TSTP Solution File: SEU108+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU108+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:17:12 EDT 2022
% Result : Theorem 15.26s 15.44s
% Output : Refutation 15.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU108+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 18:44:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 15.26/15.44 GeoParameters:
% 15.26/15.44
% 15.26/15.44 tptp_input = 1
% 15.26/15.44 tptp_output = 0
% 15.26/15.44 nonempty = 1
% 15.26/15.44 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.26/15.44 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 15.26/15.44
% 15.26/15.44
% 15.26/15.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.26/15.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.26/15.44
% 15.26/15.44 RuleSystem INPUT:
% 15.26/15.44
% 15.26/15.44 Initial Rules:
% 15.26/15.44 #0: input, references = 3, size of lhs = 2:
% 15.26/15.44 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #1: input, references = 3, size of lhs = 1:
% 15.26/15.44 empty-{F}(V0) | finite-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #2: input, references = 3, size of lhs = 1:
% 15.26/15.44 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #3: input, references = 3, size of lhs = 1:
% 15.26/15.44 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #4: input, references = 3, size of lhs = 3:
% 15.26/15.44 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #5: input, references = 3, size of lhs = 2:
% 15.26/15.44 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #6: input, references = 4, size of lhs = 3:
% 15.26/15.44 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #7: input, references = 3, size of lhs = 6:
% 15.26/15.44 P_powerset-{F}(V0,V2), element-{F}(V1,V2), P_subset_union2-{F}(V0,V3,V1,V4), P_subset_union2-{F}(V0,V1,V3,V5), element-{F}(V3,V2), V4 == V5 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #8: input, references = 4, size of lhs = 4:
% 15.26/15.44 P_powerset-{F}(V0,V2), element-{F}(V1,V2), P_subset_union2-{F}(V0,V3,V1,V4), element-{F}(V3,V2) | element-{T}(V4,V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #9: input, references = 4, size of lhs = 4:
% 15.26/15.44 P_powerset-{F}(V0,V2), element-{F}(V1,V2), P_subset_difference-{F}(V0,V3,V1,V4), element-{F}(V3,V2) | element-{T}(V4,V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #10: input, references = 4, size of lhs = 1:
% 15.26/15.44 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #11: input, references = 5, size of lhs = 1:
% 15.26/15.44 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #12: input, references = 3, size of lhs = 2:
% 15.26/15.44 finite-{F}(V0), P_set_difference-{F}(V0,V1,V2) | finite-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #13: input, references = 4, size of lhs = 2:
% 15.26/15.44 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #14: input, references = 4, size of lhs = 1:
% 15.26/15.44 P_empty_set-{F}(V0) | empty-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #15: input, references = 3, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #16: input, references = 3, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #17: input, references = 3, size of lhs = 4:
% 15.26/15.44 P_empty_set-{F}(V0), finite-{F}(V1), P_set_union2-{F}(V2,V1,V3), finite-{F}(V2) | finite-{T}(V3)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #18: input, references = 4, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #19: input, references = 4, size of lhs = 6:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_subset_union2-{F}(V1,V4,V4,V5), element-{F}(V4,V2), V5 == V4 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #20: input, references = 3, size of lhs = 1:
% 15.26/15.44 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #21: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp2-{F}(V0) | finite-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #22: input, references = 3, size of lhs = 2:
% 15.26/15.44 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #23: input, references = 3, size of lhs = 1:
% 15.26/15.44 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #24: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp4-{F}(V0) | pppp3-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #25: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp3-{F}(V0) | preboolean-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #26: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp3-{F}(V0) | diff_closed-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #27: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp3-{F}(V0) | cap_closed-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #28: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp3-{F}(V0) | cup_closed-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #29: input, references = 3, size of lhs = 2:
% 15.26/15.44 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #30: input, references = 4, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #31: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp16-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #32: input, references = 4, size of lhs = 2:
% 15.26/15.44 pppp5-{F}(V0,V1), empty-{F}(V0) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #33: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #34: input, references = 4, size of lhs = 1:
% 15.26/15.44 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #35: input, references = 5, size of lhs = 1:
% 15.26/15.44 pppp6-{F}(V0) | empty-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #36: input, references = 4, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V2,V3)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #37: input, references = 4, size of lhs = 1:
% 15.26/15.44 pppp8-{F}(V0,V1) | pppp7-{T}(V1,V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #38: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp7-{F}(V0,V1) | finite-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #39: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp7-{F}(V0,V1) | natural-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #40: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp7-{F}(V0,V1) | ordinal-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #41: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp7-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #42: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp7-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #43: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp7-{F}(V0,V1) | one_to_one-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #44: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp7-{F}(V0,V1) | function-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #45: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp7-{F}(V0,V1) | relation-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #46: input, references = 4, size of lhs = 1:
% 15.26/15.44 pppp7-{F}(V0,V1) | empty-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #47: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #48: input, references = 4, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V3,V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #49: input, references = 5, size of lhs = 1:
% 15.26/15.44 pppp9-{F}(V0,V1) | empty-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #50: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #51: input, references = 3, size of lhs = 1:
% 15.26/15.44 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #52: input, references = 3, size of lhs = 2:
% 15.26/15.44 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #53: input, references = 4, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp17-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #54: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp17-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #55: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp11-{F}(V0,V1) | finite-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #56: input, references = 3, size of lhs = 2:
% 15.26/15.44 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #57: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #58: input, references = 4, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp18-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #59: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp18-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #60: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp12-{F}(V0,V1) | finite-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #61: input, references = 3, size of lhs = 2:
% 15.26/15.44 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #62: input, references = 3, size of lhs = 1:
% 15.26/15.44 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #63: input, references = 5, size of lhs = 7:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), element-{F}(V2,V3), P_subset_union2-{F}(V1,V4,V2,V5), P_set_union2-{F}(V4,V2,V6), element-{F}(V4,V3), V5 == V6 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #64: input, references = 4, size of lhs = 7:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), element-{F}(V2,V3), P_subset_difference-{F}(V1,V4,V2,V5), P_set_difference-{F}(V4,V2,V6), element-{F}(V4,V3), V5 == V6 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #65: input, references = 3, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #66: input, references = 3, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), preboolean-{F}(V1) | pppp0-{T}(V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #67: input, references = 4, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), pppp0-{F}(V1) | preboolean-{T}(V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #68: input, references = 3, size of lhs = 6:
% 15.26/15.44 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), P_set_union2-{F}(V3,V2,V4), P_set_difference-{F}(V3,V2,V5), in-{F}(V3,V1) | in-{T}(V4,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #69: input, references = 3, size of lhs = 6:
% 15.26/15.44 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), P_set_union2-{F}(V3,V2,V4), P_set_difference-{F}(V3,V2,V5), in-{F}(V3,V1) | in-{T}(V5,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #70: input, references = 5, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V1), pppp19-{T}(V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #71: input, references = 5, size of lhs = 1:
% 15.26/15.44 pppp19-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #72: input, references = 5, size of lhs = 1:
% 15.26/15.44 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #73: input, references = 5, size of lhs = 1:
% 15.26/15.44 pppp14-{F}(V0,V1) | in-{T}(V1,V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #74: input, references = 5, size of lhs = 5:
% 15.26/15.44 pppp13-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V1,V2,V4), in-{F}(V3,V0), in-{F}(V4,V0) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #75: input, references = 8, size of lhs = 3:
% 15.26/15.44 pppp13-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V1,V2,V4) | in-{T}(V1,V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #76: input, references = 4, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #77: input, references = 8, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #78: input, references = 4, size of lhs = 1:
% 15.26/15.44 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #79: input, references = 4, size of lhs = 3:
% 15.26/15.44 pppp15-{F}(V0), P_powerset-{F}(V0,V1), preboolean-{F}(V1) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #80: input, references = 5, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #81: input, references = 4, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #82: input, references = 3, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #83: input, references = 3, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #84: input, references = 4, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), P_set_difference-{F}(V0,V1,V2), V2 == V0 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #85: input, references = 10, size of lhs = 4:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #86: input, references = 4, size of lhs = 5:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #87: input, references = 7, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #88: input, references = 3, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #89: input, references = 5, size of lhs = 4:
% 15.26/15.44 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #90: input, references = 4, size of lhs = 1:
% 15.26/15.44 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #91: input, references = 8, size of lhs = 2:
% 15.26/15.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #92: input, references = 4, size of lhs = 3:
% 15.26/15.44 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_subset_union2-{T}(V0,V1,V2,V3)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #93: input, references = 4, size of lhs = 3:
% 15.26/15.44 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_subset_difference-{T}(V0,V1,V2,V3)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #94: input, references = 6, size of lhs = 2:
% 15.26/15.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #95: input, references = 4, size of lhs = 0:
% 15.26/15.44 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 number of initial rules = 96
% 15.26/15.44
% 15.26/15.44 Simplifiers:
% 15.26/15.44 #96: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #97: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #98: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #99: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 P_subset_union2-{F}(V0,V1,V2,V3), P_subset_union2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #100: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 P_subset_difference-{F}(V0,V1,V2,V3), P_subset_difference-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #101: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #102: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #103: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #104: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #105: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #106: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #107: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #108: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #109: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #110: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #111: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #112: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #113: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #114: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #115: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #116: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #117: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #118: unsound, references = 3, size of lhs = 3:
% 15.26/15.44 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 number of simplifiers = 23
% 15.26/15.44
% 15.26/15.44 Learnt:
% 15.26/15.44 #120: exists( #91, #18 ), references = 1, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #123: exists( #92, #19 ), references = 1, size of lhs = 4:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V2) | P_subset_union2-{T}(V1,V4,V4,V4)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #124: exists( #92, #63 ), references = 2, size of lhs = 5:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V2), P_set_union2-{F}(V4,V3,V5) | P_subset_union2-{T}(V1,V4,V3,V5)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #126: exists( #93, #64 ), references = 2, size of lhs = 5:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V2), P_set_difference-{F}(V4,V3,V5) | P_subset_difference-{T}(V1,V4,V3,V5)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #134: mergings( V0 == V2; #131 ), references = 1, size of lhs = 1:
% 15.26/15.44 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #136: mergings( V0 == V2; #132 ), references = 1, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #139: exists( #91, #76 ), references = 2, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #141: exists( #91, #6 ), references = 5, size of lhs = 1:
% 15.26/15.44 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #146: exists( #94, #81 ), references = 2, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V1,V0,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #147: exists( #94, #84 ), references = 1, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V0,V1,V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #150: mergings( V0 == V3; #148 ), references = 3, size of lhs = 5:
% 15.26/15.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #158: mergings( V0 == V3; #154 ), references = 3, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #161: mergings( V0 == V3, V2 == V3; #155 ), references = 1, size of lhs = 4:
% 15.26/15.44 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #163: mergings( V2 == V0; #156 ), references = 1, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #172: mergings( V0 == V3; #168 ), references = 1, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #175: mergings( V0 == V3, V1 == V3; #169 ), references = 1, size of lhs = 4:
% 15.26/15.44 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #178: mergings( V0 == V3, V1 == V3; #170 ), references = 1, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #207: mergings( V0 == V3; #203 ), references = 1, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp17-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #210: mergings( V0 == V3, V1 == V3; #204 ), references = 1, size of lhs = 4:
% 15.26/15.44 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp17-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #213: mergings( V0 == V3, V1 == V3; #205 ), references = 1, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp17-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #223: mergings( V0 == V3; #219 ), references = 1, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp18-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #226: mergings( V0 == V3, V1 == V3; #220 ), references = 1, size of lhs = 4:
% 15.26/15.44 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #229: mergings( V0 == V3, V1 == V3; #221 ), references = 1, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #248: mergings( V0 == V4; #246 ), references = 1, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V2,V0)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #274: mergings( V0 == V4; #271 ), references = 1, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp9-{T}(V0,V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #276: mergings( V0 == V4; #272 ), references = 1, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp9-{T}(V1,V3)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #309: mergings( V0 == V2; #307 ), references = 1, size of lhs = 3:
% 15.26/15.44 P_empty_set-{F}(V0), pppp15-{F}(V1), P_powerset-{F}(V1,V2) | pppp19-{T}(V2)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #488: exists( #10, #484 ), references = 1, size of lhs = 5:
% 15.26/15.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp5-{F}(V3,V4) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #490: mergings( V2 == V5; #487 ), references = 2, size of lhs = 5:
% 15.26/15.44 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #498: mergings( V2 == V3, V3 == V7; #495 ), references = 1, size of lhs = 6:
% 15.26/15.44 pppp19-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V0,V3), P_empty_set-{F}(V4) | pppp14-{T}(V0,V4)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #629: exists( #72, #627 ), references = 1, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), pppp14-{F}(V1,V0) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #635: mergings( V0 == V2, V2 == V3, V3 == V7; #631 ), references = 1, size of lhs = 5:
% 15.26/15.44 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)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #792: mergings( V3 == V4, V4 == V5, V5 == V6; #786 ), references = 1, size of lhs = 9:
% 15.26/15.44 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}(V4,V5), in-{F}(V5,V6), pppp13-{F}(V4,V6,V7), P_set_union2-{F}(V6,V7,V8) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #796: mergings( V3 == V4, V4 == V5, V5 == V10; #787 ), references = 1, size of lhs = 10:
% 15.26/15.44 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), pppp13-{F}(V3,V7,V8), P_set_union2-{F}(V7,V8,V9) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #800: mergings( V3 == V4, V4 == V5, V5 == V6; #788 ), references = 1, size of lhs = 12:
% 15.26/15.44 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V7), pppp13-{F}(V7,V3,V8), P_set_union2-{F}(V3,V8,V9), element-{F}(V10,V5), P_subset_union2-{F}(V4,V10,V1,V11), P_set_union2-{F}(V10,V1,V12), V11 == V12 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #810: mergings( V3 == V4, V4 == V5, V5 == V6; #804 ), references = 1, size of lhs = 8:
% 15.26/15.44 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}(V4,V5), in-{F}(V5,V6), pppp13-{F}(V4,V6,V7) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #814: mergings( V3 == V4, V4 == V5, V5 == V10; #805 ), references = 1, size of lhs = 9:
% 15.26/15.44 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), pppp13-{F}(V3,V7,V8) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #818: mergings( V3 == V4, V4 == V5, V5 == V6; #806 ), references = 1, size of lhs = 11:
% 15.26/15.44 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V7), pppp13-{F}(V7,V3,V8), element-{F}(V9,V5), P_subset_union2-{F}(V4,V9,V1,V10), P_set_union2-{F}(V9,V1,V11), V10 == V11 | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #927: mergings( V12 == V13, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #921 ), references = 1, size of lhs = 9:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V2 == V0, element-{F}(V3,V2), P_powerset-{F}(V4,V2), element-{F}(V5,V2), pppp13-{F}(V2,V6,V5), P_set_union2-{F}(V3,V6,V7), P_set_union2-{F}(V6,V5,V7) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #934: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #929 ), references = 1, size of lhs = 6:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V2 == V0, P_powerset-{F}(V3,V2), element-{F}(V4,V2), pppp13-{F}(V2,V5,V4) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #940: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #935 ), references = 2, size of lhs = 6:
% 15.26/15.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V2 == V0, pppp14-{F}(V2,V3), element-{F}(V3,V2), P_powerset-{F}(V4,V2) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #947: mergings( V2 == V3; #945 ), references = 1, size of lhs = 5:
% 15.26/15.44 pppp19-{F}(V0), P_empty_set-{F}(V1), V0 == V1, P_powerset-{F}(V2,V0), P_powerset-{F}(V3,V0) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #953: mergings( V2 == V3, V3 == V4, V4 == V5; #949 ), references = 1, size of lhs = 2:
% 15.26/15.44 pppp15-{F}(V0), P_empty_set-{F}(V1) | P_powerset-{T}(V0,V1)
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #960: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5; #955 ), references = 1, size of lhs = 2:
% 15.26/15.44 P_empty_set-{F}(V0), empty-{F}(V0) | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 #963: exists( #95, #961 ), references = 1, size of lhs = 0:
% 15.26/15.44 FALSE | FALSE
% 15.26/15.44 (used 0 times, uses = {})
% 15.26/15.44
% 15.26/15.44 number of learnt formulas = 45
% 15.26/15.44
% 15.26/15.44
% 15.26/15.44 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.26/15.44
% 15.26/15.44 randbase = 1
%------------------------------------------------------------------------------