TSTP Solution File: SEU212+3 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU212+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:17:29 EDT 2022
% Result : Theorem 198.05s 198.21s
% Output : Refutation 198.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU212+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jul 22 18:58:21 EDT 2022
% 0.11/0.33 % CPUTime :
% 198.05/198.21 GeoParameters:
% 198.05/198.21
% 198.05/198.21 tptp_input = 1
% 198.05/198.21 tptp_output = 0
% 198.05/198.21 nonempty = 1
% 198.05/198.21 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 198.05/198.21 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 198.05/198.21
% 198.05/198.21
% 198.05/198.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 198.05/198.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 198.05/198.21
% 198.05/198.21 RuleSystem INPUT:
% 198.05/198.21
% 198.05/198.21 Initial Rules:
% 198.05/198.21 #0: input, references = 22, size of lhs = 2:
% 198.05/198.21 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #1: input, references = 3, size of lhs = 1:
% 198.05/198.21 empty-{F}(V0) | function-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #2: input, references = 3, size of lhs = 1:
% 198.05/198.21 empty-{F}(V0) | relation-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #3: input, references = 4, size of lhs = 3:
% 198.05/198.21 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #4: input, references = 13, size of lhs = 7:
% 198.05/198.21 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), P_apply-{F}(V1,V3,V5), P_ordered_pair-{F}(V3,V5,V6), in-{F}(V3,V2) | in-{T}(V6,V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #5: input, references = 12, size of lhs = 9:
% 198.05/198.21 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), P_apply-{F}(V1,V3,V5), P_ordered_pair-{F}(V3,V4,V6), in-{F}(V3,V2), in-{F}(V6,V1), V4 == V5 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #6: input, references = 5, size of lhs = 7:
% 198.05/198.21 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), P_apply-{F}(V1,V3,V5), P_ordered_pair-{F}(V3,V5,V6), V5 == V0 | in-{T}(V3,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #7: input, references = 27, size of lhs = 7:
% 198.05/198.21 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), P_apply-{F}(V1,V3,V5), P_ordered_pair-{F}(V3,V0,V6), V0 == V5 | in-{T}(V3,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #8: input, references = 6, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1) | pppp1-{T}(V1,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #9: input, references = 3, size of lhs = 5:
% 198.05/198.21 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), pppp1-{F}(V1,V3), V3 == V2 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #10: input, references = 11, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V3,V2) | pppp0-{T}(V1,V3)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #11: input, references = 55, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp0-{F}(V1,V3) | in-{T}(V3,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #12: input, references = 21, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp17-{T}(V1,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #13: input, references = 7, size of lhs = 1:
% 198.05/198.21 pppp17-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #14: input, references = 11, size of lhs = 3:
% 198.05/198.21 pppp3-{F}(V0,V1,V2), pppp0-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #15: input, references = 13, size of lhs = 1:
% 198.05/198.21 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp0-{T}(V0,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #16: input, references = 6, size of lhs = 2:
% 198.05/198.21 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | EXISTS V3: pppp4-{T}(V1,V2,V3)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #17: input, references = 24, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V1) | pppp0-{T}(V1,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #18: input, references = 9, size of lhs = 2:
% 198.05/198.21 pppp4-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3) | in-{T}(V3,V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #19: input, references = 5, size of lhs = 6:
% 198.05/198.21 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), P_unordered_pair-{F}(V1,V2,V4), P_singleton-{F}(V1,V5), P_unordered_pair-{F}(V4,V5,V6), V3 == V6 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #20: input, references = 6, size of lhs = 2:
% 198.05/198.21 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp5-{T}(V1,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #21: input, references = 6, size of lhs = 1:
% 198.05/198.21 pppp5-{F}(V0,V1) | element-{T}(V1,V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #22: input, references = 3, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | empty-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #23: input, references = 3, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | relation-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #24: input, references = 3, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #25: input, references = 4, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #26: input, references = 3, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | empty-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #27: input, references = 5, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #28: input, references = 5, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), empty-{F}(V2) | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #29: input, references = 4, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #30: input, references = 3, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | empty-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #31: input, references = 3, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | relation-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #32: input, references = 3, size of lhs = 4:
% 198.05/198.21 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #33: input, references = 5, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #34: input, references = 3, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #35: input, references = 3, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #36: input, references = 3, size of lhs = 1:
% 198.05/198.21 pppp6-{F}(V0) | function-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #37: input, references = 3, size of lhs = 1:
% 198.05/198.21 pppp6-{F}(V0) | relation-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #38: input, references = 4, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #39: input, references = 3, size of lhs = 1:
% 198.05/198.21 pppp7-{F}(V0) | relation-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #40: input, references = 5, size of lhs = 1:
% 198.05/198.21 pppp7-{F}(V0) | empty-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #41: input, references = 4, size of lhs = 2:
% 198.05/198.21 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp18-{T}(V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #42: input, references = 3, size of lhs = 1:
% 198.05/198.21 pppp18-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #43: input, references = 3, size of lhs = 2:
% 198.05/198.21 pppp8-{F}(V0,V1), empty-{F}(V0) | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #44: input, references = 3, size of lhs = 1:
% 198.05/198.21 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #45: input, references = 4, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #46: input, references = 5, size of lhs = 1:
% 198.05/198.21 pppp9-{F}(V0) | empty-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #47: input, references = 3, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #48: input, references = 3, size of lhs = 1:
