TSTP Solution File: SET587+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET587+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:16:23 EDT 2022
% Result : Theorem 1.08s 1.29s
% Output : Refutation 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET587+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 : Sat Jul 23 01:27:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.08/1.29 GeoParameters:
% 1.08/1.29
% 1.08/1.29 tptp_input = 1
% 1.08/1.29 tptp_output = 0
% 1.08/1.29 nonempty = 1
% 1.08/1.29 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.29 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.08/1.29
% 1.08/1.29
% 1.08/1.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.29
% 1.08/1.29 RuleSystem INPUT:
% 1.08/1.29
% 1.08/1.29 Initial Rules:
% 1.08/1.29 #0: input, references = 3, size of lhs = 3:
% 1.08/1.29 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #1: input, references = 4, size of lhs = 3:
% 1.08/1.29 pppp5-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #2: input, references = 4, size of lhs = 1:
% 1.08/1.29 pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #3: input, references = 13, size of lhs = 2:
% 1.08/1.29 P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #4: input, references = 9, size of lhs = 2:
% 1.08/1.29 P_difference-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #5: input, references = 10, size of lhs = 1:
% 1.08/1.29 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #6: input, references = 11, size of lhs = 2:
% 1.08/1.29 pppp0-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #7: input, references = 6, size of lhs = 2:
% 1.08/1.29 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2), member-{T}(V0,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #8: input, references = 8, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #9: input, references = 4, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), subset-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #10: input, references = 6, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), pppp1-{F}(V1,V2) | subset-{T}(V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #11: input, references = 7, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #12: input, references = 7, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp11-{T}(V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #13: input, references = 6, size of lhs = 1:
% 1.08/1.29 pppp11-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V0,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #14: input, references = 4, size of lhs = 2:
% 1.08/1.29 pppp6-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #15: input, references = 7, size of lhs = 1:
% 1.08/1.29 pppp6-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #16: input, references = 3, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), #-{F} V2 | pppp2-{T}(V2,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #17: input, references = 4, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), V1 == V2 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #18: input, references = 3, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #19: input, references = 3, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V2,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #20: input, references = 4, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V2,V1) | pppp2-{T}(V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #21: input, references = 3, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), #-{F} V2 | pppp3-{T}(V2,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #22: input, references = 3, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), V1 == V2 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #23: input, references = 3, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #24: input, references = 3, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), member-{F}(V3,V2) | member-{T}(V3,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #25: input, references = 4, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp3-{T}(V1,V2), pppp12-{T}(V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #26: input, references = 8, size of lhs = 1:
% 1.08/1.29 pppp12-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V2,V0,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #27: input, references = 6, size of lhs = 3:
% 1.08/1.29 pppp7-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #28: input, references = 6, size of lhs = 1:
% 1.08/1.29 pppp7-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #29: input, references = 3, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #30: input, references = 3, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #31: input, references = 3, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), pppp4-{F}(V1) | empty-{T}(V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #32: input, references = 7, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp4-{F}(V1), member-{F}(V2,V1) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #33: input, references = 6, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), #-{F} V1 | pppp4-{T}(V1), pppp13-{T}(V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #34: input, references = 6, size of lhs = 1:
% 1.08/1.29 pppp13-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #35: input, references = 7, size of lhs = 1:
% 1.08/1.29 pppp8-{F}(V0,V1) | member-{T}(V1,V0)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #36: input, references = 4, size of lhs = 1:
% 1.08/1.29 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #37: input, references = 4, size of lhs = 1:
% 1.08/1.29 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V1,V2,V0)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #38: input, references = 4, size of lhs = 3:
% 1.08/1.29 pppp9-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V2), subset-{F}(V0,V1) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #39: input, references = 4, size of lhs = 3:
% 1.08/1.29 pppp9-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), V3 == V2 | subset-{T}(V0,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #40: input, references = 7, size of lhs = 2:
% 1.08/1.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #41: input, references = 4, size of lhs = 0:
% 1.08/1.29 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 number of initial rules = 42
% 1.08/1.29
% 1.08/1.29 Simplifiers:
% 1.08/1.29 #42: unsound, references = 3, size of lhs = 3:
% 1.08/1.29 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #43: unsound, references = 3, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #44: unsound, references = 3, size of lhs = 3:
% 1.08/1.29 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #45: unsound, references = 3, size of lhs = 3:
% 1.08/1.29 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #46: unsound, references = 3, size of lhs = 3:
% 1.08/1.29 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #47: unsound, references = 3, size of lhs = 3:
% 1.08/1.29 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #48: unsound, references = 3, size of lhs = 3:
% 1.08/1.29 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #49: unsound, references = 3, size of lhs = 3:
% 1.08/1.29 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V2), V0 == V3 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #50: unsound, references = 3, size of lhs = 3:
% 1.08/1.29 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #51: unsound, references = 3, size of lhs = 3:
% 1.08/1.29 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #52: unsound, references = 3, size of lhs = 3:
% 1.08/1.29 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 number of simplifiers = 11
% 1.08/1.29
% 1.08/1.29 Learnt:
% 1.08/1.29 #55: mergings( V0 == V3; #53 ), references = 5, size of lhs = 4:
% 1.08/1.29 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | pppp12-{T}(V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #58: disj( #28, input ), references = 3, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), pppp7-{F}(V1,V0,V2) | member-{T}(V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #59: disj( #28, input ), references = 3, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp4-{F}(V1), pppp7-{F}(V2,V1,V3) | member-{T}(V2,V3)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #63: exists( #26, #61 ), references = 1, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp12-{F}(V0,V1), P_difference-{F}(V2,V1,V1) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #72: mergings( V0 == V3, V3 == V2; #67 ), references = 1, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp11-{T}(V2,V0)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #74: mergings( V0 == V3; #68 ), references = 1, size of lhs = 4:
% 1.08/1.29 P_empty_set-{F}(V0), member-{F}(V1,V2), member-{F}(V1,V3), pppp7-{F}(V1,V4,V3) | pppp11-{T}(V2,V4)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #76: mergings( V0 == V3; #69 ), references = 1, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), member-{F}(V1,V2), pppp0-{F}(V1,V3,V4) | pppp11-{T}(V2,V4)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #85: exists( #26, #82 ), references = 1, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp12-{F}(V0,V1), P_difference-{F}(V2,V2,V1) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #89: mergings( V2 == V3; #87 ), references = 1, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), #-{F} V1 | P_difference-{T}(V1,V1,V0)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #93: disj( #7, input ), references = 5, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp0-{T}(V1,V2,V0)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #94: disj( #7, input ), references = 1, size of lhs = 3:
% 1.08/1.29 member-{F}(V0,V1), member-{F}(V0,V2), pppp7-{F}(V0,V3,V2) | pppp0-{T}(V0,V1,V3)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #95: disj( #7, input ), references = 1, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp4-{F}(V1), member-{F}(V2,V3) | pppp0-{T}(V2,V3,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #104: exists( #34, #100 ), references = 1, size of lhs = 2:
% 1.08/1.29 pppp13-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #107: mergings( V0 == V1; #105 ), references = 1, size of lhs = 1:
% 1.08/1.29 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #110: mergings( V0 == V2; #108 ), references = 1, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp13-{T}(V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #117: mergings( V3 == V1; #114 ), references = 1, size of lhs = 3:
% 1.08/1.29 pppp4-{F}(V0), pppp12-{F}(V0,V1), P_empty_set-{F}(V1) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #119: mergings( V3 == V4; #115 ), references = 1, size of lhs = 4:
% 1.08/1.29 pppp4-{F}(V0), pppp12-{F}(V0,V1), pppp4-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #124: mergings( V0 == V2, V2 == V3; #120 ), references = 1, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), pppp12-{F}(V1,V0) | pppp13-{T}(V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #127: mergings( V0 == V2, V2 == V4; #121 ), references = 1, size of lhs = 3:
% 1.08/1.29 pppp4-{F}(V0), pppp12-{F}(V0,V1), P_empty_set-{F}(V2) | pppp13-{T}(V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #143: exists( #34, #137 ), references = 1, size of lhs = 3:
% 1.08/1.29 pppp13-{F}(V0), P_empty_set-{F}(V1), P_difference-{F}(V1,V2,V0) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #144: exists( #34, #139 ), references = 1, size of lhs = 4:
% 1.08/1.29 pppp13-{F}(V0), P_empty_set-{F}(V1), pppp4-{F}(V2), P_difference-{F}(V2,V3,V0) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #158: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V0; #151 ), references = 1, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), #-{F} V1 | P_difference-{T}(V0,V1,V0)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #167: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #153 ), references = 1, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp4-{F}(V1), #-{F} V2 | P_difference-{T}(V1,V2,V0)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #180: mergings( V0 == V3; #178 ), references = 3, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp9-{F}(V1,V2,V3), P_difference-{F}(V1,V2,V3) | pppp11-{T}(V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #186: disj( #2, input ), references = 1, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V0) | member-{T}(V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #187: disj( #2, input ), references = 1, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp4-{F}(V1), pppp5-{F}(V2,V3,V1) | member-{T}(V2,V3)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #200: exists( #26, #198 ), references = 1, size of lhs = 4:
% 1.08/1.29 P_empty_set-{F}(V0), pppp12-{F}(V0,V1), P_difference-{F}(V2,V3,V1), P_difference-{F}(V4,V2,V1) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #218: exists( #34, #215 ), references = 1, size of lhs = 4:
% 1.08/1.29 pppp13-{F}(V0), P_empty_set-{F}(V1), P_difference-{F}(V2,V1,V3), P_difference-{F}(V2,V3,V0) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #248: mergings( V0 == V3, V3 == V4, V4 == V5; #244 ), references = 2, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), subset-{F}(V1,V2), V2 == V1 | pppp11-{T}(V2,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #259: disj( #28, #93+#4+#27 ), references = 1, size of lhs = 4:
% 1.08/1.29 P_empty_set-{F}(V0), P_difference-{F}(V1,V0,V2), pppp7-{F}(V3,V2,V1), pppp7-{F}(V3,V4,V1) | member-{T}(V3,V4)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #260: disj( #28, #93+#4+#1 ), references = 1, size of lhs = 4:
% 1.08/1.29 P_empty_set-{F}(V0), P_difference-{F}(V1,V0,V2), pppp5-{F}(V3,V1,V2), pppp7-{F}(V3,V4,V1) | member-{T}(V3,V4)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #265: exists( #26, #263 ), references = 1, size of lhs = 4:
% 1.08/1.29 P_empty_set-{F}(V0), P_difference-{F}(V1,V0,V2), pppp12-{F}(V2,V1), P_difference-{F}(V1,V3,V2) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #269: mergings( V3 == V1; #267 ), references = 2, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), #-{F} V1 | P_difference-{T}(V1,V0,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #274: exists( #13, #270 ), references = 1, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), pppp11-{F}(V0,V1) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #275: exists( #13, #271 ), references = 1, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp4-{F}(V1), pppp11-{F}(V1,V2) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #279: mergings( V0 == V1; #276 ), references = 2, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), #-{F} V1 | pppp1-{T}(V0,V1)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #281: mergings( V0 == V3; #277 ), references = 1, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp4-{F}(V1), #-{F} V2 | pppp1-{T}(V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #284: disj( #28, input ), references = 1, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), pppp7-{F}(V1,V2,V0) | member-{T}(V1,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #285: disj( #28, input ), references = 1, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), pppp4-{F}(V1), pppp7-{F}(V2,V3,V1) | member-{T}(V2,V3)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #295: disj( #7, input ), references = 2, size of lhs = 2:
% 1.08/1.29 member-{F}(V0,V1), pppp0-{F}(V0,V2,V3) | pppp0-{T}(V0,V1,V3)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #296: disj( #7, input ), references = 1, size of lhs = 3:
% 1.08/1.29 member-{F}(V0,V1), member-{F}(V0,V2), pppp7-{F}(V0,V2,V3) | pppp0-{T}(V0,V1,V3)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #307: disj( #7, #4+#6 ), references = 1, size of lhs = 3:
% 1.08/1.29 member-{F}(V0,V1), P_difference-{F}(V1,V2,V3), pppp0-{F}(V0,V4,V3) | member-{T}(V0,V2)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #308: disj( #7, #4+#8 ), references = 1, size of lhs = 3:
% 1.08/1.29 P_empty_set-{F}(V0), member-{F}(V1,V2), P_difference-{F}(V2,V3,V0) | member-{T}(V1,V3)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #309: disj( #7, #4+#32 ), references = 1, size of lhs = 4:
% 1.08/1.29 P_empty_set-{F}(V0), pppp4-{F}(V1), member-{F}(V2,V3), P_difference-{F}(V3,V4,V1) | member-{T}(V2,V4)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #317: exists( #13, #314 ), references = 3, size of lhs = 3:
% 1.08/1.29 pppp11-{F}(V0,V1), P_difference-{F}(V0,V1,V2), P_difference-{F}(V3,V2,V0) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #334: exists( #13, #331 ), references = 1, size of lhs = 4:
% 1.08/1.29 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), P_difference-{F}(V1,V2,V3), pppp11-{F}(V3,V4) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #345: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #340 ), references = 1, size of lhs = 2:
% 1.08/1.29 P_empty_set-{F}(V0), pppp9-{F}(V1,V2,V3) | P_difference-{T}(V1,V2,V0), P_difference-{T}(V1,V2,V3)
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #363: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #356 ), references = 2, size of lhs = 4:
% 1.08/1.29 P_empty_set-{F}(V0), pppp10-{F}(V0,V1), P_difference-{F}(V2,V0,V1), P_difference-{F}(V3,V0,V1) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #366: exists( #36, #364 ), references = 1, size of lhs = 1:
% 1.08/1.29 P_empty_set-{F}(V0) | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 #368: exists( #41, #365 ), references = 1, size of lhs = 0:
% 1.08/1.29 FALSE | FALSE
% 1.08/1.29 (used 0 times, uses = {})
% 1.08/1.29
% 1.08/1.29 number of learnt formulas = 50
% 1.08/1.29
% 1.08/1.29
% 1.08/1.29 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.29
% 1.08/1.29 randbase = 1
%------------------------------------------------------------------------------