TSTP Solution File: SEU314+1 by Geo-III---2018C

View Problem - 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
%------------------------------------------------------------------------------