TSTP Solution File: MGT011-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : MGT011-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n011.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 06:10:31 EDT 2022

% Result   : Unsatisfiable 0.19s 0.36s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT011-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n011.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 11:12:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.36  GeoParameters:
% 0.19/0.36  
% 0.19/0.36  tptp_input =     1
% 0.19/0.36  tptp_output =    0
% 0.19/0.36  nonempty =       1
% 0.19/0.36  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.36  
% 0.19/0.36  
% 0.19/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36  
% 0.19/0.36  RuleSystem INPUT:
% 0.19/0.36  
% 0.19/0.36  Initial Rules:
% 0.19/0.36  #0: input, references = 5, size of lhs = 2:
% 0.19/0.36     P_sk1-{F}(V1,V0,V2), organization-{F}(V0,V1) | inertia-{T}(V0,V2,V1)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #1: input, references = 4, size of lhs = 1:
% 0.19/0.36     greater-{F}(V1,V1) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #2: input, references = 4, size of lhs = 2:
% 0.19/0.36     greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #3: input, references = 6, size of lhs = 2:
% 0.19/0.36     P_sk2-{F}(V1,V0,V2), organization-{F}(V0,V1) | class-{T}(V0,V2,V1)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #4: input, references = 4, size of lhs = 6:
% 0.19/0.36     organization-{F}(V0,V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V1), class-{F}(V0,V3,V1), class-{F}(V0,V4,V2), V4 == V3 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #5: input, references = 4, size of lhs = 9:
% 0.19/0.36     organization-{F}(V0,V1), organization-{F}(V3,V2), class-{F}(V3,V4,V2), class-{F}(V0,V4,V1), size-{F}(V0,V5,V1), size-{F}(V3,V6,V2), greater-{F}(V5,V6), inertia-{F}(V0,V7,V1), inertia-{F}(V3,V8,V2) | greater-{T}(V7,V8)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #6: input, references = 4, size of lhs = 6:
% 0.19/0.36     greater-{F}(V1,V0), organization-{F}(V2,V0), organization-{F}(V2,V1), reorganization_free-{F}(V2,V0,V1), inertia-{F}(V2,V3,V1), inertia-{F}(V2,V4,V0) | greater-{T}(V3,V4)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #7: input, references = 4, size of lhs = 2:
% 0.19/0.36     P_sk3-{F}(V0), P_sk6-{F}(V1) | organization-{T}(V0,V1)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #8: input, references = 4, size of lhs = 3:
% 0.19/0.36     P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2) | organization-{T}(V0,V2)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #9: input, references = 4, size of lhs = 3:
% 0.19/0.36     P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2) | reorganization_free-{T}(V0,V1,V2)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #10: input, references = 4, size of lhs = 4:
% 0.19/0.36     P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk4-{F}(V3) | size-{T}(V0,V3,V1)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #11: input, references = 4, size of lhs = 5:
% 0.19/0.36     P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk4-{F}(V3), P_sk5-{F}(V4) | size-{T}(V0,V4,V2)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #12: input, references = 5, size of lhs = 5:
% 0.19/0.36     P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk4-{F}(V3), P_sk5-{F}(V4) | greater-{T}(V2,V1)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #13: input, references = 4, size of lhs = 5:
% 0.19/0.36     P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk4-{F}(V3), P_sk5-{F}(V4) | greater-{T}(V3,V4)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #14: input, references = 5, size of lhs = 2:
% 0.19/0.36     #-{F} V0, #-{F} V1 | EXISTS V2: P_sk1-{T}(V0,V1,V2)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #15: input, references = 5, size of lhs = 2:
% 0.19/0.36     #-{F} V0, #-{F} V1 | EXISTS V2: P_sk2-{T}(V0,V1,V2)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #16: input, references = 4, size of lhs = 0:
% 0.19/0.36     FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #17: input, references = 4, size of lhs = 0:
% 0.19/0.36     FALSE | EXISTS V0: P_sk6-{T}(V0)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #18: input, references = 4, size of lhs = 0:
% 0.19/0.36     FALSE | EXISTS V0: P_sk7-{T}(V0)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #19: input, references = 5, size of lhs = 0:
% 0.19/0.36     FALSE | EXISTS V0: P_sk4-{T}(V0)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #20: input, references = 5, size of lhs = 0:
% 0.19/0.36     FALSE | EXISTS V0: P_sk5-{T}(V0)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  number of initial rules = 21
% 0.19/0.36  
% 0.19/0.36  Simplifiers:
% 0.19/0.36  #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     organization-{F}(V0,V1), organization-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     inertia-{F}(V0,V1,V2), inertia-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     inertia-{F}(V0,V1,V2), inertia-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     class-{F}(V0,V1,V2), class-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     class-{F}(V0,V1,V2), class-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     size-{F}(V0,V1,V2), size-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_sk1-{F}(V0,V1,V2), P_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_sk2-{F}(V0,V1,V2), P_sk2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_sk6-{F}(V0), P_sk6-{F}(V1), V0 == V1 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_sk7-{F}(V0), P_sk7-{F}(V1), V0 == V1 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_sk4-{F}(V0), P_sk4-{F}(V1), V0 == V1 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_sk5-{F}(V0), P_sk5-{F}(V1), V0 == V1 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  number of simplifiers = 16
% 0.19/0.36  
% 0.19/0.36  Learnt:
% 0.19/0.36  #41: exists( #20, #37 ), references = 1, size of lhs = 4:
% 0.19/0.36     P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V1), P_sk4-{F}(V2) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #44: exists( #19, #39 ), references = 1, size of lhs = 3:
% 0.19/0.36     P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V1) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #53: exists( #15, #51 ), references = 1, size of lhs = 4:
% 0.19/0.36     organization-{F}(V0,V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V1), class-{F}(V0,V3,V2) | P_sk2-{T}(V1,V0,V3)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #65: mergings( V1 == V8; #63 ), references = 1, size of lhs = 12:
% 0.19/0.36     organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V2), greater-{F}(V2,V1), organization-{F}(V0,V2), inertia-{F}(V0,V3,V1), class-{F}(V0,V4,V2), organization-{F}(V0,V5), inertia-{F}(V0,V3,V5), class-{F}(V0,V4,V5), size-{F}(V0,V6,V5), greater-{F}(V6,V7), size-{F}(V0,V7,V2) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #71: mergings( V4 == V0; #69 ), references = 1, size of lhs = 8:
% 0.19/0.36     organization-{F}(V0,V1), greater-{F}(V1,V2), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V1), inertia-{F}(V0,V3,V2), size-{F}(V0,V4,V2), greater-{F}(V4,V5), size-{F}(V0,V5,V1) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #74: exists( #14, #72 ), references = 1, size of lhs = 7:
% 0.19/0.36     organization-{F}(V0,V1), greater-{F}(V1,V2), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V1), size-{F}(V0,V3,V2), greater-{F}(V3,V4), size-{F}(V0,V4,V1) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #86: mergings( V1 == V4, V4 == V8, V2 == V5, V5 == V9, V6 == V10, V3 == V7, V7 == V11; #78 ), references = 1, size of lhs = 8:
% 0.19/0.36     P_sk3-{F}(V0), organization-{F}(V0,V1), P_sk6-{F}(V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V1,V2), P_sk7-{F}(V2), P_sk4-{F}(V3), size-{F}(V0,V3,V1) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #95: mergings( V2 == V4, V4 == V7, V3 == V5, V5 == V8, V1 == V6, V6 == V9; #88 ), references = 1, size of lhs = 6:
% 0.19/0.36     P_sk3-{F}(V0), organization-{F}(V0,V1), P_sk6-{F}(V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V1,V2), P_sk7-{F}(V2) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #104: mergings( V2 == V4, V4 == V6, V1 == V3, V3 == V5, V5 == V7; #98 ), references = 1, size of lhs = 3:
% 0.19/0.36     P_sk3-{F}(V0), organization-{F}(V0,V1), P_sk6-{F}(V1) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #109: mergings( V1 == V2, V2 == V3; #106 ), references = 1, size of lhs = 1:
% 0.19/0.36     P_sk3-{F}(V0) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #111: exists( #16, #106 ), references = 1, size of lhs = 0:
% 0.19/0.36     FALSE | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  number of learnt formulas = 11
% 0.19/0.36  
% 0.19/0.36  
% 0.19/0.36  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36  
% 0.19/0.36  randbase = 1
%------------------------------------------------------------------------------