TSTP Solution File: SEU045+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU045+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:17:07 EDT 2022
% Result : Theorem 130.32s 130.54s
% Output : Refutation 130.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU045+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 19:10:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 130.32/130.54 GeoParameters:
% 130.32/130.54
% 130.32/130.54 tptp_input = 1
% 130.32/130.54 tptp_output = 0
% 130.32/130.54 nonempty = 1
% 130.32/130.54 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 130.32/130.54 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 130.32/130.54
% 130.32/130.54
% 130.32/130.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 130.32/130.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 130.32/130.54
% 130.32/130.54 RuleSystem INPUT:
% 130.32/130.54
% 130.32/130.54 Initial Rules:
% 130.32/130.54 #0: input, references = 3, size of lhs = 1:
% 130.32/130.54 #-{F} V0 | subset-{T}(V0,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1: input, references = 3, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | empty-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #2: input, references = 3, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | relation-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #3: input, references = 3, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | empty-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #4: input, references = 3, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | relation-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #5: input, references = 3, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #6: input, references = 3, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | empty-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #7: input, references = 8, size of lhs = 2:
% 130.32/130.54 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp2-{T}(V1,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #8: input, references = 10, size of lhs = 1:
% 130.32/130.54 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #9: input, references = 3, size of lhs = 2:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #10: input, references = 3, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), relation-{F}(V1), empty-{F}(V1), function-{F}(V1) | one_to_one-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #11: input, references = 4, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #12: input, references = 4, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #13: input, references = 5, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #14: input, references = 3, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #15: input, references = 3, size of lhs = 2:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #16: input, references = 5, size of lhs = 2:
% 130.32/130.54 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #17: input, references = 3, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #18: input, references = 3, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #19: input, references = 9, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #20: input, references = 12, size of lhs = 5:
% 130.32/130.54 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #21: input, references = 10, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #22: input, references = 8, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #23: input, references = 8, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #24: input, references = 5, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V3) | relation-{T}(V3)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #25: input, references = 3, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V3) | relation-{T}(V3)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #26: input, references = 5, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V3) | function-{T}(V3)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #27: input, references = 3, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #28: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp3-{F}(V0) | function-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #29: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp3-{F}(V0) | relation-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #30: input, references = 4, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #31: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp4-{F}(V0) | function-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #32: input, references = 5, size of lhs = 1:
% 130.32/130.54 pppp4-{F}(V0) | empty-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #33: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp4-{F}(V0) | relation-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #34: input, references = 3, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #35: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp5-{F}(V0) | one_to_one-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #36: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp5-{F}(V0) | function-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #37: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp5-{F}(V0) | relation-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #38: input, references = 4, size of lhs = 2:
% 130.32/130.54 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp18-{T}(V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #39: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp18-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #40: input, references = 3, size of lhs = 2:
% 130.32/130.54 pppp6-{F}(V0,V1), empty-{F}(V0) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #41: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #42: input, references = 4, size of lhs = 2:
% 130.32/130.54 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp7-{T}(V3,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #43: input, references = 4, size of lhs = 1:
% 130.32/130.54 pppp7-{F}(V0,V1) | empty-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #44: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #45: input, references = 4, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #46: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp8-{F}(V0) | relation-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #47: input, references = 5, size of lhs = 1:
% 130.32/130.54 pppp8-{F}(V0) | empty-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #48: input, references = 3, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #49: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp9-{F}(V0) | relation-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #50: input, references = 3, size of lhs = 2:
% 130.32/130.54 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #51: input, references = 3, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #52: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp10-{F}(V0) | relation_empty_yielding-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #53: input, references = 3, size of lhs = 1:
% 130.32/130.54 pppp10-{F}(V0) | relation-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #54: input, references = 4, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #55: input, references = 5, size of lhs = 1:
% 130.32/130.54 pppp11-{F}(V0) | empty-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #56: input, references = 3, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #57: input, references = 3, size of lhs = 2:
% 130.32/130.54 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #58: input, references = 18, size of lhs = 2:
% 130.32/130.54 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #59: input, references = 8, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #60: input, references = 4, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #61: input, references = 5, size of lhs = 1:
% 130.32/130.54 pppp15-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #62: input, references = 4, size of lhs = 1:
% 130.32/130.54 pppp15-{F}(V0) | function-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #63: input, references = 4, size of lhs = 1:
% 130.32/130.54 pppp15-{F}(V0) | relation-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #64: input, references = 5, size of lhs = 1:
% 130.32/130.54 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V2,V1,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #65: input, references = 5, size of lhs = 5:
% 130.32/130.54 pppp13-{F}(V0,V1,V2), P_relation_rng_restriction-{F}(V0,V2,V3), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V6), P_apply-{F}(V2,V1,V6) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #66: input, references = 4, size of lhs = 5:
