TSTP Solution File: SET620+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET620+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 10.91s 11.08s
% Output : Refutation 10.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET620+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 : n003.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 02:47:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.91/11.08 GeoParameters:
% 10.91/11.08
% 10.91/11.08 tptp_input = 1
% 10.91/11.08 tptp_output = 0
% 10.91/11.08 nonempty = 1
% 10.91/11.08 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.91/11.08 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 10.91/11.08
% 10.91/11.08
% 10.91/11.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.91/11.08 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.91/11.08
% 10.91/11.08 RuleSystem INPUT:
% 10.91/11.08
% 10.91/11.08 Initial Rules:
% 10.91/11.08 #0: input, references = 8, size of lhs = 5:
% 10.91/11.08 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
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #1: input, references = 4, size of lhs = 4:
% 10.91/11.08 P_intersection-{F}(V0,V1,V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V0,V1,V4), V3 == V4 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #2: input, references = 7, size of lhs = 6:
% 10.91/11.08 P_union-{F}(V0,V1,V3), P_difference-{F}(V3,V2,V4), P_difference-{F}(V0,V2,V5), P_difference-{F}(V1,V2,V6), P_union-{F}(V5,V6,V7), V4 == V7 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #3: input, references = 5, size of lhs = 2:
% 10.91/11.08 P_union-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V0,V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #4: input, references = 6, size of lhs = 2:
% 10.91/11.08 P_union-{F}(V0,V1,V3), pppp0-{F}(V0,V1,V2) | member-{T}(V2,V3)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #5: input, references = 4, size of lhs = 1:
% 10.91/11.08 pppp0-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #6: input, references = 4, size of lhs = 2:
% 10.91/11.08 #-{F} V1, member-{F}(V2,V0) | pppp0-{T}(V0,V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #7: input, references = 5, size of lhs = 2:
% 10.91/11.08 #-{F} V0, member-{F}(V2,V1) | pppp0-{T}(V0,V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #8: input, references = 5, size of lhs = 2:
% 10.91/11.08 P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp1-{T}(V0,V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #9: input, references = 14, size of lhs = 2:
% 10.91/11.08 P_intersection-{F}(V0,V1,V3), pppp1-{F}(V0,V1,V2) | member-{T}(V2,V3)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #10: input, references = 4, size of lhs = 1:
% 10.91/11.08 pppp1-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #11: input, references = 4, size of lhs = 1:
% 10.91/11.08 pppp1-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #12: input, references = 14, size of lhs = 2:
% 10.91/11.08 member-{F}(V2,V0), member-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #13: input, references = 14, size of lhs = 2:
% 10.91/11.08 P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp2-{T}(V0,V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #14: input, references = 8, size of lhs = 2:
% 10.91/11.08 P_difference-{F}(V0,V1,V3), pppp2-{F}(V0,V1,V2) | member-{T}(V2,V3)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #15: input, references = 7, size of lhs = 1:
% 10.91/11.08 pppp2-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #16: input, references = 15, size of lhs = 2:
% 10.91/11.08 pppp2-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #17: input, references = 5, size of lhs = 2:
% 10.91/11.08 #-{F} V1, member-{F}(V2,V0) | pppp2-{T}(V0,V1,V2), member-{T}(V2,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #18: input, references = 3, size of lhs = 1:
% 10.91/11.08 #-{F} V1 | pppp3-{T}(V1,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #19: input, references = 4, size of lhs = 2:
% 10.91/11.08 pppp3-{F}(V0,V1), V0 == V1 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #20: input, references = 3, size of lhs = 1:
% 10.91/11.08 pppp3-{F}(V0,V1) | subset-{T}(V0,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #21: input, references = 3, size of lhs = 1:
% 10.91/11.08 pppp3-{F}(V0,V1) | subset-{T}(V1,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #22: input, references = 4, size of lhs = 2:
% 10.91/11.08 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp3-{T}(V0,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #23: input, references = 5, size of lhs = 3:
% 10.91/11.08 P_union-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V2 == V3 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #24: input, references = 4, size of lhs = 3:
% 10.91/11.08 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), V2 == V3 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #25: input, references = 4, size of lhs = 3:
% 10.91/11.08 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V3), V2 == V3 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #26: input, references = 3, size of lhs = 1:
% 10.91/11.08 #-{F} V1 | pppp4-{T}(V1,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #27: input, references = 3, size of lhs = 2:
% 10.91/11.08 pppp4-{F}(V0,V1), V0 == V1 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #28: input, references = 3, size of lhs = 2:
% 10.91/11.08 pppp4-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #29: input, references = 3, size of lhs = 2:
% 10.91/11.08 pppp4-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #30: input, references = 4, size of lhs = 2:
% 10.91/11.08 #-{F} V0, #-{F} V1 | pppp4-{T}(V0,V1), pppp10-{T}(V0,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #31: input, references = 12, size of lhs = 1:
% 10.91/11.08 pppp10-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #32: input, references = 11, size of lhs = 3:
% 10.91/11.08 pppp6-{F}(V0,V1,V2), member-{F}(V2,V1), member-{F}(V2,V0) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #33: input, references = 6, size of lhs = 1:
% 10.91/11.08 pppp6-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #34: input, references = 3, size of lhs = 1:
% 10.91/11.08 subset-{F}(V0,V1) | pppp5-{T}(V0,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #35: input, references = 9, size of lhs = 1:
% 10.91/11.08 pppp5-{F}(V0,V1) | subset-{T}(V0,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #36: input, references = 10, size of lhs = 2:
% 10.91/11.08 pppp5-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #37: input, references = 7, size of lhs = 2:
% 10.91/11.08 #-{F} V0, #-{F} V1 | pppp5-{T}(V0,V1), pppp11-{T}(V0,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #38: input, references = 9, size of lhs = 1:
% 10.91/11.08 pppp11-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #39: input, references = 6, size of lhs = 2:
% 10.91/11.08 pppp7-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #40: input, references = 11, size of lhs = 1:
% 10.91/11.08 pppp7-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #41: input, references = 3, size of lhs = 1:
% 10.91/11.08 #-{F} V0 | subset-{T}(V0,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #42: input, references = 4, size of lhs = 0:
% 10.91/11.08 FALSE | EXISTS V0: pppp9-{T}(V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #43: input, references = 5, size of lhs = 1:
% 10.91/11.08 pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #44: input, references = 6, size of lhs = 5:
% 10.91/11.08 pppp8-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V5), P_union-{F}(V0,V1,V3), P_intersection-{F}(V0,V1,V4), P_difference-{F}(V3,V4,V5) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #45: input, references = 10, size of lhs = 2:
% 10.91/11.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_symmetric_difference-{T}(V0,V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #46: input, references = 15, size of lhs = 2:
% 10.91/11.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #47: input, references = 21, size of lhs = 2:
% 10.91/11.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #48: input, references = 12, size of lhs = 2:
% 10.91/11.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 number of initial rules = 49
% 10.91/11.08
% 10.91/11.08 Simplifiers:
% 10.91/11.08 #49: unsound, references = 3, size of lhs = 3:
% 10.91/11.08 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #50: unsound, references = 3, size of lhs = 3:
% 10.91/11.08 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #51: unsound, references = 3, size of lhs = 3:
% 10.91/11.08 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #52: unsound, references = 3, size of lhs = 3:
% 10.91/11.08 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #53: unsound, references = 3, size of lhs = 3:
% 10.91/11.08 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #54: unsound, references = 3, size of lhs = 3:
% 10.91/11.08 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #55: unsound, references = 3, size of lhs = 3:
% 10.91/11.08 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #56: unsound, references = 3, size of lhs = 3:
% 10.91/11.08 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #57: unsound, references = 3, size of lhs = 3:
% 10.91/11.08 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 number of simplifiers = 9
% 10.91/11.08
% 10.91/11.08 Learnt:
% 10.91/11.08 #59: disj( #30, input ), references = 6, size of lhs = 3:
% 10.91/11.08 #-{F} V0, #-{F} V1, V0 == V1 | pppp10-{T}(V0,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #61: exists( #47, #1 ), references = 13, size of lhs = 2:
% 10.91/11.08 P_intersection-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3) | P_difference-{T}(V0,V2,V3)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #63: exists( #47, #2 ), references = 7, size of lhs = 4:
% 10.91/11.08 P_union-{F}(V0,V1,V2), P_difference-{F}(V0,V3,V4), P_difference-{F}(V1,V3,V5), P_union-{F}(V4,V5,V6) | P_difference-{T}(V2,V3,V6)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #65: exists( #45, #25 ), references = 3, size of lhs = 1:
% 10.91/11.08 P_symmetric_difference-{F}(V0,V1,V2) | P_symmetric_difference-{T}(V1,V0,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #67: exists( #46, #23 ), references = 16, size of lhs = 1:
% 10.91/11.08 P_union-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #71: disj( #33, #6+#4+#32 ), references = 3, size of lhs = 3:
% 10.91/11.08 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V3,V2), P_union-{F}(V0,V4,V3) | member-{T}(V2,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #77: exists( #48, #24 ), references = 8, size of lhs = 1:
% 10.91/11.08 P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V1,V0,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #81: exists( #48, #79 ), references = 2, size of lhs = 4:
% 10.91/11.08 pppp8-{F}(V0,V1), P_union-{F}(V0,V1,V0), P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V2) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #88: disj( #5, input ), references = 1, size of lhs = 3:
% 10.91/11.08 member-{F}(V0,V1), pppp6-{F}(V2,V1,V0), pppp0-{F}(V2,V3,V0) | member-{T}(V0,V3)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #89: disj( #5, input ), references = 1, size of lhs = 2:
% 10.91/11.08 pppp0-{F}(V0,V1,V2), pppp2-{F}(V3,V0,V2) | member-{T}(V2,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #99: exists( #31, #95 ), references = 2, size of lhs = 3:
% 10.91/11.08 pppp10-{F}(V0,V1), P_union-{F}(V0,V0,V1), P_union-{F}(V0,V2,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #100: exists( #31, #96 ), references = 3, size of lhs = 4:
% 10.91/11.08 pppp10-{F}(V0,V1), P_union-{F}(V0,V2,V1), P_union-{F}(V0,V3,V1), P_difference-{F}(V4,V3,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #103: exists( #46, #101 ), references = 3, size of lhs = 1:
% 10.91/11.08 #-{F} V0 | P_union-{T}(V0,V0,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #106: exists( #47, #104 ), references = 2, size of lhs = 1:
% 10.91/11.08 P_symmetric_difference-{F}(V0,V0,V1) | P_difference-{T}(V0,V0,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #109: exists( #45, #107 ), references = 1, size of lhs = 2:
% 10.91/11.08 pppp8-{F}(V0,V0), P_union-{F}(V0,V0,V0) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #113: disj( #37, #35+#22+#19 ), references = 6, size of lhs = 2:
% 10.91/11.08 subset-{F}(V0,V1), V1 == V0 | pppp11-{T}(V1,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #125: disj( #33, #13+#15+#16 ), references = 2, size of lhs = 2:
% 10.91/11.08 P_difference-{F}(V0,V0,V1), pppp6-{F}(V2,V1,V3) | member-{T}(V3,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #126: disj( #33, #13+#15+#32 ), references = 5, size of lhs = 3:
% 10.91/11.08 P_difference-{F}(V0,V1,V2), pppp6-{F}(V0,V2,V3), pppp6-{F}(V4,V2,V3) | member-{T}(V3,V4)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #131: exists( #31, #129 ), references = 1, size of lhs = 3:
% 10.91/11.08 pppp10-{F}(V0,V1), P_intersection-{F}(V0,V0,V1), P_difference-{F}(V2,V2,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #134: disj( #37, #36+#32 ), references = 4, size of lhs = 3:
% 10.91/11.08 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V2,V3,V0) | pppp11-{T}(V1,V3)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #145: exists( #31, #143 ), references = 2, size of lhs = 3:
% 10.91/11.08 pppp10-{F}(V0,V1), P_intersection-{F}(V0,V0,V1), P_difference-{F}(V0,V2,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #162: disj( #17, input ), references = 7, size of lhs = 3:
% 10.91/11.08 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V2,V3,V0) | pppp2-{T}(V1,V3,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #183: exists( #48, #181 ), references = 1, size of lhs = 4:
% 10.91/11.08 pppp8-{F}(V0,V1), P_union-{F}(V0,V1,V1), P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V2) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #192: disj( #17, input ), references = 1, size of lhs = 3:
% 10.91/11.08 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V3,V2,V0) | pppp2-{T}(V1,V3,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #193: disj( #17, input ), references = 4, size of lhs = 2:
% 10.91/11.08 member-{F}(V0,V1), pppp2-{F}(V2,V3,V0) | pppp2-{T}(V1,V3,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #215: exists( #31, #213 ), references = 2, size of lhs = 3:
% 10.91/11.08 pppp10-{F}(V0,V1), P_difference-{F}(V0,V2,V1), P_union-{F}(V0,V3,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #248: exists( #31, #244 ), references = 1, size of lhs = 4:
% 10.91/11.08 pppp10-{F}(V0,V1), P_intersection-{F}(V0,V0,V2), P_intersection-{F}(V2,V2,V1), P_difference-{F}(V0,V3,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #270: exists( #38, #266 ), references = 4, size of lhs = 2:
% 10.91/11.08 P_difference-{F}(V0,V0,V1), pppp11-{F}(V1,V2) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #271: exists( #38, #267 ), references = 2, size of lhs = 2:
% 10.91/11.08 pppp11-{F}(V0,V1), P_difference-{F}(V1,V2,V0) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #274: disj( #37, exists( #38, #267 ) ), references = 6, size of lhs = 1:
% 10.91/11.08 P_difference-{F}(V0,V1,V2) | pppp5-{T}(V2,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #275: disj( #37, exists( #38, #266 ) ), references = 2, size of lhs = 2:
% 10.91/11.08 P_difference-{F}(V0,V0,V1), #-{F} V2 | pppp5-{T}(V1,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #283: exists( #45, #281 ), references = 1, size of lhs = 1:
% 10.91/11.08 P_difference-{F}(V0,V0,V1) | P_symmetric_difference-{T}(V1,V1,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #334: exists( #31, #330 ), references = 1, size of lhs = 4:
% 10.91/11.08 pppp10-{F}(V0,V1), P_intersection-{F}(V0,V0,V2), P_intersection-{F}(V2,V0,V1), P_difference-{F}(V0,V3,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #378: exists( #46, #2 ), references = 4, size of lhs = 4:
% 10.91/11.08 P_union-{F}(V0,V1,V2), P_difference-{F}(V2,V3,V4), P_difference-{F}(V0,V3,V5), P_difference-{F}(V1,V3,V6) | P_union-{T}(V5,V6,V4)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #379: exists( #46, #0 ), references = 12, size of lhs = 3:
% 10.91/11.08 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)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #384: exists( #47, #382 ), references = 4, size of lhs = 2:
% 10.91/11.08 P_difference-{F}(V0,V0,V1), #-{F} V2 | P_difference-{T}(V1,V2,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #392: exists( #47, #387 ), references = 1, size of lhs = 4:
% 10.91/11.08 P_union-{F}(V0,V1,V1), P_symmetric_difference-{F}(V1,V2,V3), P_difference-{F}(V2,V1,V4), P_difference-{F}(V0,V2,V4) | P_difference-{T}(V1,V2,V3)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #393: exists( #47, #386 ), references = 1, size of lhs = 4:
% 10.91/11.08 P_union-{F}(V0,V1,V1), P_difference-{F}(V0,V2,V3), P_difference-{F}(V2,V1,V3), P_symmetric_difference-{F}(V2,V1,V4) | P_difference-{T}(V1,V2,V4)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #394: exists( #47, #388 ), references = 1, size of lhs = 4:
% 10.91/11.08 P_union-{F}(V0,V1,V0), P_symmetric_difference-{F}(V0,V2,V3), P_difference-{F}(V2,V0,V4), P_difference-{F}(V1,V2,V4) | P_difference-{T}(V0,V2,V3)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #404: exists( #47, #402 ), references = 8, size of lhs = 4:
% 10.91/11.08 P_difference-{F}(V0,V1,V1), P_difference-{F}(V1,V2,V1), P_symmetric_difference-{F}(V2,V1,V3), P_union-{F}(V0,V2,V4) | P_difference-{T}(V2,V1,V3)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #412: exists( #46, #408 ), references = 1, size of lhs = 5:
% 10.91/11.08 pppp10-{F}(V0,V1), P_intersection-{F}(V0,V0,V1), P_difference-{F}(V2,V0,V2), P_symmetric_difference-{F}(V0,V2,V1), P_difference-{F}(V3,V2,V2) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #421: exists( #46, #417 ), references = 2, size of lhs = 5:
% 10.91/11.08 P_difference-{F}(V0,V1,V1), P_difference-{F}(V1,V2,V1), P_symmetric_difference-{F}(V2,V1,V3), pppp2-{F}(V2,V1,V4), pppp2-{F}(V5,V3,V4) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #422: exists( #46, #418 ), references = 1, size of lhs = 6:
% 10.91/11.08 P_difference-{F}(V0,V1,V1), P_difference-{F}(V1,V2,V1), P_symmetric_difference-{F}(V2,V1,V3), pppp2-{F}(V2,V1,V4), member-{F}(V4,V5), pppp6-{F}(V5,V3,V4) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #430: exists( #48, #428 ), references = 3, size of lhs = 6:
% 10.91/11.08 pppp8-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_union-{F}(V0,V1,V4), P_difference-{F}(V1,V0,V5), P_union-{F}(V3,V5,V2) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #438: mergings( V3 == V4, V1 == V5; #435 ), references = 1, size of lhs = 5:
% 10.91/11.08 P_difference-{F}(V0,V0,V0), pppp8-{F}(V0,V1), P_difference-{F}(V0,V1,V0), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V2) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #442: mergings( V1 == V3; #440 ), references = 2, size of lhs = 3:
% 10.91/11.08 P_difference-{F}(V0,V0,V0), pppp8-{F}(V0,V1), P_difference-{F}(V0,V1,V0) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #445: exists( #43, #443 ), references = 1, size of lhs = 3:
% 10.91/11.08 pppp9-{F}(V0), P_difference-{F}(V0,V0,V0), P_difference-{F}(V1,V1,V0) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #456: exists( #47, #454 ), references = 1, size of lhs = 4:
% 10.91/11.08 P_union-{F}(V0,V1,V2), P_difference-{F}(V2,V3,V4), P_difference-{F}(V1,V3,V5), P_difference-{F}(V6,V5,V4) | P_difference-{T}(V0,V3,V4)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #472: exists( #38, #467 ), references = 3, size of lhs = 3:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_difference-{F}(V3,V0,V2) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #473: exists( #38, #468 ), references = 1, size of lhs = 3:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_intersection-{F}(V0,V2,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #487: exists( #47, #485 ), references = 1, size of lhs = 6:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_symmetric_difference-{F}(V3,V0,V2), P_difference-{F}(V0,V3,V4), P_difference-{F}(V5,V0,V4), P_union-{F}(V5,V3,V6) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #501: exists( #38, #499 ), references = 1, size of lhs = 4:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_intersection-{F}(V2,V0,V3), P_difference-{F}(V4,V3,V2) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #507: exists( #48, #505 ), references = 1, size of lhs = 6:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_difference-{F}(V2,V0,V3), P_difference-{F}(V0,V2,V4), P_union-{F}(V4,V3,V2), P_union-{F}(V0,V2,V5) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #510: exists( #47, #508 ), references = 2, size of lhs = 5:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_symmetric_difference-{F}(V0,V2,V2), P_union-{F}(V0,V2,V3), P_difference-{F}(V0,V2,V4) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #515: exists( #47, #513 ), references = 1, size of lhs = 3:
% 10.91/11.08 pppp5-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V1), P_union-{F}(V0,V1,V2) | P_difference-{T}(V0,V1,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #518: exists( #46, #516 ), references = 2, size of lhs = 3:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_symmetric_difference-{F}(V0,V2,V2) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #531: exists( #31, #529 ), references = 2, size of lhs = 4:
% 10.91/11.08 pppp10-{F}(V0,V1), pppp5-{F}(V1,V2), P_difference-{F}(V3,V2,V1), P_union-{F}(V0,V4,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #538: exists( #47, #536 ), references = 3, size of lhs = 4:
% 10.91/11.08 pppp5-{F}(V0,V1), P_difference-{F}(V2,V1,V0), P_symmetric_difference-{F}(V3,V4,V0), P_difference-{F}(V3,V4,V5) | P_difference-{T}(V4,V3,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #553: exists( #38, #551 ), references = 2, size of lhs = 4:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_intersection-{F}(V2,V0,V3), P_difference-{F}(V4,V3,V0) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #559: exists( #48, #557 ), references = 1, size of lhs = 6:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_difference-{F}(V2,V0,V3), P_difference-{F}(V0,V2,V4), P_union-{F}(V4,V3,V0), P_union-{F}(V0,V2,V5) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #562: exists( #47, #560 ), references = 2, size of lhs = 5:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_symmetric_difference-{F}(V0,V2,V0), P_union-{F}(V0,V2,V3), P_difference-{F}(V0,V2,V4) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #567: exists( #47, #565 ), references = 1, size of lhs = 3:
% 10.91/11.08 pppp5-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V0), P_union-{F}(V0,V1,V2) | P_difference-{T}(V0,V1,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #570: exists( #46, #568 ), references = 1, size of lhs = 3:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_symmetric_difference-{F}(V0,V2,V0) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #576: exists( #48, #574 ), references = 1, size of lhs = 3:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_difference-{F}(V0,V2,V0) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #608: exists( #38, #606 ), references = 1, size of lhs = 5:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_intersection-{F}(V2,V0,V3), P_union-{F}(V4,V0,V5), P_difference-{F}(V6,V3,V5) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #614: exists( #48, #612 ), references = 1, size of lhs = 7:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_difference-{F}(V2,V0,V3), P_difference-{F}(V0,V2,V4), P_union-{F}(V2,V0,V5), P_union-{F}(V3,V4,V6), P_union-{F}(V7,V0,V6) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #618: exists( #47, #616 ), references = 1, size of lhs = 6:
% 10.91/11.08 pppp11-{F}(V0,V1), pppp5-{F}(V0,V2), P_union-{F}(V2,V0,V3), P_difference-{F}(V0,V2,V4), P_symmetric_difference-{F}(V0,V2,V5), P_union-{F}(V6,V0,V5) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #623: exists( #47, #621 ), references = 1, size of lhs = 4:
% 10.91/11.08 pppp5-{F}(V0,V1), P_union-{F}(V1,V0,V2), P_symmetric_difference-{F}(V0,V1,V3), P_union-{F}(V4,V0,V3) | P_difference-{T}(V0,V1,V0)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #636: exists( #46, #632 ), references = 1, size of lhs = 4:
% 10.91/11.08 P_difference-{F}(V0,V1,V1), P_difference-{F}(V1,V2,V1), P_symmetric_difference-{F}(V2,V1,V3), pppp11-{F}(V3,V2) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #637: exists( #46, #633 ), references = 1, size of lhs = 5:
% 10.91/11.08 pppp10-{F}(V0,V1), P_union-{F}(V0,V2,V1), P_difference-{F}(V3,V0,V3), P_symmetric_difference-{F}(V0,V3,V1), P_difference-{F}(V4,V3,V3) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #649: mergings( V3 == V1; #647 ), references = 1, size of lhs = 4:
% 10.91/11.08 P_difference-{F}(V0,V0,V0), P_symmetric_difference-{F}(V1,V0,V1), P_difference-{F}(V0,V1,V0), P_symmetric_difference-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #682: mergings( V3 == V4, V1 == V5; #679 ), references = 1, size of lhs = 4:
% 10.91/11.08 P_difference-{F}(V0,V0,V0), pppp8-{F}(V1,V0), P_difference-{F}(V0,V1,V0), P_symmetric_difference-{F}(V1,V0,V2) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #685: mergings( V1 == V3; #683 ), references = 1, size of lhs = 3:
% 10.91/11.08 P_difference-{F}(V0,V0,V0), pppp8-{F}(V1,V0), P_difference-{F}(V0,V1,V0) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #719: exists( #45, #0 ), references = 1, size of lhs = 3:
% 10.91/11.08 P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V3), P_union-{F}(V2,V3,V4) | P_symmetric_difference-{T}(V0,V1,V4)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #734: exists( #38, #732 ), references = 1, size of lhs = 4:
% 10.91/11.08 pppp11-{F}(V0,V1), P_intersection-{F}(V0,V2,V1), P_union-{F}(V3,V0,V4), P_intersection-{F}(V2,V5,V4) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #749: exists( #31, #745 ), references = 1, size of lhs = 5:
% 10.91/11.08 pppp10-{F}(V0,V1), P_difference-{F}(V1,V0,V1), P_symmetric_difference-{F}(V0,V1,V1), P_difference-{F}(V2,V2,V1), P_difference-{F}(V3,V1,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #803: disj( #33, #162+#14+#134+#270 ), references = 2, size of lhs = 5:
% 10.91/11.08 P_difference-{F}(V0,V0,V1), P_difference-{F}(V2,V3,V1), pppp6-{F}(V2,V3,V4), pppp6-{F}(V2,V5,V4), pppp6-{F}(V2,V6,V4) | member-{T}(V4,V5)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #804: disj( #33, #162+#14+#134+#472 ), references = 1, size of lhs = 6:
% 10.91/11.08 pppp5-{F}(V0,V1), P_difference-{F}(V2,V0,V1), P_difference-{F}(V3,V4,V0), pppp6-{F}(V3,V4,V5), pppp6-{F}(V3,V6,V5), pppp6-{F}(V3,V7,V5) | member-{T}(V5,V6)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #805: disj( #33, #162+#14+#134+#518 ), references = 1, size of lhs = 6:
% 10.91/11.08 pppp5-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V1), P_difference-{F}(V2,V3,V0), pppp6-{F}(V2,V3,V4), pppp6-{F}(V2,V5,V4), pppp6-{F}(V2,V6,V4) | member-{T}(V4,V5)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #828: exists( #47, #826 ), references = 1, size of lhs = 5:
% 10.91/11.08 P_union-{F}(V0,V0,V0), P_difference-{F}(V1,V1,V2), P_difference-{F}(V3,V3,V2), P_symmetric_difference-{F}(V0,V4,V2), P_symmetric_difference-{F}(V4,V0,V2) | P_difference-{T}(V0,V4,V2)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #844: disj( #37, exists( #46, #568 ) ), references = 1, size of lhs = 2:
% 10.91/11.08 P_symmetric_difference-{F}(V0,V1,V0), pppp11-{F}(V0,V2) | pppp11-{T}(V0,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #865: exists( #31, #863 ), references = 2, size of lhs = 5:
% 10.91/11.08 pppp10-{F}(V0,V1), P_difference-{F}(V0,V1,V2), P_difference-{F}(V3,V3,V2), P_difference-{F}(V4,V1,V5), P_intersection-{F}(V6,V5,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #871: exists( #48, #869 ), references = 1, size of lhs = 3:
% 10.91/11.08 P_difference-{F}(V0,V0,V1), P_difference-{F}(V2,V2,V1), P_difference-{F}(V3,V4,V3) | P_intersection-{T}(V4,V3,V1)
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #888: exists( #47, #886 ), references = 1, size of lhs = 5:
% 10.91/11.08 pppp8-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V2), P_union-{F}(V0,V1,V3), P_difference-{F}(V1,V0,V4) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #890: exists( #47, #887 ), references = 1, size of lhs = 4:
% 10.91/11.08 pppp8-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V2), P_union-{F}(V0,V1,V3) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #893: exists( #46, #891 ), references = 1, size of lhs = 3:
% 10.91/11.08 pppp8-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V2) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #896: exists( #45, #894 ), references = 1, size of lhs = 1:
% 10.91/11.08 pppp8-{F}(V0,V1) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #898: exists( #43, #895 ), references = 1, size of lhs = 1:
% 10.91/11.08 pppp9-{F}(V0) | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 #900: exists( #42, #897 ), references = 1, size of lhs = 0:
% 10.91/11.08 FALSE | FALSE
% 10.91/11.08 (used 0 times, uses = {})
% 10.91/11.08
% 10.91/11.08 number of learnt formulas = 89
% 10.91/11.08
% 10.91/11.08
% 10.91/11.08 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.91/11.08
% 10.91/11.08 randbase = 1
%------------------------------------------------------------------------------