% 198.05/198.21 pppp10-{F}(V0) | relation-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #49: input, references = 3, size of lhs = 2:
% 198.05/198.21 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #50: input, references = 4, size of lhs = 2:
% 198.05/198.21 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp11-{T}(V3,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #51: input, references = 4, size of lhs = 1:
% 198.05/198.21 pppp11-{F}(V0,V1) | empty-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #52: input, references = 3, size of lhs = 1:
% 198.05/198.21 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #53: input, references = 3, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #54: input, references = 3, size of lhs = 2:
% 198.05/198.21 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #55: input, references = 3, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #56: input, references = 3, size of lhs = 1:
% 198.05/198.21 pppp13-{F}(V0) | relation_empty_yielding-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #57: input, references = 3, size of lhs = 1:
% 198.05/198.21 pppp13-{F}(V0) | relation-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #58: input, references = 3, size of lhs = 2:
% 198.05/198.21 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #59: input, references = 22, size of lhs = 2:
% 198.05/198.21 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #60: input, references = 6, size of lhs = 2:
% 198.05/198.21 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #61: input, references = 3, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #62: input, references = 3, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #63: input, references = 21, size of lhs = 4:
% 198.05/198.21 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #64: input, references = 12, size of lhs = 5:
% 198.05/198.21 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #65: input, references = 10, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #66: input, references = 9, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #67: input, references = 6, size of lhs = 4:
% 198.05/198.21 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #68: input, references = 4, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #69: input, references = 4, size of lhs = 1:
% 198.05/198.21 pppp16-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #70: input, references = 4, size of lhs = 1:
% 198.05/198.21 pppp16-{F}(V0) | function-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #71: input, references = 4, size of lhs = 1:
% 198.05/198.21 pppp16-{F}(V0) | relation-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #72: input, references = 5, size of lhs = 1:
% 198.05/198.21 pppp15-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V1,V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #73: input, references = 5, size of lhs = 4:
% 198.05/198.21 pppp14-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V3), pppp2-{F}(V0,V1,V2), in-{F}(V3,V2) | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #74: input, references = 5, size of lhs = 2:
% 198.05/198.21 pppp14-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V3) | in-{T}(V3,V2), pppp2-{T}(V0,V1,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #75: input, references = 6, size of lhs = 4:
% 198.05/198.21 P_empty_set-{F}(V0), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), pppp2-{F}(V1,V2,V3) | in-{T}(V1,V4)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #76: input, references = 3, size of lhs = 5:
% 198.05/198.21 P_empty_set-{F}(V0), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), pppp2-{F}(V1,V2,V3), V2 == V5 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #77: input, references = 5, size of lhs = 4:
% 198.05/198.21 P_empty_set-{F}(V0), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), in-{F}(V1,V4) | pppp2-{T}(V1,V5,V3)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #78: input, references = 9, size of lhs = 2:
% 198.05/198.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #79: input, references = 7, size of lhs = 1:
% 198.05/198.21 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #80: input, references = 26, size of lhs = 2:
% 198.05/198.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #81: input, references = 21, size of lhs = 2:
% 198.05/198.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #82: input, references = 4, size of lhs = 0:
% 198.05/198.21 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #83: input, references = 4, size of lhs = 1:
% 198.05/198.21 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #84: input, references = 3, size of lhs = 1:
% 198.05/198.21 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 number of initial rules = 85
% 198.05/198.21
% 198.05/198.21 Simplifiers:
% 198.05/198.21 #85: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #86: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #87: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #88: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #89: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #90: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #91: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #92: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #93: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #94: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #95: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #96: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #97: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #98: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #99: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #100: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #101: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #102: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #103: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #104: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V2), V1 == V4 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #105: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V2 == V5 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #106: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #107: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp15-{F}(V0,V1), pppp15-{F}(V2,V3), V0 == V2 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #108: unsound, references = 3, size of lhs = 3:
% 198.05/198.21 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 number of simplifiers = 24
% 198.05/198.21
% 198.05/198.21 Learnt:
% 198.05/198.21 #115: mergings( V0 == V2; #112 ), references = 1, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #117: mergings( V0 == V2; #113 ), references = 1, size of lhs = 2:
% 198.05/198.21 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #130: mergings( V0 == V2; #127 ), references = 1, size of lhs = 1:
% 198.05/198.21 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #132: mergings( V0 == V2; #128 ), references = 1, size of lhs = 2:
% 198.05/198.21 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #157: mergings( V2 == V3; #154 ), references = 1, size of lhs = 2:
% 198.05/198.21 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #159: mergings( V2 == V3; #155 ), references = 1, size of lhs = 3:
% 198.05/198.21 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #173: exists( #81, #19 ), references = 19, size of lhs = 4:
% 198.05/198.21 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V3,V4), P_unordered_pair-{F}(V4,V2,V5) | P_ordered_pair-{T}(V1,V3,V5)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #175: exists( #78, #3 ), references = 20, size of lhs = 1:
% 198.05/198.21 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #178: mergings( V0 == V3; #176 ), references = 2, size of lhs = 5:
% 198.05/198.21 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V2), #-{F} V3, V3 == V2 | pppp17-{T}(V1,V3)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #189: mergings( V3 == V5; #187 ), references = 2, size of lhs = 8:
% 198.05/198.21 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), P_ordered_pair-{F}(V5,V2,V6) | P_apply-{T}(V0,V5,V2)
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #198: exists( #81, #192 ), references = 2, size of lhs = 6:
% 198.05/198.21 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_apply-{F}(V1,V2,V3), V0 == V3 | FALSE
% 198.05/198.21 (used 0 times, uses = {})
% 198.05/198.21
% 198.05/198.21 #200: mergings( V1 == V5; #196 ), references = 3, size of lhs = 12:
% 198.05/198.21 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V1,V1), relation-{F}(V1), function-{F}(V1), P_empty_set-{F}(V2), P_ordered_pair-{F}(V3,V4,V3), P_apply-{F}(V0,V3,V5), V2 == V5, P_apply-{F}(V1,V3,V6), V4 == V6 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #208: exists( #78, #206 ), references = 17, size of lhs = 4:
% 198.05/198.22 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_ordered_pair-{F}(V1,V3,V4), P_unordered_pair-{F}(V1,V3,V5) | P_unordered_pair-{T}(V2,V5,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #212: exists( #80, #198 ), references = 1, size of lhs = 4:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2) | P_apply-{T}(V1,V2,V0)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #218: mergings( V0 == V3; #214 ), references = 1, size of lhs = 3:
% 198.05/198.22 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp18-{T}(V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #221: mergings( V0 == V3, V1 == V3; #215 ), references = 1, size of lhs = 4:
% 198.05/198.22 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #224: mergings( V0 == V3, V1 == V3; #216 ), references = 1, size of lhs = 3:
% 198.05/198.22 P_empty_set-{F}(V0), P_singleton-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #228: disj( #60, input ), references = 5, size of lhs = 2:
% 198.05/198.22 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #230: mergings( V0 == V3; #227 ), references = 2, size of lhs = 5:
% 198.05/198.22 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #255: mergings( V0 == V3; #253 ), references = 1, size of lhs = 8:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V1), function-{F}(V1), element-{F}(V2,V1), P_apply-{F}(V1,V2,V3), P_ordered_pair-{F}(V2,V4,V2), V4 == V3 | empty-{T}(V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #264: mergings( V3 == V4, V4 == V5; #259 ), references = 1, size of lhs = 7:
% 198.05/198.22 relation-{F}(V0), P_relation_dom-{F}(V0,V0), function-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V0), element-{F}(V3,V0), P_ordered_pair-{F}(V3,V4,V3) | P_apply-{T}(V0,V3,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #267: mergings( V3 == V4, V4 == V5; #260 ), references = 1, size of lhs = 7:
% 198.05/198.22 relation-{F}(V0), P_relation_dom-{F}(V0,V0), function-{F}(V0), P_empty_set-{F}(V1), P_singleton-{F}(V2,V0), element-{F}(V3,V0), P_ordered_pair-{F}(V3,V4,V3) | P_apply-{T}(V0,V3,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #270: mergings( V3 == V4, V4 == V5; #261 ), references = 1, size of lhs = 7:
% 198.05/198.22 relation-{F}(V0), P_relation_dom-{F}(V0,V0), function-{F}(V0), P_empty_set-{F}(V1), V0 == V1, element-{F}(V2,V0), P_ordered_pair-{F}(V2,V3,V2) | P_apply-{T}(V0,V2,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #290: mergings( V0 == V3; #286 ), references = 4, size of lhs = 3:
% 198.05/198.22 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #292: mergings( V0 == V3; #287 ), references = 3, size of lhs = 3:
% 198.05/198.22 P_empty_set-{F}(V0), element-{F}(V1,V2), P_singleton-{F}(V3,V2) | in-{T}(V1,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #294: mergings( V0 == V3; #288 ), references = 6, size of lhs = 3:
% 198.05/198.22 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #316: exists( #80, #5 ), references = 1, size of lhs = 7:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V1), P_ordered_pair-{F}(V3,V5,V4) | P_apply-{T}(V1,V3,V5)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #324: mergings( V2 == V3, V3 == V4, V4 == V5; #320 ), references = 5, size of lhs = 9:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V1), P_ordered_pair-{F}(V2,V4,V3), in-{F}(V5,V1), P_ordered_pair-{F}(V2,V6,V5), V6 == V4 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #345: exists( #80, #200 ), references = 1, size of lhs = 5:
% 198.05/198.22 relation-{F}(V0), P_relation_dom-{F}(V0,V0), function-{F}(V0), P_empty_set-{F}(V1), P_ordered_pair-{F}(V2,V3,V2) | P_apply-{T}(V0,V2,V1), P_apply-{T}(V0,V2,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #366: mergings( V3 == V4, V4 == V5; #363 ), references = 2, size of lhs = 11:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_unordered_pair-{F}(V3,V0,V6), P_unordered_pair-{F}(V5,V7,V6), P_apply-{F}(V1,V3,V8), V0 == V8 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #371: mergings( V3 == V4, V4 == V0; #368 ), references = 1, size of lhs = 9:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4), P_singleton-{F}(V0,V4), P_apply-{F}(V1,V3,V5), V0 == V5 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #375: mergings( V3 == V4, V4 == V5; #372 ), references = 1, size of lhs = 7:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4), P_singleton-{F}(V0,V4) | P_apply-{T}(V1,V3,V0)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #389: mergings( V0 == V5, V2 == V7, V1 == V4, V4 == V6; #383 ), references = 1, size of lhs = 7:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V0), empty-{F}(V0), P_empty_set-{F}(V1), P_ordered_pair-{F}(V2,V3,V2), V3 == V1 | P_apply-{T}(V0,V2,V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #394: mergings( V0 == V5, V2 == V9, V1 == V4, V4 == V6; #384 ), references = 1, size of lhs = 9:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), element-{F}(V0,V3), P_ordered_pair-{F}(V4,V5,V4), V5 == V1 | P_apply-{T}(V0,V4,V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #402: disj( #15, input ), references = 7, size of lhs = 2:
% 198.05/198.22 in-{F}(V0,V1), pppp3-{F}(V2,V0,V1) | pppp0-{T}(V2,V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #419: mergings( V0 == V3, V3 == V6; #415 ), references = 9, size of lhs = 5:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #457: exists( #78, #455 ), references = 1, size of lhs = 8:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4), P_apply-{F}(V1,V3,V5), V0 == V5 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #459: exists( #80, #456 ), references = 4, size of lhs = 6:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4) | P_apply-{T}(V1,V3,V0)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #491: mergings( V0 == V4; #489 ), references = 1, size of lhs = 3:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp5-{T}(V1,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #537: mergings( V0 == V4; #535 ), references = 1, size of lhs = 2:
% 198.05/198.22 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp11-{T}(V0,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #557: disj( #15, input ), references = 4, size of lhs = 3:
% 198.05/198.22 in-{F}(V0,V1), pppp3-{F}(V2,V1,V0), pppp3-{F}(V2,V3,V0) | in-{T}(V0,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #568: disj( #15, input ), references = 1, size of lhs = 1:
% 198.05/198.22 pppp3-{F}(V0,V1,V1) | pppp0-{T}(V0,V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #612: mergings( V3 == V4; #609 ), references = 3, size of lhs = 4:
% 198.05/198.22 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), pppp3-{F}(V2,V3,V4) | in-{T}(V4,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #615: mergings( V3 == V4, V7 == V4; #610 ), references = 1, size of lhs = 6:
% 198.05/198.22 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp1-{F}(V3,V0), pppp3-{F}(V3,V4,V5) | in-{T}(V5,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #653: mergings( V3 == V5, V5 == V7; #650 ), references = 1, size of lhs = 6:
