TSTP Solution File: CAT019-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : CAT019-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n023.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 05:58:52 EDT 2022

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CAT019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Jul 22 07:43:50 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  GeoParameters:
% 0.13/0.34  
% 0.13/0.34  tptp_input =     1
% 0.13/0.34  tptp_output =    0
% 0.13/0.34  nonempty =       1
% 0.13/0.34  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.13/0.34  
% 0.13/0.34  
% 0.13/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  
% 0.13/0.34  RuleSystem INPUT:
% 0.13/0.34  
% 0.13/0.34  Initial Rules:
% 0.13/0.34  #0: input, references = 3, size of lhs = 2:
% 0.13/0.34     P_compose-{F}(V0,V1,V2), defined-{F}(V0,V1) | product-{T}(V0,V1,V2)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #1: input, references = 3, size of lhs = 1:
% 0.13/0.34     product-{F}(V0,V1,V2) | defined-{T}(V0,V1)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #2: input, references = 3, size of lhs = 2:
% 0.13/0.34     defined-{F}(V1,V0), product-{F}(V3,V2,V1) | defined-{T}(V2,V0)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #3: input, references = 3, size of lhs = 3:
% 0.13/0.34     defined-{F}(V1,V0), product-{F}(V3,V0,V2), product-{F}(V4,V3,V1) | defined-{T}(V4,V2)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #4: input, references = 3, size of lhs = 3:
% 0.13/0.34     product-{F}(V1,V0,V2), product-{F}(V4,V0,V3), product-{F}(V5,V4,V1) | product-{T}(V5,V3,V2)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #5: input, references = 3, size of lhs = 2:
% 0.13/0.34     product-{F}(V0,V2,V1), defined-{F}(V3,V1) | defined-{T}(V3,V0)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #6: input, references = 3, size of lhs = 3:
% 0.13/0.34     product-{F}(V3,V0,V2), product-{F}(V4,V3,V1), defined-{F}(V4,V2) | defined-{T}(V1,V0)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #7: input, references = 3, size of lhs = 3:
% 0.13/0.34     product-{F}(V4,V0,V3), product-{F}(V5,V3,V2), product-{F}(V5,V4,V1) | product-{T}(V1,V0,V2)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #8: input, references = 3, size of lhs = 3:
% 0.13/0.34     identity_map-{F}(V0), defined-{F}(V0,V1), defined-{F}(V2,V0) | defined-{T}(V2,V1)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #9: input, references = 3, size of lhs = 1:
% 0.13/0.34     P_domain-{F}(V0,V1) | identity_map-{T}(V1)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #10: input, references = 3, size of lhs = 1:
% 0.13/0.34     P_codomain-{F}(V0,V1) | identity_map-{T}(V1)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #11: input, references = 3, size of lhs = 1:
% 0.13/0.34     P_domain-{F}(V0,V1) | defined-{T}(V0,V1)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #12: input, references = 3, size of lhs = 1:
% 0.13/0.34     P_codomain-{F}(V0,V1) | defined-{T}(V1,V0)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #13: input, references = 3, size of lhs = 1:
% 0.13/0.34     P_domain-{F}(V0,V1) | product-{T}(V0,V1,V0)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #14: input, references = 3, size of lhs = 1:
% 0.13/0.34     P_codomain-{F}(V0,V1) | product-{T}(V1,V0,V0)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #15: input, references = 3, size of lhs = 2:
% 0.13/0.34     identity_map-{F}(V0), defined-{F}(V0,V1) | product-{T}(V0,V1,V1)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #16: input, references = 3, size of lhs = 2:
% 0.13/0.34     identity_map-{F}(V0), defined-{F}(V1,V0) | product-{T}(V1,V0,V1)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #17: input, references = 3, size of lhs = 3:
% 0.13/0.34     product-{F}(V3,V2,V0), product-{F}(V3,V2,V1), V0 == V1 | FALSE
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #18: input, references = 4, size of lhs = 3:
% 0.13/0.34     P_c2-{F}(V2), P_c1-{F}(V1), V1 == V2 | FALSE
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #19: input, references = 3, size of lhs = 3:
% 0.13/0.34     P_c2-{F}(V0), P_c1-{F}(V2), V0 == V2 | FALSE
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #20: input, references = 4, size of lhs = 2:
% 0.13/0.34     P_c2-{F}(V1), P_c1-{F}(V1) | FALSE
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #21: input, references = 3, size of lhs = 2:
% 0.13/0.34     #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #22: input, references = 3, size of lhs = 1:
% 0.13/0.34     #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #23: input, references = 3, size of lhs = 1:
% 0.13/0.34     #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #24: input, references = 4, size of lhs = 0:
% 0.13/0.34     FALSE | EXISTS V0: P_c2-{T}(V0)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #25: input, references = 4, size of lhs = 0:
% 0.13/0.34     FALSE | EXISTS V0: P_c1-{T}(V0)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  number of initial rules = 26
% 0.13/0.34  
% 0.13/0.34  Simplifiers:
% 0.13/0.34  #26: unsound, references = 3, size of lhs = 3:
% 0.13/0.34     P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #27: unsound, references = 3, size of lhs = 3:
% 0.13/0.34     P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #28: unsound, references = 3, size of lhs = 3:
% 0.13/0.34     P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #29: unsound, references = 3, size of lhs = 3:
% 0.13/0.34     P_c2-{F}(V0), P_c2-{F}(V1), V0 == V1 | FALSE
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #30: unsound, references = 3, size of lhs = 3:
% 0.13/0.34     P_c1-{F}(V0), P_c1-{F}(V1), V0 == V1 | FALSE
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  number of simplifiers = 5
% 0.13/0.34  
% 0.13/0.34  Learnt:
% 0.13/0.34  #33: exists( #25, #18 ), references = 1, size of lhs = 1:
% 0.13/0.34     P_c2-{F}(V0) | P_c1-{T}(V0)
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  #36: exists( #24, #34 ), references = 1, size of lhs = 0:
% 0.13/0.34     FALSE | FALSE
% 0.13/0.34        (used 0 times, uses = {})
% 0.13/0.34  
% 0.13/0.34  number of learnt formulas = 2
% 0.13/0.34  
% 0.13/0.34  
% 0.13/0.34  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  
% 0.13/0.34  randbase = 1
%------------------------------------------------------------------------------