TSTP Solution File: GRP004-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n019.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 06:02:56 EDT 2022

% Result   : Unsatisfiable 0.19s 0.42s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n019.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 13:46:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.42  GeoParameters:
% 0.19/0.42  
% 0.19/0.42  tptp_input =     1
% 0.19/0.42  tptp_output =    0
% 0.19/0.42  nonempty =       1
% 0.19/0.42  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42  
% 0.19/0.42  RuleSystem INPUT:
% 0.19/0.42  
% 0.19/0.42  Initial Rules:
% 0.19/0.42  #0: input, references = 5, size of lhs = 2:
% 0.19/0.42     P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V2,V1,V0)
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  #1: input, references = 5, size of lhs = 2:
% 0.19/0.42     P_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V1)
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  #2: input, references = 4, size of lhs = 4:
% 0.19/0.42     P_identity-{F}(V0), product-{F}(V1,V2,V3), product-{F}(V5,V2,V4), product-{F}(V6,V5,V1) | product-{T}(V6,V4,V3)
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  #3: input, references = 4, size of lhs = 4:
% 0.19/0.42     P_identity-{F}(V0), product-{F}(V5,V2,V4), product-{F}(V6,V5,V1), product-{F}(V6,V4,V3) | product-{T}(V1,V2,V3)
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  #4: input, references = 4, size of lhs = 3:
% 0.19/0.42     P_identity-{F}(V0), P_a-{F}(V1), product-{F}(V1,V2,V0) | FALSE
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  #5: input, references = 5, size of lhs = 1:
% 0.19/0.42     #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  #6: input, references = 4, size of lhs = 0:
% 0.19/0.42     FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  #7: input, references = 4, size of lhs = 0:
% 0.19/0.42     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  number of initial rules = 8
% 0.19/0.42  
% 0.19/0.42  Simplifiers:
% 0.19/0.42  #8: unsound, references = 3, size of lhs = 3:
% 0.19/0.42     P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  #9: unsound, references = 3, size of lhs = 3:
% 0.19/0.42     P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  #10: unsound, references = 3, size of lhs = 3:
% 0.19/0.42     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  number of simplifiers = 3
% 0.19/0.42  
% 0.19/0.42  Learnt:
% 0.19/0.42  #29: mergings( V2 == V3, V3 == V4; #26 ), references = 1, size of lhs = 5:
% 0.19/0.42     P_identity-{F}(V0), P_a-{F}(V1), product-{F}(V0,V2,V1), product-{F}(V3,V2,V4), product-{F}(V4,V5,V3) | FALSE
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  #36: mergings( V2 == V3, V3 == V4, V4 == V5; #32 ), references = 1, size of lhs = 3:
% 0.19/0.42     P_identity-{F}(V0), P_a-{F}(V1), product-{F}(V0,V2,V1) | FALSE
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  #42: mergings( V1 == V2, V2 == V3, V3 == V4; #38 ), references = 1, size of lhs = 1:
% 0.19/0.42     P_identity-{F}(V0) | FALSE
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  #44: exists( #6, #38 ), references = 1, size of lhs = 0:
% 0.19/0.42     FALSE | FALSE
% 0.19/0.42        (used 0 times, uses = {})
% 0.19/0.42  
% 0.19/0.42  number of learnt formulas = 4
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42  
% 0.19/0.42  randbase = 1
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