% 198.05/198.22 empty-{F}(V0), pppp1-{F}(V1,V0), pppp17-{F}(V1,V2), empty-{F}(V3), P_powerset-{F}(V3,V2), P_empty_set-{F}(V4) | pppp3-{T}(V1,V2,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #667: mergings( V0 == V3; #665 ), references = 1, size of lhs = 2:
% 198.05/198.22 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | pppp17-{T}(V1,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #713: mergings( V3 == V6, V6 == V7, V7 == V8, V8 == V9; #708 ), references = 5, size of lhs = 12:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_apply-{F}(V0,V2,V3), P_empty_set-{F}(V4), pppp1-{F}(V0,V5), in-{F}(V5,V6), P_singleton-{F}(V6,V7), P_singleton-{F}(V2,V7), P_unordered_pair-{F}(V2,V3,V8), P_unordered_pair-{F}(V6,V9,V8) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #720: mergings( V3 == V6, V6 == V7, V7 == V8, V8 == V9; #715 ), references = 1, size of lhs = 10:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_apply-{F}(V0,V2,V3), P_empty_set-{F}(V4), pppp1-{F}(V0,V5), in-{F}(V5,V3), P_singleton-{F}(V3,V6), P_singleton-{F}(V2,V6) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #951: mergings( V3 == V4, V4 == V5, V5 == V8; #945 ), references = 1, size of lhs = 13:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), pppp3-{F}(V7,V3,V6), pppp3-{F}(V7,V1,V6), P_unordered_pair-{F}(V6,V2,V8), P_unordered_pair-{F}(V4,V9,V8), P_apply-{F}(V0,V6,V10), V2 == V10 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #956: mergings( V3 == V4, V4 == V5, V5 == V8, V11 == V8; #946 ), references = 1, size of lhs = 15:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V2,V4), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), pppp3-{F}(V8,V2,V7), pppp3-{F}(V8,V1,V7), P_unordered_pair-{F}(V7,V2,V9), P_unordered_pair-{F}(V5,V10,V9), P_apply-{F}(V0,V7,V11), V2 == V11 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #964: mergings( V19 == V22, V11 == V12, V3 == V4, V4 == V7, V7 == V13, V16 == V18, V12 == V13; #947 ), references = 1, size of lhs = 22:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), element-{F}(V5,V1), P_empty_set-{F}(V5), pppp1-{F}(V4,V6), in-{F}(V6,V7), P_singleton-{F}(V7,V8), P_singleton-{F}(V9,V8), P_singleton-{F}(V10,V8), P_apply-{F}(V2,V10,V11), V5 == V11, pppp3-{F}(V12,V3,V10), pppp3-{F}(V12,V5,V10), P_unordered_pair-{F}(V10,V5,V13), P_unordered_pair-{F}(V9,V14,V13), P_unordered_pair-{F}(V7,V15,V13) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #971: mergings( V3 == V4, V4 == V5, V5 == V7; #965 ), references = 1, size of lhs = 11:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), pppp3-{F}(V7,V3,V6), pppp3-{F}(V7,V1,V6), P_unordered_pair-{F}(V6,V2,V8), P_unordered_pair-{F}(V4,V9,V8) | P_apply-{T}(V0,V6,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #976: mergings( V3 == V4, V4 == V5, V5 == V7, V10 == V7; #966 ), references = 1, size of lhs = 13:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V2,V4), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), pppp3-{F}(V8,V2,V7), pppp3-{F}(V8,V1,V7), P_unordered_pair-{F}(V7,V2,V9), P_unordered_pair-{F}(V5,V10,V9) | P_apply-{T}(V0,V7,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #984: mergings( V18 == V21, V10 == V11, V3 == V4, V4 == V7, V7 == V12, V15 == V16, V11 == V12; #967 ), references = 1, size of lhs = 20:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), element-{F}(V5,V1), P_empty_set-{F}(V5), pppp1-{F}(V4,V6), in-{F}(V6,V7), P_singleton-{F}(V7,V8), P_singleton-{F}(V9,V8), P_singleton-{F}(V10,V8), pppp3-{F}(V11,V3,V10), pppp3-{F}(V11,V5,V10), P_unordered_pair-{F}(V10,V5,V12), P_unordered_pair-{F}(V9,V13,V12), P_unordered_pair-{F}(V7,V14,V12) | P_apply-{T}(V2,V10,V5)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #998: mergings( V3 == V6; #996 ), references = 1, size of lhs = 4:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp4-{F}(V1,V3,V4) | P_ordered_pair-{T}(V3,V4,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1008: mergings( V0 == V4, V4 == V6, V6 == V7; #1002 ), references = 5, size of lhs = 5:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), pppp0-{F}(V1,V2), empty-{F}(V3), P_empty_set-{F}(V3) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1084: mergings( V3 == V4, V4 == V9, V9 == V10, V10 == V11; #1079 ), references = 1, size of lhs = 13:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_singleton-{F}(V2,V3), P_apply-{F}(V0,V2,V4), P_unordered_pair-{F}(V2,V4,V5), P_empty_set-{F}(V6), pppp1-{F}(V0,V7), P_singleton-{F}(V8,V3), pppp0-{F}(V9,V8), pppp3-{F}(V9,V7,V8), P_unordered_pair-{F}(V8,V10,V5) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1142: mergings( V1 == V5, V5 == V6, V6 == V9; #1137 ), references = 1, size of lhs = 11:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V1), P_empty_set-{F}(V4), in-{F}(V5,V6), V5 == V4, P_apply-{F}(V0,V6,V7), V4 == V7 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1146: mergings( V1 == V5, V5 == V6, V6 == V7; #1138 ), references = 1, size of lhs = 11:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V1), in-{F}(V5,V6), in-{F}(V6,V7), P_apply-{F}(V0,V7,V8), V2 == V8 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1152: mergings( V3 == V5, V5 == V6, V6 == V9; #1147 ), references = 1, size of lhs = 9:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V1), P_empty_set-{F}(V4), in-{F}(V5,V6), V5 == V4 | P_apply-{T}(V0,V6,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1156: mergings( V3 == V5, V5 == V6, V6 == V7; #1148 ), references = 1, size of lhs = 9:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V1), in-{F}(V5,V6), in-{F}(V6,V7) | P_apply-{T}(V0,V7,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1224: mergings( V3 == V5, V5 == V8; #1221 ), references = 1, size of lhs = 8:
% 198.05/198.22 empty-{F}(V0), pppp1-{F}(V1,V0), pppp17-{F}(V1,V2), empty-{F}(V3), P_powerset-{F}(V3,V4), pppp1-{F}(V4,V2), empty-{F}(V5), P_empty_set-{F}(V5) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1232: mergings( V2 == V5, V5 == V6, V6 == V8, V8 == V10; #1227 ), references = 1, size of lhs = 9:
% 198.05/198.22 relation-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), empty-{F}(V3), pppp1-{F}(V0,V3), empty-{F}(V4), P_powerset-{F}(V4,V2), empty-{F}(V5), P_empty_set-{F}(V5) | P_relation_dom-{T}(V2,V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1325: mergings( V8 == V13, V3 == V4, V4 == V5, V5 == V6; #1319 ), references = 4, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_apply-{F}(V1,V3,V5), P_unordered_pair-{F}(V3,V5,V6), P_singleton-{F}(V7,V6), in-{F}(V7,V2), P_unordered_pair-{F}(V7,V8,V4), P_apply-{F}(V1,V7,V9), V8 == V9 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1329: mergings( V3 == V4, V4 == V5, V5 == V6; #1320 ), references = 1, size of lhs = 14:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_apply-{F}(V1,V3,V5), P_unordered_pair-{F}(V3,V5,V6), pppp0-{F}(V1,V7), P_singleton-{F}(V7,V6), P_unordered_pair-{F}(V7,V8,V4), in-{F}(V9,V1), P_ordered_pair-{F}(V7,V10,V9), V10 == V8 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1356: mergings( V0 == V6; #1354 ), references = 1, size of lhs = 7:
% 198.05/198.22 empty-{F}(V0), pppp1-{F}(V1,V0), pppp17-{F}(V1,V2), empty-{F}(V3), P_powerset-{F}(V3,V4), empty-{F}(V5), P_empty_set-{F}(V5) | pppp17-{T}(V4,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1395: mergings( V12 == V14, V3 == V1, V1 == V6, V6 == V7, V7 == V8; #1388 ), references = 1, size of lhs = 14:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V1), P_singleton-{F}(V4,V5), P_apply-{F}(V0,V4,V6), V2 == V6, P_unordered_pair-{F}(V4,V2,V7), P_apply-{F}(V3,V4,V8), V2 == V8, P_unordered_pair-{F}(V4,V8,V7) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1401: mergings( V3 == V1, V1 == V6, V6 == V7, V7 == V8, V8 == V9; #1389 ), references = 1, size of lhs = 15:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), pppp1-{F}(V3,V1), P_relation_dom-{F}(V3,V1), P_singleton-{F}(V4,V5), P_apply-{F}(V0,V4,V6), V2 == V6, P_apply-{F}(V3,V4,V7), V2 == V7, P_unordered_pair-{F}(V4,V7,V8), P_unordered_pair-{F}(V4,V2,V8) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1477: mergings( V0 == V3; #1473 ), references = 1, size of lhs = 3:
% 198.05/198.22 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), in-{F}(V3,V2) | pppp17-{T}(V1,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1541: mergings( V3 == V5, V5 == V6, V6 == V7; #1537 ), references = 1, size of lhs = 9:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), P_singleton-{F}(V4,V3), in-{F}(V3,V5), in-{F}(V5,V6), P_ordered_pair-{F}(V6,V2,V7) | P_apply-{T}(V0,V6,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1594: mergings( V0 == V3, V3 == V4, V4 == V5; #1588 ), references = 1, size of lhs = 4:
% 198.05/198.22 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), in-{F}(V3,V4) | pppp17-{T}(V2,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1597: mergings( V0 == V3, V3 == V4; #1589 ), references = 1, size of lhs = 4:
% 198.05/198.22 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V2,V3), in-{F}(V3,V4) | pppp17-{T}(V1,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1602: mergings( V0 == V3, V3 == V4, V4 == V5, V8 == V5; #1590 ), references = 1, size of lhs = 6:
% 198.05/198.22 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp1-{F}(V3,V0), in-{F}(V4,V5) | pppp17-{T}(V3,V5)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1671: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V8; #1664 ), references = 1, size of lhs = 9:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_ordered_pair-{F}(V3,V2,V4), V3 == V2, pppp3-{F}(V5,V3,V1), pppp1-{F}(V5,V6), P_powerset-{F}(V3,V6) | P_apply-{T}(V0,V3,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1677: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1665 ), references = 1, size of lhs = 9:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), pppp1-{F}(V3,V4), pppp3-{F}(V3,V5,V1), P_powerset-{F}(V5,V4), P_ordered_pair-{F}(V5,V2,V6), P_ordered_pair-{F}(V7,V8,V5) | P_apply-{T}(V0,V5,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1683: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1666 ), references = 1, size of lhs = 9:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), pppp1-{F}(V3,V4), pppp3-{F}(V3,V5,V1), P_powerset-{F}(V5,V4), P_ordered_pair-{F}(V5,V2,V6), P_unordered_pair-{F}(V7,V8,V5) | P_apply-{T}(V0,V5,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1851: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6; #1846 ), references = 1, size of lhs = 6:
% 198.05/198.22 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), pppp3-{F}(V3,V2,V4), pppp1-{F}(V3,V5), pppp1-{F}(V5,V6), P_ordered_pair-{F}(V6,V7,V4) | pppp17-{T}(V1,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #1871: disj( #15, #17+#14 ), references = 1, size of lhs = 5:
% 198.05/198.22 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp3-{F}(V3,V2,V1), pppp3-{F}(V4,V3,V5), P_ordered_pair-{F}(V1,V6,V5) | pppp0-{T}(V4,V5)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2038: mergings( V3 == V4; #2034 ), references = 2, size of lhs = 5:
% 198.05/198.22 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V2,V3), pppp3-{F}(V4,V1,V5), P_ordered_pair-{F}(V3,V6,V5) | pppp0-{T}(V4,V5)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2041: mergings( V3 == V4, V4 == V5; #2035 ), references = 1, size of lhs = 5:
% 198.05/198.22 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), pppp3-{F}(V3,V2,V4), P_ordered_pair-{F}(V5,V6,V4) | pppp0-{T}(V3,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2045: mergings( V3 == V4, V4 == V5, V8 == V5; #2036 ), references = 1, size of lhs = 7:
% 198.05/198.22 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp1-{F}(V3,V0), pppp3-{F}(V4,V3,V5), P_ordered_pair-{F}(V6,V7,V5) | pppp0-{T}(V4,V5)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2159: exists( #81, #2155 ), references = 1, size of lhs = 8:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), pppp4-{F}(V1,V2,V3), in-{F}(V4,V1), P_ordered_pair-{F}(V2,V5,V4), V3 == V5 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2160: exists( #81, #2156 ), references = 3, size of lhs = 8:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp4-{F}(V1,V3,V5), V5 == V4 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2164: mergings( V0 == V4; #2161 ), references = 2, size of lhs = 6:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V1), P_ordered_pair-{F}(V2,V4,V3) | pppp4-{T}(V1,V2,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2277: mergings( V0 == V3, V3 == V4; #2274 ), references = 1, size of lhs = 5:
% 198.05/198.22 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), in-{F}(V2,V3), pppp3-{F}(V4,V3,V2), pppp1-{F}(V4,V5) | pppp17-{T}(V1,V5)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2443: disj( #15, #11+#14 ), references = 1, size of lhs = 5:
% 198.05/198.22 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp3-{F}(V1,V3,V4), pppp3-{F}(V5,V2,V4), pppp0-{F}(V5,V4) | in-{T}(V4,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2488: mergings( V0 == V3, V3 == V4; #2485 ), references = 1, size of lhs = 3:
% 198.05/198.22 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V2,V3) | pppp17-{T}(V1,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2490: exists( #80, #5 ), references = 1, size of lhs = 7:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V1), P_ordered_pair-{F}(V3,V5,V4) | P_apply-{T}(V1,V3,V5)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2607: disj( #74, input ), references = 4, size of lhs = 6:
% 198.05/198.22 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp14-{F}(V3,V4,V1), P_ordered_pair-{F}(V3,V4,V5), P_apply-{F}(V1,V3,V6), V4 == V6 | in-{T}(V5,V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2749: mergings( V3 == V4, V4 == V5; #2744 ), references = 1, size of lhs = 7:
% 198.05/198.22 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V3), in-{F}(V3,V4), pppp14-{F}(V4,V5,V1), P_apply-{F}(V1,V4,V6), V5 == V6 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2755: mergings( V8 == V9, V10 == V11, V3 == V4, V4 == V5, V5 == V6; #2745 ), references = 2, size of lhs = 8:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), pppp14-{F}(V3,V4,V1), P_apply-{F}(V1,V3,V5), V4 == V5 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2760: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #2746 ), references = 1, size of lhs = 11:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_singleton-{F}(V3,V4), pppp14-{F}(V3,V5,V1), P_unordered_pair-{F}(V3,V5,V6), P_unordered_pair-{F}(V3,V7,V6), V5 == V7, P_apply-{F}(V1,V3,V8), V5 == V8 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2771: mergings( V4 == V8, V2 == V5, V5 == V6, V6 == V7; #2764 ), references = 1, size of lhs = 9:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), in-{F}(V2,V3), pppp1-{F}(V0,V4), in-{F}(V4,V3), pppp14-{F}(V3,V5,V0), V5 == V1 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2778: mergings( V8 == V9, V9 == V10, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #2765 ), references = 1, size of lhs = 8:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), in-{F}(V2,V3), pppp14-{F}(V3,V4,V1), V4 == V0 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2785: mergings( V9 == V10, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #2766 ), references = 1, size of lhs = 10:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), pppp14-{F}(V3,V4,V1), V4 == V0, P_unordered_pair-{F}(V3,V4,V5), P_unordered_pair-{F}(V3,V6,V5), V4 == V6 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2840: exists( #80, #2755 ), references = 3, size of lhs = 6:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), pppp14-{F}(V3,V4,V1) | P_apply-{T}(V1,V3,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2911: exists( #81, #2907 ), references = 3, size of lhs = 8:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp14-{F}(V3,V4,V1), pppp2-{F}(V3,V4,V1) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #2972: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6; #2967 ), references = 1, size of lhs = 7:
