TSTP Solution File: SEU110+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU110+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:17:12 EDT 2022
% Result : Theorem 104.58s 104.78s
% Output : Refutation 104.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU110+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 : n013.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 19:06:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 104.58/104.78 GeoParameters:
% 104.58/104.78
% 104.58/104.78 tptp_input = 1
% 104.58/104.78 tptp_output = 0
% 104.58/104.78 nonempty = 1
% 104.58/104.78 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 104.58/104.78 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 104.58/104.78
% 104.58/104.78
% 104.58/104.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 104.58/104.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 104.58/104.78
% 104.58/104.78 RuleSystem INPUT:
% 104.58/104.78
% 104.58/104.78 Initial Rules:
% 104.58/104.78 #0: input, references = 10, size of lhs = 2:
% 104.58/104.78 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #1: input, references = 3, size of lhs = 1:
% 104.58/104.78 empty-{F}(V0) | finite-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2: input, references = 3, size of lhs = 1:
% 104.58/104.78 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3: input, references = 3, size of lhs = 1:
% 104.58/104.78 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #4: input, references = 6, size of lhs = 3:
% 104.58/104.78 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #5: input, references = 3, size of lhs = 2:
% 104.58/104.78 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #6: input, references = 4, size of lhs = 2:
% 104.58/104.78 P_finite_subsets-{F}(V1,V2), element-{F}(V0,V2) | finite-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #7: input, references = 8, size of lhs = 1:
% 104.58/104.78 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #8: input, references = 14, size of lhs = 1:
% 104.58/104.78 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #9: input, references = 15, size of lhs = 2:
% 104.58/104.78 pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #10: input, references = 19, size of lhs = 2:
% 104.58/104.78 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp19-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #11: input, references = 8, size of lhs = 1:
% 104.58/104.78 pppp19-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #12: input, references = 10, size of lhs = 2:
% 104.58/104.78 pppp3-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #13: input, references = 8, size of lhs = 1:
% 104.58/104.78 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #14: input, references = 7, size of lhs = 2:
% 104.58/104.78 preboolean-{F}(V2), P_finite_subsets-{F}(V1,V2) | pppp2-{T}(V1,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #15: input, references = 3, size of lhs = 4:
% 104.58/104.78 preboolean-{F}(V0), P_finite_subsets-{F}(V1,V2), pppp2-{F}(V1,V0), V0 == V2 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #16: input, references = 17, size of lhs = 2:
% 104.58/104.78 pppp2-{F}(V0,V1), in-{F}(V2,V1) | pppp1-{T}(V0,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #17: input, references = 16, size of lhs = 2:
% 104.58/104.78 pppp2-{F}(V0,V1), pppp1-{F}(V0,V2) | in-{T}(V2,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #18: input, references = 13, size of lhs = 2:
% 104.58/104.78 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp20-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #19: input, references = 9, size of lhs = 1:
% 104.58/104.78 pppp20-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #20: input, references = 10, size of lhs = 3:
% 104.58/104.78 pppp4-{F}(V0,V1,V2), pppp1-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #21: input, references = 10, size of lhs = 1:
% 104.58/104.78 pppp4-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp1-{T}(V0,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #22: input, references = 12, size of lhs = 1:
% 104.58/104.78 pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #23: input, references = 11, size of lhs = 1:
% 104.58/104.78 pppp1-{F}(V0,V1) | finite-{T}(V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #24: input, references = 15, size of lhs = 2:
% 104.58/104.78 subset-{F}(V1,V0), finite-{F}(V1) | pppp1-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #25: input, references = 7, size of lhs = 1:
% 104.58/104.78 P_finite_subsets-{F}(V0,V1) | preboolean-{T}(V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #26: input, references = 7, size of lhs = 1:
% 104.58/104.78 #-{F} V0 | EXISTS V1: pppp5-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #27: input, references = 8, size of lhs = 1:
% 104.58/104.78 pppp5-{F}(V0,V1) | element-{T}(V1,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #28: input, references = 3, size of lhs = 2:
% 104.58/104.78 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #29: input, references = 3, size of lhs = 1:
% 104.58/104.78 P_powerset-{F}(V0,V1) | cup_closed-{T}(V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #30: input, references = 3, size of lhs = 1:
