TSTP Solution File: MGT041-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : MGT041-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n012.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 06:10:42 EDT 2022

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : MGT041-2 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Jul 22 11:12:53 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  GeoParameters:
% 0.14/0.36  
% 0.14/0.36  tptp_input =     1
% 0.14/0.36  tptp_output =    0
% 0.14/0.36  nonempty =       1
% 0.14/0.36  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.14/0.36  
% 0.14/0.36  
% 0.14/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  
% 0.14/0.36  RuleSystem INPUT:
% 0.14/0.36  
% 0.14/0.36  Initial Rules:
% 0.14/0.36  #0: input, references = 5, size of lhs = 4:
% 0.14/0.36     P_low-{F}(V0), P_high-{F}(V1), number_of_routines-{F}(V2,V3,V0), number_of_routines-{F}(V2,V3,V1) | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #1: input, references = 4, size of lhs = 5:
% 0.14/0.36     P_low-{F}(V0), P_high-{F}(V1), efficient_producer-{F}(V2), organisation_at_time-{F}(V2,V3), founding_time-{F}(V2,V3) | has_elaborated_routines-{T}(V2,V3)
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #2: input, references = 4, size of lhs = 5:
% 0.14/0.36     P_low-{F}(V0), P_high-{F}(V1), first_mover-{F}(V2), organisation_at_time-{F}(V2,V3), founding_time-{F}(V2,V3) | number_of_routines-{T}(V2,V3,V0)
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #3: input, references = 4, size of lhs = 4:
% 0.14/0.36     P_low-{F}(V0), P_high-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3) | organisation_at_time-{T}(V2,V3)
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #4: input, references = 4, size of lhs = 4:
% 0.14/0.36     P_low-{F}(V0), P_high-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3) | founding_time-{T}(V2,V3)
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #5: input, references = 5, size of lhs = 4:
% 0.14/0.36     P_low-{F}(V0), P_high-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3) | number_of_routines-{T}(V2,V3,V1)
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #6: input, references = 4, size of lhs = 5:
% 0.14/0.36     P_low-{F}(V0), P_high-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), has_elaborated_routines-{F}(V2,V3) | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #7: input, references = 4, size of lhs = 5:
% 0.14/0.36     P_low-{F}(V0), P_high-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), organisation_at_time-{F}(V4,V5) | first_mover-{T}(V4), efficient_producer-{T}(V4)
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #8: input, references = 4, size of lhs = 0:
% 0.14/0.36     FALSE | EXISTS V0: P_low-{T}(V0)
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #9: input, references = 4, size of lhs = 0:
% 0.14/0.36     FALSE | EXISTS V0: P_high-{T}(V0)
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #10: input, references = 5, size of lhs = 0:
% 0.14/0.36     FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #11: input, references = 5, size of lhs = 0:
% 0.14/0.36     FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  number of initial rules = 12
% 0.14/0.36  
% 0.14/0.36  Simplifiers:
% 0.14/0.36  #12: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     number_of_routines-{F}(V0,V1,V2), number_of_routines-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #13: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     number_of_routines-{F}(V0,V1,V2), number_of_routines-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #14: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     organisation_at_time-{F}(V0,V1), organisation_at_time-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #15: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     organisation_at_time-{F}(V0,V1), organisation_at_time-{F}(V2,V3), V1 == V3 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #16: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     efficient_producer-{F}(V0), efficient_producer-{F}(V1), V0 == V1 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #17: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     founding_time-{F}(V0,V1), founding_time-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #18: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     founding_time-{F}(V0,V1), founding_time-{F}(V2,V3), V1 == V3 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #19: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     has_elaborated_routines-{F}(V0,V1), has_elaborated_routines-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #20: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     has_elaborated_routines-{F}(V0,V1), has_elaborated_routines-{F}(V2,V3), V1 == V3 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #21: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     first_mover-{F}(V0), first_mover-{F}(V1), V0 == V1 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #22: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     P_low-{F}(V0), P_low-{F}(V1), V0 == V1 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #23: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     P_high-{F}(V0), P_high-{F}(V1), V0 == V1 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #24: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #25: unsound, references = 3, size of lhs = 3:
% 0.14/0.36     P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  number of simplifiers = 14
% 0.14/0.36  
% 0.14/0.36  Learnt:
% 0.14/0.36  #29: mergings( V1 == V3; #27 ), references = 1, size of lhs = 3:
% 0.14/0.36     P_sk1-{F}(V0), P_low-{F}(V1), P_high-{F}(V1) | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #32: mergings( V1 == V2; #30 ), references = 1, size of lhs = 2:
% 0.14/0.36     P_low-{F}(V0), P_high-{F}(V0) | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #39: mergings( V5 == V7, V0 == V8, V1 == V6, V6 == V9; #34 ), references = 1, size of lhs = 7:
% 0.14/0.36     P_sk1-{F}(V0), P_sk2-{F}(V1), P_low-{F}(V2), P_high-{F}(V3), organisation_at_time-{F}(V4,V5), founding_time-{F}(V4,V5), number_of_routines-{F}(V4,V5,V3) | efficient_producer-{T}(V4)
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #59: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V10, V10 == V12, V12 == V15, V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V8 == V14; #45 ), references = 1, size of lhs = 3:
% 0.14/0.36     P_sk1-{F}(V0), P_low-{F}(V1), P_high-{F}(V2) | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #73: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V13, V2 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14; #60 ), references = 1, size of lhs = 2:
% 0.14/0.36     P_low-{F}(V0), P_high-{F}(V1) | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #81: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #74 ), references = 1, size of lhs = 1:
% 0.14/0.36     P_low-{F}(V0) | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  #83: exists( #8, #74 ), references = 1, size of lhs = 0:
% 0.14/0.36     FALSE | FALSE
% 0.14/0.36        (used 0 times, uses = {})
% 0.14/0.36  
% 0.14/0.36  number of learnt formulas = 7
% 0.14/0.36  
% 0.14/0.36  
% 0.14/0.36  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  
% 0.14/0.36  randbase = 1
%------------------------------------------------------------------------------