TSTP Solution File: SET638+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET638+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:16:31 EDT 2022
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET638+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 02:16:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.59/0.76 GeoParameters:
% 0.59/0.76
% 0.59/0.76 tptp_input = 1
% 0.59/0.76 tptp_output = 0
% 0.59/0.76 nonempty = 1
% 0.59/0.76 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.76 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.59/0.76
% 0.59/0.76
% 0.59/0.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.76 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.76
% 0.59/0.76 RuleSystem INPUT:
% 0.59/0.76
% 0.59/0.76 Initial Rules:
% 0.59/0.76 #0: input, references = 4, size of lhs = 1:
% 0.59/0.76 P_intersection-{F}(V0,V1,V2) | subset-{T}(V2,V0)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #1: input, references = 4, size of lhs = 3:
% 0.59/0.76 P_intersection-{F}(V0,V1,V2), subset-{F}(V0,V1), V2 == V0 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #2: input, references = 4, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), P_union-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #3: input, references = 6, size of lhs = 7:
% 0.59/0.76 P_empty_set-{F}(V0), P_union-{F}(V2,V3,V4), P_intersection-{F}(V1,V4,V5), P_intersection-{F}(V1,V2,V6), P_intersection-{F}(V1,V3,V7), P_union-{F}(V6,V7,V8), V5 == V8 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #4: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), P_union-{F}(V1,V2,V4), member-{F}(V3,V4) | pppp0-{T}(V1,V2,V3)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #5: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), P_union-{F}(V1,V2,V4), pppp0-{F}(V1,V2,V3) | member-{T}(V3,V4)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #6: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3) | member-{T}(V3,V1), member-{T}(V3,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #7: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), #-{F} V2, member-{F}(V3,V1) | pppp0-{T}(V1,V2,V3)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #8: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), #-{F} V1, member-{F}(V3,V2) | pppp0-{T}(V1,V2,V3)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #9: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #10: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V4), member-{F}(V3,V4) | pppp1-{T}(V1,V2,V3)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #11: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V4), pppp1-{F}(V1,V2,V3) | member-{T}(V3,V4)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #12: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3) | member-{T}(V3,V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #13: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3) | member-{T}(V3,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #14: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), member-{F}(V3,V1), member-{F}(V3,V2) | pppp1-{T}(V1,V2,V3)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #15: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), subset-{F}(V1,V2) | pppp2-{T}(V1,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #16: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #17: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #18: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp2-{T}(V1,V2), pppp12-{T}(V1,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #19: input, references = 3, size of lhs = 1:
% 0.59/0.76 pppp12-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #20: input, references = 3, size of lhs = 2:
% 0.59/0.76 pppp6-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #21: input, references = 3, size of lhs = 1:
% 0.59/0.76 pppp6-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #22: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), #-{F} V2 | pppp3-{T}(V2,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #23: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), V1 == V2 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #24: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), pppp3-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #25: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), pppp3-{F}(V1,V2) | subset-{T}(V2,V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #26: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V2,V1) | pppp3-{T}(V1,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #27: input, references = 4, size of lhs = 4:
% 0.59/0.76 P_empty_set-{F}(V0), P_union-{F}(V1,V2,V3), P_union-{F}(V2,V1,V4), V3 == V4 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #28: input, references = 4, size of lhs = 4:
% 0.59/0.76 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V3), P_intersection-{F}(V2,V1,V4), V3 == V4 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #29: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #30: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #31: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), pppp4-{F}(V1) | empty-{T}(V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #32: input, references = 4, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), pppp4-{F}(V1), member-{F}(V2,V1) | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #33: input, references = 5, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), #-{F} V1 | pppp4-{T}(V1), pppp13-{T}(V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #34: input, references = 3, size of lhs = 1:
% 0.59/0.76 pppp13-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #35: input, references = 3, size of lhs = 1:
% 0.59/0.76 pppp7-{F}(V0,V1) | member-{T}(V1,V0)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #36: input, references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), #-{F} V2 | pppp5-{T}(V2,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #37: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), pppp5-{F}(V1,V2), V1 == V2 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #38: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), pppp5-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #39: input, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), pppp5-{F}(V1,V2), member-{F}(V3,V2) | member-{T}(V3,V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #40: input, references = 4, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp5-{T}(V1,V2), pppp14-{T}(V1,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #41: input, references = 4, size of lhs = 1:
% 0.59/0.76 pppp14-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #42: input, references = 3, size of lhs = 3:
% 0.59/0.76 pppp8-{F}(V0,V1,V2), member-{F}(V2,V1), member-{F}(V2,V0) | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #43: input, references = 4, size of lhs = 1:
% 0.59/0.76 pppp8-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #44: input, references = 4, size of lhs = 1:
% 0.59/0.76 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #45: input, references = 4, size of lhs = 1:
% 0.59/0.76 pppp11-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V1,V2,V0)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #46: input, references = 4, size of lhs = 2:
% 0.59/0.76 pppp10-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V3) | EXISTS V4: pppp9-{T}(V0,V4,V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #47: input, references = 4, size of lhs = 3:
% 0.59/0.76 pppp10-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V3), V3 == V2 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #48: input, references = 4, size of lhs = 3:
% 0.59/0.76 pppp9-{F}(V0,V1,V2), P_union-{F}(V1,V2,V3), subset-{F}(V0,V1) | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #49: input, references = 4, size of lhs = 2:
% 0.59/0.76 pppp9-{F}(V0,V1,V2), P_union-{F}(V1,V2,V3) | subset-{T}(V0,V3)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #50: input, references = 8, size of lhs = 2:
% 0.59/0.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #51: input, references = 8, size of lhs = 2:
% 0.59/0.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #52: input, references = 4, size of lhs = 0:
% 0.59/0.76 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 number of initial rules = 53
% 0.59/0.76
% 0.59/0.76 Simplifiers:
% 0.59/0.76 #53: unsound, references = 3, size of lhs = 3:
% 0.59/0.76 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #54: unsound, references = 3, size of lhs = 3:
% 0.59/0.76 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #55: unsound, references = 3, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #56: unsound, references = 3, size of lhs = 3:
% 0.59/0.76 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #57: unsound, references = 3, size of lhs = 3:
% 0.59/0.76 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #58: unsound, references = 3, size of lhs = 3:
% 0.59/0.76 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #59: unsound, references = 3, size of lhs = 3:
% 0.59/0.76 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #60: unsound, references = 3, size of lhs = 3:
% 0.59/0.76 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #61: unsound, references = 3, size of lhs = 3:
% 0.59/0.76 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V2), V0 == V3 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #62: unsound, references = 3, size of lhs = 3:
% 0.59/0.76 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #63: unsound, references = 3, size of lhs = 3:
% 0.59/0.76 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #64: unsound, references = 3, size of lhs = 3:
% 0.59/0.76 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 number of simplifiers = 12
% 0.59/0.76
% 0.59/0.76 Learnt:
% 0.59/0.76 #66: exists( #50, #1 ), references = 2, size of lhs = 1:
% 0.59/0.76 subset-{F}(V0,V1) | P_intersection-{T}(V0,V1,V0)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #68: exists( #51, #2 ), references = 2, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), #-{F} V1 | P_union-{T}(V1,V0,V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #70: exists( #50, #3 ), references = 1, size of lhs = 5:
% 0.59/0.76 P_empty_set-{F}(V0), P_union-{F}(V1,V2,V3), P_intersection-{F}(V4,V1,V5), P_intersection-{F}(V4,V2,V6), P_union-{F}(V5,V6,V7) | P_intersection-{T}(V4,V3,V7)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #72: exists( #51, #27 ), references = 3, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), P_union-{F}(V1,V2,V3) | P_union-{T}(V2,V1,V3)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #75: mergings( V0 == V3; #73 ), references = 1, size of lhs = 4:
% 0.59/0.76 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | pppp14-{T}(V1,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #77: disj( #43, input ), references = 2, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), pppp8-{F}(V1,V0,V2) | member-{T}(V2,V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #80: mergings( V0 == V2; #78 ), references = 1, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp13-{T}(V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #84: mergings( V1 == V3; #82 ), references = 1, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), pppp4-{F}(V1), pppp14-{F}(V1,V0) | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #88: mergings( V0 == V2, V2 == V3; #85 ), references = 1, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), pppp14-{F}(V1,V0) | pppp13-{T}(V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #95: exists( #51, #3 ), references = 1, size of lhs = 5:
% 0.59/0.76 P_empty_set-{F}(V0), P_union-{F}(V1,V2,V3), P_intersection-{F}(V4,V3,V5), P_intersection-{F}(V4,V1,V6), P_intersection-{F}(V4,V2,V7) | P_union-{T}(V6,V7,V5)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #99: exists( #50, #28 ), references = 2, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V3) | P_intersection-{T}(V2,V1,V3)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #102: exists( #51, #100 ), references = 2, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), subset-{F}(V1,V2), pppp9-{F}(V1,V2,V3) | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #111: mergings( V3 == V4; #109 ), references = 1, size of lhs = 6:
% 0.59/0.76 P_empty_set-{F}(V0), pppp9-{F}(V1,V2,V3), P_intersection-{F}(V1,V2,V4), P_intersection-{F}(V1,V3,V5), P_union-{F}(V4,V5,V6), V1 == V6 | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #116: mergings( V3 == V4, V4 == V5; #113 ), references = 1, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V0), pppp9-{F}(V1,V3,V2) | P_intersection-{T}(V1,V3,V1)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #126: mergings( V5 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V9; #120 ), references = 2, size of lhs = 3:
% 0.59/0.76 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V0), pppp10-{F}(V1,V2,V3) | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #131: exists( #50, #47 ), references = 1, size of lhs = 1:
% 0.59/0.76 pppp10-{F}(V0,V1,V2) | P_intersection-{T}(V0,V1,V2)
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #134: exists( #45, #132 ), references = 1, size of lhs = 2:
% 0.59/0.76 P_empty_set-{F}(V0), pppp11-{F}(V0,V1) | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #136: exists( #44, #133 ), references = 1, size of lhs = 1:
% 0.59/0.76 P_empty_set-{F}(V0) | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 #138: exists( #52, #135 ), references = 1, size of lhs = 0:
% 0.59/0.76 FALSE | FALSE
% 0.59/0.76 (used 0 times, uses = {})
% 0.59/0.76
% 0.59/0.76 number of learnt formulas = 19
% 0.59/0.76
% 0.59/0.76
% 0.59/0.76 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.76
% 0.59/0.76 randbase = 1
%------------------------------------------------------------------------------