TSTP Solution File: SEU105+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU105+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 56.07s 56.31s
% Output : Refutation 56.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU105+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 18:42:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 56.07/56.31 GeoParameters:
% 56.07/56.31
% 56.07/56.31 tptp_input = 1
% 56.07/56.31 tptp_output = 0
% 56.07/56.31 nonempty = 1
% 56.07/56.31 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.07/56.31 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 56.07/56.31
% 56.07/56.31
% 56.07/56.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.07/56.31 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.07/56.31
% 56.07/56.31 RuleSystem INPUT:
% 56.07/56.31
% 56.07/56.31 Initial Rules:
% 56.07/56.31 #0: input, references = 6, size of lhs = 2:
% 56.07/56.31 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1: input, references = 3, size of lhs = 1:
% 56.07/56.31 empty-{F}(V0) | finite-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #2: input, references = 3, size of lhs = 1:
% 56.07/56.31 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #3: input, references = 3, size of lhs = 1:
% 56.07/56.31 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #4: input, references = 3, size of lhs = 3:
% 56.07/56.31 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #5: input, references = 3, size of lhs = 2:
% 56.07/56.31 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #6: input, references = 4, size of lhs = 3:
% 56.07/56.31 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #7: input, references = 4, size of lhs = 3:
% 56.07/56.31 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #8: input, references = 4, size of lhs = 3:
% 56.07/56.31 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V3), V2 == V3 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #9: input, references = 6, size of lhs = 5:
% 56.07/56.31 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
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #10: input, references = 5, size of lhs = 1:
% 56.07/56.31 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #11: input, references = 6, size of lhs = 1:
% 56.07/56.31 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #12: input, references = 3, size of lhs = 2:
% 56.07/56.31 finite-{F}(V0), P_set_intersection2-{F}(V1,V0,V2) | finite-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #13: input, references = 3, size of lhs = 2:
% 56.07/56.31 finite-{F}(V0), P_set_intersection2-{F}(V0,V1,V2) | finite-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #14: input, references = 3, size of lhs = 2:
% 56.07/56.31 finite-{F}(V0), P_set_difference-{F}(V0,V1,V2) | finite-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #15: input, references = 3, size of lhs = 3:
% 56.07/56.31 finite-{F}(V0), P_symmetric_difference-{F}(V1,V0,V2), finite-{F}(V1) | finite-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #16: input, references = 3, size of lhs = 2:
% 56.07/56.31 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #17: input, references = 3, size of lhs = 1:
% 56.07/56.31 P_empty_set-{F}(V0) | empty-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #18: input, references = 3, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #19: input, references = 6, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #20: input, references = 3, size of lhs = 4:
% 56.07/56.31 P_empty_set-{F}(V0), finite-{F}(V1), P_set_union2-{F}(V2,V1,V3), finite-{F}(V2) | finite-{T}(V3)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #21: input, references = 4, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #22: input, references = 4, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #23: input, references = 3, size of lhs = 1:
% 56.07/56.31 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #24: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp2-{F}(V0) | finite-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #25: input, references = 3, size of lhs = 2:
% 56.07/56.31 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #26: input, references = 3, size of lhs = 1:
% 56.07/56.31 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #27: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp4-{F}(V0) | pppp3-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #28: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp3-{F}(V0) | preboolean-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #29: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp3-{F}(V0) | diff_closed-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #30: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp3-{F}(V0) | cap_closed-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #31: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp3-{F}(V0) | cup_closed-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #32: input, references = 3, size of lhs = 2:
% 56.07/56.31 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #33: input, references = 4, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #34: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp16-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #35: input, references = 3, size of lhs = 2:
% 56.07/56.31 pppp5-{F}(V0,V1), empty-{F}(V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #36: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #37: input, references = 4, size of lhs = 1:
% 56.07/56.31 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #38: input, references = 5, size of lhs = 1:
% 56.07/56.31 pppp6-{F}(V0) | empty-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #39: input, references = 4, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V2,V3)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #40: input, references = 5, size of lhs = 1:
% 56.07/56.31 pppp8-{F}(V0,V1) | pppp7-{T}(V1,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #41: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp7-{F}(V0,V1) | finite-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #42: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp7-{F}(V0,V1) | natural-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #43: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp7-{F}(V0,V1) | ordinal-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #44: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp7-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #45: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp7-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #46: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp7-{F}(V0,V1) | one_to_one-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #47: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp7-{F}(V0,V1) | function-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #48: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp7-{F}(V0,V1) | relation-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #49: input, references = 5, size of lhs = 1:
% 56.07/56.31 pppp7-{F}(V0,V1) | empty-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #50: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #51: input, references = 4, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V3,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #52: input, references = 5, size of lhs = 1:
% 56.07/56.31 pppp9-{F}(V0,V1) | empty-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #53: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #54: input, references = 3, size of lhs = 1:
% 56.07/56.31 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #55: input, references = 3, size of lhs = 2:
% 56.07/56.31 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #56: input, references = 4, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp17-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #57: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp17-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #58: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp11-{F}(V0,V1) | finite-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #59: input, references = 3, size of lhs = 2:
% 56.07/56.31 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #60: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #61: input, references = 4, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp18-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #62: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp18-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #63: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp12-{F}(V0,V1) | finite-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #64: input, references = 3, size of lhs = 2:
% 56.07/56.31 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #65: input, references = 3, size of lhs = 1:
% 56.07/56.31 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #66: input, references = 3, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #67: input, references = 5, size of lhs = 5:
% 56.07/56.31 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
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #68: input, references = 3, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), preboolean-{F}(V1) | pppp0-{T}(V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #69: input, references = 4, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), pppp0-{F}(V1) | preboolean-{T}(V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #70: input, references = 4, size of lhs = 6:
% 56.07/56.31 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)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #71: input, references = 4, size of lhs = 6:
% 56.07/56.31 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)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #72: input, references = 8, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V1), pppp19-{T}(V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #73: input, references = 6, size of lhs = 1:
% 56.07/56.31 pppp19-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #74: input, references = 5, size of lhs = 1:
% 56.07/56.31 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #75: input, references = 8, size of lhs = 1:
% 56.07/56.31 pppp14-{F}(V0,V1) | in-{T}(V1,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #76: input, references = 6, size of lhs = 5:
% 56.07/56.31 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
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #77: input, references = 10, size of lhs = 3:
% 56.07/56.31 pppp13-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V1,V2,V4) | in-{T}(V1,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #78: input, references = 4, size of lhs = 1:
% 56.07/56.31 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #79: input, references = 4, size of lhs = 2:
% 56.07/56.31 pppp15-{F}(V0), preboolean-{F}(V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #80: input, references = 13, size of lhs = 5:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), P_symmetric_difference-{F}(V1,V2,V3), P_set_intersection2-{F}(V1,V2,V4), element-{F}(V2,V0) | in-{T}(V4,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #81: input, references = 19, size of lhs = 5:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), P_symmetric_difference-{F}(V1,V2,V3), P_set_intersection2-{F}(V1,V2,V4), element-{F}(V2,V0) | in-{T}(V3,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #82: input, references = 3, size of lhs = 2:
% 56.07/56.31 pppp15-{F}(V0), empty-{F}(V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #83: input, references = 4, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #84: input, references = 29, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #85: input, references = 4, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #86: input, references = 5, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #87: input, references = 3, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #88: input, references = 3, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #89: input, references = 3, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #90: input, references = 3, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_set_difference-{F}(V0,V1,V2), V2 == V0 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #91: input, references = 13, size of lhs = 4:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #92: input, references = 4, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_symmetric_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #93: input, references = 6, size of lhs = 5:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #94: input, references = 8, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #95: input, references = 4, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #96: input, references = 8, size of lhs = 4:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #97: input, references = 5, size of lhs = 6:
% 56.07/56.31 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), P_symmetric_difference-{F}(V1,V2,V4), P_set_intersection2-{F}(V1,V2,V5), P_symmetric_difference-{F}(V4,V5,V6), V3 == V6 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #98: input, references = 3, size of lhs = 1:
% 56.07/56.31 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #99: input, references = 10, size of lhs = 2:
% 56.07/56.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #100: input, references = 15, size of lhs = 2:
% 56.07/56.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #101: input, references = 13, size of lhs = 2:
% 56.07/56.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_symmetric_difference-{T}(V0,V1,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #102: input, references = 9, size of lhs = 2:
% 56.07/56.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #103: input, references = 4, size of lhs = 0:
% 56.07/56.31 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 number of initial rules = 104
% 56.07/56.31
% 56.07/56.31 Simplifiers:
% 56.07/56.31 #104: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #105: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #106: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #107: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #108: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #109: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #110: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #111: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #112: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #113: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #114: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #115: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #116: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #117: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #118: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #119: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #120: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #121: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #122: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #123: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #124: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #125: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #126: unsound, references = 3, size of lhs = 3:
% 56.07/56.31 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 number of simplifiers = 23
% 56.07/56.31
% 56.07/56.31 Learnt:
% 56.07/56.31 #128: exists( #99, #21 ), references = 1, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #130: exists( #100, #22 ), references = 2, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #137: mergings( V0 == V2; #134 ), references = 1, size of lhs = 1:
% 56.07/56.31 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #139: mergings( V0 == V2; #135 ), references = 1, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #141: exists( #102, #67 ), references = 9, size of lhs = 3:
% 56.07/56.31 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)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #144: exists( #99, #83 ), references = 3, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #147: exists( #100, #85 ), references = 2, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #151: exists( #99, #6 ), references = 4, size of lhs = 1:
% 56.07/56.31 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #154: exists( #100, #7 ), references = 13, size of lhs = 1:
% 56.07/56.31 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #156: exists( #101, #92 ), references = 3, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), #-{F} V1 | P_symmetric_difference-{T}(V1,V0,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #160: exists( #101, #8 ), references = 27, size of lhs = 1:
% 56.07/56.31 P_symmetric_difference-{F}(V0,V1,V2) | P_symmetric_difference-{T}(V1,V0,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #161: exists( #101, #9 ), references = 1, size of lhs = 3:
% 56.07/56.31 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)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #171: mergings( V0 == V4; #168 ), references = 1, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp9-{T}(V0,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #173: mergings( V0 == V4; #169 ), references = 1, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp9-{T}(V1,V3)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #177: mergings( V0 == V3; #175 ), references = 3, size of lhs = 5:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #185: mergings( V0 == V3; #181 ), references = 2, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #188: mergings( V0 == V3, V2 == V3; #182 ), references = 1, size of lhs = 4:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #190: mergings( V2 == V0; #183 ), references = 1, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), pppp3-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #209: exists( #101, #207 ), references = 11, size of lhs = 4:
% 56.07/56.31 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), P_symmetric_difference-{F}(V1,V2,V4), P_set_intersection2-{F}(V1,V2,V5) | P_symmetric_difference-{T}(V5,V4,V3)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #221: mergings( V0 == V3; #217 ), references = 1, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #224: mergings( V0 == V3, V1 == V3; #218 ), references = 1, size of lhs = 4:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #227: mergings( V0 == V3, V1 == V3; #219 ), references = 1, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #241: mergings( V0 == V3; #237 ), references = 1, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp17-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #244: mergings( V0 == V3, V1 == V3; #238 ), references = 1, size of lhs = 4:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp17-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #247: mergings( V0 == V3, V1 == V3; #239 ), references = 1, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp17-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #266: mergings( V0 == V3; #262 ), references = 1, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp18-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #269: mergings( V0 == V3, V1 == V3; #263 ), references = 1, size of lhs = 4:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #272: mergings( V0 == V3, V1 == V3; #264 ), references = 1, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #302: mergings( V0 == V2; #300 ), references = 1, size of lhs = 5:
