%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET809+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:16:44 EDT 2022
% Result : Theorem 7.50s 7.72s
% Output : Refutation 7.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET809+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n010.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 02:24:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.50/7.72 GeoParameters:
% 7.50/7.72
% 7.50/7.72 tptp_input = 1
% 7.50/7.72 tptp_output = 0
% 7.50/7.72 nonempty = 1
% 7.50/7.72 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.50/7.72 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 7.50/7.72
% 7.50/7.72
% 7.50/7.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.50/7.72 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.50/7.72
% 7.50/7.72 RuleSystem INPUT:
% 7.50/7.72
% 7.50/7.72 Initial Rules:
% 7.50/7.72 #0: input, references = 3, size of lhs = 1:
% 7.50/7.72 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #1: input, references = 6, size of lhs = 1:
% 7.50/7.72 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #2: input, references = 4, size of lhs = 2:
% 7.50/7.72 pppp0-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #3: input, references = 7, size of lhs = 2:
% 7.50/7.72 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp27-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #4: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp27-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #5: input, references = 3, size of lhs = 2:
% 7.50/7.72 pppp13-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #6: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp13-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #7: input, references = 3, size of lhs = 1:
% 7.50/7.72 equal_set-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #8: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp1-{F}(V0,V1) | equal_set-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #9: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #10: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #11: input, references = 3, size of lhs = 2:
% 7.50/7.72 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #12: input, references = 3, size of lhs = 2:
% 7.50/7.72 P_power_set-{F}(V1,V2), member-{F}(V0,V2) | subset-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #13: input, references = 6, size of lhs = 2:
% 7.50/7.72 P_power_set-{F}(V1,V2), subset-{F}(V0,V1) | member-{T}(V0,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #14: input, references = 3, size of lhs = 2:
% 7.50/7.72 P_intersection-{F}(V1,V2,V3), member-{F}(V0,V3) | pppp2-{T}(V1,V2,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #15: input, references = 3, size of lhs = 2:
% 7.50/7.72 P_intersection-{F}(V1,V2,V3), pppp2-{F}(V1,V2,V0) | member-{T}(V0,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #16: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp2-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #17: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp2-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #18: input, references = 3, size of lhs = 2:
% 7.50/7.72 member-{F}(V2,V0), member-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #19: input, references = 3, size of lhs = 2:
% 7.50/7.72 P_union-{F}(V1,V2,V3), member-{F}(V0,V3) | pppp3-{T}(V1,V2,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #20: input, references = 5, size of lhs = 2:
% 7.50/7.72 P_union-{F}(V1,V2,V3), pppp3-{F}(V1,V2,V0) | member-{T}(V0,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #21: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp3-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #22: input, references = 3, size of lhs = 2:
% 7.50/7.72 #-{F} V1, member-{F}(V2,V0) | pppp3-{T}(V0,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #23: input, references = 3, size of lhs = 2:
% 7.50/7.72 #-{F} V0, member-{F}(V2,V1) | pppp3-{T}(V0,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #24: input, references = 6, size of lhs = 2:
% 7.50/7.72 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #25: input, references = 3, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_difference-{F}(V3,V2,V4), member-{F}(V1,V4) | pppp4-{T}(V2,V1,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #26: input, references = 3, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_difference-{F}(V3,V2,V4), pppp4-{F}(V2,V1,V3) | member-{T}(V1,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #27: input, references = 3, size of lhs = 2:
% 7.50/7.72 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3) | member-{T}(V2,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #28: input, references = 3, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3), member-{F}(V2,V1) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #29: input, references = 3, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), #-{F} V1, member-{F}(V2,V3) | pppp4-{T}(V1,V2,V3), member-{T}(V2,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #30: input, references = 7, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), member-{F}(V1,V3), V1 == V2 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #31: input, references = 3, size of lhs = 2:
% 7.50/7.72 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | member-{T}(V2,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #32: input, references = 4, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), member-{F}(V1,V4) | pppp5-{T}(V2,V3,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #33: input, references = 3, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), pppp5-{F}(V2,V3,V1) | member-{T}(V1,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #34: input, references = 4, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V3), V3 == V1, V3 == V2 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #35: input, references = 3, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp5-{T}(V1,V2,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #36: input, references = 3, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp5-{T}(V1,V2,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #37: input, references = 3, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_sum-{F}(V2,V3), member-{F}(V1,V3) | pppp6-{T}(V2,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #38: input, references = 3, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_sum-{F}(V2,V3), pppp6-{F}(V2,V1) | member-{T}(V1,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #39: input, references = 3, size of lhs = 2:
% 7.50/7.72 P_empty_set-{F}(V0), pppp6-{F}(V1,V2) | EXISTS V3: pppp14-{T}(V1,V2,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #40: input, references = 3, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), member-{F}(V3,V1), member-{F}(V2,V3) | pppp6-{T}(V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #41: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp14-{F}(V0,V1,V2) | member-{T}(V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #42: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp14-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #43: input, references = 4, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_product-{F}(V2,V3), member-{F}(V1,V3) | pppp7-{T}(V2,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #44: input, references = 6, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_product-{F}(V2,V3), pppp7-{F}(V2,V1) | member-{T}(V1,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #45: input, references = 5, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), pppp7-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V2,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #46: input, references = 7, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp7-{T}(V1,V2), pppp28-{T}(V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #47: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp28-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #48: input, references = 3, size of lhs = 2:
% 7.50/7.72 pppp15-{F}(V0,V1,V2), member-{F}(V1,V2) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #49: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp15-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #50: input, references = 7, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), member-{F}(V2,V1) | pppp8-{T}(V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #51: input, references = 3, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), pppp8-{F}(V2) | member-{T}(V2,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #52: input, references = 3, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp8-{F}(V3) | set-{T}(V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #53: input, references = 7, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp8-{F}(V3) | strict_well_order-{T}(V2,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #54: input, references = 3, size of lhs = 5:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp8-{F}(V3), member-{F}(V4,V3) | subset-{T}(V4,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #55: input, references = 3, size of lhs = 5:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), set-{F}(V3), strict_well_order-{F}(V2,V3) | pppp8-{T}(V3), pppp29-{T}(V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #56: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp29-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #57: input, references = 3, size of lhs = 2:
% 7.50/7.72 pppp16-{F}(V0,V1), subset-{F}(V1,V0) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #58: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp16-{F}(V0,V1) | member-{T}(V1,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #59: input, references = 7, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), strict_well_order-{F}(V3,V4) | pppp9-{T}(V4,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #60: input, references = 3, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp9-{F}(V4,V3) | strict_well_order-{T}(V3,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #61: input, references = 7, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp9-{F}(V3,V4) | strict_order-{T}(V4,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #62: input, references = 3, size of lhs = 6:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp9-{F}(V3,V4), subset-{F}(V5,V3), member-{F}(V6,V5) | EXISTS V7: pppp17-{T}(V5,V4,V7)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #63: input, references = 3, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), strict_order-{F}(V4,V3) | pppp9-{T}(V3,V4), pppp30-{T}(V3,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #64: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp30-{F}(V0,V1) | EXISTS V2: pppp19-{T}(V2,V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #65: input, references = 3, size of lhs = 2:
% 7.50/7.72 pppp19-{F}(V0,V1,V2), least-{F}(V3,V2,V0) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #66: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp19-{F}(V0,V1,V2) | EXISTS V3: pppp18-{T}(V0,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #67: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp19-{F}(V0,V1,V2) | subset-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #68: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp18-{F}(V0,V1) | member-{T}(V1,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #69: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp17-{F}(V0,V1,V2) | least-{T}(V2,V1,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #70: input, references = 3, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), least-{F}(V5,V3,V4) | pppp10-{T}(V4,V3,V5)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #71: input, references = 3, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp10-{F}(V4,V3,V5) | least-{T}(V5,V3,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #72: input, references = 3, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp10-{F}(V3,V4,V5) | member-{T}(V5,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #73: input, references = 3, size of lhs = 6:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp10-{F}(V3,V4,V5), member-{F}(V6,V3), V5 == V6 | apply-{T}(V4,V5,V6)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #74: input, references = 3, size of lhs = 5:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), #-{F} V4, member-{F}(V5,V3) | pppp10-{T}(V3,V4,V5), pppp31-{T}(V3,V4,V5)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #75: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp31-{F}(V0,V1,V2) | EXISTS V3: pppp20-{T}(V3,V0,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #76: input, references = 3, size of lhs = 2:
% 7.50/7.72 pppp20-{F}(V0,V1,V2,V3), apply-{F}(V2,V3,V0) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #77: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp20-{F}(V0,V1,V2,V0) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #78: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp20-{F}(V0,V1,V2,V3) | member-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #79: input, references = 3, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), apply-{F}(V2,V3,V4) | member-{T}(V3,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #80: input, references = 4, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), member-{F}(V3,V4) | apply-{T}(V2,V3,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #81: input, references = 7, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), strict_order-{F}(V3,V4) | pppp11-{T}(V4,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #82: input, references = 3, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp11-{F}(V4,V3) | strict_order-{T}(V3,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #83: input, references = 7, size of lhs = 8:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp11-{F}(V3,V4), member-{F}(V5,V3), member-{F}(V6,V3), apply-{F}(V4,V6,V5), apply-{F}(V4,V5,V6) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #84: input, references = 3, size of lhs = 9:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp11-{F}(V3,V4), member-{F}(V5,V3), member-{F}(V6,V3), apply-{F}(V4,V6,V5), member-{F}(V7,V3), apply-{F}(V4,V7,V6) | apply-{T}(V4,V7,V5)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #85: input, references = 3, size of lhs = 5:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), #-{F} V3, #-{F} V4 | pppp11-{T}(V3,V4), pppp32-{T}(V3,V4), pppp33-{T}(V3,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #86: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp32-{F}(V0,V1) | EXISTS V2: pppp22-{T}(V0,V2,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #87: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp33-{F}(V0,V1) | EXISTS V2: pppp25-{T}(V0,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #88: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp25-{F}(V0,V1,V2) | EXISTS V3: pppp24-{T}(V0,V3,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #89: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp25-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #90: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp24-{F}(V0,V1,V2,V3) | EXISTS V4: pppp23-{T}(V4,V0,V1,V2,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #91: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp24-{F}(V0,V1,V2,V3) | apply-{T}(V2,V1,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #92: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp24-{F}(V0,V1,V2,V3) | member-{T}(V1,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #93: input, references = 3, size of lhs = 2:
% 7.50/7.72 pppp23-{F}(V0,V1,V2,V3,V4), apply-{F}(V3,V0,V4) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #94: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp23-{F}(V0,V1,V2,V3,V4) | apply-{T}(V3,V0,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #95: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp23-{F}(V0,V1,V2,V3,V4) | member-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #96: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp22-{F}(V0,V1,V2) | EXISTS V3: pppp21-{T}(V3,V0,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #97: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp22-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #98: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp21-{F}(V0,V1,V2,V3) | apply-{T}(V3,V2,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #99: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp21-{F}(V0,V1,V2,V3) | apply-{T}(V3,V0,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #100: input, references = 3, size of lhs = 1:
% 7.50/7.72 pppp21-{F}(V0,V1,V2,V3) | member-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #101: input, references = 3, size of lhs = 5:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), set-{F}(V3), member-{F}(V4,V3) | set-{T}(V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #102: input, references = 3, size of lhs = 5:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), P_initial_segment-{F}(V3,V4,V5,V7), member-{F}(V6,V7) | pppp12-{T}(V5,V3,V6,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #103: input, references = 3, size of lhs = 5:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), P_initial_segment-{F}(V3,V4,V5,V7), pppp12-{F}(V5,V3,V6,V4) | member-{T}(V6,V7)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #104: input, references = 3, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp12-{F}(V3,V4,V5,V6) | member-{T}(V5,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #105: input, references = 3, size of lhs = 4:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), pppp12-{F}(V3,V4,V5,V6) | apply-{T}(V6,V5,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #106: input, references = 3, size of lhs = 5:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), member-{F}(V5,V3), apply-{F}(V6,V5,V4) | pppp12-{T}(V3,V4,V5,V6)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #107: input, references = 3, size of lhs = 7:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), P_suc-{F}(V3,V5), P_singleton-{F}(V3,V6), P_union-{F}(V3,V6,V7), member-{F}(V4,V5) | member-{T}(V4,V7)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #108: input, references = 5, size of lhs = 7:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), P_suc-{F}(V3,V5), P_singleton-{F}(V3,V6), P_union-{F}(V3,V6,V7), member-{F}(V4,V7) | member-{T}(V4,V5)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #109: input, references = 5, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2) | EXISTS V3: pppp26-{T}(V3,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #110: input, references = 4, size of lhs = 1:
% 7.50/7.72 pppp26-{F}(V0,V1) | member-{T}(V0,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #111: input, references = 5, size of lhs = 1:
% 7.50/7.72 pppp26-{F}(V0,V1) | member-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #112: input, references = 3, size of lhs = 1:
% 7.50/7.72 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #113: input, references = 3, size of lhs = 2:
% 7.50/7.72 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #114: input, references = 5, size of lhs = 2:
% 7.50/7.72 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #115: input, references = 4, size of lhs = 0:
% 7.50/7.72 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #116: input, references = 3, size of lhs = 2:
% 7.50/7.72 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #117: input, references = 3, size of lhs = 1:
% 7.50/7.72 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #118: input, references = 3, size of lhs = 2:
% 7.50/7.72 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #119: input, references = 3, size of lhs = 1:
% 7.50/7.72 #-{F} V0 | EXISTS V1: P_sum-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #120: input, references = 3, size of lhs = 1:
% 7.50/7.72 #-{F} V0 | EXISTS V1: P_product-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #121: input, references = 4, size of lhs = 0:
% 7.50/7.72 FALSE | EXISTS V0: P_on-{T}(V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #122: input, references = 5, size of lhs = 0:
% 7.50/7.72 FALSE | EXISTS V0: P_member_predicate-{T}(V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #123: input, references = 3, size of lhs = 3:
% 7.50/7.72 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_initial_segment-{T}(V0,V1,V2,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #124: input, references = 3, size of lhs = 1:
% 7.50/7.72 #-{F} V0 | EXISTS V1: P_suc-{T}(V0,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 number of initial rules = 125
% 7.50/7.72
% 7.50/7.72 Simplifiers:
% 7.50/7.72 #125: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #126: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #127: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #128: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #129: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #130: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #131: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #132: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_sum-{F}(V0,V1), P_sum-{F}(V0,V3), V1 == V3 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #133: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_product-{F}(V0,V1), P_product-{F}(V0,V3), V1 == V3 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #134: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_on-{F}(V0), P_on-{F}(V1), V0 == V1 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #135: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_member_predicate-{F}(V0), P_member_predicate-{F}(V1), V0 == V1 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #136: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_initial_segment-{F}(V0,V1,V2,V3), P_initial_segment-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #137: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 P_suc-{F}(V0,V1), P_suc-{F}(V0,V3), V1 == V3 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #138: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #139: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #140: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #141: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #142: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #143: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #144: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp19-{F}(V0,V1,V2), pppp19-{F}(V3,V1,V2), V0 == V3 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #145: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #146: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #147: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V4,V1,V6,V3), V2 == V6 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #148: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp22-{F}(V0,V1,V2), pppp22-{F}(V0,V4,V2), V1 == V4 