TSTP Solution File: HEN004-5 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : HEN004-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n029.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 06:04:40 EDT 2022

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : HEN004-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n029.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
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Jul 22 21:13:26 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  GeoParameters:
% 0.19/0.44  
% 0.19/0.44  tptp_input =     1
% 0.19/0.44  tptp_output =    0
% 0.19/0.44  nonempty =       1
% 0.19/0.44  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  
% 0.19/0.44  RuleSystem INPUT:
% 0.19/0.44  
% 0.19/0.44  Initial Rules:
% 0.19/0.44  #0: input, references = 4, size of lhs = 4:
% 0.19/0.44     P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V3,V1,V4), V4 == V0 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #1: input, references = 4, size of lhs = 8:
% 0.19/0.44     P_zero-{F}(V0), P_divide-{F}(V1,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V4,V5,V6), P_divide-{F}(V1,V2,V7), P_divide-{F}(V7,V3,V8), P_divide-{F}(V6,V8,V9), V9 == V0 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #2: input, references = 4, size of lhs = 3:
% 0.19/0.44     P_zero-{F}(V0), P_divide-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #3: input, references = 6, size of lhs = 4:
% 0.19/0.44     P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V2,V1,V0), V1 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #4: input, references = 4, size of lhs = 4:
% 0.19/0.44     P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #5: input, references = 4, size of lhs = 4:
% 0.19/0.44     P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V2,V3), V3 == V0 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #6: input, references = 4, size of lhs = 4:
% 0.19/0.44     P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V2) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #7: input, references = 10, size of lhs = 2:
% 0.19/0.44     #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #8: input, references = 4, size of lhs = 0:
% 0.19/0.44     FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #9: input, references = 4, size of lhs = 0:
% 0.19/0.44     FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #10: input, references = 4, size of lhs = 0:
% 0.19/0.44     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  number of initial rules = 11
% 0.19/0.44  
% 0.19/0.44  Simplifiers:
% 0.19/0.44  #11: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #12: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #13: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #14: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  number of simplifiers = 4
% 0.19/0.44  
% 0.19/0.44  Learnt:
% 0.19/0.44  #16: exists( #7, #4 ), references = 1, size of lhs = 3:
% 0.19/0.44     P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V1,V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #18: exists( #7, #5 ), references = 2, size of lhs = 3:
% 0.19/0.44     P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V2,V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #21: exists( #7, #2 ), references = 4, size of lhs = 2:
% 0.19/0.44     P_zero-{F}(V0), #-{F} V1 | P_divide-{T}(V0,V1,V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #22: exists( #7, #0 ), references = 2, size of lhs = 2:
% 0.19/0.44     P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | P_divide-{T}(V3,V1,V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #25: exists( #7, #1 ), references = 2, size of lhs = 6:
% 0.19/0.44     P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V3,V5,V6), P_divide-{F}(V1,V4,V7), P_divide-{F}(V7,V2,V8) | P_divide-{T}(V6,V8,V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #31: exists( #7, #29 ), references = 2, size of lhs = 5:
% 0.19/0.44     P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V4), P_divide-{F}(V3,V5,V1), P_divide-{F}(V5,V2,V6) | P_divide-{T}(V4,V6,V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #37: exists( #7, #35 ), references = 1, size of lhs = 4:
% 0.19/0.44     P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V0), P_divide-{F}(V4,V1,V3) | P_divide-{T}(V4,V2,V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #43: exists( #7, #41 ), references = 2, size of lhs = 3:
% 0.19/0.44     P_identity-{F}(V0), P_zero-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V1,V2)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #47: mergings( V1 == V3; #45 ), references = 1, size of lhs = 2:
% 0.19/0.44     P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #49: exists( #9, #45 ), references = 1, size of lhs = 1:
% 0.19/0.44     P_zero-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #51: exists( #8, #48 ), references = 1, size of lhs = 0:
% 0.19/0.44     FALSE | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  number of learnt formulas = 11
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  
% 0.19/0.44  randbase = 1
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