02 P_empty_set-{F}(V0), subset-{F}(V1,V1), P_ordered_pair-{F}(V1,V1,V2), P_powerset-{F}(V1,V3), V3 == V0, in-{F}(V3,V4), P_ordered_pair-{F}(V4,V1,V2), in-{F}(V5,V6), subset-{F}(V5,V7), in-{F}(V7,V6), P_ordered_pair-{F}(V5,V7,V1), in-{F}(V8,V6), subset-{F}(V8,V9), in-{F}(V9,V6), P_ordered_pair-{F}(V8,V9,V4) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2007: mergings( V9 == V10; #2003 ), references = 2, size of lhs = 20:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), V4 == V0, P_powerset-{F}(V5,V4), subset-{F}(V6,V6), P_ordered_pair-{F}(V6,V5,V7), P_ordered_pair-{F}(V6,V6,V7), P_ordered_pair-{F}(V6,V3,V7), in-{F}(V8,V6), in-{F}(V9,V10), subset-{F}(V9,V11), in-{F}(V11,V10), P_ordered_pair-{F}(V9,V11,V5), in-{F}(V12,V10), subset-{F}(V12,V13), in-{F}(V13,V10), P_ordered_pair-{F}(V12,V13,V6) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2009: mergings( V11 == V12; #2004 ), references = 2, size of lhs = 23:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_powerset-{F}(V2,V4), P_powerset-{F}(V5,V4), in-{F}(V5,V6), V6 == V3, P_powerset-{F}(V7,V6), subset-{F}(V8,V8), P_ordered_pair-{F}(V8,V7,V9), P_ordered_pair-{F}(V8,V8,V9), P_ordered_pair-{F}(V8,V5,V9), in-{F}(V10,V8), in-{F}(V11,V12), subset-{F}(V11,V13), in-{F}(V13,V12), P_ordered_pair-{F}(V11,V13,V7), in-{F}(V14,V12), subset-{F}(V14,V15), in-{F}(V15,V12), P_ordered_pair-{F}(V14,V15,V8) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2150: exists( #115, #2148 ), references = 2, size of lhs = 13:
% 86.87/87.02 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), in-{F}(V1,V3), subset-{F}(V1,V4), in-{F}(V4,V3), P_unordered_pair-{F}(V1,V4,V5), in-{F}(V6,V3), P_powerset-{F}(V6,V7), V7 == V0, in-{F}(V7,V8), P_singleton-{F}(V8,V2), in-{F}(V8,V3), P_unordered_pair-{F}(V8,V6,V5) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2159: exists( #115, #2157 ), references = 1, size of lhs = 19:
% 86.87/87.02 P_empty_set-{F}(V0), subset-{F}(V1,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_ordered_pair-{F}(V1,V1,V4), subset-{F}(V4,V4), P_ordered_pair-{F}(V4,V4,V5), P_powerset-{F}(V4,V6), V6 == V0, in-{F}(V6,V7), P_ordered_pair-{F}(V7,V4,V5), P_unordered_pair-{F}(V3,V8,V9), P_unordered_pair-{F}(V1,V10,V9), P_ordered_pair-{F}(V10,V1,V11), in-{F}(V12,V13), subset-{F}(V12,V14), in-{F}(V14,V13), P_ordered_pair-{F}(V12,V14,V7), pppp6-{F}(V15,V13,V1,V10) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2161: exists( #115, #2158 ), references = 1, size of lhs = 18:
% 86.87/87.02 P_empty_set-{F}(V0), subset-{F}(V1,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_ordered_pair-{F}(V1,V1,V4), subset-{F}(V4,V4), P_ordered_pair-{F}(V4,V4,V5), P_powerset-{F}(V4,V6), V6 == V0, in-{F}(V6,V7), P_ordered_pair-{F}(V7,V4,V5), P_unordered_pair-{F}(V3,V8,V9), P_unordered_pair-{F}(V1,V10,V9), in-{F}(V11,V12), subset-{F}(V11,V13), in-{F}(V13,V12), P_ordered_pair-{F}(V11,V13,V7), pppp6-{F}(V14,V12,V1,V10) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2179: exists( #115, #2175 ), references = 1, size of lhs = 20:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), V4 == V0, subset-{F}(V5,V5), P_ordered_pair-{F}(V5,V5,V6), P_powerset-{F}(V6,V4), subset-{F}(V7,V7), P_ordered_pair-{F}(V7,V6,V8), P_ordered_pair-{F}(V7,V7,V8), P_ordered_pair-{F}(V7,V3,V8), in-{F}(V9,V7), in-{F}(V10,V11), subset-{F}(V10,V12), in-{F}(V12,V11), P_ordered_pair-{F}(V10,V12,V7), pppp6-{F}(V13,V11,V5,V14), P_ordered_pair-{F}(V14,V5,V15) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2180: exists( #115, #2176 ), references = 1, size of lhs = 23:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_powerset-{F}(V2,V4), P_powerset-{F}(V5,V4), in-{F}(V5,V6), V6 == V3, subset-{F}(V7,V7), P_ordered_pair-{F}(V7,V7,V8), P_powerset-{F}(V8,V6), subset-{F}(V9,V9), P_ordered_pair-{F}(V9,V8,V10), P_ordered_pair-{F}(V9,V9,V10), P_ordered_pair-{F}(V9,V5,V10), in-{F}(V11,V9), in-{F}(V12,V13), subset-{F}(V12,V14), in-{F}(V14,V13), P_ordered_pair-{F}(V12,V14,V9), pppp6-{F}(V15,V13,V7,V16), P_ordered_pair-{F}(V16,V7,V17) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2183: exists( #115, #2177 ), references = 1, size of lhs = 19:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), V4 == V0, subset-{F}(V5,V5), P_ordered_pair-{F}(V5,V5,V6), P_powerset-{F}(V6,V4), subset-{F}(V7,V7), P_ordered_pair-{F}(V7,V6,V8), P_ordered_pair-{F}(V7,V7,V8), P_ordered_pair-{F}(V7,V3,V8), in-{F}(V9,V7), in-{F}(V10,V11), subset-{F}(V10,V12), in-{F}(V12,V11), P_ordered_pair-{F}(V10,V12,V7), pppp6-{F}(V13,V11,V5,V14) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2184: exists( #115, #2178 ), references = 1, size of lhs = 22:
% 86.87/87.02 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_powerset-{F}(V2,V4), P_powerset-{F}(V5,V4), in-{F}(V5,V6), V6 == V3, subset-{F}(V7,V7), P_ordered_pair-{F}(V7,V7,V8), P_powerset-{F}(V8,V6), subset-{F}(V9,V9), P_ordered_pair-{F}(V9,V8,V10), P_ordered_pair-{F}(V9,V9,V10), P_ordered_pair-{F}(V9,V5,V10), in-{F}(V11,V9), in-{F}(V12,V13), subset-{F}(V12,V14), in-{F}(V14,V13), P_ordered_pair-{F}(V12,V14,V9), pppp6-{F}(V15,V13,V7,V16) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2225: mergings( V13 == V15; #2222 ), references = 1, size of lhs = 14:
% 86.87/87.02 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), in-{F}(V4,V3), V4 == V0, P_powerset-{F}(V5,V4), P_unordered_pair-{F}(V3,V5,V6), P_unordered_pair-{F}(V1,V7,V6), in-{F}(V5,V8), pppp1-{F}(V8,V9), P_relation_field-{F}(V9,V10), pppp6-{F}(V11,V8,V3,V5), pppp6-{F}(V9,V12,V3,V5), P_ordered_pair-{F}(V5,V3,V13) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2229: mergings( V12 == V14, V16 == V18, V4 == V6; #2223 ), references = 1, size of lhs = 16:
% 86.87/87.02 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), in-{F}(V4,V3), V4 == V0, P_powerset-{F}(V5,V4), in-{F}(V5,V6), pppp1-{F}(V6,V7), P_relation_field-{F}(V7,V8), P_unordered_pair-{F}(V3,V5,V9), P_unordered_pair-{F}(V1,V10,V9), in-{F}(V11,V6), P_unordered_pair-{F}(V3,V11,V9), pppp6-{F}(V12,V6,V3,V11), pppp6-{F}(V7,V13,V3,V11), P_ordered_pair-{F}(V11,V3,V14) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2232: exists( #115, #2222 ), references = 1, size of lhs = 13:
% 86.87/87.02 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), in-{F}(V4,V3), V4 == V0, P_powerset-{F}(V5,V4), P_unordered_pair-{F}(V3,V5,V6), P_unordered_pair-{F}(V1,V7,V6), in-{F}(V5,V8), pppp1-{F}(V8,V9), P_relation_field-{F}(V9,V10), pppp6-{F}(V11,V8,V3,V5), pppp6-{F}(V9,V12,V3,V5) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2235: mergings( V12 == V13, V5 == V6; #2231 ), references = 1, size of lhs = 15:
