%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU172+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:17:24 EDT 2022
% Result : Theorem 230.14s 230.36s
% Output : Refutation 230.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU172+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 19:28:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 230.14/230.36 GeoParameters:
% 230.14/230.36
% 230.14/230.36 tptp_input = 1
% 230.14/230.36 tptp_output = 0
% 230.14/230.36 nonempty = 1
% 230.14/230.36 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 230.14/230.36 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 230.14/230.36
% 230.14/230.36
% 230.14/230.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 230.14/230.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 230.14/230.36
% 230.14/230.36 RuleSystem INPUT:
% 230.14/230.36
% 230.14/230.36 Initial Rules:
% 230.14/230.36 #0: input, references = 3, size of lhs = 1:
% 230.14/230.36 P_empty_set-{F}(V0) | empty-{T}(V0)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #1: input, references = 4, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #2: input, references = 4, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), P_set_difference-{F}(V0,V1,V2), V2 == V0 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #3: input, references = 4, size of lhs = 2:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp11-{T}(V2)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #4: input, references = 3, size of lhs = 1:
% 230.14/230.36 pppp11-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #5: input, references = 3, size of lhs = 2:
% 230.14/230.36 pppp2-{F}(V0,V1), empty-{F}(V0) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #6: input, references = 3, size of lhs = 1:
% 230.14/230.36 pppp2-{F}(V0,V1) | element-{T}(V0,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #7: input, references = 4, size of lhs = 2:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp3-{T}(V3,V2)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #8: input, references = 5, size of lhs = 1:
% 230.14/230.36 pppp3-{F}(V0,V1) | empty-{T}(V0)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #9: input, references = 3, size of lhs = 1:
% 230.14/230.36 pppp3-{F}(V0,V1) | element-{T}(V0,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #10: input, references = 4, size of lhs = 1:
% 230.14/230.36 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #11: input, references = 5, size of lhs = 1:
% 230.14/230.36 pppp4-{F}(V0) | empty-{T}(V0)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #12: input, references = 3, size of lhs = 1:
% 230.14/230.36 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #13: input, references = 3, size of lhs = 2:
% 230.14/230.36 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #14: input, references = 5, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #15: input, references = 5, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #16: input, references = 5, size of lhs = 6:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), P_subset_complement-{F}(V1,V2,V4), P_subset_complement-{F}(V1,V4,V5), element-{F}(V2,V3), V5 == V2 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #17: input, references = 7, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #18: input, references = 4, size of lhs = 2:
% 230.14/230.36 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp6-{T}(V1,V2)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #19: input, references = 4, size of lhs = 1:
% 230.14/230.36 pppp6-{F}(V0,V1) | element-{T}(V1,V0)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #20: input, references = 6, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), P_subset_complement-{F}(V1,V2,V4), element-{F}(V2,V3) | element-{T}(V4,V3)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #21: input, references = 3, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #22: input, references = 4, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #23: input, references = 6, size of lhs = 6:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), P_subset_complement-{F}(V1,V2,V4), P_set_difference-{F}(V1,V2,V5), element-{F}(V2,V3), V4 == V5 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #24: input, references = 4, size of lhs = 1:
% 230.14/230.36 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #25: input, references = 4, size of lhs = 1:
% 230.14/230.36 pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #26: input, references = 4, size of lhs = 1:
% 230.14/230.36 pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V2,V0,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #27: input, references = 4, size of lhs = 1:
% 230.14/230.36 pppp8-{F}(V0,V1) | in-{T}(V0,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #28: input, references = 4, size of lhs = 3:
% 230.14/230.36 pppp7-{F}(V0,V1,V2), P_powerset-{F}(V0,V3), P_subset_complement-{F}(V0,V2,V4) | in-{T}(V1,V4)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #29: input, references = 5, size of lhs = 3:
% 230.14/230.36 pppp7-{F}(V0,V1,V2), P_powerset-{F}(V0,V3), P_subset_complement-{F}(V0,V2,V4) | element-{T}(V2,V3)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #30: input, references = 8, size of lhs = 2:
% 230.14/230.36 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V4) | pppp1-{T}(V1,V2,V4)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #31: input, references = 3, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V4), pppp1-{F}(V1,V2,V3), V3 == V4 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #32: input, references = 15, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp0-{T}(V1,V2,V4)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #33: input, references = 6, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3), pppp0-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #34: input, references = 4, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp1-{T}(V1,V2,V3), pppp12-{T}(V1,V2,V3)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #35: input, references = 5, size of lhs = 1:
% 230.14/230.36 pppp12-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #36: input, references = 6, size of lhs = 3:
% 230.14/230.36 pppp10-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #37: input, references = 8, size of lhs = 1:
% 230.14/230.36 pppp10-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp0-{T}(V0,V1,V3)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #38: input, references = 17, size of lhs = 2:
% 230.14/230.36 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3) | in-{T}(V3,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #39: input, references = 7, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3), in-{F}(V3,V2) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #40: input, references = 8, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), #-{F} V2, in-{F}(V3,V1) | pppp0-{T}(V1,V2,V3), in-{T}(V3,V2)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #41: input, references = 4, size of lhs = 0:
% 230.14/230.36 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #42: input, references = 11, size of lhs = 2:
% 230.14/230.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #43: input, references = 4, size of lhs = 1:
% 230.14/230.36 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #44: input, references = 6, size of lhs = 2:
% 230.14/230.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_subset_complement-{T}(V0,V1,V2)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 number of initial rules = 45
% 230.14/230.36
% 230.14/230.36 Simplifiers:
% 230.14/230.36 #45: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #46: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #47: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #48: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 P_subset_complement-{F}(V0,V1,V2), P_subset_complement-{F}(V0,V1,V5), V2 == V5 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #49: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #50: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #51: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #52: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #53: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #54: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #55: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V5), V2 == V5 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #56: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V1 == V4 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #57: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #58: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #59: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #60: unsound, references = 3, size of lhs = 3:
% 230.14/230.36 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 number of simplifiers = 16
% 230.14/230.36
% 230.14/230.36 Learnt:
% 230.14/230.36 #62: exists( #42, #1 ), references = 2, size of lhs = 2:
% 230.14/230.36 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V1,V0,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #64: exists( #42, #2 ), references = 2, size of lhs = 2:
% 230.14/230.36 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V0,V1,V0)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #67: mergings( V0 == V4; #65 ), references = 2, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), #-{F} V4, V4 == V3 | pppp12-{T}(V1,V2,V4)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #74: mergings( V0 == V2; #71 ), references = 1, size of lhs = 1:
% 230.14/230.36 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #76: mergings( V0 == V2; #72 ), references = 1, size of lhs = 2:
