TSTP Solution File: SEU320+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n017.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 0.18s 0.39s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n017.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 18:58:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.39  GeoParameters:
% 0.18/0.39  
% 0.18/0.39  tptp_input =     1
% 0.18/0.39  tptp_output =    0
% 0.18/0.39  nonempty =       1
% 0.18/0.39  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  
% 0.18/0.39  RuleSystem INPUT:
% 0.18/0.39  
% 0.18/0.39  Initial Rules:
% 0.18/0.39  #0: input, references = 4, size of lhs = 3:
% 0.18/0.39     P_powerset-{F}(V0,V2), P_subset_complement-{F}(V0,V1,V3), element-{F}(V1,V2) | element-{T}(V3,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #1: input, references = 3, size of lhs = 1:
% 0.18/0.39     top_str-{F}(V0) | one_sorted_str-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #2: input, references = 3, size of lhs = 0:
% 0.18/0.39     FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #3: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp0-{F}(V0) | top_str-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #4: input, references = 3, size of lhs = 0:
% 0.18/0.39     FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #5: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp1-{F}(V0) | one_sorted_str-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #6: input, references = 3, size of lhs = 1:
% 0.18/0.39     #-{F} V0 | EXISTS V1: pppp2-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #7: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #8: input, references = 4, size of lhs = 5:
% 0.18/0.39     P_powerset-{F}(V0,V2), P_subset_complement-{F}(V0,V1,V3), P_subset_complement-{F}(V0,V3,V4), element-{F}(V1,V2), V4 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #9: input, references = 3, size of lhs = 1:
% 0.18/0.39     #-{F} V0 | subset-{T}(V0,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #10: input, references = 4, size of lhs = 6:
% 0.18/0.39     P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), top_str-{F}(V0), P_subset_complement-{F}(V1,V3,V4), element-{F}(V3,V2), closed_subset-{F}(V3,V0) | open_subset-{T}(V4,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #11: input, references = 4, size of lhs = 6:
% 0.18/0.39     P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), top_str-{F}(V0), P_subset_complement-{F}(V1,V3,V4), element-{F}(V3,V2), open_subset-{F}(V4,V0) | closed_subset-{T}(V3,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #12: input, references = 4, size of lhs = 0:
% 0.18/0.39     FALSE | EXISTS V0: pppp5-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #13: input, references = 4, size of lhs = 3:
% 0.18/0.39     pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #14: input, references = 4, size of lhs = 3:
% 0.18/0.39     pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | top_str-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #15: input, references = 4, size of lhs = 2:
% 0.18/0.39     pppp4-{F}(V0,V1,V2,V3), P_subset_complement-{F}(V1,V3,V4) | pppp3-{T}(V3,V0,V2,V4)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #16: input, references = 5, size of lhs = 3:
% 0.18/0.39     pppp3-{F}(V0,V1,V2,V3), closed_subset-{F}(V3,V1), open_subset-{F}(V0,V1) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #17: input, references = 4, size of lhs = 1:
% 0.18/0.39     pppp3-{F}(V0,V1,V2,V3) | open_subset-{T}(V0,V1), closed_subset-{T}(V3,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #18: input, references = 4, size of lhs = 1:
% 0.18/0.39     pppp3-{F}(V0,V1,V2,V3) | element-{T}(V0,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #19: input, references = 3, size of lhs = 2:
% 0.18/0.39     P_powerset-{F}(V1,V2), element-{F}(V0,V2) | subset-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #20: input, references = 3, size of lhs = 2:
% 0.18/0.39     P_powerset-{F}(V1,V2), subset-{F}(V0,V1) | element-{T}(V0,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #21: input, references = 4, size of lhs = 1:
% 0.18/0.39     #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #22: input, references = 5, size of lhs = 2:
% 0.18/0.39     #-{F} V0, #-{F} V1 | EXISTS V2: P_subset_complement-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #23: input, references = 4, size of lhs = 1:
% 0.18/0.39     #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  number of initial rules = 24
% 0.18/0.39  
% 0.18/0.39  Simplifiers:
% 0.18/0.39  #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     closed_subset-{F}(V0,V1), closed_subset-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     open_subset-{F}(V0,V1), open_subset-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_subset_complement-{F}(V0,V1,V2), P_subset_complement-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  number of simplifiers = 14
% 0.18/0.39  
% 0.18/0.39  Learnt:
% 0.18/0.39  #39: exists( #22, #8 ), references = 2, size of lhs = 3:
% 0.18/0.39     P_powerset-{F}(V0,V1), element-{F}(V2,V1), P_subset_complement-{F}(V0,V2,V3) | P_subset_complement-{T}(V0,V3,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #42: disj( #17, #10+#16 ), references = 2, size of lhs = 7:
% 0.18/0.39     top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_subset_complement-{F}(V1,V3,V4), pppp3-{F}(V4,V0,V5,V3), pppp3-{F}(V6,V0,V7,V3) | open_subset-{T}(V6,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #55: exists( #22, #53 ), references = 1, size of lhs = 4:
% 0.18/0.39     top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp4-{F}(V0,V1,V2,V3) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #57: exists( #13, #54 ), references = 2, size of lhs = 4:
% 0.18/0.39     pppp5-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #61: exists( #21, #59 ), references = 1, size of lhs = 2:
% 0.18/0.39     pppp5-{F}(V0), P_the_carrier-{F}(V0,V1) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #63: exists( #23, #60 ), references = 1, size of lhs = 1:
% 0.18/0.39     pppp5-{F}(V0) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #65: exists( #12, #62 ), references = 1, size of lhs = 0:
% 0.18/0.39     FALSE | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  number of learnt formulas = 7
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  
% 0.18/0.39  randbase = 1
%------------------------------------------------------------------------------