TSTP Solution File: LCL172-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL172-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n005.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 06:08:53 EDT 2022

% Result   : Unsatisfiable 0.18s 0.46s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LCL172-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n005.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 22:14:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.46  GeoParameters:
% 0.18/0.46  
% 0.18/0.46  tptp_input =     1
% 0.18/0.46  tptp_output =    0
% 0.18/0.46  nonempty =       1
% 0.18/0.46  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.46  
% 0.18/0.46  
% 0.18/0.46  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  
% 0.18/0.46  RuleSystem INPUT:
% 0.18/0.46  
% 0.18/0.46  Initial Rules:
% 0.18/0.46  #0: input, references = 4, size of lhs = 3:
% 0.18/0.46     P_or-{F}(V0,V0,V1), P_not-{F}(V1,V2), P_or-{F}(V2,V0,V3) | axiom-{T}(V3)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #1: input, references = 3, size of lhs = 3:
% 0.18/0.46     P_not-{F}(V0,V2), P_or-{F}(V1,V0,V3), P_or-{F}(V2,V3,V4) | axiom-{T}(V4)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #2: input, references = 4, size of lhs = 4:
% 0.18/0.46     P_or-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_or-{F}(V1,V0,V4), P_or-{F}(V3,V4,V5) | axiom-{T}(V5)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #3: input, references = 4, size of lhs = 6:
% 0.18/0.46     P_or-{F}(V1,V2,V3), P_or-{F}(V0,V3,V4), P_not-{F}(V4,V5), P_or-{F}(V0,V2,V6), P_or-{F}(V1,V6,V7), P_or-{F}(V5,V7,V8) | axiom-{T}(V8)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #4: input, references = 3, size of lhs = 8:
% 0.18/0.46     P_not-{F}(V0,V3), P_or-{F}(V3,V1,V4), P_not-{F}(V4,V5), P_or-{F}(V2,V0,V6), P_not-{F}(V6,V7), P_or-{F}(V2,V1,V8), P_or-{F}(V7,V8,V9), P_or-{F}(V5,V9,V10) | axiom-{T}(V10)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #5: input, references = 6, size of lhs = 1:
% 0.18/0.46     axiom-{F}(V0) | theorem-{T}(V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #6: input, references = 3, size of lhs = 4:
% 0.18/0.46     P_not-{F}(V0,V1), theorem-{F}(V0), P_or-{F}(V1,V2,V3), axiom-{F}(V3) | theorem-{T}(V2)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #7: input, references = 3, size of lhs = 7:
% 0.18/0.46     P_not-{F}(V0,V2), P_or-{F}(V2,V1,V3), theorem-{F}(V3), P_not-{F}(V4,V5), P_or-{F}(V5,V1,V6), P_or-{F}(V5,V0,V7), axiom-{F}(V7) | theorem-{T}(V6)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #8: input, references = 6, size of lhs = 12:
% 0.18/0.46     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_or-{F}(V3,V4,V5), P_or-{F}(V1,V5,V6), P_not-{F}(V6,V7), P_or-{F}(V1,V4,V8), P_or-{F}(V3,V8,V9), P_or-{F}(V7,V9,V10), theorem-{F}(V10) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #9: input, references = 12, size of lhs = 2:
% 0.18/0.46     #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #10: input, references = 7, size of lhs = 1:
% 0.18/0.46     #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #11: input, references = 4, size of lhs = 0:
% 0.18/0.46     FALSE | EXISTS V0: P_p-{T}(V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #12: input, references = 4, size of lhs = 0:
% 0.18/0.46     FALSE | EXISTS V0: P_q-{T}(V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #13: input, references = 5, size of lhs = 0:
% 0.18/0.46     FALSE | EXISTS V0: P_r-{T}(V0)
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  number of initial rules = 14
% 0.18/0.46  
% 0.18/0.46  Simplifiers:
% 0.18/0.46  #14: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #15: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #16: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     P_p-{F}(V0), P_p-{F}(V1), V0 == V1 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #17: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     P_q-{F}(V0), P_q-{F}(V1), V0 == V1 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #18: unsound, references = 3, size of lhs = 3:
% 0.18/0.46     P_r-{F}(V0), P_r-{F}(V1), V0 == V1 | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  number of simplifiers = 5
