TSTP Solution File: SYN345+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN345+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n010.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 06:24:26 EDT 2022

% Result   : Theorem 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN345+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Jul 23 03:07:26 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.45  GeoParameters:
% 0.20/0.45  
% 0.20/0.45  tptp_input =     1
% 0.20/0.45  tptp_output =    0
% 0.20/0.45  nonempty =       1
% 0.20/0.45  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  
% 0.20/0.45  RuleSystem INPUT:
% 0.20/0.45  
% 0.20/0.45  Initial Rules:
% 0.20/0.45  #0: input, references = 4, size of lhs = 0:
% 0.20/0.45     FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #1: input, references = 4, size of lhs = 1:
% 0.20/0.45     pppp4-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #2: input, references = 10, size of lhs = 2:
% 0.20/0.45     pppp3-{F}(V0,V1), #-{F} V2 | pppp2-{T}(V0,V1,V2)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #3: input, references = 10, size of lhs = 2:
% 0.20/0.45     pppp2-{F}(V0,V1,V2), #-{F} V3 | EXISTS V4: pppp1-{T}(V0,V1,V2,V3,V4)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #4: input, references = 6, size of lhs = 4:
% 0.20/0.45     pppp2-{F}(V0,V1,V2), big_f-{F}(V1,V1,V2), big_f-{F}(V0,V1,V1), big_f-{F}(V0,V0,V1) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #5: input, references = 5, size of lhs = 2:
% 0.20/0.45     pppp2-{F}(V0,V1,V2), big_f-{F}(V1,V1,V2) | big_f-{T}(V0,V0,V1), big_f-{T}(V0,V1,V1)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #6: input, references = 9, size of lhs = 1:
% 0.20/0.45     pppp1-{F}(V0,V1,V2,V3,V4) | pppp0-{T}(V0,V1,V2,V3,V4)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #7: input, references = 7, size of lhs = 1:
% 0.20/0.45     pppp0-{F}(V0,V1,V2,V3,V4) | big_f-{T}(V2,V3,V4)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #8: input, references = 4, size of lhs = 3:
% 0.20/0.45     pppp0-{F}(V0,V1,V2,V3,V4), big_f-{F}(V2,V4,V4), big_f-{F}(V0,V1,V1) | big_f-{T}(V0,V0,V1)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #9: input, references = 4, size of lhs = 2:
% 0.20/0.45     pppp0-{F}(V0,V1,V2,V3,V4), big_f-{F}(V0,V1,V1) | big_f-{T}(V1,V2,V3), big_f-{T}(V0,V0,V1)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #10: input, references = 4, size of lhs = 3:
% 0.20/0.45     pppp0-{F}(V0,V1,V2,V3,V4), big_f-{F}(V3,V2,V4), big_f-{F}(V0,V0,V1) | big_f-{T}(V0,V1,V1)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #11: input, references = 3, size of lhs = 2:
% 0.20/0.45     pppp0-{F}(V0,V1,V2,V3,V4), big_f-{F}(V0,V0,V1) | big_f-{T}(V0,V1,V2), big_f-{T}(V0,V1,V1)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  number of initial rules = 12
% 0.20/0.45  
% 0.20/0.45  Simplifiers:
% 0.20/0.45  #12: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #13: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V6,V7,V8,V9), V1 == V6 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #14: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #15: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #16: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V0,V6,V7,V8,V9), V1 == V6 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #17: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #18: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #19: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #20: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #21: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #22: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  number of simplifiers = 11
% 0.20/0.45  
% 0.20/0.45  Learnt:
% 0.20/0.45  #24: disj( #5, input ), references = 2, size of lhs = 4:
% 0.20/0.45     pppp2-{F}(V0,V0,V1), big_f-{F}(V0,V0,V1), pppp2-{F}(V0,V0,V2), big_f-{F}(V0,V0,V2) | big_f-{T}(V0,V0,V0)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #33: exists( #3, #31 ), references = 1, size of lhs = 2:
% 0.20/0.45     pppp3-{F}(V0,V0), pppp2-{F}(V1,V2,V0) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #37: disj( #5, #10+#4 ), references = 4, size of lhs = 6:
% 0.20/0.45     big_f-{F}(V0,V0,V1), pppp2-{F}(V2,V0,V1), pppp2-{F}(V2,V0,V3), big_f-{F}(V0,V0,V3), pppp0-{F}(V2,V0,V4,V5,V6), big_f-{F}(V5,V4,V6) | big_f-{T}(V2,V0,V0)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #52: exists( #3, #50 ), references = 3, size of lhs = 4:
% 0.20/0.45     pppp3-{F}(V0,V1), pppp2-{F}(V0,V1,V1), big_f-{F}(V2,V3,V3), pppp0-{F}(V0,V1,V2,V4,V3) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #62: disj( #9, input ), references = 3, size of lhs = 4:
% 0.20/0.45     big_f-{F}(V0,V1,V1), pppp2-{F}(V0,V1,V2), big_f-{F}(V1,V1,V2), pppp0-{F}(V0,V1,V3,V4,V5) | big_f-{T}(V1,V3,V4)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #75: mergings( V0 == V3, V1 == V4; #72 ), references = 1, size of lhs = 3:
% 0.20/0.45     pppp3-{F}(V0,V1), pppp2-{F}(V0,V1,V1), pppp0-{F}(V0,V1,V1,V2,V1) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #90: mergings( V3 == V0, V4 == V1; #87 ), references = 2, size of lhs = 4:
% 0.20/0.45     pppp3-{F}(V0,V1), pppp2-{F}(V0,V1,V1), pppp0-{F}(V0,V1,V1,V2,V3), pppp0-{F}(V0,V1,V3,V3,V4) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #98: exists( #3, #96 ), references = 1, size of lhs = 4:
% 0.20/0.45     pppp3-{F}(V0,V1), pppp2-{F}(V0,V1,V1), pppp2-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V1,V3,V2) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #103: mergings( V5 == V0, V6 == V1; #100 ), references = 1, size of lhs = 5:
% 0.20/0.45     pppp3-{F}(V0,V1), pppp2-{F}(V0,V1,V1), pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V1,V3,V2), pppp2-{F}(V0,V1,V4) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #108: mergings( V0 == V4, V1 == V5; #105 ), references = 1, size of lhs = 3:
% 0.20/0.45     pppp3-{F}(V0,V1), pppp2-{F}(V0,V1,V1), pppp2-{F}(V0,V1,V2) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #112: exists( #1, #110 ), references = 1, size of lhs = 1:
% 0.20/0.45     pppp4-{F}(V0) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #114: exists( #0, #111 ), references = 1, size of lhs = 0:
% 0.20/0.45     FALSE | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  number of learnt formulas = 12
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  
% 0.20/0.45  randbase = 1
%------------------------------------------------------------------------------