TSTP Solution File: SET947+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n021.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 06:17:00 EDT 2022

% Result   : Theorem 0.18s 0.46s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n021.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 : Sat Jul 23 02:32:19 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  GeoParameters:
% 0.18/0.46  
% 0.18/0.46  tptp_input =     1
% 0.18/0.46  tptp_output =    0
% 0.18/0.46  nonempty =       1
% 0.18/0.46  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.46  
% 0.18/0.46  
% 0.18/0.46  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  
% 0.18/0.46  RuleSystem INPUT:
% 0.18/0.46  
% 0.18/0.46  Initial Rules:
% 0.18/0.46  #0: input, references = 3, size of lhs = 2:
% 0.18/0.46     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #1: input, references = 4, size of lhs = 1:
% 0.18/0.46     P_powerset-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #2: input, references = 3, size of lhs = 3:
% 0.18/0.46     P_powerset-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #3: input, references = 3, size of lhs = 2:
% 0.18/0.46     pppp0-{F}(V0,V1), in-{F}(V2,V1) | subset-{T}(V2,V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #4: input, references = 4, size of lhs = 2:
% 0.18/0.46     pppp0-{F}(V0,V1), subset-{F}(V2,V0) | in-{T}(V2,V1)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #5: input, references = 4, size of lhs = 2:
% 0.18/0.46     #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp7-{T}(V0,V1)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #6: input, references = 3, size of lhs = 1:
% 0.18/0.46     pppp7-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #7: input, references = 3, size of lhs = 3:
% 0.18/0.46     pppp2-{F}(V0,V1,V2), subset-{F}(V2,V0), in-{F}(V2,V1) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #8: input, references = 3, size of lhs = 1:
% 0.18/0.46     pppp2-{F}(V0,V1,V2) | in-{T}(V2,V1), subset-{T}(V2,V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #9: input, references = 3, size of lhs = 1:
% 0.18/0.46     subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #10: input, references = 4, size of lhs = 1:
% 0.18/0.46     pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #11: input, references = 3, size of lhs = 2:
% 0.18/0.46     pppp1-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #12: input, references = 4, size of lhs = 2:
% 0.18/0.46     #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp8-{T}(V0,V1)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #13: input, references = 4, size of lhs = 1:
% 0.18/0.46     pppp8-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #14: input, references = 4, size of lhs = 2:
% 0.18/0.46     pppp3-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #15: input, references = 4, size of lhs = 1:
% 0.18/0.46     pppp3-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #16: input, references = 4, size of lhs = 2:
% 0.18/0.46     P_union-{F}(V1,V2), in-{F}(V0,V1) | subset-{T}(V0,V2)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #17: input, references = 3, size of lhs = 0:
% 0.18/0.46     FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #18: input, references = 3, size of lhs = 1:
% 0.18/0.46     pppp4-{F}(V0) | empty-{T}(V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #19: input, references = 3, size of lhs = 0:
% 0.18/0.46     FALSE | EXISTS V0: pppp5-{T}(V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #20: input, references = 3, size of lhs = 2:
% 0.18/0.46     pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #21: input, references = 3, size of lhs = 1:
% 0.18/0.46     #-{F} V0 | subset-{T}(V0,V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #22: input, references = 4, size of lhs = 0:
% 0.18/0.46     FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #23: input, references = 4, size of lhs = 4:
% 0.18/0.46     pppp6-{F}(V0), P_union-{F}(V0,V1), P_powerset-{F}(V1,V2), subset-{F}(V0,V2) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #24: input, references = 4, size of lhs = 1:
% 0.18/0.46     #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #25: input, references = 4, size of lhs = 1:
% 0.18/0.46     #-{F} V0 | EXISTS V1: P_union-{T}(V0,V1)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  number of initial rules = 26
% 0.18/0.46  
% 0.18/0.46  Simplifiers:
% 0.18/0.46  #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     P_union-{F}(V0,V1), P_union-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  number of simplifiers = 8
% 0.18/0.46  
% 0.18/0.46  Learnt:
% 0.18/0.46  #37: disj( #5, input ), references = 1, size of lhs = 3:
% 0.18/0.46     P_powerset-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp7-{T}(V0,V2)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #56: exists( #13, #54 ), references = 1, size of lhs = 3:
% 0.18/0.46     pppp8-{F}(V0,V1), P_union-{F}(V0,V2), pppp0-{F}(V2,V1) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #58: disj( #12, exists( #13, #54 ) ), references = 2, size of lhs = 2:
% 0.18/0.46     P_union-{F}(V0,V1), pppp0-{F}(V1,V2) | pppp1-{T}(V0,V2)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #73: exists( #24, #71 ), references = 1, size of lhs = 2:
% 0.18/0.46     pppp6-{F}(V0), P_union-{F}(V0,V1) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #75: exists( #25, #72 ), references = 1, size of lhs = 1:
% 0.18/0.46     pppp6-{F}(V0) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #77: exists( #22, #74 ), references = 1, size of lhs = 0:
% 0.18/0.46     FALSE | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  number of learnt formulas = 6
% 0.18/0.46  
% 0.18/0.46  
% 0.18/0.46  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  
% 0.18/0.46  randbase = 1
%------------------------------------------------------------------------------