TSTP Solution File: GRP540-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP540-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n003.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 06:04:04 EDT 2022

% Result   : Unsatisfiable 0.48s 0.63s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP540-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n003.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 14:39:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.48/0.63  GeoParameters:
% 0.48/0.63  
% 0.48/0.63  tptp_input =     1
% 0.48/0.63  tptp_output =    0
% 0.48/0.63  nonempty =       1
% 0.48/0.63  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.63  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.48/0.63  
% 0.48/0.63  
% 0.48/0.63  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.63  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.63  
% 0.48/0.63  RuleSystem INPUT:
% 0.48/0.63  
% 0.48/0.63  Initial Rules:
% 0.48/0.63  #0: input, references = 4, size of lhs = 5:
% 0.48/0.63     P_divide-{F}(V0,V1,V3), P_divide-{F}(V0,V2,V4), P_divide-{F}(V4,V1,V5), P_divide-{F}(V3,V5,V6), V6 == V2 | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #1: input, references = 5, size of lhs = 5:
% 0.48/0.63     P_multiply-{F}(V0,V1,V3), P_divide-{F}(V2,V2,V4), P_divide-{F}(V4,V1,V5), P_divide-{F}(V0,V5,V6), V3 == V6 | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #2: input, references = 5, size of lhs = 4:
% 0.48/0.63     P_inverse-{F}(V0,V2), P_divide-{F}(V1,V1,V3), P_divide-{F}(V3,V0,V4), V2 == V4 | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #3: input, references = 4, size of lhs = 3:
% 0.48/0.63     P_identity-{F}(V0), P_divide-{F}(V1,V1,V2), V0 == V2 | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #4: input, references = 6, size of lhs = 5:
% 0.48/0.63     P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V4), P_multiply-{F}(V2,V1,V4) | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #5: input, references = 7, size of lhs = 2:
% 0.48/0.63     #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #6: input, references = 6, size of lhs = 2:
% 0.48/0.63     #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #7: input, references = 7, size of lhs = 1:
% 0.48/0.63     #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #8: input, references = 4, size of lhs = 0:
% 0.48/0.63     FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #9: input, references = 4, size of lhs = 0:
% 0.48/0.63     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #10: input, references = 4, size of lhs = 0:
% 0.48/0.63     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  number of initial rules = 11
% 0.48/0.63  
% 0.48/0.63  Simplifiers:
% 0.48/0.63  #11: unsound, references = 3, size of lhs = 3:
% 0.48/0.63     P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #12: unsound, references = 3, size of lhs = 3:
% 0.48/0.63     P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #13: unsound, references = 3, size of lhs = 3:
% 0.48/0.63     P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #14: unsound, references = 3, size of lhs = 3:
% 0.48/0.63     P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #15: unsound, references = 3, size of lhs = 3:
% 0.48/0.63     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #16: unsound, references = 3, size of lhs = 3:
% 0.48/0.63     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  number of simplifiers = 6
% 0.48/0.63  
% 0.48/0.63  Learnt:
% 0.48/0.63  #18: exists( #5, #3 ), references = 5, size of lhs = 2:
% 0.48/0.63     P_identity-{F}(V0), #-{F} V1 | P_divide-{T}(V1,V1,V0)
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #20: exists( #6, #4 ), references = 1, size of lhs = 3:
% 0.48/0.63     P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #22: exists( #7, #2 ), references = 1, size of lhs = 2:
% 0.48/0.63     P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3) | P_inverse-{T}(V2,V3)
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #24: exists( #5, #2 ), references = 4, size of lhs = 2:
% 0.48/0.63     P_inverse-{F}(V0,V1), P_divide-{F}(V2,V2,V3) | P_divide-{T}(V3,V0,V1)
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #26: exists( #5, #0 ), references = 9, size of lhs = 3:
% 0.48/0.63     P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V3,V4), P_divide-{F}(V4,V1,V5) | P_divide-{T}(V2,V5,V3)
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #28: exists( #6, #1 ), references = 4, size of lhs = 3:
% 0.48/0.63     P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V3,V5) | P_multiply-{T}(V4,V2,V5)
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #38: mergings( V2 == V3; #36 ), references = 1, size of lhs = 8:
% 0.48/0.63     P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_divide-{F}(V3,V3,V2), P_divide-{F}(V4,V1,V2), P_divide-{F}(V5,V5,V2), P_divide-{F}(V6,V2,V0), P_divide-{F}(V7,V7,V6) | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #50: exists( #5, #48 ), references = 2, size of lhs = 7:
% 0.48/0.63     P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V5,V3), P_divide-{F}(V6,V4,V7), P_divide-{F}(V6,V8,V9), P_divide-{F}(V9,V5,V10), P_multiply-{F}(V10,V2,V11) | P_divide-{T}(V7,V8,V11)
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #55: exists( #6, #53 ), references = 1, size of lhs = 11:
% 0.48/0.63     P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_divide-{F}(V3,V3,V4), P_divide-{F}(V4,V2,V5), P_divide-{F}(V6,V7,V5), P_divide-{F}(V8,V6,V2), P_divide-{F}(V9,V7,V1), P_divide-{F}(V8,V10,V9), P_divide-{F}(V11,V1,V10), P_divide-{F}(V12,V12,V11) | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #60: exists( #7, #58 ), references = 1, size of lhs = 11:
% 0.48/0.63     P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_divide-{F}(V2,V2,V3), P_divide-{F}(V4,V3,V1), P_divide-{F}(V5,V5,V6), P_divide-{F}(V7,V2,V6), P_divide-{F}(V8,V8,V6), P_divide-{F}(V6,V9,V4), P_divide-{F}(V10,V1,V9), P_divide-{F}(V11,V11,V10) | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #67: mergings( V2 == V3; #65 ), references = 1, size of lhs = 11:
% 0.48/0.63     P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_divide-{F}(V2,V2,V0), P_divide-{F}(V3,V3,V4), P_divide-{F}(V5,V5,V4), P_divide-{F}(V6,V2,V4), P_divide-{F}(V7,V7,V4), P_divide-{F}(V8,V8,V4), P_divide-{F}(V9,V1,V4), P_divide-{F}(V9,V10,V4) | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #71: mergings( V1 == V2; #69 ), references = 2, size of lhs = 8:
% 0.48/0.63     P_identity-{F}(V0), P_a-{F}(V1), P_divide-{F}(V2,V2,V0), P_divide-{F}(V3,V3,V0), P_divide-{F}(V4,V4,V0), P_divide-{F}(V5,V5,V0), P_divide-{F}(V6,V1,V0), P_divide-{F}(V6,V7,V0) | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #74: exists( #9, #72 ), references = 1, size of lhs = 5:
% 0.48/0.63     P_identity-{F}(V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V2,V2,V0), P_divide-{F}(V3,V3,V0), P_divide-{F}(V4,V4,V0) | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  #77: exists( #8, #75 ), references = 1, size of lhs = 0:
% 0.48/0.63     FALSE | FALSE
% 0.48/0.63        (used 0 times, uses = {})
% 0.48/0.63  
% 0.48/0.63  number of learnt formulas = 14
% 0.48/0.63  
% 0.48/0.63  
% 0.48/0.63  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.63  
% 0.48/0.63  randbase = 1
%------------------------------------------------------------------------------