TSTP Solution File: SET600+3 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET600+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:16:25 EDT 2022
% Result : Theorem 0.62s 0.83s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET600+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 01:39:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.62/0.83 GeoParameters:
% 0.62/0.83
% 0.62/0.83 tptp_input = 1
% 0.62/0.83 tptp_output = 0
% 0.62/0.83 nonempty = 1
% 0.62/0.83 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.83 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.62/0.83
% 0.62/0.83
% 0.62/0.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.83
% 0.62/0.83 RuleSystem INPUT:
% 0.62/0.83
% 0.62/0.83 Initial Rules:
% 0.62/0.83 #0: input, references = 5, size of lhs = 2:
% 0.62/0.83 P_union-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #1: input, references = 5, size of lhs = 2:
% 0.62/0.83 P_union-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #2: input, references = 4, size of lhs = 1:
% 0.62/0.83 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #3: input, references = 3, size of lhs = 2:
% 0.62/0.83 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #4: input, references = 5, size of lhs = 2:
% 0.62/0.83 #-{F} V1, member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #5: input, references = 7, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #6: input, references = 3, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), #-{F} V2 | pppp1-{T}(V2,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #7: input, references = 3, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), V1 == V2 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #8: input, references = 3, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), pppp1-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #9: input, references = 3, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), pppp1-{F}(V1,V2) | subset-{T}(V2,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #10: input, references = 3, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V2,V1) | pppp1-{T}(V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #11: input, references = 4, size of lhs = 4:
% 0.62/0.83 P_empty_set-{F}(V0), P_union-{F}(V1,V2,V3), P_union-{F}(V2,V1,V4), V3 == V4 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #12: input, references = 3, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), subset-{F}(V1,V2) | pppp2-{T}(V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #13: input, references = 3, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #14: input, references = 5, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #15: input, references = 5, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp2-{T}(V1,V2), pppp11-{T}(V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #16: input, references = 4, size of lhs = 1:
% 0.62/0.83 pppp11-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V0,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #17: input, references = 3, size of lhs = 2:
% 0.62/0.83 pppp6-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #18: input, references = 5, size of lhs = 1:
% 0.62/0.83 pppp6-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #19: input, references = 3, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #20: input, references = 3, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #21: input, references = 3, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), pppp3-{F}(V1) | empty-{T}(V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #22: input, references = 7, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp3-{F}(V1), member-{F}(V2,V1) | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #23: input, references = 6, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), #-{F} V1 | pppp3-{T}(V1), pppp12-{T}(V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #24: input, references = 4, size of lhs = 1:
% 0.62/0.83 pppp12-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #25: input, references = 4, size of lhs = 1:
% 0.62/0.83 pppp7-{F}(V0,V1) | member-{T}(V1,V0)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #26: input, references = 3, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), #-{F} V2 | pppp4-{T}(V2,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #27: input, references = 3, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp4-{F}(V1,V2), V1 == V2 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #28: input, references = 3, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp4-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #29: input, references = 3, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp4-{F}(V1,V2), member-{F}(V3,V2) | member-{T}(V3,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #30: input, references = 4, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp4-{T}(V1,V2), pppp13-{T}(V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #31: input, references = 5, size of lhs = 1:
% 0.62/0.83 pppp13-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V2,V0,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #32: input, references = 6, size of lhs = 3:
% 0.62/0.83 pppp8-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #33: input, references = 5, size of lhs = 1:
% 0.62/0.83 pppp8-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #34: input, references = 4, size of lhs = 1:
% 0.62/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #35: input, references = 4, size of lhs = 1:
% 0.62/0.83 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V1,V2,V0)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #36: input, references = 4, size of lhs = 3:
% 0.62/0.83 pppp9-{F}(V0,V1,V2), P_union-{F}(V0,V1,V2), pppp5-{F}(V0,V1) | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #37: input, references = 5, size of lhs = 3:
% 0.62/0.83 pppp9-{F}(V0,V1,V2), P_union-{F}(V0,V1,V3), V3 == V2 | pppp5-{T}(V0,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #38: input, references = 4, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp5-{F}(V1,V2), V1 == V0 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #39: input, references = 4, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp5-{F}(V1,V2), V2 == V0 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #40: input, references = 4, size of lhs = 1:
% 0.62/0.83 P_empty_set-{F}(V0) | pppp5-{T}(V0,V0)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #41: input, references = 7, size of lhs = 2:
% 0.62/0.83 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #42: input, references = 4, size of lhs = 0:
% 0.62/0.83 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 number of initial rules = 43
% 0.62/0.83
% 0.62/0.83 Simplifiers:
% 0.62/0.83 #43: unsound, references = 3, size of lhs = 3:
% 0.62/0.83 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #44: unsound, references = 3, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #45: unsound, references = 3, size of lhs = 3:
% 0.62/0.83 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #46: unsound, references = 3, size of lhs = 3:
% 0.62/0.83 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #47: unsound, references = 3, size of lhs = 3:
% 0.62/0.83 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #48: unsound, references = 3, size of lhs = 3:
% 0.62/0.83 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #49: unsound, references = 3, size of lhs = 3:
% 0.62/0.83 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V2), V0 == V3 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #50: unsound, references = 3, size of lhs = 3:
% 0.62/0.83 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #51: unsound, references = 3, size of lhs = 3:
% 0.62/0.83 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #52: unsound, references = 3, size of lhs = 3:
% 0.62/0.83 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 number of simplifiers = 10
% 0.62/0.83
% 0.62/0.83 Learnt:
% 0.62/0.83 #55: mergings( V0 == V3; #53 ), references = 6, size of lhs = 4:
% 0.62/0.83 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | pppp13-{T}(V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #58: disj( #33, input ), references = 5, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), pppp8-{F}(V1,V0,V2) | member-{T}(V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #59: disj( #33, input ), references = 3, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp8-{F}(V2,V1,V3) | member-{T}(V2,V3)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #62: mergings( V0 == V2; #60 ), references = 1, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp12-{T}(V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #69: mergings( V0 == V3, V3 == V2; #65 ), references = 1, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp11-{T}(V2,V0)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #71: mergings( V0 == V3; #66 ), references = 1, size of lhs = 4:
% 0.62/0.83 P_empty_set-{F}(V0), member-{F}(V1,V2), member-{F}(V1,V3), pppp8-{F}(V1,V4,V3) | pppp11-{T}(V2,V4)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #75: exists( #41, #11 ), references = 2, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), P_union-{F}(V1,V2,V3) | P_union-{T}(V2,V1,V3)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #79: exists( #24, #76 ), references = 1, size of lhs = 2:
% 0.62/0.83 pppp12-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #82: mergings( V0 == V1; #80 ), references = 1, size of lhs = 1:
% 0.62/0.83 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #88: exists( #16, #84 ), references = 1, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), pppp11-{F}(V0,V1) | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #89: exists( #16, #85 ), references = 1, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp11-{F}(V1,V2) | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #93: mergings( V0 == V1; #90 ), references = 1, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), #-{F} V1 | pppp2-{T}(V0,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #95: mergings( V0 == V3; #91 ), references = 1, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp3-{F}(V1), #-{F} V2 | pppp2-{T}(V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #101: exists( #41, #99 ), references = 3, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp9-{F}(V1,V2,V3), V2 == V0 | P_union-{T}(V1,V2,V3)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #144: exists( #31, #140 ), references = 2, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp13-{F}(V0,V1), P_union-{F}(V2,V1,V0) | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #147: mergings( V0 == V3; #143 ), references = 1, size of lhs = 4:
% 0.62/0.83 P_empty_set-{F}(V0), pppp13-{F}(V0,V1), pppp3-{F}(V2), P_union-{F}(V3,V1,V2) | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #159: mergings( V3 == V4, V4 == V0; #154 ), references = 3, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), pppp10-{F}(V0,V1) | pppp9-{T}(V1,V0,V0)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #166: mergings( V3 == V4, V4 == V5, V5 == V6; #156 ), references = 1, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp10-{F}(V1,V2) | pppp9-{T}(V2,V0,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #170: disj( #2, input ), references = 3, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), pppp0-{F}(V1,V0,V2) | member-{T}(V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #171: disj( #2, input ), references = 1, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp0-{F}(V2,V1,V3) | member-{T}(V2,V3)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #172: disj( #2, input ), references = 1, size of lhs = 3:
% 0.62/0.83 member-{F}(V0,V1), pppp8-{F}(V0,V2,V1), pppp0-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #185: mergings( V0 == V2, V2 == V3; #181 ), references = 1, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), pppp8-{F}(V1,V2,V0) | pppp12-{T}(V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #188: mergings( V0 == V2, V2 == V3; #182 ), references = 1, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp8-{F}(V2,V3,V1) | pppp12-{T}(V3)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #203: mergings( V0 == V3; #200 ), references = 1, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp13-{F}(V0,V1), P_union-{F}(V0,V0,V1) | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #208: mergings( V0 == V3, V3 == V4; #201 ), references = 1, size of lhs = 4:
% 0.62/0.83 P_empty_set-{F}(V0), pppp13-{F}(V0,V1), pppp3-{F}(V2), P_union-{F}(V0,V2,V1) | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #217: mergings( V3 == V1, V1 == V0; #212 ), references = 1, size of lhs = 1:
% 0.62/0.83 P_empty_set-{F}(V0) | P_union-{T}(V0,V0,V0)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #224: mergings( V3 == V4, V4 == V0, V0 == V5; #214 ), references = 1, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), pppp3-{F}(V1) | P_union-{T}(V0,V1,V0)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #229: disj( #33, input ), references = 1, size of lhs = 2:
% 0.62/0.83 P_empty_set-{F}(V0), pppp8-{F}(V1,V2,V0) | member-{T}(V1,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #230: disj( #33, input ), references = 1, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp8-{F}(V2,V3,V1) | member-{T}(V2,V3)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #231: disj( #33, input ), references = 1, size of lhs = 2:
% 0.62/0.83 pppp8-{F}(V0,V1,V2), pppp6-{F}(V0,V3,V2) | member-{T}(V0,V1)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #235: mergings( V1 == V3; #233 ), references = 2, size of lhs = 3:
% 0.62/0.83 P_empty_set-{F}(V0), pppp9-{F}(V1,V0,V2), V1 == V0 | P_union-{T}(V1,V0,V2)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #257: mergings( V2 == V3, V3 == V0; #253 ), references = 1, size of lhs = 1:
% 0.62/0.83 P_empty_set-{F}(V0) | pppp10-{T}(V0,V0)
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 #263: exists( #42, #261 ), references = 1, size of lhs = 0:
% 0.62/0.83 FALSE | FALSE
% 0.62/0.83 (used 0 times, uses = {})
% 0.62/0.83
% 0.62/0.83 number of learnt formulas = 33
% 0.62/0.83
% 0.62/0.83
% 0.62/0.83 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.83
% 0.62/0.83 randbase = 1
%------------------------------------------------------------------------------