TSTP Solution File: SEV515+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n023.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 06:19:22 EDT 2022

% Result   : Theorem 0.12s 0.40s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n023.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 20:06:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.40  GeoParameters:
% 0.12/0.40  
% 0.12/0.40  tptp_input =     1
% 0.12/0.40  tptp_output =    0
% 0.12/0.40  nonempty =       1
% 0.12/0.40  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40  
% 0.12/0.40  RuleSystem INPUT:
% 0.12/0.40  
% 0.12/0.40  Initial Rules:
% 0.12/0.40  #0: input, references = 4, size of lhs = 0:
% 0.12/0.40     FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #1: input, references = 4, size of lhs = 2:
% 0.12/0.40     g_both-{F}(V1,V0), g_both-{F}(V1,V1) | pppp8-{T}(V0), pppp9-{T}()
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #2: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp8-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #3: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp9-{F}() | EXISTS V0: pppp7-{T}(V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #4: input, references = 4, size of lhs = 2:
% 0.12/0.40     pppp7-{F}(V0), #-{F} V1 | g_false_only-{T}(V1,V1), g_true_only-{T}(V1,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #5: input, references = 3, size of lhs = 2:
% 0.12/0.40     pppp7-{F}(V0), #-{F} V1 | g_false_only-{T}(V1,V1), g_false_only-{T}(V1,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #6: input, references = 3, size of lhs = 2:
% 0.12/0.40     pppp7-{F}(V0), #-{F} V1 | g_true_only-{T}(V1,V0), g_true_only-{T}(V1,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #7: input, references = 3, size of lhs = 2:
% 0.12/0.40     pppp7-{F}(V0), #-{F} V1 | g_true_only-{T}(V1,V0), g_false_only-{T}(V1,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #8: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp6-{F}(V0,V1) | pppp5-{T}(V0,V1), g_false_only-{T}(V0,V0), g_true_only-{T}(V0,V0), g_both-{T}(V0,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #9: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp6-{F}(V0,V1) | pppp5-{T}(V0,V1), g_false_only-{T}(V0,V0), g_true_only-{T}(V0,V0), g_false_only-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #10: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp6-{F}(V0,V1) | pppp5-{T}(V0,V1), g_both-{T}(V0,V1), g_false_only-{T}(V0,V0), g_both-{T}(V0,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #11: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp6-{F}(V0,V1) | pppp5-{T}(V0,V1), g_both-{T}(V0,V1), g_false_only-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #12: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp5-{F}(V0,V1) | g_both-{T}(V0,V0), g_true_only-{T}(V0,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #13: input, references = 8, size of lhs = 1:
% 0.12/0.40     pppp5-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #14: input, references = 5, size of lhs = 2:
% 0.12/0.40     pppp4-{F}(V0), #-{F} V1 | pppp3-{T}(V1,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #15: input, references = 3, size of lhs = 3:
% 0.12/0.40     pppp3-{F}(V0,V1), g_false_only-{F}(V0,V1), g_both-{F}(V0,V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #16: input, references = 5, size of lhs = 3:
% 0.12/0.40     pppp3-{F}(V0,V1), g_false_only-{F}(V0,V1), g_false_only-{F}(V0,V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #17: input, references = 4, size of lhs = 3:
% 0.12/0.40     pppp3-{F}(V0,V1), g_both-{F}(V0,V1), g_true_only-{F}(V0,V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #18: input, references = 3, size of lhs = 3:
% 0.12/0.40     pppp3-{F}(V0,V1), g_both-{F}(V0,V1), g_false_only-{F}(V0,V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #19: input, references = 6, size of lhs = 3:
% 0.12/0.40     pppp3-{F}(V0,V1), g_true_only-{F}(V0,V1), g_true_only-{F}(V0,V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #20: input, references = 3, size of lhs = 3:
% 0.12/0.40     pppp3-{F}(V0,V1), g_true_only-{F}(V0,V1), g_both-{F}(V0,V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #21: input, references = 5, size of lhs = 1:
% 0.12/0.40     g_true_only-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #22: input, references = 3, size of lhs = 1:
% 0.12/0.40     pppp0-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #23: input, references = 3, size of lhs = 1:
% 0.12/0.40     pppp0-{F}(V0,V1) | g_true-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #24: input, references = 5, size of lhs = 2:
% 0.12/0.40     pppp0-{F}(V0,V1), g_false-{F}(V0,V1) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #25: input, references = 3, size of lhs = 1:
% 0.12/0.40     g_true-{F}(V0,V1) | pppp0-{T}(V0,V1), g_false-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #26: input, references = 4, size of lhs = 1:
% 0.12/0.40     g_both-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #27: input, references = 3, size of lhs = 1:
% 0.12/0.40     pppp1-{F}(V0,V1) | g_both-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #28: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp1-{F}(V0,V1) | g_true-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #29: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp1-{F}(V0,V1) | g_false-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #30: input, references = 3, size of lhs = 2:
% 0.12/0.40     g_true-{F}(V0,V1), g_false-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #31: input, references = 5, size of lhs = 1:
% 0.12/0.40     g_false_only-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #32: input, references = 3, size of lhs = 1:
% 0.12/0.40     pppp2-{F}(V0,V1) | g_false_only-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #33: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp2-{F}(V0,V1) | g_false-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #34: input, references = 4, size of lhs = 2:
% 0.12/0.40     pppp2-{F}(V0,V1), g_true-{F}(V0,V1) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #35: input, references = 3, size of lhs = 1:
% 0.12/0.40     g_false-{F}(V0,V1) | pppp2-{T}(V0,V1), g_true-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #36: input, references = 5, size of lhs = 2:
% 0.12/0.40     #-{F} V0, #-{F} V1 | g_true_only-{T}(V0,V1), g_both-{T}(V0,V1), g_false_only-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  number of initial rules = 37
% 0.12/0.40  
% 0.12/0.40  Simplifiers:
% 0.12/0.40  #37: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V1 == V3 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #38: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #39: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #40: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #41: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  number of simplifiers = 5
% 0.12/0.40  
% 0.12/0.40  Learnt:
% 0.12/0.40  #43: disj( #4, input ), references = 1, size of lhs = 3:
% 0.12/0.40     pppp7-{F}(V0), pppp3-{F}(V1,V2), g_both-{F}(V1,V2) | g_true_only-{T}(V1,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #47: mergings( V2 == V3; #45 ), references = 1, size of lhs = 3:
% 0.12/0.40     pppp9-{F}(), pppp3-{F}(V0,V1), g_both-{F}(V0,V1) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #50: mergings( V3 == V4; #48 ), references = 2, size of lhs = 4:
% 0.12/0.40     g_both-{F}(V0,V0), g_both-{F}(V0,V1), pppp3-{F}(V2,V3), g_both-{F}(V2,V3) | pppp8-{T}(V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #52: disj( #36, input, input ), references = 1, size of lhs = 1:
% 0.12/0.40     pppp3-{F}(V0,V0) | g_both-{T}(V0,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #54: disj( #36, input, input ), references = 1, size of lhs = 2:
% 0.12/0.40     g_true_only-{F}(V0,V0), pppp3-{F}(V0,V1) | g_false_only-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #57: mergings( V2 == V3; #55 ), references = 1, size of lhs = 3:
% 0.12/0.40     pppp6-{F}(V0,V1), pppp3-{F}(V0,V2), g_false_only-{F}(V0,V2) | pppp5-{T}(V0,V1), g_both-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #61: mergings( V1 == V2, V2 == V3; #58 ), references = 2, size of lhs = 4:
% 0.12/0.40     g_true_only-{F}(V0,V0), pppp6-{F}(V0,V1), pppp3-{F}(V0,V1), g_false_only-{F}(V0,V1) | pppp5-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #65: disj( #12, input ), references = 2, size of lhs = 3:
% 0.12/0.40     pppp5-{F}(V0,V1), pppp3-{F}(V0,V2), g_true_only-{F}(V0,V2) | g_true_only-{T}(V0,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #72: mergings( V2 == V3; #70 ), references = 1, size of lhs = 4:
% 0.12/0.40     pppp6-{F}(V0,V1), pppp6-{F}(V0,V2), pppp3-{F}(V0,V2), g_false_only-{F}(V0,V2) | pppp5-{T}(V0,V1), g_false_only-{T}(V0,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #80: mergings( V2 == V3; #77 ), references = 1, size of lhs = 5:
% 0.12/0.40     pppp6-{F}(V0,V1), g_false-{F}(V0,V1), pppp6-{F}(V0,V2), pppp3-{F}(V0,V2), g_false_only-{F}(V0,V2) | g_false_only-{T}(V0,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #83: mergings( V1 == V2, V2 == V3; #78 ), references = 2, size of lhs = 3:
% 0.12/0.40     pppp6-{F}(V0,V1), pppp3-{F}(V0,V1), g_false_only-{F}(V0,V1) | g_false_only-{T}(V0,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #88: disj( #11, #13+#64+#19, #31+#33+#77+#16 ), references = 1, size of lhs = 2:
% 0.12/0.40     pppp6-{F}(V0,V1), pppp3-{F}(V0,V1) | g_both-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #91: mergings( V2 == V3; #89 ), references = 1, size of lhs = 3:
% 0.12/0.40     pppp6-{F}(V0,V1), pppp3-{F}(V0,V2), g_both-{F}(V0,V2) | pppp5-{T}(V0,V1), g_false_only-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #99: mergings( V2 == V3; #95 ), references = 1, size of lhs = 4:
% 0.12/0.40     pppp6-{F}(V0,V1), g_true-{F}(V0,V1), pppp3-{F}(V0,V2), g_both-{F}(V0,V2) | pppp5-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #102: mergings( V2 == V3, V3 == V1; #96 ), references = 1, size of lhs = 3:
% 0.12/0.40     g_both-{F}(V0,V1), pppp6-{F}(V0,V1), pppp3-{F}(V0,V1) | pppp5-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #130: exists( #2, #124 ), references = 1, size of lhs = 2:
% 0.12/0.40     pppp8-{F}(V0), pppp4-{F}(V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #143: exists( #0, #137 ), references = 1, size of lhs = 0:
% 0.12/0.40     FALSE | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  number of learnt formulas = 17
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40  
% 0.12/0.40  randbase = 1
%------------------------------------------------------------------------------