TSTP Solution File: GRP003-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n005.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 0.18s 0.46s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n005.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 14:20:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.46  GeoParameters:
% 0.18/0.46  
% 0.18/0.46  tptp_input =     1
% 0.18/0.46  tptp_output =    0
% 0.18/0.46  nonempty =       1
% 0.18/0.46  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.46  
% 0.18/0.46  
% 0.18/0.46  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  
% 0.18/0.46  RuleSystem INPUT:
% 0.18/0.46  
% 0.18/0.46  Initial Rules:
% 0.18/0.46  #0: input, references = 6, size of lhs = 2:
% 0.18/0.46     P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V2,V1,V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #1: input, references = 6, size of lhs = 2:
% 0.18/0.46     P_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V1)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #2: input, references = 6, size of lhs = 4:
% 0.18/0.46     P_identity-{F}(V0), product-{F}(V1,V2,V3), product-{F}(V5,V2,V4), product-{F}(V6,V5,V1) | product-{T}(V6,V4,V3)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #3: input, references = 6, size of lhs = 4:
% 0.18/0.46     P_identity-{F}(V0), product-{F}(V5,V2,V4), product-{F}(V6,V5,V1), product-{F}(V6,V4,V3) | product-{T}(V1,V2,V3)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #4: input, references = 4, size of lhs = 3:
% 0.18/0.46     P_identity-{F}(V0), P_a-{F}(V1), product-{F}(V1,V0,V1) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #5: input, references = 6, size of lhs = 1:
% 0.18/0.46     #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #6: input, references = 4, size of lhs = 0:
% 0.18/0.46     FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #7: input, references = 4, size of lhs = 0:
% 0.18/0.46     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  number of initial rules = 8
% 0.18/0.46  
% 0.18/0.46  Simplifiers:
% 0.18/0.46  #8: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #9: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #10: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  number of simplifiers = 3
% 0.18/0.46  
% 0.18/0.46  Learnt:
% 0.18/0.46  #24: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #19 ), references = 2, size of lhs = 9:
% 0.18/0.46     P_identity-{F}(V0), P_a-{F}(V1), product-{F}(V0,V2,V3), product-{F}(V3,V4,V5), product-{F}(V1,V5,V6), product-{F}(V6,V7,V1), product-{F}(V4,V7,V8), product-{F}(V9,V2,V10), product-{F}(V10,V8,V9) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #52: mergings( V2 == V3, V3 == V4, V4 == V5; #48 ), references = 1, size of lhs = 11:
% 0.18/0.46     P_identity-{F}(V0), P_a-{F}(V1), product-{F}(V0,V2,V1), product-{F}(V0,V3,V1), product-{F}(V0,V4,V5), product-{F}(V5,V6,V7), product-{F}(V6,V2,V8), product-{F}(V9,V3,V10), product-{F}(V10,V7,V9), product-{F}(V11,V4,V12), product-{F}(V12,V8,V11) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #60: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #55 ), references = 1, size of lhs = 6:
% 0.18/0.46     P_identity-{F}(V0), P_a-{F}(V1), product-{F}(V0,V2,V1), product-{F}(V0,V3,V0), product-{F}(V4,V3,V5), product-{F}(V5,V0,V4) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #67: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #62 ), references = 1, size of lhs = 4:
% 0.18/0.46     P_identity-{F}(V0), product-{F}(V0,V1,V0), product-{F}(V2,V1,V3), product-{F}(V3,V0,V2) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #70: exists( #6, #68 ), references = 1, size of lhs = 0:
% 0.18/0.46     FALSE | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  number of learnt formulas = 5
% 0.18/0.46  
% 0.18/0.46  
% 0.18/0.46  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  
% 0.18/0.46  randbase = 1
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