TSTP Solution File: SEU314+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU314+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 0.56s 0.78s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU314+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 : n029.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 19:37:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.78 GeoParameters:
% 0.56/0.78
% 0.56/0.78 tptp_input = 1
% 0.56/0.78 tptp_output = 0
% 0.56/0.78 nonempty = 1
% 0.56/0.78 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.78 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.56/0.78
% 0.56/0.78
% 0.56/0.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.78
% 0.56/0.78 RuleSystem INPUT:
% 0.56/0.78
% 0.56/0.78 Initial Rules:
% 0.56/0.78 #0: input, references = 4, size of lhs = 0:
% 0.56/0.78 FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #1: input, references = 4, size of lhs = 3:
% 0.56/0.78 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | EXISTS V3: pppp3-{T}(V0,V3,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #2: input, references = 4, size of lhs = 3:
% 0.56/0.78 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | top_str-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #3: input, references = 4, size of lhs = 3:
% 0.56/0.78 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | topological_space-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #4: input, references = 4, size of lhs = 2:
% 0.56/0.78 pppp3-{F}(V0,V1,V2), #-{F} V3 | EXISTS V4: pppp2-{T}(V0,V1,V4,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #5: input, references = 4, size of lhs = 1:
% 0.56/0.78 pppp3-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #6: input, references = 6, size of lhs = 3:
% 0.56/0.78 pppp2-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V2), in-{F}(V2,V3) | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #7: input, references = 7, size of lhs = 1:
% 0.56/0.78 pppp2-{F}(V0,V1,V2,V3) | in-{T}(V2,V3), pppp0-{T}(V0,V1,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #8: input, references = 5, size of lhs = 3:
% 0.56/0.78 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), pppp0-{F}(V0,V1,V2) | in-{T}(V2,V4)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #9: input, references = 4, size of lhs = 3:
% 0.56/0.78 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), pppp0-{F}(V0,V1,V2) | subset-{T}(V1,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #10: input, references = 4, size of lhs = 3:
% 0.56/0.78 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), pppp0-{F}(V0,V1,V2) | EXISTS V5: pppp5-{T}(V0,V2,V5,V4)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #11: input, references = 4, size of lhs = 6:
% 0.56/0.78 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) | pppp0-{T}(V0,V1,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #12: input, references = 4, size of lhs = 1:
% 0.56/0.78 pppp5-{F}(V0,V1,V2,V3) | closed_subset-{T}(V2,V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #13: input, references = 4, size of lhs = 2:
% 0.56/0.78 pppp5-{F}(V0,V1,V2,V3), V2 == V1 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #14: input, references = 4, size of lhs = 1:
% 0.56/0.78 pppp5-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #15: input, references = 3, size of lhs = 1:
% 0.56/0.78 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #16: input, references = 3, size of lhs = 1:
% 0.56/0.78 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #17: input, references = 3, size of lhs = 1:
% 0.56/0.78 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #18: input, references = 3, size of lhs = 1:
% 0.56/0.78 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #19: input, references = 3, size of lhs = 0:
% 0.56/0.78 FALSE | EXISTS V0: pppp7-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #20: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp7-{F}(V0) | pppp6-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #21: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp6-{F}(V0) | v5_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #22: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp6-{F}(V0) | v4_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #23: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp6-{F}(V0) | v3_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #24: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp6-{F}(V0) | v2_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #25: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp6-{F}(V0) | v1_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #26: input, references = 3, size of lhs = 2:
% 0.56/0.78 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #27: input, references = 3, size of lhs = 2:
% 0.56/0.78 v1_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #28: input, references = 3, size of lhs = 2:
% 0.56/0.78 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #29: input, references = 3, size of lhs = 2:
% 0.56/0.78 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #30: input, references = 3, size of lhs = 2:
% 0.56/0.78 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #31: input, references = 3, size of lhs = 2:
% 0.56/0.78 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #32: input, references = 3, size of lhs = 2:
% 0.56/0.78 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #33: input, references = 3, size of lhs = 2:
% 0.56/0.78 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #34: input, references = 3, size of lhs = 2:
% 0.56/0.78 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #35: input, references = 3, size of lhs = 2:
% 0.56/0.78 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_int_1-{T}(V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #36: input, references = 3, size of lhs = 2:
% 0.56/0.78 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #37: input, references = 3, size of lhs = 2:
% 0.56/0.78 v5_membered-{F}(V0), element-{F}(V1,V0) | pppp8-{T}(V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #38: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp8-{F}(V0) | v1_rat_1-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #39: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp8-{F}(V0) | v1_int_1-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #40: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp8-{F}(V0) | v1_xreal_0-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #41: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp8-{F}(V0) | natural-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #42: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp8-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #43: input, references = 3, size of lhs = 3:
% 0.56/0.78 P_powerset-{F}(V0,V1), v1_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #44: input, references = 3, size of lhs = 3:
% 0.56/0.78 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #45: input, references = 3, size of lhs = 3:
% 0.56/0.78 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #46: input, references = 3, size of lhs = 3:
% 0.56/0.78 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #47: input, references = 3, size of lhs = 3:
% 0.56/0.78 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #48: input, references = 3, size of lhs = 3:
% 0.56/0.78 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #49: input, references = 3, size of lhs = 3:
% 0.56/0.78 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #50: input, references = 3, size of lhs = 3:
% 0.56/0.78 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #51: input, references = 3, size of lhs = 3:
% 0.56/0.78 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #52: input, references = 3, size of lhs = 3:
% 0.56/0.78 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v4_membered-{T}(V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #53: input, references = 3, size of lhs = 3:
% 0.56/0.78 P_powerset-{F}(V0,V1), v5_membered-{F}(V0), element-{F}(V2,V1) | pppp9-{T}(V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #54: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp9-{F}(V0) | v5_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #55: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp9-{F}(V0) | v4_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #56: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp9-{F}(V0) | v3_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #57: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp9-{F}(V0) | v2_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #58: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp9-{F}(V0) | v1_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #59: input, references = 4, size of lhs = 1:
% 0.56/0.78 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp22-{T}(V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #60: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp22-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #61: input, references = 3, size of lhs = 2:
% 0.56/0.78 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #62: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #63: input, references = 3, size of lhs = 1:
% 0.56/0.78 P_powerset-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V2,V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #64: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp11-{F}(V0,V1) | empty-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #65: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #66: input, references = 3, size of lhs = 1:
% 0.56/0.78 empty-{F}(V0) | pppp12-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #67: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp12-{F}(V0) | v5_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #68: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp12-{F}(V0) | v4_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #69: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp12-{F}(V0) | v3_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #70: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp12-{F}(V0) | v2_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #71: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp12-{F}(V0) | v1_membered-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #72: input, references = 3, size of lhs = 1:
% 0.56/0.78 #-{F} V0 | subset-{T}(V0,V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #73: input, references = 3, size of lhs = 2:
% 0.56/0.78 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #74: input, references = 3, size of lhs = 1:
% 0.56/0.78 top_str-{F}(V0) | one_sorted_str-{T}(V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #75: input, references = 3, size of lhs = 4:
% 0.56/0.78 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0) | EXISTS V3: pppp13-{T}(V0,V3,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #76: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp13-{F}(V0,V1,V2) | closed_subset-{T}(V1,V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #77: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp13-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #78: input, references = 3, size of lhs = 2:
% 0.56/0.78 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #79: input, references = 4, size of lhs = 5:
% 0.56/0.78 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0), element-{F}(V3,V2) | pppp23-{T}(V0,V3,V2), pppp24-{T}(V0,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #80: input, references = 4, size of lhs = 1:
% 0.56/0.78 pppp23-{F}(V0,V1,V2) | EXISTS V3: pppp18-{T}(V0,V1,V3,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #81: input, references = 4, size of lhs = 1:
% 0.56/0.78 pppp24-{F}(V0,V1) | EXISTS V2: pppp19-{T}(V0,V1,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #82: input, references = 4, size of lhs = 2:
% 0.56/0.78 pppp19-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #83: input, references = 4, size of lhs = 2:
% 0.56/0.78 pppp19-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp1-{T}(V0,V1,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #84: input, references = 4, size of lhs = 1:
% 0.56/0.78 pppp18-{F}(V0,V1,V2,V3) | EXISTS V4: pppp17-{T}(V0,V1,V4,V2,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #85: input, references = 4, size of lhs = 1:
% 0.56/0.78 pppp18-{F}(V0,V1,V2,V3) | EXISTS V4: pppp14-{T}(V0,V2,V4,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #86: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp18-{F}(V0,V1,V2,V3) | subset-{T}(V1,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #87: input, references = 4, size of lhs = 1:
% 0.56/0.78 pppp17-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp16-{T}(V2,V5,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #88: input, references = 4, size of lhs = 1:
% 0.56/0.78 pppp17-{F}(V0,V1,V3,V3,V4) | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #89: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp17-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp15-{T}(V0,V2,V5,V4)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #90: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp17-{F}(V0,V1,V2,V3,V4) | subset-{T}(V1,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #91: input, references = 4, size of lhs = 2:
% 0.56/0.78 pppp16-{F}(V0,V1,V2), V1 == V2 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #92: input, references = 4, size of lhs = 2:
% 0.56/0.78 pppp16-{F}(V0,V1,V2), V1 == V0 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #93: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp15-{F}(V0,V1,V2,V3) | closed_subset-{T}(V2,V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #94: input, references = 3, size of lhs = 2:
% 0.56/0.78 pppp15-{F}(V0,V1,V2,V3), V2 == V1 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #95: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp15-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #96: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp14-{F}(V0,V1,V2,V3) | closed_subset-{T}(V2,V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #97: input, references = 4, size of lhs = 2:
% 0.56/0.78 pppp14-{F}(V0,V1,V2,V3), V2 == V1 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #98: input, references = 3, size of lhs = 1:
% 0.56/0.78 pppp14-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #99: input, references = 4, size of lhs = 3:
% 0.56/0.78 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), pppp1-{F}(V0,V1,V2) | subset-{T}(V1,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #100: input, references = 4, size of lhs = 3:
% 0.56/0.78 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), pppp1-{F}(V0,V1,V2) | EXISTS V5: pppp20-{T}(V0,V2,V5,V4)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #101: input, references = 4, size of lhs = 3:
% 0.56/0.78 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), pppp1-{F}(V0,V1,V2) | EXISTS V5: pppp21-{T}(V2,V5,V4)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #102: input, references = 4, size of lhs = 6:
% 0.56/0.78 P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V4), subset-{F}(V1,V2), element-{F}(V2,V4), closed_subset-{F}(V2,V0), in-{F}(V2,V4) | pppp1-{T}(V0,V1,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #103: input, references = 4, size of lhs = 2:
% 0.56/0.78 pppp21-{F}(V0,V1,V2), V1 == V0 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #104: input, references = 4, size of lhs = 1:
% 0.56/0.78 pppp21-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #105: input, references = 4, size of lhs = 1:
% 0.56/0.78 pppp20-{F}(V0,V1,V2,V3) | closed_subset-{T}(V2,V0)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #106: input, references = 4, size of lhs = 2:
% 0.56/0.78 pppp20-{F}(V0,V1,V2,V3), V2 == V1 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #107: input, references = 4, size of lhs = 1:
% 0.56/0.78 pppp20-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #108: input, references = 4, size of lhs = 1:
% 0.56/0.78 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #109: input, references = 4, size of lhs = 1:
% 0.56/0.78 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 number of initial rules = 110
% 0.56/0.78
% 0.56/0.78 Simplifiers:
% 0.56/0.78 #110: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 topological_space-{F}(V0), topological_space-{F}(V1), V0 == V1 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #111: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 top_str-{F}(V0), top_str-{F}(V1), V0 == V1 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #112: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 closed_subset-{F}(V0,V1), closed_subset-{F}(V2,V3), V1 == V3 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #113: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 one_sorted_str-{F}(V0), one_sorted_str-{F}(V1), V0 == V1 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #114: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #115: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #116: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #117: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #118: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #119: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #120: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #121: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #122: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #123: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #124: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #125: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #126: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #127: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #128: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #129: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #130: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #131: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #132: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #133: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #134: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #135: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #136: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp17-{F}(V0,V1,V2,V3,V4), pppp17-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #137: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp17-{F}(V0,V1,V2,V3,V4), pppp17-{F}(V0,V1,V7,V8,V4), V3 == V8 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #138: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp17-{F}(V0,V1,V2,V3,V4), pppp17-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #139: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp18-{F}(V0,V1,V2,V3), pppp18-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #140: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp18-{F}(V0,V1,V2,V3), pppp18-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #141: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #142: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp19-{F}(V0,V1,V2), pppp19-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #143: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #144: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #145: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #146: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #147: unsound, references = 3, size of lhs = 3:
% 0.56/0.78 pppp24-{F}(V0,V1), pppp24-{F}(V2,V3), V0 == V2 | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 number of simplifiers = 38
% 0.56/0.78
% 0.56/0.78 Learnt:
% 0.56/0.78 #149: disj( #59, input ), references = 1, size of lhs = 2:
% 0.56/0.78 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp22-{T}(V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #154: disj( #7, #8+#6 ), references = 1, size of lhs = 4:
% 0.56/0.78 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp2-{F}(V0,V3,V4,V2), pppp2-{F}(V0,V3,V4,V5) | in-{T}(V4,V5)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #159: disj( #7, input ), references = 1, size of lhs = 1:
% 0.56/0.78 pppp2-{F}(V0,V1,V2,V2) | pppp0-{T}(V0,V1,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #163: exists( #10, #13 ), references = 2, size of lhs = 3:
% 0.56/0.78 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp0-{F}(V0,V3,V4) | pppp5-{T}(V0,V4,V4,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #167: exists( #100, #106 ), references = 2, size of lhs = 3:
% 0.56/0.78 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp1-{F}(V0,V3,V4) | pppp20-{T}(V0,V4,V4,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #171: exists( #101, #103 ), references = 2, size of lhs = 3:
% 0.56/0.78 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp1-{F}(V0,V3,V4) | pppp21-{T}(V4,V4,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #180: disj( #7, input ), references = 1, size of lhs = 2:
% 0.56/0.78 in-{F}(V0,V1), pppp2-{F}(V2,V3,V1,V0) | pppp0-{T}(V2,V3,V1)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #203: mergings( V4 == V6, V6 == V7, V7 == V8, V5 == V9; #198 ), references = 1, size of lhs = 5:
% 0.56/0.78 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp19-{F}(V0,V3,V4), pppp2-{F}(V0,V3,V5,V4), pppp2-{F}(V0,V3,V5,V6) | in-{T}(V5,V6)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #224: mergings( V5 == V7, V7 == V8, V8 == V9, V6 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V14, V13 == V15, V15 == V16; #213 ), references = 1, size of lhs = 4:
% 0.56/0.78 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp3-{F}(V0,V3,V4), pppp19-{F}(V0,V3,V5) | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #236: mergings( V3 == V5, V5 == V6, V6 == V7, V4 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V13 == V14; #225 ), references = 1, size of lhs = 4:
% 0.56/0.78 pppp24-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), pppp3-{F}(V0,V1,V4) | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #250: mergings( V1 == V4, V2 == V5, V4 == V6, V6 == V7, V7 == V8, V5 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V14, V14 == V15; #237 ), references = 2, size of lhs = 6:
% 0.56/0.78 topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp3-{F}(V0,V3,V4) | pppp23-{T}(V0,V3,V2)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #259: exists( #85, #97 ), references = 1, size of lhs = 1:
% 0.56/0.78 pppp18-{F}(V0,V1,V2,V3) | pppp14-{T}(V0,V2,V2,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #261: exists( #87, #91 ), references = 1, size of lhs = 1:
% 0.56/0.78 pppp17-{F}(V0,V1,V2,V3,V4) | pppp16-{T}(V2,V3,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #264: exists( #84, #262 ), references = 1, size of lhs = 1:
% 0.56/0.78 pppp18-{F}(V0,V1,V2,V3) | pppp17-{T}(V0,V1,V2,V2,V3)
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #267: exists( #80, #265 ), references = 2, size of lhs = 1:
% 0.56/0.78 pppp23-{F}(V0,V1,V2) | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #273: mergings( V1 == V4; #271 ), references = 2, size of lhs = 5:
% 0.56/0.78 pppp4-{F}(V0), topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #284: exists( #108, #282 ), references = 1, size of lhs = 2:
% 0.56/0.78 pppp4-{F}(V0), P_the_carrier-{F}(V0,V1) | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #286: exists( #109, #283 ), references = 1, size of lhs = 1:
% 0.56/0.78 pppp4-{F}(V0) | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 #288: exists( #0, #285 ), references = 1, size of lhs = 0:
% 0.56/0.78 FALSE | FALSE
% 0.56/0.78 (used 0 times, uses = {})
% 0.56/0.78
% 0.56/0.78 number of learnt formulas = 19
% 0.56/0.78
% 0.56/0.78
% 0.56/0.78 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.78
% 0.56/0.78 randbase = 1
%------------------------------------------------------------------------------