% 130.32/130.54 pppp13-{F}(V0,V1,V2), P_relation_rng_restriction-{F}(V0,V2,V3), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), P_apply-{F}(V2,V1,V6) | in-{T}(V1,V4)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #67: input, references = 8, size of lhs = 6:
% 130.32/130.54 P_empty_set-{F}(V0), relation-{F}(V4), function-{F}(V4), relation-{F}(V2), function-{F}(V2), P_relation_rng_restriction-{F}(V3,V2,V4) | pppp1-{T}(V3,V4,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #68: input, references = 4, size of lhs = 8:
% 130.32/130.54 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_rng_restriction-{F}(V3,V2,V4), pppp1-{F}(V3,V1,V2), V1 == V4 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #69: input, references = 24, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), pppp1-{F}(V1,V2,V3), in-{F}(V5,V4) | pppp0-{T}(V1,V3,V5)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #70: input, references = 18, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), pppp1-{F}(V1,V2,V3), pppp0-{F}(V1,V3,V5) | in-{T}(V5,V4)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #71: input, references = 8, size of lhs = 7:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), pppp1-{F}(V1,V2,V3), P_apply-{F}(V2,V5,V6), P_apply-{F}(V3,V5,V7), in-{F}(V5,V4), V6 == V7 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #72: input, references = 49, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), #-{F} V1, #-{F} V3, P_relation_dom-{F}(V2,V4) | pppp1-{T}(V1,V2,V3), pppp19-{T}(V1,V3,V4), pppp20-{T}(V2,V3,V4)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #73: input, references = 13, size of lhs = 1:
% 130.32/130.54 pppp19-{F}(V0,V1,V2) | EXISTS V3: pppp16-{T}(V0,V1,V3,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #74: input, references = 6, size of lhs = 1:
% 130.32/130.54 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp17-{T}(V0,V1,V3,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #75: input, references = 5, size of lhs = 3:
% 130.32/130.54 pppp17-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V5), P_apply-{F}(V1,V2,V5) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #76: input, references = 13, size of lhs = 3:
% 130.32/130.54 pppp17-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4), P_apply-{F}(V1,V2,V5) | in-{T}(V2,V3)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #77: input, references = 12, size of lhs = 3:
% 130.32/130.54 pppp16-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V2), in-{F}(V2,V3) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #78: input, references = 5, size of lhs = 1:
% 130.32/130.54 pppp16-{F}(V0,V1,V2,V3) | in-{T}(V2,V3), pppp0-{T}(V0,V1,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #79: input, references = 23, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), P_apply-{F}(V2,V3,V5), pppp0-{F}(V1,V2,V3) | in-{T}(V3,V4)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #80: input, references = 12, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), P_apply-{F}(V2,V3,V5), pppp0-{F}(V1,V2,V3) | in-{T}(V5,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #81: input, references = 19, size of lhs = 5:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), P_apply-{F}(V2,V3,V5), in-{F}(V3,V4), in-{F}(V5,V1) | pppp0-{T}(V1,V2,V3)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #82: input, references = 4, size of lhs = 0:
% 130.32/130.54 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #83: input, references = 3, size of lhs = 1:
% 130.32/130.54 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #84: input, references = 9, size of lhs = 1:
% 130.32/130.54 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #85: input, references = 12, size of lhs = 2:
% 130.32/130.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_rng_restriction-{T}(V0,V1,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #86: input, references = 32, size of lhs = 2:
% 130.32/130.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 number of initial rules = 87
% 130.32/130.54
% 130.32/130.54 Simplifiers:
% 130.32/130.54 #87: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #88: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #89: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #90: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 P_relation_rng_restriction-{F}(V0,V1,V2), P_relation_rng_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #91: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #92: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #93: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #94: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #95: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #96: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #97: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #98: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #99: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #100: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #101: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #102: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #103: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V1,V2), V0 == V3 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #104: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V2), V1 == V4 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #105: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V5), V2 == V5 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #106: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #107: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp14-{F}(V0,V1), pppp14-{F}(V2,V3), V0 == V2 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #108: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #109: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #110: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #111: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #112: unsound, references = 3, size of lhs = 3:
% 130.32/130.54 pppp20-{F}(V0,V1,V2), pppp20-{F}(V0,V4,V5), V2 == V5 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 number of simplifiers = 26
% 130.32/130.54
% 130.32/130.54 Learnt:
% 130.32/130.54 #119: mergings( V0 == V2; #116 ), references = 1, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #121: mergings( V0 == V2; #117 ), references = 1, size of lhs = 2:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #131: mergings( V0 == V2; #128 ), references = 1, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #133: mergings( V0 == V2; #129 ), references = 1, size of lhs = 2:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #139: mergings( V0 == V3; #137 ), references = 1, size of lhs = 7:
% 130.32/130.54 P_empty_set-{F}(V0), element-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V1,V4), pppp1-{F}(V5,V3,V6), P_apply-{F}(V6,V1,V7), V4 == V7 | empty-{T}(V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #148: mergings( V3 == V4, V4 == V5; #143 ), references = 3, size of lhs = 8:
% 130.32/130.54 P_empty_set-{F}(V0), element-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V1,V4), P_powerset-{F}(V5,V2), pppp1-{F}(V6,V3,V7), P_apply-{F}(V7,V1,V8), V4 == V8 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #151: mergings( V3 == V4, V4 == V5; #144 ), references = 2, size of lhs = 8:
% 130.32/130.54 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0, P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V1,V4), pppp1-{F}(V5,V3,V6), P_apply-{F}(V6,V1,V7), V4 == V7 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #154: mergings( V3 == V4, V4 == V5; #145 ), references = 1, size of lhs = 9:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), element-{F}(V2,V3), V3 == V1, P_relation_dom-{F}(V4,V3), P_apply-{F}(V4,V2,V5), pppp1-{F}(V6,V4,V7), P_apply-{F}(V7,V2,V8), V5 == V8 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #160: mergings( V3 == V4, V4 == V5; #155 ), references = 1, size of lhs = 6:
% 130.32/130.54 P_empty_set-{F}(V0), element-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V1,V4), P_powerset-{F}(V5,V2), pppp1-{F}(V6,V3,V7) | P_apply-{T}(V7,V1,V4)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #163: mergings( V3 == V4, V4 == V5; #156 ), references = 2, size of lhs = 6:
% 130.32/130.54 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0, P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V1,V4), pppp1-{F}(V5,V3,V6) | P_apply-{T}(V6,V1,V4)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #167: mergings( V3 == V4, V4 == V5, V7 == V5; #157 ), references = 1, size of lhs = 7:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0), P_relation_dom-{F}(V3,V0), P_apply-{F}(V3,V2,V4), pppp1-{F}(V5,V3,V6) | P_apply-{T}(V6,V2,V4)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #172: mergings( V0 == V3; #168 ), references = 1, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #174: mergings( V0 == V3; #169 ), references = 7, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #177: mergings( V0 == V3, V2 == V3; #170 ), references = 1, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #183: mergings( V0 == V2; #180 ), references = 1, size of lhs = 1:
% 130.32/130.54 P_empty_set-{F}(V0) | pppp11-{T}(V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #185: mergings( V0 == V2; #181 ), references = 1, size of lhs = 2:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1) | pppp11-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #192: mergings( V2 == V3; #189 ), references = 1, size of lhs = 2:
% 130.32/130.54 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #194: mergings( V2 == V3; #190 ), references = 1, size of lhs = 3:
% 130.32/130.54 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #218: mergings( V0 == V3, V3 == V4; #215 ), references = 13, size of lhs = 5:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #222: mergings( V0 == V3; #220 ), references = 1, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp2-{T}(V2,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #244: mergings( V0 == V4; #242 ), references = 1, size of lhs = 2:
% 130.32/130.54 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp7-{T}(V0,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #277: mergings( V0 == V3; #273 ), references = 1, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp18-{T}(V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #280: mergings( V0 == V3, V1 == V3; #274 ), references = 1, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #284: mergings( V0 == V3, V2 == V4, V1 == V3; #275 ), references = 1, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp18-{T}(V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #386: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6; #380 ), references = 1, size of lhs = 7:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1), P_relation_dom-{F}(V3,V4), V4 == V0, pppp1-{F}(V5,V3,V6), pppp1-{F}(V5,V2,V6) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #392: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V9 == V6; #381 ), references = 1, size of lhs = 9:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V0), P_relation_dom-{F}(V4,V5), V5 == V0, pppp1-{F}(V6,V4,V7), pppp1-{F}(V6,V3,V7) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #455: disj( #78, #79+#77 ), references = 5, size of lhs = 5:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_apply-{F}(V1,V3,V4), pppp16-{F}(V5,V1,V3,V2), pppp16-{F}(V5,V1,V3,V6) | in-{T}(V3,V6)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #457: mergings( V4 == V5; #452 ), references = 4, size of lhs = 5:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1), P_apply-{F}(V2,V3,V4), pppp16-{F}(V5,V2,V3,V6) | in-{T}(V3,V6)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #460: mergings( V4 == V5, V8 == V5; #454 ), references = 1, size of lhs = 7:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V0), P_apply-{F}(V3,V4,V5), pppp16-{F}(V6,V3,V4,V7) | in-{T}(V4,V7)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #466: mergings( V3 == V4; #463 ), references = 6, size of lhs = 6:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V3), P_apply-{F}(V2,V4,V5), pppp16-{F}(V6,V2,V4,V3), pppp16-{F}(V6,V2,V4,V1) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #469: mergings( V3 == V4, V7 == V4; #464 ), references = 2, size of lhs = 8:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V5,V6), pppp16-{F}(V7,V3,V5,V4), pppp16-{F}(V7,V3,V5,V0) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #490: exists( #86, #466 ), references = 6, size of lhs = 5:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V3), pppp16-{F}(V4,V2,V5,V3), pppp16-{F}(V4,V2,V5,V1) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #491: exists( #86, #469 ), references = 3, size of lhs = 7:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V4), pppp16-{F}(V5,V3,V6,V4), pppp16-{F}(V5,V3,V6,V0) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #494: exists( #73, #488 ), references = 2, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1), pppp19-{F}(V3,V2,V1) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #495: exists( #73, #489 ), references = 1, size of lhs = 6:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V0), pppp19-{F}(V4,V3,V0) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #541: exists( #86, #75 ), references = 1, size of lhs = 1:
% 130.32/130.54 pppp17-{F}(V0,V0,V1,V2) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #543: exists( #74, #540 ), references = 1, size of lhs = 1:
% 130.32/130.54 pppp20-{F}(V0,V0,V1) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #546: mergings( V0 == V4; #544 ), references = 7, size of lhs = 6:
% 130.32/130.54 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_relation_rng_restriction-{F}(V3,V1,V4), V1 == V4 | pppp19-{T}(V3,V1,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #553: mergings( V3 == V4, V4 == V5; #549 ), references = 4, size of lhs = 6:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_relation_dom-{F}(V0,V2), #-{F} V3 | P_relation_rng_restriction-{T}(V3,V0,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #595: exists( #86, #589 ), references = 1, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp17-{F}(V3,V4,V2,V1), P_apply-{F}(V4,V2,V5) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #596: exists( #86, #590 ), references = 1, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), pppp17-{F}(V2,V3,V4,V1), P_apply-{F}(V3,V4,V5) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #598: mergings( V6 == V3; #594 ), references = 1, size of lhs = 6:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp17-{F}(V3,V4,V5,V0), P_apply-{F}(V4,V5,V6) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #602: exists( #86, #593 ), references = 1, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), pppp17-{F}(V2,V3,V4,V1) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #604: mergings( V6 == V3; #601 ), references = 1, size of lhs = 5:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp17-{F}(V3,V4,V5,V0) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #605: exists( #86, #592 ), references = 1, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp17-{F}(V3,V4,V2,V1) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #608: exists( #74, #600 ), references = 1, size of lhs = 3:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), pppp20-{F}(V2,V3,V1) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #610: mergings( V2 == V4; #607 ), references = 1, size of lhs = 5:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp20-{F}(V3,V4,V0) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #684: mergings( V0 == V5, V5 == V7; #680 ), references = 11, size of lhs = 9:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #687: mergings( V0 == V5, V5 == V4; #681 ), references = 1, size of lhs = 11:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #710: mergings( V3 == V4, V4 == V5; #707 ), references = 1, size of lhs = 7:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V4), pppp16-{F}(V5,V3,V6,V4), V6 == V0, pppp16-{F}(V5,V3,V6,V2) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #714: mergings( V4 == V5, V5 == V6; #711 ), references = 8, size of lhs = 5:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp19-{F}(V4,V3,V2) | pppp16-{T}(V4,V3,V0,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #722: mergings( V3 == V4, V4 == V5; #719 ), references = 13, size of lhs = 5:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V4), pppp0-{F}(V2,V3,V5) | P_apply-{T}(V3,V5,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #738: mergings( V3 == V4; #736 ), references = 1, size of lhs = 8:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), in-{F}(V1,V3), P_relation_dom-{F}(V0,V3), pppp0-{F}(V4,V0,V1) | P_relation_rng_restriction-{T}(V4,V0,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #780: mergings( V3 == V4, V4 == V5; #777 ), references = 7, size of lhs = 10:
% 130.32/130.54 P_empty_set-{F}(V0), in-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V1,V4), in-{F}(V4,V5), pppp1-{F}(V5,V6,V3), P_relation_dom-{F}(V6,V7), P_relation_dom-{F}(V8,V7), pppp1-{F}(V9,V8,V10), P_apply-{F}(V10,V1,V11) | P_apply-{T}(V8,V1,V11)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #808: mergings( V4 == V5; #806 ), references = 2, size of lhs = 7:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), pppp14-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_relation_dom-{F}(V0,V3), P_apply-{F}(V0,V1,V4) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #838: mergings( V3 == V4; #836 ), references = 2, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), pppp0-{F}(V4,V1,V3) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #872: exists( #86, #808 ), references = 1, size of lhs = 6:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), pppp14-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_relation_dom-{F}(V0,V3) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #874: exists( #61, #871 ), references = 1, size of lhs = 6:
% 130.32/130.54 pppp15-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_relation_dom-{F}(V0,V2) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #908: mergings( V0 == V5, V5 == V7; #904 ), references = 1, size of lhs = 9:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #911: mergings( V0 == V5, V5 == V4; #905 ), references = 1, size of lhs = 11:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #931: mergings( V0 == V5, V5 == V7; #927 ), references = 1, size of lhs = 9:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #934: mergings( V0 == V5, V5 == V4; #928 ), references = 1, size of lhs = 11:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #943: mergings( V3 == V4; #940 ), references = 4, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V3), pppp0-{F}(V1,V2,V4) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #946: mergings( V3 == V4, V7 == V4; #941 ), references = 4, size of lhs = 6:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V4), pppp0-{F}(V0,V3,V5) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1037: mergings( V0 == V3, V3 == V4, V4 == V5; #1032 ), references = 1, size of lhs = 6:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V3), V3 == V0, pppp1-{F}(V1,V2,V4), P_relation_dom-{F}(V4,V5) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1041: mergings( V0 == V3, V3 == V4, V4 == V5; #1033 ), references = 1, size of lhs = 8:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V4), V4 == V0, pppp1-{F}(V0,V3,V5), P_relation_dom-{F}(V5,V6) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1047: mergings( V2 == V3, V3 == V4, V4 == V5; #1042 ), references = 2, size of lhs = 4:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V1,V2,V3), P_relation_dom-{F}(V3,V4) | P_relation_dom-{T}(V2,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1051: mergings( V2 == V3, V3 == V4, V4 == V5; #1043 ), references = 1, size of lhs = 6:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp1-{F}(V0,V3,V4), P_relation_dom-{F}(V4,V5) | P_relation_dom-{T}(V3,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1099: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #1093 ), references = 1, size of lhs = 6:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1), empty-{F}(V2), P_relation_dom-{F}(V0,V3) | P_relation_rng_restriction-{T}(V2,V0,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1190: mergings( V0 == V5, V5 == V7; #1185 ), references = 1, size of lhs = 13:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V1), P_empty_set-{F}(V3), in-{F}(V3,V1), empty-{F}(V4), P_powerset-{F}(V4,V1), pppp0-{F}(V5,V2,V3), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp20-{T}(V0,V2,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1194: mergings( V0 == V5, V5 == V10, V4 == V6; #1186 ), references = 1, size of lhs = 11:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V0,V2), P_relation_dom-{F}(V3,V2), in-{F}(V4,V2), P_apply-{F}(V3,V4,V5), P_relation_dom-{F}(V6,V2), P_apply-{F}(V6,V4,V7), V5 == V7, pppp0-{F}(V8,V6,V0) | pppp20-{T}(V3,V6,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1199: mergings( V0 == V5, V5 == V11, V4 == V7, V6 == V11; #1187 ), references = 1, size of lhs = 12:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V0,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V0,V4), P_powerset-{F}(V5,V2), P_relation_dom-{F}(V6,V2), P_apply-{F}(V6,V0,V7), V4 == V7, pppp0-{F}(V8,V6,V0) | pppp20-{T}(V3,V6,V2)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1204: mergings( V0 == V5, V5 == V7; #1200 ), references = 1, size of lhs = 9:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1207: mergings( V0 == V5, V5 == V4; #1201 ), references = 1, size of lhs = 11:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1215: mergings( V0 == V5, V5 == V7; #1211 ), references = 1, size of lhs = 9:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1218: mergings( V0 == V5, V5 == V4; #1212 ), references = 1, size of lhs = 11:
% 130.32/130.54 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1302: mergings( V2 == V3, V3 == V4; #1298 ), references = 1, size of lhs = 13:
% 130.32/130.54 P_empty_set-{F}(V0), in-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V1,V4), in-{F}(V4,V5), pppp1-{F}(V5,V6,V3), pppp1-{F}(V7,V6,V8), pppp0-{F}(V7,V8,V1), pppp1-{F}(V9,V6,V10), P_apply-{F}(V10,V1,V11), pppp1-{F}(V12,V6,V13), P_apply-{F}(V13,V1,V14), V11 == V14 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1306: mergings( V3 == V4, V4 == V5; #1303 ), references = 1, size of lhs = 11:
% 130.32/130.54 P_empty_set-{F}(V0), in-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V1,V4), in-{F}(V4,V5), pppp1-{F}(V5,V6,V3), pppp1-{F}(V7,V6,V8), pppp0-{F}(V7,V8,V1), pppp1-{F}(V9,V6,V10), P_apply-{F}(V10,V1,V11), pppp1-{F}(V12,V6,V13) | P_apply-{T}(V13,V1,V11)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1368: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1360 ), references = 4, size of lhs = 10:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp1-{F}(V4,V5,V3), pppp1-{F}(V6,V5,V7), pppp0-{F}(V6,V7,V8), P_apply-{F}(V3,V8,V9), pppp1-{F}(V8,V1,V10), P_apply-{F}(V10,V8,V2), P_relation_dom-{F}(V10,V11) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1375: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V13 == V16; #1361 ), references = 3, size of lhs = 10:
% 130.32/130.54 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp1-{F}(V4,V5,V3), pppp1-{F}(V6,V5,V7), pppp0-{F}(V6,V7,V8), P_apply-{F}(V3,V8,V9), pppp1-{F}(V8,V1,V10), P_apply-{F}(V10,V8,V2), P_relation_dom-{F}(V10,V11) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1382: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10; #1362 ), references = 2, size of lhs = 20:
% 130.32/130.54 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V3,V4), pppp1-{F}(V1,V3,V5), P_relation_dom-{F}(V5,V6), P_relation_dom-{F}(V7,V4), pppp1-{F}(V8,V9,V7), pppp1-{F}(V10,V9,V5), pppp1-{F}(V11,V9,V12), pppp0-{F}(V11,V12,V13), in-{F}(V13,V14), P_apply-{F}(V7,V13,V15), P_relation_dom-{F}(V16,V14), P_apply-{F}(V16,V13,V17), in-{F}(V17,V18), pppp1-{F}(V18,V9,V16), pppp1-{F}(V19,V9,V20), P_apply-{F}(V20,V13,V21), V21 == V2 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1460: mergings( V0 == V3, V3 == V4, V4 == V5; #1456 ), references = 1, size of lhs = 6:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0 | pppp2-{T}(V4,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1489: mergings( V3 == V4, V4 == V5, V5 == V6; #1483 ), references = 2, size of lhs = 9:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V4,V5), in-{F}(V6,V7), in-{F}(V7,V8), pppp16-{F}(V9,V4,V8,V5), pppp16-{F}(V9,V4,V8,V3) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1493: mergings( V3 == V4, V4 == V5, V5 == V6; #1484 ), references = 3, size of lhs = 9:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V4,V5), in-{F}(V6,V7), V6 == V0, pppp16-{F}(V8,V4,V7,V5), pppp16-{F}(V8,V4,V7,V3) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1616: mergings( V3 == V4; #1614 ), references = 1, size of lhs = 9:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V4,V5), pppp0-{F}(V6,V4,V7), P_relation_dom-{F}(V8,V9), pppp16-{F}(V10,V8,V6,V9), pppp16-{F}(V10,V8,V6,V3) | P_apply-{T}(V4,V7,V0)
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1670: mergings( V3 == V4, V4 == V5; #1665 ), references = 1, size of lhs = 8:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), in-{F}(V5,V6), pppp17-{F}(V7,V8,V6,V3), P_apply-{F}(V7,V6,V9) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1673: mergings( V3 == V4, V4 == V5; #1666 ), references = 1, size of lhs = 8:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), V4 == V0, pppp17-{F}(V6,V7,V5,V3), P_apply-{F}(V6,V5,V8) | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1676: mergings( V3 == V4, V4 == V5; #1667 ), references = 1, size of lhs = 11:
% 130.32/130.54 P_empty_set-{F}(V0), in-{F}(V1,V2), P_apply-{F}(V3,V2,V4), pppp17-{F}(V3,V5,V2,V6), P_powerset-{F}(V7,V6), P_relation_dom-{F}(V8,V7), P_apply-{F}(V8,V1,V9), P_powerset-{F}(V10,V7), pppp1-{F}(V11,V8,V12), P_apply-{F}(V12,V1,V13), V9 == V13 | FALSE
% 130.32/130.54 (used 0 times, uses = {})
% 130.32/130.54
% 130.32/130.54 #1682: mergings( V3 == V4, V4 == V5; #1677 ), references = 2, size of lhs = 7:
% 130.32/130.54 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), in-{F}(V5,V6), pppp17-{F}(V7,V8,V6,V3) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1685: mergings( V3 == V4, V4 == V5; #1678 ), references = 1, size of lhs = 7:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), V4 == V0, pppp17-{F}(V6,V7,V5,V3) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1688: mergings( V3 == V4, V4 == V5; #1679 ), references = 1, size of lhs = 10:
% 130.32/130.55 P_empty_set-{F}(V0), in-{F}(V1,V2), P_relation_dom-{F}(V3,V4), P_powerset-{F}(V4,V5), P_apply-{F}(V3,V1,V6), P_powerset-{F}(V7,V4), pppp17-{F}(V8,V9,V2,V5), pppp1-{F}(V10,V3,V11), P_apply-{F}(V11,V1,V12), V6 == V12 | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1788: exists( #86, #1782 ), references = 1, size of lhs = 10:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V4,V5), in-{F}(V6,V7), P_apply-{F}(V8,V7,V9), pppp17-{F}(V10,V8,V7,V11), pppp16-{F}(V12,V4,V11,V5), pppp16-{F}(V12,V4,V11,V3) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1789: exists( #86, #1783 ), references = 1, size of lhs = 10:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V4,V5), pppp16-{F}(V6,V4,V7,V5), pppp16-{F}(V6,V4,V7,V3), pppp17-{F}(V8,V9,V10,V7), V10 == V0, P_apply-{F}(V9,V10,V11) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1790: exists( #86, #1784 ), references = 1, size of lhs = 8:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), P_apply-{F}(V6,V5,V7), pppp17-{F}(V8,V6,V5,V9), pppp17-{F}(V10,V11,V9,V3) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1794: exists( #86, #1785 ), references = 1, size of lhs = 9:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V4,V5), in-{F}(V6,V7), pppp16-{F}(V8,V4,V9,V5), pppp16-{F}(V8,V4,V9,V3), pppp17-{F}(V10,V11,V7,V9) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1795: exists( #86, #1786 ), references = 1, size of lhs = 9:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V4,V5), pppp16-{F}(V6,V4,V7,V5), pppp16-{F}(V6,V4,V7,V3), pppp17-{F}(V8,V9,V10,V7), V10 == V0 | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1796: exists( #86, #1787 ), references = 1, size of lhs = 7:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), pppp17-{F}(V6,V7,V5,V8), pppp17-{F}(V9,V10,V8,V3) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1798: exists( #74, #1792 ), references = 2, size of lhs = 8:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V4,V5), pppp16-{F}(V6,V4,V7,V5), pppp16-{F}(V6,V4,V7,V3), pppp20-{F}(V8,V9,V7) | pppp17-{T}(V8,V9,V0,V7)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1858: mergings( V0 == V5, V5 == V7; #1854 ), references = 1, size of lhs = 16:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), P_apply-{F}(V0,V3,V7), P_apply-{F}(V2,V3,V7), P_relation_rng_restriction-{F}(V8,V2,V9), V0 == V9, P_relation_dom-{F}(V10,V11), pppp16-{F}(V12,V10,V1,V11), pppp16-{F}(V12,V10,V1,V6) | pppp19-{T}(V8,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1969: mergings( V0 == V5, V5 == V14, V4 == V14; #1960 ), references = 1, size of lhs = 11:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V1,V0), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V4,V3), pppp1-{F}(V5,V1,V4), P_apply-{F}(V4,V6,V7), pppp1-{F}(V6,V2,V8), P_apply-{F}(V8,V6,V3), P_relation_dom-{F}(V8,V9), pppp0-{F}(V10,V11,V6) | pppp19-{T}(V10,V11,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1973: mergings( V0 == V5, V5 == V14, V4 == V14; #1962 ), references = 1, size of lhs = 11:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V1,V0), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V4,V3), pppp1-{F}(V5,V1,V4), P_apply-{F}(V4,V6,V7), pppp1-{F}(V6,V2,V8), P_apply-{F}(V8,V6,V3), P_relation_dom-{F}(V8,V9), pppp0-{F}(V10,V11,V6) | pppp19-{T}(V10,V11,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #1976: mergings( V0 == V5, V5 == V4; #1961 ), references = 1, size of lhs = 13:
% 130.32/130.55 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V0), empty-{F}(V2), P_powerset-{F}(V2,V3), element-{F}(V0,V3), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V6,V5), pppp1-{F}(V7,V1,V6), P_apply-{F}(V6,V8,V9), pppp1-{F}(V8,V4,V10), P_apply-{F}(V10,V8,V5), P_relation_dom-{F}(V10,V11), pppp0-{F}(V12,V13,V8) | pppp19-{T}(V12,V13,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2050: mergings( V0 == V5, V5 == V7; #2046 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2053: mergings( V0 == V5, V5 == V4; #2047 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2057: disj( #78, input ), references = 14, size of lhs = 3:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), pppp16-{F}(V2,V3,V4,V1) | pppp0-{T}(V2,V3,V4)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2059: mergings( V3 == V4; #2055 ), references = 1, size of lhs = 5:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp16-{F}(V3,V4,V5,V0) | pppp0-{T}(V3,V4,V5)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2060: disj( #78, input ), references = 4, size of lhs = 7:
% 130.32/130.55 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp1-{F}(V3,V1,V4), P_apply-{F}(V1,V5,V6), P_apply-{F}(V4,V5,V7), V6 == V7, pppp16-{F}(V8,V9,V5,V2) | pppp0-{T}(V8,V9,V5)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2148: mergings( V0 == V5, V5 == V7; #2144 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2151: mergings( V0 == V5, V5 == V4; #2145 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2230: mergings( V3 == V4; #2227 ), references = 1, size of lhs = 9:
% 130.32/130.55 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_relation_dom-{F}(V3,V4), in-{F}(V5,V4), P_apply-{F}(V3,V5,V6), pppp16-{F}(V7,V1,V6,V2), pppp16-{F}(V7,V1,V6,V8), pppp16-{F}(V8,V3,V5,V9), in-{F}(V5,V9) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2343: mergings( V0 == V5, V5 == V7; #2339 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2346: mergings( V0 == V5, V5 == V4; #2340 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2371: mergings( V0 == V4, V3 == V5, V5 == V6; #2365 ), references = 1, size of lhs = 4:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V3), V3 == V0 | pppp19-{T}(V1,V2,V3)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2375: mergings( V0 == V1, V3 == V6, V6 == V7; #2366 ), references = 1, size of lhs = 6:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V4), V4 == V0 | pppp19-{T}(V0,V3,V4)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2381: mergings( V0 == V5, V5 == V7; #2377 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2384: mergings( V0 == V5, V5 == V4; #2378 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2442: mergings( V0 == V5, V5 == V7; #2438 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2445: mergings( V0 == V5, V5 == V4; #2439 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2499: mergings( V0 == V5, V5 == V7; #2495 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2502: mergings( V0 == V5, V5 == V4; #2496 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2527: mergings( V0 == V4, V4 == V5, V5 == V7, V3 == V8, V8 == V10, V10 == V12; #2518 ), references = 1, size of lhs = 7:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), in-{F}(V3,V4), P_relation_dom-{F}(V5,V4), P_apply-{F}(V5,V3,V6), V6 == V2 | pppp19-{T}(V1,V5,V4)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2534: mergings( V0 == V4, V4 == V5, V5 == V7, V3 == V8, V8 == V10, V10 == V11; #2519 ), references = 1, size of lhs = 9:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), in-{F}(V3,V4), element-{F}(V3,V4), P_relation_dom-{F}(V5,V4), P_powerset-{F}(V6,V4), P_apply-{F}(V5,V3,V7), V2 == V7 | pppp19-{T}(V1,V5,V4)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2541: mergings( V0 == V4, V4 == V5, V5 == V7, V3 == V8, V8 == V10, V10 == V12; #2520 ), references = 1, size of lhs = 9:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), in-{F}(V3,V4), V4 == V2, element-{F}(V3,V4), P_relation_dom-{F}(V5,V4), P_apply-{F}(V5,V3,V6), V6 == V2 | pppp19-{T}(V1,V5,V4)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2658: mergings( V0 == V5, V5 == V7; #2654 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2661: mergings( V0 == V5, V5 == V4; #2655 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2666: mergings( V0 == V5, V5 == V7; #2662 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2669: mergings( V0 == V5, V5 == V4; #2663 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2674: mergings( V0 == V5, V5 == V7; #2670 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2677: mergings( V0 == V5, V5 == V4; #2671 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2679: exists( #85, #68 ), references = 1, size of lhs = 6:
% 130.32/130.55 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), pppp1-{F}(V3,V1,V2) | P_relation_rng_restriction-{T}(V3,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2699: mergings( V0 == V4, V3 == V7, V5 == V4; #2694 ), references = 1, size of lhs = 6:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V1,V0), pppp1-{F}(V2,V1,V3), P_relation_dom-{F}(V3,V4), V4 == V0 | pppp19-{T}(V2,V3,V4)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2702: mergings( V0 == V4, V3 == V8; #2695 ), references = 1, size of lhs = 8:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V0), pppp1-{F}(V4,V3,V5), P_relation_dom-{F}(V5,V6), V6 == V0 | pppp19-{T}(V4,V5,V6)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2746: mergings( V0 == V5, V5 == V7; #2742 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2749: mergings( V0 == V5, V5 == V4; #2743 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2764: mergings( V0 == V5, V5 == V7; #2760 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2767: mergings( V0 == V5, V5 == V4; #2761 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2772: mergings( V0 == V5, V5 == V7; #2768 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2775: mergings( V0 == V5, V5 == V4; #2769 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2780: mergings( V0 == V5, V5 == V7; #2776 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2783: mergings( V0 == V5, V5 == V4; #2777 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2788: mergings( V0 == V5, V5 == V7; #2784 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2791: mergings( V0 == V5, V5 == V4; #2785 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2859: mergings( V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V6 == V14, V14 == V15, V15 == V17, V20 == V24; #2846 ), references = 2, size of lhs = 17:
% 130.32/130.55 empty-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V1), P_relation_dom-{F}(V5,V1), in-{F}(V1,V6), in-{F}(V1,V7), pppp1-{F}(V7,V5,V8), pppp19-{F}(V3,V8,V0), pppp1-{F}(V9,V4,V8), pppp1-{F}(V6,V10,V8), pppp1-{F}(V11,V10,V4), P_relation_dom-{F}(V8,V12) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2871: mergings( V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V6 == V14, V14 == V15, V15 == V17, V20 == V24; #2847 ), references = 2, size of lhs = 17:
% 130.32/130.55 empty-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V1), P_relation_dom-{F}(V5,V1), in-{F}(V1,V6), in-{F}(V1,V7), pppp1-{F}(V7,V5,V8), pppp19-{F}(V3,V8,V0), pppp1-{F}(V9,V4,V8), pppp1-{F}(V6,V10,V8), pppp1-{F}(V11,V10,V4), P_relation_dom-{F}(V8,V12) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2890: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V22, V8 == V22, V22 == V4, V4 == V17, V17 == V18, V19 == V21; #2872 ), references = 1, size of lhs = 12:
% 130.32/130.55 empty-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), empty-{F}(V4), P_relation_dom-{F}(V3,V4), P_empty_set-{F}(V4), in-{F}(V4,V5), pppp19-{F}(V2,V6,V0), pppp1-{F}(V7,V3,V3), P_relation_dom-{F}(V6,V8) | pppp19-{T}(V5,V6,V4)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2905: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V22, V8 == V22, V22 == V4, V4 == V17, V17 == V18, V19 == V21; #2874 ), references = 1, size of lhs = 12:
% 130.32/130.55 empty-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), empty-{F}(V4), P_relation_dom-{F}(V3,V4), P_empty_set-{F}(V4), in-{F}(V4,V5), pppp19-{F}(V2,V6,V0), pppp1-{F}(V7,V3,V3), P_relation_dom-{F}(V6,V8) | pppp19-{T}(V5,V6,V4)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #2919: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V4, V4 == V13, V13 == V14, V14 == V15, V15 == V16, V8 == V16, V16 == V17, V17 == V18, V19 == V21; #2873 ), references = 1, size of lhs = 15:
% 130.32/130.55 empty-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V1), in-{F}(V1,V5), pppp19-{F}(V3,V6,V0), pppp1-{F}(V7,V4,V4), P_relation_dom-{F}(V6,V8), empty-{F}(V9), P_powerset-{F}(V9,V10), element-{F}(V1,V10) | pppp19-{T}(V5,V6,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3017: mergings( V5 == V6; #3014 ), references = 1, size of lhs = 21:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V3), P_relation_dom-{F}(V7,V3), in-{F}(V3,V8), in-{F}(V3,V9), pppp1-{F}(V9,V7,V2), pppp1-{F}(V10,V6,V2), pppp1-{F}(V8,V11,V2), pppp1-{F}(V12,V11,V6), P_relation_dom-{F}(V2,V13) | P_relation_rng_restriction-{T}(V5,V2,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3019: mergings( V5 == V6; #3015 ), references = 1, size of lhs = 21:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V3), P_relation_dom-{F}(V7,V3), in-{F}(V3,V8), in-{F}(V3,V9), pppp1-{F}(V9,V7,V2), pppp1-{F}(V10,V6,V2), pppp1-{F}(V8,V11,V2), pppp1-{F}(V12,V11,V6), P_relation_dom-{F}(V2,V13) | P_relation_rng_restriction-{T}(V5,V2,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3145: mergings( V0 == V4, V4 == V5, V5 == V6, V3 == V7, V7 == V9; #3139 ), references = 1, size of lhs = 5:
% 130.32/130.55 P_empty_set-{F}(V0), in-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V1,V4), in-{F}(V5,V4) | pppp19-{T}(V5,V3,V2)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3200: mergings( V0 == V5, V5 == V7; #3196 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3203: mergings( V0 == V5, V5 == V4; #3197 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3300: mergings( V0 == V4, V4 == V5, V5 == V6, V3 == V7, V7 == V9; #3294 ), references = 1, size of lhs = 9:
% 130.32/130.55 P_empty_set-{F}(V0), in-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V1,V4), P_relation_dom-{F}(V5,V6), in-{F}(V7,V6), P_apply-{F}(V5,V7,V4), in-{F}(V7,V8), pppp16-{F}(V9,V5,V7,V8) | pppp19-{T}(V9,V3,V2)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3421: mergings( V0 == V5, V5 == V7; #3417 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3424: mergings( V0 == V5, V5 == V4; #3418 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3435: mergings( V0 == V5, V5 == V13, V8 == V9, V4 == V13; #3425 ), references = 1, size of lhs = 11:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V1,V0), P_relation_dom-{F}(V2,V3), in-{F}(V4,V3), P_apply-{F}(V2,V4,V5), in-{F}(V5,V6), pppp0-{F}(V6,V2,V4), pppp1-{F}(V7,V1,V8), P_apply-{F}(V8,V4,V9), V5 == V9 | pppp19-{T}(V6,V2,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3439: mergings( V0 == V5, V5 == V4, V8 == V9; #3426 ), references = 1, size of lhs = 13:
% 130.32/130.55 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V0), empty-{F}(V2), P_powerset-{F}(V2,V3), element-{F}(V0,V3), P_relation_dom-{F}(V4,V5), in-{F}(V6,V5), P_apply-{F}(V4,V6,V7), in-{F}(V7,V8), pppp0-{F}(V8,V4,V6), pppp1-{F}(V9,V1,V10), P_apply-{F}(V10,V6,V11), V7 == V11 | pppp19-{T}(V8,V4,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3521: exists( #86, #3519 ), references = 1, size of lhs = 8:
% 130.32/130.55 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), in-{F}(V3,V5), pppp16-{F}(V6,V1,V3,V5), pppp17-{F}(V7,V8,V4,V6), P_apply-{F}(V7,V4,V9) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3523: exists( #86, #3520 ), references = 1, size of lhs = 7:
% 130.32/130.55 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), in-{F}(V3,V5), pppp16-{F}(V6,V1,V3,V5), pppp17-{F}(V7,V8,V4,V6) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3569: mergings( V0 == V5, V5 == V7; #3565 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3572: mergings( V0 == V5, V5 == V4; #3566 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3634: mergings( V4 == V5, V5 == V7, V7 == V8, V8 == V9, V11 == V12; #3628 ), references = 3, size of lhs = 8:
% 130.32/130.55 empty-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp19-{F}(V2,V3,V0), P_empty_set-{F}(V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_relation_dom-{F}(V3,V6) | pppp16-{T}(V2,V3,V4,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3652: mergings( V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V15, V13 == V14, V14 == V16; #3641 ), references = 1, size of lhs = 13:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_relation_dom-{F}(V2,V6), P_empty_set-{F}(V7), pppp16-{F}(V4,V2,V7,V6) | P_relation_rng_restriction-{T}(V4,V2,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3661: mergings( V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V15, V13 == V14, V14 == V16; #3642 ), references = 1, size of lhs = 14:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_relation_dom-{F}(V2,V6), P_empty_set-{F}(V7), pppp16-{F}(V4,V2,V7,V6), P_apply-{F}(V2,V7,V8) | P_relation_rng_restriction-{T}(V4,V2,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3670: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V13 == V14, V14 == V17; #3643 ), references = 1, size of lhs = 16:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_relation_dom-{F}(V2,V6), pppp16-{F}(V4,V2,V1,V6), empty-{F}(V7), P_powerset-{F}(V7,V8), element-{F}(V1,V8) | P_relation_rng_restriction-{T}(V4,V2,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3867: mergings( V0 == V6, V6 == V9, V9 == V11, V8 == V10; #3857 ), references = 1, size of lhs = 9:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V4,V3), P_empty_set-{F}(V5), pppp16-{F}(V1,V4,V5,V3), empty-{F}(V6), P_relation_dom-{F}(V7,V6) | pppp1-{T}(V1,V7,V4)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3872: mergings( V0 == V6, V6 == V9, V9 == V12, V8 == V10; #3859 ), references = 1, size of lhs = 10:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V4,V3), P_empty_set-{F}(V5), pppp16-{F}(V1,V4,V5,V3), P_apply-{F}(V4,V5,V6), empty-{F}(V7), P_relation_dom-{F}(V8,V7) | pppp1-{T}(V1,V8,V4)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3877: mergings( V0 == V6, V6 == V4, V4 == V9, V8 == V10; #3858 ), references = 1, size of lhs = 12:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), empty-{F}(V4), P_empty_set-{F}(V4), P_relation_dom-{F}(V5,V4), P_relation_dom-{F}(V6,V3), pppp16-{F}(V1,V6,V4,V3), empty-{F}(V7), P_powerset-{F}(V7,V8), element-{F}(V4,V8) | pppp1-{T}(V1,V5,V6)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3882: mergings( V0 == V5, V5 == V7; #3878 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3885: mergings( V0 == V5, V5 == V4; #3879 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3904: mergings( V4 == V5; #3901 ), references = 1, size of lhs = 5:
% 130.32/130.55 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp19-{F}(V2,V3,V0), P_relation_dom-{F}(V3,V4) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #3906: mergings( V4 == V0; #3902 ), references = 1, size of lhs = 7:
% 130.32/130.55 empty-{F}(V0), P_empty_set-{F}(V1), pppp19-{F}(V1,V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_dom-{F}(V2,V5) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4081: mergings( V0 == V5, V5 == V7; #4075 ), references = 1, size of lhs = 5:
% 130.32/130.55 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_relation_dom-{F}(V3,V2), P_relation_dom-{F}(V4,V5) | pppp1-{T}(V0,V3,V4)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4084: mergings( V0 == V1, V1 == V8; #4077 ), references = 1, size of lhs = 7:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), P_relation_dom-{F}(V4,V3), P_relation_dom-{F}(V5,V6) | pppp1-{T}(V2,V4,V5)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4094: mergings( V0 == V5, V5 == V7; #4090 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4097: mergings( V0 == V5, V5 == V4; #4091 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4209: mergings( V4 == V5, V5 == V6, V6 == V7; #4205 ), references = 1, size of lhs = 7:
% 130.32/130.55 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V4,V3), pppp1-{F}(V5,V4,V6), pppp19-{F}(V5,V6,V0) | pppp16-{T}(V5,V6,V1,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4254: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V13, V13 == V14, V18 == V21; #4244 ), references = 1, size of lhs = 15:
% 130.32/130.55 empty-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_relation_dom-{F}(V6,V5), pppp19-{F}(V7,V6,V0), pppp1-{F}(V7,V8,V6), P_relation_dom-{F}(V8,V9), V9 == V3, P_relation_dom-{F}(V10,V9), pppp1-{F}(V2,V10,V11), P_relation_dom-{F}(V11,V9), pppp1-{F}(V12,V11,V6) | pppp16-{T}(V7,V6,V3,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4377: mergings( V0 == V5, V5 == V7; #4373 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4380: mergings( V0 == V5, V5 == V4; #4374 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4388: mergings( V0 == V5, V5 == V7; #4384 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4391: mergings( V0 == V5, V5 == V4; #4385 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4400: exists( #86, #4398 ), references = 1, size of lhs = 7:
% 130.32/130.55 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp1-{F}(V3,V1,V4), P_apply-{F}(V4,V5,V6), pppp13-{F}(V7,V5,V8), P_relation_rng_restriction-{F}(V7,V8,V1), P_apply-{F}(V8,V5,V9) | P_apply-{T}(V1,V5,V6)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4406: mergings( V7 == V10, V6 == V11, V8 == V9; #4402 ), references = 2, size of lhs = 6:
% 130.32/130.55 P_empty_set-{F}(V0), pppp13-{F}(V1,V2,V3), P_relation_rng_restriction-{F}(V1,V3,V4), P_apply-{F}(V3,V2,V5), P_apply-{F}(V6,V2,V5), pppp1-{F}(V7,V4,V6) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4524: mergings( V0 == V5, V5 == V7; #4520 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4527: mergings( V0 == V5, V5 == V4; #4521 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4570: mergings( V0 == V5, V5 == V7; #4566 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4573: mergings( V0 == V5, V5 == V4; #4567 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4581: mergings( V0 == V5, V5 == V7; #4577 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4584: mergings( V0 == V5, V5 == V4; #4578 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4589: mergings( V0 == V5, V5 == V7; #4585 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4592: mergings( V0 == V5, V5 == V4; #4586 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4663: mergings( V3 == V4, V4 == V5; #4659 ), references = 1, size of lhs = 6:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp0-{F}(V4,V3,V5), in-{F}(V6,V5) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4666: mergings( V3 == V4, V4 == V5; #4660 ), references = 3, size of lhs = 6:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp0-{F}(V4,V3,V5), V5 == V0 | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4673: mergings( V4 == V5, V5 == V6, V6 == V7; #4669 ), references = 6, size of lhs = 6:
% 130.32/130.55 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_relation_dom-{F}(V4,V3), pppp19-{F}(V5,V4,V0) | pppp16-{T}(V5,V4,V1,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4691: mergings( V5 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V15, V8 == V14; #4682 ), references = 1, size of lhs = 13:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_relation_dom-{F}(V2,V4), empty-{F}(V5), P_powerset-{F}(V5,V4), P_empty_set-{F}(V6), #-{F} V7 | P_relation_rng_restriction-{T}(V7,V2,V0), P_relation_rng_restriction-{T}(V7,V2,V2)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4699: mergings( V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V12, V8 == V14; #4683 ), references = 1, size of lhs = 16:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_relation_dom-{F}(V2,V4), empty-{F}(V5), P_powerset-{F}(V5,V4), empty-{F}(V6), P_powerset-{F}(V6,V7), element-{F}(V1,V7), #-{F} V8 | P_relation_rng_restriction-{T}(V8,V2,V0), P_relation_rng_restriction-{T}(V8,V2,V2)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4852: mergings( V0 == V5, V5 == V7; #4848 ), references = 1, size of lhs = 9:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_rng_restriction-{F}(V4,V2,V5), V0 == V5 | pppp19-{T}(V4,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4855: mergings( V0 == V5, V5 == V4; #4849 ), references = 1, size of lhs = 11:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_relation_rng_restriction-{F}(V5,V2,V6), V0 == V6 | pppp19-{T}(V5,V2,V1)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4876: mergings( V3 == V5; #4872 ), references = 1, size of lhs = 9:
% 130.32/130.55 empty-{F}(V0), P_relation_dom-{F}(V1,V0), P_empty_set-{F}(V2), P_relation_dom-{F}(V3,V4), in-{F}(V5,V4), P_apply-{F}(V3,V5,V6), in-{F}(V5,V7), pppp16-{F}(V8,V3,V5,V7), pppp16-{F}(V9,V1,V6,V8) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4881: mergings( V3 == V5, V5 == V6, V6 == V9, V21 == V23; #4873 ), references = 1, size of lhs = 29:
% 130.32/130.55 empty-{F}(V0), P_relation_dom-{F}(V1,V0), empty-{F}(V2), P_powerset-{F}(V2,V3), P_empty_set-{F}(V4), in-{F}(V5,V6), in-{F}(V5,V7), in-{F}(V5,V8), P_relation_dom-{F}(V9,V6), P_apply-{F}(V9,V5,V10), P_relation_dom-{F}(V11,V7), P_apply-{F}(V11,V5,V10), P_relation_dom-{F}(V12,V8), P_apply-{F}(V12,V5,V10), pppp16-{F}(V13,V1,V10,V14), pppp1-{F}(V14,V15,V9), pppp1-{F}(V14,V15,V12), pppp1-{F}(V14,V16,V11), P_relation_dom-{F}(V16,V17), P_relation_dom-{F}(V18,V17), pppp1-{F}(V3,V18,V19), P_relation_dom-{F}(V19,V20), pppp1-{F}(V21,V15,V19), P_relation_dom-{F}(V22,V17), pppp1-{F}(V23,V15,V22), pppp1-{F}(V24,V15,V22), pppp1-{F}(V25,V22,V26), P_apply-{F}(V26,V5,V27), V27 == V4 | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4886: mergings( V3 == V5, V5 == V6, V6 == V7, V17 == V19; #4874 ), references = 1, size of lhs = 21:
% 130.32/130.55 empty-{F}(V0), P_relation_dom-{F}(V1,V0), P_empty_set-{F}(V2), in-{F}(V3,V4), in-{F}(V3,V5), P_relation_dom-{F}(V6,V4), P_apply-{F}(V6,V3,V7), P_relation_dom-{F}(V8,V5), P_apply-{F}(V8,V3,V7), pppp16-{F}(V9,V1,V7,V10), pppp1-{F}(V10,V11,V6), pppp1-{F}(V10,V12,V8), P_relation_dom-{F}(V12,V13), P_relation_dom-{F}(V14,V13), pppp1-{F}(V3,V14,V15), P_apply-{F}(V15,V3,V13), P_relation_dom-{F}(V15,V16), P_relation_dom-{F}(V17,V13), pppp1-{F}(V18,V11,V17), pppp1-{F}(V19,V17,V20), P_apply-{F}(V20,V3,V21) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #4995: mergings( V5 == V6, V6 == V9, V9 == V12, V8 == V11; #4988 ), references = 1, size of lhs = 13:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_relation_dom-{F}(V2,V4), empty-{F}(V5), P_powerset-{F}(V5,V4), P_empty_set-{F}(V6), #-{F} V7 | P_relation_rng_restriction-{T}(V7,V2,V0), P_relation_rng_restriction-{T}(V7,V2,V2)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5000: mergings( V5 == V6, V6 == V9, V9 == V10, V8 == V12; #4989 ), references = 1, size of lhs = 14:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_relation_dom-{F}(V2,V4), P_empty_set-{F}(V5), in-{F}(V5,V4), empty-{F}(V6), P_powerset-{F}(V6,V4), #-{F} V7 | P_relation_rng_restriction-{T}(V7,V2,V0), P_relation_rng_restriction-{T}(V7,V2,V2)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5005: mergings( V5 == V6, V6 == V9, V9 == V12, V8 == V11; #4990 ), references = 1, size of lhs = 14:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation-{F}(V2), function-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_relation_dom-{F}(V2,V4), empty-{F}(V5), P_powerset-{F}(V5,V4), P_empty_set-{F}(V6), P_apply-{F}(V2,V6,V7), #-{F} V8 | P_relation_rng_restriction-{T}(V8,V2,V0), P_relation_rng_restriction-{T}(V8,V2,V2)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5020: mergings( V2 == V3, V3 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V6 == V9, V9 == V16, V16 == V18; #5009 ), references = 1, size of lhs = 14:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), empty-{F}(V4), P_powerset-{F}(V4,V3), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V3), P_empty_set-{F}(V6), in-{F}(V7,V3), P_apply-{F}(V5,V7,V8) | P_relation_rng_restriction-{T}(V8,V5,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5031: mergings( V0 == V5, V5 == V6; #5023 ), references = 1, size of lhs = 5:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1), P_relation_dom-{F}(V3,V1), #-{F} V4 | pppp1-{T}(V4,V2,V3)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5126: mergings( V3 == V4; #5122 ), references = 1, size of lhs = 8:
% 130.32/130.55 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V5,V6), in-{F}(V7,V6), P_apply-{F}(V5,V7,V4), pppp16-{F}(V2,V5,V7,V8), in-{F}(V7,V8) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5129: mergings( V3 == V4, V4 == V5; #5123 ), references = 1, size of lhs = 14:
% 130.32/130.55 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), in-{F}(V5,V6), P_relation_dom-{F}(V7,V6), P_apply-{F}(V7,V5,V4), pppp1-{F}(V2,V8,V7), P_relation_dom-{F}(V9,V10), pppp1-{F}(V5,V9,V11), P_apply-{F}(V11,V5,V10), P_relation_dom-{F}(V11,V12), P_relation_dom-{F}(V13,V10), pppp1-{F}(V14,V8,V13), P_apply-{F}(V13,V5,V15) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5132: mergings( V3 == V4, V4 == V5; #5124 ), references = 1, size of lhs = 14:
% 130.32/130.55 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), in-{F}(V5,V6), P_relation_dom-{F}(V7,V6), P_apply-{F}(V7,V5,V4), pppp1-{F}(V2,V8,V7), P_relation_dom-{F}(V9,V10), pppp1-{F}(V5,V9,V11), P_apply-{F}(V11,V5,V10), P_relation_dom-{F}(V11,V12), P_relation_dom-{F}(V13,V10), pppp1-{F}(V14,V8,V13), P_apply-{F}(V13,V5,V15) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5247: mergings( V0 == V5, V5 == V8, V8 == V10, V7 == V9; #5237 ), references = 1, size of lhs = 7:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), P_relation_dom-{F}(V2,V1), P_empty_set-{F}(V3), pppp16-{F}(V4,V2,V3,V1), empty-{F}(V5), P_relation_dom-{F}(V6,V5) | pppp1-{T}(V4,V6,V2)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5252: mergings( V0 == V5, V5 == V8, V8 == V11, V7 == V9; #5239 ), references = 1, size of lhs = 8:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), P_relation_dom-{F}(V2,V1), P_empty_set-{F}(V3), pppp16-{F}(V4,V2,V3,V1), P_apply-{F}(V2,V3,V5), empty-{F}(V6), P_relation_dom-{F}(V7,V6) | pppp1-{T}(V4,V7,V2)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5257: mergings( V0 == V5, V5 == V8, V8 == V4, V7 == V9; #5238 ), references = 1, size of lhs = 10:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_empty_set-{F}(V2), P_relation_dom-{F}(V3,V2), P_relation_dom-{F}(V4,V1), pppp16-{F}(V5,V4,V2,V1), empty-{F}(V6), P_powerset-{F}(V6,V7), element-{F}(V2,V7) | pppp1-{T}(V5,V3,V4)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5321: mergings( V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V16 == V17; #5312 ), references = 1, size of lhs = 11:
% 130.32/130.55 empty-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_relation_dom-{F}(V6,V5), in-{F}(V3,V7), pppp1-{F}(V7,V6,V8), pppp19-{F}(V2,V8,V0), P_relation_dom-{F}(V8,V9) | pppp16-{T}(V2,V8,V3,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5329: mergings( V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V17 == V18; #5313 ), references = 1, size of lhs = 14:
% 130.32/130.55 empty-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), in-{F}(V3,V6), pppp19-{F}(V2,V7,V0), pppp1-{F}(V6,V8,V7), P_relation_dom-{F}(V7,V9), P_relation_dom-{F}(V8,V10), P_relation_dom-{F}(V11,V10), P_relation_dom-{F}(V12,V5), pppp1-{F}(V13,V11,V12) | pppp16-{T}(V2,V7,V3,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5410: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V17 == V18; #5399 ), references = 1, size of lhs = 13:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_relation_dom-{F}(V5,V4), in-{F}(V2,V6), pppp1-{F}(V6,V5,V7), pppp1-{F}(V1,V8,V7), P_relation_dom-{F}(V7,V9), pppp1-{F}(V10,V8,V11), pppp0-{F}(V10,V11,V12), V12 == V2 | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5419: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V18 == V19; #5400 ), references = 2, size of lhs = 16:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), P_relation_dom-{F}(V6,V4), pppp1-{F}(V1,V7,V8), pppp1-{F}(V5,V9,V8), P_relation_dom-{F}(V8,V10), P_relation_dom-{F}(V9,V11), P_relation_dom-{F}(V12,V11), pppp1-{F}(V13,V12,V6), pppp1-{F}(V14,V7,V15), pppp0-{F}(V14,V15,V16), V16 == V2 | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5433: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V21 == V22; #5422 ), references = 1, size of lhs = 13:
% 130.32/130.55 empty-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_relation_dom-{F}(V6,V5), in-{F}(V3,V7), pppp1-{F}(V7,V6,V8), pppp1-{F}(V2,V9,V8), P_relation_dom-{F}(V8,V10), pppp1-{F}(V11,V9,V12), pppp19-{F}(V11,V12,V0) | pppp16-{T}(V11,V12,V3,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5443: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V22 == V23; #5423 ), references = 1, size of lhs = 16:
% 130.32/130.55 empty-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), in-{F}(V3,V6), P_relation_dom-{F}(V7,V5), pppp1-{F}(V2,V8,V9), pppp1-{F}(V6,V10,V9), P_relation_dom-{F}(V9,V11), P_relation_dom-{F}(V10,V12), P_relation_dom-{F}(V13,V12), pppp1-{F}(V14,V13,V7), pppp1-{F}(V15,V8,V16), pppp19-{F}(V15,V16,V0) | pppp16-{T}(V15,V16,V3,V0)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5538: mergings( V3 == V4; #5534 ), references = 1, size of lhs = 7:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V3), pppp1-{F}(V4,V2,V5), P_apply-{F}(V5,V6,V7), pppp16-{F}(V1,V8,V6,V3), P_relation_dom-{F}(V8,V9) | P_apply-{T}(V2,V6,V7)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5540: mergings( V3 == V4; #5535 ), references = 1, size of lhs = 9:
% 130.32/130.55 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V4), pppp1-{F}(V5,V3,V6), P_apply-{F}(V6,V7,V8), pppp16-{F}(V0,V9,V7,V4), P_relation_dom-{F}(V9,V10) | P_apply-{T}(V3,V7,V8)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5542: mergings( V3 == V6; #5536 ), references = 1, size of lhs = 19:
% 130.32/130.55 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), P_relation_dom-{F}(V6,V4), P_relation_dom-{F}(V7,V8), pppp1-{F}(V9,V7,V10), P_apply-{F}(V10,V11,V12), V11 == V2, pppp1-{F}(V1,V13,V14), pppp1-{F}(V5,V15,V14), P_relation_dom-{F}(V14,V16), P_relation_dom-{F}(V15,V17), P_relation_dom-{F}(V18,V17), pppp1-{F}(V19,V18,V6), pppp1-{F}(V20,V13,V21), pppp16-{F}(V20,V21,V11,V8) | P_apply-{T}(V7,V11,V12)
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5550: mergings( V3 == V4, V4 == V5, V5 == V6; #5546 ), references = 1, size of lhs = 5:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_apply-{F}(V0,V2,V3), pppp13-{F}(V4,V2,V0) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5555: mergings( V3 == V4, V4 == V5, V5 == V6; #5551 ), references = 1, size of lhs = 5:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), pppp14-{F}(V0,V1), P_empty_set-{F}(V2), P_apply-{F}(V0,V1,V3) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5560: mergings( V3 == V4, V4 == V5, V5 == V6; #5556 ), references = 1, size of lhs = 4:
% 130.32/130.55 relation-{F}(V0), function-{F}(V0), pppp14-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5565: mergings( V2 == V3, V3 == V4, V4 == V5; #5561 ), references = 2, size of lhs = 4:
% 130.32/130.55 pppp15-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5570: mergings( V0 == V2; #5568 ), references = 1, size of lhs = 1:
% 130.32/130.55 P_empty_set-{F}(V0) | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 #5572: exists( #82, #5568 ), references = 1, size of lhs = 0:
% 130.32/130.55 FALSE | FALSE
% 130.32/130.55 (used 0 times, uses = {})
% 130.32/130.55
% 130.32/130.55 number of learnt formulas = 228
% 130.32/130.55
% 130.32/130.55
% 130.32/130.55 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 130.32/130.55
% 130.32/130.55 randbase = 1
%------------------------------------------------------------------------------