TSTP Solution File: MSC008-2.002 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : MSC008-2.002 : TPTP v8.1.0. Released v1.0.0.
% 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 06:10:49 EDT 2022

% Result   : Unsatisfiable 0.20s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : MSC008-2.002 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n004.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 21:01:36 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.46  GeoParameters:
% 0.20/0.46  
% 0.20/0.46  tptp_input =     1
% 0.20/0.46  tptp_output =    0
% 0.20/0.46  nonempty =       1
% 0.20/0.46  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  
% 0.20/0.46  RuleSystem INPUT:
% 0.20/0.46  
% 0.20/0.46  Initial Rules:
% 0.20/0.46  #0: input, references = 14, size of lhs = 3:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), eq-{F}(V0,V1) | FALSE
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #1: input, references = 3, size of lhs = 3:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), #-{F} V2 | eq-{T}(V2,V2)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #2: input, references = 7, size of lhs = 3:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), eq-{F}(V2,V3) | eq-{T}(V3,V2)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #3: input, references = 3, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), latin-{F}(V5,V4,V2), latin-{F}(V5,V4,V3) | eq-{T}(V3,V2)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #4: input, references = 6, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), latin-{F}(V5,V2,V4), latin-{F}(V5,V3,V4) | eq-{T}(V3,V2)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #5: input, references = 5, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), latin-{F}(V4,V2,V3), latin-{F}(V5,V2,V3) | eq-{T}(V4,V5)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #6: input, references = 4, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), greek-{F}(V5,V4,V2), greek-{F}(V5,V4,V3) | eq-{T}(V3,V2)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #7: input, references = 3, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), greek-{F}(V5,V2,V4), greek-{F}(V5,V3,V4) | eq-{T}(V3,V2)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #8: input, references = 4, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), greek-{F}(V4,V2,V3), greek-{F}(V5,V2,V3) | eq-{T}(V4,V5)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #9: input, references = 8, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), #-{F} V2, #-{F} V3 | latin-{T}(V2,V3,V0), latin-{T}(V2,V3,V1)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #10: input, references = 4, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), #-{F} V2, #-{F} V3 | latin-{T}(V2,V0,V3), latin-{T}(V2,V1,V3)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #11: input, references = 3, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), #-{F} V2, #-{F} V3 | latin-{T}(V0,V2,V3), latin-{T}(V1,V2,V3)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #12: input, references = 5, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), #-{F} V2, #-{F} V3 | greek-{T}(V2,V3,V0), greek-{T}(V2,V3,V1)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #13: input, references = 4, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), #-{F} V2, #-{F} V3 | greek-{T}(V2,V0,V3), greek-{T}(V2,V1,V3)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #14: input, references = 3, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), #-{F} V2, #-{F} V3 | greek-{T}(V0,V2,V3), greek-{T}(V1,V2,V3)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #15: input, references = 4, size of lhs = 6:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), greek-{F}(V5,V2,V6), greek-{F}(V4,V3,V6), latin-{F}(V5,V2,V7), latin-{F}(V4,V3,V7) | eq-{T}(V3,V2), eq-{T}(V4,V5)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #16: input, references = 4, size of lhs = 0:
% 0.20/0.46     FALSE | EXISTS V0: P_p1-{T}(V0)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #17: input, references = 4, size of lhs = 0:
% 0.20/0.46     FALSE | EXISTS V0: P_p2-{T}(V0)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  number of initial rules = 18
% 0.20/0.46  
% 0.20/0.46  Simplifiers:
% 0.20/0.46  #18: unsound, references = 3, size of lhs = 3:
% 0.20/0.46     P_p1-{F}(V0), P_p1-{F}(V1), V0 == V1 | FALSE
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #19: unsound, references = 3, size of lhs = 3:
% 0.20/0.46     P_p2-{F}(V0), P_p2-{F}(V1), V0 == V1 | FALSE
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  number of simplifiers = 2
% 0.20/0.46  
% 0.20/0.46  Learnt:
% 0.20/0.46  #27: mergings( V0 == V4, V4 == V3, V1 == V5, V5 == V6; #22 ), references = 2, size of lhs = 3:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), latin-{F}(V2,V1,V0) | latin-{T}(V2,V0,V1)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #34: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V2; #29 ), references = 2, size of lhs = 3:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), latin-{F}(V0,V2,V1) | latin-{T}(V1,V2,V0)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #41: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V2; #36 ), references = 2, size of lhs = 3:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), latin-{F}(V0,V0,V2) | latin-{T}(V1,V1,V2)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #51: mergings( V0 == V4, V4 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V3; #44 ), references = 4, size of lhs = 3:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), greek-{F}(V2,V1,V0) | greek-{T}(V2,V0,V1)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #58: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V2; #53 ), references = 4, size of lhs = 3:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), greek-{F}(V0,V2,V1) | greek-{T}(V1,V2,V0)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #65: mergings( V0 == V8, V8 == V2, V1 == V9, V9 == V5; #60 ), references = 3, size of lhs = 6:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), greek-{F}(V0,V2,V3), greek-{F}(V1,V4,V3), latin-{F}(V0,V2,V5), latin-{F}(V1,V4,V5) | eq-{T}(V4,V2)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #75: mergings( V0 == V3, V3 == V5, V5 == V2, V4 == V6, V6 == V1; #69 ), references = 2, size of lhs = 4:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), latin-{F}(V1,V0,V2), latin-{F}(V0,V1,V2) | greek-{T}(V0,V1,V0)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #87: mergings( V0 == V4, V4 == V6, V6 == V2, V1 == V5, V5 == V7, V7 == V3; #80 ), references = 1, size of lhs = 3:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), latin-{F}(V1,V0,V1) | latin-{T}(V0,V1,V0)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #103: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V0, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V10; #93 ), references = 1, size of lhs = 2:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1) | latin-{T}(V0,V0,V1)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #113: mergings( V0 == V4, V4 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V3; #106 ), references = 1, size of lhs = 3:
% 0.20/0.46     P_p1-{F}(V0), P_p2-{F}(V1), latin-{F}(V2,V0,V1) | latin-{T}(V2,V1,V0)
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #128: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #121 ), references = 1, size of lhs = 1:
% 0.20/0.46     P_p1-{F}(V0) | FALSE
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  #130: exists( #16, #121 ), references = 1, size of lhs = 0:
% 0.20/0.46     FALSE | FALSE
% 0.20/0.46        (used 0 times, uses = {})
% 0.20/0.46  
% 0.20/0.46  number of learnt formulas = 12
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  
% 0.20/0.46  randbase = 1
%------------------------------------------------------------------------------