TSTP Solution File: MGT013-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : MGT013-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n008.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 0.12s 0.38s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : MGT013-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n008.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 11:18:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.38  GeoParameters:
% 0.12/0.38  
% 0.12/0.38  tptp_input =     1
% 0.12/0.38  tptp_output =    0
% 0.12/0.38  nonempty =       1
% 0.12/0.38  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  
% 0.12/0.38  RuleSystem INPUT:
% 0.12/0.38  
% 0.12/0.38  Initial Rules:
% 0.12/0.38  #0: input, references = 4, size of lhs = 1:
% 0.12/0.38     greater-{F}(V1,V1) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #1: input, references = 3, size of lhs = 2:
% 0.12/0.38     greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #2: input, references = 5, size of lhs = 1:
% 0.12/0.38     organization-{F}(V1,V0) | time-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #3: input, references = 4, size of lhs = 3:
% 0.12/0.38     time-{F}(V0), time-{F}(V1), V1 == V0 | greater-{T}(V1,V0), greater-{T}(V0,V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #4: input, references = 4, size of lhs = 1:
% 0.12/0.38     reorganization_free-{F}(V0,V1,V2) | reorganization_free-{T}(V0,V2,V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #5: input, references = 4, size of lhs = 4:
% 0.12/0.38     organization-{F}(V2,V1), complexity-{F}(V2,V3,V1), complexity-{F}(V2,V4,V1), V4 == V3 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #6: input, references = 4, size of lhs = 7:
% 0.12/0.38     greater-{F}(V1,V0), organization-{F}(V2,V0), organization-{F}(V2,V1), reorganization_free-{F}(V2,V0,V1), size-{F}(V2,V3,V1), size-{F}(V2,V4,V0), greater-{F}(V4,V3) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #7: input, references = 3, size of lhs = 7:
% 0.12/0.38     greater-{F}(V1,V0), organization-{F}(V2,V0), organization-{F}(V2,V1), reorganization_free-{F}(V2,V0,V1), complexity-{F}(V2,V3,V1), complexity-{F}(V2,V4,V0), greater-{F}(V4,V3) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #8: input, references = 4, size of lhs = 2:
% 0.12/0.38     P_sk1-{F}(V0), P_sk6-{F}(V1) | organization-{T}(V0,V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #9: input, references = 4, size of lhs = 3:
% 0.12/0.38     P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2) | organization-{T}(V0,V2)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #10: input, references = 4, size of lhs = 3:
% 0.12/0.38     P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2) | reorganization_free-{T}(V0,V1,V2)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #11: input, references = 5, size of lhs = 4:
% 0.12/0.38     P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3) | complexity-{T}(V0,V3,V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #12: input, references = 5, size of lhs = 5:
% 0.12/0.38     P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V4) | complexity-{T}(V0,V4,V2)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #13: input, references = 4, size of lhs = 6:
% 0.12/0.38     P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V4), P_sk4-{F}(V5) | size-{T}(V0,V5,V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #14: input, references = 4, size of lhs = 7:
% 0.12/0.38     P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V4), P_sk4-{F}(V5), P_sk5-{F}(V6) | size-{T}(V0,V6,V2)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #15: input, references = 5, size of lhs = 7:
% 0.12/0.38     P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V4), P_sk4-{F}(V5), P_sk5-{F}(V6) | greater-{T}(V4,V3)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #16: input, references = 4, size of lhs = 7:
% 0.12/0.38     P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V4), P_sk4-{F}(V5), P_sk5-{F}(V6) | greater-{T}(V5,V6)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #17: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #18: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_sk6-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #19: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_sk7-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #20: input, references = 5, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #21: input, references = 5, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #22: input, references = 5, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_sk4-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #23: input, references = 5, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_sk5-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  number of initial rules = 24
% 0.12/0.38  
% 0.12/0.38  Simplifiers:
% 0.12/0.38  #24: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     organization-{F}(V0,V1), organization-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #25: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #26: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     complexity-{F}(V0,V1,V2), complexity-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #27: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     size-{F}(V0,V1,V2), size-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #28: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #29: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_sk6-{F}(V0), P_sk6-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #30: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_sk7-{F}(V0), P_sk7-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #31: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #32: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #33: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_sk4-{F}(V0), P_sk4-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #34: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_sk5-{F}(V0), P_sk5-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  number of simplifiers = 11
% 0.12/0.38  
% 0.12/0.38  Learnt:
% 0.12/0.38  #37: exists( #21, #35 ), references = 1, size of lhs = 6:
% 0.12/0.38     P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), organization-{F}(V0,V2), P_sk2-{F}(V3), complexity-{F}(V0,V4,V2) | P_sk3-{T}(V4)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #42: exists( #23, #38 ), references = 1, size of lhs = 6:
% 0.12/0.38     P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V3), P_sk4-{F}(V4) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #45: exists( #22, #40 ), references = 1, size of lhs = 5:
% 0.12/0.38     P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V3) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #57: mergings( V3 == V5, V1 == V4, V4 == V6, V6 == V2, V2 == V7; #50 ), references = 2, size of lhs = 4:
% 0.12/0.38     P_sk1-{F}(V0), organization-{F}(V0,V1), P_sk6-{F}(V1), P_sk7-{F}(V1) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #59: disj( #3, input ), references = 1, size of lhs = 9:
% 0.12/0.38     time-{F}(V0), time-{F}(V1), V1 == V0, organization-{F}(V2,V1), organization-{F}(V2,V0), reorganization_free-{F}(V2,V1,V0), complexity-{F}(V2,V3,V1), greater-{F}(V3,V4), complexity-{F}(V2,V4,V0) | greater-{T}(V1,V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #78: mergings( V1 == V20, V20 == V7, V7 == V13, V2 == V8, V8 == V14, V3 == V9, V9 == V15, V4 == V10, V10 == V16, V5 == V11, V11 == V17, V6 == V12, V12 == V18; #64 ), references = 1, size of lhs = 16:
% 0.12/0.38     time-{F}(V0), P_sk7-{F}(V0), P_sk1-{F}(V1), organization-{F}(V1,V0), P_sk6-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V4), complexity-{F}(V1,V4,V0), P_sk4-{F}(V5), time-{F}(V6), V0 == V6, reorganization_free-{F}(V1,V6,V0), size-{F}(V1,V5,V6), organization-{F}(V1,V6), reorganization_free-{F}(V1,V0,V6), complexity-{F}(V1,V3,V6) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #96: mergings( V5 == V20, V20 == V10, V10 == V15, V1 == V6, V6 == V11, V11 == V16, V2 == V7, V7 == V12, V12 == V17, V3 == V8, V8 == V13, V13 == V18, V4 == V9, V9 == V14, V14 == V19; #80 ), references = 1, size of lhs = 14:
% 0.12/0.38     time-{F}(V0), P_sk6-{F}(V0), time-{F}(V1), V1 == V0, P_sk7-{F}(V1), P_sk1-{F}(V2), reorganization_free-{F}(V2,V0,V1), organization-{F}(V2,V1), organization-{F}(V2,V0), reorganization_free-{F}(V2,V1,V0), P_sk2-{F}(V3), complexity-{F}(V2,V3,V0), P_sk3-{F}(V4), complexity-{F}(V2,V4,V1) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #113: mergings( V1 == V7, V7 == V11, V11 == V15, V2 == V4, V4 == V8, V8 == V12, V12 == V16, V5 == V9, V9 == V13, V13 == V17, V3 == V6, V6 == V10, V10 == V14, V14 == V18; #98 ), references = 1, size of lhs = 12:
% 0.12/0.38     time-{F}(V0), P_sk6-{F}(V0), time-{F}(V1), V1 == V0, P_sk7-{F}(V1), P_sk1-{F}(V2), organization-{F}(V2,V0), reorganization_free-{F}(V2,V0,V1), organization-{F}(V2,V1), reorganization_free-{F}(V2,V1,V0), P_sk2-{F}(V3), complexity-{F}(V2,V3,V0) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #127: mergings( V2 == V6, V6 == V9, V9 == V12, V3 == V4, V4 == V7, V7 == V10, V10 == V13, V1 == V5, V5 == V8, V8 == V11, V11 == V14; #115 ), references = 1, size of lhs = 10:
% 0.12/0.38     time-{F}(V0), P_sk6-{F}(V0), time-{F}(V1), V1 == V0, P_sk7-{F}(V1), P_sk1-{F}(V2), organization-{F}(V2,V0), reorganization_free-{F}(V2,V0,V1), organization-{F}(V2,V1), reorganization_free-{F}(V2,V1,V0) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #140: mergings( V4 == V6, V6 == V8, V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V9; #132 ), references = 1, size of lhs = 4:
% 0.12/0.38     time-{F}(V0), P_sk6-{F}(V0), P_sk1-{F}(V1), organization-{F}(V1,V0) | P_sk7-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #147: mergings( V1 == V2, V2 == V3; #144 ), references = 1, size of lhs = 1:
% 0.12/0.38     P_sk1-{F}(V0) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #149: exists( #17, #144 ), references = 1, size of lhs = 0:
% 0.12/0.38     FALSE | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  number of learnt formulas = 12
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  
% 0.12/0.38  randbase = 1
%------------------------------------------------------------------------------