TSTP Solution File: MGT045-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : MGT045-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n027.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 06:10:43 EDT 2022

% Result   : Unsatisfiable 0.18s 0.37s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : MGT045-1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n027.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 11:29:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.37  GeoParameters:
% 0.18/0.37  
% 0.18/0.37  tptp_input =     1
% 0.18/0.37  tptp_output =    0
% 0.18/0.37  nonempty =       1
% 0.18/0.37  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37  
% 0.18/0.37  RuleSystem INPUT:
% 0.18/0.37  
% 0.18/0.37  Initial Rules:
% 0.18/0.37  #0: input, references = 3, size of lhs = 2:
% 0.18/0.37     smaller_or_equal-{F}(V0,V1), V0 == V1 | smaller-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #1: input, references = 3, size of lhs = 1:
% 0.18/0.37     smaller-{F}(V0,V1) | smaller_or_equal-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #2: input, references = 3, size of lhs = 1:
% 0.18/0.37     #-{F} V1 | smaller_or_equal-{T}(V1,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #3: input, references = 3, size of lhs = 2:
% 0.18/0.37     greater_or_equal-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #4: input, references = 3, size of lhs = 1:
% 0.18/0.37     greater-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #5: input, references = 3, size of lhs = 1:
% 0.18/0.37     #-{F} V1 | greater_or_equal-{T}(V1,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #6: input, references = 3, size of lhs = 1:
% 0.18/0.37     smaller-{F}(V0,V1) | greater-{T}(V1,V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #7: input, references = 3, size of lhs = 1:
% 0.18/0.37     greater-{F}(V0,V1) | smaller-{T}(V1,V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #8: input, references = 4, size of lhs = 2:
% 0.18/0.37     greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #9: input, references = 3, size of lhs = 2:
% 0.18/0.37     greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #10: input, references = 3, size of lhs = 3:
% 0.18/0.37     #-{F} V0, #-{F} V1, V0 == V1 | smaller-{T}(V0,V1), greater-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #11: input, references = 4, size of lhs = 6:
% 0.18/0.37     organization-{F}(V0), P_external_ties-{F}(V0,V2,V3), P_external_ties-{F}(V0,V1,V4), P_position-{F}(V0,V2,V5), P_position-{F}(V0,V1,V6), greater-{F}(V3,V4) | greater-{T}(V5,V6)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #12: input, references = 4, size of lhs = 6:
% 0.18/0.37     organization-{F}(V0), P_external_ties-{F}(V0,V2,V4), P_external_ties-{F}(V0,V1,V4), P_position-{F}(V0,V2,V5), P_position-{F}(V0,V1,V6), V5 == V6 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #13: input, references = 5, size of lhs = 6:
% 0.18/0.37     organization-{F}(V0), P_age-{F}(V0,V2,V3), P_age-{F}(V0,V1,V4), P_external_ties-{F}(V0,V2,V5), P_external_ties-{F}(V0,V1,V6), greater-{F}(V3,V4) | greater-{T}(V5,V6)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #14: input, references = 4, size of lhs = 1:
% 0.18/0.37     P_sk1-{F}(V0) | organization-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #15: input, references = 5, size of lhs = 5:
% 0.18/0.37     P_sk1-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_age-{F}(V0,V3,V4) | greater-{T}(V2,V4)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #16: input, references = 4, size of lhs = 8:
% 0.18/0.37     P_sk1-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_age-{F}(V0,V3,V4), P_position-{F}(V0,V1,V5), P_position-{F}(V0,V3,V6), greater-{F}(V5,V6) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #17: input, references = 5, size of lhs = 2:
% 0.18/0.37     #-{F} V0, #-{F} V1 | EXISTS V2: P_external_ties-{T}(V0,V1,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #18: input, references = 6, size of lhs = 2:
% 0.18/0.37     #-{F} V0, #-{F} V1 | EXISTS V2: P_position-{T}(V0,V1,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #19: input, references = 7, size of lhs = 2:
