TSTP Solution File: ALG210+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : ALG210+1 : TPTP v8.1.0. Released v3.1.0.
% 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 05:57:22 EDT 2022

% Result   : Theorem 3.76s 3.99s
% Output   : Refutation 3.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ALG210+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12  % 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 10:57:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 3.76/3.99  GeoParameters:
% 3.76/3.99  
% 3.76/3.99  tptp_input =     1
% 3.76/3.99  tptp_output =    0
% 3.76/3.99  nonempty =       1
% 3.76/3.99  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.76/3.99  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.76/3.99  
% 3.76/3.99  
% 3.76/3.99  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.76/3.99  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.76/3.99  
% 3.76/3.99  RuleSystem INPUT:
% 3.76/3.99  
% 3.76/3.99  Initial Rules:
% 3.76/3.99  #0: input, references = 11, size of lhs = 5:
% 3.76/3.99     P_times-{F}(V0,V1,V3), P_times-{F}(V3,V2,V4), P_times-{F}(V2,V0,V5), P_times-{F}(V1,V5,V6), V4 == V6 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #1: input, references = 9, size of lhs = 1:
% 3.76/3.99     element-{F}(V0) | pppp0-{T}(V0)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #2: input, references = 5, size of lhs = 1:
% 3.76/3.99     pppp0-{F}(V0) | element-{T}(V0)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #3: input, references = 4, size of lhs = 2:
% 3.76/3.99     P_times-{F}(V0,V0,V1), pppp0-{F}(V0) | EXISTS V2: pppp1-{T}(V0,V2,V1)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #4: input, references = 6, size of lhs = 2:
% 3.76/3.99     P_times-{F}(V0,V0,V2), P_times-{F}(V0,V2,V0) | pppp0-{T}(V0)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #5: input, references = 4, size of lhs = 3:
% 3.76/3.99     pppp1-{F}(V0,V1,V2), P_times-{F}(V0,V1,V3), V2 == V1 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #6: input, references = 5, size of lhs = 3:
% 3.76/3.99     pppp1-{F}(V0,V1,V2), P_times-{F}(V0,V1,V3), V3 == V0 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #7: input, references = 4, size of lhs = 0:
% 3.76/3.99     FALSE | EXISTS V0: pppp3-{T}(V0)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #8: input, references = 4, size of lhs = 1:
% 3.76/3.99     pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #9: input, references = 4, size of lhs = 1:
% 3.76/3.99     pppp3-{F}(V0) | element-{T}(V0)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #10: input, references = 5, size of lhs = 3:
% 3.76/3.99     pppp2-{F}(V0,V1), P_times-{F}(V0,V1,V2), element-{F}(V2) | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #11: input, references = 8, size of lhs = 2:
% 3.76/3.99     pppp2-{F}(V0,V1), P_times-{F}(V0,V1,V2) | element-{T}(V0)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #12: input, references = 22, size of lhs = 2:
% 3.76/3.99     #-{F} V0, #-{F} V1 | EXISTS V2: P_times-{T}(V0,V1,V2)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  number of initial rules = 13
% 3.76/3.99  
% 3.76/3.99  Simplifiers:
% 3.76/3.99  #13: unsound, references = 3, size of lhs = 3:
% 3.76/3.99     P_times-{F}(V0,V1,V2), P_times-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #14: unsound, references = 3, size of lhs = 3:
% 3.76/3.99     pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #15: unsound, references = 3, size of lhs = 3:
% 3.76/3.99     pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V5), V2 == V5 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #16: unsound, references = 3, size of lhs = 3:
% 3.76/3.99     pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #17: unsound, references = 3, size of lhs = 3:
% 3.76/3.99     pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V1 == V3 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #18: unsound, references = 3, size of lhs = 3:
% 3.76/3.99     pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  number of simplifiers = 6
% 3.76/3.99  
% 3.76/3.99  Learnt:
% 3.76/3.99  #20: exists( #12, #0 ), references = 32, size of lhs = 3:
% 3.76/3.99     P_times-{F}(V0,V1,V2), P_times-{F}(V2,V3,V4), P_times-{F}(V3,V0,V5) | P_times-{T}(V1,V5,V4)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #25: exists( #12, #5 ), references = 1, size of lhs = 2:
% 3.76/3.99     pppp1-{F}(V0,V1,V2), V2 == V1 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #26: exists( #12, #0 ), references = 31, size of lhs = 3:
% 3.76/3.99     P_times-{F}(V0,V1,V2), P_times-{F}(V3,V0,V4), P_times-{F}(V1,V4,V5) | P_times-{T}(V2,V3,V5)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #28: mergings( V3 == V1; #23 ), references = 8, size of lhs = 1:
% 3.76/3.99     pppp1-{F}(V0,V1,V1) | P_times-{T}(V0,V1,V0)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #30: exists( #3, #22 ), references = 9, size of lhs = 2:
% 3.76/3.99     pppp0-{F}(V0), P_times-{F}(V0,V0,V1) | pppp1-{T}(V0,V1,V1)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #48: exists( #12, #46 ), references = 1, size of lhs = 2:
% 3.76/3.99     pppp0-{F}(V0), pppp2-{F}(V0,V0) | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #61: mergings( V3 == V8, V4 == V9; #58 ), references = 6, size of lhs = 5:
% 3.76/3.99     P_times-{F}(V0,V1,V1), P_times-{F}(V2,V3,V1), P_times-{F}(V4,V2,V5), P_times-{F}(V4,V6,V0), P_times-{F}(V4,V1,V7) | P_times-{T}(V3,V5,V7)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #91: exists( #12, #89 ), references = 1, size of lhs = 16:
% 3.76/3.99     pppp2-{F}(V0,V1), P_times-{F}(V0,V1,V2), P_times-{F}(V2,V3,V2), P_times-{F}(V2,V4,V2), P_times-{F}(V4,V5,V2), P_times-{F}(V6,V5,V2), P_times-{F}(V6,V3,V7), P_times-{F}(V7,V2,V2), P_times-{F}(V8,V9,V2), P_times-{F}(V10,V8,V2), P_times-{F}(V11,V2,V12), P_times-{F}(V13,V11,V2), P_times-{F}(V14,V15,V12), P_times-{F}(V13,V14,V16), P_times-{F}(V16,V9,V17), P_times-{F}(V17,V15,V10) | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #97: mergings( V14 == V11; #95 ), references = 5, size of lhs = 14:
% 3.76/3.99     pppp0-{F}(V0), pppp2-{F}(V1,V2), P_times-{F}(V1,V2,V3), P_times-{F}(V3,V4,V3), P_times-{F}(V3,V5,V3), P_times-{F}(V5,V6,V3), P_times-{F}(V7,V6,V3), P_times-{F}(V7,V4,V8), P_times-{F}(V8,V3,V3), P_times-{F}(V9,V0,V3), P_times-{F}(V0,V10,V3), P_times-{F}(V10,V3,V11), P_times-{F}(V11,V9,V3), P_times-{F}(V0,V12,V11) | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #111: mergings( V8 == V1; #109 ), references = 4, size of lhs = 6:
% 3.76/3.99     P_times-{F}(V0,V1,V2), P_times-{F}(V3,V1,V2), P_times-{F}(V4,V1,V2), P_times-{F}(V5,V0,V4), P_times-{F}(V4,V6,V3), P_times-{F}(V5,V6,V4) | P_times-{T}(V1,V4,V2)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #119: mergings( V3 == V0; #117 ), references = 1, size of lhs = 5:
% 3.76/3.99     P_times-{F}(V0,V0,V0), pppp2-{F}(V1,V0), P_times-{F}(V2,V0,V0), P_times-{F}(V0,V3,V0), P_times-{F}(V2,V3,V0) | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #142: exists( #12, #139 ), references = 1, size of lhs = 11:
% 3.76/3.99     P_times-{F}(V0,V0,V0), P_times-{F}(V1,V2,V0), P_times-{F}(V2,V0,V3), P_times-{F}(V2,V4,V0), pppp2-{F}(V5,V2), P_times-{F}(V6,V1,V5), P_times-{F}(V6,V3,V5), P_times-{F}(V4,V6,V5), P_times-{F}(V5,V7,V5), P_times-{F}(V8,V2,V5), P_times-{F}(V2,V8,V5) | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #143: exists( #12, #138 ), references = 1, size of lhs = 4:
% 3.76/3.99     pppp2-{F}(V0,V1), P_times-{F}(V0,V0,V1), P_times-{F}(V2,V3,V0), P_times-{F}(V1,V2,V4) | P_times-{T}(V3,V4,V0)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #150: exists( #12, #148 ), references = 1, size of lhs = 8:
% 3.76/3.99     pppp0-{F}(V0), pppp2-{F}(V1,V0), P_times-{F}(V2,V0,V1), P_times-{F}(V0,V2,V1), P_times-{F}(V3,V0,V1), P_times-{F}(V0,V3,V1), P_times-{F}(V4,V0,V1), P_times-{F}(V0,V4,V1) | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #178: exists( #12, #176 ), references = 3, size of lhs = 7:
% 3.76/3.99     P_times-{F}(V0,V1,V2), P_times-{F}(V3,V1,V4), P_times-{F}(V0,V4,V5), P_times-{F}(V6,V5,V7), P_times-{F}(V6,V3,V8), P_times-{F}(V8,V2,V9), V7 == V9 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #180: exists( #12, #177 ), references = 3, size of lhs = 5:
% 3.76/3.99     P_times-{F}(V0,V1,V2), P_times-{F}(V3,V1,V4), P_times-{F}(V0,V4,V5), P_times-{F}(V6,V5,V7), P_times-{F}(V6,V3,V8) | P_times-{T}(V8,V2,V7)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #207: mergings( V4 == V3; #205 ), references = 1, size of lhs = 20:
% 3.76/3.99     P_times-{F}(V0,V0,V0), P_times-{F}(V1,V0,V0), P_times-{F}(V2,V0,V0), P_times-{F}(V1,V3,V2), P_times-{F}(V1,V4,V4), P_times-{F}(V0,V5,V5), P_times-{F}(V6,V4,V5), P_times-{F}(V7,V6,V5), pppp2-{F}(V7,V5), P_times-{F}(V7,V8,V4), P_times-{F}(V9,V7,V4), P_times-{F}(V5,V9,V5), P_times-{F}(V7,V4,V10), P_times-{F}(V5,V10,V0), P_times-{F}(V11,V10,V10), P_times-{F}(V5,V12,V11), P_times-{F}(V13,V5,V14), P_times-{F}(V7,V14,V15), P_times-{F}(V13,V16,V5), P_times-{F}(V16,V15,V4) | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #221: mergings( V3 == V6; #218 ), references = 2, size of lhs = 5:
% 3.76/3.99     pppp0-{F}(V0), P_times-{F}(V1,V0,V2), P_times-{F}(V0,V2,V3), P_times-{F}(V3,V0,V4), V4 == V2 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #275: exists( #12, #268 ), references = 2, size of lhs = 9:
% 3.76/3.99     pppp0-{F}(V0), P_times-{F}(V0,V0,V0), P_times-{F}(V1,V0,V0), P_times-{F}(V1,V2,V0), P_times-{F}(V0,V2,V0), P_times-{F}(V0,V3,V4), P_times-{F}(V4,V0,V5), P_times-{F}(V5,V6,V7), P_times-{F}(V3,V6,V7) | P_times-{T}(V6,V4,V7)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #277: mergings( V4 == V6; #273 ), references = 1, size of lhs = 11:
% 3.76/3.99     P_times-{F}(V0,V0,V0), P_times-{F}(V1,V0,V0), P_times-{F}(V1,V2,V0), P_times-{F}(V0,V2,V0), P_times-{F}(V3,V4,V0), P_times-{F}(V0,V5,V6), P_times-{F}(V6,V4,V7), P_times-{F}(V3,V7,V6), P_times-{F}(V6,V0,V8), P_times-{F}(V8,V9,V10), P_times-{F}(V5,V9,V10) | P_times-{T}(V9,V6,V10)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #278: exists( #12, #271 ), references = 1, size of lhs = 11:
% 3.76/3.99     P_times-{F}(V0,V1,V0), P_times-{F}(V2,V0,V0), P_times-{F}(V2,V3,V0), P_times-{F}(V0,V3,V0), P_times-{F}(V4,V5,V0), P_times-{F}(V1,V6,V7), P_times-{F}(V7,V5,V8), P_times-{F}(V4,V8,V7), P_times-{F}(V7,V0,V9), P_times-{F}(V9,V10,V11), P_times-{F}(V6,V10,V11) | P_times-{T}(V10,V7,V11)
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #299: exists( #12, #295 ), references = 1, size of lhs = 8:
% 3.76/3.99     pppp0-{F}(V0), P_times-{F}(V0,V1,V2), P_times-{F}(V2,V0,V3), P_times-{F}(V3,V4,V5), P_times-{F}(V4,V1,V6), P_times-{F}(V7,V0,V6), P_times-{F}(V0,V7,V8), V8 == V5 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #301: mergings( V6 == V7; #298 ), references = 1, size of lhs = 7:
% 3.76/3.99     pppp0-{F}(V0), P_times-{F}(V1,V0,V2), P_times-{F}(V0,V2,V3), P_times-{F}(V4,V0,V5), P_times-{F}(V1,V6,V5), P_times-{F}(V6,V3,V7), V5 == V7 | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #344: exists( #12, #341 ), references = 1, size of lhs = 19:
% 3.76/3.99     pppp0-{F}(V0), pppp2-{F}(V1,V2), P_times-{F}(V1,V2,V3), P_times-{F}(V3,V4,V3), P_times-{F}(V3,V5,V3), P_times-{F}(V5,V6,V3), P_times-{F}(V7,V6,V3), P_times-{F}(V7,V4,V8), P_times-{F}(V8,V3,V3), P_times-{F}(V0,V9,V3), P_times-{F}(V10,V0,V3), P_times-{F}(V11,V12,V10), P_times-{F}(V13,V11,V3), P_times-{F}(V14,V0,V13), P_times-{F}(V15,V12,V14), P_times-{F}(V16,V9,V17), P_times-{F}(V18,V16,V3), P_times-{F}(V19,V0,V17), P_times-{F}(V18,V19,V15) | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #351: exists( #12, #349 ), references = 1, size of lhs = 14:
% 3.76/3.99     pppp0-{F}(V0), P_times-{F}(V0,V0,V0), P_times-{F}(V1,V0,V0), P_times-{F}(V1,V2,V0), P_times-{F}(V0,V2,V0), P_times-{F}(V3,V3,V3), pppp2-{F}(V4,V5), P_times-{F}(V5,V0,V6), P_times-{F}(V0,V6,V5), P_times-{F}(V5,V3,V6), P_times-{F}(V3,V6,V5), P_times-{F}(V6,V6,V7), P_times-{F}(V3,V8,V6), P_times-{F}(V7,V8,V6) | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #358: exists( #12, #356 ), references = 1, size of lhs = 2:
% 3.76/3.99     pppp0-{F}(V0), pppp2-{F}(V1,V0) | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #360: exists( #8, #357 ), references = 1, size of lhs = 2:
% 3.76/3.99     pppp3-{F}(V0), pppp0-{F}(V0) | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  #364: exists( #7, #362 ), references = 1, size of lhs = 0:
% 3.76/3.99     FALSE | FALSE
% 3.76/3.99        (used 0 times, uses = {})
% 3.76/3.99  
% 3.76/3.99  number of learnt formulas = 28
% 3.76/3.99  
% 3.76/3.99  
% 3.76/3.99  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.76/3.99  
% 3.76/3.99  randbase = 1
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