TSTP Solution File: CAT011-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : CAT011-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n006.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 05:58:49 EDT 2022

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CAT011-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n006.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 07:24:48 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  GeoParameters:
% 0.12/0.35  
% 0.12/0.35  tptp_input =     1
% 0.12/0.35  tptp_output =    0
% 0.12/0.35  nonempty =       1
% 0.12/0.35  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.35  
% 0.12/0.35  
% 0.12/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  RuleSystem INPUT:
% 0.12/0.35  
% 0.12/0.35  Initial Rules:
% 0.12/0.35  #0: input, references = 4, size of lhs = 3:
% 0.12/0.35     P_domain-{F}(V0,V1), P_codomain-{F}(V1,V2), V2 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #1: input, references = 4, size of lhs = 3:
% 0.12/0.35     P_codomain-{F}(V0,V1), P_domain-{F}(V1,V2), V2 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #2: input, references = 3, size of lhs = 3:
% 0.12/0.35     P_domain-{F}(V0,V1), P_compose-{F}(V1,V0,V2), V2 == V0 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #3: input, references = 3, size of lhs = 3:
% 0.12/0.35     P_codomain-{F}(V0,V1), P_compose-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #4: input, references = 3, size of lhs = 6:
% 0.12/0.35     P_codomain-{F}(V0,V3), P_domain-{F}(V1,V3), P_compose-{F}(V0,V1,V4), P_domain-{F}(V4,V5), P_domain-{F}(V0,V6), V5 == V6 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #5: input, references = 4, size of lhs = 6:
% 0.12/0.35     P_codomain-{F}(V0,V3), P_domain-{F}(V1,V3), P_compose-{F}(V0,V1,V4), P_codomain-{F}(V4,V5), P_codomain-{F}(V1,V6), V5 == V6 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #6: input, references = 3, size of lhs = 9:
% 0.12/0.35     P_codomain-{F}(V0,V3), P_domain-{F}(V1,V3), P_domain-{F}(V0,V4), P_compose-{F}(V0,V1,V5), P_codomain-{F}(V6,V4), P_compose-{F}(V6,V5,V8), P_compose-{F}(V6,V0,V9), P_compose-{F}(V9,V1,V10), V8 == V10 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #7: input, references = 4, size of lhs = 3:
% 0.12/0.35     P_a-{F}(V0), P_domain-{F}(V0,V1), P_domain-{F}(V1,V1) | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #8: input, references = 4, size of lhs = 1:
% 0.12/0.35     #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #9: input, references = 5, size of lhs = 1:
% 0.12/0.35     #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #10: input, references = 3, size of lhs = 2:
% 0.12/0.35     #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #11: input, references = 4, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  number of initial rules = 12
% 0.12/0.35  
% 0.12/0.35  Simplifiers:
% 0.12/0.35  #12: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #13: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #14: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #15: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  number of simplifiers = 4
% 0.12/0.35  
% 0.12/0.35  Learnt:
% 0.12/0.35  #18: exists( #8, #0 ), references = 2, size of lhs = 1:
% 0.12/0.35     P_domain-{F}(V0,V1) | P_codomain-{T}(V1,V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #19: exists( #8, #5 ), references = 1, size of lhs = 4:
% 0.12/0.35     P_codomain-{F}(V0,V1), P_domain-{F}(V2,V1), P_compose-{F}(V0,V2,V3), P_codomain-{F}(V2,V4) | P_codomain-{T}(V3,V4)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #21: exists( #9, #1 ), references = 2, size of lhs = 1:
% 0.12/0.35     P_codomain-{F}(V0,V1) | P_domain-{T}(V1,V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #27: exists( #9, #25 ), references = 1, size of lhs = 1:
% 0.12/0.35     P_a-{F}(V0) | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #29: exists( #11, #26 ), references = 1, size of lhs = 0:
% 0.12/0.35     FALSE | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  number of learnt formulas = 5
% 0.12/0.35  
% 0.12/0.35  
% 0.12/0.35  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  randbase = 1
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