TSTP Solution File: MGT059-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : MGT059-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n003.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 06:10:47 EDT 2022

% Result   : Unsatisfiable 0.18s 0.40s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT059-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n003.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 11:14:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.40  GeoParameters:
% 0.18/0.40  
% 0.18/0.40  tptp_input =     1
% 0.18/0.40  tptp_output =    0
% 0.18/0.40  nonempty =       1
% 0.18/0.40  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.40  
% 0.18/0.40  
% 0.18/0.40  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40  
% 0.18/0.40  RuleSystem INPUT:
% 0.18/0.40  
% 0.18/0.40  Initial Rules:
% 0.18/0.40  #0: input, references = 3, size of lhs = 2:
% 0.18/0.40     smaller_or_equal-{F}(V0,V1), V0 == V1 | smaller-{T}(V0,V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #1: input, references = 3, size of lhs = 1:
% 0.18/0.40     smaller-{F}(V0,V1) | smaller_or_equal-{T}(V0,V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #2: input, references = 3, size of lhs = 1:
% 0.18/0.40     #-{F} V1 | smaller_or_equal-{T}(V1,V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #3: input, references = 3, size of lhs = 2:
% 0.18/0.40     greater_or_equal-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #4: input, references = 3, size of lhs = 1:
% 0.18/0.40     greater-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #5: input, references = 3, size of lhs = 1:
% 0.18/0.40     #-{F} V1 | greater_or_equal-{T}(V1,V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #6: input, references = 3, size of lhs = 1:
% 0.18/0.40     smaller-{F}(V0,V1) | greater-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #7: input, references = 3, size of lhs = 1:
% 0.18/0.40     greater-{F}(V0,V1) | smaller-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #8: input, references = 3, size of lhs = 2:
% 0.18/0.40     greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #9: input, references = 3, size of lhs = 2:
% 0.18/0.40     greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #10: input, references = 3, size of lhs = 3:
% 0.18/0.40     #-{F} V0, #-{F} V1, V0 == V1 | smaller-{T}(V0,V1), greater-{T}(V0,V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #11: input, references = 7, size of lhs = 5:
% 0.18/0.40     P_very_low-{F}(V0), organization-{F}(V1), P_hazard_of_mortality-{F}(V1,V2,V3), has_immunity-{F}(V1,V2), V3 == V0 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #12: input, references = 5, size of lhs = 7:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1), organization-{F}(V2), P_hazard_of_mortality-{F}(V2,V3,V4), is_aligned-{F}(V2,V3), positional_advantage-{F}(V2,V3), V4 == V1 | has_immunity-{T}(V2,V3)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #13: input, references = 4, size of lhs = 7:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), organization-{F}(V3), P_hazard_of_mortality-{F}(V3,V4,V5), positional_advantage-{F}(V3,V4), V5 == V2 | has_immunity-{T}(V3,V4), is_aligned-{T}(V3,V4)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #14: input, references = 4, size of lhs = 8:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), organization-{F}(V4), P_hazard_of_mortality-{F}(V4,V5,V6), is_aligned-{F}(V4,V5), V6 == V3 | has_immunity-{T}(V4,V5), positional_advantage-{T}(V4,V5)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #15: input, references = 4, size of lhs = 8:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4), organization-{F}(V5), P_hazard_of_mortality-{F}(V5,V6,V7), V7 == V4 | has_immunity-{T}(V5,V6), is_aligned-{T}(V5,V6), positional_advantage-{T}(V5,V6)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #16: input, references = 4, size of lhs = 6:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4), P_sk1-{F}(V5) | organization-{T}(V5)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #17: input, references = 4, size of lhs = 7:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4), P_sk1-{F}(V5), P_sk2-{F}(V6) | has_immunity-{T}(V5,V6)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #18: input, references = 4, size of lhs = 8:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4), P_sk1-{F}(V5), P_sk2-{F}(V6), P_sk3-{F}(V7) | has_immunity-{T}(V5,V7)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #19: input, references = 5, size of lhs = 10:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4), P_sk1-{F}(V5), P_sk2-{F}(V6), P_sk3-{F}(V7), P_hazard_of_mortality-{F}(V5,V6,V9), P_hazard_of_mortality-{F}(V5,V7,V9) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #20: input, references = 6, size of lhs = 2:
% 0.18/0.40     #-{F} V0, #-{F} V1 | EXISTS V2: P_hazard_of_mortality-{T}(V0,V1,V2)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #21: input, references = 4, size of lhs = 0:
% 0.18/0.40     FALSE | EXISTS V0: P_very_low-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #22: input, references = 4, size of lhs = 0:
% 0.18/0.40     FALSE | EXISTS V0: P_low-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #23: input, references = 4, size of lhs = 0:
% 0.18/0.40     FALSE | EXISTS V0: P_mod1-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #24: input, references = 4, size of lhs = 0:
% 0.18/0.40     FALSE | EXISTS V0: P_mod2-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #25: input, references = 4, size of lhs = 0:
% 0.18/0.40     FALSE | EXISTS V0: P_high-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #26: input, references = 4, size of lhs = 0:
% 0.18/0.40     FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #27: input, references = 4, size of lhs = 0:
% 0.18/0.40     FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #28: input, references = 4, size of lhs = 0:
% 0.18/0.40     FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  number of initial rules = 29
% 0.18/0.40  
% 0.18/0.40  Simplifiers:
% 0.18/0.40  #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     organization-{F}(V0), organization-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     has_immunity-{F}(V0,V1), has_immunity-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     is_aligned-{F}(V0,V1), is_aligned-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     positional_advantage-{F}(V0,V1), positional_advantage-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     P_hazard_of_mortality-{F}(V0,V1,V2), P_hazard_of_mortality-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     P_very_low-{F}(V0), P_very_low-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     P_low-{F}(V0), P_low-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     P_mod1-{F}(V0), P_mod1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     P_mod2-{F}(V0), P_mod2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #38: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     P_high-{F}(V0), P_high-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #39: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #40: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #41: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  number of simplifiers = 13
% 0.18/0.40  
% 0.18/0.40  Learnt:
% 0.18/0.40  #43: exists( #20, #19 ), references = 1, size of lhs = 8:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4), P_sk1-{F}(V5), P_sk2-{F}(V6), P_sk3-{F}(V6) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #51: mergings( V6 == V10, V10 == V11, V0 == V7, V7 == V9, V1 == V8; #45 ), references = 1, size of lhs = 10:
% 0.18/0.40     P_mod1-{F}(V0), P_mod2-{F}(V1), P_low-{F}(V2), P_very_low-{F}(V3), organization-{F}(V4), is_aligned-{F}(V4,V5), P_hazard_of_mortality-{F}(V4,V5,V6), V6 == V1, V6 == V2, V6 == V3 | has_immunity-{T}(V4,V5)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #68: mergings( V7 == V9, V9 == V18, V18 == V19, V19 == V20, V20 == V21, V0 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V17, V1 == V11, V11 == V15, V2 == V12, V3 == V13; #53 ), references = 1, size of lhs = 11:
% 0.18/0.40     P_high-{F}(V0), P_mod1-{F}(V1), P_mod2-{F}(V2), P_low-{F}(V3), P_very_low-{F}(V4), organization-{F}(V5), P_hazard_of_mortality-{F}(V5,V6,V7), V7 == V0, V7 == V2, V7 == V3, V7 == V4 | positional_advantage-{T}(V5,V6)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #72: mergings( V5 == V7, V0 == V6; #69 ), references = 1, size of lhs = 8:
% 0.18/0.40     P_low-{F}(V0), P_mod1-{F}(V1), P_very_low-{F}(V2), organization-{F}(V3), positional_advantage-{F}(V3,V4), P_hazard_of_mortality-{F}(V3,V4,V5), V5 == V1, V5 == V2 | is_aligned-{T}(V3,V4)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #93: mergings( V3 == V8, V8 == V9, V9 == V13, V13 == V15, V15 == V16, V16 == V17, V17 == V20, V20 == V21, V21 == V23, V4 == V10, V10 == V14, V14 == V18, V18 == V22, V5 == V11, V11 == V19, V6 == V12; #76 ), references = 1, size of lhs = 7:
% 0.18/0.40     P_high-{F}(V0), P_mod2-{F}(V1), P_mod1-{F}(V2), P_low-{F}(V3), P_very_low-{F}(V4), organization-{F}(V5), #-{F} V6 | P_hazard_of_mortality-{T}(V5,V6,V0), P_hazard_of_mortality-{T}(V5,V6,V4), P_hazard_of_mortality-{T}(V5,V6,V1), P_hazard_of_mortality-{T}(V5,V6,V3), P_hazard_of_mortality-{T}(V5,V6,V2)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #95: exists( #20, #11 ), references = 2, size of lhs = 3:
% 0.18/0.40     P_very_low-{F}(V0), organization-{F}(V1), has_immunity-{F}(V1,V2) | P_hazard_of_mortality-{T}(V1,V2,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #107: mergings( V1 == V7, V7 == V9, V2 == V10, V3 == V11, V4 == V12, V5 == V13, V6 == V14; #99 ), references = 1, size of lhs = 9:
% 0.18/0.40     organization-{F}(V0), P_sk1-{F}(V0), P_very_low-{F}(V1), P_low-{F}(V2), P_mod1-{F}(V3), P_mod2-{F}(V4), P_high-{F}(V5), P_sk2-{F}(V6), P_hazard_of_mortality-{F}(V0,V6,V1) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #122: mergings( V1 == V6, V6 == V11, V11 == V13, V2 == V7, V7 == V14, V3 == V8, V8 == V15, V4 == V9, V9 == V16, V5 == V10, V10 == V17; #110 ), references = 1, size of lhs = 7:
% 0.18/0.40     organization-{F}(V0), P_sk1-{F}(V0), P_very_low-{F}(V1), P_low-{F}(V2), P_mod1-{F}(V3), P_mod2-{F}(V4), P_high-{F}(V5) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #141: mergings( V1 == V6, V6 == V11, V11 == V16, V16 == V17, V2 == V7, V7 == V12, V12 == V18, V3 == V8, V8 == V13, V13 == V19, V4 == V9, V9 == V14, V14 == V20, V5 == V10, V10 == V15, V15 == V21; #124 ), references = 1, size of lhs = 5:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #156: mergings( V1 == V5, V5 == V9, V9 == V13, V13 == V14, V2 == V6, V6 == V10, V10 == V15, V3 == V7, V7 == V11, V11 == V16, V4 == V8, V8 == V12, V12 == V17; #142 ), references = 1, size of lhs = 4:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #168: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V11, V2 == V5, V5 == V8, V8 == V12, V3 == V6, V6 == V9, V9 == V13; #157 ), references = 1, size of lhs = 3:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #177: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V2 == V4, V4 == V6, V6 == V9; #169 ), references = 1, size of lhs = 2:
% 0.18/0.40     P_very_low-{F}(V0), P_low-{F}(V1) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #183: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #178 ), references = 1, size of lhs = 1:
% 0.18/0.40     P_very_low-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #185: exists( #21, #178 ), references = 1, size of lhs = 0:
% 0.18/0.40     FALSE | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  number of learnt formulas = 14
% 0.18/0.40  
% 0.18/0.40  
% 0.18/0.40  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40  
% 0.18/0.40  randbase = 1
%------------------------------------------------------------------------------