TSTP Solution File: SEU310+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 0.82s 1.03s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 18:16:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.82/1.03 GeoParameters:
% 0.82/1.03
% 0.82/1.03 tptp_input = 1
% 0.82/1.03 tptp_output = 0
% 0.82/1.03 nonempty = 1
% 0.82/1.03 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.82/1.03 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.82/1.03
% 0.82/1.03
% 0.82/1.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.82/1.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.82/1.03
% 0.82/1.03 RuleSystem INPUT:
% 0.82/1.03
% 0.82/1.03 Initial Rules:
% 0.82/1.03 #0: input, references = 4, size of lhs = 0:
% 0.82/1.03 FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #1: input, references = 4, size of lhs = 4:
% 0.82/1.03 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp3-{T}(V0,V4,V3)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #2: input, references = 4, size of lhs = 4:
% 0.82/1.03 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | top_str-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #3: input, references = 4, size of lhs = 4:
% 0.82/1.03 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | topological_space-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #4: input, references = 4, size of lhs = 2:
% 0.82/1.03 pppp3-{F}(V0,V1,V2), #-{F} V3 | EXISTS V4: pppp2-{T}(V0,V1,V4,V3)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #5: input, references = 5, size of lhs = 1:
% 0.82/1.03 pppp3-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #6: input, references = 6, size of lhs = 3:
% 0.82/1.03 pppp2-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V2), in-{F}(V2,V3) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #7: input, references = 10, size of lhs = 1:
% 0.82/1.03 pppp2-{F}(V0,V1,V2,V3) | in-{T}(V2,V3), pppp0-{T}(V0,V1,V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #8: input, references = 6, size of lhs = 5:
% 0.82/1.03 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)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #9: input, references = 6, size of lhs = 5:
% 0.82/1.03 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)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #10: input, references = 5, size of lhs = 6:
% 0.82/1.03 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)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #11: input, references = 3, size of lhs = 1:
% 0.82/1.03 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #12: input, references = 3, size of lhs = 1:
% 0.82/1.03 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #13: input, references = 3, size of lhs = 1:
% 0.82/1.03 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #14: input, references = 3, size of lhs = 1:
% 0.82/1.03 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #15: input, references = 3, size of lhs = 0:
% 0.82/1.03 FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #16: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp6-{F}(V0) | pppp5-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #17: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp5-{F}(V0) | v5_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #18: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp5-{F}(V0) | v4_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #19: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp5-{F}(V0) | v3_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #20: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp5-{F}(V0) | v2_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #21: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp5-{F}(V0) | v1_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #22: input, references = 3, size of lhs = 2:
% 0.82/1.03 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #23: input, references = 3, size of lhs = 2:
% 0.82/1.03 v1_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #24: input, references = 3, size of lhs = 2:
% 0.82/1.03 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #25: input, references = 3, size of lhs = 2:
% 0.82/1.03 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #26: input, references = 3, size of lhs = 2:
% 0.82/1.03 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #27: input, references = 3, size of lhs = 2:
% 0.82/1.03 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #28: input, references = 3, size of lhs = 2:
% 0.82/1.03 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #29: input, references = 3, size of lhs = 2:
% 0.82/1.03 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #30: input, references = 3, size of lhs = 2:
% 0.82/1.03 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #31: input, references = 3, size of lhs = 2:
% 0.82/1.03 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_int_1-{T}(V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #32: input, references = 3, size of lhs = 2:
% 0.82/1.03 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #33: input, references = 3, size of lhs = 2:
% 0.82/1.03 v5_membered-{F}(V0), element-{F}(V1,V0) | pppp7-{T}(V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #34: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp7-{F}(V0) | v1_rat_1-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #35: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp7-{F}(V0) | v1_int_1-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #36: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp7-{F}(V0) | v1_xreal_0-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #37: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp7-{F}(V0) | natural-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #38: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp7-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #39: input, references = 3, size of lhs = 3:
% 0.82/1.03 P_powerset-{F}(V0,V1), v1_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #40: input, references = 3, size of lhs = 3:
% 0.82/1.03 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #41: input, references = 3, size of lhs = 3:
% 0.82/1.03 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #42: input, references = 3, size of lhs = 3:
% 0.82/1.03 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #43: input, references = 3, size of lhs = 3:
% 0.82/1.03 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #44: input, references = 3, size of lhs = 3:
% 0.82/1.03 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #45: input, references = 3, size of lhs = 3:
% 0.82/1.03 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #46: input, references = 3, size of lhs = 3:
% 0.82/1.03 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #47: input, references = 3, size of lhs = 3:
% 0.82/1.03 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #48: input, references = 3, size of lhs = 3:
% 0.82/1.03 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v4_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #49: input, references = 3, size of lhs = 3:
% 0.82/1.03 P_powerset-{F}(V0,V1), v5_membered-{F}(V0), element-{F}(V2,V1) | pppp8-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #50: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp8-{F}(V0) | v5_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #51: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp8-{F}(V0) | v4_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #52: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp8-{F}(V0) | v3_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #53: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp8-{F}(V0) | v2_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #54: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp8-{F}(V0) | v1_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #55: input, references = 3, size of lhs = 2:
% 0.82/1.03 v1_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v1_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #56: input, references = 3, size of lhs = 2:
% 0.82/1.03 v2_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v1_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #57: input, references = 3, size of lhs = 2:
% 0.82/1.03 v2_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v2_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #58: input, references = 3, size of lhs = 2:
% 0.82/1.03 v3_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v1_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #59: input, references = 3, size of lhs = 2:
% 0.82/1.03 v3_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v2_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #60: input, references = 3, size of lhs = 2:
% 0.82/1.03 v3_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v3_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #61: input, references = 3, size of lhs = 2:
% 0.82/1.03 v4_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v1_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #62: input, references = 3, size of lhs = 2:
% 0.82/1.03 v4_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v2_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #63: input, references = 3, size of lhs = 2:
% 0.82/1.03 v4_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v3_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #64: input, references = 3, size of lhs = 2:
% 0.82/1.03 v4_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | v4_membered-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #65: input, references = 3, size of lhs = 2:
% 0.82/1.03 v5_membered-{F}(V0), P_set_difference-{F}(V0,V1,V2) | pppp9-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #66: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp9-{F}(V0) | v5_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #67: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp9-{F}(V0) | v4_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #68: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp9-{F}(V0) | v3_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #69: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp9-{F}(V0) | v2_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #70: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp9-{F}(V0) | v1_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #71: input, references = 3, size of lhs = 4:
% 0.82/1.03 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)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #72: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp10-{F}(V0,V1,V2) | closed_subset-{T}(V1,V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #73: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp10-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #74: input, references = 4, size of lhs = 1:
% 0.82/1.03 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp19-{T}(V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #75: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp19-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #76: input, references = 3, size of lhs = 2:
% 0.82/1.03 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #77: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #78: input, references = 3, size of lhs = 1:
% 0.82/1.03 P_powerset-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #79: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp12-{F}(V0,V1) | empty-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #80: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #81: input, references = 3, size of lhs = 1:
% 0.82/1.03 empty-{F}(V0) | pppp13-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #82: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp13-{F}(V0) | v5_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #83: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp13-{F}(V0) | v4_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #84: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp13-{F}(V0) | v3_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #85: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp13-{F}(V0) | v2_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #86: input, references = 3, size of lhs = 1:
% 0.82/1.03 pppp13-{F}(V0) | v1_membered-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #87: input, references = 6, size of lhs = 2:
% 0.82/1.03 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #88: input, references = 3, size of lhs = 4:
% 0.82/1.03 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)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #89: input, references = 3, size of lhs = 1:
% 0.82/1.03 top_str-{F}(V0) | one_sorted_str-{T}(V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #90: input, references = 3, size of lhs = 3:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V1), topological_space-{F}(V0), top_str-{F}(V0) | closed_subset-{T}(V1,V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #91: input, references = 3, size of lhs = 2:
% 0.82/1.03 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #92: input, references = 4, size of lhs = 7:
% 0.82/1.03 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-{F}(V0), top_str-{F}(V0), element-{F}(V5,V3) | pppp20-{T}(V5,V4), pppp21-{T}(V0,V5)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #93: input, references = 4, size of lhs = 1:
% 0.82/1.03 pppp20-{F}(V0,V1) | EXISTS V2: pppp16-{T}(V0,V2,V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #94: input, references = 4, size of lhs = 1:
% 0.82/1.03 pppp21-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #95: input, references = 5, size of lhs = 2:
% 0.82/1.03 pppp17-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #96: input, references = 6, size of lhs = 2:
% 0.82/1.03 pppp17-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp1-{T}(V0,V1,V3)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #97: input, references = 4, size of lhs = 2:
% 0.82/1.03 pppp16-{F}(V0,V1,V2), P_set_difference-{F}(V2,V1,V3) | EXISTS V4: pppp15-{T}(V0,V4,V1,V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #98: input, references = 3, size of lhs = 2:
% 0.82/1.03 pppp16-{F}(V0,V1,V2), P_set_difference-{F}(V2,V1,V3) | in-{T}(V3,V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #99: input, references = 4, size of lhs = 2:
% 0.82/1.03 pppp15-{F}(V0,V1,V2,V3), P_set_difference-{F}(V3,V1,V4) | EXISTS V5: pppp14-{T}(V1,V5,V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #100: input, references = 4, size of lhs = 2:
% 0.82/1.03 pppp15-{F}(V0,V2,V2,V3), P_set_difference-{F}(V3,V2,V4) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #101: input, references = 3, size of lhs = 2:
% 0.82/1.03 pppp15-{F}(V0,V1,V2,V3), P_set_difference-{F}(V3,V1,V4) | in-{T}(V4,V0)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #102: input, references = 5, size of lhs = 2:
% 0.82/1.03 pppp14-{F}(V0,V1,V2), V1 == V2 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #103: input, references = 4, size of lhs = 2:
% 0.82/1.03 pppp14-{F}(V0,V1,V2), V1 == V0 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #104: input, references = 5, size of lhs = 5:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V3), P_set_difference-{F}(V3,V2,V4), P_the_carrier-{F}(V0,V5), P_powerset-{F}(V5,V6), pppp1-{F}(V0,V1,V2) | in-{T}(V4,V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #105: input, references = 4, size of lhs = 5:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V3), P_set_difference-{F}(V3,V2,V4), P_the_carrier-{F}(V0,V5), P_powerset-{F}(V5,V6), pppp1-{F}(V0,V1,V2) | EXISTS V7: pppp18-{T}(V2,V7,V6)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #106: input, references = 5, size of lhs = 6:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V3), P_set_difference-{F}(V3,V2,V4), P_the_carrier-{F}(V0,V5), P_powerset-{F}(V5,V6), in-{F}(V4,V1), in-{F}(V2,V6) | pppp1-{T}(V0,V1,V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #107: input, references = 4, size of lhs = 2:
% 0.82/1.03 pppp18-{F}(V0,V1,V2), V1 == V0 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #108: input, references = 6, size of lhs = 1:
% 0.82/1.03 pppp18-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #109: input, references = 5, size of lhs = 1:
% 0.82/1.03 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #110: input, references = 4, size of lhs = 1:
% 0.82/1.03 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #111: input, references = 7, size of lhs = 2:
% 0.82/1.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #112: input, references = 4, size of lhs = 1:
% 0.82/1.03 #-{F} V0 | EXISTS V1: P_cast_as_carrier_subset-{T}(V0,V1)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 number of initial rules = 113
% 0.82/1.03
% 0.82/1.03 Simplifiers:
% 0.82/1.03 #113: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 topological_space-{F}(V0), topological_space-{F}(V1), V0 == V1 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #114: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 top_str-{F}(V0), top_str-{F}(V1), V0 == V1 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #115: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 closed_subset-{F}(V0,V1), closed_subset-{F}(V2,V3), V1 == V3 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #116: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 one_sorted_str-{F}(V0), one_sorted_str-{F}(V1), V0 == V1 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #117: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #118: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #119: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #120: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V3), V1 == V3 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #121: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #122: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #123: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #124: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #125: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #126: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #127: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #128: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #129: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #130: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #131: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #132: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #133: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #134: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #135: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #136: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #137: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp17-{F}(V0,V1,V2), pppp17-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #138: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #139: unsound, references = 3, size of lhs = 3:
% 0.82/1.03 pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V0 == V2 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 number of simplifiers = 27
