TSTP Solution File: SET619+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET619+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:16:28 EDT 2022
% Result : Theorem 40.30s 40.56s
% Output : Refutation 40.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET619+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.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 01:50:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 40.30/40.56 GeoParameters:
% 40.30/40.56
% 40.30/40.56 tptp_input = 1
% 40.30/40.56 tptp_output = 0
% 40.30/40.56 nonempty = 1
% 40.30/40.56 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.30/40.56 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 40.30/40.56
% 40.30/40.56
% 40.30/40.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.30/40.56 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.30/40.56
% 40.30/40.56 RuleSystem INPUT:
% 40.30/40.56
% 40.30/40.56 Initial Rules:
% 40.30/40.56 #0: input, references = 9, size of lhs = 5:
% 40.30/40.56 P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_difference-{F}(V1,V0,V4), P_union-{F}(V3,V4,V5), V2 == V5 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #1: input, references = 9, size of lhs = 5:
% 40.30/40.56 P_union-{F}(V0,V1,V3), P_union-{F}(V3,V2,V4), P_union-{F}(V1,V2,V5), P_union-{F}(V0,V5,V6), V4 == V6 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #2: input, references = 6, size of lhs = 3:
% 40.30/40.56 P_intersection-{F}(V0,V1,V2), P_union-{F}(V0,V2,V3), V3 == V0 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #3: input, references = 4, size of lhs = 4:
% 40.30/40.56 P_intersection-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_union-{F}(V2,V3,V4), V4 == V0 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #4: input, references = 6, size of lhs = 2:
% 40.30/40.56 P_union-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V0,V1,V2)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #5: input, references = 10, size of lhs = 2:
% 40.30/40.56 P_union-{F}(V0,V1,V3), pppp0-{F}(V0,V1,V2) | member-{T}(V2,V3)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #6: input, references = 4, size of lhs = 1:
% 40.30/40.56 pppp0-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #7: input, references = 3, size of lhs = 2:
% 40.30/40.56 #-{F} V1, member-{F}(V2,V0) | pppp0-{T}(V0,V1,V2)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #8: input, references = 8, size of lhs = 2:
% 40.30/40.56 #-{F} V0, member-{F}(V2,V1) | pppp0-{T}(V0,V1,V2)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #9: input, references = 4, size of lhs = 2:
% 40.30/40.56 P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp1-{T}(V0,V1,V2)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #10: input, references = 5, size of lhs = 2:
% 40.30/40.56 P_intersection-{F}(V0,V1,V3), pppp1-{F}(V0,V1,V2) | member-{T}(V2,V3)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #11: input, references = 4, size of lhs = 1:
% 40.30/40.56 pppp1-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #12: input, references = 3, size of lhs = 1:
% 40.30/40.56 pppp1-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #13: input, references = 5, size of lhs = 2:
% 40.30/40.56 member-{F}(V2,V0), member-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #14: input, references = 3, size of lhs = 1:
% 40.30/40.56 #-{F} V1 | pppp2-{T}(V1,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #15: input, references = 4, size of lhs = 2:
% 40.30/40.56 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #16: input, references = 3, size of lhs = 1:
% 40.30/40.56 pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #17: input, references = 3, size of lhs = 1:
% 40.30/40.56 pppp2-{F}(V0,V1) | subset-{T}(V1,V0)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #18: input, references = 4, size of lhs = 2:
% 40.30/40.56 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp2-{T}(V0,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #19: input, references = 5, size of lhs = 3:
% 40.30/40.56 P_union-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V2 == V3 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #20: input, references = 5, size of lhs = 3:
% 40.30/40.56 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), V2 == V3 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #21: input, references = 4, size of lhs = 3:
% 40.30/40.56 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V3), V2 == V3 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #22: input, references = 3, size of lhs = 1:
% 40.30/40.56 #-{F} V1 | pppp3-{T}(V1,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #23: input, references = 3, size of lhs = 2:
% 40.30/40.56 pppp3-{F}(V0,V1), V0 == V1 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #24: input, references = 3, size of lhs = 2:
% 40.30/40.56 pppp3-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #25: input, references = 3, size of lhs = 2:
% 40.30/40.56 pppp3-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #26: input, references = 4, size of lhs = 2:
% 40.30/40.56 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp9-{T}(V0,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #27: input, references = 5, size of lhs = 1:
% 40.30/40.56 pppp9-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #28: input, references = 12, size of lhs = 3:
% 40.30/40.56 pppp5-{F}(V0,V1,V2), member-{F}(V2,V1), member-{F}(V2,V0) | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #29: input, references = 6, size of lhs = 1:
% 40.30/40.56 pppp5-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #30: input, references = 3, size of lhs = 1:
% 40.30/40.56 subset-{F}(V0,V1) | pppp4-{T}(V0,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #31: input, references = 4, size of lhs = 1:
% 40.30/40.56 pppp4-{F}(V0,V1) | subset-{T}(V0,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #32: input, references = 5, size of lhs = 2:
% 40.30/40.56 pppp4-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #33: input, references = 7, size of lhs = 2:
% 40.30/40.56 #-{F} V0, #-{F} V1 | pppp4-{T}(V0,V1), pppp10-{T}(V0,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #34: input, references = 4, size of lhs = 1:
% 40.30/40.56 pppp10-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #35: input, references = 4, size of lhs = 2:
% 40.30/40.56 pppp6-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #36: input, references = 4, size of lhs = 1:
% 40.30/40.56 pppp6-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #37: input, references = 3, size of lhs = 1:
% 40.30/40.56 #-{F} V0 | subset-{T}(V0,V0)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #38: input, references = 4, size of lhs = 0:
% 40.30/40.56 FALSE | EXISTS V0: pppp8-{T}(V0)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #39: input, references = 4, size of lhs = 1:
% 40.30/40.56 pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #40: input, references = 5, size of lhs = 5:
% 40.30/40.56 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V5), P_symmetric_difference-{F}(V0,V1,V3), P_intersection-{F}(V0,V1,V4), P_union-{F}(V3,V4,V5) | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #41: input, references = 7, size of lhs = 2:
% 40.30/40.56 #-{F} V0, #-{F} V1 | EXISTS V2: P_symmetric_difference-{T}(V0,V1,V2)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #42: input, references = 13, size of lhs = 2:
% 40.30/40.56 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #43: input, references = 26, size of lhs = 2:
% 40.30/40.56 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #44: input, references = 25, size of lhs = 2:
% 40.30/40.56 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 number of initial rules = 45
% 40.30/40.56
% 40.30/40.56 Simplifiers:
% 40.30/40.56 #45: unsound, references = 3, size of lhs = 3:
% 40.30/40.56 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #46: unsound, references = 3, size of lhs = 3:
% 40.30/40.56 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #47: unsound, references = 3, size of lhs = 3:
% 40.30/40.56 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #48: unsound, references = 3, size of lhs = 3:
% 40.30/40.56 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #49: unsound, references = 3, size of lhs = 3:
% 40.30/40.56 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #50: unsound, references = 3, size of lhs = 3:
% 40.30/40.56 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #51: unsound, references = 3, size of lhs = 3:
% 40.30/40.56 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #52: unsound, references = 3, size of lhs = 3:
% 40.30/40.56 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 #53: unsound, references = 3, size of lhs = 3:
% 40.30/40.56 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.56
% 40.30/40.56 number of simplifiers = 9
% 40.30/40.56
% 40.30/40.56 Learnt:
% 40.30/40.56 #55: disj( #26, input ), references = 3, size of lhs = 3:
% 40.30/40.56 #-{F} V0, #-{F} V1, V0 == V1 | pppp9-{T}(V0,V1)
% 40.30/40.56 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #59: exists( #42, #3 ), references = 43, size of lhs = 2:
% 40.30/40.57 P_intersection-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3) | P_union-{T}(V2,V3,V0)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #60: exists( #42, #19 ), references = 65, size of lhs = 1:
% 40.30/40.57 P_union-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #61: exists( #42, #1 ), references = 67, size of lhs = 3:
% 40.30/40.57 P_union-{F}(V0,V1,V2), P_union-{F}(V1,V3,V4), P_union-{F}(V0,V4,V5) | P_union-{T}(V2,V3,V5)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #66: exists( #44, #64 ), references = 1, size of lhs = 4:
% 40.30/40.57 P_difference-{F}(V0,V1,V2), P_union-{F}(V3,V2,V0), P_union-{F}(V3,V0,V4), V4 == V0 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #69: exists( #44, #20 ), references = 22, size of lhs = 1:
% 40.30/40.57 P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V1,V0,V2)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #80: disj( #29, #8+#5+#28 ), references = 1, size of lhs = 3:
% 40.30/40.57 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V0,V2), P_union-{F}(V4,V0,V3) | member-{T}(V2,V1)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #86: disj( #33, #31+#18+#15 ), references = 1, size of lhs = 2:
% 40.30/40.57 subset-{F}(V0,V1), V1 == V0 | pppp10-{T}(V1,V0)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #91: exists( #44, #89 ), references = 2, size of lhs = 4:
% 40.30/40.57 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V1), P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V2) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #93: exists( #41, #21 ), references = 3, size of lhs = 1:
% 40.30/40.57 P_symmetric_difference-{F}(V0,V1,V2) | P_symmetric_difference-{T}(V1,V0,V2)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #100: exists( #44, #98 ), references = 6, size of lhs = 6:
% 40.30/40.57 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V3), P_difference-{F}(V0,V1,V4), P_union-{F}(V5,V4,V3), P_union-{F}(V5,V0,V2) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #105: disj( #29, #8+#5+#28 ), references = 1, size of lhs = 3:
% 40.30/40.57 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), P_union-{F}(V4,V1,V3) | member-{T}(V2,V0)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #110: exists( #27, #108 ), references = 2, size of lhs = 3:
% 40.30/40.57 pppp9-{F}(V0,V1), P_intersection-{F}(V0,V0,V1), P_union-{F}(V2,V1,V0) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #117: exists( #44, #115 ), references = 1, size of lhs = 1:
% 40.30/40.57 P_difference-{F}(V0,V0,V1) | P_intersection-{T}(V0,V0,V0)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #121: exists( #43, #118 ), references = 1, size of lhs = 2:
% 40.30/40.57 P_union-{F}(V0,V0,V1), V1 == V0 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #123: exists( #42, #120 ), references = 22, size of lhs = 1:
% 40.30/40.57 #-{F} V0 | P_union-{T}(V0,V0,V0)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #126: disj( #33, #32+#28 ), references = 1, size of lhs = 3:
% 40.30/40.57 member-{F}(V0,V1), member-{F}(V0,V2), pppp5-{F}(V2,V3,V0) | pppp10-{T}(V1,V3)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #136: exists( #44, #134 ), references = 2, size of lhs = 7:
% 40.30/40.57 P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V3), P_difference-{F}(V4,V3,V2), P_symmetric_difference-{F}(V1,V0,V5), P_difference-{F}(V3,V4,V6), P_union-{F}(V6,V4,V7), V5 == V7 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #143: exists( #44, #141 ), references = 2, size of lhs = 6:
% 40.30/40.57 P_union-{F}(V0,V1,V0), P_difference-{F}(V2,V3,V1), P_difference-{F}(V3,V2,V4), P_difference-{F}(V4,V5,V0), P_symmetric_difference-{F}(V3,V2,V6), V6 == V4 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #147: disj( #29, #8+#5+#28 ), references = 2, size of lhs = 3:
% 40.30/40.57 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V3,V2), P_union-{F}(V4,V0,V3) | member-{T}(V2,V1)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #151: exists( #43, #149 ), references = 1, size of lhs = 1:
% 40.30/40.57 P_symmetric_difference-{F}(V0,V0,V1) | P_difference-{T}(V0,V0,V1)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #155: exists( #41, #152 ), references = 1, size of lhs = 2:
% 40.30/40.57 pppp7-{F}(V0,V0), P_union-{F}(V0,V0,V0) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #162: exists( #44, #160 ), references = 2, size of lhs = 4:
% 40.30/40.57 P_union-{F}(V0,V1,V2), P_difference-{F}(V1,V3,V4), V2 == V3, P_union-{F}(V0,V4,V3) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #167: disj( #33, #32+#28 ), references = 1, size of lhs = 3:
% 40.30/40.57 member-{F}(V0,V1), member-{F}(V0,V2), pppp5-{F}(V3,V2,V0) | pppp10-{T}(V1,V3)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #172: mergings( V1 == V4; #170 ), references = 1, size of lhs = 4:
% 40.30/40.57 P_difference-{F}(V0,V1,V0), P_symmetric_difference-{F}(V0,V1,V2), P_union-{F}(V0,V1,V3), V2 == V3 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #193: mergings( V3 == V0; #189 ), references = 1, size of lhs = 6:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_intersection-{F}(V0,V1,V2), P_difference-{F}(V3,V4,V0), P_difference-{F}(V4,V3,V2), P_symmetric_difference-{F}(V3,V4,V5), V5 == V0 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #196: mergings( V3 == V0, V6 == V8; #190 ), references = 3, size of lhs = 5:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_intersection-{F}(V0,V1,V2), P_union-{F}(V3,V0,V4), P_union-{F}(V4,V2,V5), V5 == V4 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #197: exists( #43, #188 ), references = 1, size of lhs = 7:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_intersection-{F}(V0,V1,V2), P_difference-{F}(V3,V4,V2), P_difference-{F}(V4,V3,V5), P_difference-{F}(V5,V6,V0), P_symmetric_difference-{F}(V4,V3,V7), V7 == V5 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #206: exists( #44, #204 ), references = 7, size of lhs = 6:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_difference-{F}(V1,V0,V2), P_union-{F}(V3,V2,V4), P_union-{F}(V3,V1,V5), V5 == V4, P_union-{F}(V6,V0,V4) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #221: mergings( V4 == V0, V9 == V11; #218 ), references = 1, size of lhs = 8:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_intersection-{F}(V1,V2,V3), P_union-{F}(V4,V0,V5), P_union-{F}(V3,V6,V5), P_difference-{F}(V7,V0,V6), V7 == V5, P_union-{F}(V8,V1,V7) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #227: mergings( V4 == V1, V7 == V9; #224 ), references = 1, size of lhs = 7:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_union-{F}(V2,V0,V3), P_difference-{F}(V3,V1,V4), P_difference-{F}(V5,V0,V4), V5 == V3, P_union-{F}(V6,V1,V5) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #237: exists( #44, #235 ), references = 1, size of lhs = 7:
% 40.30/40.57 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V3), P_union-{F}(V3,V0,V2), P_difference-{F}(V0,V1,V4), P_union-{F}(V5,V4,V5), P_difference-{F}(V3,V6,V5) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #241: mergings( V3 == V0; #239 ), references = 1, size of lhs = 4:
% 40.30/40.57 P_union-{F}(V0,V0,V0), pppp7-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V0), P_union-{F}(V0,V1,V0) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #274: exists( #27, #272 ), references = 1, size of lhs = 4:
% 40.30/40.57 pppp9-{F}(V0,V1), P_union-{F}(V2,V0,V1), P_intersection-{F}(V1,V3,V0), P_union-{F}(V4,V1,V3) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #280: exists( #44, #278 ), references = 4, size of lhs = 2:
% 40.30/40.57 P_union-{F}(V0,V1,V2), P_difference-{F}(V1,V2,V3) | P_intersection-{T}(V2,V1,V1)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #298: exists( #44, #292 ), references = 1, size of lhs = 4:
% 40.30/40.57 P_union-{F}(V0,V1,V0), P_difference-{F}(V2,V3,V0), P_union-{F}(V2,V1,V4), V4 == V2 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #299: exists( #44, #293 ), references = 1, size of lhs = 5:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_difference-{F}(V1,V2,V0), P_intersection-{F}(V0,V3,V4), P_union-{F}(V1,V4,V5), V5 == V1 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #300: exists( #44, #294 ), references = 1, size of lhs = 6:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_difference-{F}(V1,V0,V2), P_union-{F}(V3,V2,V4), P_difference-{F}(V4,V5,V0), P_union-{F}(V3,V1,V6), V6 == V4 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #312: exists( #44, #310 ), references = 1, size of lhs = 7:
% 40.30/40.57 P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V3), P_difference-{F}(V4,V3,V2), P_difference-{F}(V3,V4,V5), P_union-{F}(V3,V4,V6), P_symmetric_difference-{F}(V1,V0,V7), V7 == V6 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #314: exists( #43, #311 ), references = 1, size of lhs = 6:
% 40.30/40.57 P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V3), P_difference-{F}(V4,V3,V2), P_union-{F}(V3,V4,V5), P_symmetric_difference-{F}(V1,V0,V6), V6 == V5 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #316: disj( #6, input ), references = 4, size of lhs = 3:
% 40.30/40.57 member-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp0-{F}(V3,V2,V0) | member-{T}(V0,V3)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #337: exists( #34, #335 ), references = 2, size of lhs = 2:
% 40.30/40.57 pppp10-{F}(V0,V1), P_union-{F}(V2,V0,V1) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #339: disj( #33, exists( #34, #335 ) ), references = 1, size of lhs = 1:
% 40.30/40.57 P_union-{F}(V0,V1,V2) | pppp4-{T}(V1,V2)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #359: exists( #44, #357 ), references = 1, size of lhs = 2:
% 40.30/40.57 pppp10-{F}(V0,V1), P_difference-{F}(V1,V2,V0) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #377: exists( #44, #375 ), references = 2, size of lhs = 8:
% 40.30/40.57 member-{F}(V0,V1), member-{F}(V0,V2), member-{F}(V0,V3), pppp5-{F}(V3,V4,V0), pppp5-{F}(V2,V5,V0), P_union-{F}(V6,V7,V1), P_difference-{F}(V7,V4,V8), P_union-{F}(V6,V8,V5) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #384: exists( #42, #0 ), references = 12, size of lhs = 3:
% 40.30/40.57 P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_difference-{F}(V1,V0,V4) | P_union-{T}(V3,V4,V2)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #405: mergings( V5 == V3; #402 ), references = 1, size of lhs = 8:
% 40.30/40.57 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V0), P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_union-{F}(V4,V5,V0), P_symmetric_difference-{F}(V5,V6,V2), P_difference-{F}(V6,V5,V3), P_union-{F}(V7,V5,V6) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #407: mergings( V6 == V7; #403 ), references = 1, size of lhs = 8:
% 40.30/40.57 P_union-{F}(V0,V1,V2), P_difference-{F}(V2,V1,V3), P_symmetric_difference-{F}(V1,V2,V4), P_union-{F}(V5,V1,V6), P_union-{F}(V7,V2,V6), P_union-{F}(V7,V1,V8), P_union-{F}(V4,V8,V9), V9 == V6 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #411: mergings( V3 == V0; #409 ), references = 1, size of lhs = 6:
% 40.30/40.57 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V0), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V2), P_union-{F}(V3,V1,V0), P_union-{F}(V4,V1,V0) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #415: mergings( V3 == V0; #413 ), references = 1, size of lhs = 4:
% 40.30/40.57 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V0), P_union-{F}(V2,V1,V0), P_union-{F}(V3,V1,V0) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #421: exists( #43, #419 ), references = 1, size of lhs = 3:
% 40.30/40.57 P_union-{F}(V0,V1,V2), P_intersection-{F}(V1,V2,V3), V3 == V1 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #424: exists( #44, #422 ), references = 1, size of lhs = 1:
% 40.30/40.57 P_union-{F}(V0,V1,V2) | P_intersection-{T}(V2,V1,V1)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #450: exists( #43, #444 ), references = 1, size of lhs = 6:
% 40.30/40.57 P_union-{F}(V0,V1,V0), P_difference-{F}(V2,V3,V0), P_symmetric_difference-{F}(V3,V2,V4), P_difference-{F}(V5,V4,V1), P_union-{F}(V4,V5,V6), V6 == V4 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #451: exists( #43, #445 ), references = 1, size of lhs = 8:
% 40.30/40.57 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V3), P_union-{F}(V3,V0,V2), P_difference-{F}(V0,V1,V4), P_union-{F}(V5,V4,V5), P_symmetric_difference-{F}(V6,V7,V3), P_difference-{F}(V7,V6,V5) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #452: exists( #43, #446 ), references = 1, size of lhs = 8:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_difference-{F}(V1,V0,V2), P_union-{F}(V3,V2,V3), P_difference-{F}(V4,V5,V3), P_symmetric_difference-{F}(V5,V4,V6), P_union-{F}(V6,V1,V7), V7 == V6, P_union-{F}(V8,V0,V6) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #459: exists( #43, #453 ), references = 2, size of lhs = 3:
% 40.30/40.57 P_symmetric_difference-{F}(V0,V1,V0), P_union-{F}(V0,V1,V2), V2 == V0 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #460: exists( #43, #454 ), references = 1, size of lhs = 5:
% 40.30/40.57 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V3), P_union-{F}(V3,V0,V2), P_symmetric_difference-{F}(V1,V0,V3) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #461: exists( #43, #455 ), references = 2, size of lhs = 5:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_symmetric_difference-{F}(V0,V1,V2), P_union-{F}(V2,V1,V3), V3 == V2, P_union-{F}(V4,V0,V2) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #468: exists( #42, #463 ), references = 1, size of lhs = 3:
% 40.30/40.57 pppp7-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V1), P_symmetric_difference-{F}(V1,V0,V1) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #469: exists( #42, #462 ), references = 1, size of lhs = 3:
% 40.30/40.57 P_symmetric_difference-{F}(V0,V1,V0), P_union-{F}(V1,V0,V2), V2 == V0 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #470: exists( #42, #464 ), references = 1, size of lhs = 5:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_symmetric_difference-{F}(V0,V1,V2), P_union-{F}(V1,V2,V3), V3 == V2, P_union-{F}(V4,V0,V2) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #474: exists( #42, #459 ), references = 1, size of lhs = 1:
% 40.30/40.57 P_symmetric_difference-{F}(V0,V1,V0) | P_union-{T}(V0,V1,V0)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #475: exists( #42, #461 ), references = 1, size of lhs = 3:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_symmetric_difference-{F}(V0,V1,V2), P_union-{F}(V3,V0,V2) | P_union-{T}(V2,V1,V2)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #510: exists( #44, #506 ), references = 2, size of lhs = 8:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_difference-{F}(V1,V0,V2), P_difference-{F}(V3,V4,V2), P_difference-{F}(V4,V3,V5), P_union-{F}(V4,V3,V6), P_union-{F}(V4,V1,V7), V7 == V6, P_union-{F}(V8,V0,V6) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #511: exists( #44, #507 ), references = 1, size of lhs = 8:
% 40.30/40.57 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V3), P_difference-{F}(V0,V1,V4), P_union-{F}(V5,V0,V2), P_union-{F}(V5,V6,V3), P_difference-{F}(V6,V5,V4), P_difference-{F}(V5,V6,V7) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #514: exists( #43, #509 ), references = 1, size of lhs = 7:
% 40.30/40.57 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V3), P_difference-{F}(V0,V1,V4), P_union-{F}(V5,V0,V2), P_union-{F}(V5,V6,V3), P_difference-{F}(V6,V5,V4) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #536: mergings( V9 == V10, V10 == V13; #533 ), references = 1, size of lhs = 9:
% 40.30/40.57 P_union-{F}(V0,V1,V0), P_difference-{F}(V2,V3,V0), P_difference-{F}(V3,V2,V4), P_union-{F}(V4,V5,V4), P_union-{F}(V5,V1,V6), P_union-{F}(V7,V3,V8), P_union-{F}(V8,V6,V9), V8 == V9, P_union-{F}(V10,V2,V8) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #544: mergings( V7 == V8, V8 == V11, V4 == V3; #540 ), references = 1, size of lhs = 7:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_difference-{F}(V1,V2,V0), P_symmetric_difference-{F}(V2,V1,V3), P_union-{F}(V4,V1,V5), P_union-{F}(V5,V3,V6), V5 == V6, P_union-{F}(V7,V2,V5) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #549: mergings( V5 == V6, V6 == V9; #546 ), references = 1, size of lhs = 5:
% 40.30/40.57 P_symmetric_difference-{F}(V0,V1,V2), P_union-{F}(V3,V1,V4), P_union-{F}(V4,V2,V5), V4 == V5, P_union-{F}(V6,V0,V4) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #556: exists( #42, #554 ), references = 4, size of lhs = 4:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_symmetric_difference-{F}(V1,V0,V2), P_union-{F}(V1,V2,V3), P_union-{F}(V0,V3,V4) | P_union-{T}(V0,V1,V4)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #581: exists( #43, #510 ), references = 1, size of lhs = 7:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_difference-{F}(V1,V0,V2), P_difference-{F}(V3,V4,V2), P_union-{F}(V4,V3,V5), P_union-{F}(V4,V1,V6), V6 == V5, P_union-{F}(V7,V0,V5) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #604: mergings( V5 == V11; #602 ), references = 1, size of lhs = 11:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V3), P_union-{F}(V1,V0,V4), P_union-{F}(V0,V1,V4), P_union-{F}(V3,V5,V3), P_union-{F}(V5,V2,V6), P_difference-{F}(V7,V0,V6), P_union-{F}(V1,V7,V8), V8 == V4, P_union-{F}(V9,V1,V4) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #608: mergings( V7 == V9; #606 ), references = 1, size of lhs = 13:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V3), P_union-{F}(V1,V0,V4), P_union-{F}(V0,V1,V4), P_union-{F}(V5,V1,V4), P_union-{F}(V3,V6,V3), P_difference-{F}(V7,V8,V6), P_difference-{F}(V8,V7,V2), P_symmetric_difference-{F}(V7,V8,V9), P_difference-{F}(V10,V0,V9), P_union-{F}(V1,V10,V11), V11 == V4 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #612: mergings( V4 == V6, V3 == V7; #609 ), references = 2, size of lhs = 10:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_difference-{F}(V2,V0,V1), P_union-{F}(V2,V0,V3), P_union-{F}(V0,V2,V3), P_union-{F}(V4,V2,V3), P_symmetric_difference-{F}(V2,V0,V5), P_difference-{F}(V6,V0,V5), P_union-{F}(V2,V6,V7), V7 == V3 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #664: mergings( V6 == V1, V9 == V11; #659 ), references = 1, size of lhs = 11:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_symmetric_difference-{F}(V1,V0,V2), P_union-{F}(V1,V0,V3), P_difference-{F}(V1,V4,V5), P_difference-{F}(V4,V1,V6), P_union-{F}(V5,V6,V2), P_union-{F}(V1,V4,V7), P_union-{F}(V8,V1,V7), P_union-{F}(V0,V7,V9), V3 == V9 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #667: mergings( V5 == V1, V8 == V10; #660 ), references = 1, size of lhs = 13:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V3,V4), P_difference-{F}(V3,V0,V5), P_union-{F}(V4,V5,V2), P_union-{F}(V0,V3,V6), P_union-{F}(V7,V0,V6), P_union-{F}(V1,V6,V8), P_union-{F}(V9,V10,V1), P_union-{F}(V10,V0,V11), P_union-{F}(V9,V11,V12), V8 == V12 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #670: mergings( V9 == V1, V12 == V14; #661 ), references = 1, size of lhs = 14:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_union-{F}(V2,V2,V2), P_difference-{F}(V2,V1,V3), P_union-{F}(V0,V3,V4), P_union-{F}(V5,V1,V4), P_symmetric_difference-{F}(V2,V0,V6), P_difference-{F}(V2,V7,V8), P_difference-{F}(V7,V2,V9), P_union-{F}(V8,V9,V6), P_union-{F}(V2,V7,V10), P_union-{F}(V11,V2,V10), P_union-{F}(V0,V10,V12), V12 == V4 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #682: mergings( V6 == V0, V8 == V10; #677 ), references = 1, size of lhs = 10:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_symmetric_difference-{F}(V1,V0,V2), P_union-{F}(V1,V0,V3), P_symmetric_difference-{F}(V4,V1,V2), P_difference-{F}(V4,V1,V5), P_union-{F}(V1,V4,V6), P_union-{F}(V7,V1,V6), P_union-{F}(V0,V6,V8), V3 == V8 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #685: mergings( V5 == V0, V7 == V9; #678 ), references = 1, size of lhs = 12:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V3,V0,V2), P_difference-{F}(V3,V0,V4), P_union-{F}(V0,V3,V5), P_union-{F}(V6,V0,V5), P_union-{F}(V1,V5,V7), P_union-{F}(V8,V9,V1), P_union-{F}(V9,V0,V10), P_union-{F}(V8,V10,V11), V7 == V11 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #688: mergings( V9 == V0, V11 == V13; #679 ), references = 1, size of lhs = 13:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_union-{F}(V2,V2,V2), P_difference-{F}(V2,V1,V3), P_union-{F}(V0,V3,V4), P_union-{F}(V5,V1,V4), P_symmetric_difference-{F}(V2,V0,V6), P_symmetric_difference-{F}(V7,V2,V6), P_difference-{F}(V7,V2,V8), P_union-{F}(V2,V7,V9), P_union-{F}(V10,V2,V9), P_union-{F}(V0,V9,V11), V11 == V4 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #694: mergings( V6 == V1, V7 == V9; #689 ), references = 2, size of lhs = 9:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_symmetric_difference-{F}(V1,V0,V2), P_union-{F}(V1,V0,V3), P_symmetric_difference-{F}(V4,V1,V2), P_union-{F}(V1,V4,V5), P_union-{F}(V6,V1,V5), P_union-{F}(V0,V5,V7), V3 == V7 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #697: mergings( V5 == V1, V6 == V8; #690 ), references = 2, size of lhs = 11:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V3,V0,V2), P_union-{F}(V0,V3,V4), P_union-{F}(V5,V0,V4), P_union-{F}(V1,V4,V6), P_union-{F}(V7,V8,V1), P_union-{F}(V8,V0,V9), P_union-{F}(V7,V9,V10), V6 == V10 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #700: mergings( V9 == V1, V10 == V12; #691 ), references = 2, size of lhs = 12:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_union-{F}(V2,V2,V2), P_difference-{F}(V2,V1,V3), P_union-{F}(V0,V3,V4), P_union-{F}(V5,V1,V4), P_symmetric_difference-{F}(V2,V0,V6), P_symmetric_difference-{F}(V7,V2,V6), P_union-{F}(V2,V7,V8), P_union-{F}(V9,V2,V8), P_union-{F}(V0,V8,V10), V10 == V4 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #710: mergings( V4 == V1, V6 == V8; #705 ), references = 1, size of lhs = 7:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_symmetric_difference-{F}(V1,V0,V2), P_symmetric_difference-{F}(V3,V1,V2), P_union-{F}(V1,V3,V4), P_union-{F}(V5,V1,V4), P_union-{F}(V0,V4,V6) | P_union-{T}(V0,V1,V6)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #713: mergings( V5 == V1, V7 == V9; #706 ), references = 1, size of lhs = 9:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V3,V0,V2), P_union-{F}(V0,V3,V4), P_union-{F}(V5,V0,V4), P_union-{F}(V1,V4,V6), P_union-{F}(V7,V8,V7), P_union-{F}(V8,V7,V1) | P_union-{T}(V7,V0,V6)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #716: mergings( V5 == V3, V7 == V9; #707 ), references = 1, size of lhs = 9:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_symmetric_difference-{F}(V1,V0,V2), P_symmetric_difference-{F}(V3,V1,V2), P_union-{F}(V1,V3,V4), P_union-{F}(V5,V1,V4), P_union-{F}(V0,V4,V6), P_union-{F}(V7,V7,V7), P_difference-{F}(V1,V7,V7) | P_union-{T}(V0,V7,V6)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #735: exists( #42, #731 ), references = 1, size of lhs = 10:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V0,V1), P_union-{F}(V2,V2,V2), P_symmetric_difference-{F}(V2,V0,V3), P_symmetric_difference-{F}(V1,V2,V3), pppp0-{F}(V2,V1,V4), member-{F}(V4,V5), pppp5-{F}(V5,V0,V4), member-{F}(V4,V6), pppp5-{F}(V2,V6,V4) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #736: exists( #42, #732 ), references = 1, size of lhs = 15:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V0,V1), P_union-{F}(V2,V2,V2), P_symmetric_difference-{F}(V2,V0,V3), P_symmetric_difference-{F}(V1,V2,V3), pppp0-{F}(V2,V1,V4), member-{F}(V4,V5), pppp5-{F}(V5,V0,V4), member-{F}(V4,V6), member-{F}(V4,V7), pppp5-{F}(V2,V8,V4), pppp5-{F}(V7,V9,V4), P_union-{F}(V10,V11,V6), P_difference-{F}(V11,V8,V12), P_union-{F}(V10,V12,V9) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #767: mergings( V1 == V5; #763 ), references = 1, size of lhs = 5:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_union-{F}(V1,V0,V1), P_symmetric_difference-{F}(V1,V0,V2), P_symmetric_difference-{F}(V3,V1,V2) | P_union-{T}(V3,V1,V1)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #768: exists( #42, #761 ), references = 1, size of lhs = 8:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_union-{F}(V0,V1,V0), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V3,V0,V2), P_union-{F}(V4,V5,V1), P_union-{F}(V5,V0,V6), P_union-{F}(V4,V6,V7) | P_union-{T}(V3,V0,V7)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #769: exists( #42, #762 ), references = 1, size of lhs = 9:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V1,V1), P_union-{F}(V2,V2,V2), P_union-{F}(V2,V0,V2), P_difference-{F}(V2,V1,V3), P_union-{F}(V0,V3,V4), P_union-{F}(V5,V1,V4), P_symmetric_difference-{F}(V2,V0,V6), P_symmetric_difference-{F}(V7,V2,V6) | P_union-{T}(V7,V2,V4)
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #794: exists( #43, #792 ), references = 1, size of lhs = 8:
% 40.30/40.57 P_union-{F}(V0,V0,V0), P_union-{F}(V1,V0,V2), P_union-{F}(V0,V1,V2), P_union-{F}(V3,V1,V2), P_symmetric_difference-{F}(V1,V0,V4), P_difference-{F}(V5,V0,V4), P_union-{F}(V1,V5,V6), V6 == V2 | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #817: exists( #44, #815 ), references = 1, size of lhs = 8:
% 40.30/40.57 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V3), P_difference-{F}(V0,V1,V4), P_union-{F}(V0,V5,V2), P_difference-{F}(V5,V0,V6), P_union-{F}(V6,V4,V3), P_difference-{F}(V0,V5,V7) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #821: mergings( V6 == V7; #819 ), references = 1, size of lhs = 7:
% 40.30/40.57 pppp7-{F}(V0,V1), P_union-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V3), P_difference-{F}(V0,V1,V4), P_union-{F}(V0,V5,V2), P_symmetric_difference-{F}(V5,V0,V3), P_difference-{F}(V0,V5,V4) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #823: exists( #43, #819 ), references = 1, size of lhs = 4:
% 40.30/40.57 pppp7-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V2), P_union-{F}(V0,V1,V3) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #825: exists( #42, #822 ), references = 1, size of lhs = 3:
% 40.30/40.57 pppp7-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V2) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #828: exists( #41, #826 ), references = 1, size of lhs = 1:
% 40.30/40.57 pppp7-{F}(V0,V1) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #830: exists( #39, #827 ), references = 1, size of lhs = 1:
% 40.30/40.57 pppp8-{F}(V0) | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 #832: exists( #38, #829 ), references = 1, size of lhs = 0:
% 40.30/40.57 FALSE | FALSE
% 40.30/40.57 (used 0 times, uses = {})
% 40.30/40.57
% 40.30/40.57 number of learnt formulas = 99
% 40.30/40.57
% 40.30/40.57
% 40.30/40.57 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.30/40.57
% 40.30/40.57 randbase = 1
%------------------------------------------------------------------------------