TSTP Solution File: SEU311+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU311+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 06:17:47 EDT 2022
% Result : Theorem 14.82s 15.05s
% Output : Refutation 14.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % 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 19:40:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 14.82/15.05 GeoParameters:
% 14.82/15.05
% 14.82/15.05 tptp_input = 1
% 14.82/15.05 tptp_output = 0
% 14.82/15.05 nonempty = 1
% 14.82/15.05 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.82/15.05 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 14.82/15.05
% 14.82/15.05
% 14.82/15.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.82/15.05 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.82/15.05
% 14.82/15.05 RuleSystem INPUT:
% 14.82/15.05
% 14.82/15.05 Initial Rules:
% 14.82/15.05 #0: input, references = 4, size of lhs = 0:
% 14.82/15.05 FALSE | EXISTS V0: pppp4-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #1: input, references = 4, size of lhs = 5:
% 14.82/15.05 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_cast_as_carrier_subset-{F}(V0,V4) | EXISTS V5: pppp3-{T}(V5,V2,V3,V4)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #2: input, references = 4, size of lhs = 5:
% 14.82/15.05 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_cast_as_carrier_subset-{F}(V0,V4) | top_str-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #3: input, references = 4, size of lhs = 5:
% 14.82/15.05 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_cast_as_carrier_subset-{F}(V0,V4) | topological_space-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #4: input, references = 5, size of lhs = 2:
% 14.82/15.05 pppp3-{F}(V0,V1,V2,V3), element-{F}(V4,V2) | EXISTS V5: pppp2-{T}(V0,V4,V1,V3,V5)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #5: input, references = 4, size of lhs = 1:
% 14.82/15.05 pppp3-{F}(V0,V1,V2,V3) | element-{T}(V0,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #6: input, references = 12, size of lhs = 2:
% 14.82/15.05 pppp2-{F}(V0,V1,V2,V3,V4), P_set_difference-{F}(V3,V4,V5) | pppp1-{T}(V0,V1,V4,V2,V5)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #7: input, references = 8, size of lhs = 3:
% 14.82/15.05 pppp1-{F}(V0,V1,V2,V3,V4), in-{F}(V4,V0), in-{F}(V2,V1) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #8: input, references = 7, size of lhs = 1:
% 14.82/15.05 pppp1-{F}(V0,V1,V2,V3,V4) | in-{T}(V2,V1), in-{T}(V4,V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #9: input, references = 6, size of lhs = 1:
% 14.82/15.05 pppp1-{F}(V0,V1,V2,V3,V4) | element-{T}(V2,V3)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #10: input, references = 3, size of lhs = 1:
% 14.82/15.05 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #11: input, references = 3, size of lhs = 1:
% 14.82/15.05 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #12: input, references = 3, size of lhs = 1:
% 14.82/15.05 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #13: input, references = 3, size of lhs = 1:
% 14.82/15.05 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #14: input, references = 3, size of lhs = 0:
% 14.82/15.05 FALSE | EXISTS V0: pppp6-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #15: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp6-{F}(V0) | pppp5-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #16: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp5-{F}(V0) | v5_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #17: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp5-{F}(V0) | v4_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #18: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp5-{F}(V0) | v3_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #19: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp5-{F}(V0) | v2_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #20: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp5-{F}(V0) | v1_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #21: input, references = 3, size of lhs = 2:
% 14.82/15.05 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #22: input, references = 3, size of lhs = 2:
% 14.82/15.05 v1_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #23: input, references = 3, size of lhs = 2:
% 14.82/15.05 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #24: input, references = 3, size of lhs = 2:
% 14.82/15.05 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #25: input, references = 3, size of lhs = 2:
% 14.82/15.05 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #26: input, references = 3, size of lhs = 2:
% 14.82/15.05 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #27: input, references = 3, size of lhs = 2:
% 14.82/15.05 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #28: input, references = 3, size of lhs = 2:
% 14.82/15.05 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #29: input, references = 3, size of lhs = 2:
% 14.82/15.05 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #30: input, references = 3, size of lhs = 2:
% 14.82/15.05 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_int_1-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #31: input, references = 3, size of lhs = 2:
% 14.82/15.05 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #32: input, references = 3, size of lhs = 2:
% 14.82/15.05 v5_membered-{F}(V0), element-{F}(V1,V0) | pppp7-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #33: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp7-{F}(V0) | v1_rat_1-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #34: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp7-{F}(V0) | v1_int_1-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #35: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp7-{F}(V0) | v1_xreal_0-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #36: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp7-{F}(V0) | natural-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #37: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp7-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #38: input, references = 3, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), v1_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #39: input, references = 3, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #40: input, references = 3, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #41: input, references = 3, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #42: input, references = 3, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #43: input, references = 3, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #44: input, references = 3, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #45: input, references = 3, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #46: input, references = 3, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #47: input, references = 3, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v4_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #48: input, references = 3, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), v5_membered-{F}(V0), element-{F}(V2,V1) | pppp8-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #49: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp8-{F}(V0) | v5_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #50: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp8-{F}(V0) | v4_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #51: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp8-{F}(V0) | v3_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #52: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp8-{F}(V0) | v2_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #53: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp8-{F}(V0) | v1_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #54: input, references = 3, size of lhs = 2:
% 14.82/15.05 v1_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v1_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #55: input, references = 3, size of lhs = 2:
% 14.82/15.05 v2_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v1_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #56: input, references = 3, size of lhs = 2:
% 14.82/15.05 v2_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v2_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #57: input, references = 3, size of lhs = 2:
% 14.82/15.05 v3_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v1_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #58: input, references = 3, size of lhs = 2:
% 14.82/15.05 v3_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v2_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #59: input, references = 3, size of lhs = 2:
% 14.82/15.05 v3_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v3_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #60: input, references = 3, size of lhs = 2:
% 14.82/15.05 v4_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v1_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #61: input, references = 3, size of lhs = 2:
% 14.82/15.05 v4_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v2_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #62: input, references = 3, size of lhs = 2:
% 14.82/15.05 v4_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v3_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #63: input, references = 3, size of lhs = 2:
% 14.82/15.05 v4_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v4_membered-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #64: input, references = 3, size of lhs = 2:
% 14.82/15.05 v5_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | pppp9-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #65: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp9-{F}(V0) | v5_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #66: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp9-{F}(V0) | v4_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #67: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp9-{F}(V0) | v3_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #68: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp9-{F}(V0) | v2_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #69: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp9-{F}(V0) | v1_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #70: input, references = 3, size of lhs = 4:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0) | EXISTS V3: pppp10-{T}(V0,V3,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #71: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp10-{F}(V0,V1,V2) | closed_subset-{T}(V1,V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #72: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp10-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #73: input, references = 4, size of lhs = 1:
