TSTP Solution File: BOO018-4 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : BOO018-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n018.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 05:58:39 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : BOO018-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n018.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 08:44:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  GeoParameters:
% 0.18/0.49  
% 0.18/0.49  tptp_input =     1
% 0.18/0.49  tptp_output =    0
% 0.18/0.49  nonempty =       1
% 0.18/0.49  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  
% 0.18/0.49  RuleSystem INPUT:
% 0.18/0.49  
% 0.18/0.49  Initial Rules:
% 0.18/0.49  #0: input, references = 4, size of lhs = 3:
% 0.18/0.49     P_add-{F}(V0,V1,V2), P_add-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #1: input, references = 4, size of lhs = 3:
% 0.18/0.49     P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #2: input, references = 4, size of lhs = 6:
% 0.18/0.49     P_multiply-{F}(V1,V2,V3), P_add-{F}(V0,V3,V4), P_add-{F}(V0,V1,V5), P_add-{F}(V0,V2,V6), P_multiply-{F}(V5,V6,V7), V4 == V7 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #3: input, references = 4, size of lhs = 6:
% 0.18/0.49     P_add-{F}(V1,V2,V3), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V0,V1,V5), P_multiply-{F}(V0,V2,V6), P_add-{F}(V5,V6,V7), V4 == V7 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #4: input, references = 5, size of lhs = 3:
% 0.18/0.50     P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #5: input, references = 4, size of lhs = 4:
% 0.18/0.50     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V2,V1,V3), V3 == V2 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #6: input, references = 4, size of lhs = 5:
% 0.18/0.50     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3), P_add-{F}(V2,V3,V4), V4 == V1 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #7: input, references = 4, size of lhs = 5:
% 0.18/0.50     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), V4 == V0 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #8: input, references = 4, size of lhs = 3:
% 0.18/0.50     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V1,V0) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #9: input, references = 6, size of lhs = 2:
% 0.18/0.50     #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #10: input, references = 7, size of lhs = 2:
% 0.18/0.50     #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #11: input, references = 4, size of lhs = 0:
% 0.18/0.50     FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #12: input, references = 4, size of lhs = 0:
% 0.18/0.50     FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #13: input, references = 5, size of lhs = 1:
% 0.18/0.50     #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  number of initial rules = 14
% 0.18/0.50  
% 0.18/0.50  Simplifiers:
% 0.18/0.50  #14: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #15: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #16: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #17: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #18: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  number of simplifiers = 5
% 0.18/0.50  
% 0.18/0.50  Learnt:
% 0.18/0.50  #20: exists( #9, #6 ), references = 2, size of lhs = 3:
% 0.18/0.50     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_add-{T}(V2,V3,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #23: exists( #9, #0 ), references = 1, size of lhs = 1:
% 0.18/0.50     P_add-{F}(V0,V1,V2) | P_add-{T}(V1,V0,V2)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #28: mergings( V2 == V0; #26 ), references = 1, size of lhs = 2:
% 0.18/0.50     P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | P_inverse-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #31: exists( #9, #4 ), references = 2, size of lhs = 2:
% 0.18/0.50     P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #34: exists( #10, #7 ), references = 2, size of lhs = 3:
% 0.18/0.50     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_multiply-{T}(V2,V3,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #40: exists( #10, #38 ), references = 1, size of lhs = 4:
% 0.18/0.50     P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V2,V4), P_multiply-{F}(V1,V4,V5) | P_multiply-{T}(V1,V3,V5)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #47: exists( #10, #2 ), references = 1, size of lhs = 4:
% 0.18/0.50     P_multiply-{F}(V0,V1,V2), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V0,V5), P_add-{F}(V3,V1,V6) | P_multiply-{T}(V5,V6,V4)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #54: exists( #10, #1 ), references = 2, size of lhs = 1:
% 0.18/0.50     P_multiply-{F}(V0,V1,V2) | P_multiply-{T}(V1,V0,V2)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #78: mergings( V2 == V4, V3 == V0; #73 ), references = 1, size of lhs = 2:
% 0.18/0.50     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #82: mergings( V1 == V2; #80 ), references = 1, size of lhs = 1:
% 0.18/0.50     P_additive_identity-{F}(V0) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #84: exists( #11, #80 ), references = 1, size of lhs = 0:
% 0.18/0.50     FALSE | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  number of learnt formulas = 11
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50  
% 0.18/0.50  randbase = 1
%------------------------------------------------------------------------------