% 104.58/104.78 P_powerset-{F}(V0,V1) | diff_closed-{T}(V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #31: input, references = 3, size of lhs = 1:
% 104.58/104.78 P_powerset-{F}(V0,V1) | preboolean-{T}(V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #32: input, references = 3, size of lhs = 2:
% 104.58/104.78 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #33: input, references = 3, size of lhs = 1:
% 104.58/104.78 P_empty_set-{F}(V0) | empty-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #34: input, references = 4, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2), empty-{F}(V2) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #35: input, references = 3, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | cup_closed-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #36: input, references = 3, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | diff_closed-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #37: input, references = 3, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | preboolean-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #38: input, references = 3, size of lhs = 1:
% 104.58/104.78 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #39: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp6-{F}(V0) | finite-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #40: input, references = 4, size of lhs = 2:
% 104.58/104.78 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #41: input, references = 3, size of lhs = 1:
% 104.58/104.78 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #42: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp8-{F}(V0) | pppp7-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #43: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp7-{F}(V0) | preboolean-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #44: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp7-{F}(V0) | diff_closed-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #45: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp7-{F}(V0) | cap_closed-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #46: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp7-{F}(V0) | cup_closed-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #47: input, references = 3, size of lhs = 2:
% 104.58/104.78 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #48: input, references = 4, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp21-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #49: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp21-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #50: input, references = 3, size of lhs = 2:
% 104.58/104.78 pppp9-{F}(V0,V1), empty-{F}(V0) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #51: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #52: input, references = 4, size of lhs = 1:
% 104.58/104.78 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #53: input, references = 5, size of lhs = 1:
% 104.58/104.78 pppp10-{F}(V0) | empty-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #54: input, references = 4, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp12-{T}(V2,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #55: input, references = 5, size of lhs = 1:
% 104.58/104.78 pppp12-{F}(V0,V1) | pppp11-{T}(V1,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #56: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp11-{F}(V0,V1) | finite-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #57: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp11-{F}(V0,V1) | natural-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #58: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp11-{F}(V0,V1) | ordinal-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #59: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp11-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #60: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp11-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #61: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp11-{F}(V0,V1) | one_to_one-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #62: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp11-{F}(V0,V1) | function-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #63: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp11-{F}(V0,V1) | relation-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #64: input, references = 5, size of lhs = 1:
% 104.58/104.78 pppp11-{F}(V0,V1) | empty-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #65: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #66: input, references = 4, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp13-{T}(V3,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #67: input, references = 4, size of lhs = 1:
% 104.58/104.78 pppp13-{F}(V0,V1) | empty-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #68: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp13-{F}(V0,V1) | element-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #69: input, references = 3, size of lhs = 1:
% 104.58/104.78 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #70: input, references = 3, size of lhs = 2:
% 104.58/104.78 pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #71: input, references = 4, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp22-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #72: input, references = 4, size of lhs = 1:
% 104.58/104.78 pppp22-{F}(V0) | EXISTS V1: pppp15-{T}(V1,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #73: input, references = 4, size of lhs = 1:
% 104.58/104.78 pppp15-{F}(V0,V1) | finite-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #74: input, references = 3, size of lhs = 2:
% 104.58/104.78 pppp15-{F}(V0,V1), empty-{F}(V0) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #75: input, references = 4, size of lhs = 1:
% 104.58/104.78 pppp15-{F}(V0,V1) | element-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #76: input, references = 4, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp23-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #77: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp23-{F}(V0) | EXISTS V1: pppp16-{T}(V1,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #78: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp16-{F}(V0,V1) | finite-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #79: input, references = 3, size of lhs = 2:
% 104.58/104.78 pppp16-{F}(V0,V1), empty-{F}(V0) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #80: input, references = 3, size of lhs = 1:
% 104.58/104.78 pppp16-{F}(V0,V1) | element-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #81: input, references = 4, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #82: input, references = 14, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #83: input, references = 12, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V3,V1) | subset-{T}(V3,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #84: input, references = 4, size of lhs = 1:
% 104.58/104.78 P_empty_set-{F}(V0) | EXISTS V1: pppp18-{T}(V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #85: input, references = 5, size of lhs = 1:
% 104.58/104.78 pppp18-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #86: input, references = 5, size of lhs = 4:
% 104.58/104.78 pppp17-{F}(V0,V1), P_finite_subsets-{F}(V0,V2), P_finite_subsets-{F}(V1,V3), subset-{F}(V2,V3) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #87: input, references = 10, size of lhs = 3:
% 104.58/104.78 pppp17-{F}(V0,V1), P_finite_subsets-{F}(V0,V2), P_finite_subsets-{F}(V1,V3) | subset-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #88: input, references = 6, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #89: input, references = 8, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #90: input, references = 11, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #91: input, references = 5, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #92: input, references = 5, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #93: input, references = 8, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #94: input, references = 5, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #95: input, references = 6, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #96: input, references = 8, size of lhs = 1:
% 104.58/104.78 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #97: input, references = 16, size of lhs = 1:
% 104.58/104.78 #-{F} V0 | EXISTS V1: P_finite_subsets-{T}(V0,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #98: input, references = 4, size of lhs = 0:
% 104.58/104.78 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 number of initial rules = 99
% 104.58/104.78
% 104.58/104.78 Simplifiers:
% 104.58/104.78 #99: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #100: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #101: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 P_finite_subsets-{F}(V0,V1), P_finite_subsets-{F}(V0,V3), V1 == V3 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #102: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #103: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #104: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #105: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #106: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #107: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #108: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #109: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #110: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #111: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #112: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #113: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #114: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #115: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #116: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #117: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #118: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp17-{F}(V0,V1), pppp17-{F}(V2,V3), V0 == V2 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #119: unsound, references = 3, size of lhs = 3:
% 104.58/104.78 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 number of simplifiers = 21
% 104.58/104.78
