TSTP Solution File: SET366+4 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET366+4 : 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 06:16:09 EDT 2022
% Result : Theorem 16.83s 17.03s
% Output : Refutation 16.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET366+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % 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 02:36:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 16.83/17.03 GeoParameters:
% 16.83/17.03
% 16.83/17.03 tptp_input = 1
% 16.83/17.03 tptp_output = 0
% 16.83/17.03 nonempty = 1
% 16.83/17.03 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.83/17.03 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 16.83/17.03
% 16.83/17.03
% 16.83/17.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.83/17.03 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.83/17.03
% 16.83/17.03 RuleSystem INPUT:
% 16.83/17.03
% 16.83/17.03 Initial Rules:
% 16.83/17.03 #0: input, references = 4, size of lhs = 1:
% 16.83/17.03 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #1: input, references = 8, size of lhs = 1:
% 16.83/17.03 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #2: input, references = 5, size of lhs = 2:
% 16.83/17.03 pppp0-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #3: input, references = 12, size of lhs = 2:
% 16.83/17.03 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp12-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #4: input, references = 7, size of lhs = 1:
% 16.83/17.03 pppp12-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #5: input, references = 6, size of lhs = 2:
% 16.83/17.03 pppp8-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #6: input, references = 7, size of lhs = 1:
% 16.83/17.03 pppp8-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #7: input, references = 3, size of lhs = 1:
% 16.83/17.03 equal_set-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #8: input, references = 3, size of lhs = 1:
% 16.83/17.03 pppp1-{F}(V0,V1) | equal_set-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #9: input, references = 3, size of lhs = 1:
% 16.83/17.03 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #10: input, references = 3, size of lhs = 1:
% 16.83/17.03 pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #11: input, references = 3, size of lhs = 2:
% 16.83/17.03 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #12: input, references = 4, size of lhs = 2:
% 16.83/17.03 P_power_set-{F}(V1,V2), member-{F}(V0,V2) | subset-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #13: input, references = 8, size of lhs = 2:
% 16.83/17.03 P_power_set-{F}(V1,V2), subset-{F}(V0,V1) | member-{T}(V0,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #14: input, references = 3, size of lhs = 2:
% 16.83/17.03 P_intersection-{F}(V1,V2,V3), member-{F}(V0,V3) | pppp2-{T}(V1,V2,V0)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #15: input, references = 3, size of lhs = 2:
% 16.83/17.03 P_intersection-{F}(V1,V2,V3), pppp2-{F}(V1,V2,V0) | member-{T}(V0,V3)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #16: input, references = 3, size of lhs = 1:
% 16.83/17.03 pppp2-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #17: input, references = 3, size of lhs = 1:
% 16.83/17.03 pppp2-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #18: input, references = 3, size of lhs = 2:
% 16.83/17.03 member-{F}(V2,V0), member-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #19: input, references = 3, size of lhs = 2:
% 16.83/17.03 P_union-{F}(V1,V2,V3), member-{F}(V0,V3) | pppp3-{T}(V1,V2,V0)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #20: input, references = 3, size of lhs = 2:
% 16.83/17.03 P_union-{F}(V1,V2,V3), pppp3-{F}(V1,V2,V0) | member-{T}(V0,V3)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #21: input, references = 3, size of lhs = 1:
% 16.83/17.03 pppp3-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #22: input, references = 3, size of lhs = 2:
% 16.83/17.03 #-{F} V1, member-{F}(V2,V0) | pppp3-{T}(V0,V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #23: input, references = 3, size of lhs = 2:
% 16.83/17.03 #-{F} V0, member-{F}(V2,V1) | pppp3-{T}(V0,V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #24: input, references = 7, size of lhs = 2:
% 16.83/17.03 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #25: input, references = 3, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_difference-{F}(V3,V2,V4), member-{F}(V1,V4) | pppp4-{T}(V2,V1,V3)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #26: input, references = 3, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_difference-{F}(V3,V2,V4), pppp4-{F}(V2,V1,V3) | member-{T}(V1,V4)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #27: input, references = 3, size of lhs = 2:
% 16.83/17.03 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3) | member-{T}(V2,V3)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #28: input, references = 4, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3), member-{F}(V2,V1) | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #29: input, references = 4, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), #-{F} V1, member-{F}(V2,V3) | pppp4-{T}(V1,V2,V3), member-{T}(V2,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #30: input, references = 9, size of lhs = 4:
% 16.83/17.03 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), member-{F}(V1,V3), V1 == V2 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #31: input, references = 3, size of lhs = 2:
% 16.83/17.03 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | member-{T}(V2,V3)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #32: input, references = 5, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), member-{F}(V1,V4) | pppp5-{T}(V2,V3,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #33: input, references = 3, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), pppp5-{F}(V2,V3,V1) | member-{T}(V1,V4)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #34: input, references = 5, size of lhs = 4:
% 16.83/17.03 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V3), V3 == V1, V3 == V2 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #35: input, references = 3, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp5-{T}(V1,V2,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #36: input, references = 3, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp5-{T}(V1,V2,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #37: input, references = 3, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_sum-{F}(V2,V3), member-{F}(V1,V3) | pppp6-{T}(V2,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #38: input, references = 3, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_sum-{F}(V2,V3), pppp6-{F}(V2,V1) | member-{T}(V1,V3)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #39: input, references = 3, size of lhs = 2:
% 16.83/17.03 P_empty_set-{F}(V0), pppp6-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V1,V2,V3)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #40: input, references = 3, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), member-{F}(V3,V1), member-{F}(V2,V3) | pppp6-{T}(V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #41: input, references = 3, size of lhs = 1:
% 16.83/17.03 pppp9-{F}(V0,V1,V2) | member-{T}(V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #42: input, references = 3, size of lhs = 1:
% 16.83/17.03 pppp9-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #43: input, references = 3, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_product-{F}(V2,V3), member-{F}(V1,V3) | pppp7-{T}(V2,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #44: input, references = 7, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_product-{F}(V2,V3), pppp7-{F}(V2,V1) | member-{T}(V1,V3)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #45: input, references = 5, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), pppp7-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V2,V3)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #46: input, references = 7, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp7-{T}(V1,V2), pppp13-{T}(V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #47: input, references = 4, size of lhs = 1:
% 16.83/17.03 pppp13-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #48: input, references = 3, size of lhs = 2:
% 16.83/17.03 pppp10-{F}(V0,V1,V2), member-{F}(V1,V2) | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #49: input, references = 4, size of lhs = 1:
% 16.83/17.03 pppp10-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #50: input, references = 4, size of lhs = 1:
% 16.83/17.03 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #51: input, references = 4, size of lhs = 3:
% 16.83/17.03 pppp11-{F}(V0,V1), P_power_set-{F}(V1,V2), member-{F}(V0,V2) | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #52: input, references = 5, size of lhs = 1:
% 16.83/17.03 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #53: input, references = 3, size of lhs = 2:
% 16.83/17.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #54: input, references = 3, size of lhs = 2:
% 16.83/17.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #55: input, references = 4, size of lhs = 0:
% 16.83/17.03 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #56: input, references = 3, size of lhs = 2:
% 16.83/17.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #57: input, references = 3, size of lhs = 1:
% 16.83/17.03 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #58: input, references = 3, size of lhs = 2:
% 16.83/17.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #59: input, references = 3, size of lhs = 1:
% 16.83/17.03 #-{F} V0 | EXISTS V1: P_sum-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #60: input, references = 3, size of lhs = 1:
% 16.83/17.03 #-{F} V0 | EXISTS V1: P_product-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 number of initial rules = 61
% 16.83/17.03
% 16.83/17.03 Simplifiers:
% 16.83/17.03 #61: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #62: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #63: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #64: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #65: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #66: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #67: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #68: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 P_sum-{F}(V0,V1), P_sum-{F}(V0,V3), V1 == V3 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #69: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 P_product-{F}(V0,V1), P_product-{F}(V0,V3), V1 == V3 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #70: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #71: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #72: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #73: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #74: unsound, references = 3, size of lhs = 3:
% 16.83/17.03 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 number of simplifiers = 14
% 16.83/17.03
% 16.83/17.03 Learnt:
% 16.83/17.03 #89: disj( #3, #1+#13+#51 ), references = 3, size of lhs = 3:
% 16.83/17.03 P_power_set-{F}(V0,V1), P_power_set-{F}(V2,V1), pppp11-{F}(V3,V2) | pppp12-{T}(V3,V0)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #118: mergings( V0 == V3, V3 == V4; #115 ), references = 1, size of lhs = 5:
% 16.83/17.03 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V2,V3), #-{F} V4, V4 == V1 | pppp13-{T}(V3,V4)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #123: disj( #3, #1+#13+#24 ), references = 1, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_power_set-{F}(V1,V0), #-{F} V2 | pppp12-{T}(V2,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #167: mergings( V0 == V3, V3 == V4; #164 ), references = 1, size of lhs = 5:
% 16.83/17.03 P_empty_set-{F}(V0), P_product-{F}(V1,V2), P_singleton-{F}(V3,V2), #-{F} V4, V4 == V3 | pppp13-{T}(V1,V4)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #201: mergings( V0 == V3, V3 == V4, V4 == V2; #197 ), references = 1, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_product-{F}(V1,V2), pppp7-{F}(V2,V3) | pppp13-{T}(V1,V0)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #207: mergings( V2 == V3; #205 ), references = 1, size of lhs = 6:
% 16.83/17.03 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)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #250: exists( #4, #248 ), references = 2, size of lhs = 1:
% 16.83/17.03 pppp12-{F}(V0,V0) | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #257: exists( #52, #255 ), references = 1, size of lhs = 1:
% 16.83/17.03 pppp11-{F}(V0,V0) | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #299: disj( #3, #1+#13+#12+#0+#2+#30 ), references = 1, size of lhs = 5:
% 16.83/17.03 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_power_set-{F}(V2,V3), V3 == V1, P_power_set-{F}(V4,V3) | pppp12-{T}(V3,V4)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #306: disj( #3, #2+#24 ), references = 1, size of lhs = 2:
% 16.83/17.03 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp12-{T}(V2,V0)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #354: disj( #3, #1+#13+#30 ), references = 1, size of lhs = 5:
% 16.83/17.03 P_empty_set-{F}(V0), P_power_set-{F}(V1,V2), P_singleton-{F}(V3,V2), #-{F} V4, V4 == V3 | pppp12-{T}(V4,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #431: exists( #4, #429 ), references = 2, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp12-{F}(V2,V3) | pppp8-{T}(V2,V3,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #433: disj( #3, exists( #4, #248 ) ), references = 1, size of lhs = 1:
% 16.83/17.03 #-{F} V0 | pppp0-{T}(V0,V0)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #679: mergings( V3 == V4; #677 ), references = 1, size of lhs = 3:
% 16.83/17.03 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)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #847: mergings( V0 == V1; #844 ), references = 1, size of lhs = 2:
% 16.83/17.03 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp4-{T}(V0,V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #848: disj( #29, input ), references = 1, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), member-{F}(V1,V2), pppp8-{F}(V3,V4,V1) | pppp4-{T}(V4,V1,V2)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #987: exists( #4, #985 ), references = 2, size of lhs = 2:
% 16.83/17.03 P_empty_set-{F}(V0), pppp12-{F}(V0,V1) | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #1079: mergings( V0 == V3; #1076 ), references = 1, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_product-{F}(V1,V2), pppp8-{F}(V3,V2,V4) | pppp13-{T}(V1,V4)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #1082: mergings( V0 == V3, V3 == V4; #1077 ), references = 1, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_product-{F}(V1,V2), pppp4-{F}(V2,V3,V4) | pppp13-{T}(V1,V3)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #1241: disj( #3, exists( #4, #985 ) ), references = 1, size of lhs = 2:
% 16.83/17.03 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V0,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #1345: disj( #3, #431+#5 ), references = 1, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V1,V3) | pppp0-{T}(V2,V3)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #1666: exists( #47, #1662 ), references = 1, size of lhs = 3:
% 16.83/17.03 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp13-{F}(V2,V3) | pppp10-{T}(V2,V3,V1)
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #1761: exists( #52, #1759 ), references = 1, size of lhs = 2:
% 16.83/17.03 P_empty_set-{F}(V0), pppp11-{F}(V0,V1) | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #1763: exists( #50, #1760 ), references = 1, size of lhs = 1:
% 16.83/17.03 P_empty_set-{F}(V0) | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 #1765: exists( #55, #1762 ), references = 1, size of lhs = 0:
% 16.83/17.03 FALSE | FALSE
% 16.83/17.03 (used 0 times, uses = {})
% 16.83/17.03
% 16.83/17.03 number of learnt formulas = 25
% 16.83/17.03
% 16.83/17.03
% 16.83/17.03 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.83/17.03
% 16.83/17.03 randbase = 1
%------------------------------------------------------------------------------