TSTP Solution File: SET062+4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET062+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:15:43 EDT 2022
% Result : Theorem 67.77s 67.97s
% Output : Refutation 67.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET062+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 02:17:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 67.77/67.97 GeoParameters:
% 67.77/67.97
% 67.77/67.97 tptp_input = 1
% 67.77/67.97 tptp_output = 0
% 67.77/67.97 nonempty = 1
% 67.77/67.97 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 67.77/67.97 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 67.77/67.97
% 67.77/67.97
% 67.77/67.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 67.77/67.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 67.77/67.97
% 67.77/67.97 RuleSystem INPUT:
% 67.77/67.97
% 67.77/67.97 Initial Rules:
% 67.77/67.97 #0: input, references = 5, size of lhs = 1:
% 67.77/67.97 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #1: input, references = 8, size of lhs = 1:
% 67.77/67.97 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #2: input, references = 10, size of lhs = 2:
% 67.77/67.97 pppp0-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3: input, references = 12, size of lhs = 2:
% 67.77/67.97 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp12-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #4: input, references = 11, size of lhs = 1:
% 67.77/67.97 pppp12-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #5: input, references = 9, size of lhs = 2:
% 67.77/67.97 pppp8-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #6: input, references = 17, size of lhs = 1:
% 67.77/67.97 pppp8-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #7: input, references = 3, size of lhs = 1:
% 67.77/67.97 equal_set-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #8: input, references = 3, size of lhs = 1:
% 67.77/67.97 pppp1-{F}(V0,V1) | equal_set-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #9: input, references = 3, size of lhs = 1:
% 67.77/67.97 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #10: input, references = 3, size of lhs = 1:
% 67.77/67.97 pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #11: input, references = 3, size of lhs = 2:
% 67.77/67.97 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #12: input, references = 5, size of lhs = 2:
% 67.77/67.97 P_power_set-{F}(V1,V2), member-{F}(V0,V2) | subset-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #13: input, references = 7, size of lhs = 2:
% 67.77/67.97 P_power_set-{F}(V1,V2), subset-{F}(V0,V1) | member-{T}(V0,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #14: input, references = 10, size of lhs = 2:
% 67.77/67.97 P_intersection-{F}(V1,V2,V3), member-{F}(V0,V3) | pppp2-{T}(V1,V2,V0)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #15: input, references = 3, size of lhs = 2:
% 67.77/67.97 P_intersection-{F}(V1,V2,V3), pppp2-{F}(V1,V2,V0) | member-{T}(V0,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #16: input, references = 4, size of lhs = 1:
% 67.77/67.97 pppp2-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #17: input, references = 9, size of lhs = 1:
% 67.77/67.97 pppp2-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #18: input, references = 3, size of lhs = 2:
% 67.77/67.97 member-{F}(V2,V0), member-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #19: input, references = 3, size of lhs = 2:
% 67.77/67.97 P_union-{F}(V1,V2,V3), member-{F}(V0,V3) | pppp3-{T}(V1,V2,V0)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #20: input, references = 3, size of lhs = 2:
% 67.77/67.97 P_union-{F}(V1,V2,V3), pppp3-{F}(V1,V2,V0) | member-{T}(V0,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #21: input, references = 3, size of lhs = 1:
% 67.77/67.97 pppp3-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #22: input, references = 3, size of lhs = 2:
% 67.77/67.97 #-{F} V1, member-{F}(V2,V0) | pppp3-{T}(V0,V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #23: input, references = 3, size of lhs = 2:
% 67.77/67.97 #-{F} V0, member-{F}(V2,V1) | pppp3-{T}(V0,V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #24: input, references = 13, size of lhs = 2:
% 67.77/67.97 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #25: input, references = 9, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_difference-{F}(V3,V2,V4), member-{F}(V1,V4) | pppp4-{T}(V2,V1,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #26: input, references = 7, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_difference-{F}(V3,V2,V4), pppp4-{F}(V2,V1,V3) | member-{T}(V1,V4)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #27: input, references = 8, size of lhs = 2:
% 67.77/67.97 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3) | member-{T}(V2,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #28: input, references = 8, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3), member-{F}(V2,V1) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #29: input, references = 4, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), #-{F} V1, member-{F}(V2,V3) | pppp4-{T}(V1,V2,V3), member-{T}(V2,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #30: input, references = 15, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), member-{F}(V1,V3), V1 == V2 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #31: input, references = 3, size of lhs = 2:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | member-{T}(V2,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #32: input, references = 5, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), member-{F}(V1,V4) | pppp5-{T}(V2,V3,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #33: input, references = 3, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), pppp5-{F}(V2,V3,V1) | member-{T}(V1,V4)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #34: input, references = 5, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V3), V3 == V1, V3 == V2 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #35: input, references = 3, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp5-{T}(V1,V2,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #36: input, references = 3, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp5-{T}(V1,V2,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #37: input, references = 3, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_sum-{F}(V2,V3), member-{F}(V1,V3) | pppp6-{T}(V2,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #38: input, references = 3, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_sum-{F}(V2,V3), pppp6-{F}(V2,V1) | member-{T}(V1,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #39: input, references = 4, size of lhs = 2:
% 67.77/67.97 P_empty_set-{F}(V0), pppp6-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V1,V2,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #40: input, references = 3, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), member-{F}(V3,V1), member-{F}(V2,V3) | pppp6-{T}(V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #41: input, references = 3, size of lhs = 1:
% 67.77/67.97 pppp9-{F}(V0,V1,V2) | member-{T}(V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #42: input, references = 4, size of lhs = 1:
% 67.77/67.97 pppp9-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #43: input, references = 4, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_product-{F}(V2,V3), member-{F}(V1,V3) | pppp7-{T}(V2,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #44: input, references = 11, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_product-{F}(V2,V3), pppp7-{F}(V2,V1) | member-{T}(V1,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #45: input, references = 5, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), pppp7-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V2,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #46: input, references = 9, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp7-{T}(V1,V2), pppp13-{T}(V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #47: input, references = 5, size of lhs = 1:
% 67.77/67.97 pppp13-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #48: input, references = 5, size of lhs = 2:
% 67.77/67.97 pppp10-{F}(V0,V1,V2), member-{F}(V1,V2) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #49: input, references = 5, size of lhs = 1:
% 67.77/67.97 pppp10-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #50: input, references = 6, size of lhs = 1:
% 67.77/67.97 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #51: input, references = 4, size of lhs = 2:
% 67.77/67.97 pppp11-{F}(V0,V1), subset-{F}(V0,V1) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #52: input, references = 3, size of lhs = 1:
% 67.77/67.97 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #53: input, references = 5, size of lhs = 2:
% 67.77/67.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #54: input, references = 3, size of lhs = 2:
% 67.77/67.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #55: input, references = 4, size of lhs = 0:
% 67.77/67.97 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #56: input, references = 5, size of lhs = 2:
% 67.77/67.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #57: input, references = 3, size of lhs = 1:
% 67.77/67.97 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #58: input, references = 3, size of lhs = 2:
% 67.77/67.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #59: input, references = 3, size of lhs = 1:
% 67.77/67.97 #-{F} V0 | EXISTS V1: P_sum-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #60: input, references = 3, size of lhs = 1:
% 67.77/67.97 #-{F} V0 | EXISTS V1: P_product-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 number of initial rules = 61
% 67.77/67.97
% 67.77/67.97 Simplifiers:
% 67.77/67.97 #61: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #62: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #63: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #64: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #65: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #66: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #67: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #68: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 P_sum-{F}(V0,V1), P_sum-{F}(V0,V3), V1 == V3 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #69: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 P_product-{F}(V0,V1), P_product-{F}(V0,V3), V1 == V3 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #70: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #71: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #72: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #73: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #74: unsound, references = 3, size of lhs = 3:
