TSTP Solution File: SEU103+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU103+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 18.06s 18.24s
% Output : Refutation 18.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU103+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 18:50:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 18.06/18.24 GeoParameters:
% 18.06/18.24
% 18.06/18.24 tptp_input = 1
% 18.06/18.24 tptp_output = 0
% 18.06/18.24 nonempty = 1
% 18.06/18.24 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.06/18.24 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 18.06/18.24
% 18.06/18.24
% 18.06/18.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.06/18.24 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.06/18.24
% 18.06/18.24 RuleSystem INPUT:
% 18.06/18.24
% 18.06/18.24 Initial Rules:
% 18.06/18.24 #0: input, references = 8, size of lhs = 2:
% 18.06/18.24 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #1: input, references = 3, size of lhs = 1:
% 18.06/18.24 empty-{F}(V0) | finite-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #2: input, references = 3, size of lhs = 1:
% 18.06/18.24 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #3: input, references = 3, size of lhs = 1:
% 18.06/18.24 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #4: input, references = 3, size of lhs = 3:
% 18.06/18.24 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #5: input, references = 3, size of lhs = 2:
% 18.06/18.24 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #6: input, references = 3, size of lhs = 6:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), P_prebool_union2-{F}(V0,V2,V1,V3), P_prebool_union2-{F}(V0,V1,V2,V4), element-{F}(V2,V0), V3 == V4 | empty-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #7: input, references = 4, size of lhs = 3:
% 18.06/18.24 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #8: input, references = 4, size of lhs = 3:
% 18.06/18.24 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V3), V2 == V3 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #9: input, references = 7, size of lhs = 5:
% 18.06/18.24 P_symmetric_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V3), P_set_difference-{F}(V1,V0,V4), P_set_union2-{F}(V3,V4,V5), V2 == V5 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #10: input, references = 4, size of lhs = 4:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), P_prebool_union2-{F}(V0,V2,V1,V3), element-{F}(V2,V0) | empty-{T}(V0), element-{T}(V3,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #11: input, references = 4, size of lhs = 4:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), P_prebool_difference-{F}(V0,V2,V1,V3), element-{F}(V2,V0) | empty-{T}(V0), element-{T}(V3,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #12: input, references = 6, size of lhs = 1:
% 18.06/18.24 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #13: input, references = 7, size of lhs = 1:
% 18.06/18.24 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #14: input, references = 3, size of lhs = 2:
% 18.06/18.24 finite-{F}(V0), P_set_difference-{F}(V0,V1,V2) | finite-{T}(V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #15: input, references = 3, size of lhs = 3:
% 18.06/18.24 finite-{F}(V0), P_symmetric_difference-{F}(V1,V0,V2), finite-{F}(V1) | finite-{T}(V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #16: input, references = 5, size of lhs = 2:
% 18.06/18.24 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #17: input, references = 4, size of lhs = 1:
% 18.06/18.24 P_empty_set-{F}(V0) | empty-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #18: input, references = 4, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #19: input, references = 5, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #20: input, references = 3, size of lhs = 4:
% 18.06/18.24 P_empty_set-{F}(V0), finite-{F}(V1), P_set_union2-{F}(V2,V1,V3), finite-{F}(V2) | finite-{T}(V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #21: input, references = 6, size of lhs = 6:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), element-{F}(V2,V1), P_prebool_union2-{F}(V1,V3,V3,V4), element-{F}(V3,V1), V4 == V3 | empty-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #22: input, references = 4, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #23: input, references = 3, size of lhs = 1:
% 18.06/18.24 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #24: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp1-{F}(V0) | finite-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #25: input, references = 3, size of lhs = 2:
% 18.06/18.24 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #26: input, references = 3, size of lhs = 1:
% 18.06/18.24 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #27: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp3-{F}(V0) | pppp2-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #28: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp2-{F}(V0) | preboolean-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #29: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp2-{F}(V0) | diff_closed-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #30: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp2-{F}(V0) | cap_closed-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #31: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp2-{F}(V0) | cup_closed-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #32: input, references = 6, size of lhs = 2:
% 18.06/18.24 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #33: input, references = 4, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp15-{T}(V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #34: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp15-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #35: input, references = 3, size of lhs = 2:
% 18.06/18.24 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #36: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #37: input, references = 4, size of lhs = 1:
% 18.06/18.24 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #38: input, references = 5, size of lhs = 1:
% 18.06/18.24 pppp5-{F}(V0) | empty-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #39: input, references = 4, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp7-{T}(V2,V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #40: input, references = 4, size of lhs = 1:
% 18.06/18.24 pppp7-{F}(V0,V1) | pppp6-{T}(V1,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #41: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp6-{F}(V0,V1) | finite-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #42: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp6-{F}(V0,V1) | natural-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #43: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp6-{F}(V0,V1) | ordinal-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #44: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp6-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #45: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp6-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #46: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp6-{F}(V0,V1) | one_to_one-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #47: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp6-{F}(V0,V1) | function-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #48: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp6-{F}(V0,V1) | relation-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #49: input, references = 4, size of lhs = 1:
% 18.06/18.24 pppp6-{F}(V0,V1) | empty-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #50: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #51: input, references = 4, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V3,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #52: input, references = 5, size of lhs = 1:
% 18.06/18.24 pppp8-{F}(V0,V1) | empty-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #53: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #54: input, references = 3, size of lhs = 1:
% 18.06/18.24 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #55: input, references = 3, size of lhs = 2:
% 18.06/18.24 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #56: input, references = 4, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #57: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp16-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #58: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp10-{F}(V0,V1) | finite-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #59: input, references = 3, size of lhs = 2:
% 18.06/18.24 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #60: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #61: input, references = 4, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp17-{T}(V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #62: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp17-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #63: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp11-{F}(V0,V1) | finite-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #64: input, references = 3, size of lhs = 2:
% 18.06/18.24 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #65: input, references = 3, size of lhs = 1:
% 18.06/18.24 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #66: input, references = 6, size of lhs = 7:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), element-{F}(V2,V1), P_prebool_union2-{F}(V1,V3,V2,V4), P_set_union2-{F}(V3,V2,V5), element-{F}(V3,V1), V4 == V5 | empty-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #67: input, references = 6, size of lhs = 7:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), element-{F}(V2,V1), P_prebool_difference-{F}(V1,V3,V2,V4), P_set_difference-{F}(V3,V2,V5), element-{F}(V3,V1), V4 == V5 | empty-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #68: input, references = 3, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #69: input, references = 4, size of lhs = 1:
% 18.06/18.24 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #70: input, references = 5, size of lhs = 1:
% 18.06/18.24 pppp14-{F}(V0) | EXISTS V1: pppp13-{T}(V1,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #71: input, references = 4, size of lhs = 1:
% 18.06/18.24 pppp14-{F}(V0) | preboolean-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #72: input, references = 4, size of lhs = 2:
% 18.06/18.24 pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #73: input, references = 6, size of lhs = 1:
% 18.06/18.24 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V0,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #74: input, references = 6, size of lhs = 1:
% 18.06/18.24 pppp13-{F}(V0,V1) | element-{T}(V0,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #75: input, references = 6, size of lhs = 3:
% 18.06/18.24 pppp12-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V3), element-{F}(V3,V2) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #76: input, references = 13, size of lhs = 2:
% 18.06/18.24 pppp12-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V3) | element-{T}(V0,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #77: input, references = 4, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #78: input, references = 3, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #79: input, references = 5, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #80: input, references = 4, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #81: input, references = 3, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #82: input, references = 3, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #83: input, references = 4, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_set_difference-{F}(V0,V1,V2), V2 == V0 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #84: input, references = 11, size of lhs = 4:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #85: input, references = 4, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_symmetric_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #86: input, references = 5, size of lhs = 5:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #87: input, references = 11, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #88: input, references = 4, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #89: input, references = 8, size of lhs = 4:
% 18.06/18.24 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #90: input, references = 3, size of lhs = 1:
% 18.06/18.24 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #91: input, references = 5, size of lhs = 3:
% 18.06/18.24 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_prebool_union2-{T}(V0,V1,V2,V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #92: input, references = 7, size of lhs = 2:
% 18.06/18.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #93: input, references = 11, size of lhs = 2:
% 18.06/18.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_symmetric_difference-{T}(V0,V1,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #94: input, references = 19, size of lhs = 2:
% 18.06/18.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #95: input, references = 4, size of lhs = 3:
% 18.06/18.24 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_prebool_difference-{T}(V0,V1,V2,V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #96: input, references = 4, size of lhs = 0:
% 18.06/18.24 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 number of initial rules = 97
% 18.06/18.24
% 18.06/18.24 Simplifiers:
% 18.06/18.24 #97: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #98: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #99: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 P_prebool_union2-{F}(V0,V1,V2,V3), P_prebool_union2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #100: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #101: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #102: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #103: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 P_prebool_difference-{F}(V0,V1,V2,V3), P_prebool_difference-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #104: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #105: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #106: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #107: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #108: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #109: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #110: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #111: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #112: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #113: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #114: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #115: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #116: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #117: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #118: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V2), V1 == V4 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #119: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #120: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #121: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V1 == V3 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #122: unsound, references = 3, size of lhs = 3:
% 18.06/18.24 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 number of simplifiers = 26
% 18.06/18.24
% 18.06/18.24 Learnt:
% 18.06/18.24 #124: exists( #92, #22 ), references = 2, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #126: exists( #92, #77 ), references = 3, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #134: mergings( V0 == V2; #131 ), references = 1, size of lhs = 1:
% 18.06/18.24 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #136: mergings( V0 == V2; #132 ), references = 1, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #139: exists( #94, #137 ), references = 1, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), P_symmetric_difference-{F}(V1,V1,V2) | P_set_difference-{T}(V1,V1,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #141: exists( #92, #7 ), references = 2, size of lhs = 1:
% 18.06/18.24 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #143: exists( #93, #85 ), references = 2, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), #-{F} V1 | P_symmetric_difference-{T}(V1,V0,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #145: exists( #93, #8 ), references = 11, size of lhs = 1:
% 18.06/18.24 P_symmetric_difference-{F}(V0,V1,V2) | P_symmetric_difference-{T}(V1,V0,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #162: exists( #94, #80 ), references = 1, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V1,V0,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #164: exists( #94, #83 ), references = 1, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V0,V1,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #171: exists( #95, #165 ), references = 7, size of lhs = 6:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), pppp2-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_set_difference-{F}(V3,V2,V4) | P_prebool_difference-{T}(V1,V3,V2,V4)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #173: mergings( V4 == V6; #169 ), references = 5, size of lhs = 6:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_difference-{F}(V2,V1,V3), P_empty_set-{F}(V4), V0 == V4 | P_prebool_difference-{T}(V0,V2,V1,V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #176: mergings( V4 == V6, V0 == V6; #170 ), references = 1, size of lhs = 7:
% 18.06/18.24 preboolean-{F}(V0), P_empty_set-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_difference-{F}(V2,V1,V3), empty-{F}(V4), V0 == V4 | P_prebool_difference-{T}(V0,V2,V1,V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #186: exists( #91, #180 ), references = 1, size of lhs = 5:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_powerset-{F}(V4,V1) | P_prebool_union2-{T}(V1,V3,V3,V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #187: exists( #91, #181 ), references = 1, size of lhs = 5:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), pppp2-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1) | P_prebool_union2-{T}(V1,V3,V3,V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #189: mergings( V3 == V5; #185 ), references = 1, size of lhs = 5:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_empty_set-{F}(V3), V0 == V3 | P_prebool_union2-{T}(V0,V2,V2,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #194: mergings( V0 == V3; #190 ), references = 1, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp15-{T}(V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #197: mergings( V0 == V3, V1 == V3; #191 ), references = 1, size of lhs = 4:
% 18.06/18.24 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp15-{T}(V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #199: mergings( V1 == V0; #192 ), references = 1, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), pppp2-{F}(V0), P_powerset-{F}(V0,V1) | pppp15-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #204: mergings( V0 == V3; #200 ), references = 1, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #207: mergings( V0 == V3, V1 == V3; #201 ), references = 1, size of lhs = 4:
% 18.06/18.24 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #209: mergings( V1 == V0; #202 ), references = 1, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), pppp2-{F}(V0), P_powerset-{F}(V0,V1) | pppp16-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #214: mergings( V0 == V3; #210 ), references = 1, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp17-{T}(V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #217: mergings( V0 == V3, V1 == V3; #211 ), references = 1, size of lhs = 4:
% 18.06/18.24 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp17-{T}(V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #219: mergings( V1 == V0; #212 ), references = 1, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), pppp1-{F}(V0), P_powerset-{F}(V0,V1) | pppp17-{T}(V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #226: mergings( V0 == V3; #224 ), references = 3, size of lhs = 5:
% 18.06/18.24 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #236: disj( #79, input ), references = 5, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #238: mergings( V0 == V3; #234 ), references = 6, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #241: mergings( V0 == V3, V2 == V3; #235 ), references = 1, size of lhs = 4:
% 18.06/18.24 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #258: mergings( V0 == V4; #256 ), references = 1, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp7-{T}(V2,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #269: disj( #11, input ), references = 9, size of lhs = 5:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_prebool_difference-{F}(V0,V2,V1,V3), P_powerset-{F}(V4,V0) | element-{T}(V3,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #270: disj( #11, input ), references = 1, size of lhs = 5:
% 18.06/18.24 preboolean-{F}(V0), pppp2-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_prebool_difference-{F}(V0,V2,V1,V3) | element-{T}(V3,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #271: disj( #11, input ), references = 3, size of lhs = 6:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_prebool_difference-{F}(V0,V2,V1,V3), P_empty_set-{F}(V4), V0 == V4 | element-{T}(V3,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #292: mergings( V0 == V4; #289 ), references = 1, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V0,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #294: mergings( V0 == V4; #290 ), references = 1, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp8-{T}(V1,V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #302: exists( #92, #9 ), references = 9, size of lhs = 3:
% 18.06/18.24 P_symmetric_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V3), P_set_difference-{F}(V1,V0,V4) | P_set_union2-{T}(V3,V4,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #328: mergings( V3 == V5; #326 ), references = 1, size of lhs = 5:
% 18.06/18.24 empty-{F}(V0), P_empty_set-{F}(V1), P_symmetric_difference-{F}(V2,V3,V0), P_set_difference-{F}(V2,V3,V4), in-{F}(V5,V4) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #330: mergings( V3 == V5; #324 ), references = 2, size of lhs = 4:
% 18.06/18.24 empty-{F}(V0), P_empty_set-{F}(V1), P_symmetric_difference-{F}(V2,V3,V0), P_set_difference-{F}(V2,V3,V4) | P_set_difference-{T}(V3,V2,V1)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #332: mergings( V3 == V5; #325 ), references = 1, size of lhs = 5:
% 18.06/18.24 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_symmetric_difference-{F}(V3,V4,V0), P_set_difference-{F}(V3,V4,V5) | P_set_difference-{T}(V4,V3,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #339: exists( #91, #333 ), references = 5, size of lhs = 6:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_set_union2-{F}(V3,V2,V4), P_powerset-{F}(V5,V1) | P_prebool_union2-{T}(V1,V3,V2,V4)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #340: exists( #91, #334 ), references = 1, size of lhs = 6:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), pppp2-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_set_union2-{F}(V3,V2,V4) | P_prebool_union2-{T}(V1,V3,V2,V4)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #342: mergings( V4 == V6; #338 ), references = 2, size of lhs = 6:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_union2-{F}(V2,V1,V3), P_empty_set-{F}(V4), V0 == V4 | P_prebool_union2-{T}(V0,V2,V1,V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #380: mergings( V2 == V5; #376 ), references = 4, size of lhs = 5:
% 18.06/18.24 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #383: mergings( V2 == V5, V0 == V5; #378 ), references = 1, size of lhs = 6:
% 18.06/18.24 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), V2 == V3 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #391: mergings( V2 == V4; #387 ), references = 1, size of lhs = 4:
% 18.06/18.24 pppp14-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V0), P_empty_set-{F}(V2) | pppp13-{T}(V2,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #393: mergings( V2 == V4; #389 ), references = 1, size of lhs = 5:
% 18.06/18.24 pppp14-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V0), P_empty_set-{F}(V2), empty-{F}(V3) | pppp13-{T}(V3,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #409: exists( #73, #405 ), references = 1, size of lhs = 2:
% 18.06/18.24 P_empty_set-{F}(V0), pppp13-{F}(V0,V1) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #422: exists( #12, #420 ), references = 1, size of lhs = 3:
