%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU101+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:17:11 EDT 2022
% Result : Theorem 28.30s 28.48s
% Output : Refutation 28.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU101+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 19:10:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 28.30/28.48 GeoParameters:
% 28.30/28.48
% 28.30/28.48 tptp_input = 1
% 28.30/28.48 tptp_output = 0
% 28.30/28.48 nonempty = 1
% 28.30/28.48 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.30/28.48 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 28.30/28.48
% 28.30/28.48
% 28.30/28.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.30/28.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.30/28.48
% 28.30/28.48 RuleSystem INPUT:
% 28.30/28.48
% 28.30/28.48 Initial Rules:
% 28.30/28.48 #0: input, references = 16, size of lhs = 2:
% 28.30/28.48 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1: input, references = 3, size of lhs = 1:
% 28.30/28.48 empty-{F}(V0) | finite-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2: input, references = 4, size of lhs = 1:
% 28.30/28.48 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #3: input, references = 9, size of lhs = 1:
% 28.30/28.48 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #4: input, references = 3, size of lhs = 3:
% 28.30/28.48 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #5: input, references = 4, size of lhs = 2:
% 28.30/28.48 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #6: input, references = 4, size of lhs = 3:
% 28.30/28.48 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #7: input, references = 4, size of lhs = 1:
% 28.30/28.48 cup_closed-{F}(V0) | pppp0-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #8: input, references = 4, size of lhs = 1:
% 28.30/28.48 pppp0-{F}(V0) | cup_closed-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #9: input, references = 5, size of lhs = 4:
% 28.30/28.48 pppp0-{F}(V0), in-{F}(V1,V0), P_set_union2-{F}(V2,V1,V3), in-{F}(V2,V0) | in-{T}(V3,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #10: input, references = 8, size of lhs = 1:
% 28.30/28.48 #-{F} V0 | pppp0-{T}(V0), pppp23-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #11: input, references = 7, size of lhs = 1:
% 28.30/28.48 pppp23-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #12: input, references = 5, size of lhs = 1:
% 28.30/28.48 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V2,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #13: input, references = 8, size of lhs = 1:
% 28.30/28.48 pppp5-{F}(V0,V1) | in-{T}(V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #14: input, references = 9, size of lhs = 3:
% 28.30/28.48 pppp4-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3), in-{F}(V3,V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #15: input, references = 5, size of lhs = 2:
% 28.30/28.48 pppp4-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3) | in-{T}(V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #16: input, references = 9, size of lhs = 1:
% 28.30/28.48 diff_closed-{F}(V0) | pppp1-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #17: input, references = 4, size of lhs = 1:
% 28.30/28.48 pppp1-{F}(V0) | diff_closed-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #18: input, references = 16, size of lhs = 4:
% 28.30/28.48 pppp1-{F}(V0), in-{F}(V1,V0), P_set_difference-{F}(V2,V1,V3), in-{F}(V2,V0) | in-{T}(V3,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #19: input, references = 9, size of lhs = 1:
% 28.30/28.48 #-{F} V0 | pppp1-{T}(V0), pppp24-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #20: input, references = 7, size of lhs = 1:
% 28.30/28.48 pppp24-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #21: input, references = 6, size of lhs = 1:
% 28.30/28.48 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V2,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #22: input, references = 7, size of lhs = 1:
% 28.30/28.48 pppp7-{F}(V0,V1) | in-{T}(V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #23: input, references = 7, size of lhs = 3:
% 28.30/28.48 pppp6-{F}(V0,V1,V2), P_set_difference-{F}(V1,V2,V3), in-{F}(V3,V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #24: input, references = 18, size of lhs = 2:
% 28.30/28.48 pppp6-{F}(V0,V1,V2), P_set_difference-{F}(V1,V2,V3) | in-{T}(V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #25: input, references = 3, size of lhs = 1:
% 28.30/28.48 preboolean-{F}(V0) | pppp2-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #26: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp2-{F}(V0) | preboolean-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #27: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp2-{F}(V0) | cup_closed-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #28: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp2-{F}(V0) | diff_closed-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #29: input, references = 3, size of lhs = 2:
% 28.30/28.48 cup_closed-{F}(V0), diff_closed-{F}(V0) | pppp2-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #30: input, references = 7, size of lhs = 1:
% 28.30/28.48 #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #31: input, references = 7, size of lhs = 1:
% 28.30/28.48 pppp8-{F}(V0,V1) | element-{T}(V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #32: input, references = 3, size of lhs = 2:
% 28.30/28.48 finite-{F}(V0), P_set_difference-{F}(V0,V1,V2) | finite-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #33: input, references = 5, size of lhs = 2:
% 28.30/28.48 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #34: input, references = 3, size of lhs = 1:
% 28.30/28.48 P_empty_set-{F}(V0) | empty-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #35: input, references = 3, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #36: input, references = 3, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #37: input, references = 3, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), finite-{F}(V1), P_set_union2-{F}(V2,V1,V3), finite-{F}(V2) | finite-{T}(V3)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #38: input, references = 4, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #39: input, references = 3, size of lhs = 1:
% 28.30/28.48 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #40: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp9-{F}(V0) | finite-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #41: input, references = 3, size of lhs = 2:
% 28.30/28.48 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #42: input, references = 3, size of lhs = 1:
% 28.30/28.48 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #43: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp11-{F}(V0) | pppp10-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #44: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp10-{F}(V0) | preboolean-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #45: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp10-{F}(V0) | diff_closed-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #46: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp10-{F}(V0) | cap_closed-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #47: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp10-{F}(V0) | cup_closed-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #48: input, references = 3, size of lhs = 2:
% 28.30/28.48 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #49: input, references = 4, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp25-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #50: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp25-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #51: input, references = 3, size of lhs = 2:
% 28.30/28.48 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #52: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #53: input, references = 4, size of lhs = 1:
% 28.30/28.48 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #54: input, references = 5, size of lhs = 1:
% 28.30/28.48 pppp13-{F}(V0) | empty-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #55: input, references = 4, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp15-{T}(V2,V3)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #56: input, references = 4, size of lhs = 1:
% 28.30/28.48 pppp15-{F}(V0,V1) | pppp14-{T}(V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #57: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp14-{F}(V0,V1) | finite-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #58: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp14-{F}(V0,V1) | natural-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #59: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp14-{F}(V0,V1) | ordinal-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #60: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp14-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #61: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp14-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #62: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp14-{F}(V0,V1) | one_to_one-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #63: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp14-{F}(V0,V1) | function-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #64: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp14-{F}(V0,V1) | relation-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #65: input, references = 4, size of lhs = 1:
% 28.30/28.48 pppp14-{F}(V0,V1) | empty-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #66: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp14-{F}(V0,V1) | element-{T}(V0,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #67: input, references = 4, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp16-{T}(V3,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #68: input, references = 4, size of lhs = 1:
% 28.30/28.48 pppp16-{F}(V0,V1) | empty-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #69: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp16-{F}(V0,V1) | element-{T}(V0,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #70: input, references = 3, size of lhs = 1:
% 28.30/28.48 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #71: input, references = 3, size of lhs = 2:
% 28.30/28.48 pppp17-{F}(V0), empty-{F}(V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #72: input, references = 4, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp26-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #73: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp26-{F}(V0) | EXISTS V1: pppp18-{T}(V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #74: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp18-{F}(V0,V1) | finite-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #75: input, references = 3, size of lhs = 2:
% 28.30/28.48 pppp18-{F}(V0,V1), empty-{F}(V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #76: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp18-{F}(V0,V1) | element-{T}(V0,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #77: input, references = 4, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp27-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #78: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp27-{F}(V0) | EXISTS V1: pppp19-{T}(V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #79: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp19-{F}(V0,V1) | finite-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #80: input, references = 3, size of lhs = 2:
% 28.30/28.48 pppp19-{F}(V0,V1), empty-{F}(V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #81: input, references = 3, size of lhs = 1:
% 28.30/28.48 pppp19-{F}(V0,V1) | element-{T}(V0,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #82: input, references = 3, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #83: input, references = 4, size of lhs = 1:
% 28.30/28.48 P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #84: input, references = 4, size of lhs = 3:
% 28.30/28.48 pppp20-{F}(V0), pppp3-{F}(V0), preboolean-{F}(V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #85: input, references = 6, size of lhs = 1:
% 28.30/28.48 pppp20-{F}(V0) | preboolean-{T}(V0), pppp3-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #86: input, references = 7, size of lhs = 6:
% 28.30/28.48 P_empty_set-{F}(V0), pppp3-{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)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #87: input, references = 10, size of lhs = 6:
% 28.30/28.48 P_empty_set-{F}(V0), pppp3-{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)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #88: input, references = 12, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), #-{F} V1 | pppp3-{T}(V1), pppp28-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #89: input, references = 6, size of lhs = 1:
% 28.30/28.48 pppp28-{F}(V0) | EXISTS V1: pppp22-{T}(V0,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #90: input, references = 5, size of lhs = 1:
% 28.30/28.48 pppp22-{F}(V0,V1) | EXISTS V2: pppp21-{T}(V0,V2,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #91: input, references = 7, size of lhs = 1:
% 28.30/28.48 pppp22-{F}(V0,V1) | in-{T}(V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #92: input, references = 8, size of lhs = 5:
% 28.30/28.48 pppp21-{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
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #93: input, references = 12, size of lhs = 3:
% 28.30/28.48 pppp21-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V1,V2,V4) | in-{T}(V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #94: input, references = 4, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #95: input, references = 18, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #96: input, references = 6, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #97: input, references = 4, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #98: input, references = 3, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #99: input, references = 3, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #100: input, references = 4, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), P_set_difference-{F}(V0,V1,V2), V2 == V0 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #101: input, references = 24, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #102: input, references = 7, size of lhs = 5:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #103: input, references = 9, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #104: input, references = 5, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #105: input, references = 4, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #106: input, references = 3, size of lhs = 1:
% 28.30/28.48 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #107: input, references = 12, size of lhs = 2:
% 28.30/28.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #108: input, references = 24, size of lhs = 2:
% 28.30/28.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #109: input, references = 4, size of lhs = 0:
% 28.30/28.48 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 number of initial rules = 110
% 28.30/28.48
% 28.30/28.48 Simplifiers:
% 28.30/28.48 #110: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #111: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #112: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #113: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #114: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #115: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V2), V1 == V4 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #116: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V2 == V5 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #117: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #118: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V2), V1 == V4 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #119: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V5), V2 == V5 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #120: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #121: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #122: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #123: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #124: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #125: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #126: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #127: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #128: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #129: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #130: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #131: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #132: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp19-{F}(V0,V1), pppp19-{F}(V2,V1), V0 == V2 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #133: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #134: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V4,V2), V1 == V4 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #135: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V4,V5), V2 == V5 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #136: unsound, references = 3, size of lhs = 3:
% 28.30/28.48 pppp22-{F}(V0,V1), pppp22-{F}(V0,V3), V1 == V3 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 number of simplifiers = 27
% 28.30/28.48
% 28.30/28.48 Learnt:
% 28.30/28.48 #138: exists( #107, #38 ), references = 1, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #146: mergings( V0 == V2; #143 ), references = 1, size of lhs = 1:
% 28.30/28.48 P_empty_set-{F}(V0) | pppp13-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #148: mergings( V0 == V2; #144 ), references = 1, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), empty-{F}(V1) | pppp13-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #150: exists( #107, #94 ), references = 3, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #153: exists( #108, #97 ), references = 3, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V1,V0,V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #155: exists( #108, #100 ), references = 1, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V0,V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #158: exists( #107, #6 ), references = 8, size of lhs = 1:
% 28.30/28.48 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #163: mergings( V0 == V3; #159 ), references = 1, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp25-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #166: mergings( V0 == V3, V1 == V3; #160 ), references = 1, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp25-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #168: mergings( V1 == V0; #161 ), references = 1, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), pppp17-{F}(V0), P_powerset-{F}(V0,V1) | pppp25-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #171: disj( #88, input ), references = 1, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), pppp20-{F}(V1), preboolean-{F}(V1) | pppp28-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #176: mergings( V0 == V3; #172 ), references = 1, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp26-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #179: mergings( V0 == V3, V1 == V3; #173 ), references = 1, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp26-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #181: mergings( V1 == V0; #174 ), references = 1, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), pppp9-{F}(V0), P_powerset-{F}(V0,V1) | pppp26-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #184: mergings( V0 == V3; #182 ), references = 2, size of lhs = 5:
% 28.30/28.48 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #195: disj( #96, #18+#0 ), references = 5, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), pppp1-{F}(V1), element-{F}(V2,V1), P_set_difference-{F}(V2,V2,V1) | empty-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #212: mergings( V0 == V3; #208 ), references = 11, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #215: mergings( V0 == V3, V2 == V3; #209 ), references = 1, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #217: mergings( V2 == V0; #210 ), references = 1, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), pppp9-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #239: mergings( V0 == V4; #237 ), references = 1, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp15-{T}(V2,V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #247: disj( #19, #18+#0 ), references = 1, size of lhs = 3:
% 28.30/28.48 in-{F}(V0,V1), P_set_difference-{F}(V2,V0,V1), in-{F}(V2,V1) | pppp24-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #248: disj( #19, #195+#33 ), references = 1, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), element-{F}(V1,V2), P_set_difference-{F}(V1,V1,V2), P_powerset-{F}(V3,V2) | pppp24-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #250: mergings( V1 == V3; #246 ), references = 1, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0, P_set_difference-{F}(V1,V1,V2) | pppp24-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #258: mergings( V0 == V3; #254 ), references = 1, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp27-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #261: mergings( V0 == V3, V1 == V3; #255 ), references = 1, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp27-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #264: mergings( V0 == V3, V1 == V3; #256 ), references = 1, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp27-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #273: mergings( V0 == V2; #271 ), references = 1, size of lhs = 5:
% 28.30/28.48 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) | pppp28-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #290: exists( #11, #285 ), references = 1, size of lhs = 3:
% 28.30/28.48 pppp23-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #291: exists( #11, #287 ), references = 2, size of lhs = 5:
% 28.30/28.48 pppp23-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), element-{F}(V0,V3) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #293: disj( #10, exists( #11, #285 ) ), references = 1, size of lhs = 2:
% 28.30/28.48 empty-{F}(V0), P_empty_set-{F}(V1) | pppp0-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #316: disj( #85, #3+#16+#18+#0 ), references = 1, size of lhs = 4:
% 28.30/28.48 pppp20-{F}(V0), in-{F}(V1,V0), P_set_difference-{F}(V2,V1,V0), in-{F}(V2,V0) | pppp3-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #317: disj( #85, #3+#16+#195+#33 ), references = 1, size of lhs = 5:
% 28.30/28.48 pppp20-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V0), P_set_difference-{F}(V2,V2,V0), P_powerset-{F}(V3,V0) | pppp3-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #319: mergings( V1 == V3; #315 ), references = 1, size of lhs = 5:
% 28.30/28.48 pppp20-{F}(V0), element-{F}(V1,V0), P_set_difference-{F}(V1,V1,V0), P_empty_set-{F}(V2), V0 == V2 | pppp3-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #333: mergings( V0 == V4; #331 ), references = 1, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp16-{T}(V0,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #365: exists( #12, #363 ), references = 3, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), pppp5-{F}(V1,V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #391: disj( #10, exists( #11, #287 ) ), references = 1, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2) | pppp0-{T}(V3)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #420: mergings( V2 == V5; #417 ), references = 9, size of lhs = 5:
% 28.30/28.48 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #429: mergings( V2 == V3, V3 == V5; #425 ), references = 2, size of lhs = 4:
% 28.30/28.48 pppp23-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V0), P_empty_set-{F}(V2) | pppp5-{T}(V0,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #447: disj( #10, #429+#365 ), references = 1, size of lhs = 3:
% 28.30/28.48 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp0-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #459: exists( #30, #456 ), references = 1, size of lhs = 3:
% 28.30/28.48 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp8-{T}(V1,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #476: exists( #21, #474 ), references = 3, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), pppp7-{F}(V1,V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #503: mergings( V0 == V2; #501 ), references = 1, size of lhs = 6:
% 28.30/28.48 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_set_union2-{F}(V3,V1,V4), in-{F}(V2,V4), P_set_difference-{F}(V3,V1,V5) | pppp28-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #511: exists( #108, #509 ), references = 2, size of lhs = 4:
% 28.30/28.48 pppp1-{F}(V0), in-{F}(V1,V0), pppp6-{F}(V0,V1,V2), in-{F}(V2,V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #526: exists( #108, #522 ), references = 4, size of lhs = 2:
% 28.30/28.48 in-{F}(V0,V1), pppp6-{F}(V0,V1,V2) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #528: mergings( V4 == V1; #525 ), references = 1, size of lhs = 3:
% 28.30/28.48 pppp1-{F}(V0), in-{F}(V1,V0), pppp6-{F}(V0,V2,V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #530: exists( #21, #525 ), references = 2, size of lhs = 3:
% 28.30/28.48 pppp1-{F}(V0), pppp7-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #533: exists( #20, #531 ), references = 2, size of lhs = 2:
% 28.30/28.48 pppp24-{F}(V0), pppp1-{F}(V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #563: exists( #108, #558 ), references = 1, size of lhs = 1:
% 28.30/28.48 pppp6-{F}(V0,V0,V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #564: exists( #108, #559 ), references = 1, size of lhs = 2:
% 28.30/28.48 pppp6-{F}(V0,V1,V2), pppp6-{F}(V1,V0,V3) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #579: exists( #108, #577 ), references = 3, size of lhs = 5:
% 28.30/28.48 P_empty_set-{F}(V0), pppp3-{F}(V1), in-{F}(V2,V1), P_set_union2-{F}(V3,V2,V1), in-{F}(V3,V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #625: exists( #108, #623 ), references = 1, size of lhs = 7:
% 28.30/28.48 P_empty_set-{F}(V0), pppp3-{F}(V1), in-{F}(V2,V1), in-{F}(V3,V1), P_set_union2-{F}(V3,V2,V4), pppp4-{F}(V1,V5,V6), P_set_union2-{F}(V5,V6,V4) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #628: exists( #107, #626 ), references = 2, size of lhs = 5:
% 28.30/28.48 P_empty_set-{F}(V0), pppp3-{F}(V1), in-{F}(V2,V1), pppp4-{F}(V1,V2,V3), in-{F}(V3,V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #632: mergings( V3 == V4; #630 ), references = 1, size of lhs = 7:
% 28.30/28.48 P_empty_set-{F}(V0), pppp3-{F}(V1), in-{F}(V2,V1), in-{F}(V3,V1), P_set_union2-{F}(V3,V2,V4), pppp4-{F}(V1,V4,V5), in-{F}(V5,V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #687: mergings( V5 == V0; #685 ), references = 1, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), pppp3-{F}(V1), in-{F}(V2,V1), pppp4-{F}(V1,V3,V2) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #689: exists( #12, #685 ), references = 1, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp5-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #692: exists( #11, #690 ), references = 1, size of lhs = 3:
% 28.30/28.48 pppp23-{F}(V0), pppp3-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #695: mergings( V0 == V2; #693 ), references = 2, size of lhs = 2:
% 28.30/28.48 pppp23-{F}(V0), P_empty_set-{F}(V1) | pppp28-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #715: disj( #85, #3+#16+#533 ), references = 2, size of lhs = 2:
% 28.30/28.48 pppp20-{F}(V0), pppp24-{F}(V0) | pppp3-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #716: disj( #85, #3+#16+#530 ), references = 1, size of lhs = 3:
% 28.30/28.48 pppp20-{F}(V0), pppp7-{F}(V0,V1), in-{F}(V1,V0) | pppp3-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #748: mergings( V2 == V4; #746 ), references = 2, size of lhs = 4:
% 28.30/28.48 pppp28-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V0), P_empty_set-{F}(V2) | pppp22-{T}(V0,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #771: exists( #90, #769 ), references = 2, size of lhs = 2:
% 28.30/28.48 P_empty_set-{F}(V0), pppp22-{F}(V1,V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #797: mergings( V0 == V3; #795 ), references = 1, size of lhs = 3:
% 28.30/28.48 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp3-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #823: exists( #89, #818 ), references = 1, size of lhs = 3:
% 28.30/28.48 pppp28-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #825: mergings( V0 == V2; #822 ), references = 1, size of lhs = 5:
% 28.30/28.48 pppp28-{F}(V0), P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #829: mergings( V0 == V2; #826 ), references = 1, size of lhs = 2:
% 28.30/28.48 empty-{F}(V0), P_empty_set-{F}(V1) | pppp3-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #832: mergings( V0 == V2, V1 == V2; #827 ), references = 1, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2) | pppp3-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #882: mergings( V2 == V4; #880 ), references = 1, size of lhs = 4:
% 28.30/28.48 pppp24-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V0), P_empty_set-{F}(V2) | pppp7-{T}(V0,V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #886: mergings( V1 == V3; #884 ), references = 1, size of lhs = 3:
% 28.30/28.48 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp1-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #988: exists( #108, #986 ), references = 1, size of lhs = 3:
% 28.30/28.48 in-{F}(V0,V1), pppp21-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1035: mergings( V4 == V5; #1033 ), references = 1, size of lhs = 8:
% 28.30/28.48 pppp1-{F}(V0), in-{F}(V1,V0), P_empty_set-{F}(V2), element-{F}(V0,V3), P_powerset-{F}(V4,V3), V4 == V2, pppp6-{F}(V4,V1,V5), in-{F}(V5,V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1215: mergings( V6 == V7, V7 == V8, V8 == V9; #1210 ), references = 1, size of lhs = 12:
% 28.30/28.48 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_set_difference-{F}(V3,V1,V4), in-{F}(V5,V2), P_set_difference-{F}(V5,V4,V6), P_powerset-{F}(V7,V2), P_powerset-{F}(V8,V7), V8 == V0, in-{F}(V8,V9), in-{F}(V9,V10), in-{F}(V10,V6) | pppp24-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1219: mergings( V6 == V7, V7 == V8, V8 == V9; #1211 ), references = 1, size of lhs = 12:
% 28.30/28.48 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_set_difference-{F}(V3,V1,V4), in-{F}(V5,V2), P_set_difference-{F}(V5,V4,V6), P_powerset-{F}(V7,V2), P_powerset-{F}(V8,V7), V8 == V0, in-{F}(V9,V6), in-{F}(V10,V9), pppp6-{F}(V10,V8,V11) | pppp24-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1438: mergings( V0 == V4; #1436 ), references = 1, size of lhs = 4:
% 28.30/28.48 pppp1-{F}(V0), in-{F}(V1,V0), P_set_union2-{F}(V2,V1,V2), pppp21-{F}(V0,V2,V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1496: mergings( V5 == V4; #1494 ), references = 2, size of lhs = 5:
% 28.30/28.48 pppp1-{F}(V0), in-{F}(V1,V0), pppp21-{F}(V0,V2,V1), P_set_union2-{F}(V2,V1,V3), in-{F}(V3,V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1587: mergings( V5 == V1, V6 == V0, V7 == V8; #1582 ), references = 1, size of lhs = 7:
% 28.30/28.48 pppp0-{F}(V0), pppp1-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V0), pppp21-{F}(V0,V3,V2), P_set_union2-{F}(V1,V3,V4), P_set_union2-{F}(V3,V2,V4) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1588: exists( #108, #1580 ), references = 1, size of lhs = 6:
% 28.30/28.48 pppp0-{F}(V0), in-{F}(V1,V0), in-{F}(V0,V2), P_set_union2-{F}(V1,V3,V2), pppp21-{F}(V0,V3,V4), P_set_union2-{F}(V3,V4,V5) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1592: exists( #107, #1589 ), references = 1, size of lhs = 4:
% 28.30/28.48 pppp0-{F}(V0), pppp1-{F}(V0), in-{F}(V1,V0), pppp21-{F}(V0,V2,V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1594: exists( #90, #1591 ), references = 1, size of lhs = 4:
% 28.30/28.48 pppp0-{F}(V0), pppp1-{F}(V0), pppp22-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1597: exists( #89, #1595 ), references = 2, size of lhs = 3:
% 28.30/28.48 pppp28-{F}(V0), pppp0-{F}(V0), pppp1-{F}(V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1616: disj( #88, exists( #89, #1595 ) ), references = 2, size of lhs = 3:
% 28.30/28.48 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp1-{F}(V1) | pppp3-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1651: disj( #85, exists( #11, #690 ) ), references = 1, size of lhs = 3:
% 28.30/28.48 pppp20-{F}(V0), pppp23-{F}(V0), P_empty_set-{F}(V1) | preboolean-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1660: mergings( V1 == V2; #1658 ), references = 1, size of lhs = 2:
% 28.30/28.48 pppp20-{F}(V0), P_empty_set-{F}(V1) | pppp0-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1681: disj( #19, #17+#5+#1616+#84 ), references = 1, size of lhs = 4:
% 28.30/28.48 cup_closed-{F}(V0), pppp0-{F}(V0), pppp20-{F}(V0), P_empty_set-{F}(V1) | pppp24-{T}(V0)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1706: mergings( V2 == V6; #1704 ), references = 2, size of lhs = 6:
% 28.30/28.48 pppp24-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V0,V3), P_empty_set-{F}(V4) | pppp7-{T}(V0,V4)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1752: exists( #108, #1749 ), references = 1, size of lhs = 3:
% 28.30/28.48 pppp4-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3), pppp6-{F}(V0,V3,V4) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1803: exists( #108, #1801 ), references = 1, size of lhs = 4:
% 28.30/28.48 pppp4-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3), pppp21-{F}(V0,V3,V4), P_set_union2-{F}(V3,V4,V5) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1806: exists( #107, #1804 ), references = 1, size of lhs = 3:
% 28.30/28.48 pppp4-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3), pppp21-{F}(V0,V3,V4) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1874: mergings( V0 == V2, V2 == V3; #1871 ), references = 1, size of lhs = 7:
% 28.30/28.48 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_set_union2-{F}(V3,V1,V4), P_set_difference-{F}(V3,V1,V5), P_set_union2-{F}(V6,V5,V2), in-{F}(V6,V2) | pppp28-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1898: disj( #19, #18+#18+#526 ), references = 1, size of lhs = 6:
% 28.30/28.48 in-{F}(V0,V1), in-{F}(V2,V1), P_set_difference-{F}(V2,V0,V3), in-{F}(V4,V1), P_set_difference-{F}(V3,V4,V5), pppp6-{F}(V5,V1,V6) | pppp24-{T}(V1)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1975: mergings( V3 == V4, V4 == V5; #1971 ), references = 1, size of lhs = 8:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, pppp4-{F}(V1,V3,V4), P_set_union2-{F}(V3,V4,V5), in-{F}(V5,V6), pppp21-{F}(V2,V6,V7), P_set_union2-{F}(V6,V7,V8) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1978: mergings( V3 == V4, V4 == V5; #1972 ), references = 1, size of lhs = 10:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, in-{F}(V3,V1), pppp21-{F}(V1,V4,V5), P_set_difference-{F}(V4,V5,V3), P_set_union2-{F}(V4,V5,V6), in-{F}(V6,V7), pppp21-{F}(V2,V7,V8), P_set_union2-{F}(V7,V8,V9) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1985: mergings( V3 == V4, V4 == V5; #1981 ), references = 1, size of lhs = 7:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, pppp4-{F}(V1,V3,V4), P_set_union2-{F}(V3,V4,V5), in-{F}(V5,V6), pppp21-{F}(V2,V6,V7) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #1988: mergings( V3 == V4, V4 == V5; #1982 ), references = 1, size of lhs = 9:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, in-{F}(V3,V1), pppp21-{F}(V1,V4,V5), P_set_difference-{F}(V4,V5,V3), P_set_union2-{F}(V4,V5,V6), in-{F}(V6,V7), pppp21-{F}(V2,V7,V8) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2059: mergings( V3 == V4, V4 == V5; #2055 ), references = 1, size of lhs = 7:
% 28.30/28.48 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), pppp6-{F}(V3,V6,V7) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2062: mergings( V3 == V4, V4 == V8; #2056 ), references = 2, size of lhs = 7:
% 28.30/28.48 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), in-{F}(V4,V5), V4 == V3, pppp6-{F}(V2,V5,V6) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2148: mergings( V3 == V4, V4 == V5, V5 == V6; #2142 ), references = 1, size of lhs = 9:
% 28.30/28.48 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V5,V6), in-{F}(V6,V7), in-{F}(V7,V8), pppp6-{F}(V4,V8,V9) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2152: mergings( V3 == V4, V4 == V5, V5 == V10; #2143 ), references = 1, size of lhs = 9:
% 28.30/28.48 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_empty_set-{F}(V4), in-{F}(V5,V6), V5 == V4, in-{F}(V6,V7), pppp6-{F}(V3,V7,V8) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2156: mergings( V3 == V4, V4 == V5, V5 == V8; #2144 ), references = 1, size of lhs = 9:
% 28.30/28.48 pppp23-{F}(V0), in-{F}(V0,V1), in-{F}(V1,V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V7), pppp6-{F}(V7,V2,V8) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2227: mergings( V2 == V6; #2225 ), references = 1, size of lhs = 6:
% 28.30/28.48 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), pppp6-{F}(V2,V4,V5), V4 == V3 | pppp8-{T}(V4,V3)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2241: disj( #19, #1706+#476 ), references = 1, size of lhs = 5:
% 28.30/28.48 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_empty_set-{F}(V4) | pppp1-{T}(V3)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2279: mergings( V2 == V3, V3 == V7; #2276 ), references = 1, size of lhs = 6:
% 28.30/28.48 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), element-{F}(V4,V2), V4 == V3 | pppp8-{T}(V4,V3)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2345: exists( #108, #2343 ), references = 1, size of lhs = 6:
% 28.30/28.48 P_empty_set-{F}(V0), pppp3-{F}(V1), in-{F}(V2,V1), pppp6-{F}(V1,V2,V3), in-{F}(V3,V1), P_set_union2-{F}(V2,V3,V4) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2348: exists( #107, #2346 ), references = 2, size of lhs = 5:
% 28.30/28.48 P_empty_set-{F}(V0), pppp3-{F}(V1), in-{F}(V2,V1), pppp6-{F}(V1,V2,V3), in-{F}(V3,V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2512: mergings( V3 == V4, V4 == V5; #2507 ), references = 1, size of lhs = 7:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, pppp4-{F}(V1,V3,V4), P_set_union2-{F}(V3,V4,V5), in-{F}(V5,V6), pppp6-{F}(V2,V6,V7) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2515: mergings( V3 == V4, V4 == V5; #2508 ), references = 1, size of lhs = 9:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, in-{F}(V3,V1), pppp21-{F}(V1,V4,V5), P_set_difference-{F}(V4,V5,V3), P_set_union2-{F}(V4,V5,V6), in-{F}(V6,V7), pppp6-{F}(V2,V7,V8) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2518: mergings( V3 == V4, V4 == V5; #2509 ), references = 1, size of lhs = 6:
% 28.30/28.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, in-{F}(V1,V3), in-{F}(V3,V4), pppp6-{F}(V2,V4,V5) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2649: mergings( V2 == V6; #2647 ), references = 1, size of lhs = 6:
% 28.30/28.48 pppp23-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V0,V3), P_empty_set-{F}(V4) | pppp5-{T}(V0,V4)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2653: mergings( V1 == V5; #2651 ), references = 1, size of lhs = 5:
% 28.30/28.48 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)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2746: mergings( V0 == V2, V2 == V3; #2742 ), references = 1, size of lhs = 8:
% 28.30/28.48 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_set_union2-{F}(V3,V1,V4), P_set_difference-{F}(V3,V1,V5), in-{F}(V6,V2), P_set_difference-{F}(V5,V6,V2), P_set_union2-{F}(V5,V6,V7) | pppp28-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2750: mergings( V0 == V2, V2 == V3, V3 == V4; #2743 ), references = 1, size of lhs = 10:
% 28.30/28.48 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_set_union2-{F}(V3,V1,V4), P_set_difference-{F}(V3,V1,V5), in-{F}(V6,V2), P_set_union2-{F}(V5,V6,V7), P_set_difference-{F}(V5,V6,V8), P_set_union2-{F}(V9,V8,V2), in-{F}(V9,V2) | pppp28-{T}(V2)
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2813: mergings( V5 == V1; #2810 ), references = 1, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), pppp3-{F}(V1), in-{F}(V2,V1), pppp6-{F}(V1,V3,V2) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2815: exists( #21, #2810 ), references = 2, size of lhs = 4:
% 28.30/28.48 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp7-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2818: exists( #20, #2816 ), references = 1, size of lhs = 3:
% 28.30/28.48 pppp24-{F}(V0), pppp3-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2828: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5; #2823 ), references = 1, size of lhs = 1:
% 28.30/28.48 P_empty_set-{F}(V0) | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 #2830: exists( #109, #2823 ), references = 1, size of lhs = 0:
% 28.30/28.48 FALSE | FALSE
% 28.30/28.48 (used 0 times, uses = {})
% 28.30/28.48
% 28.30/28.48 number of learnt formulas = 115
% 28.30/28.48
% 28.30/28.48
% 28.30/28.48 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.30/28.48
% 28.30/28.48 randbase = 1
%------------------------------------------------------------------------------