% 198.05/198.22 P_empty_set-{F}(V0), in-{F}(V1,V2), P_ordered_pair-{F}(V2,V3,V4), pppp3-{F}(V5,V6,V4), pppp1-{F}(V5,V7), pppp1-{F}(V7,V8), P_ordered_pair-{F}(V8,V9,V4) | pppp17-{T}(V6,V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3142: mergings( V1 == V5, V5 == V6; #3139 ), references = 1, size of lhs = 11:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V1), P_apply-{F}(V0,V4,V5), V2 == V5, P_apply-{F}(V3,V4,V6), pppp14-{F}(V4,V6,V3) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3149: mergings( V7 == V8, V3 == V4, V4 == V5, V5 == V6; #3144 ), references = 1, size of lhs = 7:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp15-{F}(V1,V2), V0 == V2, pppp1-{F}(V1,V3), P_relation_dom-{F}(V1,V3) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3155: mergings( V6 == V7, V2 == V3, V3 == V4, V4 == V5; #3150 ), references = 2, size of lhs = 6:
% 198.05/198.22 pppp16-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), pppp1-{F}(V0,V2), P_relation_dom-{F}(V0,V2) | pppp15-{T}(V0,V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3185: mergings( V3 == V7; #3183 ), references = 1, size of lhs = 9:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), empty-{F}(V4), P_empty_set-{F}(V4), pppp3-{F}(V3,V5,V1), P_ordered_pair-{F}(V5,V4,V6) | P_apply-{T}(V0,V5,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3272: mergings( V0 == V3, V3 == V6; #3269 ), references = 1, size of lhs = 6:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_empty_set-{F}(V2), pppp0-{F}(V3,V4), pppp3-{F}(V1,V4,V5) | pppp17-{T}(V3,V5)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3458: disj( #15, mergings( V0 == V4, V4 == V6, V6 == V7; #1002 ) ), references = 2, size of lhs = 5:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_empty_set-{F}(V2), pppp3-{F}(V1,V3,V4) | in-{T}(V4,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3468: mergings( V4 == V5, V5 == V7; #3465 ), references = 1, size of lhs = 7:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), pppp17-{F}(V1,V2), empty-{F}(V3), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V2) | pppp3-{T}(V1,V2,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3530: mergings( V3 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V10; #3522 ), references = 2, size of lhs = 13:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), P_singleton-{F}(V4,V3), in-{F}(V3,V5), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), P_unordered_pair-{F}(V5,V2,V8), P_unordered_pair-{F}(V7,V9,V8), P_apply-{F}(V0,V5,V10), V2 == V10 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3537: mergings( V3 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V11; #3523 ), references = 2, size of lhs = 13:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), P_singleton-{F}(V4,V3), in-{F}(V3,V5), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), P_unordered_pair-{F}(V5,V2,V8), P_unordered_pair-{F}(V7,V9,V8), P_apply-{F}(V0,V5,V10), V2 == V10 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3544: mergings( V3 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V11; #3524 ), references = 1, size of lhs = 13:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), V3 == V2, in-{F}(V3,V4), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), P_unordered_pair-{F}(V4,V2,V7), P_unordered_pair-{F}(V6,V8,V7), P_apply-{F}(V0,V4,V9), V2 == V9 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3553: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9; #3545 ), references = 1, size of lhs = 11:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), P_singleton-{F}(V4,V3), in-{F}(V3,V5), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), P_unordered_pair-{F}(V5,V2,V8), P_unordered_pair-{F}(V7,V9,V8) | P_apply-{T}(V0,V5,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3560: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10; #3546 ), references = 1, size of lhs = 11:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), P_singleton-{F}(V4,V3), in-{F}(V3,V5), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), P_unordered_pair-{F}(V5,V2,V8), P_unordered_pair-{F}(V7,V9,V8) | P_apply-{T}(V0,V5,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #3567: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10; #3547 ), references = 1, size of lhs = 11:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), V3 == V2, in-{F}(V3,V4), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), P_unordered_pair-{F}(V4,V2,V7), P_unordered_pair-{F}(V6,V8,V7) | P_apply-{T}(V0,V4,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4034: mergings( V0 == V3, V3 == V4, V4 == V8; #4030 ), references = 1, size of lhs = 6:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), element-{F}(V4,V2), V4 == V3 | pppp5-{T}(V4,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4069: mergings( V0 == V3, V3 == V4; #4065 ), references = 1, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_apply-{F}(V1,V3,V5), pppp0-{F}(V6,V7), P_singleton-{F}(V7,V8), P_apply-{F}(V1,V7,V9), P_unordered_pair-{F}(V7,V9,V4), P_unordered_pair-{F}(V3,V10,V8), V10 == V5 | pppp17-{T}(V6,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4181: mergings( V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V16 == V19; #4172 ), references = 1, size of lhs = 21:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_apply-{F}(V0,V2,V3), P_empty_set-{F}(V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V6), pppp1-{F}(V0,V6), in-{F}(V7,V6), P_singleton-{F}(V7,V8), P_apply-{F}(V5,V7,V9), P_singleton-{F}(V2,V10), P_unordered_pair-{F}(V2,V3,V11), P_singleton-{F}(V12,V10), P_apply-{F}(V5,V12,V13), P_unordered_pair-{F}(V12,V13,V8), P_unordered_pair-{F}(V7,V14,V10), V14 == V9, P_unordered_pair-{F}(V12,V15,V11) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4188: mergings( V10 == V11, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #4173 ), references = 2, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), P_singleton-{F}(V3,V5), P_unordered_pair-{F}(V3,V4,V6), P_singleton-{F}(V7,V5), P_apply-{F}(V1,V7,V8), P_unordered_pair-{F}(V7,V9,V6), V9 == V8 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4196: mergings( V11 == V12, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #4174 ), references = 2, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), P_singleton-{F}(V3,V5), P_unordered_pair-{F}(V3,V4,V6), P_singleton-{F}(V7,V5), P_apply-{F}(V1,V7,V8), P_unordered_pair-{F}(V7,V9,V6), V9 == V8 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4233: mergings( V0 == V4; #4231 ), references = 1, size of lhs = 7:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), P_relation_dom-{F}(V1,V3), in-{F}(V2,V3), P_apply-{F}(V1,V2,V4) | pppp4-{T}(V1,V2,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4385: disj( #15, mergings( V2 == V3, V3 == V4, V4 == V5; #320 ) ), references = 1, size of lhs = 8:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), pppp3-{F}(V3,V1,V4), P_ordered_pair-{F}(V2,V5,V4), P_ordered_pair-{F}(V2,V6,V4), V6 == V5 | pppp0-{T}(V3,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4386: disj( #15, exists( #81, #2155 ) ), references = 1, size of lhs = 8:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), pppp4-{F}(V1,V2,V3), pppp3-{F}(V4,V1,V5), P_ordered_pair-{F}(V2,V6,V5), V3 == V6 | pppp0-{T}(V4,V5)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4387: disj( #15, input ), references = 1, size of lhs = 9:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp3-{F}(V5,V1,V6), P_ordered_pair-{F}(V3,V7,V6), V7 == V4 | pppp0-{T}(V5,V6)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4635: mergings( V3 == V4, V4 == V5, V5 == V6; #4629 ), references = 1, size of lhs = 6:
% 198.05/198.22 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp1-{F}(V2,V4), element-{F}(V5,V3), pppp4-{F}(V5,V4,V6) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4640: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V9; #4630 ), references = 1, size of lhs = 17:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), P_singleton-{F}(V4,V3), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V7), pppp1-{F}(V6,V8), P_singleton-{F}(V8,V9), P_singleton-{F}(V10,V9), P_unordered_pair-{F}(V8,V2,V11), P_unordered_pair-{F}(V10,V12,V11), P_apply-{F}(V0,V8,V13), V2 == V13, element-{F}(V14,V7), pppp4-{F}(V14,V3,V15) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4645: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V9; #4631 ), references = 1, size of lhs = 17:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), P_singleton-{F}(V4,V3), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V7), pppp1-{F}(V6,V8), P_singleton-{F}(V8,V9), P_singleton-{F}(V10,V9), P_unordered_pair-{F}(V8,V2,V11), P_unordered_pair-{F}(V10,V12,V11), P_apply-{F}(V0,V8,V13), V2 == V13, element-{F}(V14,V7), pppp4-{F}(V14,V3,V15) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4653: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6; #4646 ), references = 1, size of lhs = 5:
% 198.05/198.22 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), pppp4-{F}(V4,V5,V6) | pppp17-{T}(V2,V5)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4659: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9; #4647 ), references = 1, size of lhs = 16:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), P_singleton-{F}(V4,V3), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V7), element-{F}(V8,V7), pppp4-{F}(V8,V3,V9), P_singleton-{F}(V10,V11), P_singleton-{F}(V12,V11), P_unordered_pair-{F}(V10,V2,V13), P_unordered_pair-{F}(V12,V14,V13), P_apply-{F}(V0,V10,V15), V2 == V15 | pppp17-{T}(V6,V10)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4665: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9; #4648 ), references = 1, size of lhs = 16:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), P_singleton-{F}(V4,V3), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V7), element-{F}(V8,V7), pppp4-{F}(V8,V3,V9), P_singleton-{F}(V10,V11), P_singleton-{F}(V12,V11), P_unordered_pair-{F}(V10,V2,V13), P_unordered_pair-{F}(V12,V14,V13), P_apply-{F}(V0,V10,V15), V2 == V15 | pppp17-{T}(V6,V10)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4858: exists( #80, #4856 ), references = 1, size of lhs = 7:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp3-{F}(V3,V2,V4), pppp0-{F}(V3,V4), P_ordered_pair-{F}(V4,V0,V5) | P_apply-{T}(V1,V4,V0)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4984: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V9; #4978 ), references = 1, size of lhs = 7:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), pppp0-{F}(V4,V5), in-{F}(V6,V5), V6 == V3 | pppp17-{T}(V4,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #4989: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6; #4979 ), references = 1, size of lhs = 7:
% 198.05/198.22 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp0-{F}(V4,V5), in-{F}(V6,V5), in-{F}(V7,V6) | pppp17-{T}(V4,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #5057: mergings( V0 == V3, V3 == V4, V4 == V5; #5051 ), references = 1, size of lhs = 5:
% 198.05/198.22 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp0-{F}(V3,V4), in-{F}(V5,V4) | pppp17-{T}(V3,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #5061: mergings( V0 == V3, V3 == V4, V4 == V7; #5052 ), references = 1, size of lhs = 5:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp0-{F}(V3,V4), V4 == V2 | pppp17-{T}(V3,V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #5066: mergings( V0 == V3, V3 == V4, V4 == V7, V6 == V7; #5053 ), references = 1, size of lhs = 6:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_empty_set-{F}(V2), pppp0-{F}(V3,V2), P_ordered_pair-{F}(V4,V5,V2) | pppp17-{T}(V3,V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #5385: mergings( V4 == V5; #5382 ), references = 1, size of lhs = 6:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), pppp17-{F}(V1,V2), empty-{F}(V2), empty-{F}(V3), P_empty_set-{F}(V3) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #5392: mergings( V0 == V4, V4 == V5; #5388 ), references = 1, size of lhs = 5:
% 198.05/198.22 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), empty-{F}(V3), P_empty_set-{F}(V3) | pppp1-{T}(V1,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #5503: mergings( V3 == V5, V5 == V6, V6 == V7; #5499 ), references = 3, size of lhs = 10:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), V3 == V2, pppp0-{F}(V4,V5), pppp3-{F}(V4,V3,V5), in-{F}(V5,V6), P_ordered_pair-{F}(V6,V2,V7) | P_apply-{T}(V0,V6,V2)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #5752: mergings( V4 == V7, V1 == V5; #5748 ), references = 6, size of lhs = 21:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), pppp1-{F}(V3,V1), P_relation_dom-{F}(V3,V1), P_powerset-{F}(V4,V1), V4 == V2, pppp0-{F}(V5,V6), pppp3-{F}(V5,V4,V6), in-{F}(V6,V7), P_apply-{F}(V0,V7,V8), V2 == V8, P_singleton-{F}(V7,V9), P_unordered_pair-{F}(V7,V2,V10), P_singleton-{F}(V11,V9), P_apply-{F}(V3,V11,V12), P_unordered_pair-{F}(V11,V13,V10), V13 == V12 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #5755: mergings( V4 == V7, V1 == V5; #5749 ), references = 6, size of lhs = 21:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), pppp1-{F}(V3,V1), P_relation_dom-{F}(V3,V1), P_powerset-{F}(V4,V1), V4 == V2, pppp0-{F}(V5,V6), pppp3-{F}(V5,V4,V6), in-{F}(V6,V7), P_apply-{F}(V0,V7,V8), V2 == V8, P_singleton-{F}(V7,V9), P_unordered_pair-{F}(V7,V2,V10), P_singleton-{F}(V11,V9), P_apply-{F}(V3,V11,V12), P_unordered_pair-{F}(V11,V13,V10), V13 == V12 | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #5760: mergings( V4 == V6, V3 == V5; #5756 ), references = 1, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V1,V2), P_powerset-{F}(V3,V2), V3 == V0, pppp0-{F}(V4,V5), pppp3-{F}(V4,V3,V5), in-{F}(V5,V6), P_unordered_pair-{F}(V6,V0,V7), P_singleton-{F}(V6,V8), P_unordered_pair-{F}(V6,V9,V7) | P_apply-{T}(V1,V6,V0), P_apply-{T}(V1,V6,V9)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #5763: mergings( V4 == V6, V3 == V5; #5757 ), references = 1, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V1,V2), P_powerset-{F}(V3,V2), V3 == V0, pppp0-{F}(V4,V5), pppp3-{F}(V4,V3,V5), in-{F}(V5,V6), P_unordered_pair-{F}(V6,V0,V7), P_singleton-{F}(V6,V8), P_unordered_pair-{F}(V6,V9,V7) | P_apply-{T}(V1,V6,V0), P_apply-{T}(V1,V6,V9)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6036: exists( #80, #5752 ), references = 1, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V1,V2), P_powerset-{F}(V3,V2), V3 == V0, pppp0-{F}(V4,V5), pppp3-{F}(V4,V3,V5), in-{F}(V5,V6), P_unordered_pair-{F}(V6,V0,V7), P_singleton-{F}(V6,V8), P_unordered_pair-{F}(V6,V9,V7) | P_apply-{T}(V1,V6,V0), P_apply-{T}(V1,V6,V9)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6037: exists( #80, #5755 ), references = 1, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V1,V2), P_powerset-{F}(V3,V2), V3 == V0, pppp0-{F}(V4,V5), pppp3-{F}(V4,V3,V5), in-{F}(V5,V6), P_unordered_pair-{F}(V6,V0,V7), P_singleton-{F}(V6,V8), P_unordered_pair-{F}(V6,V9,V7) | P_apply-{T}(V1,V6,V0), P_apply-{T}(V1,V6,V9)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6108: disj( #15, #11+#0 ), references = 1, size of lhs = 3:
% 198.05/198.22 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp3-{F}(V1,V3,V2) | in-{T}(V2,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6110: mergings( V3 == V7; #6106 ), references = 1, size of lhs = 12:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), pppp1-{F}(V2,V1), pppp1-{F}(V0,V3), pppp3-{F}(V2,V4,V3), P_apply-{F}(V0,V3,V5), P_empty_set-{F}(V6), P_singleton-{F}(V1,V7), P_singleton-{F}(V3,V7), P_unordered_pair-{F}(V3,V5,V8), P_unordered_pair-{F}(V1,V9,V8) | in-{T}(V3,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6114: mergings( V8 == V11, V3 == V4, V7 == V9; #6107 ), references = 1, size of lhs = 11:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V3,V2), pppp3-{F}(V3,V4,V5), P_singleton-{F}(V5,V6), P_unordered_pair-{F}(V5,V7,V6), P_apply-{F}(V1,V5,V8), V7 == V8, P_unordered_pair-{F}(V5,V8,V6) | in-{T}(V5,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6219: mergings( V0 == V3, V3 == V4, V4 == V5; #6213 ), references = 1, size of lhs = 4:
% 198.05/198.22 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), pppp1-{F}(V3,V4), P_ordered_pair-{F}(V4,V5,V2) | pppp17-{T}(V1,V3)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6224: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6; #6214 ), references = 1, size of lhs = 7:
% 198.05/198.22 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp0-{F}(V4,V3), pppp3-{F}(V4,V5,V3), V5 == V0, P_powerset-{F}(V5,V6) | pppp17-{T}(V1,V6)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6229: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V10; #6215 ), references = 1, size of lhs = 13:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), pppp1-{F}(V0,V2), P_apply-{F}(V0,V2,V3), P_empty_set-{F}(V4), P_singleton-{F}(V1,V5), P_singleton-{F}(V2,V5), P_unordered_pair-{F}(V2,V3,V6), P_unordered_pair-{F}(V1,V7,V6), pppp1-{F}(V8,V1), pppp0-{F}(V9,V10), P_ordered_pair-{F}(V2,V11,V10) | pppp17-{T}(V9,V8)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6370: exists( #80, #5752 ), references = 1, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V1,V2), P_powerset-{F}(V3,V2), V3 == V0, pppp0-{F}(V4,V5), pppp3-{F}(V4,V3,V5), in-{F}(V5,V6), P_unordered_pair-{F}(V6,V0,V7), P_singleton-{F}(V6,V8), P_unordered_pair-{F}(V6,V9,V7) | P_apply-{T}(V1,V6,V0), P_apply-{T}(V1,V6,V9)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6371: exists( #80, #5755 ), references = 1, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V1,V2), P_powerset-{F}(V3,V2), V3 == V0, pppp0-{F}(V4,V5), pppp3-{F}(V4,V3,V5), in-{F}(V5,V6), P_unordered_pair-{F}(V6,V0,V7), P_singleton-{F}(V6,V8), P_unordered_pair-{F}(V6,V9,V7) | P_apply-{T}(V1,V6,V0), P_apply-{T}(V1,V6,V9)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6417: mergings( V0 == V3; #6413 ), references = 1, size of lhs = 4:
% 198.05/198.22 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), pppp0-{F}(V3,V2), pppp3-{F}(V3,V4,V2) | pppp17-{T}(V1,V4)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6420: mergings( V0 == V3, V3 == V6; #6414 ), references = 1, size of lhs = 21:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), pppp1-{F}(V3,V1), P_relation_dom-{F}(V3,V1), P_powerset-{F}(V4,V1), V4 == V2, pppp0-{F}(V5,V6), pppp0-{F}(V7,V6), pppp3-{F}(V7,V4,V6), P_apply-{F}(V0,V8,V9), V2 == V9, P_singleton-{F}(V8,V10), P_unordered_pair-{F}(V8,V2,V11), P_singleton-{F}(V12,V10), P_apply-{F}(V3,V12,V13), P_unordered_pair-{F}(V12,V14,V11), V14 == V13 | pppp17-{T}(V5,V8)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6423: mergings( V0 == V3, V3 == V6; #6415 ), references = 1, size of lhs = 21:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), pppp1-{F}(V3,V1), P_relation_dom-{F}(V3,V1), P_powerset-{F}(V4,V1), V4 == V2, pppp0-{F}(V5,V6), pppp0-{F}(V7,V6), pppp3-{F}(V7,V4,V6), P_apply-{F}(V0,V8,V9), V2 == V9, P_singleton-{F}(V8,V10), P_unordered_pair-{F}(V8,V2,V11), P_singleton-{F}(V12,V10), P_apply-{F}(V3,V12,V13), P_unordered_pair-{F}(V12,V14,V11), V14 == V13 | pppp17-{T}(V5,V8)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6593: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #6585 ), references = 1, size of lhs = 6:
% 198.05/198.22 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), P_powerset-{F}(V3,V2), V3 == V0, in-{F}(V3,V4), in-{F}(V4,V5) | pppp17-{T}(V1,V5)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6739: exists( #80, #5752 ), references = 1, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V1,V2), P_powerset-{F}(V3,V2), V3 == V0, pppp0-{F}(V4,V5), pppp3-{F}(V4,V3,V5), in-{F}(V5,V6), P_unordered_pair-{F}(V6,V0,V7), P_singleton-{F}(V6,V8), P_unordered_pair-{F}(V6,V9,V7) | P_apply-{T}(V1,V6,V0), P_apply-{T}(V1,V6,V9)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6740: exists( #80, #5755 ), references = 1, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V1,V2), P_powerset-{F}(V3,V2), V3 == V0, pppp0-{F}(V4,V5), pppp3-{F}(V4,V3,V5), in-{F}(V5,V6), P_unordered_pair-{F}(V6,V0,V7), P_singleton-{F}(V6,V8), P_unordered_pair-{F}(V6,V9,V7) | P_apply-{T}(V1,V6,V0), P_apply-{T}(V1,V6,V9)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6994: mergings( V1 == V6; #6990 ), references = 1, size of lhs = 6:
% 198.05/198.22 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_apply-{F}(V1,V3,V4), pppp14-{F}(V3,V4,V1), P_ordered_pair-{F}(V3,V4,V5) | in-{T}(V5,V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #6997: mergings( V7 == V1, V4 == V5; #6991 ), references = 2, size of lhs = 7:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_apply-{F}(V1,V3,V4), pppp14-{F}(V3,V4,V1), P_ordered_pair-{F}(V3,V4,V5) | in-{T}(V5,V1)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #7000: mergings( V4 == V7, V1 == V14; #6992 ), references = 1, size of lhs = 15:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), pppp1-{F}(V0,V3), in-{F}(V3,V4), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), P_apply-{F}(V0,V6,V7), P_unordered_pair-{F}(V6,V7,V8), P_unordered_pair-{F}(V4,V9,V8), P_relation_dom-{F}(V10,V1), P_apply-{F}(V10,V6,V11), pppp14-{F}(V6,V11,V10), P_ordered_pair-{F}(V6,V11,V12) | in-{T}(V12,V10)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #7247: exists( #80, #5752 ), references = 1, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V1,V2), P_powerset-{F}(V3,V2), V3 == V0, pppp0-{F}(V4,V5), pppp3-{F}(V4,V3,V5), in-{F}(V5,V6), P_unordered_pair-{F}(V6,V0,V7), P_singleton-{F}(V6,V8), P_unordered_pair-{F}(V6,V9,V7) | P_apply-{T}(V1,V6,V0), P_apply-{T}(V1,V6,V9)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #7248: exists( #80, #5755 ), references = 1, size of lhs = 13:
% 198.05/198.22 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V1,V2), P_powerset-{F}(V3,V2), V3 == V0, pppp0-{F}(V4,V5), pppp3-{F}(V4,V3,V5), in-{F}(V5,V6), P_unordered_pair-{F}(V6,V0,V7), P_singleton-{F}(V6,V8), P_unordered_pair-{F}(V6,V9,V7) | P_apply-{T}(V1,V6,V0), P_apply-{T}(V1,V6,V9)
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #7492: mergings( V5 == V9, V3 == V6, V6 == V7, V7 == V8; #7486 ), references = 1, size of lhs = 7:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), pppp1-{F}(V0,V2), P_relation_dom-{F}(V0,V2), P_apply-{F}(V0,V3,V4), pppp14-{F}(V3,V4,V0) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #7509: mergings( V5 == V6, V6 == V10, V3 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V1; #7500 ), references = 1, size of lhs = 6:
% 198.05/198.22 relation-{F}(V0), function-{F}(V0), pppp15-{F}(V0,V1), P_empty_set-{F}(V1), pppp1-{F}(V0,V2), P_relation_dom-{F}(V0,V2) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #7530: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #7522 ), references = 2, size of lhs = 4:
% 198.05/198.22 pppp16-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #7537: mergings( V0 == V2; #7535 ), references = 1, size of lhs = 1:
% 198.05/198.22 P_empty_set-{F}(V0) | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 #7539: exists( #82, #7535 ), references = 1, size of lhs = 0:
% 198.05/198.22 FALSE | FALSE
% 198.05/198.22 (used 0 times, uses = {})
% 198.05/198.22
% 198.05/198.22 number of learnt formulas = 165
% 198.05/198.22
% 198.05/198.22
% 198.05/198.22 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 198.05/198.22
% 198.05/198.22 randbase = 1
%------------------------------------------------------------------------------