TSTP Solution File: SEU220+3 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU220+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:17:31 EDT 2022
% Result : Theorem 224.78s 224.94s
% Output : Refutation 224.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU220+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 18:53:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 224.78/224.94 GeoParameters:
% 224.78/224.94
% 224.78/224.94 tptp_input = 1
% 224.78/224.94 tptp_output = 0
% 224.78/224.94 nonempty = 1
% 224.78/224.94 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 224.78/224.94 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 224.78/224.94
% 224.78/224.94
% 224.78/224.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 224.78/224.94 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 224.78/224.94
% 224.78/224.94 RuleSystem INPUT:
% 224.78/224.94
% 224.78/224.94 Initial Rules:
% 224.78/224.94 #0: input, references = 7, size of lhs = 2:
% 224.78/224.94 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 224.78/224.94 (used 0 times, uses = {})
% 224.78/224.94
% 224.78/224.94 #1: input, references = 3, size of lhs = 1:
% 224.78/224.94 empty-{F}(V0) | function-{T}(V0)
% 224.78/224.94 (used 0 times, uses = {})
% 224.78/224.94
% 224.78/224.94 #2: input, references = 3, size of lhs = 1:
% 224.78/224.94 empty-{F}(V0) | relation-{T}(V0)
% 224.78/224.94 (used 0 times, uses = {})
% 224.78/224.94
% 224.78/224.94 #3: input, references = 3, size of lhs = 3:
% 224.78/224.94 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 224.78/224.94 (used 0 times, uses = {})
% 224.78/224.94
% 224.78/224.94 #4: input, references = 6, size of lhs = 3:
% 224.78/224.94 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | relation-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #5: input, references = 4, size of lhs = 3:
% 224.78/224.95 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | function-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #6: input, references = 3, size of lhs = 3:
% 224.78/224.95 relation-{F}(V0), P_relation_composition-{F}(V1,V0,V2), relation-{F}(V1) | relation-{T}(V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #7: input, references = 6, size of lhs = 1:
% 224.78/224.95 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #8: input, references = 6, size of lhs = 1:
% 224.78/224.95 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #9: input, references = 4, size of lhs = 3:
% 224.78/224.95 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #10: input, references = 3, size of lhs = 3:
% 224.78/224.95 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #11: input, references = 3, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | empty-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #12: input, references = 3, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | relation-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #13: input, references = 3, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #14: input, references = 3, size of lhs = 6:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_composition-{F}(V2,V1,V3), relation-{F}(V2), function-{F}(V2) | relation-{T}(V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #15: input, references = 3, size of lhs = 6:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_composition-{F}(V2,V1,V3), relation-{F}(V2), function-{F}(V2) | function-{T}(V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #16: input, references = 3, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #17: input, references = 3, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | empty-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #18: input, references = 3, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | empty-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #19: input, references = 3, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | relation-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #20: input, references = 5, size of lhs = 4:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #21: input, references = 3, size of lhs = 4:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #22: input, references = 5, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #23: input, references = 3, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #24: input, references = 4, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #25: input, references = 3, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #26: input, references = 4, size of lhs = 4:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | empty-{T}(V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #27: input, references = 3, size of lhs = 4:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | relation-{T}(V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #28: input, references = 3, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #29: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp2-{F}(V0) | function-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #30: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp2-{F}(V0) | relation-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #31: input, references = 4, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #32: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp3-{F}(V0) | relation-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #33: input, references = 5, size of lhs = 1:
% 224.78/224.95 pppp3-{F}(V0) | empty-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #34: input, references = 4, size of lhs = 2:
% 224.78/224.95 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp18-{T}(V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #35: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp18-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #36: input, references = 3, size of lhs = 2:
% 224.78/224.95 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #37: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #38: input, references = 4, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #39: input, references = 5, size of lhs = 1:
% 224.78/224.95 pppp5-{F}(V0) | empty-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #40: input, references = 4, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #41: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp6-{F}(V0) | function-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #42: input, references = 5, size of lhs = 1:
% 224.78/224.95 pppp6-{F}(V0) | empty-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #43: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp6-{F}(V0) | relation-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #44: input, references = 3, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #45: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp7-{F}(V0) | relation-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #46: input, references = 3, size of lhs = 2:
% 224.78/224.95 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #47: input, references = 4, size of lhs = 2:
% 224.78/224.95 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V3,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #48: input, references = 5, size of lhs = 1:
% 224.78/224.95 pppp8-{F}(V0,V1) | empty-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #49: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #50: input, references = 3, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #51: input, references = 3, size of lhs = 2:
% 224.78/224.95 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #52: input, references = 3, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #53: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp10-{F}(V0) | one_to_one-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #54: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp10-{F}(V0) | function-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #55: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp10-{F}(V0) | relation-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #56: input, references = 3, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #57: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp11-{F}(V0) | relation_empty_yielding-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #58: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp11-{F}(V0) | relation-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #59: input, references = 3, size of lhs = 2:
% 224.78/224.95 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #60: input, references = 8, size of lhs = 2:
% 224.78/224.95 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #61: input, references = 33, size of lhs = 12:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), P_relation_composition-{F}(V1,V3,V4), relation-{F}(V3), function-{F}(V3), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V5,V7), P_apply-{F}(V3,V7,V8), in-{F}(V5,V2), V6 == V8 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #62: input, references = 4, size of lhs = 2:
% 224.78/224.95 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #63: input, references = 3, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #64: input, references = 3, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #65: input, references = 6, size of lhs = 4:
% 224.78/224.95 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #66: input, references = 4, size of lhs = 7:
% 224.78/224.95 P_empty_set-{F}(V0), P_function_inverse-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), relation-{F}(V2), function-{F}(V2) | pppp0-{T}(V1,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #67: input, references = 3, size of lhs = 9:
% 224.78/224.95 P_empty_set-{F}(V0), P_function_inverse-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), relation-{F}(V3), function-{F}(V3), pppp0-{F}(V1,V3), V3 == V2 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #68: input, references = 6, size of lhs = 5:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V1,V4), P_relation_dom-{F}(V1,V5), pppp0-{F}(V1,V2) | pppp12-{T}(V1,V2,V3,V4,V5)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #69: input, references = 5, size of lhs = 4:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), P_relation_rng-{F}(V1,V4), P_relation_dom-{F}(V1,V5) | pppp0-{T}(V1,V2), pppp19-{T}(V1,V2,V4,V5)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #70: input, references = 3, size of lhs = 1:
% 224.78/224.95 pppp19-{F}(V0,V1,V2,V3) | EXISTS V4: pppp15-{T}(V0,V1,V2,V3,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #71: input, references = 6, size of lhs = 1:
% 224.78/224.95 pppp15-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp14-{T}(V0,V1,V4,V5,V2,V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #72: input, references = 3, size of lhs = 4:
% 224.78/224.95 pppp14-{F}(V0,V1,V2,V6,V4,V5), P_apply-{F}(V1,V2,V6), P_apply-{F}(V0,V6,V7), in-{F}(V2,V4) | pppp13-{T}(V2,V6,V4,V5,V6,V7)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #73: input, references = 16, size of lhs = 4:
% 224.78/224.95 pppp14-{F}(V0,V1,V2,V3,V4,V5), P_apply-{F}(V1,V2,V6), P_apply-{F}(V0,V3,V7), V2 == V7 | pppp13-{T}(V2,V3,V4,V5,V6,V7)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #74: input, references = 4, size of lhs = 3:
% 224.78/224.95 pppp14-{F}(V0,V1,V2,V3,V4,V5), P_apply-{F}(V1,V2,V6), P_apply-{F}(V0,V3,V7) | pppp13-{T}(V2,V3,V4,V5,V6,V7), in-{T}(V3,V5)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #75: input, references = 6, size of lhs = 2:
% 224.78/224.95 pppp13-{F}(V5,V1,V2,V3,V4,V5), in-{F}(V1,V3) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #76: input, references = 9, size of lhs = 2:
% 224.78/224.95 pppp13-{F}(V0,V1,V2,V3,V4,V5), V1 == V4 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #77: input, references = 29, size of lhs = 1:
% 224.78/224.95 pppp13-{F}(V0,V1,V2,V3,V4,V5) | in-{T}(V0,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #78: input, references = 12, size of lhs = 5:
% 224.78/224.95 pppp12-{F}(V0,V1,V2,V3,V4), P_apply-{F}(V1,V8,V7), P_apply-{F}(V0,V6,V8), in-{F}(V6,V4), V6 == V7 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #79: input, references = 7, size of lhs = 4:
% 224.78/224.95 pppp12-{F}(V0,V1,V2,V3,V4), P_apply-{F}(V1,V8,V7), P_apply-{F}(V0,V6,V8), in-{F}(V6,V4) | in-{T}(V8,V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #80: input, references = 8, size of lhs = 5:
% 224.78/224.95 pppp12-{F}(V0,V1,V2,V3,V4), P_apply-{F}(V1,V5,V7), P_apply-{F}(V0,V7,V8), in-{F}(V5,V3), V5 == V8 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #81: input, references = 8, size of lhs = 4:
% 224.78/224.95 pppp12-{F}(V0,V1,V2,V3,V4), P_apply-{F}(V1,V5,V7), P_apply-{F}(V0,V7,V8), in-{F}(V5,V3) | in-{T}(V7,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #82: input, references = 3, size of lhs = 2:
% 224.78/224.95 pppp12-{F}(V0,V1,V2,V3,V4), V2 == V3 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #83: input, references = 6, size of lhs = 10:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V5), P_relation_rng-{F}(V3,V6), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), V2 == V4 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #84: input, references = 5, size of lhs = 10:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V5), P_relation_rng-{F}(V3,V6), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), V5 == V6 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #85: input, references = 4, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #86: input, references = 7, size of lhs = 4:
% 224.78/224.95 pppp17-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_composition-{F}(V2,V0,V3) | EXISTS V4: pppp16-{T}(V4,V0,V1,V2,V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #87: input, references = 6, size of lhs = 4:
% 224.78/224.95 pppp17-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_composition-{F}(V2,V0,V3) | one_to_one-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #88: input, references = 4, size of lhs = 4:
% 224.78/224.95 pppp17-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_composition-{F}(V2,V0,V3) | function-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #89: input, references = 4, size of lhs = 4:
% 224.78/224.95 pppp17-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_composition-{F}(V2,V0,V3) | relation-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #90: input, references = 8, size of lhs = 4:
% 224.78/224.95 pppp16-{F}(V7,V1,V2,V3,V4), P_apply-{F}(V3,V7,V5), P_apply-{F}(V1,V5,V7), P_apply-{F}(V4,V7,V7) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #91: input, references = 8, size of lhs = 4:
% 224.78/224.95 pppp16-{F}(V0,V1,V2,V3,V4), P_apply-{F}(V3,V0,V5), P_apply-{F}(V1,V5,V6), P_apply-{F}(V4,V0,V7) | in-{T}(V0,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #92: input, references = 5, size of lhs = 5:
% 224.78/224.95 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #93: input, references = 12, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #94: input, references = 4, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #95: input, references = 9, size of lhs = 4:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #96: input, references = 7, size of lhs = 1:
% 224.78/224.95 #-{F} V0 | EXISTS V1: P_function_inverse-{T}(V0,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #97: input, references = 10, size of lhs = 2:
% 224.78/224.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_composition-{T}(V0,V1,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #98: input, references = 4, size of lhs = 0:
% 224.78/224.95 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #99: input, references = 3, size of lhs = 1:
% 224.78/224.95 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #100: input, references = 11, size of lhs = 1:
% 224.78/224.95 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #101: input, references = 14, size of lhs = 1:
% 224.78/224.95 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #102: input, references = 60, size of lhs = 2:
% 224.78/224.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 number of initial rules = 103
% 224.78/224.95
% 224.78/224.95 Simplifiers:
% 224.78/224.95 #103: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 P_function_inverse-{F}(V0,V1), P_function_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #104: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 P_relation_composition-{F}(V0,V1,V2), P_relation_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #105: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #106: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #107: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #108: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #109: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #110: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #111: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #112: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #113: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #114: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #115: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #116: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #117: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #118: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #119: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #120: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #121: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V1,V7,V8,V9), V2 == V7 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #122: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V0,V6,V7,V8,V9), V3 == V8 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #123: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #124: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp14-{F}(V0,V1,V2,V3,V4,V5), pppp14-{F}(V0,V1,V2,V9,V4,V5), V3 == V9 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #125: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp14-{F}(V0,V1,V2,V3,V4,V5), pppp14-{F}(V0,V1,V8,V9,V4,V5), V2 == V8 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #126: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp14-{F}(V0,V1,V2,V3,V4,V5), pppp14-{F}(V6,V1,V8,V9,V10,V11), V4 == V10 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #127: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp14-{F}(V0,V1,V2,V3,V4,V5), pppp14-{F}(V0,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #128: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp14-{F}(V0,V1,V2,V3,V4,V5), pppp14-{F}(V0,V7,V8,V9,V10,V11), V5 == V11 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #129: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp15-{F}(V0,V1,V2,V3,V4), pppp15-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #130: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp15-{F}(V0,V1,V2,V3,V4), pppp15-{F}(V5,V1,V7,V8,V9), V2 == V7 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #131: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp15-{F}(V0,V1,V2,V3,V4), pppp15-{F}(V0,V6,V7,V8,V9), V2 == V7 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #132: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp15-{F}(V0,V1,V2,V3,V4), pppp15-{F}(V0,V6,V7,V8,V9), V3 == V8 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #133: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp16-{F}(V0,V1,V2,V3,V4), pppp16-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #134: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp16-{F}(V0,V1,V2,V3,V4), pppp16-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #135: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp16-{F}(V0,V1,V2,V3,V4), pppp16-{F}(V5,V1,V7,V8,V9), V2 == V7 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #136: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp16-{F}(V0,V1,V2,V3,V4), pppp16-{F}(V5,V1,V7,V8,V9), V3 == V8 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #137: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp16-{F}(V0,V1,V2,V3,V4), pppp16-{F}(V5,V1,V7,V3,V9), V4 == V9 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #138: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #139: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #140: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #141: unsound, references = 3, size of lhs = 3:
% 224.78/224.95 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 number of simplifiers = 39
% 224.78/224.95
% 224.78/224.95 Learnt:
% 224.78/224.95 #157: mergings( V3 == V4; #154 ), references = 1, size of lhs = 6:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), P_function_inverse-{F}(V1,V1), function-{F}(V1), one_to_one-{F}(V1), P_relation_dom-{F}(V1,V2) | P_relation_rng-{T}(V1,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #162: mergings( V0 == V3; #158 ), references = 4, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #165: mergings( V0 == V3, V2 == V3; #159 ), references = 1, size of lhs = 4:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #168: mergings( V0 == V3, V2 == V3; #160 ), references = 1, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #175: mergings( V0 == V2; #172 ), references = 1, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #177: mergings( V0 == V2; #173 ), references = 1, size of lhs = 2:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #186: mergings( V0 == V2; #183 ), references = 1, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #188: mergings( V0 == V2; #184 ), references = 1, size of lhs = 2:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #211: mergings( V2 == V3; #208 ), references = 1, size of lhs = 2:
% 224.78/224.95 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #213: mergings( V2 == V3; #209 ), references = 1, size of lhs = 3:
% 224.78/224.95 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #225: mergings( V0 == V6, V3 == V5; #221 ), references = 1, size of lhs = 10:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2), P_function_inverse-{F}(V0,V3), P_relation_dom-{F}(V3,V4), V2 == V4, P_relation_dom-{F}(V0,V5), P_relation_rng-{F}(V3,V6) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #228: mergings( V0 == V6, V3 == V5; #222 ), references = 3, size of lhs = 10:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2), P_function_inverse-{F}(V0,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V0,V5), P_relation_rng-{F}(V3,V6), V5 == V6 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #233: mergings( V4 == V0, V3 == V6; #229 ), references = 3, size of lhs = 9:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2), P_function_inverse-{F}(V0,V3), P_relation_dom-{F}(V3,V4), V2 == V4, P_relation_dom-{F}(V0,V5) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #238: exists( #97, #235 ), references = 1, size of lhs = 3:
% 224.78/224.95 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V0,V1,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #248: mergings( V0 == V2; #245 ), references = 1, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #250: mergings( V0 == V2; #246 ), references = 1, size of lhs = 2:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #271: mergings( V3 == V4; #269 ), references = 1, size of lhs = 3:
% 224.78/224.95 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V1,V0,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #281: mergings( V2 == V3; #279 ), references = 1, size of lhs = 2:
% 224.78/224.95 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #307: exists( #101, #83 ), references = 2, size of lhs = 9:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_relation_rng-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_dom-{F}(V3,V4), V2 == V4, P_relation_dom-{F}(V1,V5) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #308: exists( #101, #233 ), references = 1, size of lhs = 7:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4) | P_relation_rng-{T}(V0,V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #310: exists( #100, #304 ), references = 5, size of lhs = 7:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_relation_rng-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_dom-{F}(V1,V4) | P_relation_dom-{T}(V3,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #319: exists( #101, #84 ), references = 3, size of lhs = 9:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V1,V4), P_relation_rng-{F}(V2,V5), V4 == V5 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #320: exists( #101, #228 ), references = 3, size of lhs = 9:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V5), V4 == V5 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #323: exists( #100, #317 ), references = 1, size of lhs = 7:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4) | P_relation_dom-{T}(V1,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #324: exists( #100, #318 ), references = 1, size of lhs = 7:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4) | P_relation_dom-{T}(V0,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #353: mergings( V0 == V4; #350 ), references = 1, size of lhs = 2:
% 224.78/224.95 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V0,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #355: mergings( V0 == V4; #351 ), references = 1, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp8-{T}(V1,V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #372: exists( #101, #307 ), references = 1, size of lhs = 7:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V1,V4) | P_relation_rng-{T}(V1,V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #373: exists( #101, #319 ), references = 2, size of lhs = 7:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V1,V4) | P_relation_rng-{T}(V2,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #378: mergings( V0 == V3; #374 ), references = 1, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp18-{T}(V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #381: mergings( V0 == V3, V1 == V3; #375 ), references = 1, size of lhs = 4:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #384: mergings( V0 == V3, V1 == V3; #376 ), references = 1, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #437: exists( #102, #61 ), references = 7, size of lhs = 10:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V5,V7) | P_apply-{T}(V3,V7,V6)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #469: exists( #102, #463 ), references = 2, size of lhs = 4:
% 224.78/224.95 in-{F}(V0,V1), P_apply-{F}(V2,V1,V3), pppp16-{F}(V1,V4,V0,V2,V5), P_apply-{F}(V5,V1,V6) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #470: exists( #102, #464 ), references = 1, size of lhs = 5:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), P_apply-{F}(V2,V3,V4), pppp16-{F}(V3,V5,V1,V2,V6), P_apply-{F}(V6,V3,V7) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #473: exists( #102, #467 ), references = 1, size of lhs = 3:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), pppp16-{F}(V2,V3,V1,V4,V4) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #474: exists( #102, #466 ), references = 1, size of lhs = 2:
% 224.78/224.95 in-{F}(V0,V1), pppp16-{F}(V1,V2,V0,V3,V3) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #476: exists( #86, #472 ), references = 1, size of lhs = 6:
% 224.78/224.95 pppp17-{F}(V0), P_relation_rng-{F}(V0,V1), empty-{F}(V1), P_function_inverse-{F}(V0,V2), P_relation_composition-{F}(V2,V0,V2), P_empty_set-{F}(V3) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #487: mergings( V2 == V5, V5 == V6; #483 ), references = 1, size of lhs = 7:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_rng-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | P_function_inverse-{T}(V0,V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #490: mergings( V2 == V5, V5 == V6; #484 ), references = 1, size of lhs = 8:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_rng-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), empty-{F}(V4) | P_function_inverse-{T}(V0,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #498: exists( #102, #61 ), references = 14, size of lhs = 10:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V1,V5,V6), P_apply-{F}(V3,V6,V7) | P_apply-{T}(V4,V5,V7)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #504: exists( #102, #80 ), references = 5, size of lhs = 3:
% 224.78/224.95 in-{F}(V0,V1), P_apply-{F}(V2,V0,V3), pppp12-{F}(V4,V2,V5,V1,V6) | P_apply-{T}(V4,V3,V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #516: exists( #102, #513 ), references = 1, size of lhs = 12:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V1,V5,V6), in-{F}(V7,V8), P_apply-{F}(V9,V7,V5), pppp12-{F}(V9,V4,V10,V5,V8) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #524: mergings( V3 == V8; #522 ), references = 3, size of lhs = 18:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_apply-{F}(V0,V2,V3), P_empty_set-{F}(V4), relation-{F}(V5), function-{F}(V5), P_relation_composition-{F}(V0,V5,V6), P_relation_dom-{F}(V5,V7), in-{F}(V3,V7), relation-{F}(V8), function-{F}(V8), P_relation_composition-{F}(V5,V8,V9), P_apply-{F}(V9,V3,V10), V2 == V10, in-{F}(V2,V11), pppp12-{F}(V8,V6,V12,V11,V13) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #540: mergings( V3 == V8, V16 == V17, V15 == V13, V10 == V18; #534 ), references = 1, size of lhs = 21:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V3), in-{F}(V4,V1), P_apply-{F}(V0,V4,V5), P_empty_set-{F}(V6), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V8), relation-{F}(V9), function-{F}(V9), P_relation_composition-{F}(V7,V9,V10), P_apply-{F}(V9,V4,V11), V5 == V11, in-{F}(V4,V12), in-{F}(V5,V13), pppp12-{F}(V7,V3,V14,V12,V8), pppp12-{F}(V2,V10,V15,V16,V13) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #542: exists( #102, #524 ), references = 1, size of lhs = 16:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_apply-{F}(V0,V2,V3), P_empty_set-{F}(V4), relation-{F}(V5), function-{F}(V5), P_relation_composition-{F}(V0,V5,V6), P_relation_dom-{F}(V5,V7), in-{F}(V3,V7), relation-{F}(V8), function-{F}(V8), P_relation_composition-{F}(V5,V8,V9), in-{F}(V2,V10), pppp12-{F}(V8,V6,V11,V10,V12) | P_apply-{T}(V9,V3,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #559: mergings( V3 == V8, V8 == V13, V13 == V15, V4 == V14; #554 ), references = 2, size of lhs = 27:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), relation-{F}(V5), function-{F}(V5), P_relation_composition-{F}(V5,V0,V6), P_apply-{F}(V6,V4,V7), P_relation_composition-{F}(V1,V5,V8), P_relation_dom-{F}(V5,V9), in-{F}(V4,V9), P_empty_set-{F}(V10), relation-{F}(V11), function-{F}(V11), P_relation_composition-{F}(V5,V11,V12), P_apply-{F}(V12,V4,V13), P_relation_dom-{F}(V11,V14), relation-{F}(V15), function-{F}(V15), P_relation_composition-{F}(V11,V15,V0), P_apply-{F}(V15,V13,V16), V7 == V16, in-{F}(V3,V17), pppp12-{F}(V11,V8,V18,V17,V14) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #571: mergings( V0 == V5, V2 == V8, V4 == V7, V8 == V6; #565 ), references = 1, size of lhs = 8:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), P_relation_dom-{F}(V1,V3), P_relation_dom-{F}(V4,V2), in-{F}(V5,V3), P_apply-{F}(V1,V5,V6), P_apply-{F}(V4,V6,V7), V5 == V7 | pppp19-{T}(V1,V4,V2,V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #576: mergings( V0 == V5, V2 == V8, V4 == V7, V8 == V6; #566 ), references = 1, size of lhs = 8:
% 224.78/224.95 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), P_relation_dom-{F}(V1,V3), P_relation_dom-{F}(V4,V2), in-{F}(V5,V2), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V6,V7), V5 == V7 | pppp19-{T}(V1,V4,V2,V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #578: exists( #102, #524 ), references = 1, size of lhs = 16:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_apply-{F}(V0,V2,V3), P_empty_set-{F}(V4), relation-{F}(V5), function-{F}(V5), P_relation_composition-{F}(V0,V5,V6), P_relation_dom-{F}(V5,V7), in-{F}(V3,V7), relation-{F}(V8), function-{F}(V8), P_relation_composition-{F}(V5,V8,V9), in-{F}(V2,V10), pppp12-{F}(V8,V6,V11,V10,V12) | P_apply-{T}(V9,V3,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #604: exists( #102, #78 ), references = 7, size of lhs = 3:
% 224.78/224.95 in-{F}(V0,V1), P_apply-{F}(V2,V0,V3), pppp12-{F}(V2,V4,V5,V6,V1) | P_apply-{T}(V4,V3,V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #625: mergings( V3 == V5, V5 == V10, V10 == V12; #621 ), references = 2, size of lhs = 27:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_composition-{F}(V0,V2,V4), in-{F}(V5,V1), P_apply-{F}(V0,V5,V6), in-{F}(V6,V3), relation-{F}(V7), function-{F}(V7), P_empty_set-{F}(V8), relation-{F}(V9), function-{F}(V9), P_relation_composition-{F}(V2,V9,V10), P_apply-{F}(V10,V6,V11), P_relation_composition-{F}(V9,V7,V12), P_relation_dom-{F}(V9,V13), relation-{F}(V14), P_relation_composition-{F}(V9,V14,V12), function-{F}(V14), in-{F}(V5,V15), P_apply-{F}(V7,V11,V16), P_apply-{F}(V14,V11,V17), V16 == V17, pppp12-{F}(V9,V4,V18,V15,V13) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #654: mergings( V2 == V3; #652 ), references = 5, size of lhs = 5:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #666: mergings( V3 == V8, V8 == V9, V9 == V10, V16 == V17, V12 == V18, V14 == V13; #659 ), references = 1, size of lhs = 13:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V3), in-{F}(V4,V1), P_apply-{F}(V0,V4,V5), P_empty_set-{F}(V6), empty-{F}(V7), P_powerset-{F}(V7,V8), in-{F}(V4,V9), pppp12-{F}(V3,V10,V11,V8,V9) | P_apply-{T}(V2,V5,V6)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #668: exists( #102, #61 ), references = 1, size of lhs = 10:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V5,V7) | P_apply-{T}(V3,V7,V6)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #681: mergings( V3 == V4, V10 == V11, V6 == V12, V8 == V7; #676 ), references = 1, size of lhs = 5:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V3,V4), pppp12-{F}(V5,V6,V7,V2,V4) | P_apply-{T}(V5,V3,V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #694: exists( #102, #61 ), references = 1, size of lhs = 10:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V5,V7) | P_apply-{T}(V3,V7,V6)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #695: exists( #102, #559 ), references = 1, size of lhs = 25:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), relation-{F}(V5), function-{F}(V5), P_relation_composition-{F}(V5,V0,V6), P_apply-{F}(V6,V4,V7), P_relation_composition-{F}(V1,V5,V8), P_relation_dom-{F}(V5,V9), in-{F}(V4,V9), P_empty_set-{F}(V10), relation-{F}(V11), function-{F}(V11), P_relation_composition-{F}(V5,V11,V12), P_apply-{F}(V12,V4,V13), P_relation_dom-{F}(V11,V14), relation-{F}(V15), function-{F}(V15), P_relation_composition-{F}(V11,V15,V0), in-{F}(V3,V16), pppp12-{F}(V11,V8,V17,V16,V14) | P_apply-{T}(V15,V13,V7)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #696: exists( #102, #625 ), references = 1, size of lhs = 25:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_composition-{F}(V0,V2,V4), in-{F}(V5,V1), P_apply-{F}(V0,V5,V6), in-{F}(V6,V3), relation-{F}(V7), function-{F}(V7), P_empty_set-{F}(V8), relation-{F}(V9), function-{F}(V9), P_relation_composition-{F}(V2,V9,V10), P_apply-{F}(V10,V6,V11), P_relation_composition-{F}(V9,V7,V12), P_relation_dom-{F}(V9,V13), relation-{F}(V14), P_relation_composition-{F}(V9,V14,V12), function-{F}(V14), in-{F}(V5,V15), P_apply-{F}(V7,V11,V16), pppp12-{F}(V9,V4,V17,V15,V13) | P_apply-{T}(V14,V11,V16)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #749: exists( #102, #469 ), references = 1, size of lhs = 3:
% 224.78/224.95 in-{F}(V0,V1), P_apply-{F}(V2,V1,V3), pppp16-{F}(V1,V4,V0,V5,V2) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #783: exists( #102, #781 ), references = 3, size of lhs = 3:
% 224.78/224.95 P_apply-{F}(V0,V1,V2), pppp14-{F}(V3,V0,V1,V4,V5,V6), V4 == V2 | P_apply-{T}(V3,V4,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #864: disj( #74, input ), references = 19, size of lhs = 14:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V5,V7), P_apply-{F}(V3,V7,V8), V6 == V8, P_apply-{F}(V9,V5,V10), pppp14-{F}(V9,V11,V12,V5,V13,V2), P_apply-{F}(V11,V12,V14) | pppp13-{T}(V12,V5,V13,V2,V14,V10)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #867: exists( #102, #865 ), references = 5, size of lhs = 13:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), P_apply-{F}(V1,V5,V6), P_apply-{F}(V3,V6,V7), P_apply-{F}(V8,V5,V9), pppp14-{F}(V8,V10,V11,V5,V12,V2), P_apply-{F}(V10,V11,V13), V5 == V13 | P_apply-{T}(V4,V5,V7)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #875: mergings( V6 == V8, V13 == V14, V14 == V15; #871 ), references = 3, size of lhs = 15:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V2,V0,V3), P_relation_dom-{F}(V2,V4), relation-{F}(V5), function-{F}(V5), P_relation_composition-{F}(V2,V5,V3), P_apply-{F}(V0,V6,V7), P_apply-{F}(V5,V6,V8), V7 == V8, pppp15-{F}(V2,V9,V10,V4,V6), P_apply-{F}(V9,V6,V11) | pppp14-{T}(V2,V9,V6,V11,V10,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #938: exists( #102, #933 ), references = 4, size of lhs = 7:
% 224.78/224.95 P_apply-{F}(V0,V1,V2), P_apply-{F}(V3,V2,V4), pppp16-{F}(V1,V3,V5,V0,V6), P_apply-{F}(V7,V1,V8), P_apply-{F}(V9,V8,V10), V1 == V10, pppp12-{F}(V9,V7,V11,V5,V12) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #939: exists( #102, #932 ), references = 3, size of lhs = 7:
% 224.78/224.95 P_apply-{F}(V0,V1,V2), P_apply-{F}(V3,V2,V4), P_apply-{F}(V5,V1,V6), P_apply-{F}(V7,V6,V8), V1 == V8, pppp16-{F}(V1,V3,V9,V0,V10), pppp12-{F}(V5,V7,V11,V12,V9) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #963: mergings( V10 == V11; #960 ), references = 1, size of lhs = 19:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V2,V0,V3), P_relation_dom-{F}(V2,V4), relation-{F}(V5), function-{F}(V5), P_relation_composition-{F}(V2,V5,V3), P_apply-{F}(V5,V6,V7), P_apply-{F}(V8,V6,V9), P_apply-{F}(V2,V9,V10), V6 == V10, pppp15-{F}(V2,V8,V11,V4,V6), P_apply-{F}(V12,V6,V13), P_apply-{F}(V14,V13,V15), V6 == V15, pppp12-{F}(V12,V14,V16,V17,V11) | P_apply-{T}(V0,V6,V7)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #966: mergings( V3 == V8, V15 == V19; #961 ), references = 1, size of lhs = 25:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_composition-{F}(V1,V0,V2), P_relation_dom-{F}(V1,V3), relation-{F}(V4), function-{F}(V4), P_relation_composition-{F}(V1,V4,V2), P_empty_set-{F}(V5), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V7), relation-{F}(V8), function-{F}(V8), P_relation_composition-{F}(V6,V8,V9), pppp15-{F}(V1,V10,V7,V3,V11), P_apply-{F}(V4,V11,V12), P_apply-{F}(V9,V11,V13), P_apply-{F}(V6,V11,V14), P_apply-{F}(V8,V14,V15), V13 == V15, P_apply-{F}(V10,V11,V16), P_apply-{F}(V1,V16,V17), V11 == V17 | P_apply-{T}(V0,V11,V12)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #978: mergings( V9 == V10; #976 ), references = 4, size of lhs = 11:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V1), P_apply-{F}(V3,V4,V5), V4 == V5, pppp15-{F}(V1,V6,V7,V2,V4), P_apply-{F}(V6,V4,V8) | pppp14-{T}(V1,V6,V4,V8,V7,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #987: mergings( V8 == V9, V9 == V10; #983 ), references = 1, size of lhs = 17:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V1), P_apply-{F}(V3,V4,V5), V4 == V5, P_apply-{F}(V6,V4,V7), P_apply-{F}(V1,V7,V8), V4 == V8, pppp15-{F}(V1,V6,V9,V2,V4), P_apply-{F}(V10,V4,V11), P_apply-{F}(V12,V11,V13), V4 == V13, pppp12-{F}(V10,V12,V14,V15,V9) | pppp14-{T}(V1,V6,V4,V7,V9,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #991: mergings( V0 == V10, V8 == V9, V9 == V17; #984 ), references = 2, size of lhs = 23:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V0), P_empty_set-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), relation-{F}(V6), function-{F}(V6), P_relation_composition-{F}(V4,V6,V7), pppp15-{F}(V0,V8,V5,V1,V9), P_apply-{F}(V2,V9,V10), V9 == V10, P_apply-{F}(V7,V9,V11), P_apply-{F}(V4,V9,V12), P_apply-{F}(V6,V12,V13), V11 == V13, P_apply-{F}(V8,V9,V14), P_apply-{F}(V0,V14,V15), V9 == V15 | pppp14-{T}(V0,V8,V9,V14,V5,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1004: mergings( V7 == V8, V10 == V12, V8 == V9, V9 == V11; #998 ), references = 4, size of lhs = 19:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V1), P_apply-{F}(V1,V4,V5), P_apply-{F}(V6,V7,V4), V7 == V5, pppp15-{F}(V1,V6,V8,V2,V7), P_apply-{F}(V9,V7,V10), P_apply-{F}(V11,V10,V12), V7 == V12, pppp12-{F}(V9,V11,V13,V14,V8), P_apply-{F}(V15,V7,V16), P_apply-{F}(V17,V16,V18), V7 == V18, pppp12-{F}(V15,V17,V19,V20,V8) | P_apply-{T}(V3,V7,V7)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1010: mergings( V3 == V6, V12 == V13, V13 == V14, V14 == V19, V15 == V20; #999 ), references = 1, size of lhs = 25:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V0), P_empty_set-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), relation-{F}(V6), function-{F}(V6), P_relation_composition-{F}(V4,V6,V7), pppp15-{F}(V0,V8,V5,V1,V9), P_apply-{F}(V7,V9,V10), P_apply-{F}(V4,V9,V11), P_apply-{F}(V6,V11,V12), V10 == V12, P_apply-{F}(V8,V9,V13), P_apply-{F}(V0,V13,V14), V9 == V14, P_apply-{F}(V15,V9,V16), P_apply-{F}(V17,V16,V18), V9 == V18, pppp12-{F}(V15,V17,V19,V20,V5) | P_apply-{T}(V2,V9,V9)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1020: mergings( V13 == V16; #1016 ), references = 1, size of lhs = 16:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V1), P_apply-{F}(V4,V5,V5), P_apply-{F}(V6,V5,V5), pppp16-{F}(V5,V4,V7,V3,V6), P_apply-{F}(V8,V5,V9), P_apply-{F}(V10,V5,V9), P_apply-{F}(V11,V5,V9), pppp15-{F}(V1,V8,V12,V2,V5), pppp12-{F}(V10,V1,V13,V14,V12), pppp12-{F}(V11,V1,V13,V15,V12) | P_apply-{T}(V1,V9,V5)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1023: mergings( V10 == V13, V13 == V20; #1017 ), references = 2, size of lhs = 17:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V1), P_apply-{F}(V4,V5,V6), P_apply-{F}(V7,V5,V6), P_apply-{F}(V8,V5,V6), P_apply-{F}(V9,V5,V6), pppp15-{F}(V1,V4,V10,V2,V5), pppp12-{F}(V7,V1,V11,V12,V10), pppp12-{F}(V8,V1,V11,V13,V10), P_apply-{F}(V14,V5,V15), pppp12-{F}(V9,V1,V11,V16,V17), pppp16-{F}(V5,V14,V17,V3,V18) | P_apply-{T}(V1,V6,V5)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1025: mergings( V9 == V12; #1018 ), references = 1, size of lhs = 16:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V1), P_apply-{F}(V4,V5,V5), P_apply-{F}(V6,V5,V5), P_apply-{F}(V7,V5,V5), pppp15-{F}(V1,V4,V8,V2,V5), pppp12-{F}(V6,V1,V9,V10,V8), pppp12-{F}(V7,V1,V9,V11,V8), P_apply-{F}(V12,V5,V13), pppp16-{F}(V5,V12,V14,V3,V15), pppp12-{F}(V1,V3,V16,V14,V17) | P_apply-{T}(V1,V5,V5)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1034: mergings( V3 == V6, V6 == V9, V15 == V18; #1030 ), references = 1, size of lhs = 26:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V1), relation-{F}(V3), P_relation_composition-{F}(V0,V3,V0), function-{F}(V3), P_relation_composition-{F}(V2,V3,V4), P_empty_set-{F}(V5), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V7), relation-{F}(V8), function-{F}(V8), P_relation_composition-{F}(V6,V8,V9), pppp15-{F}(V0,V10,V7,V1,V11), P_apply-{F}(V10,V11,V12), P_apply-{F}(V2,V12,V11), P_apply-{F}(V4,V12,V13), P_apply-{F}(V0,V12,V14), P_apply-{F}(V9,V11,V15), P_apply-{F}(V6,V11,V16), P_apply-{F}(V8,V16,V17), V15 == V17 | P_apply-{T}(V3,V11,V11), P_apply-{T}(V3,V11,V13)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1039: mergings( V0 == V3, V3 == V7, V14 == V17; #1035 ), references = 1, size of lhs = 31:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V1), relation-{F}(V3), P_relation_composition-{F}(V0,V3,V0), function-{F}(V3), P_relation_composition-{F}(V2,V3,V4), P_empty_set-{F}(V5), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V7), relation-{F}(V8), function-{F}(V8), P_relation_composition-{F}(V6,V8,V9), pppp15-{F}(V0,V10,V7,V1,V11), P_apply-{F}(V10,V11,V12), P_apply-{F}(V2,V12,V11), P_apply-{F}(V4,V12,V13), P_apply-{F}(V0,V12,V14), P_apply-{F}(V9,V11,V15), P_apply-{F}(V6,V11,V16), P_apply-{F}(V8,V16,V17), V15 == V17, P_apply-{F}(V18,V11,V19), pppp16-{F}(V11,V18,V20,V3,V21), P_apply-{F}(V22,V11,V23), V11 == V23, pppp12-{F}(V22,V3,V24,V20,V25) | P_apply-{T}(V3,V11,V13)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1060: mergings( V3 == V5, V5 == V6, V6 == V8, V11 == V12, V22 == V26, V15 == V16, V16 == V17, V17 == V20, V20 == V24, V13 == V18, V18 == V23, V23 == V27, V9 == V27, V27 == V24, V4 == V7, V19 == V21, V21 == V25; #1042 ), references = 1, size of lhs = 15:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), relation-{F}(V4), P_relation_composition-{F}(V4,V0,V4), function-{F}(V4), P_relation_composition-{F}(V2,V4,V2), P_relation_dom-{F}(V4,V5), pppp15-{F}(V4,V2,V3,V5,V6), pppp12-{F}(V2,V4,V7,V3,V3), pppp16-{F}(V6,V2,V3,V0,V8), pppp12-{F}(V2,V0,V9,V3,V3) | P_apply-{T}(V2,V6,V6)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1163: exists( #102, #939 ), references = 1, size of lhs = 6:
% 224.78/224.95 P_apply-{F}(V0,V1,V2), P_apply-{F}(V3,V1,V4), P_apply-{F}(V5,V4,V6), V1 == V6, pppp12-{F}(V3,V5,V7,V8,V9), pppp16-{F}(V1,V10,V9,V0,V11) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1164: exists( #102, #938 ), references = 5, size of lhs = 4:
% 224.78/224.95 P_apply-{F}(V0,V1,V2), P_apply-{F}(V3,V1,V2), pppp16-{F}(V1,V4,V5,V0,V6), pppp12-{F}(V4,V3,V7,V5,V8) | P_apply-{T}(V4,V2,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1166: exists( #102, #1162 ), references = 2, size of lhs = 5:
% 224.78/224.95 P_apply-{F}(V0,V1,V2), P_apply-{F}(V3,V2,V4), V1 == V4, pppp12-{F}(V0,V3,V5,V6,V7), pppp16-{F}(V1,V8,V7,V9,V10) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1172: mergings( V4 == V10, V8 == V11; #1169 ), references = 1, size of lhs = 12:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), P_apply-{F}(V4,V5,V6), V6 == V5, pppp16-{F}(V5,V3,V2,V1,V7), P_apply-{F}(V7,V5,V8), pppp12-{F}(V3,V1,V9,V2,V10) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1176: mergings( V5 == V7, V0 == V8; #1173 ), references = 3, size of lhs = 9:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), pppp16-{F}(V5,V3,V2,V1,V4), pppp12-{F}(V3,V1,V6,V2,V7) | P_apply-{T}(V4,V5,V5)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1269: exists( #102, #1166 ), references = 1, size of lhs = 3:
% 224.78/224.95 P_apply-{F}(V0,V1,V2), pppp12-{F}(V0,V3,V4,V5,V6), pppp16-{F}(V1,V7,V6,V8,V9) | P_apply-{T}(V3,V2,V1)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1276: mergings( V5 == V7, V1 == V8, V6 == V8; #1272 ), references = 1, size of lhs = 11:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V1), P_relation_composition-{F}(V2,V0,V0), P_empty_set-{F}(V3), pppp12-{F}(V0,V2,V4,V1,V1) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1302: mergings( V5 == V7, V6 == V8; #1299 ), references = 1, size of lhs = 11:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V1), P_relation_composition-{F}(V2,V0,V2), P_empty_set-{F}(V3), pppp12-{F}(V0,V2,V4,V1,V5) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1305: mergings( V0 == V5; #1303 ), references = 1, size of lhs = 11:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_relation_rng-{F}(V1,V2), P_relation_dom-{F}(V1,V3), P_function_inverse-{F}(V1,V4), relation-{F}(V5), V5 == V4, P_relation_dom-{F}(V5,V2), function-{F}(V5) | pppp19-{T}(V1,V5,V2,V3)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1314: mergings( V3 == V8, V8 == V13, V21 == V23; #1310 ), references = 2, size of lhs = 28:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_apply-{F}(V0,V2,V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), relation-{F}(V6), function-{F}(V6), P_relation_composition-{F}(V0,V6,V7), P_relation_composition-{F}(V4,V6,V8), in-{F}(V9,V5), P_apply-{F}(V4,V9,V3), P_empty_set-{F}(V10), relation-{F}(V11), function-{F}(V11), P_relation_dom-{F}(V11,V12), in-{F}(V2,V12), relation-{F}(V13), function-{F}(V13), P_relation_composition-{F}(V11,V13,V7), P_apply-{F}(V11,V2,V14), V14 == V9, in-{F}(V14,V15), in-{F}(V9,V16), pppp12-{F}(V8,V17,V18,V19,V16), pppp12-{F}(V13,V17,V18,V20,V15) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1321: mergings( V3 == V8, V16 == V18; #1318 ), references = 1, size of lhs = 20:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_apply-{F}(V0,V2,V3), P_empty_set-{F}(V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V6), relation-{F}(V7), function-{F}(V7), P_relation_composition-{F}(V0,V7,V8), P_relation_composition-{F}(V5,V7,V9), in-{F}(V10,V6), V10 == V2, P_apply-{F}(V5,V10,V3), in-{F}(V10,V11), in-{F}(V2,V12), pppp12-{F}(V8,V13,V14,V15,V12), pppp12-{F}(V9,V13,V14,V16,V11) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1343: mergings( V11 == V12, V3 == V13, V8 == V9, V9 == V14, V20 == V22, V21 == V23, V17 == V18; #1335 ), references = 1, size of lhs = 24:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V3), relation-{F}(V3), function-{F}(V3), in-{F}(V4,V1), P_apply-{F}(V0,V4,V5), relation-{F}(V6), function-{F}(V6), P_relation_composition-{F}(V3,V6,V7), P_empty_set-{F}(V8), P_relation_dom-{F}(V3,V9), in-{F}(V4,V9), relation-{F}(V10), function-{F}(V10), P_relation_composition-{F}(V3,V10,V7), in-{F}(V4,V11), in-{F}(V4,V12), pppp12-{F}(V7,V13,V14,V15,V11), pppp12-{F}(V10,V13,V14,V16,V17), pppp12-{F}(V3,V18,V19,V17,V12) | P_apply-{T}(V2,V5,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1401: mergings( V5 == V10, V18 == V23, V19 == V24; #1397 ), references = 2, size of lhs = 31:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V0), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), relation-{F}(V5), function-{F}(V5), P_relation_composition-{F}(V3,V5,V6), P_empty_set-{F}(V7), relation-{F}(V8), function-{F}(V8), P_relation_dom-{F}(V8,V4), relation-{F}(V9), function-{F}(V9), P_relation_composition-{F}(V8,V9,V10), pppp15-{F}(V0,V11,V4,V1,V12), P_apply-{F}(V6,V12,V13), P_apply-{F}(V3,V12,V14), P_apply-{F}(V5,V14,V15), V13 == V15, P_apply-{F}(V10,V12,V16), P_apply-{F}(V8,V12,V17), P_apply-{F}(V9,V17,V18), V16 == V18, P_apply-{F}(V11,V12,V19), P_apply-{F}(V0,V19,V20), V12 == V20 | P_apply-{T}(V2,V12,V12)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1446: mergings( V6 == V9, V9 == V12, V17 == V18, V18 == V19, V19 == V20; #1440 ), references = 4, size of lhs = 22:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), P_empty_set-{F}(V5), relation-{F}(V6), P_relation_composition-{F}(V6,V0,V1), function-{F}(V6), P_relation_dom-{F}(V6,V2), relation-{F}(V7), function-{F}(V7), P_relation_composition-{F}(V6,V7,V4), P_apply-{F}(V0,V8,V9), P_apply-{F}(V3,V9,V10), P_apply-{F}(V7,V8,V11), V10 == V11, pppp15-{F}(V6,V12,V13,V2,V8), P_apply-{F}(V12,V8,V14) | pppp14-{T}(V6,V12,V8,V14,V13,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1489: mergings( V0 == V3, V3 == V7, V7 == V16, V16 == V24, V24 == V32, V10 == V15, V15 == V23, V23 == V31, V31 == V39; #1453 ), references = 1, size of lhs = 53:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), relation-{F}(V5), P_relation_composition-{F}(V5,V0,V1), function-{F}(V5), P_relation_dom-{F}(V5,V2), relation-{F}(V6), function-{F}(V6), P_relation_composition-{F}(V5,V6,V4), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V2), relation-{F}(V8), function-{F}(V8), P_relation_composition-{F}(V7,V8,V9), relation-{F}(V10), function-{F}(V10), P_relation_dom-{F}(V10,V2), relation-{F}(V11), function-{F}(V11), P_relation_composition-{F}(V10,V11,V12), P_empty_set-{F}(V13), relation-{F}(V14), function-{F}(V14), P_relation_dom-{F}(V14,V2), relation-{F}(V15), function-{F}(V15), P_relation_composition-{F}(V14,V15,V16), P_apply-{F}(V5,V17,V17), P_apply-{F}(V0,V17,V18), P_apply-{F}(V3,V18,V19), P_apply-{F}(V6,V17,V20), V19 == V20, pppp15-{F}(V5,V21,V2,V2,V17), P_apply-{F}(V21,V17,V17), P_apply-{F}(V9,V17,V22), P_apply-{F}(V7,V17,V23), P_apply-{F}(V8,V23,V24), V22 == V24, P_apply-{F}(V12,V17,V25), P_apply-{F}(V10,V17,V26), P_apply-{F}(V11,V26,V27), V25 == V27, P_apply-{F}(V16,V17,V28), P_apply-{F}(V14,V17,V29), P_apply-{F}(V15,V29,V30), V28 == V30 | pppp14-{T}(V5,V21,V17,V17,V2,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1502: mergings( V0 == V3, V3 == V7, V7 == V17, V17 == V25, V25 == V33, V33 == V37, V10 == V15, V15 == V44, V44 == V16, V16 == V24, V24 == V32, V32 == V45; #1454 ), references = 1, size of lhs = 63:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), relation-{F}(V5), P_relation_composition-{F}(V5,V0,V1), function-{F}(V5), P_relation_dom-{F}(V5,V2), relation-{F}(V6), function-{F}(V6), P_relation_composition-{F}(V5,V6,V4), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V2), relation-{F}(V8), function-{F}(V8), P_relation_composition-{F}(V7,V8,V9), relation-{F}(V10), function-{F}(V10), P_relation_dom-{F}(V10,V2), relation-{F}(V11), function-{F}(V11), P_relation_composition-{F}(V10,V11,V12), relation-{F}(V13), function-{F}(V13), P_relation_dom-{F}(V13,V2), relation-{F}(V14), function-{F}(V14), P_relation_composition-{F}(V13,V14,V15), P_empty_set-{F}(V16), relation-{F}(V17), function-{F}(V17), P_relation_dom-{F}(V17,V2), relation-{F}(V18), function-{F}(V18), P_relation_composition-{F}(V17,V18,V19), P_apply-{F}(V5,V20,V20), P_apply-{F}(V0,V20,V21), P_apply-{F}(V3,V21,V22), P_apply-{F}(V6,V20,V23), V22 == V23, pppp15-{F}(V5,V24,V2,V2,V20), P_apply-{F}(V24,V20,V20), P_apply-{F}(V9,V20,V25), P_apply-{F}(V7,V20,V26), P_apply-{F}(V8,V26,V27), V25 == V27, P_apply-{F}(V12,V20,V28), P_apply-{F}(V10,V20,V29), P_apply-{F}(V11,V29,V30), V28 == V30, P_apply-{F}(V15,V20,V31), P_apply-{F}(V13,V20,V32), P_apply-{F}(V14,V32,V33), V31 == V33, P_apply-{F}(V19,V20,V34), P_apply-{F}(V17,V20,V35), P_apply-{F}(V18,V35,V36), V34 == V36 | pppp14-{T}(V5,V24,V20,V20,V2,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1515: mergings( V0 == V3, V3 == V7, V7 == V17, V17 == V25, V25 == V29, V29 == V41, V10 == V15, V15 == V36, V36 == V16, V16 == V24, V24 == V37, V37 == V48; #1456 ), references = 1, size of lhs = 63:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), relation-{F}(V5), P_relation_composition-{F}(V5,V0,V1), function-{F}(V5), P_relation_dom-{F}(V5,V2), relation-{F}(V6), function-{F}(V6), P_relation_composition-{F}(V5,V6,V4), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V2), relation-{F}(V8), function-{F}(V8), P_relation_composition-{F}(V7,V8,V9), relation-{F}(V10), function-{F}(V10), P_relation_dom-{F}(V10,V2), relation-{F}(V11), function-{F}(V11), P_relation_composition-{F}(V10,V11,V12), relation-{F}(V13), function-{F}(V13), P_relation_dom-{F}(V13,V2), relation-{F}(V14), function-{F}(V14), P_relation_composition-{F}(V13,V14,V15), P_empty_set-{F}(V16), relation-{F}(V17), function-{F}(V17), P_relation_dom-{F}(V17,V2), relation-{F}(V18), function-{F}(V18), P_relation_composition-{F}(V17,V18,V19), P_apply-{F}(V5,V20,V20), P_apply-{F}(V0,V20,V21), P_apply-{F}(V3,V21,V22), P_apply-{F}(V6,V20,V23), V22 == V23, pppp15-{F}(V5,V24,V2,V2,V20), P_apply-{F}(V24,V20,V20), P_apply-{F}(V9,V20,V25), P_apply-{F}(V7,V20,V26), P_apply-{F}(V8,V26,V27), V25 == V27, P_apply-{F}(V12,V20,V28), P_apply-{F}(V10,V20,V29), P_apply-{F}(V11,V29,V30), V28 == V30, P_apply-{F}(V15,V20,V31), P_apply-{F}(V13,V20,V32), P_apply-{F}(V14,V32,V33), V31 == V33, P_apply-{F}(V19,V20,V34), P_apply-{F}(V17,V20,V35), P_apply-{F}(V18,V35,V36), V34 == V36 | pppp14-{T}(V5,V24,V20,V20,V2,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1538: mergings( V3 == V6, V6 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V21, V1 == V28, V28 == V30, V30 == V32, V32 == V34; #1525 ), references = 1, size of lhs = 45:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), relation-{F}(V5), P_relation_composition-{F}(V5,V0,V1), function-{F}(V5), P_relation_dom-{F}(V5,V2), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V2), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V2), relation-{F}(V8), function-{F}(V8), P_relation_dom-{F}(V8,V2), P_empty_set-{F}(V9), relation-{F}(V10), function-{F}(V10), P_relation_dom-{F}(V10,V2), relation-{F}(V11), P_relation_composition-{F}(V5,V11,V4), function-{F}(V11), P_relation_composition-{F}(V6,V11,V12), P_relation_composition-{F}(V7,V11,V13), P_relation_composition-{F}(V8,V11,V14), P_relation_composition-{F}(V10,V11,V15), P_apply-{F}(V5,V16,V16), P_apply-{F}(V6,V16,V16), P_apply-{F}(V7,V16,V16), P_apply-{F}(V8,V16,V16), P_apply-{F}(V10,V16,V16), P_apply-{F}(V0,V16,V17), P_apply-{F}(V3,V17,V18), pppp15-{F}(V5,V19,V2,V2,V16), P_apply-{F}(V19,V16,V16), P_apply-{F}(V12,V16,V20), P_apply-{F}(V13,V16,V21), P_apply-{F}(V14,V16,V22), P_apply-{F}(V15,V16,V23) | P_apply-{T}(V11,V16,V18), P_apply-{T}(V11,V16,V20), P_apply-{T}(V11,V16,V21), P_apply-{T}(V11,V16,V22), P_apply-{T}(V11,V16,V23)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1551: mergings( V3 == V6, V6 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V21, V1 == V27, V27 == V35, V35 == V29, V29 == V31, V31 == V33, V33 == V36; #1527 ), references = 1, size of lhs = 46:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), relation-{F}(V5), P_relation_composition-{F}(V5,V0,V1), function-{F}(V5), P_relation_dom-{F}(V5,V2), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V2), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V2), relation-{F}(V8), function-{F}(V8), P_relation_dom-{F}(V8,V2), P_empty_set-{F}(V9), relation-{F}(V10), function-{F}(V10), P_relation_dom-{F}(V10,V2), relation-{F}(V11), P_relation_composition-{F}(V5,V11,V4), function-{F}(V11), P_relation_composition-{F}(V6,V11,V12), P_relation_composition-{F}(V7,V11,V13), P_relation_composition-{F}(V8,V11,V14), P_relation_composition-{F}(V10,V11,V15), in-{F}(V2,V16), P_apply-{F}(V6,V16,V16), P_apply-{F}(V7,V16,V16), P_apply-{F}(V8,V16,V16), P_apply-{F}(V10,V16,V16), P_apply-{F}(V5,V16,V16), P_apply-{F}(V0,V16,V17), P_apply-{F}(V3,V17,V18), pppp15-{F}(V5,V19,V2,V2,V16), P_apply-{F}(V19,V16,V16), P_apply-{F}(V12,V16,V20), P_apply-{F}(V13,V16,V21), P_apply-{F}(V14,V16,V22), P_apply-{F}(V15,V16,V23) | P_apply-{T}(V11,V16,V18), P_apply-{T}(V11,V16,V20), P_apply-{T}(V11,V16,V21), P_apply-{T}(V11,V16,V22), P_apply-{T}(V11,V16,V23)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1667: mergings( V0 == V3, V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V39, V39 == V41, V41 == V55, V55 == V57, V57 == V71, V71 == V73, V73 == V87, V87 == V89, V36 == V52, V52 == V68, V68 == V84, V22 