TSTP Solution File: SEU315+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU315+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:17:48 EDT 2022
% Result : Theorem 2.00s 2.23s
% Output : Refutation 2.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU315+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 18:40:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.00/2.23 GeoParameters:
% 2.00/2.23
% 2.00/2.23 tptp_input = 1
% 2.00/2.23 tptp_output = 0
% 2.00/2.23 nonempty = 1
% 2.00/2.23 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.00/2.23 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.00/2.23
% 2.00/2.23
% 2.00/2.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.00/2.23 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.00/2.23
% 2.00/2.23 RuleSystem INPUT:
% 2.00/2.23
% 2.00/2.23 Initial Rules:
% 2.00/2.23 #0: input, references = 4, size of lhs = 0:
% 2.00/2.23 FALSE | EXISTS V0: pppp5-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #1: input, references = 4, size of lhs = 4:
% 2.00/2.23 pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp4-{T}(V0,V4,V2,V3)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #2: input, references = 4, size of lhs = 4:
% 2.00/2.23 pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | top_str-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #3: input, references = 4, size of lhs = 4:
% 2.00/2.23 pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | topological_space-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #4: input, references = 6, size of lhs = 2:
% 2.00/2.23 pppp4-{F}(V0,V1,V2,V3), element-{F}(V4,V3) | EXISTS V5: pppp3-{T}(V0,V1,V4,V2,V5)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #5: input, references = 4, size of lhs = 1:
% 2.00/2.23 pppp4-{F}(V0,V1,V2,V3) | element-{T}(V1,V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #6: input, references = 7, size of lhs = 1:
% 2.00/2.23 pppp3-{F}(V0,V1,V2,V3,V4) | pppp2-{T}(V0,V1,V2,V4,V3)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #7: input, references = 7, size of lhs = 3:
% 2.00/2.23 pppp2-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #8: input, references = 7, size of lhs = 1:
% 2.00/2.23 pppp2-{F}(V0,V1,V2,V3,V4) | in-{T}(V3,V2), pppp0-{T}(V0,V1,V3)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #9: input, references = 7, size of lhs = 1:
% 2.00/2.23 pppp2-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #10: input, references = 6, size of lhs = 3:
% 2.00/2.23 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), pppp0-{F}(V0,V1,V2) | subset-{T}(V1,V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #11: input, references = 4, size of lhs = 3:
% 2.00/2.23 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), pppp0-{F}(V0,V1,V2) | EXISTS V5: pppp6-{T}(V0,V2,V5,V4)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #12: input, references = 5, size of lhs = 5:
% 2.00/2.23 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), subset-{F}(V1,V2), element-{F}(V2,V4), closed_subset-{F}(V2,V0) | pppp0-{T}(V0,V1,V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #13: input, references = 6, size of lhs = 1:
% 2.00/2.23 pppp6-{F}(V0,V1,V2,V3) | closed_subset-{T}(V2,V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #14: input, references = 4, size of lhs = 2:
% 2.00/2.23 pppp6-{F}(V0,V1,V2,V3), V2 == V1 | FALSE
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #15: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp6-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #16: input, references = 3, size of lhs = 1:
% 2.00/2.23 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #17: input, references = 3, size of lhs = 1:
% 2.00/2.23 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #18: input, references = 3, size of lhs = 1:
% 2.00/2.23 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #19: input, references = 3, size of lhs = 1:
% 2.00/2.23 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #20: input, references = 3, size of lhs = 0:
% 2.00/2.23 FALSE | EXISTS V0: pppp8-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #21: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp8-{F}(V0) | pppp7-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #22: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp7-{F}(V0) | v5_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #23: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp7-{F}(V0) | v4_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #24: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp7-{F}(V0) | v3_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #25: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp7-{F}(V0) | v2_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #26: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp7-{F}(V0) | v1_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #27: input, references = 3, size of lhs = 2:
% 2.00/2.23 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #28: input, references = 3, size of lhs = 2:
% 2.00/2.23 v1_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #29: input, references = 3, size of lhs = 2:
% 2.00/2.23 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #30: input, references = 3, size of lhs = 2:
% 2.00/2.23 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #31: input, references = 3, size of lhs = 2:
% 2.00/2.23 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #32: input, references = 3, size of lhs = 2:
% 2.00/2.23 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #33: input, references = 3, size of lhs = 2:
% 2.00/2.23 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #34: input, references = 3, size of lhs = 2:
% 2.00/2.23 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #35: input, references = 3, size of lhs = 2:
% 2.00/2.23 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #36: input, references = 3, size of lhs = 2:
% 2.00/2.23 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_int_1-{T}(V1)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #37: input, references = 3, size of lhs = 2:
% 2.00/2.23 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #38: input, references = 3, size of lhs = 2:
% 2.00/2.23 v5_membered-{F}(V0), element-{F}(V1,V0) | pppp9-{T}(V1)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #39: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp9-{F}(V0) | v1_rat_1-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #40: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp9-{F}(V0) | v1_int_1-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #41: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp9-{F}(V0) | v1_xreal_0-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #42: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp9-{F}(V0) | natural-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #43: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp9-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #44: input, references = 3, size of lhs = 3:
% 2.00/2.23 P_powerset-{F}(V0,V1), v1_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #45: input, references = 3, size of lhs = 3:
% 2.00/2.23 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #46: input, references = 3, size of lhs = 3:
% 2.00/2.23 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #47: input, references = 3, size of lhs = 3:
% 2.00/2.23 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #48: input, references = 3, size of lhs = 3:
% 2.00/2.23 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #49: input, references = 3, size of lhs = 3:
% 2.00/2.23 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #50: input, references = 3, size of lhs = 3:
% 2.00/2.23 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #51: input, references = 3, size of lhs = 3:
% 2.00/2.23 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #52: input, references = 3, size of lhs = 3:
% 2.00/2.23 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #53: input, references = 3, size of lhs = 3:
% 2.00/2.23 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v4_membered-{T}(V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #54: input, references = 3, size of lhs = 3:
% 2.00/2.23 P_powerset-{F}(V0,V1), v5_membered-{F}(V0), element-{F}(V2,V1) | pppp10-{T}(V2)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #55: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp10-{F}(V0) | v5_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #56: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp10-{F}(V0) | v4_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #57: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp10-{F}(V0) | v3_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #58: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp10-{F}(V0) | v2_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #59: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp10-{F}(V0) | v1_membered-{T}(V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #60: input, references = 4, size of lhs = 1:
% 2.00/2.23 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp21-{T}(V1)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #61: input, references = 3, size of lhs = 1:
% 2.00/2.23 pppp21-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.23
% 2.00/2.23 #62: input, references = 3, size of lhs = 2:
% 2.00/2.23 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 2.00/2.23 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #63: input, references = 3, size of lhs = 1:
% 2.00/2.24 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #64: input, references = 4, size of lhs = 1:
% 2.00/2.24 P_powerset-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #65: input, references = 5, size of lhs = 1:
% 2.00/2.24 pppp12-{F}(V0,V1) | empty-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #66: input, references = 3, size of lhs = 1:
% 2.00/2.24 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #67: input, references = 3, size of lhs = 1:
% 2.00/2.24 empty-{F}(V0) | pppp13-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #68: input, references = 3, size of lhs = 1:
% 2.00/2.24 pppp13-{F}(V0) | v5_membered-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #69: input, references = 3, size of lhs = 1:
% 2.00/2.24 pppp13-{F}(V0) | v4_membered-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #70: input, references = 3, size of lhs = 1:
% 2.00/2.24 pppp13-{F}(V0) | v3_membered-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #71: input, references = 3, size of lhs = 1:
% 2.00/2.24 pppp13-{F}(V0) | v2_membered-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #72: input, references = 3, size of lhs = 1:
% 2.00/2.24 pppp13-{F}(V0) | v1_membered-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #73: input, references = 3, size of lhs = 1:
% 2.00/2.24 #-{F} V0 | subset-{T}(V0,V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #74: input, references = 4, size of lhs = 2:
% 2.00/2.24 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #75: input, references = 3, size of lhs = 1:
% 2.00/2.24 top_str-{F}(V0) | one_sorted_str-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #76: input, references = 3, size of lhs = 4:
