TSTP Solution File: SET705+4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET705+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:16:37 EDT 2022
% Result : Theorem 1.01s 1.18s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET705+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 : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jul 23 01:44:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.01/1.18 GeoParameters:
% 1.01/1.18
% 1.01/1.18 tptp_input = 1
% 1.01/1.18 tptp_output = 0
% 1.01/1.18 nonempty = 1
% 1.01/1.18 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/1.18 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.01/1.18
% 1.01/1.18
% 1.01/1.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/1.18 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/1.18
% 1.01/1.18 RuleSystem INPUT:
% 1.01/1.18
% 1.01/1.18 Initial Rules:
% 1.01/1.18 #0: input, references = 3, size of lhs = 1:
% 1.01/1.18 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #1: input, references = 6, size of lhs = 1:
% 1.01/1.18 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #2: input, references = 3, size of lhs = 2:
% 1.01/1.18 pppp0-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #3: input, references = 6, size of lhs = 2:
% 1.01/1.18 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp12-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #4: input, references = 4, size of lhs = 1:
% 1.01/1.18 pppp12-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #5: input, references = 4, size of lhs = 2:
% 1.01/1.18 pppp8-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #6: input, references = 4, size of lhs = 1:
% 1.01/1.18 pppp8-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #7: input, references = 3, size of lhs = 1:
% 1.01/1.18 equal_set-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #8: input, references = 3, size of lhs = 1:
% 1.01/1.18 pppp1-{F}(V0,V1) | equal_set-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #9: input, references = 3, size of lhs = 1:
% 1.01/1.18 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #10: input, references = 3, size of lhs = 1:
% 1.01/1.18 pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #11: input, references = 3, size of lhs = 2:
% 1.01/1.18 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #12: input, references = 3, size of lhs = 2:
% 1.01/1.18 P_power_set-{F}(V1,V2), member-{F}(V0,V2) | subset-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #13: input, references = 6, size of lhs = 2:
% 1.01/1.18 P_power_set-{F}(V1,V2), subset-{F}(V0,V1) | member-{T}(V0,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #14: input, references = 3, size of lhs = 2:
% 1.01/1.18 P_intersection-{F}(V1,V2,V3), member-{F}(V0,V3) | pppp2-{T}(V1,V2,V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #15: input, references = 3, size of lhs = 2:
% 1.01/1.18 P_intersection-{F}(V1,V2,V3), pppp2-{F}(V1,V2,V0) | member-{T}(V0,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #16: input, references = 3, size of lhs = 1:
% 1.01/1.18 pppp2-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #17: input, references = 3, size of lhs = 1:
% 1.01/1.18 pppp2-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #18: input, references = 3, size of lhs = 2:
% 1.01/1.18 member-{F}(V2,V0), member-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #19: input, references = 3, size of lhs = 2:
% 1.01/1.18 P_union-{F}(V1,V2,V3), member-{F}(V0,V3) | pppp3-{T}(V1,V2,V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #20: input, references = 3, size of lhs = 2:
% 1.01/1.18 P_union-{F}(V1,V2,V3), pppp3-{F}(V1,V2,V0) | member-{T}(V0,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #21: input, references = 3, size of lhs = 1:
% 1.01/1.18 pppp3-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #22: input, references = 3, size of lhs = 2:
% 1.01/1.18 #-{F} V1, member-{F}(V2,V0) | pppp3-{T}(V0,V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #23: input, references = 3, size of lhs = 2:
% 1.01/1.18 #-{F} V0, member-{F}(V2,V1) | pppp3-{T}(V0,V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #24: input, references = 5, size of lhs = 2:
% 1.01/1.18 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #25: input, references = 3, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), P_difference-{F}(V3,V2,V4), member-{F}(V1,V4) | pppp4-{T}(V2,V1,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #26: input, references = 3, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), P_difference-{F}(V3,V2,V4), pppp4-{F}(V2,V1,V3) | member-{T}(V1,V4)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #27: input, references = 3, size of lhs = 2:
% 1.01/1.18 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3) | member-{T}(V2,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #28: input, references = 3, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3), member-{F}(V2,V1) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #29: input, references = 3, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), #-{F} V1, member-{F}(V2,V3) | pppp4-{T}(V1,V2,V3), member-{T}(V2,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #30: input, references = 5, size of lhs = 4:
% 1.01/1.18 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), member-{F}(V1,V3), V1 == V2 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #31: input, references = 3, size of lhs = 2:
% 1.01/1.18 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | member-{T}(V2,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #32: input, references = 4, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), member-{F}(V1,V4) | pppp5-{T}(V2,V3,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #33: input, references = 3, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), pppp5-{F}(V2,V3,V1) | member-{T}(V1,V4)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #34: input, references = 4, size of lhs = 4:
% 1.01/1.18 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V3), V3 == V1, V3 == V2 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #35: input, references = 3, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp5-{T}(V1,V2,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #36: input, references = 3, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp5-{T}(V1,V2,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #37: input, references = 3, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), P_sum-{F}(V2,V3), member-{F}(V1,V3) | pppp6-{T}(V2,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #38: input, references = 3, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), P_sum-{F}(V2,V3), pppp6-{F}(V2,V1) | member-{T}(V1,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #39: input, references = 3, size of lhs = 2:
% 1.01/1.18 P_empty_set-{F}(V0), pppp6-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V1,V2,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #40: input, references = 3, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), member-{F}(V3,V1), member-{F}(V2,V3) | pppp6-{T}(V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #41: input, references = 3, size of lhs = 1:
% 1.01/1.18 pppp9-{F}(V0,V1,V2) | member-{T}(V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #42: input, references = 3, size of lhs = 1:
% 1.01/1.18 pppp9-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #43: input, references = 3, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), P_product-{F}(V2,V3), member-{F}(V1,V3) | pppp7-{T}(V2,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #44: input, references = 6, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), P_product-{F}(V2,V3), pppp7-{F}(V2,V1) | member-{T}(V1,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #45: input, references = 6, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), pppp7-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V2,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #46: input, references = 6, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp7-{T}(V1,V2), pppp13-{T}(V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #47: input, references = 3, size of lhs = 1:
% 1.01/1.18 pppp13-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #48: input, references = 3, size of lhs = 2:
% 1.01/1.18 pppp10-{F}(V0,V1,V2), member-{F}(V1,V2) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #49: input, references = 3, size of lhs = 1:
% 1.01/1.18 pppp10-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #50: input, references = 4, size of lhs = 1:
% 1.01/1.18 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #51: input, references = 5, size of lhs = 3:
% 1.01/1.18 pppp11-{F}(V0), P_power_set-{F}(V0,V1), member-{F}(V0,V1) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #52: input, references = 4, size of lhs = 1:
% 1.01/1.18 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #53: input, references = 3, size of lhs = 2:
% 1.01/1.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #54: input, references = 3, size of lhs = 2:
% 1.01/1.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #55: input, references = 4, size of lhs = 0:
% 1.01/1.18 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #56: input, references = 3, size of lhs = 2:
% 1.01/1.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #57: input, references = 3, size of lhs = 1:
% 1.01/1.18 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #58: input, references = 3, size of lhs = 2:
% 1.01/1.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #59: input, references = 3, size of lhs = 1:
% 1.01/1.18 #-{F} V0 | EXISTS V1: P_sum-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #60: input, references = 3, size of lhs = 1:
% 1.01/1.18 #-{F} V0 | EXISTS V1: P_product-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 number of initial rules = 61
% 1.01/1.18
% 1.01/1.18 Simplifiers:
% 1.01/1.18 #61: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #62: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #63: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #64: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #65: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #66: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #67: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #68: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_sum-{F}(V0,V1), P_sum-{F}(V0,V3), V1 == V3 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #69: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_product-{F}(V0,V1), P_product-{F}(V0,V3), V1 == V3 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #70: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #71: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #72: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #73: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 number of simplifiers = 13
% 1.01/1.18
% 1.01/1.18 Learnt:
% 1.01/1.18 #88: disj( #3, #1+#13+#51 ), references = 2, size of lhs = 3:
% 1.01/1.18 pppp11-{F}(V0), P_power_set-{F}(V0,V1), P_power_set-{F}(V2,V1) | pppp12-{T}(V0,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #117: mergings( V0 == V3, V3 == V4; #114 ), references = 1, size of lhs = 5:
% 1.01/1.18 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V2,V3), #-{F} V4, V4 == V1 | pppp13-{T}(V3,V4)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #122: disj( #3, #1+#13+#24 ), references = 1, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), P_power_set-{F}(V1,V0), #-{F} V2 | pppp12-{T}(V2,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #166: mergings( V0 == V3, V3 == V4; #163 ), references = 1, size of lhs = 5:
% 1.01/1.18 P_empty_set-{F}(V0), P_product-{F}(V1,V2), P_singleton-{F}(V3,V2), #-{F} V4, V4 == V3 | pppp13-{T}(V1,V4)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #202: mergings( V0 == V3, V3 == V4, V4 == V2; #197 ), references = 1, size of lhs = 3:
% 1.01/1.18 P_empty_set-{F}(V0), P_product-{F}(V1,V2), pppp7-{F}(V2,V3) | pppp13-{T}(V1,V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #205: mergings( V0 == V3, V3 == V4; #198 ), references = 1, size of lhs = 5:
% 1.01/1.18 P_empty_set-{F}(V0), pppp11-{F}(V1), P_power_set-{F}(V1,V2), pppp7-{F}(V3,V1), P_product-{F}(V4,V3) | pppp13-{T}(V4,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #211: mergings( V2 == V3; #209 ), references = 1, size of lhs = 6:
% 1.01/1.18 P_empty_set-{F}(V0), P_power_set-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V2), #-{F} V5, V5 == V3, V5 == V4 | pppp12-{T}(V5,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #252: exists( #4, #250 ), references = 2, size of lhs = 1:
% 1.01/1.18 pppp12-{F}(V0,V0) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #259: exists( #52, #257 ), references = 1, size of lhs = 1:
% 1.01/1.18 pppp11-{F}(V0) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #261: exists( #50, #258 ), references = 1, size of lhs = 1:
% 1.01/1.18 P_empty_set-{F}(V0) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #263: exists( #55, #260 ), references = 1, size of lhs = 0:
% 1.01/1.18 FALSE | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 number of learnt formulas = 11
% 1.01/1.18
% 1.01/1.18
% 1.01/1.18 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/1.18
% 1.01/1.18 randbase = 1
%------------------------------------------------------------------------------