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V49, V49 == V65, V65 == V81, V81 == V97; #1561 ), references = 1, size of lhs = 146:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), relation-{F}(V5), P_relation_composition-{F}(V5,V0,V1), function-{F}(V5), P_relation_dom-{F}(V5,V2), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V2), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V2), relation-{F}(V8), function-{F}(V8), P_relation_dom-{F}(V8,V2), relation-{F}(V9), function-{F}(V9), P_relation_dom-{F}(V9,V2), relation-{F}(V10), function-{F}(V10), relation-{F}(V11), function-{F}(V11), P_relation_dom-{F}(V11,V12), relation-{F}(V13), function-{F}(V13), P_relation_composition-{F}(V11,V13,V14), relation-{F}(V15), P_relation_composition-{F}(V15,V10,V11), function-{F}(V15), P_relation_dom-{F}(V15,V12), relation-{F}(V16), function-{F}(V16), relation-{F}(V17), function-{F}(V17), relation-{F}(V18), function-{F}(V18), P_relation_dom-{F}(V18,V12), relation-{F}(V19), function-{F}(V19), P_relation_composition-{F}(V18,V19,V20), relation-{F}(V21), P_relation_composition-{F}(V21,V17,V18), function-{F}(V21), P_relation_dom-{F}(V21,V12), relation-{F}(V22), function-{F}(V22), relation-{F}(V23), function-{F}(V23), relation-{F}(V24), function-{F}(V24), P_relation_dom-{F}(V24,V12), relation-{F}(V25), function-{F}(V25), P_relation_composition-{F}(V24,V25,V26), relation-{F}(V27), P_relation_composition-{F}(V27,V23,V24), function-{F}(V27), P_relation_dom-{F}(V27,V12), relation-{F}(V28), function-{F}(V28), relation-{F}(V29), function-{F}(V29), relation-{F}(V30), function-{F}(V30), P_relation_dom-{F}(V30,V12), relation-{F}(V31), function-{F}(V31), P_relation_composition-{F}(V30,V31,V32), relation-{F}(V33), P_relation_composition-{F}(V33,V29,V30), function-{F}(V33), P_relation_dom-{F}(V33,V12), P_empty_set-{F}(V34), relation-{F}(V35), P_relation_composition-{F}(V5,V35,V4), P_relation_composition-{F}(V15,V35,V14), P_relation_composition-{F}(V21,V35,V20), P_relation_composition-{F}(V27,V35,V26), P_relation_composition-{F}(V33,V35,V32), function-{F}(V35), P_relation_dom-{F}(V35,V12), P_relation_composition-{F}(V6,V35,V36), P_relation_composition-{F}(V7,V35,V37), P_relation_composition-{F}(V8,V35,V38), P_relation_composition-{F}(V9,V35,V39), P_relation_composition-{F}(V35,V16,V40), P_relation_composition-{F}(V35,V22,V41), P_relation_composition-{F}(V35,V28,V42), relation-{F}(V43), function-{F}(V43), P_relation_composition-{F}(V35,V43,V44), P_apply-{F}(V5,V45,V45), P_apply-{F}(V6,V45,V45), P_apply-{F}(V7,V45,V45), P_apply-{F}(V8,V45,V45), P_apply-{F}(V9,V45,V45), P_apply-{F}(V15,V45,V45), P_apply-{F}(V21,V45,V45), P_apply-{F}(V27,V45,V45), P_apply-{F}(V33,V45,V45), P_apply-{F}(V0,V45,V46), P_apply-{F}(V3,V46,V47), pppp15-{F}(V5,V48,V2,V2,V45), P_apply-{F}(V48,V45,V45), P_apply-{F}(V36,V45,V49), P_apply-{F}(V37,V45,V50), P_apply-{F}(V38,V45,V51), P_apply-{F}(V39,V45,V52), P_apply-{F}(V10,V45,V53), P_apply-{F}(V13,V53,V54), V54 == V49, pppp15-{F}(V15,V55,V12,V12,V45), P_apply-{F}(V55,V45,V45), P_apply-{F}(V40,V45,V56), P_apply-{F}(V16,V49,V57), V56 == V57, P_apply-{F}(V17,V45,V58), P_apply-{F}(V19,V58,V59), V59 == V50, pppp15-{F}(V21,V60,V12,V12,V45), P_apply-{F}(V60,V45,V45), P_apply-{F}(V41,V45,V61), P_apply-{F}(V22,V50,V62), V61 == V62, P_apply-{F}(V23,V45,V63), P_apply-{F}(V25,V63,V64), V64 == V51, pppp15-{F}(V27,V65,V12,V12,V45), P_apply-{F}(V65,V45,V45), P_apply-{F}(V42,V45,V66), P_apply-{F}(V28,V51,V67), V66 == V67, P_apply-{F}(V29,V45,V68), P_apply-{F}(V31,V68,V69), V69 == V52, pppp15-{F}(V33,V70,V12,V12,V45), P_apply-{F}(V70,V45,V45), P_apply-{F}(V44,V45,V71), P_apply-{F}(V43,V52,V72), V71 == V72 | P_apply-{T}(V35,V45,V47)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1695: mergings( V0 == V3, V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V39, V39 == V41, V41 == V55, V55 == V57, V57 == V71, V71 == V73, V73 == V87, V87 == V89, V89 == V92, V36 == V52, V52 == V68, V68 == V84, V84 == V93, V22 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V49, V49 == V65, V65 == V81, V81 == V102; #1562 ), references = 1, size of lhs = 152:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), relation-{F}(V5), P_relation_composition-{F}(V5,V0,V1), function-{F}(V5), P_relation_dom-{F}(V5,V2), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V2), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V2), relation-{F}(V8), function-{F}(V8), P_relation_dom-{F}(V8,V2), relation-{F}(V9), function-{F}(V9), P_relation_dom-{F}(V9,V2), relation-{F}(V10), function-{F}(V10), relation-{F}(V11), function-{F}(V11), P_relation_dom-{F}(V11,V12), relation-{F}(V13), function-{F}(V13), P_relation_composition-{F}(V11,V13,V14), relation-{F}(V15), P_relation_composition-{F}(V15,V10,V11), function-{F}(V15), P_relation_dom-{F}(V15,V12), relation-{F}(V16), function-{F}(V16), relation-{F}(V17), function-{F}(V17), relation-{F}(V18), function-{F}(V18), P_relation_dom-{F}(V18,V12), relation-{F}(V19), function-{F}(V19), P_relation_composition-{F}(V18,V19,V20), relation-{F}(V21), P_relation_composition-{F}(V21,V17,V18), function-{F}(V21), P_relation_dom-{F}(V21,V12), relation-{F}(V22), function-{F}(V22), relation-{F}(V23), function-{F}(V23), relation-{F}(V24), function-{F}(V24), P_relation_dom-{F}(V24,V12), relation-{F}(V25), function-{F}(V25), P_relation_composition-{F}(V24,V25,V26), relation-{F}(V27), P_relation_composition-{F}(V27,V23,V24), function-{F}(V27), P_relation_dom-{F}(V27,V12), relation-{F}(V28), function-{F}(V28), relation-{F}(V29), function-{F}(V29), relation-{F}(V30), function-{F}(V30), P_relation_dom-{F}(V30,V12), relation-{F}(V31), function-{F}(V31), P_relation_composition-{F}(V30,V31,V32), relation-{F}(V33), P_relation_composition-{F}(V33,V29,V30), function-{F}(V33), P_relation_dom-{F}(V33,V12), relation-{F}(V34), function-{F}(V34), P_empty_set-{F}(V35), relation-{F}(V36), P_relation_composition-{F}(V5,V36,V4), P_relation_composition-{F}(V15,V36,V14), P_relation_composition-{F}(V21,V36,V20), P_relation_composition-{F}(V27,V36,V26), P_relation_composition-{F}(V33,V36,V32), function-{F}(V36), P_relation_dom-{F}(V36,V12), P_relation_composition-{F}(V6,V36,V37), P_relation_composition-{F}(V7,V36,V38), P_relation_composition-{F}(V8,V36,V39), P_relation_composition-{F}(V9,V36,V40), P_relation_composition-{F}(V36,V16,V41), P_relation_composition-{F}(V36,V22,V42), P_relation_composition-{F}(V36,V28,V43), P_relation_composition-{F}(V36,V34,V44), relation-{F}(V45), function-{F}(V45), P_relation_composition-{F}(V36,V45,V46), P_apply-{F}(V5,V47,V47), P_apply-{F}(V6,V47,V47), P_apply-{F}(V7,V47,V47), P_apply-{F}(V8,V47,V47), P_apply-{F}(V9,V47,V47), P_apply-{F}(V15,V47,V47), P_apply-{F}(V21,V47,V47), P_apply-{F}(V27,V47,V47), P_apply-{F}(V0,V47,V48), P_apply-{F}(V3,V48,V49), pppp15-{F}(V5,V50,V2,V2,V47), P_apply-{F}(V50,V47,V47), P_apply-{F}(V37,V47,V51), P_apply-{F}(V38,V47,V52), P_apply-{F}(V39,V47,V53), P_apply-{F}(V40,V47,V54), P_apply-{F}(V10,V47,V55), P_apply-{F}(V13,V55,V56), V56 == V51, pppp15-{F}(V15,V57,V12,V12,V47), P_apply-{F}(V57,V47,V47), P_apply-{F}(V41,V47,V58), P_apply-{F}(V16,V51,V59), V58 == V59, P_apply-{F}(V17,V47,V60), P_apply-{F}(V19,V60,V61), V61 == V52, pppp15-{F}(V21,V62,V12,V12,V47), P_apply-{F}(V62,V47,V47), P_apply-{F}(V42,V47,V63), P_apply-{F}(V22,V52,V64), V63 == V64, P_apply-{F}(V23,V47,V65), P_apply-{F}(V25,V65,V66), V66 == V53, pppp15-{F}(V27,V67,V12,V12,V47), P_apply-{F}(V67,V47,V47), P_apply-{F}(V43,V47,V68), P_apply-{F}(V28,V53,V69), V68 == V69, pppp15-{F}(V33,V70,V12,V12,V47), P_apply-{F}(V70,V47,V47), P_apply-{F}(V29,V47,V71), P_apply-{F}(V31,V71,V72), V72 == V54, P_apply-{F}(V44,V47,V73), P_apply-{F}(V34,V54,V74), V73 == V74, P_apply-{F}(V33,V47,V75), P_apply-{F}(V46,V47,V76), P_apply-{F}(V45,V54,V77), V76 == V77 | P_apply-{T}(V36,V47,V49)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1723: mergings( V0 == V3, V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V39, V39 == V41, V41 == V55, V55 == V57, V57 == V71, V71 == V73, V73 == V76, V76 == V94, V94 == V96, V36 == V52, V52 == V68, V68 == V91, V91 == V77, V22 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V49, V49 == V65, V65 == V86, V86 == V104; #1564 ), references = 1, size of lhs = 152:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), relation-{F}(V5), P_relation_composition-{F}(V5,V0,V1), function-{F}(V5), P_relation_dom-{F}(V5,V2), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V2), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V2), relation-{F}(V8), function-{F}(V8), P_relation_dom-{F}(V8,V2), relation-{F}(V9), function-{F}(V9), P_relation_dom-{F}(V9,V2), relation-{F}(V10), function-{F}(V10), relation-{F}(V11), function-{F}(V11), P_relation_dom-{F}(V11,V12), relation-{F}(V13), function-{F}(V13), P_relation_composition-{F}(V11,V13,V14), relation-{F}(V15), P_relation_composition-{F}(V15,V10,V11), function-{F}(V15), P_relation_dom-{F}(V15,V12), relation-{F}(V16), function-{F}(V16), relation-{F}(V17), function-{F}(V17), relation-{F}(V18), function-{F}(V18), P_relation_dom-{F}(V18,V12), relation-{F}(V19), function-{F}(V19), P_relation_composition-{F}(V18,V19,V20), relation-{F}(V21), P_relation_composition-{F}(V21,V17,V18), function-{F}(V21), P_relation_dom-{F}(V21,V12), relation-{F}(V22), function-{F}(V22), relation-{F}(V23), function-{F}(V23), relation-{F}(V24), function-{F}(V24), P_relation_dom-{F}(V24,V12), relation-{F}(V25), function-{F}(V25), P_relation_composition-{F}(V24,V25,V26), relation-{F}(V27), P_relation_composition-{F}(V27,V23,V24), function-{F}(V27), P_relation_dom-{F}(V27,V12), relation-{F}(V28), function-{F}(V28), relation-{F}(V29), function-{F}(V29), relation-{F}(V30), function-{F}(V30), relation-{F}(V31), function-{F}(V31), P_relation_dom-{F}(V31,V12), relation-{F}(V32), function-{F}(V32), P_relation_composition-{F}(V31,V32,V33), relation-{F}(V34), P_relation_composition-{F}(V34,V30,V31), function-{F}(V34), P_relation_dom-{F}(V34,V12), P_empty_set-{F}(V35), relation-{F}(V36), P_relation_composition-{F}(V5,V36,V4), P_relation_composition-{F}(V15,V36,V14), P_relation_composition-{F}(V21,V36,V20), P_relation_composition-{F}(V27,V36,V26), P_relation_composition-{F}(V34,V36,V33), function-{F}(V36), P_relation_dom-{F}(V36,V12), P_relation_composition-{F}(V6,V36,V37), P_relation_composition-{F}(V7,V36,V38), P_relation_composition-{F}(V8,V36,V39), P_relation_composition-{F}(V9,V36,V40), P_relation_composition-{F}(V36,V16,V41), P_relation_composition-{F}(V36,V22,V42), P_relation_composition-{F}(V36,V28,V43), P_relation_composition-{F}(V36,V29,V44), relation-{F}(V45), function-{F}(V45), P_relation_composition-{F}(V36,V45,V46), P_apply-{F}(V5,V47,V47), P_apply-{F}(V6,V47,V47), P_apply-{F}(V7,V47,V47), P_apply-{F}(V8,V47,V47), P_apply-{F}(V9,V47,V47), P_apply-{F}(V15,V47,V47), P_apply-{F}(V21,V47,V47), P_apply-{F}(V34,V47,V47), P_apply-{F}(V0,V47,V48), P_apply-{F}(V3,V48,V49), pppp15-{F}(V5,V50,V2,V2,V47), P_apply-{F}(V50,V47,V47), P_apply-{F}(V37,V47,V51), P_apply-{F}(V38,V47,V52), P_apply-{F}(V39,V47,V53), P_apply-{F}(V40,V47,V54), P_apply-{F}(V10,V47,V55), P_apply-{F}(V13,V55,V56), V56 == V51, pppp15-{F}(V15,V57,V12,V12,V47), P_apply-{F}(V57,V47,V47), P_apply-{F}(V41,V47,V58), P_apply-{F}(V16,V51,V59), V58 == V59, P_apply-{F}(V17,V47,V60), P_apply-{F}(V19,V60,V61), V61 == V52, pppp15-{F}(V21,V62,V12,V12,V47), P_apply-{F}(V62,V47,V47), P_apply-{F}(V42,V47,V63), P_apply-{F}(V22,V52,V64), V63 == V64, pppp15-{F}(V27,V65,V12,V12,V47), P_apply-{F}(V65,V47,V47), P_apply-{F}(V23,V47,V66), P_apply-{F}(V25,V66,V67), V67 == V53, P_apply-{F}(V43,V47,V68), P_apply-{F}(V28,V53,V69), V68 == V69, P_apply-{F}(V27,V47,V70), P_apply-{F}(V44,V47,V71), P_apply-{F}(V29,V53,V72), V71 == V72, P_apply-{F}(V30,V47,V73), P_apply-{F}(V32,V73,V74), V74 == V54, pppp15-{F}(V34,V75,V12,V12,V47), P_apply-{F}(V75,V47,V47), P_apply-{F}(V46,V47,V76), P_apply-{F}(V45,V54,V77), V76 == V77 | P_apply-{T}(V36,V47,V49)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1738: mergings( V8 == V10, V18 == V23; #1735 ), references = 1, size of lhs = 32:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), relation-{F}(V5), P_relation_composition-{F}(V5,V0,V1), function-{F}(V5), P_relation_dom-{F}(V5,V2), relation-{F}(V6), function-{F}(V6), P_relation_composition-{F}(V5,V6,V4), P_empty_set-{F}(V7), relation-{F}(V8), function-{F}(V8), P_relation_dom-{F}(V8,V2), relation-{F}(V9), function-{F}(V9), P_relation_composition-{F}(V8,V9,V10), in-{F}(V11,V12), P_apply-{F}(V0,V12,V13), P_apply-{F}(V3,V13,V14), pppp15-{F}(V5,V15,V11,V2,V12), P_apply-{F}(V15,V12,V16), P_apply-{F}(V10,V16,V17), P_apply-{F}(V8,V16,V18), P_apply-{F}(V9,V18,V19), V17 == V19, P_apply-{F}(V5,V16,V20) | P_apply-{T}(V6,V12,V14)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1817: exists( #102, #1813 ), references = 1, size of lhs = 10:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V1), in-{F}(V4,V2), in-{F}(V4,V5), pppp12-{F}(V1,V3,V6,V7,V5) | P_apply-{T}(V1,V4,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1850: mergings( V8 == V11, V1 == V19; #1847 ), references = 1, size of lhs = 28:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V2), P_empty_set-{F}(V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V6), relation-{F}(V7), P_relation_composition-{F}(V7,V0,V7), function-{F}(V7), P_relation_composition-{F}(V5,V7,V0), P_relation_dom-{F}(V7,V8), P_relation_composition-{F}(V1,V7,V9), P_relation_composition-{F}(V3,V7,V10), pppp15-{F}(V7,V11,V2,V8,V12), P_apply-{F}(V9,V12,V13), P_apply-{F}(V1,V12,V14), P_apply-{F}(V3,V12,V14), P_apply-{F}(V11,V12,V14), P_apply-{F}(V5,V12,V14), P_apply-{F}(V10,V12,V15), P_apply-{F}(V16,V12,V14), pppp14-{F}(V7,V16,V12,V14,V6,V17) | P_apply-{T}(V7,V14,V13), P_apply-{T}(V7,V14,V15), P_apply-{T}(V7,V14,V12)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1875: mergings( V3 == V5, V5 == V20, V20 == V21, V21 == V22, V22 == V32, V32 == V33, V33 == V34, V7 == V25, V25 == V37, V19 == V31, V31 == V43, V15 == V18; #1859 ), references = 1, size of lhs = 44:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V2), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), relation-{F}(V6), P_relation_composition-{F}(V6,V0,V6), function-{F}(V6), P_relation_composition-{F}(V4,V6,V0), P_relation_dom-{F}(V6,V7), P_relation_composition-{F}(V1,V6,V8), P_relation_composition-{F}(V3,V6,V9), empty-{F}(V10), P_powerset-{F}(V10,V11), P_powerset-{F}(V11,V5), P_empty_set-{F}(V12), empty-{F}(V13), P_powerset-{F}(V13,V14), P_powerset-{F}(V14,V5), pppp15-{F}(V6,V15,V2,V7,V16), P_apply-{F}(V8,V16,V17), P_apply-{F}(V1,V16,V18), P_apply-{F}(V3,V16,V18), P_apply-{F}(V15,V16,V18), P_apply-{F}(V4,V16,V18), P_apply-{F}(V9,V16,V19), P_apply-{F}(V20,V16,V18), pppp14-{F}(V6,V20,V16,V18,V5,V21), in-{F}(V22,V23), in-{F}(V23,V24), V24 == V17, pppp14-{F}(V6,V25,V24,V18,V5,V21), P_apply-{F}(V25,V24,V26), in-{F}(V27,V28), in-{F}(V28,V29), V29 == V19, pppp14-{F}(V6,V30,V29,V18,V5,V21), P_apply-{F}(V30,V29,V31) | P_apply-{T}(V6,V18,V16)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1888: mergings( V3 == V5, V5 == V20, V20 == V21, V21 == V22, V22 == V32, V32 == V33, V33 == V34, V7 == V25, V25 == V37, V19 == V31, V31 == V42, V15 == V18; #1860 ), references = 1, size of lhs = 44:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V2), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), relation-{F}(V6), P_relation_composition-{F}(V6,V0,V6), function-{F}(V6), P_relation_composition-{F}(V4,V6,V0), P_relation_dom-{F}(V6,V7), P_relation_composition-{F}(V1,V6,V8), P_relation_composition-{F}(V3,V6,V9), empty-{F}(V10), P_powerset-{F}(V10,V11), P_powerset-{F}(V11,V5), P_empty_set-{F}(V12), empty-{F}(V13), P_powerset-{F}(V13,V14), P_powerset-{F}(V14,V5), pppp15-{F}(V6,V15,V2,V7,V16), P_apply-{F}(V8,V16,V17), P_apply-{F}(V1,V16,V18), P_apply-{F}(V3,V16,V18), P_apply-{F}(V15,V16,V18), P_apply-{F}(V4,V16,V18), P_apply-{F}(V9,V16,V19), P_apply-{F}(V20,V16,V18), pppp14-{F}(V6,V20,V16,V18,V5,V21), in-{F}(V22,V23), in-{F}(V23,V24), V24 == V17, pppp14-{F}(V6,V25,V24,V18,V5,V21), P_apply-{F}(V25,V24,V26), in-{F}(V27,V28), V27 == V12, V28 == V19, pppp14-{F}(V6,V29,V28,V18,V5,V21), P_apply-{F}(V29,V28,V30) | P_apply-{T}(V6,V18,V16)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1901: mergings( V3 == V5, V5 == V20, V20 == V21, V21 == V22, V22 == V31, V31 == V32, V32 == V33, V7 == V25, V25 == V36, V19 == V30, V30 == V42, V15 == V18; #1861 ), references = 1, size of lhs = 44:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V2), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), relation-{F}(V6), P_relation_composition-{F}(V6,V0,V6), function-{F}(V6), P_relation_composition-{F}(V4,V6,V0), P_relation_dom-{F}(V6,V7), P_relation_composition-{F}(V1,V6,V8), P_relation_composition-{F}(V3,V6,V9), empty-{F}(V10), P_powerset-{F}(V10,V11), P_powerset-{F}(V11,V5), P_empty_set-{F}(V12), empty-{F}(V13), P_powerset-{F}(V13,V14), P_powerset-{F}(V14,V5), pppp15-{F}(V6,V15,V2,V7,V16), P_apply-{F}(V8,V16,V17), P_apply-{F}(V1,V16,V18), P_apply-{F}(V3,V16,V18), P_apply-{F}(V15,V16,V18), P_apply-{F}(V4,V16,V18), P_apply-{F}(V9,V16,V19), P_apply-{F}(V20,V16,V18), pppp14-{F}(V6,V20,V16,V18,V5,V21), in-{F}(V22,V23), V22 == V12, V23 == V17, pppp14-{F}(V6,V24,V23,V18,V5,V21), P_apply-{F}(V24,V23,V25), in-{F}(V26,V27), in-{F}(V27,V28), V28 == V19, pppp14-{F}(V6,V29,V28,V18,V5,V21), P_apply-{F}(V29,V28,V30) | P_apply-{T}(V6,V18,V16)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1923: mergings( V3 == V7, V7 == V9, V9 == V12, V12 == V13, V13 == V14, V14 == V17, V17 == V18, V18 == V19, V19 == V22, V22 == V23, V26 == V27, V29 == V31, V31 == V32, V32 == V33, V33 == V34, V11 == V6; #1906 ), references = 1, size of lhs = 44:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V2), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V2), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V2), empty-{F}(V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V2), relation-{F}(V9), function-{F}(V9), P_empty_set-{F}(V10), relation-{F}(V11), function-{F}(V11), P_relation_dom-{F}(V11,V2), relation-{F}(V12), P_relation_composition-{F}(V12,V0,V12), P_relation_composition-{F}(V4,V12,V0), P_relation_composition-{F}(V12,V9,V12), function-{F}(V12), P_relation_composition-{F}(V1,V12,V9), P_relation_composition-{F}(V3,V12,V9), P_relation_composition-{F}(V11,V12,V9), P_relation_dom-{F}(V12,V13), pppp15-{F}(V12,V14,V2,V13,V15), P_apply-{F}(V1,V15,V16), P_apply-{F}(V3,V15,V16), P_apply-{F}(V4,V15,V16), P_apply-{F}(V11,V15,V16), P_apply-{F}(V14,V15,V16), pppp15-{F}(V12,V17,V2,V13,V15), P_apply-{F}(V17,V15,V16), in-{F}(V18,V15), in-{F}(V19,V18), in-{F}(V20,V15), in-{F}(V21,V20) | P_apply-{T}(V9,V15,V15)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #1991: mergings( V1 == V10; #1989 ), references = 1, size of lhs = 11:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V5,V7), P_apply-{F}(V8,V5,V7), pppp14-{F}(V3,V8,V5,V7,V2,V9) | P_apply-{T}(V3,V7,V6), P_apply-{T}(V3,V7,V5)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2033: mergings( V3 == V7; #2031 ), references = 1, size of lhs = 20:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V3), relation-{F}(V3), function-{F}(V3), P_empty_set-{F}(V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V6), P_relation_composition-{F}(V5,V3,V7), P_apply-{F}(V7,V8,V9), P_apply-{F}(V5,V8,V10), P_apply-{F}(V0,V10,V11), P_apply-{F}(V2,V11,V12), P_apply-{F}(V13,V10,V14), pppp14-{F}(V13,V15,V8,V10,V6,V1), P_apply-{F}(V15,V8,V16) | P_apply-{T}(V3,V10,V12), P_apply-{T}(V3,V10,V9)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2069: mergings( V3 == V7; #2067 ), references = 5, size of lhs = 22:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V3), P_empty_set-{F}(V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V6), relation-{F}(V7), function-{F}(V7), P_relation_composition-{F}(V5,V7,V8), P_apply-{F}(V0,V9,V10), P_apply-{F}(V2,V10,V11), P_apply-{F}(V12,V9,V13), pppp14-{F}(V12,V14,V15,V9,V6,V1), P_apply-{F}(V14,V15,V16), P_apply-{F}(V8,V15,V17), P_apply-{F}(V5,V15,V18), P_apply-{F}(V7,V18,V19), V17 == V19 | P_apply-{T}(V3,V9,V11)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2083: mergings( V0 == V11, V11 == V15, V15 == V20, V20 == V23, V2 == V17, V17 == V25, V10 == V12, V12 == V21, V7 == V9; #2073 ), references = 2, size of lhs = 48:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V3), P_relation_dom-{F}(V2,V4), relation-{F}(V5), function-{F}(V5), P_relation_composition-{F}(V2,V5,V6), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V4), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V1), relation-{F}(V8), function-{F}(V8), P_relation_composition-{F}(V7,V8,V9), relation-{F}(V10), function-{F}(V10), P_relation_composition-{F}(V6,V10,V2), P_empty_set-{F}(V11), relation-{F}(V12), function-{F}(V12), P_relation_dom-{F}(V12,V1), relation-{F}(V13), function-{F}(V13), P_relation_composition-{F}(V12,V13,V14), P_apply-{F}(V3,V15,V16), P_apply-{F}(V0,V15,V17), P_apply-{F}(V5,V16,V18), P_apply-{F}(V10,V18,V19), V16 == V19, P_apply-{F}(V20,V15,V17), pppp14-{F}(V2,V20,V15,V17,V1,V4), pppp14-{F}(V2,V21,V22,V17,V1,V4), P_apply-{F}(V21,V22,V23), P_apply-{F}(V9,V22,V24), P_apply-{F}(V7,V22,V25), P_apply-{F}(V8,V25,V26), V24 == V26, pppp14-{F}(V2,V27,V28,V17,V1,V4), P_apply-{F}(V27,V28,V29), P_apply-{F}(V14,V28,V30), P_apply-{F}(V12,V28,V31), P_apply-{F}(V13,V31,V32), V30 == V32 | P_apply-{T}(V2,V17,V15)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2146: mergings( V11 == V17, V3 == V13, V13 == V16, V16 == V18, V18 == V21, V26 == V27, V27 == V29, V29 == V32, V32 == V37; #2136 ), references = 1, size of lhs = 53:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V1), relation-{F}(V6), function-{F}(V6), P_relation_composition-{F}(V5,V6,V7), relation-{F}(V7), function-{F}(V7), P_relation_composition-{F}(V3,V7,V8), P_relation_composition-{F}(V8,V2,V3), P_relation_dom-{F}(V8,V4), P_relation_composition-{F}(V8,V7,V8), relation-{F}(V8), function-{F}(V8), P_relation_composition-{F}(V0,V8,V9), relation-{F}(V10), function-{F}(V10), P_relation_dom-{F}(V10,V1), relation-{F}(V11), function-{F}(V11), P_relation_composition-{F}(V10,V11,V7), relation-{F}(V12), function-{F}(V12), P_relation_dom-{F}(V12,V1), relation-{F}(V13), function-{F}(V13), P_relation_composition-{F}(V12,V13,V7), P_empty_set-{F}(V14), relation-{F}(V15), function-{F}(V15), P_relation_dom-{F}(V15,V1), P_relation_composition-{F}(V15,V8,V16), pppp15-{F}(V8,V17,V1,V4,V18), P_apply-{F}(V9,V18,V19), P_apply-{F}(V2,V19,V18), P_apply-{F}(V0,V18,V20), P_apply-{F}(V15,V18,V20), P_apply-{F}(V17,V18,V20), P_apply-{F}(V16,V18,V21), P_apply-{F}(V5,V18,V22), P_apply-{F}(V6,V22,V23), P_apply-{F}(V10,V18,V24), P_apply-{F}(V11,V24,V25), P_apply-{F}(V12,V18,V26), P_apply-{F}(V13,V26,V27) | P_apply-{T}(V7,V18,V18), P_apply-{T}(V7,V18,V19), P_apply-{T}(V7,V18,V21), P_apply-{T}(V7,V18,V23), P_apply-{T}(V7,V18,V25), P_apply-{T}(V7,V18,V27)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2176: mergings( V1 == V10; #2174 ), references = 1, size of lhs = 11:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V5,V7), P_apply-{F}(V8,V5,V7), pppp14-{F}(V3,V8,V5,V7,V2,V9) | P_apply-{T}(V3,V7,V6), P_apply-{T}(V3,V7,V5)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2198: mergings( V13 == V30, V0 == V14, V14 == V22, V22 == V27, V27 == V31, V31 == V36, V28 == V29, V11 == V19, V38 == V2, V2 == V16, V16 == V24, V24 == V33, V29 == V10, V10 == V19, V7 == V9; #2182 ), references = 1, size of lhs = 72:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V1), relation-{F}(V4), function-{F}(V4), P_relation_composition-{F}(V3,V4,V5), relation-{F}(V6), function-{F}(V6), relation-{F}(V7), function-{F}(V7), relation-{F}(V8), function-{F}(V8), P_relation_dom-{F}(V8,V1), relation-{F}(V9), function-{F}(V9), P_relation_composition-{F}(V8,V9,V10), P_relation_dom-{F}(V7,V11), relation-{F}(V12), P_relation_composition-{F}(V12,V6,V7), function-{F}(V12), P_relation_dom-{F}(V12,V11), P_relation_composition-{F}(V0,V12,V13), P_relation_composition-{F}(V12,V2,V14), P_relation_composition-{F}(V7,V12,V14), relation-{F}(V14), function-{F}(V14), relation-{F}(V15), function-{F}(V15), P_relation_dom-{F}(V15,V1), relation-{F}(V16), function-{F}(V16), P_relation_composition-{F}(V15,V16,V17), P_empty_set-{F}(V18), relation-{F}(V19), function-{F}(V19), P_relation_dom-{F}(V19,V1), P_relation_composition-{F}(V19,V14,V20), P_apply-{F}(V13,V21,V22), P_apply-{F}(V0,V21,V23), P_apply-{F}(V6,V22,V23), P_apply-{F}(V19,V24,V23), P_apply-{F}(V20,V24,V25), V25 == V22, P_apply-{F}(V2,V22,V26), V26 == V22, pppp14-{F}(V12,V27,V24,V23,V1,V11), P_apply-{F}(V27,V24,V28), P_apply-{F}(V29,V21,V23), pppp14-{F}(V12,V29,V21,V23,V1,V11), P_apply-{F}(V5,V30,V31), P_apply-{F}(V3,V30,V32), P_apply-{F}(V4,V32,V33), V31 == V33, pppp14-{F}(V12,V34,V30,V23,V1,V11), P_apply-{F}(V34,V30,V35), P_apply-{F}(V10,V36,V37), P_apply-{F}(V8,V36,V38), P_apply-{F}(V9,V38,V39), V37 == V39, pppp14-{F}(V12,V40,V36,V23,V1,V11), P_apply-{F}(V40,V36,V41), P_apply-{F}(V17,V42,V43), P_apply-{F}(V15,V42,V44), P_apply-{F}(V16,V44,V45), V43 == V45, pppp14-{F}(V12,V46,V42,V23,V1,V11), P_apply-{F}(V46,V42,V47) | P_apply-{T}(V12,V23,V21)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2206: exists( #102, #2204 ), references = 2, size of lhs = 13:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V5,V7), P_apply-{F}(V8,V5,V9), pppp14-{F}(V8,V10,V11,V5,V12,V2), P_apply-{F}(V10,V11,V13), V5 == V13 | P_apply-{T}(V3,V7,V6)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2277: mergings( V3 == V7, V19 == V20, V13 == V21; #2273 ), references = 1, size of lhs = 26:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V3), P_empty_set-{F}(V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V6), relation-{F}(V7), function-{F}(V7), P_relation_composition-{F}(V5,V7,V3), P_apply-{F}(V0,V8,V9), P_apply-{F}(V5,V8,V10), P_apply-{F}(V11,V10,V10), P_apply-{F}(V12,V8,V13), P_apply-{F}(V14,V8,V15), pppp16-{F}(V10,V16,V17,V7,V11), pppp12-{F}(V16,V7,V18,V17,V19), pppp14-{F}(V12,V20,V21,V8,V22,V1), P_apply-{F}(V20,V21,V23), V8 == V23, pppp14-{F}(V14,V24,V25,V8,V26,V6), P_apply-{F}(V24,V25,V27), V8 == V27 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2284: mergings( V3 == V5, V4 == V6, V8 == V9, V16 == V17, V10 == V18; #2278 ), references = 1, size of lhs = 18:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_apply-{F}(V1,V4,V5), P_apply-{F}(V6,V5,V5), P_apply-{F}(V7,V4,V8), P_apply-{F}(V9,V4,V10), pppp16-{F}(V5,V11,V12,V3,V6), pppp12-{F}(V11,V3,V13,V12,V14), pppp14-{F}(V7,V15,V16,V4,V17,V2), P_apply-{F}(V15,V16,V18), V4 == V18, pppp14-{F}(V9,V19,V20,V4,V21,V2), P_apply-{F}(V19,V20,V22), V4 == V22 | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2329: mergings( V5 == V6, V3 == V7; #2326 ), references = 1, size of lhs = 3:
% 224.78/224.95 P_apply-{F}(V0,V1,V1), pppp16-{F}(V1,V2,V3,V4,V0), pppp12-{F}(V2,V4,V5,V3,V6) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2334: mergings( V6 == V8, V7 == V9; #2331 ), references = 1, size of lhs = 11:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V1), P_empty_set-{F}(V3), P_relation_composition-{F}(V2,V0,V4), pppp12-{F}(V0,V2,V5,V1,V6) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2338: mergings( V5 == V7, V6 == V8; #2335 ), references = 1, size of lhs = 10:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V1), P_empty_set-{F}(V3), pppp12-{F}(V0,V2,V4,V1,V5) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2345: mergings( V2 == V5, V5 == V7, V4 == V6; #2341 ), references = 1, size of lhs = 10:
% 224.78/224.95 one_to_one-{F}(V0), pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V0,V1), P_function_inverse-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2349: mergings( V2 == V4, V4 == V5; #2346 ), references = 1, size of lhs = 9:
% 224.78/224.95 one_to_one-{F}(V0), pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V0,V1), P_function_inverse-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2357: mergings( V2 == V3, V3 == V4, V4 == V5; #2353 ), references = 2, size of lhs = 5:
% 224.78/224.95 one_to_one-{F}(V0), pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2382: mergings( V2 == V3, V3 == V4; #2379 ), references = 1, size of lhs = 6:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0 | pppp1-{T}(V4,V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2384: exists( #100, #319 ), references = 1, size of lhs = 7:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4) | P_relation_dom-{T}(V1,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2450: exists( #100, #233 ), references = 1, size of lhs = 7:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2), P_function_inverse-{F}(V0,V3), P_relation_dom-{F}(V0,V4) | P_relation_dom-{T}(V3,V2)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2518: exists( #101, #320 ), references = 1, size of lhs = 7:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4) | P_relation_rng-{T}(V2,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2519: exists( #101, #228 ), references = 1, size of lhs = 8:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2), P_function_inverse-{F}(V0,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V0,V5) | P_relation_rng-{T}(V3,V5)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2579: mergings( V3 == V8, V17 == V14, V16 == V12, V10 == V15; #2574 ), references = 2, size of lhs = 19:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V3), in-{F}(V4,V1), P_apply-{F}(V3,V4,V5), P_empty_set-{F}(V6), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V8), relation-{F}(V9), P_relation_composition-{F}(V7,V9,V2), function-{F}(V9), P_apply-{F}(V9,V4,V10), V5 == V10, in-{F}(V4,V11), pppp12-{F}(V7,V0,V12,V11,V8) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2585: mergings( V3 == V7, V14 == V15, V13 == V11, V9 == V16; #2580 ), references = 1, size of lhs = 17:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V3), in-{F}(V4,V1), P_empty_set-{F}(V5), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V7), relation-{F}(V8), P_relation_composition-{F}(V6,V8,V2), function-{F}(V8), P_apply-{F}(V8,V4,V9), in-{F}(V4,V10), pppp12-{F}(V6,V0,V11,V10,V7) | P_apply-{T}(V3,V4,V9)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2588: exists( #102, #2586 ), references = 1, size of lhs = 12:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V4,V5,V6), V6 == V5, in-{F}(V5,V7), pppp12-{F}(V3,V1,V8,V7,V9) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2590: exists( #102, #2587 ), references = 1, size of lhs = 10:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), in-{F}(V5,V6), pppp12-{F}(V3,V1,V7,V6,V8) | P_apply-{T}(V4,V5,V5)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2602: mergings( V3 == V4, V10 == V11, V8 == V7, V6 == V12; #2597 ), references = 1, size of lhs = 5:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V3,V4), pppp12-{F}(V5,V6,V7,V4,V2) | P_apply-{T}(V6,V3,V0)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2617: mergings( V2 == V3, V3 == V4, V11 == V12, V12 == V14, V6 == V13; #2610 ), references = 1, size of lhs = 7:
% 224.78/224.95 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_apply-{F}(V3,V0,V4), pppp12-{F}(V5,V6,V7,V8,V2), V8 == V0, pppp12-{F}(V3,V6,V7,V8,V9) | pppp1-{T}(V8,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2620: exists( #102, #61 ), references = 1, size of lhs = 10:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V5,V7) | P_apply-{T}(V3,V7,V6)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2621: exists( #102, #2579 ), references = 1, size of lhs = 17:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_composition-{F}(V0,V2,V3), in-{F}(V4,V1), P_apply-{F}(V3,V4,V5), P_empty_set-{F}(V6), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V8), relation-{F}(V9), P_relation_composition-{F}(V7,V9,V2), function-{F}(V9), in-{F}(V4,V10), pppp12-{F}(V7,V0,V11,V10,V8) | P_apply-{T}(V9,V4,V5)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2680: exists( #102, #61 ), references = 1, size of lhs = 10:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V5,V7) | P_apply-{T}(V3,V7,V6)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2682: exists( #102, #61 ), references = 1, size of lhs = 10:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V5,V7) | P_apply-{T}(V3,V7,V6)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2684: exists( #102, #61 ), references = 1, size of lhs = 10:
% 224.78/224.95 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V4,V5,V6), P_apply-{F}(V1,V5,V7) | P_apply-{T}(V3,V7,V6)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2689: exists( #97, #2685 ), references = 1, size of lhs = 6:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_empty_set-{F}(V3) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2691: exists( #96, #2687 ), references = 2, size of lhs = 5:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2697: mergings( V2 == V5, V5 == V8; #2694 ), references = 1, size of lhs = 14:
% 224.78/224.95 relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_function_inverse-{F}(V0,V1), pppp17-{F}(V1), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V0,V2), relation-{F}(V3), function-{F}(V3), one_to_one-{F}(V3), P_function_inverse-{F}(V3,V1), P_relation_dom-{F}(V3,V4), P_empty_set-{F}(V5) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2701: mergings( V2 == V4, V4 == V5; #2698 ), references = 1, size of lhs = 8:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V0), P_empty_set-{F}(V2) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2729: exists( #100, #320 ), references = 1, size of lhs = 7:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4) | P_relation_dom-{T}(V0,V4)
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2738: exists( #101, #2691 ), references = 2, size of lhs = 4:
% 224.78/224.95 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2754: mergings( V3 == V4; #2750 ), references = 1, size of lhs = 4:
% 224.78/224.95 pppp17-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_empty_set-{F}(V3) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2758: exists( #101, #2750 ), references = 1, size of lhs = 3:
% 224.78/224.95 pppp17-{F}(V0), P_function_inverse-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2762: exists( #96, #2755 ), references = 1, size of lhs = 2:
% 224.78/224.95 pppp17-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2767: mergings( V0 == V2; #2763 ), references = 1, size of lhs = 1:
% 224.78/224.95 P_empty_set-{F}(V0) | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 #2771: exists( #98, #2763 ), references = 1, size of lhs = 0:
% 224.78/224.95 FALSE | FALSE
% 224.78/224.95 (used 0 times, uses = {})
% 224.78/224.95
% 224.78/224.95 number of learnt formulas = 151
% 224.78/224.95
% 224.78/224.95
% 224.78/224.95 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 224.78/224.95
% 224.78/224.95 randbase = 1
%------------------------------------------------------------------------------