TSTP Solution File: SEU341+1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:17:51 EDT 2022
% Result : Theorem 3.20s 3.45s
% Output : Refutation 3.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 18:54:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.20/3.45 GeoParameters:
% 3.20/3.45
% 3.20/3.45 tptp_input = 1
% 3.20/3.45 tptp_output = 0
% 3.20/3.45 nonempty = 1
% 3.20/3.45 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.20/3.45 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.20/3.45
% 3.20/3.45
% 3.20/3.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.20/3.45 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.20/3.45
% 3.20/3.45 RuleSystem INPUT:
% 3.20/3.45
% 3.20/3.45 Initial Rules:
% 3.20/3.45 #0: input, references = 6, size of lhs = 2:
% 3.20/3.45 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #1: input, references = 3, size of lhs = 2:
% 3.20/3.45 v1_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #2: input, references = 3, size of lhs = 2:
% 3.20/3.45 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #3: input, references = 3, size of lhs = 2:
% 3.20/3.45 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #4: input, references = 3, size of lhs = 2:
% 3.20/3.45 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #5: input, references = 3, size of lhs = 2:
% 3.20/3.45 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #6: input, references = 3, size of lhs = 2:
% 3.20/3.45 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #7: input, references = 3, size of lhs = 2:
% 3.20/3.45 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #8: input, references = 3, size of lhs = 2:
% 3.20/3.45 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #9: input, references = 3, size of lhs = 2:
% 3.20/3.45 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_int_1-{T}(V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #10: input, references = 3, size of lhs = 2:
% 3.20/3.45 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #11: input, references = 3, size of lhs = 2:
% 3.20/3.45 v5_membered-{F}(V0), element-{F}(V1,V0) | pppp0-{T}(V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #12: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp0-{F}(V0) | v1_rat_1-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #13: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp0-{F}(V0) | v1_int_1-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #14: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp0-{F}(V0) | v1_xreal_0-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #15: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp0-{F}(V0) | natural-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #16: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp0-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #17: input, references = 3, size of lhs = 1:
% 3.20/3.45 empty-{F}(V0) | pppp1-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #18: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp1-{F}(V0) | v5_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #19: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp1-{F}(V0) | v4_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #20: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp1-{F}(V0) | v3_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #21: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp1-{F}(V0) | v2_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #22: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp1-{F}(V0) | v1_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #23: input, references = 3, size of lhs = 3:
% 3.20/3.45 P_powerset-{F}(V0,V1), v1_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #24: input, references = 3, size of lhs = 3:
% 3.20/3.45 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #25: input, references = 3, size of lhs = 3:
% 3.20/3.45 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #26: input, references = 3, size of lhs = 3:
% 3.20/3.45 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #27: input, references = 3, size of lhs = 3:
% 3.20/3.45 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #28: input, references = 3, size of lhs = 3:
% 3.20/3.45 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #29: input, references = 3, size of lhs = 3:
% 3.20/3.45 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #30: input, references = 3, size of lhs = 3:
% 3.20/3.45 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #31: input, references = 3, size of lhs = 3:
% 3.20/3.45 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #32: input, references = 3, size of lhs = 3:
% 3.20/3.45 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v4_membered-{T}(V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #33: input, references = 3, size of lhs = 1:
% 3.20/3.45 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #34: input, references = 3, size of lhs = 3:
% 3.20/3.45 P_powerset-{F}(V0,V1), v5_membered-{F}(V0), element-{F}(V2,V1) | pppp2-{T}(V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #35: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp2-{F}(V0) | v5_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #36: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp2-{F}(V0) | v4_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #37: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp2-{F}(V0) | v3_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #38: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp2-{F}(V0) | v2_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #39: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp2-{F}(V0) | v1_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #40: input, references = 3, size of lhs = 1:
% 3.20/3.45 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #41: input, references = 3, size of lhs = 1:
% 3.20/3.45 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #42: input, references = 3, size of lhs = 1:
% 3.20/3.45 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #43: input, references = 4, size of lhs = 8:
% 3.20/3.45 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0), element-{F}(V3,V1), P_interior-{F}(V0,V4,V5), element-{F}(V4,V2), point_neighbourhood-{F}(V4,V0,V3) | empty_carrier-{T}(V0), in-{T}(V3,V5)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #44: input, references = 4, size of lhs = 8:
% 3.20/3.45 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0), element-{F}(V3,V1), P_interior-{F}(V0,V4,V5), element-{F}(V4,V2), in-{F}(V3,V5) | empty_carrier-{T}(V0), point_neighbourhood-{T}(V4,V0,V3)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #45: input, references = 4, size of lhs = 5:
% 3.20/3.45 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), top_str-{F}(V0), P_interior-{F}(V0,V3,V4), element-{F}(V3,V2) | element-{T}(V4,V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #46: input, references = 3, size of lhs = 1:
% 3.20/3.45 top_str-{F}(V0) | one_sorted_str-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #47: input, references = 5, size of lhs = 6:
% 3.20/3.45 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0), element-{F}(V3,V1), point_neighbourhood-{F}(V4,V0,V3) | empty_carrier-{T}(V0), element-{T}(V4,V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #48: input, references = 3, size of lhs = 0:
% 3.20/3.45 FALSE | EXISTS V0: pppp3-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #49: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp3-{F}(V0) | top_str-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #50: input, references = 3, size of lhs = 0:
% 3.20/3.45 FALSE | EXISTS V0: pppp4-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #51: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp4-{F}(V0) | one_sorted_str-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #52: input, references = 4, size of lhs = 4:
% 3.20/3.45 P_the_carrier-{F}(V0,V1), topological_space-{F}(V0), top_str-{F}(V0), element-{F}(V2,V1) | empty_carrier-{T}(V0), pppp15-{T}(V0,V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #53: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp15-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #54: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp5-{F}(V0,V1,V2) | point_neighbourhood-{T}(V2,V0,V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #55: input, references = 6, size of lhs = 1:
% 3.20/3.45 #-{F} V0 | EXISTS V1: pppp6-{T}(V0,V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #56: input, references = 9, size of lhs = 1:
% 3.20/3.45 pppp6-{F}(V0,V1) | element-{T}(V1,V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #57: input, references = 3, size of lhs = 2:
% 3.20/3.45 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #58: input, references = 3, size of lhs = 1:
% 3.20/3.45 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #59: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp7-{F}(V0) | v5_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #60: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp7-{F}(V0) | v4_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #61: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp7-{F}(V0) | v3_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #62: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp7-{F}(V0) | v2_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #63: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp7-{F}(V0) | v1_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #64: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp7-{F}(V0) | empty-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #65: input, references = 3, size of lhs = 1:
% 3.20/3.45 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #66: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp9-{F}(V0) | pppp8-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #67: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp8-{F}(V0) | v5_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #68: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp8-{F}(V0) | v4_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #69: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp8-{F}(V0) | v3_membered-{T}(V0)
% 3.20/3.45 (used 0 times, uses = {})
% 3.20/3.45
% 3.20/3.45 #70: input, references = 3, size of lhs = 1:
% 3.20/3.45 pppp8-{F}(V0) | v2_membered-{T}(V0)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #71: input, references = 3, size of lhs = 1:
% 3.29/3.45 pppp8-{F}(V0) | v1_membered-{T}(V0)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #72: input, references = 3, size of lhs = 2:
% 3.29/3.45 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #73: input, references = 4, size of lhs = 2:
% 3.29/3.45 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #74: input, references = 3, size of lhs = 1:
% 3.29/3.45 pppp16-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #75: input, references = 3, size of lhs = 2:
% 3.29/3.45 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #76: input, references = 3, size of lhs = 1:
% 3.29/3.45 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #77: input, references = 4, size of lhs = 2:
% 3.29/3.45 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp11-{T}(V3,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #78: input, references = 5, size of lhs = 1:
% 3.29/3.45 pppp11-{F}(V0,V1) | empty-{T}(V0)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #79: input, references = 3, size of lhs = 1:
% 3.29/3.45 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #80: input, references = 3, size of lhs = 2:
% 3.29/3.45 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #81: input, references = 3, size of lhs = 2:
% 3.29/3.45 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #82: input, references = 5, size of lhs = 2:
% 3.29/3.45 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #83: input, references = 3, size of lhs = 3:
% 3.29/3.45 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #84: input, references = 3, size of lhs = 3:
% 3.29/3.45 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #85: input, references = 4, size of lhs = 4:
% 3.29/3.45 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #86: input, references = 4, size of lhs = 14:
% 3.29/3.45 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), topological_space-{F}(V1), top_str-{F}(V1), P_the_carrier-{F}(V4,V5), P_powerset-{F}(V5,V6), top_str-{F}(V4), P_interior-{F}(V1,V7,V8), element-{F}(V7,V3), P_interior-{F}(V4,V9,V10), element-{F}(V9,V6), open_subset-{F}(V9,V4), V10 == V9 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #87: input, references = 3, size of lhs = 12:
% 3.29/3.45 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), topological_space-{F}(V1), top_str-{F}(V1), P_the_carrier-{F}(V4,V5), P_powerset-{F}(V5,V6), top_str-{F}(V4), P_interior-{F}(V1,V7,V7), element-{F}(V7,V3), P_interior-{F}(V4,V9,V10), element-{F}(V9,V6) | open_subset-{T}(V7,V1)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #88: input, references = 4, size of lhs = 1:
% 3.29/3.45 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #89: input, references = 6, size of lhs = 3:
% 3.29/3.45 pppp14-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | EXISTS V3: pppp13-{T}(V0,V3,V1,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #90: input, references = 4, size of lhs = 3:
% 3.29/3.45 pppp14-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | top_str-{T}(V0)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #91: input, references = 4, size of lhs = 3:
% 3.29/3.45 pppp14-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | topological_space-{T}(V0)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #92: input, references = 3, size of lhs = 4:
% 3.29/3.45 pppp14-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), empty_carrier-{F}(V0) | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #93: input, references = 6, size of lhs = 1:
% 3.29/3.45 pppp13-{F}(V0,V1,V2,V3) | EXISTS V4: pppp12-{T}(V0,V1,V4,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #94: input, references = 5, size of lhs = 1:
% 3.29/3.45 pppp13-{F}(V0,V1,V2,V3) | open_subset-{T}(V1,V0)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #95: input, references = 6, size of lhs = 1:
% 3.29/3.45 pppp13-{F}(V0,V1,V2,V3) | element-{T}(V1,V3)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #96: input, references = 5, size of lhs = 2:
% 3.29/3.45 pppp12-{F}(V0,V1,V2,V3), point_neighbourhood-{F}(V1,V0,V2) | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #97: input, references = 8, size of lhs = 1:
% 3.29/3.45 pppp12-{F}(V0,V1,V2,V3) | in-{T}(V2,V1)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #98: input, references = 5, size of lhs = 1:
% 3.29/3.45 pppp12-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #99: input, references = 4, size of lhs = 5:
% 3.29/3.45 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #100: input, references = 5, size of lhs = 3:
% 3.29/3.45 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #101: input, references = 5, size of lhs = 3:
% 3.29/3.45 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #102: input, references = 5, size of lhs = 4:
% 3.29/3.45 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #103: input, references = 4, size of lhs = 1:
% 3.29/3.45 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #104: input, references = 4, size of lhs = 1:
% 3.29/3.45 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #105: input, references = 5, size of lhs = 2:
% 3.29/3.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_interior-{T}(V0,V1,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #106: input, references = 4, size of lhs = 0:
% 3.29/3.45 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 number of initial rules = 107
% 3.29/3.45
% 3.29/3.45 Simplifiers:
% 3.29/3.45 #107: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 empty_carrier-{F}(V0), empty_carrier-{F}(V1), V0 == V1 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #108: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 topological_space-{F}(V0), topological_space-{F}(V1), V0 == V1 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #109: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 point_neighbourhood-{F}(V0,V1,V2), point_neighbourhood-{F}(V3,V4,V5), V1 == V4 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #110: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 open_subset-{F}(V0,V1), open_subset-{F}(V2,V3), V1 == V3 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #111: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #112: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #113: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 P_interior-{F}(V0,V1,V2), P_interior-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #114: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #115: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #116: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #117: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #118: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #119: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #120: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #121: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #122: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #123: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #124: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #125: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #126: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #127: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #128: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #129: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #130: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #131: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V2,V7), V3 == V7 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #132: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #133: unsound, references = 3, size of lhs = 3:
% 3.29/3.45 pppp15-{F}(V0,V1), pppp15-{F}(V2,V3), V0 == V2 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 number of simplifiers = 27
% 3.29/3.45
% 3.29/3.45 Learnt:
% 3.29/3.45 #137: mergings( V0 == V3; #135 ), references = 3, size of lhs = 5:
% 3.29/3.45 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #148: disj( #82, input ), references = 3, size of lhs = 3:
% 3.29/3.45 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #150: mergings( V0 == V3; #146 ), references = 3, size of lhs = 3:
% 3.29/3.45 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #153: mergings( V0 == V3, V2 == V3; #147 ), references = 1, size of lhs = 4:
% 3.29/3.45 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #167: mergings( V0 == V3; #163 ), references = 1, size of lhs = 3:
% 3.29/3.45 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #170: mergings( V0 == V3, V1 == V3; #164 ), references = 1, size of lhs = 4:
% 3.29/3.45 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #172: mergings( V1 == V0; #165 ), references = 1, size of lhs = 3:
% 3.29/3.45 P_empty_set-{F}(V0), P_powerset-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #188: mergings( V0 == V4; #185 ), references = 1, size of lhs = 2:
% 3.29/3.45 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp11-{T}(V0,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #190: mergings( V0 == V4; #186 ), references = 1, size of lhs = 3:
% 3.29/3.45 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp11-{T}(V1,V3)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #204: mergings( V2 == V5; #200 ), references = 5, size of lhs = 5:
% 3.29/3.45 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #207: mergings( V2 == V5, V0 == V5; #202 ), references = 1, size of lhs = 6:
% 3.29/3.45 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), V2 == V3 | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #215: mergings( V2 == V4; #211 ), references = 1, size of lhs = 3:
% 3.29/3.45 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp6-{T}(V1,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #217: mergings( V2 == V4; #213 ), references = 1, size of lhs = 4:
% 3.29/3.45 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3) | pppp6-{T}(V1,V3)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #245: mergings( V1 == V3; #243 ), references = 1, size of lhs = 6:
% 3.29/3.45 topological_space-{F}(V0), top_str-{F}(V0), pppp14-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp15-{T}(V0,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #288: mergings( V1 == V6, V2 == V7; #285 ), references = 3, size of lhs = 9:
% 3.29/3.45 topological_space-{F}(V0), top_str-{F}(V0), pppp14-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), in-{F}(V2,V3), P_interior-{F}(V0,V4,V3), element-{F}(V4,V5), P_powerset-{F}(V1,V5) | point_neighbourhood-{T}(V4,V0,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #319: mergings( V2 == V3, V3 == V7; #316 ), references = 1, size of lhs = 6:
% 3.29/3.45 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), element-{F}(V4,V2), V4 == V3 | pppp6-{T}(V4,V3)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #337: exists( #93, #335 ), references = 4, size of lhs = 4:
% 3.29/3.45 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp13-{F}(V3,V4,V1,V5) | pppp12-{T}(V3,V4,V2,V1)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #363: mergings( V1 == V6, V2 == V7; #360 ), references = 1, size of lhs = 9:
% 3.29/3.45 topological_space-{F}(V0), top_str-{F}(V0), pppp14-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_interior-{F}(V0,V3,V4), point_neighbourhood-{F}(V3,V0,V5), element-{F}(V5,V1) | in-{T}(V5,V4)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #476: mergings( V4 == V6, V5 == V7; #473 ), references = 2, size of lhs = 7:
% 3.29/3.45 P_empty_set-{F}(V0), topological_space-{F}(V1), top_str-{F}(V1), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), open_subset-{F}(V4,V1) | P_interior-{T}(V1,V4,V4)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #496: mergings( V1 == V12, V12 == V13, V13 == V14, V4 == V5, V5 == V8, V8 == V10, V10 == V11, V11 == V6, V6 == V9, V7 == V14; #485 ), references = 1, size of lhs = 9:
% 3.29/3.45 empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V0,V1), topological_space-{F}(V2), top_str-{F}(V2), pppp14-{F}(V2), P_the_carrier-{F}(V2,V1), P_powerset-{F}(V1,V3) | pppp13-{T}(V2,V0,V1,V3)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #517: mergings( V7 == V11, V11 == V12, V12 == V13, V1 == V5, V5 == V8, V8 == V9, V9 == V0, V0 == V2, V2 == V6, V3 == V13, V6 == V14; #503 ), references = 1, size of lhs = 9:
% 3.29/3.45 topological_space-{F}(V0), top_str-{F}(V0), pppp14-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), empty-{F}(V3), element-{F}(V3,V1), P_powerset-{F}(V3,V1), P_empty_set-{F}(V3) | pppp13-{T}(V0,V3,V1,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #531: mergings( V7 == V11, V11 == V12, V12 == V13, V0 == V1, V1 == V5, V5 == V8, V8 == V9, V9 == V15, V15 == V16, V16 == V2, V2 == V6, V3 == V13, V6 == V14; #504 ), references = 1, size of lhs = 9:
% 3.29/3.45 topological_space-{F}(V0), top_str-{F}(V0), pppp14-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), empty-{F}(V3), element-{F}(V3,V1), P_powerset-{F}(V3,V1), P_empty_set-{F}(V3) | pppp13-{T}(V0,V3,V1,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #547: mergings( V7 == V11, V11 == V12, V12 == V13, V0 == V1, V1 == V5, V5 == V8, V8 == V9, V9 == V15, V15 == V16, V16 == V2, V2 == V6, V3 == V13, V6 == V14, V14 == V17, V13 == V18; #505 ), references = 1, size of lhs = 9:
% 3.29/3.45 topological_space-{F}(V0), top_str-{F}(V0), pppp14-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), empty-{F}(V3), P_powerset-{F}(V3,V1), element-{F}(V3,V1) | pppp13-{T}(V0,V3,V1,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #576: mergings( V1 == V6, V6 == V5; #573 ), references = 1, size of lhs = 7:
% 3.29/3.45 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), empty-{F}(V3), element-{F}(V3,V2), P_powerset-{F}(V3,V2), P_empty_set-{F}(V3) | P_interior-{T}(V0,V3,V3)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #592: exists( #89, #590 ), references = 1, size of lhs = 6:
% 3.29/3.45 pppp14-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), empty-{F}(V3), P_powerset-{F}(V3,V2), P_empty_set-{F}(V4) | pppp13-{T}(V0,V4,V1,V2)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #602: exists( #93, #598 ), references = 1, size of lhs = 3:
% 3.29/3.45 P_empty_set-{F}(V0), empty-{F}(V1), pppp13-{F}(V2,V1,V3,V4) | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #664: disj( #47, #148+#0 ), references = 1, size of lhs = 8:
% 3.29/3.45 topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), point_neighbourhood-{F}(V2,V0,V3), element-{F}(V3,V1), P_empty_set-{F}(V4), P_powerset-{F}(V5,V2) | empty_carrier-{T}(V0)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #705: disj( #47, #148+#0 ), references = 1, size of lhs = 9:
% 3.29/3.45 topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), P_powerset-{F}(V4,V2), in-{F}(V2,V5), point_neighbourhood-{F}(V5,V0,V6), element-{F}(V6,V1) | empty_carrier-{T}(V0)
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #754: exists( #93, #750 ), references = 2, size of lhs = 8:
% 3.29/3.45 topological_space-{F}(V0), top_str-{F}(V0), pppp14-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_interior-{F}(V0,V3,V3), element-{F}(V3,V2), pppp13-{F}(V0,V3,V1,V4) | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #765: mergings( V5 == V1; #763 ), references = 1, size of lhs = 6:
% 3.29/3.45 P_empty_set-{F}(V0), topological_space-{F}(V1), top_str-{F}(V1), pppp14-{F}(V1), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3) | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #769: exists( #103, #767 ), references = 1, size of lhs = 3:
% 3.29/3.45 P_empty_set-{F}(V0), pppp14-{F}(V1), P_the_carrier-{F}(V1,V2) | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #771: exists( #104, #768 ), references = 1, size of lhs = 2:
% 3.29/3.45 P_empty_set-{F}(V0), pppp14-{F}(V1) | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #774: mergings( V0 == V2; #772 ), references = 1, size of lhs = 1:
% 3.29/3.45 P_empty_set-{F}(V0) | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 #776: exists( #106, #772 ), references = 1, size of lhs = 0:
% 3.29/3.45 FALSE | FALSE
% 3.29/3.45 (used 0 times, uses = {})
% 3.29/3.45
% 3.29/3.45 number of learnt formulas = 34
% 3.29/3.45
% 3.29/3.45
% 3.29/3.45 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.29/3.45
% 3.29/3.45 randbase = 1
%------------------------------------------------------------------------------