% 230.14/230.36 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #81: mergings( V0 == V3; #77 ), references = 1, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp11-{T}(V2)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #84: mergings( V0 == V3, V1 == V3; #78 ), references = 1, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp11-{T}(V2)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #86: mergings( V1 == V0; #79 ), references = 1, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), pppp5-{F}(V0), P_powerset-{F}(V0,V1) | pppp11-{T}(V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #96: mergings( V0 == V4; #93 ), references = 1, size of lhs = 2:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp3-{T}(V0,V2)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #98: mergings( V0 == V4; #94 ), references = 1, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp3-{T}(V1,V3)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #100: exists( #44, #23 ), references = 5, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_set_difference-{F}(V1,V3,V4) | P_subset_complement-{T}(V1,V3,V4)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #103: exists( #44, #16 ), references = 4, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_subset_complement-{F}(V1,V3,V4) | P_subset_complement-{T}(V1,V4,V3)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #105: exists( #42, #23 ), references = 4, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_subset_complement-{F}(V1,V3,V4) | P_set_difference-{T}(V1,V3,V4)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #112: disj( #37, input ), references = 2, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), empty-{F}(V1), pppp10-{F}(V2,V3,V1,V4) | pppp0-{T}(V2,V3,V4)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #144: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V11 == V12, V12 == V13; #134 ), references = 3, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), in-{F}(V1,V3), element-{F}(V3,V2) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #151: mergings( V0 == V3; #148 ), references = 1, size of lhs = 2:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2) | pppp0-{T}(V2,V1,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #153: mergings( V0 == V4; #149 ), references = 1, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), P_powerset-{F}(V1,V3), element-{F}(V4,V3) | pppp0-{T}(V2,V4,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #195: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V11 == V12, V12 == V13; #185 ), references = 5, size of lhs = 5:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V3), pppp0-{F}(V5,V1,V4) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #223: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8; #218 ), references = 2, size of lhs = 6:
% 230.14/230.36 empty-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), element-{F}(V4,V3), pppp1-{F}(V4,V2,V5), pppp12-{F}(V5,V6,V0) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #232: mergings( V3 == V4, V4 == V5, V5 == V7; #228 ), references = 1, size of lhs = 4:
% 230.14/230.36 empty-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), element-{F}(V4,V3) | P_set_difference-{T}(V4,V2,V0)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #261: mergings( V4 == V5; #257 ), references = 1, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), empty-{F}(V1), pppp10-{F}(V1,V2,V3,V4) | in-{T}(V4,V3)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #263: mergings( V4 == V5; #258 ), references = 1, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp10-{F}(V3,V1,V4,V5) | in-{T}(V5,V4)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #265: mergings( V4 == V5; #259 ), references = 1, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp10-{F}(V1,V3,V4,V2) | in-{T}(V2,V4)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #317: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V10 == V11, V11 == V12; #308 ), references = 3, size of lhs = 6:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V3), pppp10-{F}(V5,V6,V1,V4), pppp0-{F}(V5,V6,V4) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #374: mergings( V0 == V4; #372 ), references = 1, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3) | pppp0-{T}(V3,V1,V2)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #663: exists( #44, #659 ), references = 1, size of lhs = 6:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), pppp7-{F}(V1,V4,V5), in-{F}(V6,V5), pppp0-{F}(V7,V3,V6) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #664: exists( #44, #660 ), references = 2, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), pppp7-{F}(V1,V3,V4), P_set_difference-{F}(V1,V4,V5) | P_subset_complement-{T}(V1,V4,V5)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #668: mergings( V0 == V4; #665 ), references = 4, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp0-{F}(V3,V4,V1) | pppp0-{T}(V2,V4,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #670: mergings( V0 == V4; #666 ), references = 1, size of lhs = 5:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp0-{F}(V4,V1,V5), in-{F}(V5,V6) | pppp0-{T}(V6,V3,V5)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #875: mergings( V0 == V4, V4 == V5, V5 == V6; #869 ), references = 1, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3), pppp1-{F}(V3,V4,V1) | in-{T}(V1,V4)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #879: mergings( V0 == V4, V4 == V5, V5 == V6; #870 ), references = 3, size of lhs = 5:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3), pppp1-{F}(V3,V4,V5), pppp0-{F}(V6,V5,V1) | in-{T}(V1,V4)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #883: mergings( V0 == V4, V4 == V5, V5 == V6; #871 ), references = 1, size of lhs = 6:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3), P_powerset-{F}(V1,V4), element-{F}(V5,V4), pppp1-{F}(V3,V6,V5) | in-{T}(V1,V6)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #966: mergings( V0 == V4, V4 == V5; #962 ), references = 2, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3), pppp1-{F}(V4,V3,V5) | pppp0-{T}(V2,V5,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #969: mergings( V0 == V4, V4 == V5; #963 ), references = 1, size of lhs = 6:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3), element-{F}(V3,V4), P_powerset-{F}(V5,V4), pppp1-{F}(V6,V5,V7) | pppp0-{T}(V2,V7,V1)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #1078: mergings( V3 == V4; #1075 ), references = 1, size of lhs = 2:
% 230.14/230.36 P_empty_set-{F}(V0), pppp10-{F}(V1,V2,V3,V1) | in-{T}(V1,V3)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #1080: mergings( V4 == V5; #1076 ), references = 1, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2), pppp10-{F}(V1,V4,V5,V3) | in-{T}(V3,V5)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #1098: mergings( V0 == V3, V3 == V4, V4 == V5; #1094 ), references = 1, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_subset_complement-{F}(V0,V0,V2) | pppp6-{T}(V1,V2)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #1276: disj( #37, input ), references = 1, size of lhs = 3:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp10-{F}(V3,V4,V1,V2) | pppp0-{T}(V3,V4,V2)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #1592: mergings( V4 == V5, V5 == V6; #1588 ), references = 3, size of lhs = 6:
% 230.14/230.36 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3), pppp10-{F}(V1,V2,V4,V5), pppp1-{F}(V4,V3,V6), pppp1-{F}(V7,V6,V4), pppp10-{F}(V8,V9,V4,V5) | pppp0-{T}(V8,V9,V5)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #1596: mergings( V4 == V5, V5 == V6, V6 == V7; #1589 ), references = 1, size of lhs = 8:
% 230.14/230.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp1-{F}(V3,V4,V5), pppp1-{F}(V6,V5,V3), pppp1-{F}(V7,V8,V4), pppp10-{F}(V7,V8,V1,V9), pppp10-{F}(V10,V11,V3,V9) | pppp0-{T}(V10,V11,V9)
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #2701: mergings( V4 == V5, V5 == V6, V6 == V7; #2696 ), references = 1, size of lhs = 6:
% 230.14/230.36 P_empty_set-{F}(V0), pppp12-{F}(V1,V2,V3), pppp1-{F}(V1,V2,V4), pppp1-{F}(V3,V4,V5), pppp1-{F}(V6,V5,V3), pppp1-{F}(V3,V7,V1) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #2706: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8; #2697 ), references = 1, size of lhs = 8:
% 230.14/230.36 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2), pppp1-{F}(V1,V4,V5), pppp12-{F}(V5,V6,V3), pppp1-{F}(V5,V6,V7), pppp1-{F}(V3,V7,V8), pppp1-{F}(V9,V8,V3) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #3116: mergings( V3 == V4, V4 == V5, V5 == V6, V9 == V10, V7 == V11; #3109 ), references = 1, size of lhs = 5:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3), pppp7-{F}(V4,V1,V3), P_powerset-{F}(V4,V5) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #3122: mergings( V2 == V3, V3 == V4, V4 == V5, V6 == V9; #3117 ), references = 1, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3), pppp7-{F}(V4,V1,V3) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #3127: mergings( V3 == V4, V4 == V5, V5 == V6; #3123 ), references = 1, size of lhs = 4:
% 230.14/230.36 P_empty_set-{F}(V0), pppp8-{F}(V1,V2), in-{F}(V1,V2), in-{F}(V1,V3) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #3133: mergings( V2 == V3, V3 == V4, V4 == V5; #3129 ), references = 1, size of lhs = 2:
% 230.14/230.36 pppp9-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #3139: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5; #3134 ), references = 1, size of lhs = 1:
% 230.14/230.36 P_empty_set-{F}(V0) | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 #3141: exists( #41, #3134 ), references = 1, size of lhs = 0:
% 230.14/230.36 FALSE | FALSE
% 230.14/230.36 (used 0 times, uses = {})
% 230.14/230.36
% 230.14/230.36 number of learnt formulas = 48
% 230.14/230.36
% 230.14/230.36
% 230.14/230.36 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 230.14/230.36
% 230.14/230.36 randbase = 1
%------------------------------------------------------------------------------