% 0.18/0.46  
% 0.18/0.46  Learnt:
% 0.18/0.46  #22: exists( #9, #20 ), references = 1, size of lhs = 12:
% 0.18/0.46     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_or-{F}(V3,V4,V5), P_or-{F}(V1,V5,V6), P_not-{F}(V6,V7), P_or-{F}(V1,V4,V8), P_or-{F}(V3,V8,V9), P_or-{F}(V9,V9,V10), P_not-{F}(V10,V7) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #26: exists( #9, #24 ), references = 1, size of lhs = 13:
% 0.18/0.46     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_or-{F}(V3,V4,V5), P_or-{F}(V1,V5,V6), P_not-{F}(V6,V7), P_or-{F}(V1,V4,V8), P_or-{F}(V3,V8,V9), P_not-{F}(V10,V7), P_or-{F}(V11,V12,V10), P_or-{F}(V12,V11,V9) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #30: exists( #9, #28 ), references = 1, size of lhs = 15:
% 0.18/0.46     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_or-{F}(V3,V4,V5), P_or-{F}(V1,V5,V6), P_not-{F}(V6,V7), P_or-{F}(V1,V4,V8), P_or-{F}(V3,V8,V9), P_not-{F}(V10,V7), P_or-{F}(V11,V12,V10), P_or-{F}(V13,V14,V12), P_or-{F}(V11,V14,V15), P_or-{F}(V13,V15,V9) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #32: exists( #10, #29 ), references = 2, size of lhs = 13:
% 0.18/0.46     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_or-{F}(V3,V4,V5), P_or-{F}(V1,V5,V6), P_or-{F}(V1,V4,V7), P_or-{F}(V3,V7,V8), P_or-{F}(V9,V10,V6), P_or-{F}(V11,V12,V10), P_or-{F}(V9,V12,V13), P_or-{F}(V11,V13,V8) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #34: exists( #9, #31 ), references = 1, size of lhs = 7:
% 0.18/0.46     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V1), P_r-{F}(V3), P_or-{F}(V1,V3,V4), P_or-{F}(V1,V5,V4) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #36: exists( #9, #33 ), references = 1, size of lhs = 5:
% 0.18/0.46     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V1), P_r-{F}(V3) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #38: exists( #10, #35 ), references = 1, size of lhs = 3:
% 0.18/0.46     P_p-{F}(V0), P_q-{F}(V0), P_r-{F}(V1) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #40: exists( #13, #37 ), references = 1, size of lhs = 2:
% 0.18/0.46     P_p-{F}(V0), P_q-{F}(V0) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #42: exists( #9, #32 ), references = 1, size of lhs = 11:
% 0.18/0.46     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_or-{F}(V3,V4,V5), P_or-{F}(V1,V4,V6), P_or-{F}(V3,V6,V7), P_or-{F}(V8,V9,V5), P_or-{F}(V1,V9,V10), P_or-{F}(V8,V10,V7) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #45: mergings( V6 == V8; #43 ), references = 2, size of lhs = 7:
% 0.18/0.46     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_or-{F}(V1,V4,V5), P_or-{F}(V3,V5,V6) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #48: exists( #9, #45 ), references = 1, size of lhs = 6:
% 0.18/0.46     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_r-{F}(V4), P_or-{F}(V1,V4,V5) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #50: exists( #10, #46 ), references = 2, size of lhs = 5:
% 0.18/0.46     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_r-{F}(V3), P_or-{F}(V1,V3,V4) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #53: exists( #9, #50 ), references = 1, size of lhs = 4:
% 0.18/0.46     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_r-{F}(V3) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #55: exists( #10, #51 ), references = 1, size of lhs = 3:
% 0.18/0.46     P_p-{F}(V0), P_q-{F}(V1), P_r-{F}(V2) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #57: exists( #13, #54 ), references = 1, size of lhs = 2:
% 0.18/0.46     P_p-{F}(V0), P_q-{F}(V1) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #59: exists( #12, #56 ), references = 1, size of lhs = 1:
% 0.18/0.46     P_p-{F}(V0) | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  #61: exists( #11, #58 ), references = 1, size of lhs = 0:
% 0.18/0.46     FALSE | FALSE
% 0.18/0.46        (used 0 times, uses = {})
% 0.18/0.46  
% 0.18/0.46  number of learnt formulas = 17
% 0.18/0.46  
% 0.18/0.46  
% 0.18/0.46  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  
% 0.18/0.46  randbase = 1
%------------------------------------------------------------------------------