% 56.07/56.31 P_empty_set-{F}(V0), in-{F}(V1,V2), P_set_difference-{F}(V3,V1,V2), in-{F}(V3,V2), P_set_union2-{F}(V3,V1,V4) | pppp19-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #311: mergings( V0 == V2; #309 ), references = 2, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1) | pppp19-{T}(V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #352: mergings( V0 == V4; #349 ), references = 1, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V2,V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #354: mergings( V0 == V4; #350 ), references = 1, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp8-{T}(V3,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #369: exists( #99, #9 ), references = 4, size of lhs = 3:
% 56.07/56.31 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)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #384: exists( #101, #382 ), references = 7, size of lhs = 3:
% 56.07/56.31 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)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #397: exists( #73, #392 ), references = 1, size of lhs = 3:
% 56.07/56.31 pppp19-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #398: exists( #73, #393 ), references = 2, size of lhs = 5:
% 56.07/56.31 pppp19-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), element-{F}(V0,V3) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #402: mergings( V0 == V2; #399 ), references = 1, size of lhs = 2:
% 56.07/56.31 empty-{F}(V0), P_empty_set-{F}(V1) | pppp0-{T}(V0)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #404: mergings( V0 == V2; #400 ), references = 1, size of lhs = 4:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2) | pppp0-{T}(V3)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #491: mergings( V1 == V3; #489 ), references = 2, size of lhs = 2:
% 56.07/56.31 P_empty_set-{F}(V0), pppp14-{F}(V1,V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #510: mergings( V0 == V2; #508 ), references = 1, size of lhs = 5:
% 56.07/56.31 P_empty_set-{F}(V0), in-{F}(V1,V2), P_set_union2-{F}(V3,V1,V2), in-{F}(V3,V2), P_set_difference-{F}(V3,V1,V4) | pppp19-{T}(V2)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #569: exists( #102, #567 ), references = 1, size of lhs = 3:
% 56.07/56.31 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)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #583: mergings( V2 == V5; #579 ), references = 4, size of lhs = 5:
% 56.07/56.31 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #586: mergings( V2 == V5, V0 == V5; #581 ), references = 1, size of lhs = 6:
% 56.07/56.31 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), V2 == V3 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #598: mergings( V2 == V3, V3 == V7; #593 ), references = 1, size of lhs = 6:
% 56.07/56.31 pppp19-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V0,V3), P_empty_set-{F}(V4) | pppp14-{T}(V0,V4)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #601: mergings( V2 == V3, V3 == V7; #595 ), references = 1, size of lhs = 7:
% 56.07/56.31 pppp19-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V0,V3), P_empty_set-{F}(V4), empty-{F}(V5) | pppp14-{T}(V0,V5)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #607: mergings( V0 == V2, V2 == V3, V3 == V7; #603 ), references = 1, size of lhs = 5:
% 56.07/56.31 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_empty_set-{F}(V4) | pppp0-{T}(V3)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #703: exists( #100, #699 ), references = 3, size of lhs = 8:
% 56.07/56.31 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,V3), P_set_difference-{F}(V5,V6,V4) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #704: exists( #100, #700 ), references = 1, size of lhs = 5:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), in-{F}(V0,V3) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #750: mergings( V6 == V9, V3 == V4; #745 ), references = 2, size of lhs = 8:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), in-{F}(V3,V1), P_set_intersection2-{F}(V4,V2,V5), pppp13-{F}(V1,V4,V6), P_set_intersection2-{F}(V4,V6,V2), P_set_union2-{F}(V4,V6,V3) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #753: mergings( V8 == V11, V3 == V4; #746 ), references = 2, size of lhs = 10:
% 56.07/56.31 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_set_intersection2-{F}(V6,V5,V7), pppp13-{F}(V1,V6,V8), P_set_intersection2-{F}(V6,V8,V5), P_set_union2-{F}(V6,V8,V4) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #757: mergings( V3 == V4, V4 == V5, V5 == V6; #747 ), references = 1, size of lhs = 9:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), in-{F}(V5,V6), pppp13-{F}(V3,V6,V7), P_set_intersection2-{F}(V6,V7,V8), P_set_union2-{F}(V6,V7,V9) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #765: mergings( V3 == V4, V4 == V5, V5 == V6; #761 ), references = 1, size of lhs = 8:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), in-{F}(V5,V6), pppp13-{F}(V3,V6,V7), P_set_union2-{F}(V6,V7,V8) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #771: mergings( V3 == V4, V4 == V5, V5 == V6; #767 ), references = 1, size of lhs = 7:
% 56.07/56.31 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), in-{F}(V5,V6), pppp13-{F}(V3,V6,V7) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #810: mergings( V2 == V3, V3 == V7; #807 ), references = 1, size of lhs = 6:
% 56.07/56.31 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), element-{F}(V4,V2), V4 == V3 | pppp1-{T}(V4,V3)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #859: mergings( V5 == V6, V6 == V7; #854 ), references = 3, size of lhs = 10:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_empty_set-{F}(V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), in-{F}(V7,V3), in-{F}(V8,V7) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #862: mergings( V5 == V6, V6 == V9; #855 ), references = 3, size of lhs = 10:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V0), P_empty_set-{F}(V6), in-{F}(V7,V3), V7 == V6 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #865: mergings( V5 == V6, V6 == V8; #856 ), references = 1, size of lhs = 10:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), pppp19-{F}(V4), in-{F}(V4,V3), P_empty_set-{F}(V5), empty-{F}(V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #888: mergings( V3 == V4, V4 == V7, V7 == V8, V8 == V9; #881 ), references = 2, size of lhs = 13:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_intersection2-{F}(V1,V2,V3), P_empty_set-{F}(V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), P_set_intersection2-{F}(V2,V1,V7), element-{F}(V7,V0), P_set_union2-{F}(V2,V1,V8), in-{F}(V9,V8), in-{F}(V10,V9) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #893: mergings( V3 == V4, V4 == V7, V7 == V8, V8 == V11; #882 ), references = 1, size of lhs = 13:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_intersection2-{F}(V1,V2,V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V0), P_empty_set-{F}(V6), P_set_intersection2-{F}(V2,V1,V7), element-{F}(V7,V0), P_set_union2-{F}(V2,V1,V8), in-{F}(V9,V8), V9 == V6 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #898: mergings( V3 == V4, V4 == V7, V7 == V8, V8 == V11; #883 ), references = 1, size of lhs = 13:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_intersection2-{F}(V1,V2,V3), pppp19-{F}(V4), in-{F}(V4,V5), P_set_union2-{F}(V2,V1,V5), P_empty_set-{F}(V6), empty-{F}(V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V0), P_set_intersection2-{F}(V2,V1,V9), element-{F}(V9,V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #912: mergings( V3 == V8; #908 ), references = 2, size of lhs = 12:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_intersection2-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V4,V3,V5), P_empty_set-{F}(V6), empty-{F}(V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V0), in-{F}(V9,V5), in-{F}(V10,V9) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #914: mergings( V3 == V10; #909 ), references = 1, size of lhs = 12:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_intersection2-{F}(V1,V2,V3), element-{F}(V4,V0), P_symmetric_difference-{F}(V3,V4,V5), empty-{F}(V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V0), P_empty_set-{F}(V8), in-{F}(V9,V5), V9 == V8 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #916: mergings( V3 == V8; #910 ), references = 1, size of lhs = 15:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_intersection2-{F}(V1,V2,V3), element-{F}(V4,V0), P_set_intersection2-{F}(V4,V3,V5), P_empty_set-{F}(V6), empty-{F}(V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V0), P_set_intersection2-{F}(V3,V4,V9), element-{F}(V9,V0), P_set_union2-{F}(V3,V4,V10), in-{F}(V11,V10), in-{F}(V12,V11) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #953: mergings( V4 == V9, V5 == V6, V6 == V7, V7 == V11, V3 == V8; #945 ), references = 1, size of lhs = 14:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_intersection2-{F}(V2,V1,V3), P_set_intersection2-{F}(V1,V2,V3), P_powerset-{F}(V0,V4), element-{F}(V0,V4), P_empty_set-{F}(V5), empty-{F}(V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V0), P_set_union2-{F}(V2,V1,V8), in-{F}(V9,V8), in-{F}(V10,V9) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #959: mergings( V4 == V9, V5 == V6, V6 == V7, V7 == V13, V3 == V8; #946 ), references = 1, size of lhs = 14:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_intersection2-{F}(V2,V1,V3), P_set_intersection2-{F}(V1,V2,V3), P_powerset-{F}(V0,V4), element-{F}(V0,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), P_empty_set-{F}(V7), P_set_union2-{F}(V2,V1,V8), in-{F}(V9,V8), V9 == V7 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #966: mergings( V5 == V10, V3 == V6, V6 == V7, V7 == V8, V8 == V12, V4 == V9; #947 ), references = 1, size of lhs = 14:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_intersection2-{F}(V2,V1,V3), P_set_intersection2-{F}(V1,V2,V3), P_powerset-{F}(V0,V4), element-{F}(V0,V4), P_empty_set-{F}(V5), empty-{F}(V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V0), P_set_union2-{F}(V2,V1,V8), in-{F}(V9,V8), in-{F}(V10,V9) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #977: mergings( V4 == V5, V5 == V6, V6 == V9, V3 == V7; #970 ), references = 2, size of lhs = 12:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_powerset-{F}(V0,V3), element-{F}(V0,V3), P_empty_set-{F}(V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), P_set_union2-{F}(V2,V1,V7), in-{F}(V8,V7), in-{F}(V9,V8) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #982: mergings( V4 == V5, V5 == V6, V6 == V11, V3 == V7; #971 ), references = 2, size of lhs = 12:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_powerset-{F}(V0,V3), element-{F}(V0,V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V0), P_empty_set-{F}(V6), P_set_union2-{F}(V2,V1,V7), in-{F}(V8,V7), V8 == V6 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #988: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V10, V4 == V8; #972 ), references = 1, size of lhs = 12:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_powerset-{F}(V0,V3), element-{F}(V0,V3), P_empty_set-{F}(V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V0), P_set_union2-{F}(V2,V1,V7), in-{F}(V8,V7), in-{F}(V9,V8) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1022: mergings( V3 == V4; #1020 ), references = 1, size of lhs = 3:
% 56.07/56.31 P_empty_set-{F}(V0), P_symmetric_difference-{F}(V1,V2,V0), P_set_union2-{F}(V1,V2,V3) | P_set_intersection2-{T}(V1,V2,V3)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1056: mergings( V3 == V4, V4 == V5, V5 == V7; #1050 ), references = 2, size of lhs = 7:
% 56.07/56.31 empty-{F}(V0), P_empty_set-{F}(V1), P_symmetric_difference-{F}(V2,V3,V0), P_set_intersection2-{F}(V2,V3,V4), P_set_intersection2-{F}(V2,V5,V4), P_set_difference-{F}(V3,V2,V6), V6 == V1 | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1061: mergings( V3 == V4, V4 == V5, V5 == V7, V11 == V7; #1051 ), references = 1, size of lhs = 8:
% 56.07/56.31 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_symmetric_difference-{F}(V3,V4,V0), P_set_difference-{F}(V4,V3,V1), P_set_intersection2-{F}(V3,V4,V5), P_set_intersection2-{F}(V3,V6,V5) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1066: mergings( V3 == V4, V4 == V5, V5 == V7, V10 == V7; #1052 ), references = 1, size of lhs = 9:
% 56.07/56.31 empty-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V1, P_symmetric_difference-{F}(V4,V5,V0), P_set_difference-{F}(V5,V4,V1), P_set_intersection2-{F}(V4,V5,V6), P_set_intersection2-{F}(V4,V7,V6) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1080: exists( #102, #1056 ), references = 1, size of lhs = 5:
% 56.07/56.31 empty-{F}(V0), P_empty_set-{F}(V1), P_symmetric_difference-{F}(V2,V3,V0), P_set_intersection2-{F}(V2,V3,V4), P_set_intersection2-{F}(V2,V5,V4) | P_set_difference-{T}(V3,V2,V1)
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1176: exists( #100, #750 ), references = 1, size of lhs = 7:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), in-{F}(V3,V1), pppp13-{F}(V1,V4,V5), P_set_intersection2-{F}(V4,V5,V2), P_set_union2-{F}(V4,V5,V3) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1177: exists( #100, #753 ), references = 3, size of lhs = 9:
% 56.07/56.31 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,V6,V7), P_set_intersection2-{F}(V6,V7,V5), P_set_union2-{F}(V6,V7,V4) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1187: mergings( V3 == V4; #1184 ), references = 3, size of lhs = 8:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), P_set_union2-{F}(V2,V3,V5), in-{F}(V5,V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1189: mergings( V3 == V4; #1185 ), references = 4, size of lhs = 10:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), element-{F}(V4,V1), P_symmetric_difference-{F}(V3,V4,V5), pppp13-{F}(V1,V2,V6), element-{F}(V6,V1), P_set_union2-{F}(V2,V6,V5), P_symmetric_difference-{F}(V2,V6,V7) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1216: mergings( V7 == V8, V3 == V4, V4 == V5; #1211 ), references = 1, size of lhs = 9:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), element-{F}(V3,V1), P_symmetric_difference-{F}(V3,V2,V4), element-{F}(V4,V1), P_set_union2-{F}(V3,V2,V5), P_set_union2-{F}(V2,V3,V5) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1220: mergings( V7 == V12, V3 == V4, V4 == V5; #1212 ), references = 3, size of lhs = 12:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), element-{F}(V4,V1), pppp13-{F}(V1,V4,V5), element-{F}(V5,V1), P_set_union2-{F}(V4,V5,V6), P_set_union2-{F}(V2,V3,V6), P_symmetric_difference-{F}(V4,V5,V7), P_symmetric_difference-{F}(V2,V3,V8), element-{F}(V8,V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1228: mergings( V7 == V8, V3 == V4, V4 == V5; #1223 ), references = 2, size of lhs = 7:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), element-{F}(V3,V1), P_symmetric_difference-{F}(V3,V2,V4), element-{F}(V4,V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1252: mergings( V3 == V4; #1248 ), references = 1, size of lhs = 8:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), element-{F}(V3,V1), P_set_intersection2-{F}(V2,V4,V3), P_set_union2-{F}(V2,V3,V5), in-{F}(V5,V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1254: mergings( V3 == V4; #1249 ), references = 1, size of lhs = 10:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), element-{F}(V4,V1), P_symmetric_difference-{F}(V3,V4,V5), pppp13-{F}(V1,V2,V6), element-{F}(V6,V1), P_set_union2-{F}(V2,V6,V5), P_set_intersection2-{F}(V2,V7,V6) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1256: mergings( V3 == V4; #1250 ), references = 1, size of lhs = 12:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), element-{F}(V4,V1), pppp13-{F}(V1,V4,V5), element-{F}(V5,V1), P_set_intersection2-{F}(V4,V6,V5), P_set_union2-{F}(V4,V5,V7), P_set_union2-{F}(V2,V3,V7), P_symmetric_difference-{F}(V2,V3,V8), element-{F}(V8,V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1269: exists( #101, #1263 ), references = 1, size of lhs = 7:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), element-{F}(V3,V1), P_set_union2-{F}(V2,V3,V4), in-{F}(V4,V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1270: exists( #101, #1264 ), references = 1, size of lhs = 9:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), element-{F}(V4,V1), P_symmetric_difference-{F}(V3,V4,V5), pppp13-{F}(V1,V2,V6), element-{F}(V6,V1), P_set_union2-{F}(V2,V6,V5) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1271: exists( #101, #1265 ), references = 1, size of lhs = 11:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), element-{F}(V4,V1), pppp13-{F}(V1,V4,V5), element-{F}(V5,V1), P_set_union2-{F}(V4,V5,V6), P_set_union2-{F}(V2,V3,V6), P_symmetric_difference-{F}(V2,V3,V7), element-{F}(V7,V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1300: mergings( V3 == V4; #1296 ), references = 1, size of lhs = 6:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), element-{F}(V3,V1), P_set_intersection2-{F}(V3,V2,V4) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1303: mergings( V3 == V4, V4 == V5; #1297 ), references = 1, size of lhs = 11:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), P_set_union2-{F}(V2,V3,V4), P_set_intersection2-{F}(V2,V3,V5), element-{F}(V5,V1), P_set_union2-{F}(V2,V5,V4), P_set_intersection2-{F}(V5,V2,V6), P_set_intersection2-{F}(V2,V5,V7), element-{F}(V7,V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1306: mergings( V3 == V4, V4 == V5; #1298 ), references = 1, size of lhs = 12:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_set_intersection2-{F}(V2,V3,V4), P_set_intersection2-{F}(V3,V2,V5), element-{F}(V5,V1), P_set_union2-{F}(V3,V2,V6), element-{F}(V7,V1), pppp13-{F}(V1,V8,V9), P_set_intersection2-{F}(V8,V9,V7), P_set_union2-{F}(V8,V9,V6) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1311: mergings( V3 == V4; #1309 ), references = 2, size of lhs = 5:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), element-{F}(V3,V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1349: mergings( V3 == V4, V6 == V1; #1344 ), references = 1, size of lhs = 5:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V3,V2), P_set_union2-{F}(V3,V2,V4) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1351: mergings( V3 == V9; #1345 ), references = 1, size of lhs = 12:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V0,V2), element-{F}(V0,V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V0), P_empty_set-{F}(V5), P_set_union2-{F}(V6,V1,V0), V6 == V5, pppp13-{F}(V0,V6,V7), P_set_union2-{F}(V6,V7,V8) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1353: mergings( V3 == V7; #1346 ), references = 1, size of lhs = 13:
% 56.07/56.31 pppp15-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V0,V2), element-{F}(V0,V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V0), pppp13-{F}(V0,V6,V7), P_set_union2-{F}(V6,V7,V8), P_set_union2-{F}(V6,V1,V9), in-{F}(V10,V9), in-{F}(V11,V10) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1360: mergings( V3 == V4, V6 == V0; #1357 ), references = 1, size of lhs = 4:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V3,V2) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1363: mergings( V3 == V4; #1361 ), references = 2, size of lhs = 4:
% 56.07/56.31 P_empty_set-{F}(V0), pppp15-{F}(V1), pppp14-{F}(V1,V2), element-{F}(V2,V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1369: mergings( V2 == V3; #1367 ), references = 1, size of lhs = 3:
% 56.07/56.31 pppp19-{F}(V0), pppp15-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1375: mergings( V0 == V2, V2 == V3, V3 == V4; #1371 ), references = 1, size of lhs = 1:
% 56.07/56.31 P_empty_set-{F}(V0) | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 #1377: exists( #103, #1371 ), references = 1, size of lhs = 0:
% 56.07/56.31 FALSE | FALSE
% 56.07/56.31 (used 0 times, uses = {})
% 56.07/56.31
% 56.07/56.31 number of learnt formulas = 99
% 56.07/56.31
% 56.07/56.31
% 56.07/56.31 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.07/56.31
% 56.07/56.31 randbase = 1
%------------------------------------------------------------------------------