TSTP Solution File: SET635+3 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET635+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 71.11s 71.31s
% Output : Refutation 71.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET635+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 02:07:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 71.11/71.31 GeoParameters:
% 71.11/71.31
% 71.11/71.31 tptp_input = 1
% 71.11/71.31 tptp_output = 0
% 71.11/71.31 nonempty = 1
% 71.11/71.31 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 71.11/71.31 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 71.11/71.31
% 71.11/71.31
% 71.11/71.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 71.11/71.31 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 71.11/71.31
% 71.11/71.31 RuleSystem INPUT:
% 71.11/71.31
% 71.11/71.31 Initial Rules:
% 71.11/71.31 #0: input, references = 11, size of lhs = 1:
% 71.11/71.31 P_intersection-{F}(V0,V1,V2) | subset-{T}(V2,V0)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #1: input, references = 4, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V1,V2,V0) | subset-{T}(V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #2: input, references = 5, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V1,V2,V3), subset-{F}(V1,V2), V3 == V0 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #3: input, references = 4, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), P_union-{F}(V1,V0,V2), V2 == V1 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #4: input, references = 7, size of lhs = 7:
% 71.11/71.31 P_empty_set-{F}(V0), P_intersection-{F}(V2,V3,V4), P_difference-{F}(V1,V4,V5), P_difference-{F}(V1,V2,V6), P_difference-{F}(V1,V3,V7), P_union-{F}(V6,V7,V8), V5 == V8 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #5: input, references = 7, size of lhs = 6:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V2,V3,V4), P_intersection-{F}(V1,V4,V5), P_intersection-{F}(V1,V2,V6), P_difference-{F}(V6,V3,V7), V5 == V7 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #6: input, references = 3, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V4), member-{F}(V3,V4) | pppp0-{T}(V1,V2,V3)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #7: input, references = 3, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V4), pppp0-{F}(V1,V2,V3) | member-{T}(V3,V4)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #8: input, references = 3, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3) | member-{T}(V3,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #9: input, references = 3, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3) | member-{T}(V3,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #10: input, references = 3, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), member-{F}(V3,V1), member-{F}(V3,V2) | pppp0-{T}(V1,V2,V3)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #11: input, references = 3, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V1,V2,V4), member-{F}(V3,V4) | pppp1-{T}(V1,V2,V3)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #12: input, references = 3, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V1,V2,V4), pppp1-{F}(V1,V2,V3) | member-{T}(V3,V4)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #13: input, references = 3, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3) | member-{T}(V3,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #14: input, references = 4, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3), member-{F}(V3,V2) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #15: input, references = 5, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), #-{F} V2, member-{F}(V3,V1) | pppp1-{T}(V1,V2,V3), member-{T}(V3,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #16: input, references = 3, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), #-{F} V2 | pppp2-{T}(V2,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #17: input, references = 4, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), V1 == V2 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #18: input, references = 3, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #19: input, references = 3, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V2,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #20: input, references = 4, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V2,V1) | pppp2-{T}(V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #21: input, references = 4, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), P_union-{F}(V1,V2,V3), P_union-{F}(V2,V1,V4), V3 == V4 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #22: input, references = 5, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #23: input, references = 6, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V3), P_intersection-{F}(V2,V1,V4), V3 == V4 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #24: input, references = 3, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), subset-{F}(V1,V2) | pppp3-{T}(V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #25: input, references = 4, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), pppp3-{F}(V1,V2) | subset-{T}(V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #26: input, references = 6, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #27: input, references = 5, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp3-{T}(V1,V2), pppp12-{T}(V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #28: input, references = 3, size of lhs = 1:
% 71.11/71.31 pppp12-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #29: input, references = 3, size of lhs = 2:
% 71.11/71.31 pppp6-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #30: input, references = 3, size of lhs = 1:
% 71.11/71.31 pppp6-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #31: input, references = 9, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #32: input, references = 3, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), #-{F} V2 | pppp4-{T}(V2,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #33: input, references = 3, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), pppp4-{F}(V1,V2), V1 == V2 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #34: input, references = 3, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), pppp4-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #35: input, references = 3, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), pppp4-{F}(V1,V2), member-{F}(V3,V2) | member-{T}(V3,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #36: input, references = 4, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp4-{T}(V1,V2), pppp13-{T}(V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #37: input, references = 4, size of lhs = 1:
% 71.11/71.31 pppp13-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #38: input, references = 4, size of lhs = 3:
% 71.11/71.31 pppp7-{F}(V0,V1,V2), member-{F}(V2,V1), member-{F}(V2,V0) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #39: input, references = 5, size of lhs = 1:
% 71.11/71.31 pppp7-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #40: input, references = 3, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #41: input, references = 3, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), pppp5-{F}(V1) | empty-{T}(V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #42: input, references = 4, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), pppp5-{F}(V1), member-{F}(V2,V1) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #43: input, references = 6, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), #-{F} V1 | pppp5-{T}(V1), pppp14-{T}(V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #44: input, references = 4, size of lhs = 1:
% 71.11/71.31 pppp14-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #45: input, references = 4, size of lhs = 1:
% 71.11/71.31 pppp8-{F}(V0,V1) | member-{T}(V1,V0)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #46: input, references = 4, size of lhs = 1:
% 71.11/71.31 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #47: input, references = 4, size of lhs = 1:
% 71.11/71.31 pppp11-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #48: input, references = 5, size of lhs = 1:
% 71.11/71.31 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #49: input, references = 6, size of lhs = 6:
% 71.11/71.31 pppp9-{F}(V0,V1,V2), P_difference-{F}(V1,V2,V3), P_intersection-{F}(V0,V3,V7), P_intersection-{F}(V0,V1,V5), P_intersection-{F}(V0,V2,V6), P_difference-{F}(V5,V6,V7) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #50: input, references = 12, size of lhs = 2:
% 71.11/71.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #51: input, references = 13, size of lhs = 2:
% 71.11/71.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #52: input, references = 4, size of lhs = 0:
% 71.11/71.31 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #53: input, references = 6, size of lhs = 2:
% 71.11/71.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 number of initial rules = 54
% 71.11/71.31
% 71.11/71.31 Simplifiers:
% 71.11/71.31 #54: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #55: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #56: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #57: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #58: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #59: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #60: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #61: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #62: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V1 == V4 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #63: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V0 == V3 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #64: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #65: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #66: unsound, references = 3, size of lhs = 3:
% 71.11/71.31 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 number of simplifiers = 13
% 71.11/71.31
% 71.11/71.31 Learnt:
% 71.11/71.31 #68: exists( #51, #2 ), references = 14, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), subset-{F}(V1,V2) | P_difference-{T}(V1,V2,V0)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #73: mergings( V3 == V4; #71 ), references = 3, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V1,V2,V1) | P_intersection-{T}(V2,V1,V0)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #77: exists( #53, #3 ), references = 7, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), #-{F} V1 | P_union-{T}(V1,V0,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #79: exists( #51, #4 ), references = 6, size of lhs = 5:
% 71.11/71.31 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V3), P_difference-{F}(V4,V1,V5), P_difference-{F}(V4,V2,V6), P_union-{F}(V5,V6,V7) | P_difference-{T}(V4,V3,V7)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #88: mergings( V3 == V4, V4 == V5, V5 == V6; #84 ), references = 11, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V1,V1,V2), P_union-{F}(V2,V3,V0), P_difference-{F}(V1,V4,V3) | P_intersection-{T}(V1,V4,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #90: exists( #53, #21 ), references = 3, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), P_union-{F}(V1,V2,V3) | P_union-{T}(V2,V1,V3)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #93: mergings( V0 == V3; #91 ), references = 1, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | pppp13-{T}(V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #95: disj( #39, input ), references = 2, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), pppp7-{F}(V1,V0,V2) | member-{T}(V2,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #100: mergings( V0 == V1; #96 ), references = 1, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp1-{T}(V2,V0,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #101: disj( #15, input ), references = 1, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), member-{F}(V1,V2), member-{F}(V1,V3), pppp7-{F}(V3,V4,V1) | pppp1-{T}(V2,V4,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #103: mergings( V0 == V4; #98 ), references = 1, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), pppp5-{F}(V1), member-{F}(V2,V3) | pppp1-{T}(V3,V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #105: exists( #50, #5 ), references = 14, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V1,V2,V3), P_intersection-{F}(V4,V1,V5), P_difference-{F}(V5,V2,V6) | P_intersection-{T}(V4,V3,V6)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #115: exists( #51, #5 ), references = 8, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V1,V2,V3), P_intersection-{F}(V4,V3,V5), P_intersection-{F}(V4,V1,V6) | P_difference-{T}(V6,V2,V5)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #124: mergings( V0 == V3, V3 == V2; #119 ), references = 1, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp12-{T}(V2,V0)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #127: mergings( V0 == V3, V3 == V4; #120 ), references = 1, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), member-{F}(V1,V2), pppp1-{F}(V3,V4,V1) | pppp12-{T}(V2,V4)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #129: mergings( V0 == V3; #121 ), references = 1, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), member-{F}(V1,V2), member-{F}(V1,V3), pppp7-{F}(V3,V4,V1) | pppp12-{T}(V2,V4)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #184: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #171 ), references = 1, size of lhs = 6:
% 71.11/71.31 P_empty_set-{F}(V0), P_union-{F}(V0,V0,V0), P_intersection-{F}(V1,V1,V1), P_intersection-{F}(V2,V1,V3), P_difference-{F}(V3,V2,V4), P_difference-{F}(V1,V4,V2) | P_difference-{T}(V1,V2,V4)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #196: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #172 ), references = 1, size of lhs = 6:
% 71.11/71.31 P_empty_set-{F}(V0), P_union-{F}(V0,V0,V0), P_intersection-{F}(V1,V1,V1), P_intersection-{F}(V2,V1,V3), P_difference-{F}(V3,V2,V4), P_difference-{F}(V1,V4,V2) | P_difference-{T}(V1,V2,V0)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #209: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #173 ), references = 1, size of lhs = 8:
% 71.11/71.31 P_empty_set-{F}(V0), P_union-{F}(V0,V0,V0), P_intersection-{F}(V1,V1,V1), P_intersection-{F}(V2,V0,V3), P_difference-{F}(V1,V3,V4), P_difference-{F}(V4,V2,V3), P_intersection-{F}(V2,V1,V5), P_difference-{F}(V5,V2,V3) | P_difference-{T}(V1,V2,V0)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #245: mergings( V3 == V1, V1 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19; #226 ), references = 1, size of lhs = 5:
% 71.11/71.31 P_empty_set-{F}(V0), P_union-{F}(V0,V0,V0), P_intersection-{F}(V1,V1,V1), P_difference-{F}(V1,V1,V2), P_union-{F}(V2,V0,V0) | P_difference-{T}(V1,V0,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #264: mergings( V0 == V2; #262 ), references = 1, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp14-{T}(V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #267: disj( #39, input ), references = 1, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), pppp7-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #268: disj( #39, input ), references = 1, size of lhs = 2:
% 71.11/71.31 pppp7-{F}(V0,V1,V2), pppp6-{F}(V3,V0,V2) | member-{T}(V2,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #273: exists( #44, #269 ), references = 1, size of lhs = 2:
% 71.11/71.31 pppp14-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #276: mergings( V0 == V1; #274 ), references = 1, size of lhs = 1:
% 71.11/71.31 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #281: mergings( V1 == V3; #279 ), references = 1, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), pppp5-{F}(V1), pppp13-{F}(V1,V0) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #285: mergings( V0 == V2, V2 == V3; #282 ), references = 1, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), pppp13-{F}(V1,V0) | pppp14-{T}(V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #292: exists( #50, #23 ), references = 4, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V3) | P_intersection-{T}(V2,V1,V3)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #299: mergings( V3 == V4, V4 == V5; #296 ), references = 1, size of lhs = 6:
% 71.11/71.31 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V2), P_difference-{F}(V2,V3,V0), pppp9-{F}(V1,V2,V4), P_intersection-{F}(V1,V4,V5), P_intersection-{F}(V4,V3,V5) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #305: mergings( V3 == V4, V4 == V5, V5 == V6; #301 ), references = 1, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V2), P_difference-{F}(V2,V1,V0), pppp9-{F}(V1,V2,V3) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #310: mergings( V3 == V4, V4 == V5, V5 == V6; #306 ), references = 1, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), pppp10-{F}(V1,V2), P_intersection-{F}(V1,V2,V2), P_difference-{F}(V2,V1,V0) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #324: mergings( V5 == V7; #322 ), references = 3, size of lhs = 6:
% 71.11/71.31 P_empty_set-{F}(V0), pppp9-{F}(V1,V2,V3), P_intersection-{F}(V1,V2,V4), P_difference-{F}(V4,V3,V5), P_intersection-{F}(V1,V3,V6), P_difference-{F}(V4,V6,V5) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #329: mergings( V3 == V4; #327 ), references = 1, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), P_intersection-{F}(V1,V1,V1), pppp9-{F}(V1,V2,V1) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #334: mergings( V3 == V4; #332 ), references = 1, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), pppp9-{F}(V1,V2,V2), P_difference-{F}(V2,V2,V3), P_intersection-{F}(V1,V3,V0) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #336: exists( #53, #4 ), references = 1, size of lhs = 5:
% 71.11/71.31 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V3), P_difference-{F}(V4,V3,V5), P_difference-{F}(V4,V1,V6), P_difference-{F}(V4,V2,V7) | P_union-{T}(V6,V7,V5)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #352: disj( #15, input ), references = 1, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), member-{F}(V1,V2), member-{F}(V1,V3), pppp7-{F}(V4,V3,V1) | pppp1-{T}(V2,V4,V1)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #411: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #397 ), references = 1, size of lhs = 8:
% 71.11/71.31 P_empty_set-{F}(V0), P_union-{F}(V0,V0,V0), P_intersection-{F}(V1,V1,V1), P_intersection-{F}(V2,V1,V3), P_difference-{F}(V1,V2,V4), P_intersection-{F}(V5,V4,V4), pppp9-{F}(V5,V6,V4), P_intersection-{F}(V5,V6,V3) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #437: mergings( V3 == V4; #435 ), references = 1, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V1,V2,V0), P_intersection-{F}(V3,V2,V4), P_difference-{F}(V1,V4,V5) | P_difference-{T}(V1,V3,V5)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #448: mergings( V0 == V3, V3 == V4; #445 ), references = 1, size of lhs = 3:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V1,V2,V3), V3 == V0 | pppp12-{T}(V1,V2)
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #574: mergings( V3 == V4, V4 == V5, V5 == V6; #570 ), references = 1, size of lhs = 6:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V1,V2,V0), P_intersection-{F}(V3,V4,V1), pppp9-{F}(V3,V4,V5), P_intersection-{F}(V2,V5,V6), P_intersection-{F}(V3,V5,V6) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #579: mergings( V3 == V4, V4 == V5, V5 == V6; #575 ), references = 1, size of lhs = 4:
% 71.11/71.31 P_empty_set-{F}(V0), P_difference-{F}(V1,V2,V0), P_intersection-{F}(V2,V3,V1), pppp9-{F}(V2,V3,V4) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #586: mergings( V3 == V4, V4 == V5, V5 == V6; #582 ), references = 1, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), pppp9-{F}(V1,V2,V3) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #591: mergings( V3 == V4, V4 == V5, V5 == V6; #587 ), references = 1, size of lhs = 2:
% 71.11/71.31 P_empty_set-{F}(V0), pppp10-{F}(V1,V2) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #596: mergings( V2 == V3, V3 == V4, V4 == V5; #592 ), references = 1, size of lhs = 2:
% 71.11/71.31 pppp11-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #602: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5; #597 ), references = 1, size of lhs = 1:
% 71.11/71.31 P_empty_set-{F}(V0) | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 #604: exists( #52, #597 ), references = 1, size of lhs = 0:
% 71.11/71.31 FALSE | FALSE
% 71.11/71.31 (used 0 times, uses = {})
% 71.11/71.31
% 71.11/71.31 number of learnt formulas = 46
% 71.11/71.31
% 71.11/71.31
% 71.11/71.31 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 71.11/71.31
% 71.11/71.31 randbase = 1
%------------------------------------------------------------------------------