TSTP Solution File: MGT002-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : MGT002-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n013.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 06:10:28 EDT 2022

% Result   : Unsatisfiable 0.12s 0.37s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : MGT002-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n013.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 11:12:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.37  GeoParameters:
% 0.12/0.37  
% 0.12/0.37  tptp_input =     1
% 0.12/0.37  tptp_output =    0
% 0.12/0.37  nonempty =       1
% 0.12/0.37  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  
% 0.12/0.37  RuleSystem INPUT:
% 0.12/0.37  
% 0.12/0.37  Initial Rules:
% 0.12/0.37  #0: input, references = 6, size of lhs = 2:
% 0.12/0.37     P_sk1-{F}(V1,V0,V2), organization-{F}(V0,V1) | reproducibility-{T}(V0,V2,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #1: input, references = 4, size of lhs = 1:
% 0.12/0.37     reorganization_free-{F}(V0,V1,V2) | reorganization_free-{T}(V0,V1,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #2: input, references = 4, size of lhs = 1:
% 0.12/0.37     reorganization_free-{F}(V0,V2,V1) | reorganization_free-{T}(V0,V1,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #3: input, references = 5, size of lhs = 9:
% 0.12/0.37     organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), organization-{F}(V3,V2), reorganization_free-{F}(V3,V2,V2), reproducibility-{F}(V0,V4,V1), reproducibility-{F}(V3,V5,V2), greater-{F}(V4,V5), inertia-{F}(V0,V6,V1), inertia-{F}(V3,V7,V2) | greater-{T}(V6,V7)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #4: input, references = 3, size of lhs = 9:
% 0.12/0.37     organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), organization-{F}(V3,V2), reorganization_free-{F}(V3,V2,V2), reproducibility-{F}(V0,V4,V1), reproducibility-{F}(V3,V5,V2), inertia-{F}(V0,V6,V1), inertia-{F}(V3,V7,V2), greater-{F}(V6,V7) | greater-{T}(V4,V5)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #5: input, references = 5, size of lhs = 6:
% 0.12/0.37     greater-{F}(V1,V0), organization-{F}(V2,V0), organization-{F}(V2,V1), reorganization_free-{F}(V2,V0,V1), reproducibility-{F}(V2,V3,V1), reproducibility-{F}(V2,V4,V0) | greater-{T}(V3,V4)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #6: input, references = 4, size of lhs = 2:
% 0.12/0.37     P_sk2-{F}(V0), P_sk5-{F}(V1) | organization-{T}(V0,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #7: input, references = 4, size of lhs = 3:
% 0.12/0.37     P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2) | organization-{T}(V0,V2)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #8: input, references = 4, size of lhs = 3:
% 0.12/0.37     P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2) | reorganization_free-{T}(V0,V1,V2)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #9: input, references = 5, size of lhs = 4:
% 0.12/0.37     P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3) | inertia-{T}(V0,V3,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #10: input, references = 5, size of lhs = 5:
% 0.12/0.37     P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4) | inertia-{T}(V0,V4,V2)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #11: input, references = 5, size of lhs = 5:
% 0.12/0.37     P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4) | greater-{T}(V2,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #12: input, references = 5, size of lhs = 6:
% 0.12/0.37     P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4), greater-{F}(V4,V3) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #13: input, references = 6, size of lhs = 2:
% 0.12/0.37     #-{F} V0, #-{F} V1 | EXISTS V2: P_sk1-{T}(V0,V1,V2)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #14: input, references = 4, size of lhs = 0:
% 0.12/0.37     FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #15: input, references = 4, size of lhs = 0:
% 0.12/0.37     FALSE | EXISTS V0: P_sk5-{T}(V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #16: input, references = 4, size of lhs = 0:
% 0.12/0.37     FALSE | EXISTS V0: P_sk6-{T}(V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #17: input, references = 5, size of lhs = 0:
% 0.12/0.37     FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #18: input, references = 5, size of lhs = 0:
% 0.12/0.37     FALSE | EXISTS V0: P_sk4-{T}(V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  number of initial rules = 19
% 0.12/0.37  
% 0.12/0.37  Simplifiers:
% 0.12/0.37  #19: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     organization-{F}(V0,V1), organization-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #20: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     reproducibility-{F}(V0,V1,V2), reproducibility-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #21: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     reproducibility-{F}(V0,V1,V2), reproducibility-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #22: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     inertia-{F}(V0,V1,V2), inertia-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #24: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     P_sk1-{F}(V0,V1,V2), P_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #25: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #26: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     P_sk5-{F}(V0), P_sk5-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #27: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     P_sk6-{F}(V0), P_sk6-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #28: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #29: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     P_sk4-{F}(V0), P_sk4-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  number of simplifiers = 11
% 0.12/0.37  
% 0.12/0.37  Learnt:
% 0.12/0.37  #34: exists( #13, #32 ), references = 1, size of lhs = 10:
% 0.12/0.37     P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4), greater-{F}(V5,V5), inertia-{F}(V6,V4,V5), organization-{F}(V6,V5), reorganization_free-{F}(V6,V5,V5), inertia-{F}(V6,V3,V5) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #45: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V8 == V9, V3 == V6, V6 == V10; #37 ), references = 1, size of lhs = 7:
% 0.12/0.37     P_sk2-{F}(V0), organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), P_sk5-{F}(V1), P_sk6-{F}(V1), P_sk3-{F}(V2), inertia-{F}(V0,V2,V1) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #54: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7, V1 == V7, V7 == V8; #47 ), references = 1, size of lhs = 5:
% 0.12/0.37     P_sk2-{F}(V0), organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), P_sk5-{F}(V1), P_sk6-{F}(V1) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #61: mergings( V1 == V10; #59 ), references = 1, size of lhs = 16:
% 0.12/0.37     P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4), organization-{F}(V5,V6), reorganization_free-{F}(V5,V6,V7), greater-{F}(V7,V6), organization-{F}(V5,V7), reorganization_free-{F}(V5,V7,V7), inertia-{F}(V5,V4,V7), reproducibility-{F}(V5,V8,V6), organization-{F}(V5,V9), reorganization_free-{F}(V5,V9,V9), reproducibility-{F}(V5,V8,V9), inertia-{F}(V5,V3,V9) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #64: exists( #13, #62 ), references = 1, size of lhs = 13:
% 0.12/0.37     P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4), organization-{F}(V5,V6), reorganization_free-{F}(V5,V6,V6), inertia-{F}(V5,V4,V6), greater-{F}(V6,V7), reorganization_free-{F}(V5,V7,V6), organization-{F}(V5,V7), reorganization_free-{F}(V5,V7,V7), inertia-{F}(V5,V3,V7) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #75: mergings( V1 == V4, V4 == V8, V2 == V5, V5 == V9, V6 == V10, V3 == V7, V7 == V11; #67 ), references = 1, size of lhs = 10:
% 0.12/0.37     P_sk2-{F}(V0), organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), P_sk5-{F}(V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V2), reorganization_free-{F}(V0,V1,V2), P_sk6-{F}(V2), P_sk3-{F}(V3), inertia-{F}(V0,V3,V1) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #84: mergings( V2 == V4, V4 == V7, V3 == V5, V5 == V8, V1 == V6, V6 == V9; #77 ), references = 1, size of lhs = 8:
% 0.12/0.37     P_sk2-{F}(V0), organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), P_sk5-{F}(V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V2), reorganization_free-{F}(V0,V1,V2), P_sk6-{F}(V2) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #95: mergings( V2 == V4, V4 == V6, V1 == V3, V3 == V5, V5 == V7; #89 ), references = 1, size of lhs = 3:
% 0.12/0.37     P_sk2-{F}(V0), organization-{F}(V0,V1), P_sk5-{F}(V1) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #100: mergings( V1 == V2, V2 == V3; #97 ), references = 1, size of lhs = 1:
% 0.12/0.37     P_sk2-{F}(V0) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #102: exists( #14, #97 ), references = 1, size of lhs = 0:
% 0.12/0.37     FALSE | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  number of learnt formulas = 10
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  
% 0.12/0.37  randbase = 1
%------------------------------------------------------------------------------