TSTP Solution File: SYN083-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN083-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n014.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 06:23:41 EDT 2022

% Result   : Unsatisfiable 0.63s 0.81s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN083-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n014.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 : Sat Jul 23 03:06:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.63/0.81  GeoParameters:
% 0.63/0.81  
% 0.63/0.81  tptp_input =     1
% 0.63/0.81  tptp_output =    0
% 0.63/0.81  nonempty =       1
% 0.63/0.81  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.81  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.63/0.81  
% 0.63/0.81  
% 0.63/0.81  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.81  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.81  
% 0.63/0.81  RuleSystem INPUT:
% 0.63/0.81  
% 0.63/0.81  Initial Rules:
% 0.63/0.81  #0: input, references = 5, size of lhs = 5:
% 0.63/0.81     P_f-{F}(V1,V2,V3), P_f-{F}(V0,V3,V4), P_f-{F}(V0,V1,V5), P_f-{F}(V5,V2,V6), V4 == V6 | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #1: input, references = 5, size of lhs = 10:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_f-{F}(V2,V3,V4), P_f-{F}(V1,V4,V5), P_f-{F}(V0,V5,V9), P_f-{F}(V0,V1,V7), P_f-{F}(V7,V2,V8), P_f-{F}(V8,V3,V9) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #2: input, references = 15, size of lhs = 2:
% 0.63/0.81     #-{F} V0, #-{F} V1 | EXISTS V2: P_f-{T}(V0,V1,V2)
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #3: input, references = 4, size of lhs = 0:
% 0.63/0.81     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #4: input, references = 4, size of lhs = 0:
% 0.63/0.81     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #5: input, references = 4, size of lhs = 0:
% 0.63/0.81     FALSE | EXISTS V0: P_c-{T}(V0)
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #6: input, references = 5, size of lhs = 0:
% 0.63/0.81     FALSE | EXISTS V0: P_d-{T}(V0)
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  number of initial rules = 7
% 0.63/0.81  
% 0.63/0.81  Simplifiers:
% 0.63/0.81  #7: unsound, references = 3, size of lhs = 3:
% 0.63/0.81     P_f-{F}(V0,V1,V2), P_f-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #8: unsound, references = 3, size of lhs = 3:
% 0.63/0.81     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #9: unsound, references = 3, size of lhs = 3:
% 0.63/0.81     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #10: unsound, references = 3, size of lhs = 3:
% 0.63/0.81     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #11: unsound, references = 3, size of lhs = 3:
% 0.63/0.81     P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  number of simplifiers = 5
% 0.63/0.81  
% 0.63/0.81  Learnt:
% 0.63/0.81  #13: exists( #2, #0 ), references = 5, size of lhs = 3:
% 0.63/0.81     P_f-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), P_f-{F}(V4,V1,V5) | P_f-{T}(V3,V2,V5)
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #16: exists( #2, #0 ), references = 4, size of lhs = 3:
% 0.63/0.81     P_f-{F}(V0,V1,V2), P_f-{F}(V3,V2,V4), P_f-{F}(V3,V0,V5) | P_f-{T}(V5,V1,V4)
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #28: exists( #2, #26 ), references = 3, size of lhs = 12:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_f-{F}(V2,V3,V4), P_f-{F}(V1,V4,V5), P_f-{F}(V0,V1,V6), P_f-{F}(V6,V2,V7), P_f-{F}(V0,V8,V9), P_f-{F}(V9,V10,V7), P_f-{F}(V10,V3,V11), P_f-{F}(V8,V11,V5) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #31: exists( #2, #29 ), references = 1, size of lhs = 8:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_f-{F}(V0,V1,V4), P_f-{F}(V2,V3,V5), P_f-{F}(V6,V2,V5), P_f-{F}(V1,V6,V4) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #33: exists( #2, #30 ), references = 1, size of lhs = 4:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_d-{F}(V0) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #46: exists( #2, #42 ), references = 1, size of lhs = 7:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_f-{F}(V0,V1,V1), P_d-{F}(V2), P_f-{F}(V0,V0,V3), P_f-{F}(V3,V1,V1) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #48: mergings( V5 == V7; #45 ), references = 1, size of lhs = 7:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_f-{F}(V1,V2,V2), P_d-{F}(V3), P_f-{F}(V0,V1,V4), P_f-{F}(V4,V2,V5) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #60: mergings( V7 == V11; #58 ), references = 2, size of lhs = 11:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_f-{F}(V0,V1,V4), P_f-{F}(V0,V5,V4), P_f-{F}(V2,V3,V6), P_f-{F}(V1,V6,V7), P_f-{F}(V5,V6,V7), P_f-{F}(V8,V2,V9), P_f-{F}(V10,V8,V4) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #83: exists( #2, #79 ), references = 1, size of lhs = 10:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_f-{F}(V0,V1,V4), P_f-{F}(V2,V3,V5), P_f-{F}(V6,V7,V5), P_f-{F}(V1,V6,V8), P_f-{F}(V9,V2,V10), P_f-{F}(V11,V9,V4) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #85: exists( #2, #82 ), references = 2, size of lhs = 8:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_f-{F}(V0,V1,V4), P_f-{F}(V1,V2,V5), P_f-{F}(V6,V2,V7), P_f-{F}(V8,V6,V4) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #87: exists( #2, #84 ), references = 1, size of lhs = 4:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_d-{F}(V1) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #89: exists( #6, #86 ), references = 1, size of lhs = 3:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #103: exists( #2, #85 ), references = 1, size of lhs = 6:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_f-{F}(V0,V1,V4), P_f-{F}(V5,V1,V4) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #105: exists( #2, #100 ), references = 1, size of lhs = 4:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #107: exists( #6, #104 ), references = 1, size of lhs = 3:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #109: exists( #5, #106 ), references = 1, size of lhs = 2:
% 0.63/0.81     P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #111: exists( #4, #108 ), references = 1, size of lhs = 1:
% 0.63/0.81     P_a-{F}(V0) | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  #113: exists( #3, #110 ), references = 1, size of lhs = 0:
% 0.63/0.81     FALSE | FALSE
% 0.63/0.81        (used 0 times, uses = {})
% 0.63/0.81  
% 0.63/0.81  number of learnt formulas = 18
% 0.63/0.81  
% 0.63/0.81  
% 0.63/0.81  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.81  
% 0.63/0.81  randbase = 1
%------------------------------------------------------------------------------