TSTP Solution File: SEU106+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU106+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:17:11 EDT 2022
% Result : Theorem 163.71s 163.97s
% Output : Refutation 163.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU106+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 19:39:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 163.71/163.97 GeoParameters:
% 163.71/163.97
% 163.71/163.97 tptp_input = 1
% 163.71/163.97 tptp_output = 0
% 163.71/163.97 nonempty = 1
% 163.71/163.97 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 163.71/163.97 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 163.71/163.97
% 163.71/163.97
% 163.71/163.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 163.71/163.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 163.71/163.97
% 163.71/163.97 RuleSystem INPUT:
% 163.71/163.97
% 163.71/163.97 Initial Rules:
% 163.71/163.97 #0: input, references = 9, size of lhs = 2:
% 163.71/163.97 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1: input, references = 3, size of lhs = 1:
% 163.71/163.97 empty-{F}(V0) | finite-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2: input, references = 3, size of lhs = 1:
% 163.71/163.97 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #3: input, references = 3, size of lhs = 1:
% 163.71/163.97 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #4: input, references = 3, size of lhs = 3:
% 163.71/163.97 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #5: input, references = 3, size of lhs = 2:
% 163.71/163.97 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #6: input, references = 4, size of lhs = 3:
% 163.71/163.97 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #7: input, references = 4, size of lhs = 3:
% 163.71/163.97 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #8: input, references = 4, size of lhs = 3:
% 163.71/163.97 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V3), V2 == V3 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #9: input, references = 6, size of lhs = 5:
% 163.71/163.97 P_symmetric_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V3), P_set_difference-{F}(V1,V0,V4), P_set_union2-{F}(V3,V4,V5), V2 == V5 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #10: input, references = 6, size of lhs = 1:
% 163.71/163.97 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #11: input, references = 6, size of lhs = 1:
% 163.71/163.97 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #12: input, references = 3, size of lhs = 2:
% 163.71/163.97 finite-{F}(V0), P_set_intersection2-{F}(V1,V0,V2) | finite-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #13: input, references = 3, size of lhs = 2:
% 163.71/163.97 finite-{F}(V0), P_set_intersection2-{F}(V0,V1,V2) | finite-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #14: input, references = 3, size of lhs = 2:
% 163.71/163.97 finite-{F}(V0), P_set_difference-{F}(V0,V1,V2) | finite-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #15: input, references = 3, size of lhs = 3:
% 163.71/163.97 finite-{F}(V0), P_symmetric_difference-{F}(V1,V0,V2), finite-{F}(V1) | finite-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #16: input, references = 3, size of lhs = 2:
% 163.71/163.97 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #17: input, references = 3, size of lhs = 1:
% 163.71/163.97 P_empty_set-{F}(V0) | empty-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #18: input, references = 3, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #19: input, references = 3, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #20: input, references = 3, size of lhs = 4:
% 163.71/163.97 P_empty_set-{F}(V0), finite-{F}(V1), P_set_union2-{F}(V2,V1,V3), finite-{F}(V2) | finite-{T}(V3)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #21: input, references = 4, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #22: input, references = 4, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #23: input, references = 3, size of lhs = 1:
% 163.71/163.97 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #24: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp2-{F}(V0) | finite-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #25: input, references = 3, size of lhs = 2:
% 163.71/163.97 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #26: input, references = 3, size of lhs = 1:
% 163.71/163.97 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #27: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp4-{F}(V0) | pppp3-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #28: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp3-{F}(V0) | preboolean-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #29: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp3-{F}(V0) | diff_closed-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #30: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp3-{F}(V0) | cap_closed-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #31: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp3-{F}(V0) | cup_closed-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #32: input, references = 3, size of lhs = 2:
% 163.71/163.97 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #33: input, references = 4, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #34: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp16-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #35: input, references = 3, size of lhs = 2:
% 163.71/163.97 pppp5-{F}(V0,V1), empty-{F}(V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #36: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #37: input, references = 4, size of lhs = 1:
% 163.71/163.97 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #38: input, references = 5, size of lhs = 1:
% 163.71/163.97 pppp6-{F}(V0) | empty-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #39: input, references = 4, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V2,V3)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #40: input, references = 4, size of lhs = 1:
% 163.71/163.97 pppp8-{F}(V0,V1) | pppp7-{T}(V1,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #41: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp7-{F}(V0,V1) | finite-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #42: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp7-{F}(V0,V1) | natural-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #43: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp7-{F}(V0,V1) | ordinal-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #44: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp7-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #45: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp7-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #46: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp7-{F}(V0,V1) | one_to_one-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #47: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp7-{F}(V0,V1) | function-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #48: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp7-{F}(V0,V1) | relation-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #49: input, references = 4, size of lhs = 1:
% 163.71/163.97 pppp7-{F}(V0,V1) | empty-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #50: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #51: input, references = 4, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V3,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #52: input, references = 4, size of lhs = 1:
% 163.71/163.97 pppp9-{F}(V0,V1) | empty-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #53: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #54: input, references = 3, size of lhs = 1:
% 163.71/163.97 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #55: input, references = 3, size of lhs = 2:
% 163.71/163.97 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #56: input, references = 4, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp17-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #57: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp17-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #58: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp11-{F}(V0,V1) | finite-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #59: input, references = 3, size of lhs = 2:
% 163.71/163.97 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #60: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #61: input, references = 4, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp18-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #62: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp18-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #63: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp12-{F}(V0,V1) | finite-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #64: input, references = 3, size of lhs = 2:
% 163.71/163.97 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #65: input, references = 3, size of lhs = 1:
% 163.71/163.97 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #66: input, references = 4, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #67: input, references = 5, size of lhs = 5:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), P_set_intersection2-{F}(V1,V2,V4), P_symmetric_difference-{F}(V1,V4,V5), V3 == V5 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #68: input, references = 3, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), preboolean-{F}(V1) | pppp0-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #69: input, references = 4, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1) | preboolean-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #70: input, references = 19, size of lhs = 6:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), P_set_union2-{F}(V3,V2,V4), P_set_difference-{F}(V3,V2,V5), in-{F}(V3,V1) | in-{T}(V4,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #71: input, references = 13, size of lhs = 6:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), P_set_union2-{F}(V3,V2,V4), P_set_difference-{F}(V3,V2,V5), in-{F}(V3,V1) | in-{T}(V5,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #72: input, references = 10, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V1), pppp19-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #73: input, references = 6, size of lhs = 1:
% 163.71/163.97 pppp19-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #74: input, references = 5, size of lhs = 1:
% 163.71/163.97 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #75: input, references = 7, size of lhs = 1:
% 163.71/163.97 pppp14-{F}(V0,V1) | in-{T}(V1,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #76: input, references = 6, size of lhs = 5:
% 163.71/163.97 pppp13-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V1,V2,V4), in-{F}(V3,V0), in-{F}(V4,V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #77: input, references = 10, size of lhs = 3:
% 163.71/163.97 pppp13-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V1,V2,V4) | in-{T}(V1,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #78: input, references = 4, size of lhs = 1:
% 163.71/163.97 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #79: input, references = 4, size of lhs = 2:
% 163.71/163.97 pppp15-{F}(V0), preboolean-{F}(V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #80: input, references = 13, size of lhs = 5:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), P_symmetric_difference-{F}(V1,V2,V3), P_set_union2-{F}(V1,V2,V4), element-{F}(V2,V0) | in-{T}(V4,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #81: input, references = 33, size of lhs = 5:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), P_symmetric_difference-{F}(V1,V2,V3), P_set_union2-{F}(V1,V2,V4), element-{F}(V2,V0) | in-{T}(V3,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #82: input, references = 3, size of lhs = 2:
% 163.71/163.97 pppp15-{F}(V0), empty-{F}(V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #83: input, references = 4, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #84: input, references = 49, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #85: input, references = 4, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #86: input, references = 4, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #87: input, references = 3, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #88: input, references = 3, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #89: input, references = 4, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #90: input, references = 3, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_difference-{F}(V0,V1,V2), V2 == V0 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #91: input, references = 32, size of lhs = 4:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #92: input, references = 4, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_symmetric_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #93: input, references = 5, size of lhs = 5:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #94: input, references = 6, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #95: input, references = 4, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #96: input, references = 4, size of lhs = 4:
% 163.71/163.97 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #97: input, references = 5, size of lhs = 6:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), P_symmetric_difference-{F}(V1,V2,V4), P_set_union2-{F}(V1,V2,V5), P_symmetric_difference-{F}(V4,V5,V6), V3 == V6 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #98: input, references = 4, size of lhs = 1:
% 163.71/163.97 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #99: input, references = 26, size of lhs = 2:
% 163.71/163.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #100: input, references = 12, size of lhs = 2:
% 163.71/163.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #101: input, references = 11, size of lhs = 2:
% 163.71/163.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_symmetric_difference-{T}(V0,V1,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #102: input, references = 20, size of lhs = 2:
% 163.71/163.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #103: input, references = 4, size of lhs = 0:
% 163.71/163.97 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 number of initial rules = 104
% 163.71/163.97
% 163.71/163.97 Simplifiers:
% 163.71/163.97 #104: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #105: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #106: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #107: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #108: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #109: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #110: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #111: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #112: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #113: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #114: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #115: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #116: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #117: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #118: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #119: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #120: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #121: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #122: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #123: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #124: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #125: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #126: unsound, references = 3, size of lhs = 3:
% 163.71/163.97 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 number of simplifiers = 23
% 163.71/163.97
% 163.71/163.97 Learnt:
% 163.71/163.97 #128: exists( #99, #21 ), references = 1, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #130: exists( #100, #22 ), references = 1, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #137: mergings( V0 == V2; #134 ), references = 1, size of lhs = 1:
% 163.71/163.97 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #139: mergings( V0 == V2; #135 ), references = 1, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #141: exists( #102, #67 ), references = 10, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), P_symmetric_difference-{F}(V1,V3,V4) | P_set_difference-{T}(V1,V2,V4)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #144: exists( #99, #83 ), references = 3, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #147: exists( #100, #85 ), references = 2, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #151: exists( #99, #6 ), references = 6, size of lhs = 1:
% 163.71/163.97 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #154: exists( #100, #7 ), references = 2, size of lhs = 1:
% 163.71/163.97 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #156: exists( #101, #92 ), references = 2, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), #-{F} V1 | P_symmetric_difference-{T}(V1,V0,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #158: exists( #101, #97 ), references = 11, size of lhs = 4:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), P_symmetric_difference-{F}(V1,V2,V4), P_set_union2-{F}(V1,V2,V5) | P_symmetric_difference-{T}(V4,V5,V3)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #165: mergings( V0 == V3; #161 ), references = 22, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #168: mergings( V0 == V3, V2 == V3; #162 ), references = 1, size of lhs = 4:
% 163.71/163.97 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #170: mergings( V2 == V0; #163 ), references = 1, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #177: exists( #101, #8 ), references = 6, size of lhs = 1:
% 163.71/163.97 P_symmetric_difference-{F}(V0,V1,V2) | P_symmetric_difference-{T}(V1,V0,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #178: exists( #101, #9 ), references = 1, size of lhs = 3:
% 163.71/163.97 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V1,V0,V3), P_set_union2-{F}(V2,V3,V4) | P_symmetric_difference-{T}(V0,V1,V4)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #191: mergings( V0 == V3; #187 ), references = 1, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp17-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #194: mergings( V0 == V3, V1 == V3; #188 ), references = 1, size of lhs = 4:
% 163.71/163.97 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp17-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #197: mergings( V0 == V3, V1 == V3; #189 ), references = 1, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp17-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #202: mergings( V2 == V3; #200 ), references = 4, size of lhs = 5:
% 163.71/163.97 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #206: exists( #10, #204 ), references = 1, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp1-{T}(V2,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #221: mergings( V0 == V3; #217 ), references = 1, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp18-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #224: mergings( V0 == V3, V1 == V3; #218 ), references = 1, size of lhs = 4:
% 163.71/163.97 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #228: mergings( V2 == V4, V0 == V3, V1 == V3; #219 ), references = 1, size of lhs = 4:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp18-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #242: mergings( V0 == V3; #238 ), references = 1, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #245: mergings( V0 == V3, V1 == V3; #239 ), references = 1, size of lhs = 4:
% 163.71/163.97 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #249: mergings( V2 == V4, V0 == V3, V1 == V3; #240 ), references = 1, size of lhs = 4:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp16-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #285: mergings( V0 == V4; #283 ), references = 1, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V2,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #305: mergings( V0 == V4; #303 ), references = 1, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp9-{T}(V0,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #309: mergings( V0 == V2; #307 ), references = 2, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1) | pppp19-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #315: exists( #100, #97 ), references = 1, size of lhs = 4:
% 163.71/163.97 P_empty_set-{F}(V0), P_symmetric_difference-{F}(V1,V2,V3), P_set_union2-{F}(V1,V2,V4), P_symmetric_difference-{F}(V3,V4,V5) | P_set_intersection2-{T}(V1,V2,V5)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #340: exists( #73, #336 ), references = 1, size of lhs = 3:
% 163.71/163.97 pppp19-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #342: mergings( V0 == V2; #339 ), references = 1, size of lhs = 5:
% 163.71/163.97 pppp19-{F}(V0), P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #346: mergings( V0 == V2; #343 ), references = 1, size of lhs = 2:
% 163.71/163.97 empty-{F}(V0), P_empty_set-{F}(V1) | pppp0-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #349: mergings( V0 == V2, V1 == V2; #344 ), references = 1, size of lhs = 4:
% 163.71/163.97 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2) | pppp0-{T}(V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #379: exists( #101, #377 ), references = 7, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), P_set_intersection2-{F}(V1,V2,V4) | P_symmetric_difference-{T}(V4,V1,V3)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #399: mergings( V3 == V4; #397 ), references = 5, size of lhs = 8:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), in-{F}(V3,V1), P_set_union2-{F}(V3,V2,V4), P_set_union2-{F}(V5,V4,V1), in-{F}(V5,V1), P_set_difference-{F}(V5,V4,V6) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #411: exists( #99, #9 ), references = 4, size of lhs = 3:
% 163.71/163.97 P_symmetric_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V3), P_set_difference-{F}(V1,V0,V4) | P_set_union2-{T}(V3,V4,V2)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #427: mergings( V2 == V3; #425 ), references = 2, size of lhs = 4:
% 163.71/163.97 pppp19-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V0) | pppp14-{T}(V0,V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #459: mergings( V1 == V3; #457 ), references = 2, size of lhs = 2:
% 163.71/163.97 P_empty_set-{F}(V0), pppp14-{F}(V1,V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #549: exists( #102, #547 ), references = 4, size of lhs = 6:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), in-{F}(V3,V1), P_set_union2-{F}(V3,V2,V4), in-{F}(V1,V4) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #555: mergings( V3 == V4; #553 ), references = 2, size of lhs = 9:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), in-{F}(V3,V1), P_set_union2-{F}(V3,V2,V4), in-{F}(V1,V5), P_symmetric_difference-{F}(V3,V2,V5), P_set_difference-{F}(V2,V3,V6), in-{F}(V6,V1) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #559: mergings( V3 == V4; #557 ), references = 1, size of lhs = 8:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), in-{F}(V3,V1), P_set_union2-{F}(V2,V3,V4), P_set_union2-{F}(V3,V2,V5), in-{F}(V1,V6), P_symmetric_difference-{F}(V3,V2,V6) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #563: mergings( V3 == V4; #561 ), references = 4, size of lhs = 6:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), in-{F}(V3,V1), in-{F}(V1,V4), P_symmetric_difference-{F}(V3,V2,V4) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #572: mergings( V0 == V3; #570 ), references = 1, size of lhs = 3:
% 163.71/163.97 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp0-{T}(V1)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #684: exists( #102, #682 ), references = 1, size of lhs = 7:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), P_set_union2-{F}(V3,V2,V1), pppp13-{F}(V1,V3,V4), P_set_union2-{F}(V3,V4,V5), P_symmetric_difference-{F}(V3,V2,V6) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #687: exists( #101, #685 ), references = 1, size of lhs = 6:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), P_set_union2-{F}(V3,V2,V1), pppp13-{F}(V1,V3,V4), P_set_union2-{F}(V3,V4,V5) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #702: mergings( V3 == V4, V4 == V5, V5 == V6; #698 ), references = 1, size of lhs = 12:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1), V1 == V0, P_powerset-{F}(V1,V2), in-{F}(V3,V1), in-{F}(V4,V1), P_set_union2-{F}(V4,V5,V1), P_set_union2-{F}(V6,V3,V5), in-{F}(V6,V7), pppp13-{F}(V2,V7,V8), P_set_union2-{F}(V7,V8,V9), P_set_difference-{F}(V4,V5,V10) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #708: mergings( V3 == V4, V4 == V5, V5 == V6; #704 ), references = 2, size of lhs = 11:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1), V1 == V0, P_powerset-{F}(V1,V2), in-{F}(V3,V1), in-{F}(V4,V1), P_set_union2-{F}(V4,V5,V1), P_set_union2-{F}(V6,V3,V5), in-{F}(V6,V7), pppp13-{F}(V2,V7,V8), P_set_difference-{F}(V4,V5,V9) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #800: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #792 ), references = 1, size of lhs = 16:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1), V1 == V0, P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V1), in-{F}(V5,V1), P_set_union2-{F}(V5,V6,V1), P_set_union2-{F}(V7,V4,V6), in-{F}(V7,V8), in-{F}(V8,V9), pppp13-{F}(V3,V9,V10), P_set_intersection2-{F}(V9,V10,V11), P_set_intersection2-{F}(V11,V12,V9), P_set_union2-{F}(V9,V10,V13), P_set_difference-{F}(V5,V6,V14) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #808: mergings( V11 == V13, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #793 ), references = 1, size of lhs = 17:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1), V1 == V0, P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V1), P_set_union2-{F}(V4,V5,V1), P_set_difference-{F}(V4,V5,V6), in-{F}(V7,V8), in-{F}(V8,V9), pppp13-{F}(V3,V9,V10), P_set_intersection2-{F}(V9,V10,V11), P_set_intersection2-{F}(V11,V12,V9), P_set_union2-{F}(V9,V10,V13), P_set_union2-{F}(V14,V7,V5), in-{F}(V14,V15), pppp13-{F}(V2,V15,V16) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #836: mergings( V5 == V6, V6 == V7, V7 == V8; #830 ), references = 2, size of lhs = 12:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), pppp0-{F}(V5), V5 == V4, P_powerset-{F}(V5,V0), in-{F}(V6,V5), P_set_difference-{F}(V7,V6,V5), in-{F}(V7,V3), P_set_union2-{F}(V7,V6,V8) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #841: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9; #831 ), references = 2, size of lhs = 13:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), pppp0-{F}(V5), V5 == V4, P_set_union2-{F}(V5,V5,V5), P_powerset-{F}(V5,V0), in-{F}(V6,V5), P_set_difference-{F}(V7,V6,V5), in-{F}(V7,V3), P_set_union2-{F}(V7,V6,V8) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #846: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9; #832 ), references = 2, size of lhs = 14:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), pppp0-{F}(V5), V5 == V4, P_powerset-{F}(V5,V0), in-{F}(V6,V5), P_set_difference-{F}(V7,V6,V5), in-{F}(V7,V3), P_set_union2-{F}(V7,V6,V8), in-{F}(V9,V5), P_symmetric_difference-{F}(V5,V9,V5) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #901: mergings( V3 == V8; #897 ), references = 3, size of lhs = 14:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), P_empty_set-{F}(V6), pppp0-{F}(V7), V7 == V6, P_powerset-{F}(V7,V0), in-{F}(V8,V7), P_set_difference-{F}(V9,V8,V7), in-{F}(V9,V5), P_set_union2-{F}(V9,V8,V10) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #903: mergings( V3 == V8; #898 ), references = 3, size of lhs = 15:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), P_empty_set-{F}(V6), pppp0-{F}(V7), V7 == V6, P_set_union2-{F}(V7,V7,V7), P_powerset-{F}(V7,V0), in-{F}(V8,V7), P_set_difference-{F}(V9,V8,V7), in-{F}(V9,V5), P_set_union2-{F}(V9,V8,V10) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #905: mergings( V3 == V8; #899 ), references = 3, size of lhs = 16:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), P_empty_set-{F}(V6), pppp0-{F}(V7), V7 == V6, P_powerset-{F}(V7,V0), in-{F}(V8,V7), P_set_difference-{F}(V9,V8,V7), in-{F}(V9,V5), P_set_union2-{F}(V9,V8,V10), in-{F}(V11,V7), P_symmetric_difference-{F}(V7,V11,V7) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #949: mergings( V5 == V6, V6 == V7, V7 == V8; #943 ), references = 2, size of lhs = 13:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), pppp0-{F}(V5), V5 == V4, P_powerset-{F}(V5,V0), in-{F}(V6,V5), in-{F}(V5,V7), P_set_difference-{F}(V8,V6,V7), in-{F}(V8,V3), P_set_union2-{F}(V8,V6,V9) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #954: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9; #944 ), references = 2, size of lhs = 14:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), pppp0-{F}(V5), V5 == V4, P_powerset-{F}(V5,V0), in-{F}(V6,V5), in-{F}(V5,V7), in-{F}(V8,V3), P_set_union2-{F}(V8,V6,V9), P_set_difference-{F}(V8,V6,V10), P_set_union2-{F}(V10,V10,V7) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #959: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9; #945 ), references = 4, size of lhs = 15:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), pppp0-{F}(V5), V5 == V4, P_powerset-{F}(V5,V0), in-{F}(V6,V5), in-{F}(V7,V5), in-{F}(V5,V8), in-{F}(V9,V3), P_set_union2-{F}(V9,V6,V10), P_set_difference-{F}(V9,V6,V11), P_symmetric_difference-{F}(V7,V11,V8) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #983: mergings( V0 == V6; #979 ), references = 1, size of lhs = 12:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), in-{F}(V5,V3), P_powerset-{F}(V6,V0), V6 == V4, in-{F}(V7,V6), in-{F}(V6,V8), P_set_difference-{F}(V5,V7,V8), P_set_union2-{F}(V5,V7,V9) | pppp19-{T}(V6)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #985: mergings( V0 == V6; #980 ), references = 1, size of lhs = 13:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), in-{F}(V5,V3), P_powerset-{F}(V6,V0), V6 == V4, in-{F}(V7,V6), in-{F}(V6,V8), P_set_union2-{F}(V5,V7,V9), P_set_difference-{F}(V5,V7,V10), P_set_union2-{F}(V10,V10,V8) | pppp19-{T}(V6)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #987: mergings( V0 == V6; #981 ), references = 1, size of lhs = 14:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), in-{F}(V5,V3), P_powerset-{F}(V6,V0), V6 == V4, in-{F}(V7,V6), in-{F}(V8,V6), in-{F}(V6,V9), P_set_union2-{F}(V5,V7,V10), P_set_difference-{F}(V5,V7,V11), P_symmetric_difference-{F}(V8,V11,V9) | pppp19-{T}(V6)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1021: mergings( V8 == V3, V5 == V6, V6 == V7, V7 == V12; #1016 ), references = 1, size of lhs = 18:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), element-{F}(V5,V0), P_symmetric_difference-{F}(V4,V5,V6), P_empty_set-{F}(V7), pppp0-{F}(V8), V8 == V7, P_powerset-{F}(V8,V0), in-{F}(V9,V8), in-{F}(V8,V10), in-{F}(V11,V6), in-{F}(V12,V3), P_set_union2-{F}(V11,V12,V13), P_set_difference-{F}(V11,V12,V14), P_symmetric_difference-{F}(V9,V14,V10) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1042: exists( #101, #1040 ), references = 1, size of lhs = 4:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), P_set_union2-{F}(V1,V2,V0), element-{F}(V2,V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1079: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1074 ), references = 4, size of lhs = 17:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), pppp0-{F}(V5), V5 == V4, P_powerset-{F}(V5,V0), in-{F}(V6,V5), in-{F}(V7,V5), in-{F}(V8,V5), in-{F}(V9,V3), P_set_union2-{F}(V6,V9,V10), P_set_difference-{F}(V6,V9,V11), P_set_union2-{F}(V7,V10,V12), P_set_union2-{F}(V8,V12,V5), P_set_difference-{F}(V8,V12,V13) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1166: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1159 ), references = 2, size of lhs = 15:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), pppp0-{F}(V5), V5 == V4, P_powerset-{F}(V5,V0), in-{F}(V6,V5), in-{F}(V7,V5), in-{F}(V5,V8), in-{F}(V9,V3), P_set_union2-{F}(V6,V9,V10), P_set_union2-{F}(V7,V10,V8), P_set_difference-{F}(V6,V9,V11) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1214: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #1207 ), references = 2, size of lhs = 19:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), pppp0-{F}(V5), V5 == V4, P_powerset-{F}(V5,V0), in-{F}(V6,V5), in-{F}(V7,V5), in-{F}(V8,V5), in-{F}(V9,V3), P_set_union2-{F}(V6,V9,V10), P_set_difference-{F}(V6,V9,V11), P_set_union2-{F}(V9,V7,V12), P_set_difference-{F}(V9,V7,V13), P_set_union2-{F}(V10,V13,V14), P_set_union2-{F}(V8,V14,V5), P_set_difference-{F}(V8,V14,V15) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1221: mergings( V10 == V3, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V14; #1208 ), references = 3, size of lhs = 25:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), element-{F}(V5,V0), P_symmetric_difference-{F}(V4,V5,V6), P_empty_set-{F}(V7), pppp0-{F}(V8), V8 == V7, P_powerset-{F}(V8,V0), in-{F}(V9,V8), in-{F}(V10,V8), in-{F}(V11,V8), in-{F}(V12,V6), in-{F}(V13,V3), P_set_union2-{F}(V9,V13,V14), P_set_difference-{F}(V9,V13,V15), P_set_union2-{F}(V13,V10,V16), P_set_difference-{F}(V13,V10,V17), P_set_union2-{F}(V17,V12,V18), P_set_difference-{F}(V17,V12,V19), P_set_union2-{F}(V14,V18,V20), P_set_union2-{F}(V11,V20,V8), P_set_difference-{F}(V11,V20,V21) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1230: mergings( V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #1224 ), references = 1, size of lhs = 19:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), pppp0-{F}(V5), V5 == V4, P_powerset-{F}(V5,V0), in-{F}(V6,V5), in-{F}(V7,V5), in-{F}(V8,V5), in-{F}(V9,V3), P_set_union2-{F}(V6,V9,V10), P_set_difference-{F}(V7,V9,V10), P_set_difference-{F}(V6,V9,V11), P_set_union2-{F}(V9,V7,V12), P_symmetric_difference-{F}(V7,V9,V13), P_set_union2-{F}(V8,V13,V5), P_set_difference-{F}(V8,V13,V14) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1255: mergings( V0 == V6; #1251 ), references = 1, size of lhs = 12:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), in-{F}(V5,V3), P_powerset-{F}(V6,V0), V6 == V4, in-{F}(V7,V6), in-{F}(V6,V8), P_set_difference-{F}(V5,V7,V8), P_set_union2-{F}(V5,V7,V9) | pppp19-{T}(V6)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1257: mergings( V0 == V6; #1252 ), references = 1, size of lhs = 13:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), in-{F}(V5,V3), P_powerset-{F}(V6,V0), V6 == V4, in-{F}(V7,V6), in-{F}(V6,V8), P_set_union2-{F}(V5,V7,V9), P_set_difference-{F}(V5,V7,V10), P_set_union2-{F}(V10,V10,V8) | pppp19-{T}(V6)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1259: mergings( V0 == V6; #1253 ), references = 1, size of lhs = 14:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), in-{F}(V5,V3), P_powerset-{F}(V6,V0), V6 == V4, in-{F}(V7,V6), in-{F}(V8,V6), in-{F}(V6,V9), P_set_union2-{F}(V5,V7,V10), P_set_difference-{F}(V5,V7,V11), P_symmetric_difference-{F}(V8,V11,V9) | pppp19-{T}(V6)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1274: exists( #102, #1272 ), references = 1, size of lhs = 3:
% 163.71/163.97 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V0), P_symmetric_difference-{F}(V2,V1,V3) | P_set_difference-{T}(V2,V1,V3)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1298: mergings( V8 == V3, V5 == V6, V6 == V7, V7 == V12; #1292 ), references = 2, size of lhs = 22:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), element-{F}(V5,V0), P_symmetric_difference-{F}(V4,V5,V6), P_empty_set-{F}(V7), pppp0-{F}(V8), V8 == V7, P_powerset-{F}(V8,V0), in-{F}(V9,V8), in-{F}(V10,V8), in-{F}(V11,V6), P_set_union2-{F}(V9,V11,V12), P_set_difference-{F}(V9,V11,V13), in-{F}(V14,V3), P_set_union2-{F}(V11,V14,V15), P_set_difference-{F}(V11,V14,V16), P_set_union2-{F}(V12,V16,V17), P_set_union2-{F}(V10,V17,V8), P_set_difference-{F}(V10,V17,V18) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1302: mergings( V3 == V4, V4 == V5, V5 == V12; #1293 ), references = 2, size of lhs = 27:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), element-{F}(V5,V0), P_symmetric_difference-{F}(V4,V5,V6), element-{F}(V7,V0), P_empty_set-{F}(V8), pppp0-{F}(V9), V9 == V8, P_powerset-{F}(V9,V0), in-{F}(V10,V9), in-{F}(V11,V9), in-{F}(V12,V6), P_set_union2-{F}(V10,V12,V13), P_set_difference-{F}(V10,V12,V14), P_symmetric_difference-{F}(V3,V7,V15), in-{F}(V16,V15), in-{F}(V17,V3), P_set_union2-{F}(V12,V17,V18), P_set_difference-{F}(V12,V17,V19), P_set_union2-{F}(V19,V16,V20), P_set_difference-{F}(V19,V16,V21), P_set_union2-{F}(V13,V20,V22), P_set_union2-{F}(V11,V22,V9), P_set_difference-{F}(V11,V22,V23) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1352: mergings( V3 == V10; #1348 ), references = 1, size of lhs = 16:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), element-{F}(V6,V0), P_symmetric_difference-{F}(V5,V6,V7), P_empty_set-{F}(V8), pppp0-{F}(V9), V9 == V8, P_powerset-{F}(V9,V0), in-{F}(V10,V9), P_set_difference-{F}(V11,V10,V9), in-{F}(V11,V7), P_set_union2-{F}(V11,V10,V12) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1354: mergings( V3 == V10; #1349 ), references = 1, size of lhs = 17:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), element-{F}(V6,V0), P_symmetric_difference-{F}(V5,V6,V7), P_empty_set-{F}(V8), pppp0-{F}(V9), V9 == V8, P_set_union2-{F}(V9,V9,V9), P_powerset-{F}(V9,V0), in-{F}(V10,V9), P_set_difference-{F}(V11,V10,V9), in-{F}(V11,V7), P_set_union2-{F}(V11,V10,V12) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1356: mergings( V3 == V10; #1350 ), references = 1, size of lhs = 18:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), element-{F}(V6,V0), P_symmetric_difference-{F}(V5,V6,V7), P_empty_set-{F}(V8), pppp0-{F}(V9), V9 == V8, P_powerset-{F}(V9,V0), in-{F}(V10,V9), P_set_difference-{F}(V11,V10,V9), in-{F}(V11,V7), P_set_union2-{F}(V11,V10,V12), in-{F}(V13,V9), P_symmetric_difference-{F}(V9,V13,V9) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1402: mergings( V8 == V3, V5 == V6, V6 == V7, V7 == V14; #1395 ), references = 1, size of lhs = 17:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), element-{F}(V5,V0), P_symmetric_difference-{F}(V4,V5,V6), element-{F}(V7,V0), P_symmetric_difference-{F}(V6,V7,V8), P_empty_set-{F}(V9), pppp0-{F}(V10), V10 == V9, P_powerset-{F}(V10,V0), in-{F}(V11,V8), P_set_difference-{F}(V11,V12,V10), in-{F}(V12,V3), P_set_union2-{F}(V11,V12,V13) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1407: mergings( V8 == V3, V5 == V6, V6 == V7, V7 == V14; #1396 ), references = 1, size of lhs = 18:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), element-{F}(V5,V0), P_symmetric_difference-{F}(V4,V5,V6), element-{F}(V7,V0), P_symmetric_difference-{F}(V6,V7,V8), P_empty_set-{F}(V9), pppp0-{F}(V10), V10 == V9, P_set_union2-{F}(V10,V10,V10), P_powerset-{F}(V10,V0), in-{F}(V11,V8), P_set_difference-{F}(V11,V12,V10), in-{F}(V12,V3), P_set_union2-{F}(V11,V12,V13) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1412: mergings( V8 == V3, V5 == V6, V6 == V7, V7 == V14; #1397 ), references = 1, size of lhs = 19:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), element-{F}(V5,V0), P_symmetric_difference-{F}(V4,V5,V6), element-{F}(V7,V0), P_symmetric_difference-{F}(V6,V7,V8), P_empty_set-{F}(V9), pppp0-{F}(V10), V10 == V9, P_powerset-{F}(V10,V0), in-{F}(V11,V8), P_set_difference-{F}(V11,V12,V10), in-{F}(V12,V3), P_set_union2-{F}(V11,V12,V13), in-{F}(V14,V10), P_symmetric_difference-{F}(V10,V14,V10) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1421: mergings( V2 == V3, V3 == V4; #1418 ), references = 1, size of lhs = 6:
% 163.71/163.97 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0 | pppp1-{T}(V4,V0)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1506: mergings( V3 == V8; #1502 ), references = 2, size of lhs = 19:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_union2-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V4,V3,V5), P_empty_set-{F}(V6), pppp0-{F}(V7), V7 == V6, P_powerset-{F}(V7,V0), in-{F}(V8,V7), in-{F}(V9,V7), in-{F}(V10,V7), in-{F}(V11,V5), P_set_union2-{F}(V8,V11,V12), P_set_difference-{F}(V8,V11,V13), P_set_union2-{F}(V9,V12,V14), P_set_union2-{F}(V10,V14,V7), P_set_difference-{F}(V10,V14,V15) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1508: mergings( V3 == V10; #1503 ), references = 1, size of lhs = 26:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_union2-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), element-{F}(V6,V0), P_symmetric_difference-{F}(V3,V6,V7), P_empty_set-{F}(V8), pppp0-{F}(V9), V9 == V8, P_powerset-{F}(V9,V0), in-{F}(V10,V9), in-{F}(V11,V9), in-{F}(V12,V9), in-{F}(V13,V7), in-{F}(V14,V5), P_set_union2-{F}(V10,V14,V15), P_set_difference-{F}(V10,V14,V16), P_set_union2-{F}(V14,V11,V17), P_set_difference-{F}(V14,V11,V18), P_set_union2-{F}(V18,V13,V19), P_set_difference-{F}(V18,V13,V20), P_set_union2-{F}(V15,V19,V21), P_set_union2-{F}(V12,V21,V9), P_set_difference-{F}(V12,V21,V22) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1510: mergings( V3 == V12; #1504 ), references = 2, size of lhs = 29:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_union2-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), element-{F}(V6,V0), element-{F}(V7,V0), P_symmetric_difference-{F}(V6,V7,V8), element-{F}(V9,V0), P_empty_set-{F}(V10), pppp0-{F}(V11), V11 == V10, P_powerset-{F}(V11,V0), in-{F}(V12,V11), in-{F}(V13,V11), in-{F}(V14,V8), P_set_union2-{F}(V12,V14,V15), P_set_difference-{F}(V12,V14,V16), P_symmetric_difference-{F}(V5,V9,V17), in-{F}(V18,V17), in-{F}(V19,V5), P_set_union2-{F}(V14,V19,V20), P_set_difference-{F}(V14,V19,V21), P_set_union2-{F}(V21,V18,V22), P_set_difference-{F}(V21,V18,V23), P_set_union2-{F}(V15,V22,V24), P_set_union2-{F}(V13,V24,V11), P_set_difference-{F}(V13,V24,V25) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1539: mergings( V3 == V8; #1535 ), references = 2, size of lhs = 15:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), P_empty_set-{F}(V6), pppp0-{F}(V7), V7 == V6, P_powerset-{F}(V7,V0), in-{F}(V8,V7), in-{F}(V7,V9), P_set_difference-{F}(V10,V8,V9), in-{F}(V10,V5), P_set_union2-{F}(V10,V8,V11) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1541: mergings( V3 == V8; #1536 ), references = 2, size of lhs = 16:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), P_empty_set-{F}(V6), pppp0-{F}(V7), V7 == V6, P_powerset-{F}(V7,V0), in-{F}(V8,V7), in-{F}(V7,V9), in-{F}(V10,V5), P_set_union2-{F}(V10,V8,V11), P_set_difference-{F}(V10,V8,V12), P_set_union2-{F}(V12,V12,V9) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1543: mergings( V3 == V8; #1537 ), references = 3, size of lhs = 17:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V4,V3,V5), P_empty_set-{F}(V6), pppp0-{F}(V7), V7 == V6, P_powerset-{F}(V7,V0), in-{F}(V8,V7), in-{F}(V9,V7), in-{F}(V7,V10), in-{F}(V11,V5), P_set_union2-{F}(V11,V8,V12), P_set_difference-{F}(V11,V8,V13), P_symmetric_difference-{F}(V9,V13,V10) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1567: mergings( V3 == V14; #1565 ), references = 2, size of lhs = 31:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_set_union2-{F}(V3,V4,V5), element-{F}(V6,V0), P_symmetric_difference-{F}(V5,V6,V7), element-{F}(V8,V0), element-{F}(V9,V0), P_symmetric_difference-{F}(V8,V9,V10), element-{F}(V11,V0), P_empty_set-{F}(V12), pppp0-{F}(V13), V13 == V12, P_powerset-{F}(V13,V0), in-{F}(V14,V13), in-{F}(V15,V13), in-{F}(V16,V10), P_set_union2-{F}(V14,V16,V17), P_set_difference-{F}(V14,V16,V18), P_symmetric_difference-{F}(V7,V11,V19), in-{F}(V20,V19), in-{F}(V21,V7), P_set_union2-{F}(V16,V21,V22), P_set_difference-{F}(V16,V21,V23), P_set_union2-{F}(V23,V20,V24), P_set_difference-{F}(V23,V20,V25), P_set_union2-{F}(V17,V24,V26), P_set_union2-{F}(V15,V26,V13), P_set_difference-{F}(V15,V26,V27) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1574: mergings( V3 == V4, V4 == V11; #1571 ), references = 1, size of lhs = 32:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), element-{F}(V3,V0), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), element-{F}(V6,V0), P_empty_set-{F}(V7), pppp0-{F}(V8), V8 == V7, P_powerset-{F}(V8,V0), in-{F}(V9,V8), in-{F}(V10,V8), in-{F}(V11,V5), P_set_union2-{F}(V9,V11,V12), P_set_difference-{F}(V9,V11,V13), element-{F}(V14,V0), P_set_intersection2-{F}(V1,V15,V14), P_set_difference-{F}(V15,V1,V16), element-{F}(V16,V0), P_symmetric_difference-{F}(V15,V1,V17), P_symmetric_difference-{F}(V17,V2,V18), P_symmetric_difference-{F}(V18,V6,V19), in-{F}(V20,V19), in-{F}(V21,V18), P_set_union2-{F}(V11,V21,V22), P_set_difference-{F}(V11,V21,V23), P_set_union2-{F}(V23,V20,V24), P_set_union2-{F}(V12,V24,V25), P_set_union2-{F}(V10,V25,V8), P_set_difference-{F}(V10,V25,V26), P_set_difference-{F}(V23,V20,V27) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1646: mergings( V3 == V4, V4 == V5, V5 == V6; #1640 ), references = 1, size of lhs = 11:
% 163.71/163.97 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), in-{F}(V3,V1), in-{F}(V1,V4), in-{F}(V5,V1), P_set_intersection2-{F}(V5,V2,V6), P_set_union2-{F}(V5,V2,V7), P_symmetric_difference-{F}(V3,V7,V4), P_symmetric_difference-{F}(V8,V9,V5), P_set_union2-{F}(V8,V9,V6) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1650: mergings( V3 == V4, V4 == V5, V5 == V13; #1641 ), references = 1, size of lhs = 23:
% 163.71/163.97 pppp0-{F}(V0), in-{F}(V1,V0), pppp15-{F}(V2), element-{F}(V3,V2), element-{F}(V4,V2), P_symmetric_difference-{F}(V3,V4,V5), element-{F}(V6,V2), P_symmetric_difference-{F}(V6,V5,V0), P_empty_set-{F}(V7), pppp0-{F}(V8), V8 == V7, P_powerset-{F}(V8,V2), in-{F}(V9,V8), in-{F}(V10,V8), in-{F}(V8,V11), in-{F}(V12,V0), P_set_intersection2-{F}(V12,V1,V13), P_set_union2-{F}(V12,V1,V14), P_set_union2-{F}(V14,V9,V15), P_set_difference-{F}(V14,V9,V16), P_symmetric_difference-{F}(V10,V16,V11), P_symmetric_difference-{F}(V17,V18,V12), P_set_union2-{F}(V17,V18,V13) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1654: mergings( V3 == V4, V4 == V5, V5 == V11; #1642 ), references = 1, size of lhs = 21:
% 163.71/163.97 pppp0-{F}(V0), in-{F}(V1,V0), pppp15-{F}(V2), element-{F}(V3,V2), element-{F}(V4,V2), P_symmetric_difference-{F}(V3,V4,V0), P_empty_set-{F}(V5), pppp0-{F}(V6), V6 == V5, P_powerset-{F}(V6,V2), in-{F}(V7,V6), in-{F}(V8,V6), in-{F}(V6,V9), in-{F}(V10,V0), P_set_intersection2-{F}(V10,V1,V11), P_set_union2-{F}(V10,V1,V12), P_set_union2-{F}(V12,V7,V13), P_set_difference-{F}(V12,V7,V14), P_symmetric_difference-{F}(V8,V14,V9), P_symmetric_difference-{F}(V15,V16,V10), P_set_union2-{F}(V15,V16,V11) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1688: mergings( V3 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V14; #1679 ), references = 2, size of lhs = 25:
% 163.71/163.97 pppp0-{F}(V0), in-{F}(V1,V0), pppp15-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V0), element-{F}(V4,V2), P_empty_set-{F}(V5), pppp0-{F}(V6), V6 == V5, P_powerset-{F}(V6,V2), in-{F}(V7,V6), in-{F}(V8,V6), in-{F}(V6,V9), in-{F}(V10,V0), P_set_intersection2-{F}(V10,V1,V11), P_set_union2-{F}(V10,V1,V12), in-{F}(V13,V12), in-{F}(V14,V13), P_symmetric_difference-{F}(V4,V14,V15), in-{F}(V16,V15), P_set_union2-{F}(V7,V16,V17), P_set_union2-{F}(V8,V17,V9), P_set_difference-{F}(V7,V16,V18), P_symmetric_difference-{F}(V19,V20,V10), P_set_union2-{F}(V19,V20,V11) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1695: mergings( V3 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V14; #1680 ), references = 2, size of lhs = 27:
% 163.71/163.97 pppp0-{F}(V0), in-{F}(V1,V0), pppp15-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V0), element-{F}(V4,V2), P_empty_set-{F}(V5), pppp0-{F}(V6), V6 == V5, P_powerset-{F}(V6,V2), in-{F}(V7,V6), in-{F}(V8,V6), in-{F}(V9,V6), in-{F}(V10,V0), P_set_intersection2-{F}(V10,V1,V11), P_set_union2-{F}(V10,V1,V12), in-{F}(V13,V12), in-{F}(V14,V13), P_symmetric_difference-{F}(V4,V14,V15), in-{F}(V16,V15), P_set_union2-{F}(V7,V16,V17), P_set_difference-{F}(V7,V16,V18), P_set_union2-{F}(V8,V17,V19), P_set_union2-{F}(V9,V19,V6), P_set_difference-{F}(V9,V19,V20), P_symmetric_difference-{F}(V21,V22,V10), P_set_union2-{F}(V21,V22,V11) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1702: mergings( V3 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V16; #1681 ), references = 2, size of lhs = 29:
% 163.71/163.97 pppp0-{F}(V0), in-{F}(V1,V0), pppp15-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V0), element-{F}(V4,V2), element-{F}(V5,V2), P_set_union2-{F}(V4,V5,V6), P_empty_set-{F}(V7), pppp0-{F}(V8), V8 == V7, P_powerset-{F}(V8,V2), in-{F}(V9,V8), in-{F}(V10,V8), in-{F}(V11,V8), in-{F}(V12,V0), P_set_intersection2-{F}(V12,V1,V13), P_set_union2-{F}(V12,V1,V14), in-{F}(V15,V14), in-{F}(V16,V15), P_symmetric_difference-{F}(V16,V6,V17), in-{F}(V18,V17), P_set_union2-{F}(V9,V18,V19), P_set_difference-{F}(V9,V18,V20), P_set_union2-{F}(V10,V19,V21), P_set_union2-{F}(V11,V21,V8), P_set_difference-{F}(V11,V21,V22), P_symmetric_difference-{F}(V23,V24,V12), P_set_union2-{F}(V23,V24,V13) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1721: mergings( V3 == V9; #1717 ), references = 1, size of lhs = 27:
% 163.71/163.97 pppp0-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V0), P_set_union2-{F}(V2,V1,V3), pppp15-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V0), element-{F}(V6,V4), P_empty_set-{F}(V7), pppp0-{F}(V8), V8 == V7, P_powerset-{F}(V8,V4), in-{F}(V9,V8), in-{F}(V10,V8), in-{F}(V8,V11), in-{F}(V12,V0), P_set_intersection2-{F}(V12,V3,V13), P_set_union2-{F}(V12,V3,V14), in-{F}(V15,V14), in-{F}(V16,V15), P_symmetric_difference-{F}(V6,V16,V17), in-{F}(V18,V17), P_set_union2-{F}(V9,V18,V19), P_set_union2-{F}(V10,V19,V11), P_set_difference-{F}(V9,V18,V20), P_symmetric_difference-{F}(V21,V22,V12), P_set_union2-{F}(V21,V22,V13) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1723: mergings( V3 == V9; #1718 ), references = 1, size of lhs = 29:
% 163.71/163.97 pppp0-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V0), P_set_union2-{F}(V2,V1,V3), pppp15-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V0), element-{F}(V6,V4), P_empty_set-{F}(V7), pppp0-{F}(V8), V8 == V7, P_powerset-{F}(V8,V4), in-{F}(V9,V8), in-{F}(V10,V8), in-{F}(V11,V8), in-{F}(V12,V0), P_set_intersection2-{F}(V12,V3,V13), P_set_union2-{F}(V12,V3,V14), in-{F}(V15,V14), in-{F}(V16,V15), P_symmetric_difference-{F}(V6,V16,V17), in-{F}(V18,V17), P_set_union2-{F}(V9,V18,V19), P_set_difference-{F}(V9,V18,V20), P_set_union2-{F}(V10,V19,V21), P_set_union2-{F}(V11,V21,V8), P_set_difference-{F}(V11,V21,V22), P_symmetric_difference-{F}(V23,V24,V12), P_set_union2-{F}(V23,V24,V13) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1725: mergings( V3 == V11; #1719 ), references = 1, size of lhs = 31:
% 163.71/163.97 pppp0-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V0), P_set_union2-{F}(V2,V1,V3), pppp15-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V0), element-{F}(V6,V4), element-{F}(V7,V4), P_set_union2-{F}(V6,V7,V8), P_empty_set-{F}(V9), pppp0-{F}(V10), V10 == V9, P_powerset-{F}(V10,V4), in-{F}(V11,V10), in-{F}(V12,V10), in-{F}(V13,V10), in-{F}(V14,V0), P_set_intersection2-{F}(V14,V3,V15), P_set_union2-{F}(V14,V3,V16), in-{F}(V17,V16), in-{F}(V18,V17), P_symmetric_difference-{F}(V18,V8,V19), in-{F}(V20,V19), P_set_union2-{F}(V11,V20,V21), P_set_difference-{F}(V11,V20,V22), P_set_union2-{F}(V12,V21,V23), P_set_union2-{F}(V13,V23,V10), P_set_difference-{F}(V13,V23,V24), P_symmetric_difference-{F}(V25,V26,V14), P_set_union2-{F}(V25,V26,V15) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1817: mergings( V3 == V4, V4 == V8; #1812 ), references = 1, size of lhs = 19:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_empty_set-{F}(V3), pppp0-{F}(V4), V4 == V3, P_powerset-{F}(V4,V0), in-{F}(V5,V4), in-{F}(V4,V6), P_set_difference-{F}(V7,V5,V6), in-{F}(V7,V8), P_set_union2-{F}(V7,V5,V9), element-{F}(V10,V0), element-{F}(V11,V0), P_set_union2-{F}(V10,V11,V12), P_symmetric_difference-{F}(V12,V1,V13), P_symmetric_difference-{F}(V13,V2,V8), P_symmetric_difference-{F}(V14,V15,V10), P_set_union2-{F}(V14,V15,V11) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1820: mergings( V3 == V4, V4 == V8; #1813 ), references = 1, size of lhs = 20:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_empty_set-{F}(V3), pppp0-{F}(V4), V4 == V3, P_powerset-{F}(V4,V0), in-{F}(V5,V4), in-{F}(V4,V6), element-{F}(V7,V0), element-{F}(V8,V0), P_set_union2-{F}(V7,V8,V9), P_symmetric_difference-{F}(V9,V1,V10), P_symmetric_difference-{F}(V10,V2,V11), in-{F}(V12,V11), P_set_union2-{F}(V12,V5,V13), P_set_difference-{F}(V12,V5,V14), P_set_union2-{F}(V14,V14,V6), P_symmetric_difference-{F}(V15,V16,V7), P_set_union2-{F}(V15,V16,V8) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1823: mergings( V3 == V4, V4 == V8; #1814 ), references = 1, size of lhs = 21:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_empty_set-{F}(V3), pppp0-{F}(V4), V4 == V3, P_powerset-{F}(V4,V0), in-{F}(V5,V4), in-{F}(V6,V4), in-{F}(V4,V7), element-{F}(V8,V0), element-{F}(V9,V0), P_set_union2-{F}(V8,V9,V10), P_symmetric_difference-{F}(V10,V1,V11), P_symmetric_difference-{F}(V2,V11,V12), in-{F}(V13,V12), P_set_union2-{F}(V13,V5,V14), P_set_difference-{F}(V13,V5,V15), P_symmetric_difference-{F}(V6,V15,V7), P_symmetric_difference-{F}(V16,V17,V8), P_set_union2-{F}(V16,V17,V9) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1867: exists( #102, #1567 ), references = 1, size of lhs = 30:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_set_union2-{F}(V3,V4,V5), element-{F}(V6,V0), P_symmetric_difference-{F}(V5,V6,V7), element-{F}(V8,V0), element-{F}(V9,V0), P_symmetric_difference-{F}(V8,V9,V10), element-{F}(V11,V0), P_empty_set-{F}(V12), pppp0-{F}(V13), V13 == V12, P_powerset-{F}(V13,V0), in-{F}(V14,V13), in-{F}(V15,V13), in-{F}(V16,V10), P_set_union2-{F}(V14,V16,V17), P_set_difference-{F}(V14,V16,V18), P_symmetric_difference-{F}(V7,V11,V19), in-{F}(V20,V19), in-{F}(V21,V7), P_set_union2-{F}(V16,V21,V22), P_set_difference-{F}(V16,V21,V23), P_set_union2-{F}(V23,V20,V24), P_set_union2-{F}(V17,V24,V25), P_set_union2-{F}(V15,V25,V13), P_set_difference-{F}(V15,V25,V26) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1872: mergings( V0 == V14; #1868 ), references = 1, size of lhs = 29:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_set_union2-{F}(V3,V4,V5), element-{F}(V6,V0), P_symmetric_difference-{F}(V5,V6,V7), element-{F}(V8,V0), element-{F}(V9,V0), P_symmetric_difference-{F}(V8,V9,V10), element-{F}(V11,V0), P_empty_set-{F}(V12), in-{F}(V13,V10), P_symmetric_difference-{F}(V7,V11,V14), in-{F}(V15,V14), in-{F}(V16,V7), P_set_union2-{F}(V13,V16,V17), P_set_difference-{F}(V13,V16,V18), P_set_union2-{F}(V18,V15,V19), P_powerset-{F}(V20,V0), V20 == V12, in-{F}(V21,V20), in-{F}(V22,V20), P_set_union2-{F}(V21,V13,V23), P_set_difference-{F}(V21,V13,V24), P_set_union2-{F}(V23,V19,V25), P_set_union2-{F}(V22,V25,V20), P_set_difference-{F}(V22,V25,V26) | pppp19-{T}(V20)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1874: mergings( V0 == V14; #1869 ), references = 1, size of lhs = 30:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_set_union2-{F}(V3,V4,V5), element-{F}(V6,V0), P_symmetric_difference-{F}(V5,V6,V7), element-{F}(V8,V0), element-{F}(V9,V0), P_symmetric_difference-{F}(V8,V9,V10), element-{F}(V11,V0), P_empty_set-{F}(V12), in-{F}(V13,V10), P_symmetric_difference-{F}(V7,V11,V14), in-{F}(V15,V14), in-{F}(V16,V7), P_set_union2-{F}(V13,V16,V17), P_set_difference-{F}(V13,V16,V18), P_set_union2-{F}(V18,V15,V19), P_set_difference-{F}(V18,V15,V20), P_powerset-{F}(V21,V0), V21 == V12, in-{F}(V22,V21), in-{F}(V23,V21), P_set_union2-{F}(V22,V13,V24), P_set_difference-{F}(V22,V13,V25), P_set_union2-{F}(V24,V19,V26), P_set_union2-{F}(V23,V26,V21), P_set_difference-{F}(V23,V26,V27) | pppp19-{T}(V21)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1876: mergings( V0 == V10; #1870 ), references = 1, size of lhs = 15:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), element-{F}(V6,V0), P_symmetric_difference-{F}(V5,V6,V7), P_empty_set-{F}(V8), in-{F}(V9,V7), P_powerset-{F}(V10,V0), V10 == V8, in-{F}(V11,V10), P_set_difference-{F}(V9,V11,V10), P_set_union2-{F}(V9,V11,V12) | pppp19-{T}(V10)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1907: exists( #99, #1905 ), references = 2, size of lhs = 8:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), in-{F}(V4,V0), pppp13-{F}(V0,V5,V6), P_set_union2-{F}(V5,V6,V4), P_set_difference-{F}(V5,V6,V3) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #1911: exists( #102, #1909 ), references = 2, size of lhs = 8:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), P_set_intersection2-{F}(V2,V3,V4), element-{F}(V4,V1), P_set_union2-{F}(V2,V3,V5), in-{F}(V5,V1) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2021: exists( #102, #2019 ), references = 1, size of lhs = 10:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_set_intersection2-{F}(V2,V4,V3), P_set_union2-{F}(V2,V3,V5), in-{F}(V6,V1), pppp13-{F}(V1,V7,V8), P_set_union2-{F}(V7,V8,V6), P_set_difference-{F}(V7,V8,V5) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2062: mergings( V3 == V4; #2059 ), references = 1, size of lhs = 10:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), element-{F}(V5,V1), pppp13-{F}(V1,V5,V6), P_set_intersection2-{F}(V5,V6,V4), P_set_union2-{F}(V5,V6,V7), in-{F}(V7,V1) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2063: exists( #99, #2058 ), references = 1, size of lhs = 11:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), element-{F}(V5,V1), P_symmetric_difference-{F}(V4,V5,V6), in-{F}(V7,V1), pppp13-{F}(V1,V8,V9), P_set_union2-{F}(V8,V9,V7), P_set_difference-{F}(V8,V9,V6) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2072: mergings( V3 == V4, V4 == V5; #2068 ), references = 1, size of lhs = 12:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), P_set_intersection2-{F}(V2,V3,V4), P_set_union2-{F}(V2,V3,V5), in-{F}(V5,V1), element-{F}(V6,V1), element-{F}(V7,V1), P_set_intersection2-{F}(V8,V9,V4), P_symmetric_difference-{F}(V8,V9,V7), P_set_union2-{F}(V8,V9,V6) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2077: mergings( V3 == V4, V4 == V5; #2074 ), references = 2, size of lhs = 10:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), P_set_union2-{F}(V2,V3,V4), in-{F}(V4,V1), P_symmetric_difference-{F}(V3,V2,V5), element-{F}(V5,V1), P_set_union2-{F}(V3,V2,V6), element-{F}(V6,V1) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2090: mergings( V7 == V8, V3 == V4, V4 == V5; #2086 ), references = 2, size of lhs = 8:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V1,V2), element-{F}(V3,V1), pppp13-{F}(V1,V3,V4), element-{F}(V4,V1), P_symmetric_difference-{F}(V4,V3,V5) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2096: mergings( V3 == V4, V4 == V5, V5 == V6; #2092 ), references = 1, size of lhs = 8:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V1,V2), element-{F}(V3,V1), pppp13-{F}(V1,V3,V4), element-{F}(V4,V1), P_set_intersection2-{F}(V3,V5,V4) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2109: exists( #101, #2090 ), references = 2, size of lhs = 7:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V1,V2), element-{F}(V3,V1), pppp13-{F}(V1,V3,V4), element-{F}(V4,V1) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2169: mergings( V0 == V8; #2165 ), references = 1, size of lhs = 13:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), P_empty_set-{F}(V6), in-{F}(V7,V5), P_powerset-{F}(V8,V0), V8 == V6, in-{F}(V9,V8), P_set_difference-{F}(V7,V9,V8), P_set_union2-{F}(V7,V9,V10) | pppp19-{T}(V8)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2171: mergings( V0 == V8; #2166 ), references = 1, size of lhs = 14:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), P_empty_set-{F}(V6), in-{F}(V7,V5), P_set_union2-{F}(V8,V8,V8), V8 == V6, P_powerset-{F}(V8,V0), in-{F}(V9,V8), P_set_difference-{F}(V7,V9,V8), P_set_union2-{F}(V7,V9,V10) | pppp19-{T}(V8)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2173: mergings( V0 == V8; #2167 ), references = 1, size of lhs = 15:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), P_empty_set-{F}(V6), in-{F}(V7,V5), P_powerset-{F}(V8,V0), V8 == V6, in-{F}(V9,V8), P_set_difference-{F}(V7,V9,V8), P_set_union2-{F}(V7,V9,V10), in-{F}(V11,V8), P_symmetric_difference-{F}(V8,V11,V8) | pppp19-{T}(V8)
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2223: mergings( V3 == V4, V7 == V1; #2218 ), references = 1, size of lhs = 7:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V1,V2), element-{F}(V3,V1), pppp13-{F}(V1,V4,V3), P_set_union2-{F}(V4,V3,V5) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2227: mergings( V3 == V9; #2220 ), references = 1, size of lhs = 23:
% 163.71/163.97 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), element-{F}(V3,V0), P_symmetric_difference-{F}(V2,V3,V4), P_empty_set-{F}(V5), pppp0-{F}(V6), V6 == V5, P_powerset-{F}(V6,V0), in-{F}(V7,V6), in-{F}(V8,V6), in-{F}(V9,V4), P_set_union2-{F}(V7,V9,V10), P_set_difference-{F}(V7,V9,V11), P_set_union2-{F}(V8,V12,V6), P_set_difference-{F}(V8,V12,V13), P_set_union2-{F}(V10,V14,V12), P_set_difference-{F}(V9,V15,V14), in-{F}(V15,V16), P_symmetric_difference-{F}(V1,V17,V16), pppp13-{F}(V0,V17,V18), P_set_union2-{F}(V17,V18,V19), P_set_union2-{F}(V9,V15,V20) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2236: mergings( V3 == V4, V7 == V0; #2231 ), references = 1, size of lhs = 6:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V1,V2), element-{F}(V3,V1), pppp13-{F}(V1,V4,V3) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2239: mergings( V3 == V4; #2237 ), references = 1, size of lhs = 6:
% 163.71/163.97 P_empty_set-{F}(V0), pppp15-{F}(V1), pppp14-{F}(V1,V2), element-{F}(V2,V1), P_powerset-{F}(V1,V3), element-{F}(V1,V3) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2245: mergings( V2 == V3, V3 == V4; #2242 ), references = 2, size of lhs = 5:
% 163.71/163.97 pppp19-{F}(V0), pppp15-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V0,V2), element-{F}(V0,V2) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2250: mergings( V2 == V3; #2248 ), references = 2, size of lhs = 4:
% 163.71/163.97 pppp19-{F}(V0), pppp15-{F}(V0), subset-{F}(V0,V0), P_empty_set-{F}(V1) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2258: mergings( V0 == V2, V2 == V3, V3 == V4; #2254 ), references = 1, size of lhs = 1:
% 163.71/163.97 P_empty_set-{F}(V0) | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 #2260: exists( #103, #2254 ), references = 1, size of lhs = 0:
% 163.71/163.97 FALSE | FALSE
% 163.71/163.97 (used 0 times, uses = {})
% 163.71/163.97
% 163.71/163.97 number of learnt formulas = 128
% 163.71/163.97
% 163.71/163.97
% 163.71/163.97 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 163.71/163.97
% 163.71/163.97 randbase = 1
%------------------------------------------------------------------------------