%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU354+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:17:53 EDT 2022
% Result : Theorem 0.37s 0.60s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU354+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 18:50:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.37/0.60 GeoParameters:
% 0.37/0.60
% 0.37/0.60 tptp_input = 1
% 0.37/0.60 tptp_output = 0
% 0.37/0.60 nonempty = 1
% 0.37/0.60 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.60 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.37/0.60
% 0.37/0.60
% 0.37/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.60 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.60
% 0.37/0.60 RuleSystem INPUT:
% 0.37/0.60
% 0.37/0.60 Initial Rules:
% 0.37/0.60 #0: input, references = 3, size of lhs = 2:
% 0.37/0.60 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #1: input, references = 3, size of lhs = 2:
% 0.37/0.60 v1_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #2: input, references = 3, size of lhs = 2:
% 0.37/0.60 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #3: input, references = 3, size of lhs = 2:
% 0.37/0.60 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #4: input, references = 3, size of lhs = 2:
% 0.37/0.60 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #5: input, references = 3, size of lhs = 2:
% 0.37/0.60 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #6: input, references = 3, size of lhs = 2:
% 0.37/0.60 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #7: input, references = 3, size of lhs = 2:
% 0.37/0.60 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #8: input, references = 3, size of lhs = 2:
% 0.37/0.60 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #9: input, references = 3, size of lhs = 2:
% 0.37/0.60 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_int_1-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #10: input, references = 3, size of lhs = 2:
% 0.37/0.60 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #11: input, references = 3, size of lhs = 2:
% 0.37/0.60 v5_membered-{F}(V0), element-{F}(V1,V0) | pppp0-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #12: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp0-{F}(V0) | v1_rat_1-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #13: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp0-{F}(V0) | v1_int_1-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #14: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp0-{F}(V0) | v1_xreal_0-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #15: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp0-{F}(V0) | natural-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #16: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp0-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #17: input, references = 3, size of lhs = 1:
% 0.37/0.60 empty-{F}(V0) | pppp1-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #18: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp1-{F}(V0) | v5_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #19: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp1-{F}(V0) | v4_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #20: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp1-{F}(V0) | v3_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #21: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp1-{F}(V0) | v2_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #22: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp1-{F}(V0) | v1_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #23: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_powerset-{F}(V0,V1), v1_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #24: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #25: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #26: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #27: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #28: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #29: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #30: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #31: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #32: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v4_membered-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #33: input, references = 3, size of lhs = 1:
% 0.37/0.60 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #34: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_powerset-{F}(V0,V1), v5_membered-{F}(V0), element-{F}(V2,V1) | pppp2-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #35: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp2-{F}(V0) | v5_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #36: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp2-{F}(V0) | v4_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #37: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp2-{F}(V0) | v3_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #38: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp2-{F}(V0) | v2_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #39: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp2-{F}(V0) | v1_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #40: input, references = 3, size of lhs = 1:
% 0.37/0.60 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #41: input, references = 3, size of lhs = 1:
% 0.37/0.60 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #42: input, references = 3, size of lhs = 1:
% 0.37/0.60 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #43: input, references = 5, size of lhs = 3:
% 0.37/0.60 P_union-{F}(V0,V2), element-{F}(V2,V0), proper_element-{F}(V2,V0) | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #44: input, references = 4, size of lhs = 3:
% 0.37/0.60 P_union-{F}(V0,V2), element-{F}(V1,V0), V1 == V2 | proper_element-{T}(V1,V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #45: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_k1_pcomps_1-{F}(V0,V1), P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3) | element-{T}(V1,V3)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #46: input, references = 3, size of lhs = 4:
% 0.37/0.60 P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_union_of_subsets-{F}(V0,V1,V4), element-{F}(V1,V3) | element-{T}(V4,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #47: input, references = 3, size of lhs = 1:
% 0.37/0.60 #-{F} V0 | EXISTS V1: pppp3-{T}(V0,V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #48: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp3-{F}(V0,V1) | element-{T}(V1,V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #49: input, references = 3, size of lhs = 2:
% 0.37/0.60 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #50: input, references = 3, size of lhs = 1:
% 0.37/0.60 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #51: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp4-{F}(V0) | v5_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #52: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp4-{F}(V0) | v4_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #53: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp4-{F}(V0) | v3_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #54: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp4-{F}(V0) | v2_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #55: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp4-{F}(V0) | v1_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #56: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp4-{F}(V0) | empty-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #57: input, references = 3, size of lhs = 1:
% 0.37/0.60 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #58: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp6-{F}(V0) | pppp5-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #59: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp5-{F}(V0) | v5_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #60: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp5-{F}(V0) | v4_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #61: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp5-{F}(V0) | v3_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #62: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp5-{F}(V0) | v2_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #63: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp5-{F}(V0) | v1_membered-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #64: input, references = 3, size of lhs = 2:
% 0.37/0.60 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #65: input, references = 4, size of lhs = 2:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp13-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #66: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp13-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #67: input, references = 3, size of lhs = 2:
% 0.37/0.60 pppp7-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #68: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #69: input, references = 4, size of lhs = 2:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V3,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #70: input, references = 4, size of lhs = 1:
% 0.37/0.60 pppp8-{F}(V0,V1) | empty-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #71: input, references = 4, size of lhs = 1:
% 0.37/0.60 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #72: input, references = 3, size of lhs = 2:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V3,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #73: input, references = 3, size of lhs = 2:
% 0.37/0.60 pppp9-{F}(V0,V1), proper_element-{F}(V0,V1) | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #74: input, references = 3, size of lhs = 1:
% 0.37/0.60 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #75: input, references = 4, size of lhs = 4:
% 0.37/0.60 P_empty_set-{F}(V0), P_k1_pcomps_1-{F}(V1,V2), P_powerset-{F}(V1,V3), V2 == V3 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #76: input, references = 5, size of lhs = 7:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), P_union_of_subsets-{F}(V1,V2,V5), P_union-{F}(V2,V6), element-{F}(V2,V4), V5 == V6 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #77: input, references = 4, size of lhs = 2:
% 0.37/0.60 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #78: input, references = 3, size of lhs = 2:
% 0.37/0.60 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #79: input, references = 4, size of lhs = 2:
% 0.37/0.60 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #80: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #81: input, references = 4, size of lhs = 3:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #82: input, references = 3, size of lhs = 4:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #83: input, references = 3, size of lhs = 5:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #84: input, references = 4, size of lhs = 1:
% 0.37/0.60 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #85: input, references = 4, size of lhs = 1:
% 0.37/0.60 pppp12-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #86: input, references = 6, size of lhs = 2:
% 0.37/0.60 pppp11-{F}(V0,V1), P_powerset-{F}(V0,V2) | pppp10-{T}(V0,V1,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #87: input, references = 4, size of lhs = 3:
% 0.37/0.60 pppp10-{F}(V0,V1,V2), proper_element-{F}(V1,V2), V1 == V0 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #88: input, references = 5, size of lhs = 1:
% 0.37/0.60 pppp10-{F}(V0,V0,V2) | proper_element-{T}(V0,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #89: input, references = 4, size of lhs = 1:
% 0.37/0.60 pppp10-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #90: input, references = 4, size of lhs = 3:
% 0.37/0.60 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #91: input, references = 3, size of lhs = 3:
% 0.37/0.60 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #92: input, references = 3, size of lhs = 4:
% 0.37/0.60 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #93: input, references = 4, size of lhs = 4:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_union-{F}(V2,V3), V3 == V1 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #94: input, references = 5, size of lhs = 1:
% 0.37/0.60 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #95: input, references = 4, size of lhs = 1:
% 0.37/0.60 #-{F} V0 | EXISTS V1: P_union-{T}(V0,V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #96: input, references = 4, size of lhs = 1:
% 0.37/0.60 #-{F} V0 | EXISTS V1: P_k1_pcomps_1-{T}(V0,V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #97: input, references = 5, size of lhs = 2:
% 0.37/0.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_union_of_subsets-{T}(V0,V1,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #98: input, references = 4, size of lhs = 0:
% 0.37/0.60 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 number of initial rules = 99
% 0.37/0.60
% 0.37/0.60 Simplifiers:
% 0.37/0.60 #99: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #100: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 P_union-{F}(V0,V1), P_union-{F}(V0,V3), V1 == V3 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #101: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 P_k1_pcomps_1-{F}(V0,V1), P_k1_pcomps_1-{F}(V0,V3), V1 == V3 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #102: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 P_union_of_subsets-{F}(V0,V1,V2), P_union_of_subsets-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #103: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #104: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #105: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #106: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #107: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #108: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #109: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #110: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #111: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #112: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #113: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #114: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #115: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #116: unsound, references = 3, size of lhs = 3:
% 0.37/0.60 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 number of simplifiers = 18
% 0.37/0.60
% 0.37/0.60 Learnt:
% 0.37/0.60 #118: exists( #95, #93 ), references = 2, size of lhs = 2:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | P_union-{T}(V2,V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #120: exists( #96, #75 ), references = 1, size of lhs = 2:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | P_k1_pcomps_1-{T}(V1,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #122: exists( #97, #76 ), references = 1, size of lhs = 5:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), P_union-{F}(V4,V5) | P_union_of_subsets-{T}(V1,V4,V5)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #128: disj( #65, input ), references = 1, size of lhs = 3:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp13-{T}(V3)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #130: mergings( V0 == V3; #126 ), references = 1, size of lhs = 3:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp13-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #133: mergings( V0 == V3, V1 == V3; #127 ), references = 1, size of lhs = 4:
% 0.37/0.60 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #139: disj( #79, input ), references = 1, size of lhs = 3:
% 0.37/0.60 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #141: mergings( V0 == V3; #137 ), references = 1, size of lhs = 3:
% 0.37/0.60 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #144: mergings( V0 == V3, V2 == V3; #138 ), references = 1, size of lhs = 4:
% 0.37/0.60 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #152: mergings( V0 == V4; #150 ), references = 2, size of lhs = 2:
% 0.37/0.60 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V0,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #157: mergings( V2 == V3; #155 ), references = 1, size of lhs = 5:
% 0.37/0.60 P_empty_set-{F}(V0), P_union-{F}(V0,V1), P_powerset-{F}(V2,V3), P_union_of_subsets-{F}(V2,V0,V4), V4 == V1 | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #160: mergings( V1 == V3; #158 ), references = 1, size of lhs = 3:
% 0.37/0.60 P_empty_set-{F}(V0), P_union-{F}(V0,V1), P_powerset-{F}(V2,V3) | P_union_of_subsets-{T}(V2,V0,V1)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #171: exists( #85, #169 ), references = 1, size of lhs = 3:
% 0.37/0.60 pppp12-{F}(V0), P_powerset-{F}(V0,V1), P_union-{F}(V1,V2) | pppp11-{T}(V0,V0), pppp11-{T}(V0,V2)
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #184: mergings( V2 == V3; #182 ), references = 2, size of lhs = 3:
% 0.37/0.60 P_empty_set-{F}(V0), pppp12-{F}(V1), subset-{F}(V1,V1) | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #189: mergings( V0 == V2, V2 == V3; #186 ), references = 1, size of lhs = 1:
% 0.37/0.60 P_empty_set-{F}(V0) | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 #191: exists( #98, #186 ), references = 1, size of lhs = 0:
% 0.37/0.60 FALSE | FALSE
% 0.37/0.60 (used 0 times, uses = {})
% 0.37/0.60
% 0.37/0.60 number of learnt formulas = 16
% 0.37/0.60
% 0.37/0.60
% 0.37/0.60 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.60
% 0.37/0.60 randbase = 1
%------------------------------------------------------------------------------