TSTP Solution File: SEU159+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU159+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n024.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 06:17:21 EDT 2022

% Result   : Theorem 31.44s 31.62s
% Output   : Refutation 31.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU159+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n024.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 18:34:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 31.44/31.62  GeoParameters:
% 31.44/31.62  
% 31.44/31.62  tptp_input =     1
% 31.44/31.62  tptp_output =    0
% 31.44/31.62  nonempty =       1
% 31.44/31.62  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.44/31.62  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 31.44/31.62  
% 31.44/31.62  
% 31.44/31.62  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.44/31.62  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.44/31.62  
% 31.44/31.62  RuleSystem INPUT:
% 31.44/31.62  
% 31.44/31.62  Initial Rules:
% 31.44/31.62  #0: input, references = 5, size of lhs = 2:
% 31.44/31.62     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #1: input, references = 4, size of lhs = 3:
% 31.44/31.62     P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #2: input, references = 4, size of lhs = 1:
% 31.44/31.62     P_unordered_pair-{F}(V0,V1,V3) | pppp1-{T}(V0,V1,V3)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #3: input, references = 3, size of lhs = 3:
% 31.44/31.62     P_unordered_pair-{F}(V0,V1,V3), pppp1-{F}(V0,V1,V2), V2 == V3 | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #4: input, references = 7, size of lhs = 2:
% 31.44/31.62     pppp1-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp0-{T}(V0,V1,V3)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #5: input, references = 5, size of lhs = 2:
% 31.44/31.62     pppp1-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #6: input, references = 4, size of lhs = 3:
% 31.44/31.62     #-{F} V0, #-{F} V1, #-{F} V2 | pppp1-{T}(V0,V1,V2), pppp9-{T}(V0,V1,V2)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #7: input, references = 3, size of lhs = 1:
% 31.44/31.62     pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #8: input, references = 6, size of lhs = 3:
% 31.44/31.62     pppp4-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #9: input, references = 4, size of lhs = 1:
% 31.44/31.62     pppp4-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp0-{T}(V0,V1,V3)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #10: input, references = 7, size of lhs = 3:
% 31.44/31.62     pppp0-{F}(V0,V1,V2), V2 == V0, V2 == V1 | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #11: input, references = 4, size of lhs = 2:
% 31.44/31.62     #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1,V0)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #12: input, references = 4, size of lhs = 2:
% 31.44/31.62     #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1,V1)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #13: input, references = 5, size of lhs = 1:
% 31.44/31.62     subset-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #14: input, references = 4, size of lhs = 1:
% 31.44/31.62     pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #15: input, references = 13, size of lhs = 2:
% 31.44/31.62     pppp2-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #16: input, references = 8, size of lhs = 2:
% 31.44/31.62     #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp10-{T}(V0,V1)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #17: input, references = 5, size of lhs = 1:
% 31.44/31.62     pppp10-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #18: input, references = 8, size of lhs = 2:
% 31.44/31.62     pppp5-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #19: input, references = 5, size of lhs = 1:
% 31.44/31.62     pppp5-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #20: input, references = 3, size of lhs = 1:
% 31.44/31.62     #-{F} V0 | subset-{T}(V0,V0)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #21: input, references = 4, size of lhs = 0:
% 31.44/31.62     FALSE | EXISTS V0: pppp8-{T}(V0)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #22: input, references = 4, size of lhs = 1:
% 31.44/31.62     pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #23: input, references = 4, size of lhs = 1:
% 31.44/31.62     pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #24: input, references = 5, size of lhs = 4:
% 31.44/31.62     pppp6-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), pppp3-{F}(V0,V1,V2), subset-{F}(V3,V2) | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #25: input, references = 6, size of lhs = 2:
% 31.44/31.62     pppp6-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3) | subset-{T}(V3,V2), pppp3-{T}(V0,V1,V2)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #26: input, references = 5, size of lhs = 1:
% 31.44/31.62     pppp3-{F}(V0,V1,V2) | in-{T}(V0,V2)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #27: input, references = 7, size of lhs = 1:
% 31.44/31.62     pppp3-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #28: input, references = 4, size of lhs = 2:
% 31.44/31.62     in-{F}(V0,V2), in-{F}(V1,V2) | pppp3-{T}(V0,V1,V2)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #29: input, references = 5, size of lhs = 2:
% 31.44/31.62     #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  number of initial rules = 30
% 31.44/31.62  
% 31.44/31.62  Simplifiers:
% 31.44/31.62  #30: unsound, references = 3, size of lhs = 3:
% 31.44/31.62     P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #31: unsound, references = 3, size of lhs = 3:
% 31.44/31.62     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #32: unsound, references = 3, size of lhs = 3:
% 31.44/31.62     pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #33: unsound, references = 3, size of lhs = 3:
% 31.44/31.62     pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #34: unsound, references = 3, size of lhs = 3:
% 31.44/31.62     pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V5), V1 == V4 | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #35: unsound, references = 3, size of lhs = 3:
% 31.44/31.62     pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V0 == V3 | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #36: unsound, references = 3, size of lhs = 3:
% 31.44/31.62     pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #37: unsound, references = 3, size of lhs = 3:
% 31.44/31.62     pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #38: unsound, references = 3, size of lhs = 3:
% 31.44/31.62     pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  number of simplifiers = 9
% 31.44/31.62  
% 31.44/31.62  Learnt:
% 31.44/31.62  #40: disj( #6, input ), references = 1, size of lhs = 3:
% 31.44/31.62     P_unordered_pair-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp9-{T}(V0,V1,V3)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #46: exists( #29, #1 ), references = 2, size of lhs = 1:
% 31.44/31.62     P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #105: disj( #16, #15+#4+#10 ), references = 1, size of lhs = 4:
% 31.44/31.62     in-{F}(V0,V1), pppp1-{F}(V2,V3,V4), V0 == V2, V0 == V3 | pppp10-{T}(V1,V4)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #108: mergings( V2 == V4; #104 ), references = 1, size of lhs = 4:
% 31.44/31.62     in-{F}(V0,V1), in-{F}(V0,V2), pppp4-{F}(V0,V3,V2,V0), pppp1-{F}(V0,V3,V4) | pppp10-{T}(V1,V4)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #109: mergings( V2 == V5; #104 ), references = 1, size of lhs = 4:
% 31.44/31.62     in-{F}(V0,V1), in-{F}(V0,V2), pppp4-{F}(V3,V0,V2,V0), pppp1-{F}(V3,V0,V4) | pppp10-{T}(V1,V4)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #153: exists( #17, #151 ), references = 1, size of lhs = 2:
% 31.44/31.62     pppp10-{F}(V0,V1), pppp1-{F}(V2,V3,V0) | pppp5-{T}(V0,V1,V2), pppp5-{T}(V0,V1,V3)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #162: disj( #16, #15+#0 ), references = 1, size of lhs = 1:
% 31.44/31.62     in-{F}(V0,V1) | pppp10-{T}(V1,V0)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #163: disj( #16, #15+#8 ), references = 1, size of lhs = 3:
% 31.44/31.62     in-{F}(V0,V1), pppp0-{F}(V2,V3,V0), pppp4-{F}(V2,V3,V4,V0) | pppp10-{T}(V1,V4)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #164: disj( #16, #15+#18 ), references = 1, size of lhs = 2:
% 31.44/31.62     in-{F}(V0,V1), pppp5-{F}(V2,V3,V0) | pppp10-{T}(V1,V3)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #186: disj( #184, input ), references = 3, size of lhs = 3:
% 31.44/31.62     in-{F}(V0,V1), pppp10-{F}(V2,V1), pppp1-{F}(V0,V3,V2) | pppp5-{T}(V2,V1,V3)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #311: disj( #16, #186+#18 ), references = 2, size of lhs = 3:
% 31.44/31.62     in-{F}(V0,V1), in-{F}(V2,V1), pppp1-{F}(V0,V2,V3) | pppp2-{T}(V3,V1)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #450: disj( #9, input ), references = 2, size of lhs = 2:
% 31.44/31.62     in-{F}(V0,V1), pppp4-{F}(V2,V3,V0,V1) | pppp0-{T}(V2,V3,V1)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #451: disj( #9, input ), references = 1, size of lhs = 3:
% 31.44/31.62     pppp0-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V3,V2), pppp4-{F}(V4,V5,V3,V2) | pppp0-{T}(V4,V5,V2)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #525: disj( #25, #27+#0 ), references = 1, size of lhs = 2:
% 31.44/31.62     pppp6-{F}(V0,V1,V1), P_unordered_pair-{F}(V0,V1,V2) | subset-{T}(V2,V1)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #526: disj( #25, #27+#18 ), references = 1, size of lhs = 3:
% 31.44/31.62     pppp6-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), pppp5-{F}(V4,V2,V1) | subset-{T}(V3,V2)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #527: disj( #25, #27+#8 ), references = 1, size of lhs = 4:
% 31.44/31.62     pppp0-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V3,V2), pppp6-{F}(V4,V2,V3), P_unordered_pair-{F}(V4,V2,V5) | subset-{T}(V5,V3)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #816: disj( #25, #13+#15+#18 ), references = 2, size of lhs = 4:
% 31.44/31.62     in-{F}(V0,V1), P_unordered_pair-{F}(V2,V3,V1), pppp6-{F}(V2,V3,V4), pppp5-{F}(V5,V4,V0) | pppp3-{T}(V2,V3,V4)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #920: disj( #16, #15+#450+#10 ), references = 1, size of lhs = 4:
% 31.44/31.62     in-{F}(V0,V1), pppp4-{F}(V2,V3,V0,V4), V4 == V2, V4 == V3 | pppp10-{T}(V1,V4)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #1070: disj( #16, #15+#186+#816+#26+#18 ), references = 1, size of lhs = 6:
% 31.44/31.62     in-{F}(V0,V1), pppp1-{F}(V0,V2,V3), pppp10-{F}(V3,V4), in-{F}(V2,V5), P_unordered_pair-{F}(V2,V6,V5), pppp6-{F}(V2,V6,V4) | pppp10-{T}(V1,V4)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #1204: mergings( V3 == V4; #1202 ), references = 1, size of lhs = 3:
% 31.44/31.62     pppp1-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V2), pppp6-{F}(V1,V0,V3) | subset-{T}(V2,V3)
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #1212: mergings( V3 == V4; #1210 ), references = 1, size of lhs = 5:
% 31.44/31.62     pppp7-{F}(V0,V1), in-{F}(V1,V2), in-{F}(V0,V2), pppp1-{F}(V1,V0,V2), P_unordered_pair-{F}(V0,V1,V2) | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #1218: exists( #29, #1216 ), references = 2, size of lhs = 3:
% 31.44/31.62     pppp7-{F}(V0,V1), pppp0-{F}(V1,V0,V1), pppp0-{F}(V1,V0,V0) | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #1222: exists( #22, #1220 ), references = 1, size of lhs = 1:
% 31.44/31.62     pppp8-{F}(V0) | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  #1224: exists( #21, #1221 ), references = 1, size of lhs = 0:
% 31.44/31.62     FALSE | FALSE
% 31.44/31.62        (used 0 times, uses = {})
% 31.44/31.62  
% 31.44/31.62  number of learnt formulas = 24
% 31.44/31.62  
% 31.44/31.62  
% 31.44/31.62  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.44/31.62  
% 31.44/31.62  randbase = 1
%------------------------------------------------------------------------------