TSTP Solution File: SEU121+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n014.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 06:17:14 EDT 2022

% Result   : Theorem 0.18s 0.41s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n014.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 19:29:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.41  GeoParameters:
% 0.18/0.41  
% 0.18/0.41  tptp_input =     1
% 0.18/0.41  tptp_output =    0
% 0.18/0.41  nonempty =       1
% 0.18/0.41  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41  
% 0.18/0.41  RuleSystem INPUT:
% 0.18/0.41  
% 0.18/0.41  Initial Rules:
% 0.18/0.41  #0: input, references = 4, size of lhs = 2:
% 0.18/0.41     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #1: input, references = 5, size of lhs = 1:
% 0.18/0.41     subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #2: input, references = 5, size of lhs = 1:
% 0.18/0.41     pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #3: input, references = 10, size of lhs = 2:
% 0.18/0.41     pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #4: input, references = 7, size of lhs = 2:
% 0.18/0.41     #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp7-{T}(V0,V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #5: input, references = 5, size of lhs = 1:
% 0.18/0.41     pppp7-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V1,V2)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #6: input, references = 5, size of lhs = 2:
% 0.18/0.41     pppp1-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #7: input, references = 5, size of lhs = 1:
% 0.18/0.41     pppp1-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #8: input, references = 3, size of lhs = 1:
% 0.18/0.41     P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #9: input, references = 4, size of lhs = 1:
% 0.18/0.41     P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #10: input, references = 5, size of lhs = 1:
% 0.18/0.41     pppp2-{F}(V0) | empty-{T}(V0)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #11: input, references = 3, size of lhs = 1:
% 0.18/0.41     P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #12: input, references = 3, size of lhs = 2:
% 0.18/0.41     pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #13: input, references = 3, size of lhs = 2:
% 0.18/0.41     P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #14: input, references = 4, size of lhs = 1:
% 0.18/0.41     P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #15: input, references = 4, size of lhs = 1:
% 0.18/0.41     pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #16: input, references = 4, size of lhs = 1:
% 0.18/0.41     pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #17: input, references = 4, size of lhs = 1:
% 0.18/0.41     pppp5-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #18: input, references = 5, size of lhs = 2:
% 0.18/0.41     pppp4-{F}(V0,V1,V2), subset-{F}(V0,V2) | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #19: input, references = 4, size of lhs = 1:
% 0.18/0.41     pppp4-{F}(V0,V1,V2) | subset-{T}(V0,V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #20: input, references = 4, size of lhs = 3:
% 0.18/0.41     P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #21: input, references = 4, size of lhs = 3:
% 0.18/0.41     P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #22: input, references = 4, size of lhs = 4:
% 0.18/0.41     P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #23: input, references = 4, size of lhs = 0:
% 0.18/0.41     FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  number of initial rules = 24
% 0.18/0.41  
% 0.18/0.41  Simplifiers:
% 0.18/0.41  #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.41     P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.41     pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.41     pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.41     pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.41     pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.41     pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.41     pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.41     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.41     pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.41     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  number of simplifiers = 10
% 0.18/0.41  
% 0.18/0.41  Learnt:
% 0.18/0.41  #39: exists( #5, #37 ), references = 1, size of lhs = 4:
% 0.18/0.41     P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V2,V1), pppp7-{F}(V2,V3) | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #41: disj( #4, exists( #5, #37 ) ), references = 2, size of lhs = 4:
% 0.18/0.41     P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V2,V1), #-{F} V3 | pppp0-{T}(V2,V3)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #47: mergings( V0 == V2; #44 ), references = 1, size of lhs = 1:
% 0.18/0.41     P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #49: mergings( V0 == V2; #45 ), references = 1, size of lhs = 2:
% 0.18/0.41     P_empty_set-{F}(V0), empty-{F}(V1) | pppp2-{T}(V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #56: disj( #4, #41+#2+#18 ), references = 1, size of lhs = 3:
% 0.18/0.41     P_empty_set-{F}(V0), empty-{F}(V1), pppp4-{F}(V2,V3,V4) | pppp7-{T}(V2,V1)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #63: disj( #4, #3+#3+#0 ), references = 1, size of lhs = 2:
% 0.18/0.41     pppp0-{F}(V0,V1), in-{F}(V1,V2) | pppp7-{T}(V2,V0)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #64: disj( #4, #3+#3+#6 ), references = 1, size of lhs = 3:
% 0.18/0.41     pppp0-{F}(V0,V1), pppp1-{F}(V2,V1,V3), in-{F}(V3,V4) | pppp7-{T}(V4,V0)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #67: disj( #4, #2+#18 ), references = 1, size of lhs = 1:
% 0.18/0.41     pppp4-{F}(V0,V1,V2) | pppp7-{T}(V0,V2)
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #76: exists( #5, #74 ), references = 1, size of lhs = 3:
% 0.18/0.41     pppp7-{F}(V0,V1), pppp0-{F}(V0,V2), pppp0-{F}(V2,V1) | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #81: exists( #16, #79 ), references = 2, size of lhs = 2:
% 0.18/0.41     pppp5-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #89: exists( #15, #85 ), references = 1, size of lhs = 1:
% 0.18/0.41     pppp6-{F}(V0) | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #91: exists( #14, #88 ), references = 1, size of lhs = 1:
% 0.18/0.41     P_empty_set-{F}(V0) | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  #93: exists( #23, #90 ), references = 1, size of lhs = 0:
% 0.18/0.41     FALSE | FALSE
% 0.18/0.41        (used 0 times, uses = {})
% 0.18/0.41  
% 0.18/0.41  number of learnt formulas = 13
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41  
% 0.18/0.41  randbase = 1
%------------------------------------------------------------------------------