% 18.06/18.24 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp0-{T}(V1,V2)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #448: exists( #94, #446 ), references = 1, size of lhs = 3:
% 18.06/18.24 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V0), P_symmetric_difference-{F}(V2,V1,V3) | P_set_difference-{T}(V2,V1,V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #493: disj( #10, input ), references = 5, size of lhs = 5:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_prebool_union2-{F}(V0,V2,V1,V3), P_powerset-{F}(V4,V0) | element-{T}(V3,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #494: disj( #10, input ), references = 1, size of lhs = 5:
% 18.06/18.24 preboolean-{F}(V0), pppp2-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_prebool_union2-{F}(V0,V2,V1,V3) | element-{T}(V3,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #495: disj( #10, input ), references = 2, size of lhs = 6:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_prebool_union2-{F}(V0,V2,V1,V3), P_empty_set-{F}(V4), V0 == V4 | element-{T}(V3,V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #524: mergings( V3 == V5, V5 == V9; #521 ), references = 2, size of lhs = 12:
% 18.06/18.24 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V0), P_powerset-{F}(V3,V0), P_powerset-{F}(V4,V0), P_powerset-{F}(V5,V0), P_empty_set-{F}(V6), P_powerset-{F}(V7,V0), P_set_difference-{F}(V1,V2,V8), element-{F}(V8,V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #531: mergings( V3 == V9; #529 ), references = 1, size of lhs = 11:
% 18.06/18.24 pppp2-{F}(V0), preboolean-{F}(V0), P_powerset-{F}(V1,V0), element-{F}(V2,V0), element-{F}(V3,V0), P_symmetric_difference-{F}(V2,V3,V0), P_powerset-{F}(V4,V0), P_powerset-{F}(V5,V0), P_powerset-{F}(V6,V0), P_empty_set-{F}(V7), P_powerset-{F}(V8,V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #545: mergings( V3 == V5, V5 == V10; #542 ), references = 2, size of lhs = 13:
% 18.06/18.24 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_powerset-{F}(V3,V0), P_powerset-{F}(V4,V0), in-{F}(V0,V5), P_symmetric_difference-{F}(V1,V2,V5), P_powerset-{F}(V6,V0), P_empty_set-{F}(V7), P_powerset-{F}(V8,V0), P_set_difference-{F}(V1,V2,V9), element-{F}(V9,V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #554: mergings( V3 == V10; #552 ), references = 1, size of lhs = 12:
% 18.06/18.24 pppp2-{F}(V0), preboolean-{F}(V0), P_powerset-{F}(V1,V0), element-{F}(V2,V0), element-{F}(V3,V0), P_powerset-{F}(V4,V0), P_powerset-{F}(V5,V0), in-{F}(V0,V6), P_symmetric_difference-{F}(V2,V3,V6), P_powerset-{F}(V7,V0), P_empty_set-{F}(V8), P_powerset-{F}(V9,V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #559: exists( #94, #557 ), references = 1, size of lhs = 4:
% 18.06/18.24 empty-{F}(V0), P_empty_set-{F}(V1), P_symmetric_difference-{F}(V2,V3,V0), P_symmetric_difference-{F}(V3,V2,V4) | P_set_difference-{T}(V2,V3,V4)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #607: exists( #93, #605 ), references = 1, size of lhs = 4:
% 18.06/18.24 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, pppp12-{F}(V2,V3,V1) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #635: mergings( V3 == V4; #632 ), references = 1, size of lhs = 7:
% 18.06/18.24 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), pppp12-{F}(V6,V7,V3) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #637: mergings( V3 == V7; #633 ), references = 2, size of lhs = 7:
% 18.06/18.24 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), in-{F}(V4,V5), V4 == V3, pppp12-{F}(V5,V6,V2) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #669: mergings( V2 == V6; #667 ), references = 1, size of lhs = 6:
% 18.06/18.24 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), pppp12-{F}(V4,V5,V2), V4 == V3 | pppp0-{T}(V4,V3)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #749: mergings( V3 == V5, V5 == V9, V9 == V10; #745 ), references = 2, size of lhs = 15:
% 18.06/18.24 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_powerset-{F}(V3,V0), P_powerset-{F}(V4,V0), P_powerset-{F}(V5,V0), P_empty_set-{F}(V6), P_symmetric_difference-{F}(V1,V2,V7), P_set_difference-{F}(V1,V2,V8), element-{F}(V8,V0), P_powerset-{F}(V9,V0), P_powerset-{F}(V10,V9), in-{F}(V9,V11), in-{F}(V11,V7) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #756: mergings( V3 == V9; #754 ), references = 1, size of lhs = 14:
% 18.06/18.24 pppp2-{F}(V0), preboolean-{F}(V0), P_powerset-{F}(V1,V0), element-{F}(V2,V0), element-{F}(V3,V0), P_powerset-{F}(V4,V0), P_powerset-{F}(V5,V0), P_powerset-{F}(V6,V0), P_empty_set-{F}(V7), P_symmetric_difference-{F}(V2,V3,V8), P_powerset-{F}(V9,V0), P_powerset-{F}(V10,V9), in-{F}(V9,V11), in-{F}(V11,V8) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #803: mergings( V3 == V4; #801 ), references = 2, size of lhs = 13:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), V1 == V0, element-{F}(V2,V1), element-{F}(V3,V1), P_powerset-{F}(V4,V1), P_powerset-{F}(V5,V1), P_powerset-{F}(V6,V1), P_set_difference-{F}(V2,V3,V7), element-{F}(V7,V1), P_symmetric_difference-{F}(V2,V3,V8), pppp12-{F}(V9,V10,V1), P_symmetric_difference-{F}(V9,V10,V8) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #810: mergings( V3 == V4; #808 ), references = 2, size of lhs = 12:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), V1 == V0, P_powerset-{F}(V2,V1), element-{F}(V3,V1), element-{F}(V4,V1), P_powerset-{F}(V5,V1), P_powerset-{F}(V6,V1), P_powerset-{F}(V7,V1), P_symmetric_difference-{F}(V3,V4,V8), pppp12-{F}(V9,V10,V1), P_symmetric_difference-{F}(V9,V10,V8) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #814: mergings( V3 == V4; #812 ), references = 2, size of lhs = 10:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), V1 == V0, P_powerset-{F}(V2,V1), element-{F}(V3,V1), element-{F}(V4,V1), pppp12-{F}(V4,V3,V1), P_powerset-{F}(V5,V1), P_powerset-{F}(V6,V1), P_powerset-{F}(V7,V1) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #891: exists( #93, #888 ), references = 1, size of lhs = 9:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), V1 == V0, P_powerset-{F}(V2,V1), element-{F}(V3,V1), P_powerset-{F}(V4,V1), P_powerset-{F}(V5,V1), P_powerset-{F}(V6,V1), pppp12-{F}(V7,V3,V1) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #893: mergings( V6 == V0; #890 ), references = 1, size of lhs = 9:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), V1 == V0, P_powerset-{F}(V2,V1), element-{F}(V3,V1), pppp12-{F}(V4,V3,V1), P_powerset-{F}(V5,V1), P_powerset-{F}(V6,V1), P_powerset-{F}(V7,V1) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #896: exists( #73, #889 ), references = 1, size of lhs = 9:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), V1 == V0, pppp13-{F}(V2,V1), element-{F}(V2,V1), P_powerset-{F}(V3,V1), P_powerset-{F}(V4,V1), P_powerset-{F}(V5,V1), P_powerset-{F}(V6,V1) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #897: exists( #73, #890 ), references = 1, size of lhs = 9:
% 18.06/18.24 P_empty_set-{F}(V0), preboolean-{F}(V1), V1 == V0, pppp13-{F}(V2,V1), element-{F}(V2,V1), P_powerset-{F}(V3,V1), P_powerset-{F}(V4,V1), P_powerset-{F}(V5,V1), P_powerset-{F}(V6,V1) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #973: mergings( V3 == V4, V4 == V5; #968 ), references = 1, size of lhs = 6:
% 18.06/18.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0, pppp12-{F}(V2,V5,V4) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #977: mergings( V3 == V4, V4 == V5, V5 == V6; #969 ), references = 1, size of lhs = 10:
% 18.06/18.24 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), element-{F}(V5,V4), V5 == V0, in-{F}(V6,V7), in-{F}(V7,V8), pppp12-{F}(V8,V9,V5) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #981: mergings( V3 == V4, V4 == V5, V5 == V10; #970 ), references = 1, size of lhs = 10:
% 18.06/18.24 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_empty_set-{F}(V4), element-{F}(V5,V3), V5 == V4, in-{F}(V6,V7), V6 == V4, pppp12-{F}(V7,V8,V5) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #1022: mergings( V3 == V4, V4 == V5, V5 == V7; #1018 ), references = 1, size of lhs = 10:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_empty_set-{F}(V3), V0 == V3, P_set_difference-{F}(V1,V2,V4), element-{F}(V4,V0), P_symmetric_difference-{F}(V1,V2,V5), pppp12-{F}(V6,V7,V0), P_symmetric_difference-{F}(V6,V7,V5) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #1031: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #1025 ), references = 1, size of lhs = 8:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_empty_set-{F}(V3), V0 == V3, P_symmetric_difference-{F}(V1,V2,V4), pppp12-{F}(V5,V6,V0), P_symmetric_difference-{F}(V5,V6,V4) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #1040: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #1034 ), references = 1, size of lhs = 5:
% 18.06/18.24 preboolean-{F}(V0), element-{F}(V1,V0), P_empty_set-{F}(V2), V0 == V2, pppp12-{F}(V3,V1,V0) | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #1047: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1041 ), references = 1, size of lhs = 5:
% 18.06/18.24 preboolean-{F}(V0), pppp13-{F}(V1,V0), element-{F}(V1,V0), P_empty_set-{F}(V2), V0 == V2 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #1055: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1049 ), references = 1, size of lhs = 4:
% 18.06/18.24 pppp14-{F}(V0), preboolean-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #1064: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1057 ), references = 1, size of lhs = 1:
% 18.06/18.24 P_empty_set-{F}(V0) | pppp14-{T}(V0)
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 #1069: exists( #96, #1067 ), references = 1, size of lhs = 0:
% 18.06/18.24 FALSE | FALSE
% 18.06/18.24 (used 0 times, uses = {})
% 18.06/18.24
% 18.06/18.24 number of learnt formulas = 80
% 18.06/18.24
% 18.06/18.24
% 18.06/18.24 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.06/18.24
% 18.06/18.24 randbase = 1
%------------------------------------------------------------------------------