TSTP Solution File: COL058-3 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : COL058-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n018.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 05:59:05 EDT 2022

% Result   : Unsatisfiable 0.77s 0.94s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL058-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n018.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 08:12:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.77/0.94  GeoParameters:
% 0.77/0.94  
% 0.77/0.94  tptp_input =     1
% 0.77/0.94  tptp_output =    0
% 0.77/0.94  nonempty =       1
% 0.77/0.94  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.94  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.77/0.94  
% 0.77/0.94  
% 0.77/0.94  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.94  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.94  
% 0.77/0.94  RuleSystem INPUT:
% 0.77/0.94  
% 0.77/0.94  Initial Rules:
% 0.77/0.94  #0: input, references = 9, size of lhs = 6:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V1,V3), P_response-{F}(V3,V2,V4), P_response-{F}(V2,V2,V5), P_response-{F}(V1,V5,V6), V4 == V6 | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #1: input, references = 5, size of lhs = 6:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V0,V1,V2), P_response-{F}(V1,V2,V3), P_response-{F}(V3,V2,V4), P_response-{F}(V4,V4,V4) | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #2: input, references = 21, size of lhs = 2:
% 0.77/0.94     #-{F} V0, #-{F} V1 | EXISTS V2: P_response-{T}(V0,V1,V2)
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #3: input, references = 4, size of lhs = 0:
% 0.77/0.94     FALSE | EXISTS V0: P_lark-{T}(V0)
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  number of initial rules = 4
% 0.77/0.94  
% 0.77/0.94  Simplifiers:
% 0.77/0.94  #4: unsound, references = 3, size of lhs = 3:
% 0.77/0.94     P_response-{F}(V0,V1,V2), P_response-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #5: unsound, references = 3, size of lhs = 3:
% 0.77/0.94     P_lark-{F}(V0), P_lark-{F}(V1), V0 == V1 | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  number of simplifiers = 2
% 0.77/0.94  
% 0.77/0.94  Learnt:
% 0.77/0.94  #7: exists( #2, #0 ), references = 2, size of lhs = 4:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V1,V2), P_response-{F}(V3,V3,V4), P_response-{F}(V1,V4,V5) | P_response-{T}(V2,V3,V5)
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #9: exists( #2, #0 ), references = 28, size of lhs = 4:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V1,V2), P_response-{F}(V2,V3,V4), P_response-{F}(V3,V3,V5) | P_response-{T}(V1,V5,V4)
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #33: mergings( V2 == V3, V3 == V5, V4 == V6; #28 ), references = 1, size of lhs = 4:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V0,V1,V2), P_response-{F}(V1,V2,V2) | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #41: mergings( V2 == V3, V3 == V4; #38 ), references = 1, size of lhs = 7:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V2,V2,V3), P_response-{F}(V1,V4,V5), P_response-{F}(V0,V5,V4), P_response-{F}(V5,V4,V3), P_response-{F}(V5,V2,V6) | P_response-{T}(V4,V4,V6)
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #62: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V5 == V8; #55 ), references = 1, size of lhs = 6:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V0,V1,V2), P_response-{F}(V1,V2,V0), P_response-{F}(V0,V2,V3), V0 == V3 | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #72: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V5 == V8, V7 == V9, V8 == V10, V0 == V11, V12 == V14; #56 ), references = 2, size of lhs = 5:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V0,V1,V2), P_response-{F}(V1,V2,V3), P_response-{F}(V3,V2,V4) | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #79: mergings( V2 == V3; #77 ), references = 1, size of lhs = 7:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V1,V2,V0), P_response-{F}(V0,V2,V3), P_response-{F}(V4,V4,V3), P_response-{F}(V0,V4,V5), V0 == V5 | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #87: mergings( V2 == V3, V3 == V5; #84 ), references = 2, size of lhs = 7:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V0,V2,V0), P_response-{F}(V1,V3,V4), P_response-{F}(V4,V3,V5), P_response-{F}(V2,V5,V6), V4 == V6 | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #95: mergings( V2 == V3, V3 == V6; #92 ), references = 1, size of lhs = 6:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V0,V2,V0), P_response-{F}(V1,V3,V3), P_response-{F}(V0,V3,V4), V3 == V4 | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #107: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V8, V6 == V9; #101 ), references = 2, size of lhs = 5:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V1,V0), P_response-{F}(V0,V0,V2), P_response-{F}(V0,V2,V3), P_response-{F}(V2,V3,V4) | P_response-{T}(V3,V3,V4)
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #112: mergings( V3 == V4; #110 ), references = 3, size of lhs = 6:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V0,V1,V2), P_response-{F}(V2,V2,V3), P_response-{F}(V1,V2,V4), P_response-{F}(V0,V5,V4) | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #119: mergings( V3 == V5, V5 == V6; #116 ), references = 1, size of lhs = 4:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V1,V0), P_response-{F}(V0,V0,V2), P_response-{F}(V0,V2,V3) | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #122: mergings( V4 == V0; #120 ), references = 1, size of lhs = 3:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V1,V0), P_response-{F}(V0,V0,V2) | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #137: exists( #2, #112 ), references = 2, size of lhs = 5:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V0,V1,V2), P_response-{F}(V1,V2,V3), P_response-{F}(V0,V4,V3) | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #144: mergings( V2 == V3, V4 == V5; #140 ), references = 1, size of lhs = 5:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V0,V1,V2), P_response-{F}(V1,V2,V3), P_response-{F}(V1,V4,V3) | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #148: mergings( V3 == V4; #145 ), references = 1, size of lhs = 3:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V0,V1,V2) | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #152: mergings( V3 == V0; #149 ), references = 1, size of lhs = 2:
% 0.77/0.94     P_lark-{F}(V0), P_response-{F}(V0,V0,V1) | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #155: exists( #2, #149 ), references = 1, size of lhs = 1:
% 0.77/0.94     P_lark-{F}(V0) | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  #158: exists( #3, #153 ), references = 1, size of lhs = 0:
% 0.77/0.94     FALSE | FALSE
% 0.77/0.94        (used 0 times, uses = {})
% 0.77/0.94  
% 0.77/0.94  number of learnt formulas = 19
% 0.77/0.94  
% 0.77/0.94  
% 0.77/0.94  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.94  
% 0.77/0.94  randbase = 1
%------------------------------------------------------------------------------