% 104.58/104.78 Learnt:
% 104.58/104.78 #127: mergings( V0 == V2; #124 ), references = 1, size of lhs = 1:
% 104.58/104.78 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #129: mergings( V0 == V2; #125 ), references = 1, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #145: disj( #88, #16+#17+#0 ), references = 1, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp2-{F}(V1,V3), element-{F}(V3,V2) | empty-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #147: mergings( V0 == V3; #143 ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1), pppp2-{F}(V2,V3), element-{F}(V4,V3) | empty-{T}(V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #149: mergings( V0 == V3; #144 ), references = 1, size of lhs = 7:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp2-{F}(V4,V3), pppp2-{F}(V4,V5), element-{F}(V6,V5) | empty-{T}(V5)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #157: mergings( V2 == V3; #153 ), references = 1, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), element-{F}(V3,V2), P_finite_subsets-{F}(V4,V2) | pppp20-{T}(V1,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #159: mergings( V2 == V3; #154 ), references = 1, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), V2 == V0, element-{F}(V3,V2) | pppp20-{T}(V1,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #162: mergings( V2 == V3, V5 == V3; #155 ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, pppp2-{F}(V2,V0), element-{F}(V3,V0) | pppp20-{T}(V2,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #175: mergings( V0 == V3; #172 ), references = 3, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #176: disj( #88, input ), references = 1, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), element-{F}(V1,V2), in-{F}(V2,V1) | empty-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #184: disj( #18, input ), references = 7, size of lhs = 3:
% 104.58/104.78 preboolean-{F}(V0), P_finite_subsets-{F}(V1,V2), V0 == V2 | pppp20-{T}(V1,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #195: mergings( V0 == V3; #191 ), references = 5, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #198: mergings( V0 == V3, V2 == V3; #192 ), references = 1, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #201: mergings( V0 == V3, V2 == V3; #193 ), references = 1, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), element-{F}(V1,V0), P_finite_subsets-{F}(V2,V0) | in-{T}(V1,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #208: disj( #10, #9+#0 ), references = 1, size of lhs = 1:
% 104.58/104.78 in-{F}(V0,V1) | pppp19-{T}(V1,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #209: disj( #10, #9+#94 ), references = 1, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp19-{T}(V3,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #210: disj( #10, #9+#92 ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V5) | pppp19-{T}(V5,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #234: mergings( V0 == V3; #230 ), references = 1, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp21-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #237: mergings( V0 == V3, V1 == V3; #231 ), references = 1, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp21-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #240: mergings( V0 == V3, V1 == V3; #232 ), references = 1, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp21-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #264: mergings( V0 == V3; #260 ), references = 1, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp22-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #267: mergings( V0 == V3, V1 == V3; #261 ), references = 1, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp22-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #270: mergings( V0 == V3, V1 == V3; #262 ), references = 1, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp22-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #285: disj( #10, #8+#90+#4+#24+#17+#0 ), references = 5, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), finite-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), subset-{F}(V4,V5), pppp2-{F}(V5,V4) | pppp19-{T}(V4,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #319: mergings( V0 == V4; #316 ), references = 1, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp12-{T}(V2,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #321: mergings( V0 == V4; #317 ), references = 1, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp12-{T}(V3,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #356: mergings( V0 == V4; #354 ), references = 1, size of lhs = 2:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp13-{T}(V0,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #381: mergings( V0 == V3; #377 ), references = 1, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp23-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #384: mergings( V0 == V3, V1 == V3; #378 ), references = 1, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp23-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #387: mergings( V0 == V3, V1 == V3; #379 ), references = 1, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp23-{T}(V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #467: disj( #10, #9+#82+#4+#24+#17+#0 ), references = 1, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), finite-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V3,V4), subset-{F}(V3,V5), pppp2-{F}(V5,V3) | pppp19-{T}(V4,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #639: mergings( V3 == V4; #637 ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp19-{F}(V2,V3), V3 == V0, P_powerset-{F}(V1,V3) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #644: mergings( V2 == V3, V3 == V4; #641 ), references = 2, size of lhs = 7:
% 104.58/104.78 finite-{F}(V0), P_empty_set-{F}(V1), V0 == V1, P_powerset-{F}(V2,V0), pppp2-{F}(V2,V3), subset-{F}(V3,V4), pppp2-{F}(V4,V3) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #674: exists( #26, #668 ), references = 2, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp6-{F}(V3), element-{F}(V3,V2) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #676: mergings( V2 == V5; #672 ), references = 8, size of lhs = 5:
% 104.58/104.78 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #687: mergings( V3 == V4, V4 == V6; #683 ), references = 2, size of lhs = 4:
% 104.58/104.78 empty-{F}(V0), P_powerset-{F}(V0,V1), pppp19-{F}(V1,V2), P_empty_set-{F}(V3) | pppp3-{T}(V1,V2,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #695: disj( #10, mergings( V3 == V4; #637 ) ), references = 1, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), P_powerset-{F}(V1,V3), V3 == V0 | pppp0-{T}(V2,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #722: mergings( V2 == V3, V3 == V7; #719 ), references = 1, size of lhs = 6:
% 104.58/104.78 pppp22-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp2-{F}(V3,V2), P_powerset-{F}(V3,V0), P_empty_set-{F}(V4) | pppp15-{T}(V4,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #741: exists( #26, #739 ), references = 1, size of lhs = 3:
% 104.58/104.78 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp5-{T}(V1,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #743: disj( #18, mergings( V2 == V3, V3 == V4; #641 ) ), references = 1, size of lhs = 5:
% 104.58/104.78 finite-{F}(V0), P_empty_set-{F}(V1), V0 == V1, P_powerset-{F}(V2,V0), subset-{F}(V3,V2) | pppp20-{T}(V2,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #758: disj( #18, mergings( V2 == V3, V3 == V4; #641 ) ), references = 1, size of lhs = 6:
% 104.58/104.78 finite-{F}(V0), P_empty_set-{F}(V1), V0 == V1, P_powerset-{F}(V2,V0), pppp2-{F}(V2,V3), subset-{F}(V3,V4) | pppp20-{T}(V4,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #873: disj( #21, input ), references = 2, size of lhs = 3:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), pppp4-{F}(V2,V1,V3) | pppp1-{T}(V2,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #875: mergings( V1 == V3; #871 ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp4-{F}(V3,V0,V4) | pppp1-{T}(V3,V4)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #876: disj( #21, input ), references = 2, size of lhs = 2:
% 104.58/104.78 in-{F}(V0,V1), pppp4-{F}(V2,V0,V1) | pppp1-{T}(V2,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #994: disj( #21, input ), references = 1, size of lhs = 3:
% 104.58/104.78 in-{F}(V0,V1), pppp4-{F}(V2,V1,V0), pppp4-{F}(V2,V3,V0) | in-{T}(V0,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #1158: disj( #21, #17+#0 ), references = 1, size of lhs = 3:
% 104.58/104.78 pppp2-{F}(V0,V1), in-{F}(V1,V2), pppp4-{F}(V0,V3,V2) | in-{T}(V2,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #1320: disj( #21, #22+#23+#83+#24+#17+#20 ), references = 5, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), subset-{F}(V1,V2), pppp2-{F}(V2,V3), pppp4-{F}(V1,V3,V4), pppp4-{F}(V1,V5,V4) | in-{T}(V4,V5)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #1402: mergings( V3 == V4; #1400 ), references = 7, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), subset-{F}(V1,V3), pppp20-{F}(V3,V2), subset-{F}(V3,V4), pppp2-{F}(V4,V2) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #1543: mergings( V4 == V5; #1541 ), references = 1, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), subset-{F}(V1,V2), pppp17-{F}(V2,V1), P_finite_subsets-{F}(V2,V3) | P_finite_subsets-{T}(V1,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #1692: mergings( V3 == V4, V4 == V5; #1689 ), references = 1, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), pppp20-{F}(V1,V2), P_powerset-{F}(V1,V2), subset-{F}(V1,V3), pppp2-{F}(V3,V2), pppp2-{F}(V4,V2) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #1697: mergings( V3 == V4, V4 == V5; #1694 ), references = 1, size of lhs = 6:
% 104.58/104.78 preboolean-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V0), subset-{F}(V2,V3), pppp2-{F}(V3,V0), pppp2-{F}(V4,V0) | P_finite_subsets-{T}(V2,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #1716: mergings( V3 == V4, V4 == V7; #1713 ), references = 1, size of lhs = 6:
% 104.58/104.78 empty-{F}(V0), pppp20-{F}(V1,V0), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3), P_empty_set-{F}(V4) | pppp4-{T}(V1,V0,V4)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #1891: disj( #10, #8+#1402 ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), subset-{F}(V1,V3), pppp20-{F}(V3,V2), pppp2-{F}(V4,V2) | pppp19-{T}(V3,V4)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #1928: exists( #19, #1926 ), references = 2, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), pppp20-{F}(V1,V2), subset-{F}(V1,V3), pppp2-{F}(V3,V2), pppp0-{F}(V2,V4), pppp2-{F}(V1,V4) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2007: mergings( V2 == V3, V3 == V7; #2004 ), references = 1, size of lhs = 6:
% 104.58/104.78 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), element-{F}(V4,V2), V4 == V3 | pppp5-{T}(V4,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2181: mergings( V3 == V4, V4 == V5; #2178 ), references = 5, size of lhs = 8:
% 104.58/104.78 P_empty_set-{F}(V0), pppp20-{F}(V1,V2), subset-{F}(V1,V3), pppp2-{F}(V3,V2), pppp2-{F}(V4,V2), element-{F}(V2,V5), P_powerset-{F}(V1,V6), P_powerset-{F}(V6,V5) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2302: mergings( V2 == V3; #2300 ), references = 1, size of lhs = 8:
% 104.58/104.78 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2), P_powerset-{F}(V3,V2), P_powerset-{F}(V4,V5), V5 == V0, pppp2-{F}(V4,V6), subset-{F}(V6,V7), pppp2-{F}(V7,V6) | pppp19-{T}(V5,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2332: mergings( V2 == V4; #2330 ), references = 1, size of lhs = 9:
% 104.58/104.78 finite-{F}(V0), subset-{F}(V0,V1), P_empty_set-{F}(V2), pppp2-{F}(V3,V4), pppp20-{F}(V5,V4), pppp2-{F}(V5,V6), pppp4-{F}(V6,V0,V4), subset-{F}(V5,V7), pppp2-{F}(V7,V4) | pppp19-{T}(V1,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2354: disj( #10, #687+#12 ), references = 1, size of lhs = 4:
% 104.58/104.78 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), in-{F}(V2,V3) | pppp0-{T}(V1,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2532: exists( #97, #2530 ), references = 1, size of lhs = 6:
% 104.58/104.78 preboolean-{F}(V0), P_empty_set-{F}(V1), pppp2-{F}(V2,V0), subset-{F}(V2,V3), subset-{F}(V3,V4), pppp2-{F}(V4,V0) | P_finite_subsets-{T}(V3,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2572: mergings( V2 == V3; #2570 ), references = 1, size of lhs = 8:
% 104.58/104.78 P_empty_set-{F}(V0), pppp20-{F}(V1,V2), subset-{F}(V1,V3), pppp2-{F}(V3,V2), pppp2-{F}(V4,V2), P_powerset-{F}(V1,V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V7,V6) | pppp19-{T}(V2,V7)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2679: disj( #10, #8+#86 ), references = 2, size of lhs = 3:
% 104.58/104.78 pppp17-{F}(V0,V1), P_finite_subsets-{F}(V0,V2), P_finite_subsets-{F}(V1,V3) | pppp19-{T}(V2,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2684: mergings( V2 == V3; #2682 ), references = 1, size of lhs = 8:
% 104.58/104.78 P_empty_set-{F}(V0), subset-{F}(V1,V2), pppp20-{F}(V1,V3), pppp2-{F}(V4,V3), pppp2-{F}(V5,V3), element-{F}(V3,V6), P_powerset-{F}(V1,V7), P_powerset-{F}(V7,V6) | pppp19-{T}(V2,V4)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2802: mergings( V3 == V4, V4 == V5; #2799 ), references = 3, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp19-{F}(V2,V3), P_powerset-{F}(V4,V2), subset-{F}(V4,V5), pppp2-{F}(V5,V3) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2809: mergings( V2 == V3, V3 == V4; #2806 ), references = 2, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), subset-{F}(V1,V2), P_powerset-{F}(V1,V3), P_finite_subsets-{F}(V4,V3), pppp17-{F}(V4,V2), pppp2-{F}(V5,V3) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2953: mergings( V2 == V3, V5 == V8, V6 == V7; #2948 ), references = 1, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), subset-{F}(V1,V2), P_powerset-{F}(V1,V3), P_finite_subsets-{F}(V2,V3), pppp17-{F}(V2,V4), pppp2-{F}(V5,V3) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #2957: mergings( V5 == V6, V2 == V3; #2954 ), references = 1, size of lhs = 6:
% 104.58/104.78 pppp18-{F}(V0), P_empty_set-{F}(V1), subset-{F}(V2,V0), P_powerset-{F}(V2,V3), P_finite_subsets-{F}(V0,V3), pppp2-{F}(V4,V3) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3016: disj( #18, mergings( V3 == V4, V4 == V5; #2178 ) ), references = 1, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), pppp20-{F}(V1,V2), subset-{F}(V1,V3), element-{F}(V2,V4), P_powerset-{F}(V1,V5), P_powerset-{F}(V5,V4) | pppp20-{T}(V3,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3017: disj( #18, exists( #19, #1926 ) ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), pppp20-{F}(V1,V2), subset-{F}(V1,V3), pppp0-{F}(V2,V4), pppp2-{F}(V1,V4) | pppp20-{T}(V3,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3018: disj( #18, mergings( V3 == V4, V4 == V5; #2799 ) ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp19-{F}(V2,V3), P_powerset-{F}(V4,V2), subset-{F}(V4,V5) | pppp20-{T}(V5,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3078: mergings( V2 == V3, V3 == V6; #3075 ), references = 1, size of lhs = 5:
% 104.58/104.78 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp0-{F}(V3,V1), V3 == V2 | pppp5-{T}(V3,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3305: disj( #21, input ), references = 1, size of lhs = 3:
% 104.58/104.78 pppp1-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp4-{F}(V3,V2,V1) | pppp1-{T}(V3,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3306: disj( #21, input ), references = 1, size of lhs = 2:
% 104.58/104.78 pppp4-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2) | pppp1-{T}(V0,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3551: mergings( V3 == V4; #3547 ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp6-{F}(V3), pppp4-{F}(V4,V2,V3) | pppp1-{T}(V4,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3553: mergings( V3 == V5; #3548 ), references = 2, size of lhs = 5:
% 104.58/104.78 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp4-{F}(V3,V1,V4), V4 == V2 | pppp1-{T}(V3,V4)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3554: disj( #21, #9+#0 ), references = 1, size of lhs = 2:
% 104.58/104.78 pppp0-{F}(V0,V1), pppp4-{F}(V2,V0,V1) | pppp1-{T}(V2,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3567: mergings( V4 == V5, V5 == V8; #3564 ), references = 1, size of lhs = 7:
% 104.58/104.78 empty-{F}(V0), P_powerset-{F}(V0,V1), pppp20-{F}(V2,V1), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V2,V4), P_empty_set-{F}(V5) | pppp4-{T}(V2,V1,V5)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3571: mergings( V3 == V4, V4 == V7; #3568 ), references = 1, size of lhs = 9:
% 104.58/104.78 empty-{F}(V0), P_powerset-{F}(V0,V1), pppp20-{F}(V2,V1), pppp1-{F}(V2,V3), in-{F}(V3,V1), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V2,V5) | pppp4-{T}(V2,V1,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3577: mergings( V4 == V5, V5 == V8; #3574 ), references = 1, size of lhs = 9:
% 104.58/104.78 preboolean-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V0), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V3), P_empty_set-{F}(V5), pppp1-{F}(V4,V5), in-{F}(V5,V0) | P_finite_subsets-{T}(V4,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3620: disj( #18, mergings( V3 == V4; #637 ) ), references = 1, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), pppp19-{F}(V1,V2), V2 == V0, P_powerset-{F}(V3,V2) | pppp20-{T}(V3,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3677: mergings( V2 == V3; #3675 ), references = 1, size of lhs = 8:
% 104.58/104.78 finite-{F}(V0), P_empty_set-{F}(V1), pppp2-{F}(V2,V0), subset-{F}(V3,V2), P_powerset-{F}(V3,V4), subset-{F}(V4,V5), pppp2-{F}(V5,V4), pppp2-{F}(V6,V4) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3724: exists( #97, #3722 ), references = 1, size of lhs = 6:
% 104.58/104.78 pppp2-{F}(V0,V1), pppp17-{F}(V2,V1), P_finite_subsets-{F}(V2,V3), in-{F}(V4,V2), in-{F}(V4,V5), pppp4-{F}(V0,V5,V4) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3787: exists( #97, #3783 ), references = 1, size of lhs = 6:
% 104.58/104.78 pppp2-{F}(V0,V1), pppp17-{F}(V2,V1), P_finite_subsets-{F}(V2,V3), in-{F}(V4,V2), subset-{F}(V4,V5), pppp2-{F}(V5,V4) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3788: exists( #97, #3784 ), references = 1, size of lhs = 7:
% 104.58/104.78 pppp2-{F}(V0,V1), pppp17-{F}(V2,V1), P_finite_subsets-{F}(V2,V3), in-{F}(V4,V2), subset-{F}(V4,V5), pppp2-{F}(V5,V6), pppp3-{F}(V7,V6,V4) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3980: disj( #21, #22+#1402 ), references = 2, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), subset-{F}(V1,V2), pppp2-{F}(V1,V3), pppp20-{F}(V2,V3), pppp2-{F}(V4,V3), pppp4-{F}(V4,V5,V2) | in-{T}(V2,V5)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3993: mergings( V3 == V4, V4 == V5, V5 == V6; #3988 ), references = 1, size of lhs = 10:
% 104.58/104.78 preboolean-{F}(V0), P_empty_set-{F}(V1), pppp2-{F}(V2,V0), subset-{F}(V2,V3), pppp2-{F}(V4,V0), subset-{F}(V5,V3), pppp2-{F}(V5,V0), pppp2-{F}(V6,V0), P_powerset-{F}(V6,V7), pppp4-{F}(V4,V7,V3) | P_finite_subsets-{T}(V3,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #3996: mergings( V3 == V4, V4 == V5; #3989 ), references = 1, size of lhs = 12:
% 104.58/104.78 preboolean-{F}(V0), P_empty_set-{F}(V1), pppp2-{F}(V2,V0), subset-{F}(V2,V3), pppp2-{F}(V4,V0), pppp20-{F}(V5,V3), subset-{F}(V5,V6), pppp2-{F}(V6,V3), pppp2-{F}(V7,V3), P_powerset-{F}(V5,V8), P_powerset-{F}(V8,V9), pppp4-{F}(V4,V9,V3) | P_finite_subsets-{T}(V3,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #4073: disj( #10, exists( #19, #1926 ) ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), pppp20-{F}(V1,V2), subset-{F}(V1,V3), pppp2-{F}(V3,V2), pppp2-{F}(V1,V4) | pppp19-{T}(V2,V4)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #4402: mergings( V3 == V4, V4 == V5; #4399 ), references = 1, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp19-{F}(V2,V3), V3 == V0, subset-{F}(V1,V4), P_powerset-{F}(V4,V3) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #4408: mergings( V2 == V3, V3 == V4, V4 == V5; #4404 ), references = 1, size of lhs = 8:
% 104.58/104.78 finite-{F}(V0), P_empty_set-{F}(V1), V0 == V1, P_powerset-{F}(V2,V0), subset-{F}(V3,V2), pppp2-{F}(V3,V4), subset-{F}(V4,V5), pppp2-{F}(V5,V4) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #4621: mergings( V2 == V3; #4619 ), references = 1, size of lhs = 10:
% 104.58/104.78 P_empty_set-{F}(V0), pppp20-{F}(V1,V2), in-{F}(V2,V3), pppp17-{F}(V3,V4), P_finite_subsets-{F}(V3,V5), subset-{F}(V1,V6), pppp2-{F}(V6,V2), pppp2-{F}(V7,V2), P_powerset-{F}(V1,V8), P_powerset-{F}(V8,V4) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #4650: disj( #18, mergings( V3 == V4, V4 == V5; #2799 ) ), references = 1, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), pppp19-{F}(V2,V3), subset-{F}(V1,V4), pppp2-{F}(V4,V3), #-{F} V5 | pppp20-{T}(V5,V2)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #4794: disj( #10, mergings( V3 == V4, V4 == V5; #4399 ) ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), subset-{F}(V1,V3), P_powerset-{F}(V3,V4), V4 == V0 | pppp0-{T}(V2,V4)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #4845: exists( #96, #4843 ), references = 3, size of lhs = 6:
% 104.58/104.78 P_empty_set-{F}(V0), finite-{F}(V1), subset-{F}(V2,V1), subset-{F}(V2,V3), pppp2-{F}(V3,V4), pppp3-{F}(V5,V4,V2) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #4911: disj( #18, mergings( V2 == V3, V3 == V4; #641 ) ), references = 1, size of lhs = 6:
% 104.58/104.78 finite-{F}(V0), P_empty_set-{F}(V1), V0 == V1, P_powerset-{F}(V2,V0), subset-{F}(V3,V4), pppp2-{F}(V4,V3) | pppp20-{T}(V2,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #4912: disj( #18, mergings( V2 == V3, V3 == V4, V4 == V5; #4404 ) ), references = 1, size of lhs = 7:
% 104.58/104.78 finite-{F}(V0), P_empty_set-{F}(V1), V0 == V1, P_powerset-{F}(V2,V0), subset-{F}(V3,V2), subset-{F}(V4,V5), pppp2-{F}(V5,V4) | pppp20-{T}(V3,V4)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #5029: disj( #10, #8+#83+#86 ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), pppp17-{F}(V1,V2), P_finite_subsets-{F}(V1,V3), subset-{F}(V3,V4), P_finite_subsets-{F}(V2,V5) | pppp19-{T}(V4,V5)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #5232: disj( #18, exists( #96, #4843 ) ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), finite-{F}(V1), subset-{F}(V2,V1), subset-{F}(V2,V3), pppp3-{F}(V4,V5,V2) | pppp20-{T}(V3,V5)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #5321: disj( #10, #9+#12 ), references = 1, size of lhs = 2:
% 104.58/104.78 in-{F}(V0,V1), pppp3-{F}(V2,V3,V0) | pppp19-{T}(V1,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #5322: disj( #10, #8+#2802 ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), pppp2-{F}(V3,V2), pppp19-{F}(V2,V4), pppp2-{F}(V5,V4) | pppp19-{T}(V1,V5)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #5323: disj( #10, #8+#1402 ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp20-{F}(V3,V2), subset-{F}(V3,V4), pppp2-{F}(V4,V2) | pppp19-{T}(V1,V3)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #5346: disj( #10, #8+#4845 ), references = 1, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), finite-{F}(V1), subset-{F}(V2,V3), pppp2-{F}(V3,V4), pppp3-{F}(V5,V4,V2) | pppp19-{T}(V2,V1)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #5604: mergings( V3 == V4, V4 == V5; #5601 ), references = 3, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp19-{F}(V2,V3), subset-{F}(V1,V4), pppp2-{F}(V4,V3) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #5650: mergings( V2 == V3; #5648 ), references = 1, size of lhs = 7:
% 104.58/104.78 finite-{F}(V0), P_empty_set-{F}(V1), pppp2-{F}(V2,V0), subset-{F}(V3,V2), pppp2-{F}(V3,V4), subset-{F}(V4,V5), pppp2-{F}(V5,V4) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #5929: exists( #97, #5927 ), references = 2, size of lhs = 5:
% 104.58/104.78 P_empty_set-{F}(V0), subset-{F}(V1,V2), pppp2-{F}(V1,V3), P_finite_subsets-{F}(V4,V3), pppp17-{F}(V4,V2) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #6175: mergings( V3 == V6, V4 == V5; #6172 ), references = 1, size of lhs = 4:
% 104.58/104.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), P_finite_subsets-{F}(V1,V2), pppp17-{F}(V1,V3) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #6178: mergings( V3 == V4; #6176 ), references = 2, size of lhs = 4:
% 104.58/104.78 pppp18-{F}(V0), P_empty_set-{F}(V1), pppp2-{F}(V0,V2), P_finite_subsets-{F}(V0,V2) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #6182: disj( #18, mergings( V2 == V3; #5648 ) ), references = 1, size of lhs = 4:
% 104.58/104.78 finite-{F}(V0), P_empty_set-{F}(V1), subset-{F}(V0,V2), subset-{F}(V2,V2) | pppp20-{T}(V2,V0)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #6183: disj( #18, mergings( V2 == V3, V3 == V4, V4 == V5; #4404 ) ), references = 1, size of lhs = 6:
% 104.58/104.78 finite-{F}(V0), P_empty_set-{F}(V1), V0 == V1, P_powerset-{F}(V2,V0), subset-{F}(V3,V2), subset-{F}(V4,V3) | pppp20-{T}(V3,V4)
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #6191: exists( #97, #6189 ), references = 1, size of lhs = 2:
% 104.58/104.78 pppp18-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #6194: mergings( V0 == V2; #6192 ), references = 1, size of lhs = 1:
% 104.58/104.78 P_empty_set-{F}(V0) | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 #6196: exists( #98, #6192 ), references = 1, size of lhs = 0:
% 104.58/104.78 FALSE | FALSE
% 104.58/104.78 (used 0 times, uses = {})
% 104.58/104.78
% 104.58/104.78 number of learnt formulas = 112
% 104.58/104.78
% 104.58/104.78
% 104.58/104.78 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 104.58/104.78
% 104.58/104.78 randbase = 1
%------------------------------------------------------------------------------