% 0.82/1.03
% 0.82/1.03 Learnt:
% 0.82/1.03 #141: disj( #74, input ), references = 1, size of lhs = 2:
% 0.82/1.03 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp19-{T}(V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #148: disj( #7, #9+#87 ), references = 1, size of lhs = 5:
% 0.82/1.03 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), P_set_difference-{F}(V3,V4,V5), pppp2-{F}(V0,V5,V4,V6) | in-{T}(V4,V6)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #149: disj( #7, #8+#6 ), references = 1, size of lhs = 6:
% 0.82/1.03 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3), P_set_difference-{F}(V3,V4,V5), pppp2-{F}(V0,V6,V4,V2), pppp2-{F}(V0,V6,V4,V7) | in-{T}(V4,V7)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #157: exists( #105, #107 ), references = 4, size of lhs = 5:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), pppp1-{F}(V0,V4,V5), P_set_difference-{F}(V1,V5,V6) | pppp18-{T}(V5,V5,V3)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #164: disj( #7, input ), references = 1, size of lhs = 3:
% 0.82/1.03 in-{F}(V0,V1), pppp2-{F}(V2,V3,V0,V1), pppp2-{F}(V2,V3,V0,V4) | in-{T}(V0,V4)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #169: disj( #7, input ), references = 1, size of lhs = 1:
% 0.82/1.03 pppp2-{F}(V0,V1,V2,V2) | pppp0-{T}(V0,V1,V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #187: exists( #111, #183 ), references = 1, size of lhs = 12:
% 0.82/1.03 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,V2), P_cast_as_carrier_subset-{F}(V6,V3), P_the_carrier-{F}(V6,V7), P_powerset-{F}(V7,V8), pppp0-{F}(V0,V9,V10), pppp17-{F}(V4,V11,V10), pppp0-{F}(V6,V11,V10) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #188: exists( #111, #184 ), references = 2, size of lhs = 14:
% 0.82/1.03 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,V2), P_cast_as_carrier_subset-{F}(V6,V3), P_the_carrier-{F}(V6,V7), P_powerset-{F}(V7,V8), pppp0-{F}(V0,V9,V10), pppp0-{F}(V6,V11,V10), pppp17-{F}(V4,V11,V12), pppp2-{F}(V13,V14,V10,V12), pppp0-{F}(V13,V14,V10) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #197: exists( #99, #102 ), references = 1, size of lhs = 2:
% 0.82/1.03 P_set_difference-{F}(V0,V1,V2), pppp15-{F}(V3,V1,V4,V0) | pppp14-{T}(V1,V4,V4)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #198: exists( #99, #103 ), references = 1, size of lhs = 2:
% 0.82/1.03 P_set_difference-{F}(V0,V1,V2), pppp15-{F}(V3,V1,V4,V0) | pppp14-{T}(V1,V1,V4)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #203: exists( #111, #199 ), references = 1, size of lhs = 2:
% 0.82/1.03 pppp15-{F}(V0,V1,V2,V3), V1 == V2 | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #206: exists( #97, #201 ), references = 2, size of lhs = 2:
% 0.82/1.03 pppp16-{F}(V0,V1,V2), P_set_difference-{F}(V2,V1,V3) | pppp15-{T}(V0,V1,V1,V2)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #221: exists( #111, #219 ), references = 1, size of lhs = 1:
% 0.82/1.03 pppp16-{F}(V0,V1,V2) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #223: exists( #93, #220 ), references = 1, size of lhs = 1:
% 0.82/1.03 pppp20-{F}(V0,V1) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #225: disj( #92, exists( #93, #220 ) ), references = 3, size of lhs = 7:
% 0.82/1.03 topological_space-{F}(V0), top_str-{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), element-{F}(V5,V3) | pppp21-{T}(V0,V5)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #229: mergings( V4 == V9, V5 == V10; #226 ), references = 3, size of lhs = 9:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V2,V1), P_the_carrier-{F}(V2,V3), P_powerset-{F}(V3,V4), P_the_carrier-{F}(V0,V5), P_powerset-{F}(V5,V4), pppp17-{F}(V2,V6,V7), pppp2-{F}(V0,V6,V8,V7), pppp2-{F}(V0,V6,V8,V9) | in-{T}(V8,V9)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #239: disj( #7, #96+#157+#108+#87 ), references = 1, size of lhs = 6:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), P_set_difference-{F}(V1,V3,V4), pppp17-{F}(V0,V5,V6), pppp2-{F}(V7,V8,V3,V6) | pppp0-{T}(V7,V8,V3)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #245: mergings( V4 == V9, V5 == V10; #242 ), references = 1, size of lhs = 8:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V2,V1), P_the_carrier-{F}(V2,V3), P_powerset-{F}(V3,V4), P_the_carrier-{F}(V0,V5), P_powerset-{F}(V5,V4), pppp17-{F}(V2,V6,V7), pppp2-{F}(V0,V6,V7,V8) | in-{T}(V7,V8)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #254: mergings( V4 == V9, V5 == V10; #251 ), references = 1, size of lhs = 9:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V2,V1), P_the_carrier-{F}(V2,V3), P_powerset-{F}(V3,V4), P_the_carrier-{F}(V0,V5), P_powerset-{F}(V5,V4), pppp17-{F}(V2,V6,V7), pppp2-{F}(V0,V6,V8,V7), pppp2-{F}(V0,V6,V8,V9) | in-{T}(V8,V9)