% 67.77/67.97 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 number of simplifiers = 14
% 67.77/67.97
% 67.77/67.97 Learnt:
% 67.77/67.97 #93: disj( #3, #1+#51 ), references = 4, size of lhs = 1:
% 67.77/67.97 pppp11-{F}(V0,V1) | pppp12-{T}(V0,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #137: mergings( V0 == V3, V3 == V4; #134 ), references = 1, size of lhs = 5:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V2,V3), #-{F} V4, V4 == V1 | pppp13-{T}(V3,V4)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #142: disj( #3, #1+#13+#24 ), references = 1, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_power_set-{F}(V1,V0), #-{F} V2 | pppp12-{T}(V2,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #165: exists( #4, #163 ), references = 1, size of lhs = 1:
% 67.77/67.97 pppp12-{F}(V0,V0) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #170: disj( #3, exists( #4, #163 ) ), references = 1, size of lhs = 1:
% 67.77/67.97 #-{F} V0 | pppp0-{T}(V0,V0)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #179: disj( #3, #2+#24 ), references = 1, size of lhs = 2:
% 67.77/67.97 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp12-{T}(V2,V0)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #213: mergings( V0 == V3, V3 == V4; #210 ), references = 1, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_product-{F}(V1,V0), #-{F} V2 | pppp13-{T}(V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #278: disj( #3, #1+#13+#30 ), references = 4, size of lhs = 5:
% 67.77/67.97 P_empty_set-{F}(V0), P_power_set-{F}(V1,V2), P_singleton-{F}(V3,V2), #-{F} V4, V4 == V3 | pppp12-{T}(V4,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #365: mergings( V3 == V4; #363 ), references = 1, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), pppp12-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V1) | pppp8-{T}(V1,V2,V3), pppp8-{T}(V1,V2,V4)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #441: disj( #3, #1+#13+#2+#30 ), references = 1, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_power_set-{F}(V2,V3), V3 == V1 | pppp12-{T}(V3,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #480: mergings( V0 == V3, V3 == V4; #476 ), references = 1, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), P_power_set-{F}(V0,V1), P_product-{F}(V2,V1), member-{F}(V3,V4) | pppp13-{T}(V2,V4)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #483: mergings( V0 == V3, V3 == V4; #477 ), references = 1, size of lhs = 5:
% 67.77/67.97 P_empty_set-{F}(V0), P_product-{F}(V1,V2), P_power_set-{F}(V3,V2), member-{F}(V4,V5), pppp4-{F}(V3,V4,V6) | pppp13-{T}(V1,V5)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #633: mergings( V3 == V4, V4 == V5; #630 ), references = 3, size of lhs = 5:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V2,V3), P_product-{F}(V3,V4), pppp12-{F}(V4,V5) | pppp8-{T}(V4,V5,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #644: mergings( V2 == V0; #642 ), references = 1, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), P_product-{F}(V1,V0), member-{F}(V2,V1), P_singleton-{F}(V3,V2) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #731: exists( #4, #729 ), references = 5, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_intersection-{F}(V2,V3,V4), pppp12-{F}(V4,V5) | pppp8-{T}(V4,V5,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #790: mergings( V0 == V3, V3 == V4, V4 == V5; #786 ), references = 1, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), P_product-{F}(V1,V2), member-{F}(V3,V4), P_difference-{F}(V5,V4,V2) | pppp13-{T}(V1,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #976: mergings( V0 == V1; #972 ), references = 1, size of lhs = 2:
% 67.77/67.97 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp4-{T}(V0,V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #977: disj( #29, input ), references = 5, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), member-{F}(V1,V2), pppp8-{F}(V3,V4,V1) | pppp4-{T}(V4,V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #979: mergings( V0 == V4; #974 ), references = 2, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), member-{F}(V1,V2), pppp4-{F}(V3,V1,V4) | pppp4-{T}(V3,V1,V2)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #1020: mergings( V3 == V4; #1016 ), references = 1, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), P_power_set-{F}(V1,V2), P_singleton-{F}(V3,V2), P_singleton-{F}(V4,V5) | P_intersection-{T}(V5,V1,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #1023: mergings( V3 == V4, V4 == V1; #1017 ), references = 1, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), P_power_set-{F}(V1,V2), P_singleton-{F}(V3,V2), P_singleton-{F}(V4,V5) | P_intersection-{T}(V5,V0,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #1026: mergings( V3 == V4, V4 == V5; #1018 ), references = 1, size of lhs = 5:
% 67.77/67.97 P_empty_set-{F}(V0), P_power_set-{F}(V1,V2), P_singleton-{F}(V3,V2), P_singleton-{F}(V4,V5), pppp4-{F}(V6,V4,V7) | P_intersection-{T}(V5,V6,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #1113: mergings( V0 == V3, V3 == V4; #1110 ), references = 1, size of lhs = 5:
% 67.77/67.97 P_empty_set-{F}(V0), P_product-{F}(V1,V2), P_singleton-{F}(V3,V2), #-{F} V4, V4 == V3 | pppp13-{T}(V1,V4)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #1321: mergings( V3 == V4, V4 == V5; #1318 ), references = 2, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_difference-{F}(V2,V3,V4), pppp12-{F}(V4,V5) | pppp8-{T}(V4,V5,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #1337: mergings( V2 == V0; #1333 ), references = 1, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_difference-{F}(V2,V3,V0) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #1494: disj( #3, #731+#5 ), references = 2, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V1,V3), P_intersection-{F}(V2,V4,V5) | pppp0-{T}(V5,V3)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #1799: exists( #47, #1797 ), references = 1, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp13-{F}(V2,V3) | pppp10-{T}(V2,V3,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #2153: mergings( V0 == V4; #2151 ), references = 1, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp6-{F}(V2,V3) | pppp9-{T}(V2,V3,V1)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #2739: exists( #47, #2737 ), references = 2, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), pppp13-{F}(V1,V2), pppp0-{F}(V1,V3), P_singleton-{F}(V4,V3) | pppp10-{T}(V1,V2,V4)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3200: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #3192 ), references = 1, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), P_product-{F}(V1,V2), P_difference-{F}(V3,V3,V2), #-{F} V4 | pppp13-{T}(V1,V4)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3204: mergings( V0 == V3, V3 == V4, V4 == V5; #3193 ), references = 1, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), P_product-{F}(V1,V2), P_difference-{F}(V3,V4,V2), pppp10-{F}(V5,V6,V3) | pppp13-{T}(V1,V6)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3209: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6; #3194 ), references = 1, size of lhs = 6:
% 67.77/67.97 P_empty_set-{F}(V0), P_product-{F}(V1,V2), P_singleton-{F}(V3,V4), P_difference-{F}(V4,V5,V2), #-{F} V6, V6 == V3 | pppp13-{T}(V1,V6)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3346: disj( #3, #633+#5 ), references = 1, size of lhs = 5:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V2,V3), P_product-{F}(V3,V4), member-{F}(V1,V5) | pppp0-{T}(V4,V5)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3389: mergings( V3 == V4, V4 == V5; #3386 ), references = 1, size of lhs = 6:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V1,V3), P_power_set-{F}(V3,V4), P_unordered_pair-{F}(V5,V6,V4), #-{F} V7 | P_intersection-{T}(V2,V7,V5), P_intersection-{T}(V2,V7,V6)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3402: mergings( V0 == V1, V1 == V2, V2 == V9; #3396 ), references = 1, size of lhs = 6:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V1,V3), P_power_set-{F}(V3,V4), member-{F}(V5,V6), P_unordered_pair-{F}(V6,V7,V4) | P_intersection-{T}(V2,V0,V7)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3406: mergings( V0 == V1, V1 == V2, V2 == V10; #3397 ), references = 1, size of lhs = 7:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V1,V3), P_power_set-{F}(V3,V4), member-{F}(V5,V6), P_unordered_pair-{F}(V6,V7,V4), pppp4-{F}(V8,V5,V9) | P_intersection-{T}(V2,V8,V7)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3409: mergings( V0 == V1, V1 == V2; #3398 ), references = 1, size of lhs = 7:
% 67.77/67.97 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V1,V3), P_power_set-{F}(V3,V4), P_unordered_pair-{F}(V5,V6,V4), member-{F}(V7,V5), pppp8-{F}(V8,V9,V7) | P_intersection-{T}(V2,V9,V6)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3457: disj( #3, #2739+#48 ), references = 1, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), pppp13-{F}(V1,V2), member-{F}(V2,V3), P_singleton-{F}(V3,V4) | pppp12-{T}(V1,V4)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3805: mergings( V3 == V4, V4 == V5; #3801 ), references = 1, size of lhs = 3:
% 67.77/67.97 P_empty_set-{F}(V0), pppp12-{F}(V1,V2), P_difference-{F}(V1,V2,V0) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3942: mergings( V3 == V4; #3938 ), references = 1, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), pppp12-{F}(V1,V2), P_difference-{F}(V1,V2,V3), pppp0-{F}(V3,V2) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #3945: mergings( V3 == V4, V4 == V5; #3940 ), references = 1, size of lhs = 5:
% 67.77/67.97 P_empty_set-{F}(V0), pppp12-{F}(V1,V2), P_difference-{F}(V1,V2,V3), pppp0-{F}(V3,V4), P_singleton-{F}(V5,V4) | pppp8-{T}(V1,V2,V5)
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #4188: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #4182 ), references = 1, size of lhs = 4:
% 67.77/67.97 P_empty_set-{F}(V0), pppp12-{F}(V1,V2), P_difference-{F}(V1,V2,V3), P_difference-{F}(V0,V4,V3) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #4197: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V0; #4191 ), references = 2, size of lhs = 2:
% 67.77/67.97 P_empty_set-{F}(V0), pppp12-{F}(V0,V1) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #4204: exists( #50, #4202 ), references = 1, size of lhs = 1:
% 67.77/67.97 P_empty_set-{F}(V0) | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 #4206: exists( #55, #4203 ), references = 1, size of lhs = 0:
% 67.77/67.97 FALSE | FALSE
% 67.77/67.97 (used 0 times, uses = {})
% 67.77/67.97
% 67.77/67.97 number of learnt formulas = 45
% 67.77/67.97
% 67.77/67.97
% 67.77/67.97 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 67.77/67.97
% 67.77/67.97 randbase = 1
%------------------------------------------------------------------------------