TSTP Solution File: SEU149+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU149+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n025.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 06:17:19 EDT 2022

% Result   : Theorem 34.55s 34.77s
% Output   : Refutation 34.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU149+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33  % Computer : n025.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri Jul 22 19:27:11 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 34.55/34.77  GeoParameters:
% 34.55/34.77  
% 34.55/34.77  tptp_input =     1
% 34.55/34.77  tptp_output =    0
% 34.55/34.77  nonempty =       1
% 34.55/34.77  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.55/34.77  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 34.55/34.77  
% 34.55/34.77  
% 34.55/34.77  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.55/34.77  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.55/34.77  
% 34.55/34.77  RuleSystem INPUT:
% 34.55/34.77  
% 34.55/34.77  Initial Rules:
% 34.55/34.77  #0: input, references = 4, size of lhs = 2:
% 34.55/34.77     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #1: input, references = 4, size of lhs = 3:
% 34.55/34.77     P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #2: input, references = 4, size of lhs = 1:
% 34.55/34.77     P_singleton-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #3: input, references = 3, size of lhs = 3:
% 34.55/34.77     P_singleton-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #4: input, references = 5, size of lhs = 3:
% 34.55/34.77     pppp0-{F}(V0,V1), in-{F}(V2,V1), V2 == V0 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #5: input, references = 4, size of lhs = 1:
% 34.55/34.77     pppp0-{F}(V0,V1) | in-{T}(V0,V1)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #6: input, references = 5, size of lhs = 2:
% 34.55/34.77     #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp8-{T}(V0,V1)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #7: input, references = 5, size of lhs = 1:
% 34.55/34.77     pppp8-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #8: input, references = 4, size of lhs = 2:
% 34.55/34.77     pppp3-{F}(V0,V1,V0), in-{F}(V0,V1) | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #9: input, references = 5, size of lhs = 2:
% 34.55/34.77     pppp3-{F}(V0,V1,V2), V2 == V0 | in-{T}(V2,V1)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #10: input, references = 6, size of lhs = 1:
% 34.55/34.77     P_unordered_pair-{F}(V0,V1,V3) | pppp2-{T}(V0,V1,V3)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #11: input, references = 3, size of lhs = 3:
% 34.55/34.77     P_unordered_pair-{F}(V0,V1,V3), pppp2-{F}(V0,V1,V2), V2 == V3 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #12: input, references = 5, size of lhs = 2:
% 34.55/34.77     pppp2-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp1-{T}(V0,V1,V3)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #13: input, references = 6, size of lhs = 2:
% 34.55/34.77     pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #14: input, references = 5, size of lhs = 3:
% 34.55/34.77     #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp9-{T}(V0,V1,V2)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #15: input, references = 5, size of lhs = 1:
% 34.55/34.77     pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #16: input, references = 3, size of lhs = 3:
% 34.55/34.77     pppp4-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #17: input, references = 4, size of lhs = 1:
% 34.55/34.77     pppp4-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp1-{T}(V0,V1,V3)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #18: input, references = 7, size of lhs = 3:
% 34.55/34.77     pppp1-{F}(V0,V1,V2), V2 == V0, V2 == V1 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #19: input, references = 4, size of lhs = 2:
% 34.55/34.77     #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1,V0)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #20: input, references = 3, size of lhs = 2:
% 34.55/34.77     #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1,V1)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #21: input, references = 4, size of lhs = 0:
% 34.55/34.77     FALSE | EXISTS V0: pppp7-{T}(V0)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #22: input, references = 4, size of lhs = 1:
% 34.55/34.77     pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #23: input, references = 4, size of lhs = 2:
% 34.55/34.77     pppp6-{F}(V0,V1), P_singleton-{F}(V0,V2) | EXISTS V3: pppp5-{T}(V1,V2,V3)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #24: input, references = 4, size of lhs = 2:
% 34.55/34.77     pppp6-{F}(V1,V1), P_singleton-{F}(V1,V2) | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #25: input, references = 4, size of lhs = 3:
% 34.55/34.77     pppp5-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V2,V3), V1 == V3 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #26: input, references = 6, size of lhs = 2:
% 34.55/34.77     #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #27: input, references = 5, size of lhs = 1:
% 34.55/34.77     #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  number of initial rules = 28
% 34.55/34.77  
