%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU326+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:17:49 EDT 2022
% Result : Theorem 0.48s 0.66s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU326+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 : Fri Jul 22 19:08:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.48/0.66 GeoParameters:
% 0.48/0.66
% 0.48/0.66 tptp_input = 1
% 0.48/0.66 tptp_output = 0
% 0.48/0.66 nonempty = 1
% 0.48/0.66 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.66 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.48/0.66
% 0.48/0.66
% 0.48/0.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.66
% 0.48/0.66 RuleSystem INPUT:
% 0.48/0.66
% 0.48/0.66 Initial Rules:
% 0.48/0.66 #0: input, references = 3, size of lhs = 2:
% 0.48/0.66 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #1: input, references = 3, size of lhs = 2:
% 0.48/0.66 v1_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #2: input, references = 3, size of lhs = 2:
% 0.48/0.66 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #3: input, references = 3, size of lhs = 2:
% 0.48/0.66 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #4: input, references = 3, size of lhs = 2:
% 0.48/0.66 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #5: input, references = 3, size of lhs = 2:
% 0.48/0.66 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #6: input, references = 3, size of lhs = 2:
% 0.48/0.66 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #7: input, references = 3, size of lhs = 2:
% 0.48/0.66 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #8: input, references = 3, size of lhs = 2:
% 0.48/0.66 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #9: input, references = 3, size of lhs = 2:
% 0.48/0.66 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_int_1-{T}(V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #10: input, references = 3, size of lhs = 2:
% 0.48/0.66 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #11: input, references = 3, size of lhs = 2:
% 0.48/0.66 v5_membered-{F}(V0), element-{F}(V1,V0) | pppp0-{T}(V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #12: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp0-{F}(V0) | v1_rat_1-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #13: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp0-{F}(V0) | v1_int_1-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #14: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp0-{F}(V0) | v1_xreal_0-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #15: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp0-{F}(V0) | natural-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #16: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp0-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #17: input, references = 3, size of lhs = 1:
% 0.48/0.66 empty-{F}(V0) | pppp1-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #18: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp1-{F}(V0) | v5_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #19: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp1-{F}(V0) | v4_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #20: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp1-{F}(V0) | v3_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #21: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp1-{F}(V0) | v2_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #22: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp1-{F}(V0) | v1_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #23: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_powerset-{F}(V0,V1), v1_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #24: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #25: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #26: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #27: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #28: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #29: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #30: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #31: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #32: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v4_membered-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #33: input, references = 3, size of lhs = 1:
% 0.48/0.66 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #34: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_powerset-{F}(V0,V1), v5_membered-{F}(V0), element-{F}(V2,V1) | pppp2-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #35: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp2-{F}(V0) | v5_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #36: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp2-{F}(V0) | v4_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #37: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp2-{F}(V0) | v3_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #38: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp2-{F}(V0) | v2_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #39: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp2-{F}(V0) | v1_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #40: input, references = 3, size of lhs = 1:
% 0.48/0.66 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #41: input, references = 3, size of lhs = 1:
% 0.48/0.66 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #42: input, references = 3, size of lhs = 1:
% 0.48/0.66 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #43: input, references = 4, size of lhs = 4:
% 0.48/0.66 P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_complements_of_subsets-{F}(V0,V1,V4), element-{F}(V1,V3) | element-{T}(V4,V3)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #44: input, references = 3, size of lhs = 1:
% 0.48/0.66 #-{F} V0 | EXISTS V1: pppp3-{T}(V0,V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #45: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp3-{F}(V0,V1) | element-{T}(V1,V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #46: input, references = 3, size of lhs = 2:
% 0.48/0.66 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #47: input, references = 3, size of lhs = 1:
% 0.48/0.66 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #48: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp4-{F}(V0) | v5_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #49: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp4-{F}(V0) | v4_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #50: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp4-{F}(V0) | v3_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #51: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp4-{F}(V0) | v2_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #52: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp4-{F}(V0) | v1_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #53: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp4-{F}(V0) | empty-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #54: input, references = 5, size of lhs = 7:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), P_complements_of_subsets-{F}(V1,V2,V5), P_complements_of_subsets-{F}(V1,V5,V6), element-{F}(V2,V4), V6 == V2 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #55: input, references = 3, size of lhs = 1:
% 0.48/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #56: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp6-{F}(V0) | pppp5-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #57: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp5-{F}(V0) | v5_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #58: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp5-{F}(V0) | v4_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #59: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp5-{F}(V0) | v3_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #60: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp5-{F}(V0) | v2_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #61: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp5-{F}(V0) | v1_membered-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #62: input, references = 3, size of lhs = 2:
% 0.48/0.66 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #63: input, references = 4, size of lhs = 2:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp12-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #64: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp12-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #65: input, references = 3, size of lhs = 2:
% 0.48/0.66 pppp7-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #66: input, references = 3, size of lhs = 1:
% 0.48/0.66 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #67: input, references = 4, size of lhs = 2:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V3,V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #68: input, references = 4, size of lhs = 1:
% 0.48/0.66 pppp8-{F}(V0,V1) | empty-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #69: input, references = 5, size of lhs = 1:
% 0.48/0.66 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #70: input, references = 3, size of lhs = 2:
% 0.48/0.66 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #71: input, references = 4, size of lhs = 1:
% 0.48/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #72: input, references = 4, size of lhs = 1:
% 0.48/0.66 pppp11-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V1,V0,V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #73: input, references = 6, size of lhs = 4:
% 0.48/0.66 pppp10-{F}(V0,V1,V2), P_powerset-{F}(V0,V3), P_powerset-{F}(V3,V4), P_complements_of_subsets-{F}(V0,V2,V5) | pppp9-{T}(V2,V1,V4,V5)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #74: input, references = 4, size of lhs = 3:
% 0.48/0.66 pppp9-{F}(V0,V1,V2,V3), V3 == V1, V0 == V1 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #75: input, references = 4, size of lhs = 1:
% 0.48/0.66 pppp9-{F}(V1,V1,V2,V1) | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #76: input, references = 4, size of lhs = 1:
% 0.48/0.66 pppp9-{F}(V0,V1,V2,V3) | element-{T}(V0,V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #77: input, references = 3, size of lhs = 2:
% 0.48/0.66 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #78: input, references = 4, size of lhs = 2:
% 0.48/0.66 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #79: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #80: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #81: input, references = 5, size of lhs = 6:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), P_complements_of_subsets-{F}(V2,V1,V0), element-{F}(V1,V4), V1 == V0 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #82: input, references = 3, size of lhs = 4:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #83: input, references = 3, size of lhs = 5:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #84: input, references = 4, size of lhs = 3:
% 0.48/0.66 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #85: input, references = 3, size of lhs = 3:
% 0.48/0.66 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #86: input, references = 3, size of lhs = 4:
% 0.48/0.66 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #87: input, references = 6, size of lhs = 1:
% 0.48/0.66 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #88: input, references = 7, size of lhs = 2:
% 0.48/0.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_complements_of_subsets-{T}(V0,V1,V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #89: input, references = 4, size of lhs = 0:
% 0.48/0.66 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 number of initial rules = 90
% 0.48/0.66
% 0.48/0.66 Simplifiers:
% 0.48/0.66 #90: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #91: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 P_complements_of_subsets-{F}(V0,V1,V2), P_complements_of_subsets-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #92: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #93: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #94: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #95: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #96: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #97: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #98: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #99: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #100: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #101: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V1,V5), V0 == V3 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #102: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #103: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #104: unsound, references = 3, size of lhs = 3:
% 0.48/0.66 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 number of simplifiers = 15
% 0.48/0.66
% 0.48/0.66 Learnt:
% 0.48/0.66 #109: mergings( V0 == V3; #105 ), references = 1, size of lhs = 3:
% 0.48/0.66 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #112: mergings( V0 == V3, V2 == V3; #106 ), references = 1, size of lhs = 4:
% 0.48/0.66 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #114: mergings( V2 == V0; #107 ), references = 1, size of lhs = 3:
% 0.48/0.66 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #124: mergings( V0 == V3; #120 ), references = 1, size of lhs = 3:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp12-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #127: mergings( V0 == V3, V1 == V3; #121 ), references = 1, size of lhs = 4:
% 0.48/0.66 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp12-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #130: mergings( V0 == V3, V1 == V3; #122 ), references = 1, size of lhs = 3:
% 0.48/0.66 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp12-{T}(V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #139: mergings( V0 == V4; #137 ), references = 3, size of lhs = 2:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V0,V2)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #160: exists( #88, #158 ), references = 1, size of lhs = 4:
% 0.48/0.66 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp10-{F}(V0,V3,V4), V4 == V3 | P_complements_of_subsets-{T}(V0,V4,V3)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #172: mergings( V3 == V5, V4 == V6, V5 == V7; #167 ), references = 1, size of lhs = 4:
% 0.48/0.66 P_empty_set-{F}(V0), pppp11-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp10-{T}(V1,V0,V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #176: exists( #87, #174 ), references = 2, size of lhs = 4:
% 0.48/0.66 P_empty_set-{F}(V0), pppp11-{F}(V0,V1), P_complements_of_subsets-{F}(V1,V0,V0), P_powerset-{F}(V1,V2) | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #182: exists( #88, #54 ), references = 2, size of lhs = 5:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), P_complements_of_subsets-{F}(V1,V4,V5) | P_complements_of_subsets-{T}(V1,V5,V4)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #191: mergings( V5 == V6, V4 == V7, V6 == V8, V3 == V1; #186 ), references = 3, size of lhs = 4:
% 0.48/0.66 P_empty_set-{F}(V0), element-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V2) | P_complements_of_subsets-{T}(V3,V0,V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #209: mergings( V0 == V4; #206 ), references = 2, size of lhs = 3:
% 0.48/0.66 P_empty_set-{F}(V0), pppp11-{F}(V0,V1), P_powerset-{F}(V1,V2) | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #211: mergings( V2 == V3; #207 ), references = 2, size of lhs = 4:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_complements_of_subsets-{F}(V1,V0,V3), V3 == V0 | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #213: exists( #88, #211 ), references = 1, size of lhs = 2:
% 0.48/0.66 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | P_complements_of_subsets-{T}(V1,V0,V0)
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #216: exists( #87, #209 ), references = 1, size of lhs = 2:
% 0.48/0.66 P_empty_set-{F}(V0), pppp11-{F}(V0,V1) | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #218: exists( #71, #215 ), references = 1, size of lhs = 1:
% 0.48/0.66 P_empty_set-{F}(V0) | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 #220: exists( #89, #217 ), references = 1, size of lhs = 0:
% 0.48/0.66 FALSE | FALSE
% 0.48/0.66 (used 0 times, uses = {})
% 0.48/0.66
% 0.48/0.66 number of learnt formulas = 18
% 0.48/0.66
% 0.48/0.66
% 0.48/0.66 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.66
% 0.48/0.66 randbase = 1
%------------------------------------------------------------------------------