%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU169+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 23.33s 23.56s
% Output : Refutation 23.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU169+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 : n026.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 18:45:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 23.33/23.56 GeoParameters:
% 23.33/23.56
% 23.33/23.56 tptp_input = 1
% 23.33/23.56 tptp_output = 0
% 23.33/23.56 nonempty = 1
% 23.33/23.56 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.33/23.56 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 23.33/23.56
% 23.33/23.56
% 23.33/23.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.33/23.56 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.33/23.56
% 23.33/23.56 RuleSystem INPUT:
% 23.33/23.56
% 23.33/23.56 Initial Rules:
% 23.33/23.56 #0: input, references = 10, size of lhs = 2:
% 23.33/23.56 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #1: input, references = 4, size of lhs = 1:
% 23.33/23.56 P_powerset-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #2: input, references = 3, size of lhs = 3:
% 23.33/23.56 P_powerset-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #3: input, references = 18, size of lhs = 2:
% 23.33/23.56 pppp0-{F}(V0,V1), in-{F}(V2,V1) | subset-{T}(V2,V0)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #4: input, references = 4, size of lhs = 2:
% 23.33/23.56 pppp0-{F}(V0,V1), subset-{F}(V2,V0) | in-{T}(V2,V1)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #5: input, references = 5, size of lhs = 2:
% 23.33/23.56 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp11-{T}(V0,V1)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #6: input, references = 5, size of lhs = 1:
% 23.33/23.56 pppp11-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #7: input, references = 12, size of lhs = 3:
% 23.33/23.56 pppp2-{F}(V0,V1,V2), subset-{F}(V2,V0), in-{F}(V2,V1) | FALSE
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #8: input, references = 11, size of lhs = 1:
% 23.33/23.56 pppp2-{F}(V0,V1,V2) | in-{T}(V2,V1), subset-{T}(V2,V0)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #9: input, references = 4, size of lhs = 1:
% 23.33/23.56 element-{F}(V1,V0) | empty-{T}(V0), in-{T}(V1,V0)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #10: input, references = 4, size of lhs = 1:
% 23.33/23.56 in-{F}(V1,V0) | empty-{T}(V0), element-{T}(V1,V0)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #11: input, references = 4, size of lhs = 2:
% 23.33/23.56 empty-{F}(V0), element-{F}(V1,V0) | empty-{T}(V1)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #12: input, references = 3, size of lhs = 2:
% 23.33/23.56 empty-{F}(V0), empty-{F}(V1) | element-{T}(V1,V0)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #13: input, references = 18, size of lhs = 1:
% 23.33/23.56 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #14: input, references = 4, size of lhs = 1:
% 23.33/23.56 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #15: input, references = 35, size of lhs = 2:
% 23.33/23.56 pppp1-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #16: input, references = 13, size of lhs = 2:
% 23.33/23.56 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp12-{T}(V0,V1)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #17: input, references = 5, size of lhs = 1:
% 23.33/23.56 pppp12-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #18: input, references = 9, size of lhs = 2:
% 23.33/23.56 pppp3-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #19: input, references = 5, size of lhs = 1:
% 23.33/23.56 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #20: input, references = 8, size of lhs = 1:
% 23.33/23.56 #-{F} V0 | EXISTS V1: pppp4-{T}(V0,V1)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #21: input, references = 14, size of lhs = 1:
% 23.33/23.56 pppp4-{F}(V0,V1) | element-{T}(V1,V0)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #22: input, references = 3, size of lhs = 2:
% 23.33/23.56 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #23: input, references = 3, size of lhs = 1:
% 23.33/23.56 P_empty_set-{F}(V0) | empty-{T}(V0)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #24: input, references = 4, size of lhs = 1:
% 23.33/23.56 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #25: input, references = 4, size of lhs = 1:
% 23.33/23.56 pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #26: input, references = 6, size of lhs = 2:
% 23.33/23.56 pppp6-{F}(V0,V1), P_powerset-{F}(V0,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #27: input, references = 4, size of lhs = 2:
% 23.33/23.56 pppp6-{F}(V0,V1), P_powerset-{F}(V0,V2) | element-{T}(V1,V2)
% 23.33/23.56 (used 0 times, uses = {})
% 23.33/23.56
% 23.33/23.56 #28: input, references = 5, size of lhs = 2:
% 23.33/23.56 pppp5-{F}(V0,V1,V2), in-{F}(V2,V0) | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #29: input, references = 6, size of lhs = 1:
% 23.33/23.57 pppp5-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #30: input, references = 4, size of lhs = 2:
% 23.33/23.57 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp13-{T}(V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #31: input, references = 3, size of lhs = 1:
% 23.33/23.57 pppp13-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #32: input, references = 3, size of lhs = 2:
% 23.33/23.57 pppp8-{F}(V0,V1), empty-{F}(V0) | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #33: input, references = 3, size of lhs = 1:
% 23.33/23.57 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #34: input, references = 4, size of lhs = 1:
% 23.33/23.57 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #35: input, references = 5, size of lhs = 1:
% 23.33/23.57 pppp9-{F}(V0) | empty-{T}(V0)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #36: input, references = 3, size of lhs = 1:
% 23.33/23.57 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #37: input, references = 3, size of lhs = 2:
% 23.33/23.57 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #38: input, references = 3, size of lhs = 2:
% 23.33/23.57 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #39: input, references = 5, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #40: input, references = 7, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #41: input, references = 4, size of lhs = 4:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #42: input, references = 4, size of lhs = 1:
% 23.33/23.57 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #43: input, references = 4, size of lhs = 0:
% 23.33/23.57 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 number of initial rules = 44
% 23.33/23.57
% 23.33/23.57 Simplifiers:
% 23.33/23.57 #44: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #45: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #46: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #47: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #48: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #49: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #50: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V5), V1 == V4 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #51: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V0 == V3 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #52: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #53: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #54: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #55: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #56: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #57: unsound, references = 3, size of lhs = 3:
% 23.33/23.57 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 number of simplifiers = 14
% 23.33/23.57
% 23.33/23.57 Learnt:
% 23.33/23.57 #60: disj( #5, #4+#0 ), references = 1, size of lhs = 1:
% 23.33/23.57 subset-{F}(V0,V1) | pppp11-{T}(V1,V0)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #68: exists( #20, #65 ), references = 1, size of lhs = 2:
% 23.33/23.57 empty-{F}(V0), P_empty_set-{F}(V1) | pppp4-{T}(V0,V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #74: mergings( V0 == V2; #71 ), references = 1, size of lhs = 1:
% 23.33/23.57 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #76: mergings( V0 == V2; #72 ), references = 1, size of lhs = 2:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #80: disj( #5, input ), references = 1, size of lhs = 3:
% 23.33/23.57 P_powerset-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp11-{T}(V0,V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #87: disj( #16, #14+#7 ), references = 1, size of lhs = 2:
% 23.33/23.57 in-{F}(V0,V1), pppp2-{F}(V2,V1,V0) | pppp12-{T}(V0,V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #91: disj( #9, input ), references = 2, size of lhs = 2:
% 23.33/23.57 element-{F}(V0,V1), P_powerset-{F}(V2,V1) | in-{T}(V0,V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #92: disj( #9, input ), references = 11, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #94: mergings( V1 == V2; #90 ), references = 1, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), element-{F}(V1,V0), in-{F}(V2,V0) | in-{T}(V1,V0)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #104: disj( #10, input ), references = 1, size of lhs = 2:
% 23.33/23.57 in-{F}(V0,V1), P_powerset-{F}(V2,V1) | element-{T}(V0,V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #105: disj( #10, input ), references = 1, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), in-{F}(V1,V2), V2 == V0 | element-{T}(V1,V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #107: mergings( V1 == V2; #103 ), references = 1, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V0) | element-{T}(V1,V0)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #137: mergings( V0 == V3; #133 ), references = 1, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp13-{T}(V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #140: mergings( V0 == V3, V1 == V3; #134 ), references = 1, size of lhs = 4:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #143: mergings( V0 == V3, V1 == V3; #135 ), references = 1, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #148: disj( #16, #15+#0 ), references = 2, size of lhs = 1:
% 23.33/23.57 in-{F}(V0,V1) | pppp12-{T}(V1,V0)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #149: disj( #16, #15+#40 ), references = 1, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp12-{T}(V3,V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #158: disj( #16, #15+#3+#7 ), references = 1, size of lhs = 4:
% 23.33/23.57 pppp0-{F}(V0,V1), in-{F}(V2,V3), in-{F}(V2,V4), pppp2-{F}(V0,V4,V2) | pppp12-{T}(V3,V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #174: exists( #17, #171 ), references = 1, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), pppp12-{F}(V1,V2) | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #177: disj( #16, exists( #17, #171 ) ), references = 1, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | pppp1-{T}(V1,V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #191: disj( #8, input ), references = 2, size of lhs = 3:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1,V3) | subset-{T}(V3,V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #192: disj( #8, input ), references = 1, size of lhs = 2:
% 23.33/23.57 in-{F}(V0,V1), pppp2-{F}(V2,V0,V1) | subset-{T}(V1,V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #227: mergings( V2 == V3; #225 ), references = 4, size of lhs = 4:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), V2 == V0 | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #233: mergings( V3 == V4, V4 == V5; #230 ), references = 1, size of lhs = 4:
% 23.33/23.57 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp11-{F}(V2,V0) | pppp2-{T}(V2,V0,V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #249: mergings( V2 == V3; #247 ), references = 1, size of lhs = 4:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), V2 == V0 | pppp4-{T}(V2,V0)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #276: exists( #17, #273 ), references = 3, size of lhs = 4:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), pppp12-{F}(V2,V3) | pppp3-{T}(V2,V3,V0)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #358: disj( #16, #15+#18 ), references = 1, size of lhs = 2:
% 23.33/23.57 in-{F}(V0,V1), pppp3-{F}(V2,V3,V0) | pppp12-{T}(V1,V3)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #359: disj( #16, #15+#7 ), references = 1, size of lhs = 3:
% 23.33/23.57 in-{F}(V0,V1), subset-{F}(V0,V2), pppp2-{F}(V2,V3,V0) | pppp12-{T}(V1,V3)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #395: disj( #16, #276+#18 ), references = 1, size of lhs = 4:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V0,V3) | pppp1-{T}(V2,V3)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #461: disj( #8, input ), references = 1, size of lhs = 3:
% 23.33/23.57 subset-{F}(V0,V1), pppp2-{F}(V1,V2,V0), pppp2-{F}(V3,V2,V0) | subset-{T}(V0,V3)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #497: disj( #8, #13+#15+#0 ), references = 3, size of lhs = 3:
% 23.33/23.57 in-{F}(V0,V1), in-{F}(V1,V2), pppp2-{F}(V0,V3,V2) | in-{T}(V2,V3)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #750: disj( #8, input ), references = 1, size of lhs = 2:
% 23.33/23.57 pppp2-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2) | subset-{T}(V2,V0)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #808: disj( #16, #15+#3+#13+#15+#0 ), references = 1, size of lhs = 4:
% 23.33/23.57 pppp0-{F}(V0,V1), in-{F}(V0,V2), in-{F}(V2,V3), in-{F}(V3,V4) | pppp12-{T}(V4,V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #931: mergings( V2 == V3; #929 ), references = 4, size of lhs = 5:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), pppp1-{F}(V3,V2), V3 == V0 | pppp4-{T}(V3,V0)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #1040: disj( #8, input ), references = 1, size of lhs = 3:
% 23.33/23.57 in-{F}(V0,V1), pppp2-{F}(V2,V1,V0), pppp2-{F}(V2,V3,V0) | in-{T}(V0,V3)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #1044: exists( #6, #1042 ), references = 2, size of lhs = 7:
% 23.33/23.57 pppp11-{F}(V0,V1), pppp0-{F}(V2,V3), pppp2-{F}(V4,V3,V5), in-{F}(V5,V6), pppp2-{F}(V4,V6,V5), in-{F}(V5,V7), pppp2-{F}(V2,V7,V5) | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #1153: disj( #8, exists( #6, #1042 ) ), references = 1, size of lhs = 7:
% 23.33/23.57 pppp11-{F}(V0,V1), pppp0-{F}(V2,V3), pppp2-{F}(V4,V3,V5), pppp2-{F}(V4,V6,V5), pppp2-{F}(V7,V6,V5), in-{F}(V5,V8), pppp2-{F}(V2,V8,V5) | subset-{T}(V5,V7)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #1470: mergings( V3 == V5; #1467 ), references = 1, size of lhs = 7:
% 23.33/23.57 empty-{F}(V0), pppp0-{F}(V0,V1), P_empty_set-{F}(V2), pppp2-{F}(V1,V3,V4), V4 == V2, pppp1-{F}(V4,V5), pppp3-{F}(V6,V5,V2) | in-{T}(V4,V3)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #1563: disj( #16, #15+#3+#13+#15+#0 ), references = 1, size of lhs = 3:
% 23.33/23.57 pppp0-{F}(V0,V1), in-{F}(V0,V2), in-{F}(V2,V3) | pppp12-{T}(V3,V1)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #1564: disj( #16, #15+#3+#13+#15+#148+#276+#18 ), references = 1, size of lhs = 7:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), pppp0-{F}(V2,V3), in-{F}(V0,V4), in-{F}(V4,V5), in-{F}(V5,V6) | pppp12-{T}(V6,V3)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #1667: disj( #16, #15+#15+#497+#0 ), references = 1, size of lhs = 4:
% 23.33/23.57 in-{F}(V0,V1), in-{F}(V2,V1), in-{F}(V3,V2), pppp2-{F}(V3,V0,V4) | pppp12-{T}(V1,V4)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #1668: disj( #16, #15+#497+#7 ), references = 1, size of lhs = 5:
% 23.33/23.57 in-{F}(V0,V1), in-{F}(V1,V2), pppp2-{F}(V0,V3,V4), subset-{F}(V4,V5), pppp2-{F}(V5,V3,V4) | pppp12-{T}(V2,V4)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #1993: mergings( V2 == V3, V3 == V7; #1989 ), references = 1, size of lhs = 9:
% 23.33/23.57 empty-{F}(V0), pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), P_empty_set-{F}(V3), pppp1-{F}(V4,V2), V4 == V3, pppp1-{F}(V4,V5), pppp0-{F}(V6,V5), pppp3-{F}(V7,V6,V3) | pppp4-{T}(V4,V3)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #1996: mergings( V2 == V3, V3 == V7; #1990 ), references = 1, size of lhs = 10:
% 23.33/23.57 empty-{F}(V0), pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), P_empty_set-{F}(V3), subset-{F}(V3,V4), pppp2-{F}(V4,V5,V3), pppp0-{F}(V5,V6), pppp1-{F}(V7,V2), V7 == V3, pppp1-{F}(V7,V6) | pppp4-{T}(V7,V3)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #2008: mergings( V0 == V1, V1 == V5, V5 == V10; #2003 ), references = 1, size of lhs = 11:
% 23.33/23.57 empty-{F}(V0), pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), pppp1-{F}(V3,V2), pppp1-{F}(V3,V4), pppp0-{F}(V5,V4), P_empty_set-{F}(V6), V3 == V6, pppp3-{F}(V7,V5,V6), pppp1-{F}(V3,V8), pppp3-{F}(V9,V8,V6) | pppp4-{T}(V3,V6)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #2012: mergings( V0 == V1, V1 == V5, V5 == V10; #2004 ), references = 1, size of lhs = 12:
% 23.33/23.57 empty-{F}(V0), pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), pppp1-{F}(V3,V2), pppp1-{F}(V3,V4), pppp0-{F}(V5,V4), P_empty_set-{F}(V6), V3 == V6, pppp3-{F}(V7,V5,V6), pppp1-{F}(V3,V8), subset-{F}(V6,V9), pppp2-{F}(V9,V8,V6) | pppp4-{T}(V3,V6)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #2288: disj( #8, #15+#0 ), references = 1, size of lhs = 2:
% 23.33/23.57 pppp1-{F}(V0,V1), pppp2-{F}(V2,V0,V1) | subset-{T}(V1,V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #2289: disj( #8, #15+#7 ), references = 1, size of lhs = 4:
% 23.33/23.57 pppp1-{F}(V0,V1), pppp2-{F}(V2,V0,V3), subset-{F}(V3,V4), pppp2-{F}(V4,V1,V3) | subset-{T}(V3,V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #2290: disj( #8, #15+#1044 ), references = 1, size of lhs = 7:
% 23.33/23.57 pppp11-{F}(V0,V1), pppp0-{F}(V2,V3), pppp2-{F}(V4,V3,V5), pppp2-{F}(V2,V6,V5), pppp2-{F}(V7,V6,V5), pppp1-{F}(V6,V8), pppp2-{F}(V4,V8,V5) | subset-{T}(V5,V7)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #2577: disj( #16, #15+#3+#13+#15+#3+#7 ), references = 1, size of lhs = 6:
% 23.33/23.57 pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), in-{F}(V3,V4), in-{F}(V5,V3), in-{F}(V5,V6), pppp2-{F}(V0,V6,V5) | pppp12-{T}(V4,V2)
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #2867: exists( #26, #2865 ), references = 1, size of lhs = 2:
% 23.33/23.57 pppp6-{F}(V0,V0), P_powerset-{F}(V0,V1) | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #3331: exists( #26, #3328 ), references = 1, size of lhs = 4:
% 23.33/23.57 P_empty_set-{F}(V0), empty-{F}(V1), pppp6-{F}(V2,V1), P_powerset-{F}(V2,V3) | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #3650: exists( #26, #3647 ), references = 1, size of lhs = 3:
% 23.33/23.57 pppp6-{F}(V0,V1), pppp1-{F}(V1,V0), P_powerset-{F}(V0,V2) | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #3657: mergings( V2 == V4; #3655 ), references = 1, size of lhs = 4:
% 23.33/23.57 pppp7-{F}(V0), pppp0-{F}(V0,V1), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1) | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #3660: exists( #42, #3658 ), references = 1, size of lhs = 1:
% 23.33/23.57 pppp7-{F}(V0) | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #3662: exists( #24, #3659 ), references = 1, size of lhs = 1:
% 23.33/23.57 P_empty_set-{F}(V0) | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 #3664: exists( #43, #3661 ), references = 1, size of lhs = 0:
% 23.33/23.57 FALSE | FALSE
% 23.33/23.57 (used 0 times, uses = {})
% 23.33/23.57
% 23.33/23.57 number of learnt formulas = 57
% 23.33/23.57
% 23.33/23.57
% 23.33/23.57 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.33/23.57
% 23.33/23.57 randbase = 1
%------------------------------------------------------------------------------