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #274: exists( #111, #270 ), references = 1, size of lhs = 13:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), P_cast_as_carrier_subset-{F}(V4,V1), P_the_carrier-{F}(V4,V5), P_powerset-{F}(V5,V6), P_cast_as_carrier_subset-{F}(V7,V1), P_the_carrier-{F}(V7,V8), P_powerset-{F}(V8,V6), pppp1-{F}(V0,V9,V10), pppp1-{F}(V4,V11,V10), pppp2-{F}(V7,V9,V10,V12), in-{F}(V10,V12) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #280: mergings( V10 == V12, V9 == V13, V12 == V17, V13 == V18, V0 == V14; #273 ), references = 1, size of lhs = 16:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), P_cast_as_carrier_subset-{F}(V4,V1), P_the_carrier-{F}(V4,V5), P_powerset-{F}(V5,V6), P_cast_as_carrier_subset-{F}(V7,V1), P_cast_as_carrier_subset-{F}(V8,V1), P_the_carrier-{F}(V8,V9), P_powerset-{F}(V9,V6), P_the_carrier-{F}(V7,V10), P_powerset-{F}(V10,V6), pppp1-{F}(V0,V11,V12), pppp17-{F}(V8,V11,V13), pppp2-{F}(V7,V11,V12,V13), pppp1-{F}(V4,V14,V12) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #294: mergings( V9 == V16, V8 == V15, V11 == V14, V12 == V15, V5 == V13, V6 == V10, V7 == V14; #285 ), references = 1, size of lhs = 8:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V2,V1), P_the_carrier-{F}(V2,V3), P_powerset-{F}(V3,V4), P_the_carrier-{F}(V0,V5), P_powerset-{F}(V5,V4), pppp3-{F}(V0,V6,V7), pppp17-{F}(V2,V6,V8) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #309: mergings( V9 == V16, V8 == V15, V11 == V14, V12 == V15, V16 == V17, V15 == V18, V17 == V22, V18 == V23, V5 == V13, V13 == V19, V6 == V10, V7 == V14, V10 == V20, V14 == V21; #286 ), references = 1, size of lhs = 8:
% 0.82/1.03 P_cast_as_carrier_subset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V2,V1), P_the_carrier-{F}(V2,V3), P_powerset-{F}(V3,V4), P_the_carrier-{F}(V0,V5), P_powerset-{F}(V5,V4), pppp3-{F}(V0,V6,V7), pppp17-{F}(V2,V6,V8) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #318: mergings( V5 == V9, V6 == V10, V7 == V13, V10 == V12, V9 == V11, V4 == V8; #310 ), references = 2, size of lhs = 8:
% 0.82/1.03 pppp21-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V2), P_cast_as_carrier_subset-{F}(V3,V2), P_the_carrier-{F}(V0,V4), P_powerset-{F}(V4,V5), P_the_carrier-{F}(V3,V6), P_powerset-{F}(V6,V5), pppp3-{F}(V3,V1,V7) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #331: mergings( V5 == V9, V6 == V10, V7 == V13, V10 == V12, V9 == V11, V11 == V17, V12 == V15, V13 == V14, V14 == V18, V15 == V19, V4 == V8, V8 == V16; #311 ), references = 2, size of lhs = 8:
% 0.82/1.03 pppp21-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V2), P_cast_as_carrier_subset-{F}(V3,V2), P_the_carrier-{F}(V0,V4), P_powerset-{F}(V4,V5), P_the_carrier-{F}(V3,V6), P_powerset-{F}(V6,V5), pppp3-{F}(V3,V1,V7) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #343: mergings( V1 == V12, V2 == V11, V6 == V10, V7 == V11, V8 == V9; #336 ), references = 1, size of lhs = 10:
% 0.82/1.03 pppp4-{F}(V0), topological_space-{F}(V1), top_str-{F}(V1), P_cast_as_carrier_subset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V2), P_the_carrier-{F}(V1,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), P_the_carrier-{F}(V0,V6), P_powerset-{F}(V6,V4) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #349: mergings( V1 == V12, V2 == V11, V6 == V10, V7 == V11, V8 == V9; #337 ), references = 1, size of lhs = 10:
% 0.82/1.03 pppp4-{F}(V0), topological_space-{F}(V1), top_str-{F}(V1), P_cast_as_carrier_subset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V2), P_the_carrier-{F}(V1,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), P_the_carrier-{F}(V0,V6), P_powerset-{F}(V6,V4) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #357: mergings( V2 == V5, V3 == V6, V5 == V7, V6 == V8, V7 == V9; #350 ), references = 2, size of lhs = 6:
% 0.82/1.03 pppp4-{F}(V0), topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #382: mergings( V3 == V4, V4 == V5; #377 ), references = 1, size of lhs = 3:
% 0.82/1.03 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #386: exists( #109, #377 ), references = 1, size of lhs = 2:
% 0.82/1.03 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #388: exists( #110, #383 ), references = 1, size of lhs = 1:
% 0.82/1.03 pppp4-{F}(V0) | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 #390: exists( #0, #387 ), references = 1, size of lhs = 0:
% 0.82/1.03 FALSE | FALSE
% 0.82/1.03 (used 0 times, uses = {})
% 0.82/1.03
% 0.82/1.03 number of learnt formulas = 32
% 0.82/1.03
% 0.82/1.03
% 0.82/1.03 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.82/1.03
% 0.82/1.03 randbase = 1
%------------------------------------------------------------------------------