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #149: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp23-{F}(V0,V1,V2,V3,V4), pppp23-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #150: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp23-{F}(V0,V1,V2,V3,V4), pppp23-{F}(V5,V1,V7,V3,V4), V2 == V7 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #151: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp23-{F}(V0,V1,V2,V3,V4), pppp23-{F}(V5,V1,V7,V3,V9), V4 == V9 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #152: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #153: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V0,V5,V2,V7), V3 == V7 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #154: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp25-{F}(V0,V1,V2), pppp25-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #155: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp26-{F}(V0,V1), pppp26-{F}(V2,V1), V0 == V2 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #156: unsound, references = 3, size of lhs = 3:
% 7.50/7.72 pppp26-{F}(V0,V1), pppp26-{F}(V2,V3), V1 == V3 | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 number of simplifiers = 32
% 7.50/7.72
% 7.50/7.72 Learnt:
% 7.50/7.72 #162: disj( #3, #2+#24 ), references = 1, size of lhs = 2:
% 7.50/7.72 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp27-{T}(V2,V0)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #177: disj( #3, #1+#13+#30 ), references = 1, size of lhs = 5:
% 7.50/7.72 P_empty_set-{F}(V0), P_power_set-{F}(V1,V2), P_singleton-{F}(V3,V2), #-{F} V4, V4 == V3 | pppp27-{T}(V4,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #183: mergings( V3 == V6; #181 ), references = 1, size of lhs = 6:
% 7.50/7.72 P_on-{F}(V0), P_member_predicate-{F}(V1), P_empty_set-{F}(V2), P_suc-{F}(V3,V2), P_singleton-{F}(V3,V4), pppp3-{F}(V3,V4,V5) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #212: mergings( V0 == V1; #210 ), references = 1, size of lhs = 3:
% 7.50/7.72 P_on-{F}(V0), P_empty_set-{F}(V0), P_member_predicate-{F}(V1) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #215: mergings( V1 == V2; #213 ), references = 1, size of lhs = 2:
% 7.50/7.72 P_on-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #262: mergings( V3 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V4 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V5 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22; #244 ), references = 1, size of lhs = 10:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_suc-{F}(V2,V1), P_singleton-{F}(V2,V3), P_member_predicate-{F}(V4), pppp3-{F}(V2,V3,V5), member-{F}(V6,V5), apply-{F}(V4,V6,V7), member-{F}(V7,V5), apply-{F}(V4,V7,V6) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #285: mergings( V2 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V6 == V9, V9 == V12, V12 == V15, V15 == V18; #270 ), references = 1, size of lhs = 8:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2), P_power_set-{F}(V3,V1), member-{F}(V4,V5), apply-{F}(V2,V4,V6), member-{F}(V6,V5), apply-{F}(V2,V6,V4) | pppp27-{T}(V5,V3)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #311: mergings( V2 == V3, V3 == V4; #308 ), references = 1, size of lhs = 7:
% 7.50/7.72 P_empty_set-{F}(V0), P_power_set-{F}(V1,V2), P_product-{F}(V3,V2), member-{F}(V4,V3), P_singleton-{F}(V5,V4), #-{F} V6, V6 == V5 | pppp27-{T}(V6,V1)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #363: mergings( V0 == V3, V3 == V4; #360 ), references = 1, size of lhs = 5:
% 7.50/7.72 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), member-{F}(V2,V3), #-{F} V4, V4 == V1 | pppp28-{T}(V3,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #409: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V5 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V8 == V11, V11 == V14, V14 == V17, V17 == V20; #392 ), references = 1, size of lhs = 8:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_product-{F}(V2,V1), P_member_predicate-{F}(V3), member-{F}(V4,V5), apply-{F}(V3,V4,V6), member-{F}(V6,V5), apply-{F}(V3,V6,V4) | pppp28-{T}(V2,V5)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #463: mergings( V0 == V3, V3 == V4; #460 ), references = 1, size of lhs = 5:
% 7.50/7.72 P_empty_set-{F}(V0), P_product-{F}(V1,V2), P_singleton-{F}(V3,V2), #-{F} V4, V4 == V3 | pppp28-{T}(V1,V4)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #652: mergings( V0 == V3, V3 == V4, V4 == V5; #648 ), references = 1, size of lhs = 6:
% 7.50/7.72 P_empty_set-{F}(V0), P_product-{F}(V1,V2), P_unordered_pair-{F}(V3,V4,V2), #-{F} V5, V5 == V3, V5 == V4 | pppp28-{T}(V1,V5)
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #775: mergings( V0 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V1 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V2 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21; #756 ), references = 1, size of lhs = 3:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1), P_member_predicate-{F}(V2) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #790: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #776 ), references = 1, size of lhs = 2:
% 7.50/7.72 P_empty_set-{F}(V0), P_on-{F}(V1) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #799: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #791 ), references = 1, size of lhs = 1:
% 7.50/7.72 P_empty_set-{F}(V0) | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 #801: exists( #115, #791 ), references = 1, size of lhs = 0:
% 7.50/7.72 FALSE | FALSE
% 7.50/7.72 (used 0 times, uses = {})
% 7.50/7.72
% 7.50/7.72 number of learnt formulas = 16
% 7.50/7.72
% 7.50/7.72
% 7.50/7.72 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.50/7.72
% 7.50/7.72 randbase = 1
%------------------------------------------------------------------------------