% 0.18/0.37     #-{F} V0, #-{F} V1 | EXISTS V2: P_age-{T}(V0,V1,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #20: input, references = 4, size of lhs = 0:
% 0.18/0.37     FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #21: input, references = 4, size of lhs = 0:
% 0.18/0.37     FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #22: input, references = 4, size of lhs = 0:
% 0.18/0.37     FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  number of initial rules = 23
% 0.18/0.37  
% 0.18/0.37  Simplifiers:
% 0.18/0.37  #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     organization-{F}(V0), organization-{F}(V1), V0 == V1 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_external_ties-{F}(V0,V1,V2), P_external_ties-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_position-{F}(V0,V1,V2), P_position-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_age-{F}(V0,V1,V2), P_age-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  number of simplifiers = 7
% 0.18/0.37  
% 0.18/0.37  Learnt:
% 0.18/0.37  #31: exists( #18, #12 ), references = 1, size of lhs = 4:
% 0.18/0.37     organization-{F}(V0), P_external_ties-{F}(V0,V1,V2), P_external_ties-{F}(V0,V3,V2), P_position-{F}(V0,V3,V4) | P_position-{T}(V0,V1,V4)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #36: exists( #19, #34 ), references = 1, size of lhs = 8:
% 0.18/0.37     P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_age-{F}(V0,V4,V2), P_external_ties-{F}(V0,V4,V5), P_external_ties-{F}(V0,V3,V5) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #38: exists( #19, #35 ), references = 1, size of lhs = 6:
% 0.18/0.37     P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2), P_external_ties-{F}(V0,V1,V3), P_external_ties-{F}(V0,V2,V3) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #47: mergings( V0 == V5, V3 == V6, V4 == V7; #43 ), references = 1, size of lhs = 14:
% 0.18/0.37     P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_position-{F}(V0,V1,V4), P_position-{F}(V0,V5,V4), P_external_ties-{F}(V0,V5,V6), P_external_ties-{F}(V0,V7,V6), P_age-{F}(V0,V7,V2), P_external_ties-{F}(V0,V3,V8), P_external_ties-{F}(V0,V9,V8), P_position-{F}(V0,V9,V10), P_position-{F}(V0,V3,V10) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #51: mergings( V3 == V5, V4 == V6; #48 ), references = 1, size of lhs = 11:
% 0.18/0.37     P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_position-{F}(V0,V1,V4), P_position-{F}(V0,V5,V4), P_external_ties-{F}(V0,V5,V6), P_external_ties-{F}(V0,V7,V6), P_age-{F}(V0,V7,V2), P_external_ties-{F}(V0,V3,V8) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #53: exists( #19, #48 ), references = 1, size of lhs = 9:
% 0.18/0.37     P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2), P_position-{F}(V0,V1,V3), P_position-{F}(V0,V4,V3), P_external_ties-{F}(V0,V4,V5), P_external_ties-{F}(V0,V1,V5), P_external_ties-{F}(V0,V2,V6) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #55: exists( #18, #52 ), references = 1, size of lhs = 6:
% 0.18/0.37     P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2), P_external_ties-{F}(V0,V1,V3), P_external_ties-{F}(V0,V2,V4) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #57: exists( #17, #54 ), references = 1, size of lhs = 5:
% 0.18/0.37     P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2), P_external_ties-{F}(V0,V1,V3) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #59: exists( #17, #56 ), references = 1, size of lhs = 4:
% 0.18/0.37     P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #61: exists( #22, #58 ), references = 1, size of lhs = 3:
% 0.18/0.37     P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #63: exists( #21, #60 ), references = 1, size of lhs = 2:
% 0.18/0.37     P_sk1-{F}(V0), organization-{F}(V0) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #66: exists( #20, #64 ), references = 1, size of lhs = 0:
% 0.18/0.37     FALSE | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  number of learnt formulas = 12
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37  
% 0.18/0.37  randbase = 1
%------------------------------------------------------------------------------