% 14.82/15.05 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp19-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #74: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp19-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #75: input, references = 3, size of lhs = 2:
% 14.82/15.05 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #76: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #77: input, references = 4, size of lhs = 1:
% 14.82/15.05 P_powerset-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #78: input, references = 4, size of lhs = 1:
% 14.82/15.05 pppp12-{F}(V0,V1) | empty-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #79: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #80: input, references = 3, size of lhs = 1:
% 14.82/15.05 empty-{F}(V0) | pppp13-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #81: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp13-{F}(V0) | v5_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #82: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp13-{F}(V0) | v4_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #83: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp13-{F}(V0) | v3_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #84: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp13-{F}(V0) | v2_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #85: input, references = 3, size of lhs = 1:
% 14.82/15.05 pppp13-{F}(V0) | v1_membered-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #86: input, references = 9, size of lhs = 2:
% 14.82/15.05 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #87: input, references = 3, size of lhs = 4:
% 14.82/15.05 P_cast_as_carrier_subset-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), one_sorted_str-{F}(V0) | element-{T}(V1,V3)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #88: input, references = 3, size of lhs = 1:
% 14.82/15.05 top_str-{F}(V0) | one_sorted_str-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #89: input, references = 3, size of lhs = 3:
% 14.82/15.05 P_cast_as_carrier_subset-{F}(V0,V1), topological_space-{F}(V0), top_str-{F}(V0) | closed_subset-{T}(V1,V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #90: input, references = 3, size of lhs = 2:
% 14.82/15.05 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #91: input, references = 4, size of lhs = 6:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), topological_space-{F}(V0), top_str-{F}(V0), element-{F}(V4,V3) | EXISTS V5: pppp14-{T}(V0,V4,V5)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #92: input, references = 4, size of lhs = 2:
% 14.82/15.05 pppp14-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #93: input, references = 9, size of lhs = 2:
% 14.82/15.05 pppp14-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp0-{T}(V0,V1,V3)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #94: input, references = 8, size of lhs = 5:
% 14.82/15.05 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), P_cast_as_carrier_subset-{F}(V0,V5), P_set_difference-{F}(V5,V2,V6), pppp0-{F}(V0,V1,V2) | in-{T}(V2,V4)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #95: input, references = 8, size of lhs = 5:
% 14.82/15.05 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), P_cast_as_carrier_subset-{F}(V0,V5), P_set_difference-{F}(V5,V2,V6), pppp0-{F}(V0,V1,V2) | in-{T}(V6,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #96: input, references = 4, size of lhs = 6:
% 14.82/15.05 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), P_cast_as_carrier_subset-{F}(V0,V5), P_set_difference-{F}(V5,V2,V6), in-{F}(V2,V4), in-{F}(V6,V1) | pppp0-{T}(V0,V1,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #97: input, references = 4, size of lhs = 1:
% 14.82/15.05 element-{F}(V1,V0) | empty-{T}(V0), in-{T}(V1,V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #98: input, references = 4, size of lhs = 1:
% 14.82/15.05 in-{F}(V1,V0) | empty-{T}(V0), element-{T}(V1,V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #99: input, references = 5, size of lhs = 2:
% 14.82/15.05 empty-{F}(V0), element-{F}(V1,V0) | empty-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #100: input, references = 3, size of lhs = 2:
% 14.82/15.05 empty-{F}(V0), empty-{F}(V1) | element-{T}(V1,V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #101: input, references = 4, size of lhs = 1:
% 14.82/15.05 #-{F} V0 | EXISTS V1: pppp15-{T}(V0,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #102: input, references = 5, size of lhs = 1:
% 14.82/15.05 pppp15-{F}(V0,V1) | element-{T}(V1,V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #103: input, references = 3, size of lhs = 1:
% 14.82/15.05 P_empty_set-{F}(V0) | empty-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #104: input, references = 9, size of lhs = 3:
% 14.82/15.05 P_empty_set-{F}(V0), #-{F} V1, P_powerset-{F}(V2,V3) | pppp20-{T}(V1,V2), element-{T}(V1,V3)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #105: input, references = 5, size of lhs = 1:
% 14.82/15.05 pppp20-{F}(V0,V1) | EXISTS V2: pppp16-{T}(V0,V1,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #106: input, references = 7, size of lhs = 2:
% 14.82/15.05 pppp16-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #107: input, references = 5, size of lhs = 1:
% 14.82/15.05 pppp16-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #108: input, references = 4, size of lhs = 1:
% 14.82/15.05 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #109: input, references = 5, size of lhs = 1:
% 14.82/15.05 pppp17-{F}(V0) | empty-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #110: input, references = 3, size of lhs = 1:
% 14.82/15.05 P_empty_set-{F}(V0) | EXISTS V1: pppp18-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #111: input, references = 3, size of lhs = 2:
% 14.82/15.05 pppp18-{F}(V0), empty-{F}(V0) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #112: input, references = 6, size of lhs = 3:
% 14.82/15.05 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #113: input, references = 4, size of lhs = 3:
% 14.82/15.05 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #114: input, references = 5, size of lhs = 4:
% 14.82/15.05 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #115: input, references = 5, size of lhs = 1:
% 14.82/15.05 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #116: input, references = 4, size of lhs = 1:
% 14.82/15.05 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #117: input, references = 13, size of lhs = 2:
% 14.82/15.05 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #118: input, references = 4, size of lhs = 1:
% 14.82/15.05 #-{F} V0 | EXISTS V1: P_cast_as_carrier_subset-{T}(V0,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #119: input, references = 4, size of lhs = 0:
% 14.82/15.05 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 number of initial rules = 120
% 14.82/15.05
% 14.82/15.05 Simplifiers:
% 14.82/15.05 #120: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 topological_space-{F}(V0), topological_space-{F}(V1), V0 == V1 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #121: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 top_str-{F}(V0), top_str-{F}(V1), V0 == V1 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #122: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 closed_subset-{F}(V0,V1), closed_subset-{F}(V2,V3), V1 == V3 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #123: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 one_sorted_str-{F}(V0), one_sorted_str-{F}(V1), V0 == V1 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #124: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #125: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #126: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #127: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 P_cast_as_carrier_subset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V3), V1 == V3 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #128: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #129: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #130: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #131: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #132: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #133: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #134: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #135: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V4,V2), V1 == V4 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #136: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V5), V0 == V3 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #137: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #138: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #139: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #140: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V0 == V3 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #141: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #142: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #143: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #144: unsound, references = 3, size of lhs = 3:
% 14.82/15.05 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 number of simplifiers = 25
% 14.82/15.05
% 14.82/15.05 Learnt:
% 14.82/15.05 #154: exists( #101, #149 ), references = 1, size of lhs = 2:
% 14.82/15.05 empty-{F}(V0), P_empty_set-{F}(V1) | pppp15-{T}(V0,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #155: exists( #101, #150 ), references = 1, size of lhs = 3:
% 14.82/15.05 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp15-{T}(V0,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #162: mergings( V0 == V2; #159 ), references = 1, size of lhs = 1:
% 14.82/15.05 P_empty_set-{F}(V0) | pppp17-{T}(V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #164: mergings( V0 == V2; #160 ), references = 1, size of lhs = 2:
% 14.82/15.05 P_empty_set-{F}(V0), empty-{F}(V1) | pppp17-{T}(V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #168: disj( #73, input ), references = 1, size of lhs = 3:
% 14.82/15.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp19-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #170: mergings( V0 == V2; #166 ), references = 1, size of lhs = 4:
% 14.82/15.05 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp19-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #172: mergings( V0 == V2; #167 ), references = 1, size of lhs = 3:
% 14.82/15.05 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp19-{T}(V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #176: disj( #97, input ), references = 1, size of lhs = 3:
% 14.82/15.05 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #178: mergings( V1 == V2; #174 ), references = 1, size of lhs = 4:
% 14.82/15.05 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #179: disj( #97, input ), references = 8, size of lhs = 2:
% 14.82/15.05 element-{F}(V0,V1), P_powerset-{F}(V2,V1) | in-{T}(V0,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #184: exists( #77, #182 ), references = 1, size of lhs = 2:
% 14.82/15.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp12-{T}(V0,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #191: disj( #104, #179+#86 ), references = 1, size of lhs = 3:
% 14.82/15.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2) | pppp20-{T}(V2,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #197: exists( #105, #195 ), references = 1, size of lhs = 1:
% 14.82/15.05 pppp20-{F}(V0,V0) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #211: disj( #104, exists( #105, #195 ) ), references = 1, size of lhs = 2:
% 14.82/15.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | element-{T}(V1,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #234: disj( #98, input ), references = 1, size of lhs = 2:
% 14.82/15.05 in-{F}(V0,V1), P_powerset-{F}(V2,V1) | element-{T}(V0,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #235: disj( #98, input ), references = 1, size of lhs = 3:
% 14.82/15.05 P_empty_set-{F}(V0), in-{F}(V1,V2), V2 == V0 | element-{T}(V1,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #237: mergings( V1 == V2; #233 ), references = 1, size of lhs = 3:
% 14.82/15.05 P_empty_set-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V0) | element-{T}(V1,V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #257: disj( #104, #179+#86 ), references = 1, size of lhs = 4:
% 14.82/15.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V2,V4) | pppp20-{T}(V4,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #353: exists( #117, #351 ), references = 1, size of lhs = 3:
% 14.82/15.05 P_powerset-{F}(V0,V1), in-{F}(V1,V2), pppp2-{F}(V3,V4,V1,V5,V2) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #368: exists( #117, #366 ), references = 2, size of lhs = 9:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), P_cast_as_carrier_subset-{F}(V4,V3), P_the_carrier-{F}(V4,V5), P_powerset-{F}(V5,V6), pppp0-{F}(V0,V7,V8), pppp0-{F}(V4,V9,V8), pppp2-{F}(V9,V2,V10,V3,V8) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #388: disj( #104, #179+#106 ), references = 1, size of lhs = 4:
% 14.82/15.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), pppp16-{F}(V4,V2,V5) | pppp20-{T}(V5,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #405: disj( #8, input ), references = 1, size of lhs = 2:
% 14.82/15.05 in-{F}(V0,V1), pppp1-{F}(V2,V0,V1,V3,V4) | in-{T}(V4,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #427: disj( #8, #93+#95+#86 ), references = 1, size of lhs = 7:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), pppp14-{F}(V0,V4,V5), in-{F}(V4,V6), P_set_difference-{F}(V3,V7,V6), pppp1-{F}(V8,V5,V7,V9,V10) | in-{T}(V10,V8)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #428: disj( #8, #93+#95+#106 ), references = 1, size of lhs = 7:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), pppp14-{F}(V0,V4,V5), P_set_difference-{F}(V3,V6,V7), pppp16-{F}(V8,V4,V7), pppp1-{F}(V9,V5,V6,V10,V11) | in-{T}(V11,V9)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #431: mergings( V6 == V9, V7 == V10; #426 ), references = 2, size of lhs = 6:
% 14.82/15.05 P_cast_as_carrier_subset-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), pppp14-{F}(V0,V4,V5), pppp2-{F}(V4,V3,V6,V1,V7), pppp1-{F}(V8,V5,V7,V9,V10) | in-{T}(V10,V8)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #446: exists( #117, #444 ), references = 2, size of lhs = 8:
% 14.82/15.05 P_cast_as_carrier_subset-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), pppp14-{F}(V0,V4,V5), pppp2-{F}(V4,V3,V6,V1,V7), in-{F}(V7,V8), pppp2-{F}(V9,V5,V10,V11,V7), pppp2-{F}(V9,V8,V12,V11,V7) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #460: exists( #117, #458 ), references = 1, size of lhs = 9:
% 14.82/15.05 P_powerset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V2,V3), P_the_carrier-{F}(V2,V4), P_powerset-{F}(V4,V5), pppp14-{F}(V2,V6,V7), pppp2-{F}(V6,V5,V8,V3,V9), pppp2-{F}(V10,V11,V1,V12,V9), pppp2-{F}(V13,V7,V14,V15,V9), pppp2-{F}(V13,V1,V16,V15,V9) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #485: disj( #8, #93+#94+#86 ), references = 1, size of lhs = 6:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), P_set_difference-{F}(V3,V2,V4), pppp14-{F}(V0,V5,V6), pppp1-{F}(V6,V7,V8,V9,V2) | in-{T}(V8,V7)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #486: disj( #8, #96+#92+#7 ), references = 2, size of lhs = 8:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), in-{F}(V4,V2), P_set_difference-{F}(V3,V4,V5), pppp14-{F}(V0,V6,V7), pppp1-{F}(V6,V7,V4,V8,V5), pppp1-{F}(V6,V9,V10,V11,V5) | in-{T}(V10,V9)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #536: mergings( V3 == V6, V4 == V7, V5 == V8; #532 ), references = 3, size of lhs = 6:
% 14.82/15.05 P_cast_as_carrier_subset-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V3), pppp14-{F}(V0,V5,V6), pppp2-{F}(V5,V6,V7,V1,V4) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #542: mergings( V6 == V8, V5 == V9, V3 == V10; #538 ), references = 1, size of lhs = 8:
% 14.82/15.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), P_powerset-{F}(V4,V2), P_the_carrier-{F}(V5,V4), P_cast_as_carrier_subset-{F}(V5,V6), pppp14-{F}(V5,V7,V8), pppp2-{F}(V7,V8,V9,V6,V10) | pppp20-{T}(V10,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #576: exists( #117, #573 ), references = 1, size of lhs = 6:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), pppp0-{F}(V0,V4,V5), in-{F}(V5,V6), pppp2-{F}(V4,V6,V7,V3,V5) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #577: exists( #117, #572 ), references = 1, size of lhs = 9:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), P_powerset-{F}(V4,V2), P_the_carrier-{F}(V5,V4), P_cast_as_carrier_subset-{F}(V5,V6), pppp0-{F}(V0,V7,V8), pppp14-{F}(V5,V9,V10), pppp2-{F}(V9,V10,V11,V6,V8) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #592: exists( #117, #589 ), references = 1, size of lhs = 7:
% 14.82/15.05 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_the_carrier-{F}(V3,V2), P_cast_as_carrier_subset-{F}(V3,V4), pppp14-{F}(V3,V5,V6), pppp2-{F}(V5,V6,V7,V4,V8), pppp2-{F}(V9,V10,V1,V11,V8) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #594: exists( #4, #591 ), references = 1, size of lhs = 7:
% 14.82/15.05 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_the_carrier-{F}(V3,V2), P_cast_as_carrier_subset-{F}(V3,V4), pppp14-{F}(V3,V5,V6), element-{F}(V6,V7), pppp3-{F}(V5,V1,V7,V4) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #677: disj( #104, exists( #4, #591 ) ), references = 2, size of lhs = 8:
% 14.82/15.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V4), P_powerset-{F}(V5,V4), P_the_carrier-{F}(V6,V5), P_cast_as_carrier_subset-{F}(V6,V7), pppp3-{F}(V8,V4,V2,V7), pppp14-{F}(V6,V8,V9) | pppp20-{T}(V9,V1)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #738: disj( #8, input ), references = 1, size of lhs = 1:
% 14.82/15.05 pppp1-{F}(V0,V1,V1,V2,V3) | in-{T}(V3,V0)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #739: disj( #8, input ), references = 1, size of lhs = 2:
% 14.82/15.05 pppp1-{F}(V0,V0,V1,V2,V1), pppp1-{F}(V3,V0,V1,V4,V5) | in-{T}(V5,V3)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #740: disj( #8, input ), references = 2, size of lhs = 3:
% 14.82/15.05 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1,V3,V4,V5) | in-{T}(V5,V2)
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #831: mergings( V3 == V5; #829 ), references = 1, size of lhs = 4:
% 14.82/15.05 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp2-{F}(V2,V0,V3,V4,V5) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #834: mergings( V6 == V7; #832 ), references = 1, size of lhs = 5:
% 14.82/15.05 empty-{F}(V0), element-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), pppp3-{F}(V3,V4,V1,V5) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #912: exists( #117, #910 ), references = 1, size of lhs = 5:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), in-{F}(V2,V4), pppp0-{F}(V0,V5,V4) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #988: exists( #117, #986 ), references = 1, size of lhs = 5:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), pppp0-{F}(V0,V4,V5), pppp16-{F}(V6,V2,V5) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #992: exists( #105, #990 ), references = 1, size of lhs = 5:
% 14.82/15.05 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), pppp20-{F}(V4,V2), pppp14-{F}(V0,V5,V4) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #1001: mergings( V1 == V9, V2 == V8, V9 == V13, V8 == V12, V3 == V11, V10 == V14; #994 ), references = 2, size of lhs = 10:
% 14.82/15.05 topological_space-{F}(V0), top_str-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V3), P_powerset-{F}(V3,V5), element-{F}(V6,V5), pppp3-{F}(V6,V3,V5,V7), P_cast_as_carrier_subset-{F}(V0,V7) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #1004: exists( #1, #1002 ), references = 1, size of lhs = 12:
% 14.82/15.05 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), topological_space-{F}(V4), top_str-{F}(V4), P_cast_as_carrier_subset-{F}(V4,V3), P_empty_set-{F}(V5), P_the_carrier-{F}(V4,V6), P_powerset-{F}(V6,V2), P_powerset-{F}(V7,V2), P_powerset-{F}(V2,V8) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #1014: mergings( V3 == V5, V5 == V11, V4 == V6, V6 == V9, V2 == V7, V8 == V11; #1007 ), references = 1, size of lhs = 6:
% 14.82/15.05 pppp4-{F}(V0), P_cast_as_carrier_subset-{F}(V0,V1), P_empty_set-{F}(V2), P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V5,V4) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #1019: mergings( V3 == V4, V4 == V6, V2 == V5; #1015 ), references = 1, size of lhs = 4:
% 14.82/15.05 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V2), P_empty_set-{F}(V3) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #1021: exists( #118, #1015 ), references = 1, size of lhs = 3:
% 14.82/15.05 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #1023: exists( #116, #1020 ), references = 1, size of lhs = 2:
% 14.82/15.05 pppp4-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #1025: exists( #119, #1022 ), references = 1, size of lhs = 1:
% 14.82/15.05 pppp4-{F}(V0) | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 #1027: exists( #0, #1024 ), references = 1, size of lhs = 0:
% 14.82/15.05 FALSE | FALSE
% 14.82/15.05 (used 0 times, uses = {})
% 14.82/15.05
% 14.82/15.05 number of learnt formulas = 52
% 14.82/15.05
% 14.82/15.05
% 14.82/15.05 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.82/15.06
% 14.82/15.06 randbase = 1
%------------------------------------------------------------------------------