% 2.00/2.24 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0) | EXISTS V3: pppp14-{T}(V0,V3,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #77: input, references = 3, size of lhs = 1:
% 2.00/2.24 pppp14-{F}(V0,V1,V2) | closed_subset-{T}(V1,V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #78: input, references = 3, size of lhs = 1:
% 2.00/2.24 pppp14-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #79: input, references = 4, size of lhs = 2:
% 2.00/2.24 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #80: input, references = 4, size of lhs = 5:
% 2.00/2.24 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0), element-{F}(V3,V2) | EXISTS V4: pppp15-{T}(V0,V3,V4)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #81: input, references = 6, size of lhs = 2:
% 2.00/2.24 pppp15-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #82: input, references = 7, size of lhs = 2:
% 2.00/2.24 pppp15-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp1-{T}(V0,V1,V3)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #83: input, references = 4, size of lhs = 3:
% 2.00/2.24 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), pppp1-{F}(V0,V1,V2) | in-{T}(V2,V4)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #84: input, references = 5, size of lhs = 3:
% 2.00/2.24 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), pppp1-{F}(V0,V1,V2) | subset-{T}(V1,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #85: input, references = 4, size of lhs = 3:
% 2.00/2.24 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), pppp1-{F}(V0,V1,V2) | EXISTS V5: pppp16-{T}(V0,V2,V5,V4)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #86: input, references = 6, size of lhs = 6:
% 2.00/2.24 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), in-{F}(V2,V4), subset-{F}(V1,V2), element-{F}(V2,V4), closed_subset-{F}(V2,V0) | pppp1-{T}(V0,V1,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #87: input, references = 5, size of lhs = 1:
% 2.00/2.24 pppp16-{F}(V0,V1,V2,V3) | closed_subset-{T}(V2,V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #88: input, references = 4, size of lhs = 2:
% 2.00/2.24 pppp16-{F}(V0,V1,V2,V3), V2 == V1 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #89: input, references = 3, size of lhs = 1:
% 2.00/2.24 pppp16-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #90: input, references = 5, size of lhs = 1:
% 2.00/2.24 element-{F}(V1,V0) | empty-{T}(V0), in-{T}(V1,V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #91: input, references = 4, size of lhs = 1:
% 2.00/2.24 in-{F}(V1,V0) | empty-{T}(V0), element-{T}(V1,V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #92: input, references = 5, size of lhs = 2:
% 2.00/2.24 empty-{F}(V0), element-{F}(V1,V0) | empty-{T}(V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #93: input, references = 3, size of lhs = 2:
% 2.00/2.24 empty-{F}(V0), empty-{F}(V1) | element-{T}(V1,V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #94: input, references = 4, size of lhs = 1:
% 2.00/2.24 #-{F} V0 | EXISTS V1: pppp17-{T}(V0,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #95: input, references = 5, size of lhs = 1:
% 2.00/2.24 pppp17-{F}(V0,V1) | element-{T}(V1,V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #96: input, references = 3, size of lhs = 1:
% 2.00/2.24 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #97: input, references = 8, size of lhs = 3:
% 2.00/2.24 P_empty_set-{F}(V0), #-{F} V1, P_powerset-{F}(V2,V3) | pppp22-{T}(V1,V2), element-{T}(V1,V3)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #98: input, references = 5, size of lhs = 1:
% 2.00/2.24 pppp22-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #99: input, references = 6, size of lhs = 2:
% 2.00/2.24 pppp18-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #100: input, references = 5, size of lhs = 1:
% 2.00/2.24 pppp18-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #101: input, references = 4, size of lhs = 1:
% 2.00/2.24 P_empty_set-{F}(V0) | EXISTS V1: pppp19-{T}(V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #102: input, references = 5, size of lhs = 1:
% 2.00/2.24 pppp19-{F}(V0) | empty-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #103: input, references = 3, size of lhs = 1:
% 2.00/2.24 P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #104: input, references = 3, size of lhs = 2:
% 2.00/2.24 pppp20-{F}(V0), empty-{F}(V0) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #105: input, references = 6, size of lhs = 3:
% 2.00/2.24 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #106: input, references = 4, size of lhs = 3:
% 2.00/2.24 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #107: input, references = 6, size of lhs = 4:
% 2.00/2.24 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #108: input, references = 5, size of lhs = 1:
% 2.00/2.24 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #109: input, references = 4, size of lhs = 1:
% 2.00/2.24 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #110: input, references = 4, size of lhs = 0:
% 2.00/2.24 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 number of initial rules = 111
% 2.00/2.24
% 2.00/2.24 Simplifiers:
% 2.00/2.24 #111: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 topological_space-{F}(V0), topological_space-{F}(V1), V0 == V1 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #112: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 top_str-{F}(V0), top_str-{F}(V1), V0 == V1 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #113: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 closed_subset-{F}(V0,V1), closed_subset-{F}(V2,V3), V1 == V3 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #114: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 one_sorted_str-{F}(V0), one_sorted_str-{F}(V1), V0 == V1 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #115: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #116: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #117: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #118: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #119: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #120: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #121: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #122: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #123: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #124: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #125: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #126: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V2,V7), V3 == V7 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #127: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #128: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #129: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #130: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #131: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #132: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #133: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #134: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #135: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #136: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #137: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #138: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #139: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #140: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #141: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #142: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #143: unsound, references = 3, size of lhs = 3:
% 2.00/2.24 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 number of simplifiers = 33
% 2.00/2.24
% 2.00/2.24 Learnt:
% 2.00/2.24 #152: exists( #94, #147 ), references = 1, size of lhs = 2:
% 2.00/2.24 empty-{F}(V0), P_empty_set-{F}(V1) | pppp17-{T}(V0,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #153: exists( #94, #148 ), references = 1, size of lhs = 3:
% 2.00/2.24 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | pppp17-{T}(V0,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #160: mergings( V0 == V2; #157 ), references = 1, size of lhs = 1:
% 2.00/2.24 P_empty_set-{F}(V0) | pppp19-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #162: mergings( V0 == V2; #158 ), references = 1, size of lhs = 2:
% 2.00/2.24 P_empty_set-{F}(V0), empty-{F}(V1) | pppp19-{T}(V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #164: disj( #90, input ), references = 2, size of lhs = 1:
% 2.00/2.24 element-{F}(V0,V0) | empty-{T}(V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #177: disj( #97, #164+#79 ), references = 1, size of lhs = 3:
% 2.00/2.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2) | pppp22-{T}(V2,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #189: exists( #64, #184 ), references = 1, size of lhs = 2:
% 2.00/2.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp12-{T}(V0,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #190: exists( #64, #185 ), references = 1, size of lhs = 3:
% 2.00/2.24 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp12-{T}(V1,V3)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #194: disj( #90, input ), references = 7, size of lhs = 2:
% 2.00/2.24 element-{F}(V0,V1), P_powerset-{F}(V2,V1) | in-{T}(V0,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #195: disj( #90, input ), references = 1, size of lhs = 3:
% 2.00/2.24 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #197: mergings( V1 == V2; #193 ), references = 1, size of lhs = 4:
% 2.00/2.24 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #201: disj( #60, input ), references = 1, size of lhs = 2:
% 2.00/2.24 pppp7-{F}(V0), P_powerset-{F}(V0,V1) | pppp21-{T}(V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #202: disj( #60, input ), references = 1, size of lhs = 3:
% 2.00/2.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp21-{T}(V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #204: mergings( V0 == V2; #200 ), references = 1, size of lhs = 4:
% 2.00/2.24 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp21-{T}(V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #215: disj( #97, #194+#74 ), references = 1, size of lhs = 4:
% 2.00/2.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V2,V4) | pppp22-{T}(V4,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #245: disj( #91, input ), references = 1, size of lhs = 2:
% 2.00/2.24 in-{F}(V0,V1), P_powerset-{F}(V2,V1) | element-{T}(V0,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #246: disj( #91, input ), references = 1, size of lhs = 3:
% 2.00/2.24 P_empty_set-{F}(V0), in-{F}(V1,V2), V2 == V0 | element-{T}(V1,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #248: mergings( V1 == V2; #244 ), references = 1, size of lhs = 3:
% 2.00/2.24 P_empty_set-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V0) | element-{T}(V1,V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #274: exists( #98, #272 ), references = 1, size of lhs = 1:
% 2.00/2.24 pppp22-{F}(V0,V0) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #279: disj( #97, exists( #98, #272 ) ), references = 1, size of lhs = 2:
% 2.00/2.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | element-{T}(V1,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #313: exists( #11, #14 ), references = 4, size of lhs = 3:
% 2.00/2.24 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp0-{F}(V0,V3,V4) | pppp6-{T}(V0,V4,V4,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #320: exists( #85, #88 ), references = 3, size of lhs = 3:
% 2.00/2.24 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp1-{F}(V0,V3,V4) | pppp16-{T}(V0,V4,V4,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #361: disj( #8, input ), references = 3, size of lhs = 3:
% 2.00/2.24 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V3,V1,V4,V5) | pppp0-{T}(V2,V3,V4)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #362: disj( #8, input ), references = 1, size of lhs = 2:
% 2.00/2.24 in-{F}(V0,V1), pppp2-{F}(V2,V3,V0,V1,V4) | pppp0-{T}(V2,V3,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #363: disj( #8, input ), references = 1, size of lhs = 2:
% 2.00/2.24 pppp18-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V1,V2,V5) | pppp0-{T}(V3,V4,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #424: mergings( V8 == V9, V2 == V10, V9 == V11, V10 == V12; #418 ), references = 1, size of lhs = 8:
% 2.00/2.24 P_empty_set-{F}(V0), empty-{F}(V1), element-{F}(V1,V2), P_powerset-{F}(V3,V4), P_powerset-{F}(V5,V4), P_the_carrier-{F}(V6,V5), pppp4-{F}(V6,V7,V4,V2), pppp15-{F}(V6,V7,V1) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #430: mergings( V10 == V11, V2 == V12, V11 == V13, V12 == V14, V6 == V7; #419 ), references = 1, size of lhs = 9:
% 2.00/2.24 empty-{F}(V0), element-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V4,V5), P_powerset-{F}(V6,V5), P_the_carrier-{F}(V7,V6), pppp4-{F}(V7,V8,V5,V1), pppp15-{F}(V7,V8,V3) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #465: mergings( V6 == V7, V2 == V8, V7 == V9, V8 == V10; #460 ), references = 1, size of lhs = 6:
% 2.00/2.24 P_powerset-{F}(V0,V1), element-{F}(V1,V2), P_powerset-{F}(V3,V1), P_the_carrier-{F}(V4,V3), pppp4-{F}(V4,V5,V1,V2), pppp15-{F}(V4,V5,V1) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #481: disj( #97, #194+#99 ), references = 1, size of lhs = 4:
% 2.00/2.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), pppp18-{F}(V4,V2,V5) | pppp22-{T}(V5,V1)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #516: exists( #98, #514 ), references = 1, size of lhs = 4:
% 2.00/2.24 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp22-{F}(V3,V2), pppp15-{F}(V0,V4,V3) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #520: disj( #97, exists( #98, #514 ) ), references = 2, size of lhs = 5:
% 2.00/2.24 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), pppp15-{F}(V1,V5,V6) | element-{T}(V6,V4)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #575: disj( #8, input ), references = 1, size of lhs = 1:
% 2.00/2.24 pppp2-{F}(V0,V1,V2,V2,V3) | pppp0-{T}(V0,V1,V2)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #613: disj( #8, input ), references = 1, size of lhs = 3:
% 2.00/2.24 in-{F}(V0,V1), pppp2-{F}(V2,V3,V1,V0,V4), pppp2-{F}(V2,V3,V5,V0,V6) | in-{T}(V0,V5)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #671: mergings( V6 == V9, V5 == V10, V7 == V0, V0 == V11, V9 == V13, V10 == V14; #664 ), references = 1, size of lhs = 7:
% 2.00/2.24 element-{F}(V0,V1), P_powerset-{F}(V2,V1), P_the_carrier-{F}(V3,V2), pppp15-{F}(V3,V4,V5), pppp15-{F}(V3,V6,V5), pppp2-{F}(V3,V6,V5,V0,V7), pppp2-{F}(V3,V8,V5,V0,V9) | pppp0-{T}(V3,V8,V0)
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #692: mergings( V7 == V8, V2 == V9, V8 == V10, V10 == V11, V9 == V12, V11 == V13, V12 == V14, V0 == V16, V13 == V17, V14 == V18; #681 ), references = 2, size of lhs = 7:
% 2.00/2.24 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_the_carrier-{F}(V3,V2), pppp4-{F}(V3,V4,V1,V5), pppp15-{F}(V3,V4,V6), element-{F}(V6,V5), pppp15-{F}(V3,V7,V6) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #699: mergings( V1 == V6, V2 == V7, V6 == V11, V7 == V10; #694 ), references = 2, size of lhs = 9:
% 2.00/2.24 topological_space-{F}(V0), top_str-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), P_powerset-{F}(V3,V5), pppp4-{F}(V0,V4,V3,V5), P_powerset-{F}(V6,V3) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #703: mergings( V1 == V6; #701 ), references = 1, size of lhs = 8:
% 2.00/2.24 pppp5-{F}(V0), 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}(V3,V4), P_powerset-{F}(V5,V3) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #710: mergings( V3 == V4, V4 == V5, V5 == V7; #706 ), references = 2, size of lhs = 5:
% 2.00/2.24 pppp5-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V3) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #723: exists( #108, #710 ), references = 1, size of lhs = 3:
% 2.00/2.24 pppp5-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #725: exists( #109, #722 ), references = 1, size of lhs = 2:
% 2.00/2.24 pppp5-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #727: exists( #110, #724 ), references = 1, size of lhs = 1:
% 2.00/2.24 pppp5-{F}(V0) | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 #729: exists( #0, #726 ), references = 1, size of lhs = 0:
% 2.00/2.24 FALSE | FALSE
% 2.00/2.24 (used 0 times, uses = {})
% 2.00/2.24
% 2.00/2.24 number of learnt formulas = 42
% 2.00/2.24
% 2.00/2.24
% 2.00/2.24 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.00/2.24
% 2.00/2.24 randbase = 1
%------------------------------------------------------------------------------