% 34.55/34.77  Simplifiers:
% 34.55/34.77  #28: unsound, references = 3, size of lhs = 3:
% 34.55/34.77     P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #29: unsound, references = 3, size of lhs = 3:
% 34.55/34.77     P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #30: unsound, references = 3, size of lhs = 3:
% 34.55/34.77     pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #31: unsound, references = 3, size of lhs = 3:
% 34.55/34.77     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #32: unsound, references = 3, size of lhs = 3:
% 34.55/34.77     pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #33: unsound, references = 3, size of lhs = 3:
% 34.55/34.77     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #34: unsound, references = 3, size of lhs = 3:
% 34.55/34.77     pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #35: unsound, references = 3, size of lhs = 3:
% 34.55/34.77     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  number of simplifiers = 8
% 34.55/34.77  
% 34.55/34.77  Learnt:
% 34.55/34.77  #37: disj( #6, input ), references = 2, size of lhs = 3:
% 34.55/34.77     P_singleton-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp8-{T}(V0,V2)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #40: disj( #14, #13+#0 ), references = 1, size of lhs = 1:
% 34.55/34.77     pppp1-{F}(V0,V1,V2) | pppp9-{T}(V0,V1,V2)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #47: exists( #27, #24 ), references = 2, size of lhs = 1:
% 34.55/34.77     pppp6-{F}(V0,V0) | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #54: disj( #14, input ), references = 1, size of lhs = 3:
% 34.55/34.77     P_unordered_pair-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp9-{T}(V0,V1,V3)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #78: exists( #26, #1 ), references = 1, size of lhs = 1:
% 34.55/34.77     P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #94: exists( #7, #92 ), references = 1, size of lhs = 2:
% 34.55/34.77     pppp8-{F}(V0,V1), pppp2-{F}(V2,V3,V1) | pppp3-{T}(V0,V1,V0), pppp3-{T}(V0,V1,V2), pppp3-{T}(V0,V1,V3)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #96: disj( #93, input, input ), references = 1, size of lhs = 3:
% 34.55/34.77     pppp8-{F}(V0,V1), in-{F}(V0,V1), pppp2-{F}(V0,V2,V1) | pppp3-{T}(V0,V1,V2)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #102: exists( #26, #100 ), references = 1, size of lhs = 2:
% 34.55/34.77     pppp1-{F}(V0,V0,V0), P_singleton-{F}(V0,V1) | P_unordered_pair-{T}(V0,V0,V1)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #123: disj( #17, input ), references = 2, size of lhs = 3:
% 34.55/34.77     pppp0-{F}(V0,V1), pppp4-{F}(V2,V3,V1,V4), V4 == V0 | pppp1-{T}(V2,V3,V4)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #124: disj( #17, input ), references = 1, size of lhs = 2:
% 34.55/34.77     in-{F}(V0,V1), pppp4-{F}(V2,V3,V0,V1) | pppp1-{T}(V2,V3,V1)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #127: exists( #15, #125 ), references = 1, size of lhs = 2:
% 34.55/34.77     pppp0-{F}(V0,V1), pppp9-{F}(V2,V3,V1) | pppp4-{T}(V2,V3,V1,V0), pppp4-{T}(V2,V3,V1,V2), pppp4-{T}(V2,V3,V1,V3)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #129: disj( #126, input, input ), references = 1, size of lhs = 6:
% 34.55/34.77     pppp1-{F}(V0,V1,V1), pppp9-{F}(V0,V1,V2), in-{F}(V1,V2), pppp1-{F}(V0,V1,V3), pppp0-{F}(V3,V2), in-{F}(V3,V2) | pppp4-{T}(V0,V1,V2,V0)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #163: exists( #7, #161 ), references = 1, size of lhs = 2:
% 34.55/34.77     pppp8-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp3-{T}(V0,V1,V0), pppp3-{T}(V0,V1,V2)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #170: disj( #6, input ), references = 1, size of lhs = 3:
% 34.55/34.77     in-{F}(V0,V1), #-{F} V2, V0 == V2 | pppp8-{T}(V2,V1)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #182: disj( #180, input, input ), references = 1, size of lhs = 6:
% 34.55/34.77     pppp1-{F}(V0,V1,V0), pppp9-{F}(V0,V1,V2), in-{F}(V0,V2), pppp1-{F}(V0,V1,V3), pppp0-{F}(V3,V2), in-{F}(V3,V2) | pppp4-{T}(V0,V1,V2,V1)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #4096: exists( #26, #25 ), references = 2, size of lhs = 1:
% 34.55/34.77     pppp5-{F}(V0,V1,V2) | P_unordered_pair-{T}(V0,V2,V1)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #4101: exists( #23, #4099 ), references = 1, size of lhs = 4:
% 34.55/34.77     pppp6-{F}(V0,V1), P_singleton-{F}(V0,V2), in-{F}(V3,V2), V3 == V1 | pppp5-{T}(V1,V2,V3)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #4109: exists( #27, #4107 ), references = 2, size of lhs = 4:
% 34.55/34.77     pppp6-{F}(V0,V1), V0 == V1, pppp1-{F}(V1,V0,V2), V2 == V0 | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #4112: exists( #22, #4110 ), references = 1, size of lhs = 1:
% 34.55/34.77     pppp7-{F}(V0) | pppp6-{T}(V0,V0)
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  #4115: exists( #21, #4113 ), references = 1, size of lhs = 0:
% 34.55/34.77     FALSE | FALSE
% 34.55/34.77        (used 0 times, uses = {})
% 34.55/34.77  
% 34.55/34.77  number of learnt formulas = 20
% 34.55/34.77  
% 34.55/34.77  
% 34.55/34.77  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.55/34.77  
% 34.55/34.77  randbase = 1
%------------------------------------------------------------------------------