% 86.87/87.02 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), in-{F}(V4,V3), V4 == V0, P_powerset-{F}(V5,V4), in-{F}(V5,V6), pppp1-{F}(V6,V7), P_relation_field-{F}(V7,V8), P_unordered_pair-{F}(V3,V5,V9), P_unordered_pair-{F}(V1,V10,V9), in-{F}(V11,V6), P_unordered_pair-{F}(V3,V11,V9), pppp6-{F}(V12,V6,V3,V11), pppp6-{F}(V7,V13,V3,V11) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2240: exists( #111, #2236 ), references = 1, size of lhs = 10:
% 86.87/87.02 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), in-{F}(V3,V1), V3 == V0, P_powerset-{F}(V4,V3), in-{F}(V4,V5), pppp1-{F}(V5,V6), P_relation_field-{F}(V6,V7), pppp6-{F}(V8,V5,V1,V4), pppp6-{F}(V6,V9,V1,V4) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2242: mergings( V4 == V5; #2239 ), references = 1, size of lhs = 10:
% 86.87/87.02 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), in-{F}(V3,V1), V3 == V0, P_powerset-{F}(V4,V3), in-{F}(V4,V5), pppp1-{F}(V5,V6), P_relation_field-{F}(V6,V7), pppp6-{F}(V8,V5,V1,V4), pppp6-{F}(V6,V9,V1,V4) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2245: exists( #116, #2238 ), references = 1, size of lhs = 9:
% 86.87/87.02 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, P_powerset-{F}(V3,V1), in-{F}(V3,V4), pppp1-{F}(V4,V5), P_relation_field-{F}(V5,V6), pppp6-{F}(V7,V4,V2,V3), pppp6-{F}(V5,V8,V2,V3) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2246: exists( #116, #2239 ), references = 1, size of lhs = 9:
% 86.87/87.02 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, P_powerset-{F}(V3,V1), in-{F}(V3,V4), pppp1-{F}(V4,V5), P_relation_field-{F}(V5,V6), pppp6-{F}(V7,V4,V2,V3), pppp6-{F}(V5,V8,V2,V3) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2434: exists( #115, #2432 ), references = 2, size of lhs = 9:
% 86.87/87.02 in-{F}(V0,V1), in-{F}(V2,V1), V2 == V0, P_ordered_pair-{F}(V2,V0,V3), P_ordered_pair-{F}(V0,V2,V4), in-{F}(V3,V5), pppp2-{F}(V5,V1), P_ordered_pair-{F}(V6,V7,V4), pppp6-{F}(V5,V8,V7,V6) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2444: exists( #115, #2441 ), references = 1, size of lhs = 13:
% 86.87/87.02 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), in-{F}(V2,V3), in-{F}(V4,V3), V2 == V4, P_unordered_pair-{F}(V2,V4,V5), P_ordered_pair-{F}(V4,V2,V6), pppp2-{F}(V7,V3), P_unordered_pair-{F}(V0,V8,V5), pppp6-{F}(V7,V9,V0,V8), P_ordered_pair-{F}(V8,V0,V10), P_ordered_pair-{F}(V11,V12,V6), pppp6-{F}(V7,V13,V12,V11) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2446: mergings( V8 == V12; #2443 ), references = 1, size of lhs = 12:
% 86.87/87.02 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), in-{F}(V2,V3), in-{F}(V4,V3), V2 == V4, P_unordered_pair-{F}(V2,V4,V5), P_ordered_pair-{F}(V4,V2,V6), pppp2-{F}(V7,V3), P_unordered_pair-{F}(V0,V8,V5), P_ordered_pair-{F}(V8,V0,V6), pppp6-{F}(V7,V9,V0,V8), pppp6-{F}(V7,V10,V0,V8) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2488: mergings( V9 == V10, V10 == V12, V12 == V15; #2482 ), references = 1, size of lhs = 12:
% 86.87/87.02 in-{F}(V0,V1), pppp1-{F}(V1,V2), P_relation_field-{F}(V2,V3), pppp1-{F}(V1,V4), P_relation_field-{F}(V4,V5), in-{F}(V6,V1), P_ordered_pair-{F}(V0,V7,V8), V6 == V7, P_ordered_pair-{F}(V6,V7,V8), pppp6-{F}(V9,V1,V7,V6), pppp6-{F}(V4,V10,V7,V6), pppp6-{F}(V2,V11,V7,V6) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2492: mergings( V9 == V10, V10 == V12, V12 == V15; #2483 ), references = 1, size of lhs = 12:
% 86.87/87.02 in-{F}(V0,V1), pppp1-{F}(V1,V2), P_relation_field-{F}(V2,V3), pppp1-{F}(V1,V4), P_relation_field-{F}(V4,V5), in-{F}(V6,V1), P_ordered_pair-{F}(V0,V7,V8), V7 == V6, P_ordered_pair-{F}(V6,V7,V8), pppp6-{F}(V9,V1,V7,V6), pppp6-{F}(V4,V10,V7,V6), pppp6-{F}(V2,V11,V7,V6) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2495: mergings( V12 == V8, V8 == V15; #2484 ), references = 1, size of lhs = 12:
% 86.87/87.02 pppp1-{F}(V0,V1), P_relation_field-{F}(V1,V2), pppp1-{F}(V0,V3), P_relation_field-{F}(V3,V4), in-{F}(V5,V0), P_unordered_pair-{F}(V5,V6,V7), V5 == V6, P_unordered_pair-{F}(V5,V8,V7), pppp6-{F}(V9,V0,V6,V5), pppp6-{F}(V3,V10,V6,V5), pppp6-{F}(V1,V11,V6,V5), P_ordered_pair-{F}(V5,V6,V12) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2499: exists( #115, #2482 ), references = 1, size of lhs = 9:
% 86.87/87.02 pppp1-{F}(V0,V1), P_relation_field-{F}(V1,V2), pppp1-{F}(V0,V3), P_relation_field-{F}(V3,V4), in-{F}(V5,V0), pppp6-{F}(V6,V0,V7,V5), V5 == V7, pppp6-{F}(V3,V8,V7,V5), pppp6-{F}(V1,V9,V7,V5) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2500: exists( #115, #2483 ), references = 1, size of lhs = 9:
% 86.87/87.02 pppp1-{F}(V0,V1), P_relation_field-{F}(V1,V2), pppp1-{F}(V0,V3), P_relation_field-{F}(V3,V4), in-{F}(V5,V0), pppp6-{F}(V6,V0,V7,V5), V7 == V5, pppp6-{F}(V3,V8,V7,V5), pppp6-{F}(V1,V9,V7,V5) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2504: mergings( V4 == V5; #2501 ), references = 1, size of lhs = 4:
% 86.87/87.02 P_relation_field-{F}(V0,V1), pppp1-{F}(V2,V0), pppp7-{F}(V0,V2,V3), in-{F}(V3,V2) | pppp6-{T}(V0,V2,V3,V3)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2509: mergings( V3 == V4; #2507 ), references = 2, size of lhs = 3:
% 86.87/87.02 pppp22-{F}(V0,V1), pppp1-{F}(V1,V0), P_relation_field-{F}(V0,V2) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2517: exists( #45, #2514 ), references = 1, size of lhs = 3:
% 86.87/87.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp8-{T}(V2,V0)
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2550: exists( #114, #2548 ), references = 1, size of lhs = 1:
% 86.87/87.02 pppp20-{F}(V0) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2552: exists( #106, #2549 ), references = 1, size of lhs = 1:
% 86.87/87.02 P_empty_set-{F}(V0) | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 #2554: exists( #119, #2551 ), references = 1, size of lhs = 0:
% 86.87/87.02 FALSE | FALSE
% 86.87/87.02 (used 0 times, uses = {})
% 86.87/87.02
% 86.87/87.02 number of learnt formulas = 121
% 86.87/87.02
% 86.87/87.02
% 86.87/87.02 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.87/87.02
% 86.87/87.02 randbase = 1
%------------------------------------------------------------------------------