TSTP Solution File: GRP455-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP455-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n004.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 06:03:55 EDT 2022

% Result   : Unsatisfiable 0.42s 0.61s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP455-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n004.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 13:40:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.42/0.61  GeoParameters:
% 0.42/0.61  
% 0.42/0.61  tptp_input =     1
% 0.42/0.61  tptp_output =    0
% 0.42/0.61  nonempty =       1
% 0.42/0.61  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.61  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.42/0.61  
% 0.42/0.61  
% 0.42/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.61  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.61  
% 0.42/0.61  RuleSystem INPUT:
% 0.42/0.61  
% 0.42/0.61  Initial Rules:
% 0.42/0.61  #0: input, references = 6, size of lhs = 9:
% 0.42/0.61     P_identity-{F}(V0), P_divide-{F}(V1,V1,V4), P_divide-{F}(V4,V1,V5), P_divide-{F}(V5,V3,V6), P_divide-{F}(V2,V6,V7), P_divide-{F}(V1,V7,V8), P_divide-{F}(V0,V8,V9), P_divide-{F}(V9,V3,V10), V10 == V2 | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #1: input, references = 5, size of lhs = 5:
% 0.42/0.61     P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_divide-{F}(V0,V2,V4), P_divide-{F}(V1,V4,V5), V3 == V5 | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #2: input, references = 5, size of lhs = 4:
% 0.42/0.61     P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V1,V3), V2 == V3 | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #3: input, references = 4, size of lhs = 3:
% 0.42/0.61     P_identity-{F}(V0), P_divide-{F}(V1,V1,V2), V0 == V2 | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #4: input, references = 4, size of lhs = 3:
% 0.42/0.61     P_identity-{F}(V0), P_a2-{F}(V1), P_multiply-{F}(V0,V1,V1) | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #5: input, references = 7, size of lhs = 2:
% 0.42/0.61     #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #6: input, references = 4, size of lhs = 0:
% 0.42/0.61     FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #7: input, references = 6, size of lhs = 2:
% 0.42/0.61     #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #8: input, references = 6, size of lhs = 1:
% 0.42/0.61     #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #9: input, references = 4, size of lhs = 0:
% 0.42/0.61     FALSE | EXISTS V0: P_a2-{T}(V0)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  number of initial rules = 10
% 0.42/0.61  
% 0.42/0.61  Simplifiers:
% 0.42/0.61  #10: unsound, references = 3, size of lhs = 3:
% 0.42/0.61     P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #11: unsound, references = 3, size of lhs = 3:
% 0.42/0.61     P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #12: unsound, references = 3, size of lhs = 3:
% 0.42/0.61     P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #13: unsound, references = 3, size of lhs = 3:
% 0.42/0.61     P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #14: unsound, references = 3, size of lhs = 3:
% 0.42/0.61     P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  number of simplifiers = 5
% 0.42/0.61  
% 0.42/0.61  Learnt:
% 0.42/0.61  #16: exists( #5, #3 ), references = 5, size of lhs = 2:
% 0.42/0.61     P_identity-{F}(V0), #-{F} V1 | P_divide-{T}(V1,V1,V0)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #18: exists( #8, #2 ), references = 1, size of lhs = 2:
% 0.42/0.61     P_identity-{F}(V0), P_divide-{F}(V0,V1,V2) | P_inverse-{T}(V1,V2)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #20: exists( #5, #2 ), references = 3, size of lhs = 2:
% 0.42/0.61     P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_divide-{T}(V0,V1,V2)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #22: exists( #5, #1 ), references = 5, size of lhs = 3:
% 0.42/0.61     P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_multiply-{F}(V3,V1,V4) | P_divide-{T}(V3,V2,V4)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #25: exists( #7, #1 ), references = 1, size of lhs = 3:
% 0.42/0.61     P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V2,V4) | P_multiply-{T}(V3,V1,V4)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #33: mergings( V3 == V4; #31 ), references = 4, size of lhs = 8:
% 0.42/0.61     P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V3,V4), P_divide-{F}(V4,V3,V5), P_divide-{F}(V5,V2,V6), P_divide-{F}(V7,V6,V8), P_divide-{F}(V3,V8,V9), P_divide-{F}(V0,V9,V10) | P_multiply-{T}(V10,V1,V7)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #55: mergings( V3 == V0, V0 == V4, V8 == V9, V4 == V5; #49 ), references = 1, size of lhs = 14:
% 0.42/0.61     P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V3,V4), P_divide-{F}(V5,V5,V6), P_divide-{F}(V6,V5,V7), P_divide-{F}(V7,V4,V8), P_divide-{F}(V5,V9,V2), P_divide-{F}(V10,V8,V9), P_divide-{F}(V11,V11,V12), P_divide-{F}(V12,V11,V13), P_divide-{F}(V13,V14,V4), P_divide-{F}(V11,V10,V15), P_divide-{F}(V0,V15,V16), P_divide-{F}(V16,V14,V17) | P_multiply-{T}(V0,V1,V17)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #87: mergings( V2 == V3, V3 == V4; #83 ), references = 1, size of lhs = 11:
% 0.42/0.61     P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V0,V3,V0), P_divide-{F}(V4,V4,V0), P_divide-{F}(V4,V5,V3), P_divide-{F}(V6,V0,V5), P_divide-{F}(V2,V7,V8), P_divide-{F}(V9,V8,V4), P_divide-{F}(V6,V7,V10), V10 == V9 | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #94: mergings( V4 == V5, V1 == V3, V3 == V5, V5 == V6; #89 ), references = 2, size of lhs = 3:
% 0.42/0.61     P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), #-{F} V1 | P_divide-{T}(V1,V0,V1)
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #106: mergings( V2 == V3, V3 == V4; #103 ), references = 1, size of lhs = 6:
% 0.42/0.61     P_identity-{F}(V0), P_a2-{F}(V1), P_divide-{F}(V1,V1,V0), P_divide-{F}(V1,V0,V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V0,V3,V0) | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #112: mergings( V1 == V2, V2 == V3; #109 ), references = 1, size of lhs = 2:
% 0.42/0.61     P_identity-{F}(V0), P_divide-{F}(V0,V0,V0) | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  #115: exists( #6, #113 ), references = 1, size of lhs = 0:
% 0.42/0.61     FALSE | FALSE
% 0.42/0.61        (used 0 times, uses = {})
% 0.42/0.61  
% 0.42/0.61  number of learnt formulas = 12
% 0.42/0.61  
% 0.42/0.61  
% 0.42/0.61  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.61  
% 0.42/0.61  randbase = 1
%------------------------------------------------------------------------------