TSTP Solution File: LCL172-3 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL172-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n011.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 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL172-3 : TPTP v8.1.0. Released v2.3.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n011.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 21:43:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  GeoParameters:
% 0.18/0.49  
% 0.18/0.49  tptp_input =     1
% 0.18/0.49  tptp_output =    0
% 0.18/0.49  nonempty =       1
% 0.18/0.49  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  
% 0.18/0.49  RuleSystem INPUT:
% 0.18/0.49  
% 0.18/0.49  Initial Rules:
% 0.18/0.49  #0: input, references = 3, size of lhs = 2:
% 0.18/0.49     P_or-{F}(V0,V0,V1), P_implies-{F}(V1,V0,V2) | axiom-{T}(V2)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #1: input, references = 3, size of lhs = 2:
% 0.18/0.49     P_or-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V3) | axiom-{T}(V3)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #2: input, references = 3, size of lhs = 3:
% 0.18/0.49     P_or-{F}(V0,V1,V2), P_or-{F}(V1,V0,V3), P_implies-{F}(V2,V3,V4) | axiom-{T}(V4)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #3: input, references = 4, size of lhs = 5:
% 0.18/0.49     P_or-{F}(V1,V2,V3), P_or-{F}(V0,V3,V4), P_or-{F}(V0,V2,V5), P_or-{F}(V1,V5,V6), P_implies-{F}(V4,V6,V7) | axiom-{T}(V7)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #4: input, references = 4, size of lhs = 5:
% 0.18/0.49     P_implies-{F}(V0,V1,V3), P_or-{F}(V2,V0,V4), P_or-{F}(V2,V1,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7) | axiom-{T}(V7)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #5: input, references = 6, size of lhs = 4:
% 0.18/0.49     P_implies-{F}(V0,V1,V2), P_not-{F}(V0,V3), P_or-{F}(V3,V1,V4), V2 == V4 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #6: input, references = 5, size of lhs = 1:
% 0.18/0.49     axiom-{F}(V0) | theorem-{T}(V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #7: input, references = 3, size of lhs = 3:
% 0.18/0.49     theorem-{F}(V0), P_implies-{F}(V0,V1,V2), theorem-{F}(V2) | theorem-{T}(V1)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #8: input, references = 5, size of lhs = 9:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V1), P_r-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V4,V6,V7), theorem-{F}(V7) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #9: input, references = 13, size of lhs = 2:
% 0.18/0.49     #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #10: input, references = 5, size of lhs = 2:
% 0.18/0.49     #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #11: input, references = 7, size of lhs = 1:
% 0.18/0.49     #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #12: input, references = 4, size of lhs = 0:
% 0.18/0.49     FALSE | EXISTS V0: P_p-{T}(V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #13: input, references = 4, size of lhs = 0:
% 0.18/0.49     FALSE | EXISTS V0: P_q-{T}(V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #14: input, references = 5, size of lhs = 0:
% 0.18/0.49     FALSE | EXISTS V0: P_r-{T}(V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  number of initial rules = 15
% 0.18/0.49  
% 0.18/0.49  Simplifiers:
% 0.18/0.49  #15: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #16: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #17: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #18: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_p-{F}(V0), P_p-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #19: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_q-{F}(V0), P_q-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #20: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_r-{F}(V0), P_r-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  number of simplifiers = 6
% 0.18/0.49  
% 0.18/0.49  Learnt:
% 0.18/0.49  #22: exists( #10, #5 ), references = 7, size of lhs = 2:
% 0.18/0.49     P_not-{F}(V0,V1), P_implies-{F}(V0,V2,V3) | P_or-{T}(V1,V2,V3)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #24: exists( #9, #5 ), references = 5, size of lhs = 2:
% 0.18/0.49     P_not-{F}(V0,V1), P_or-{F}(V1,V2,V3) | P_implies-{T}(V0,V2,V3)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #42: exists( #9, #40 ), references = 2, size of lhs = 13:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V1), P_r-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V4), P_not-{F}(V4,V5), P_implies-{F}(V0,V2,V6), P_implies-{F}(V1,V6,V7), P_not-{F}(V8,V5), P_implies-{F}(V9,V10,V8), P_or-{F}(V11,V9,V12), P_or-{F}(V11,V10,V13), P_implies-{F}(V12,V13,V7) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #44: exists( #11, #41 ), references = 2, size of lhs = 11:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V1), P_r-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V7,V8,V4), P_or-{F}(V9,V7,V10), P_or-{F}(V9,V8,V11), P_implies-{F}(V10,V11,V6) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #48: exists( #9, #46 ), references = 2, size of lhs = 11:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V1), P_r-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V1,V5,V6), P_or-{F}(V7,V8,V4), P_or-{F}(V9,V10,V8), P_or-{F}(V7,V10,V11), P_or-{F}(V9,V11,V6) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #52: exists( #9, #50 ), references = 1, size of lhs = 7:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_r-{F}(V3), P_implies-{F}(V0,V3,V4), P_or-{F}(V1,V5,V4) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #56: exists( #9, #54 ), references = 1, size of lhs = 6:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_r-{F}(V4) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #58: exists( #11, #55 ), references = 1, size of lhs = 3:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V0), P_r-{F}(V1) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #60: exists( #14, #57 ), references = 1, size of lhs = 2:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V0) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #63: exists( #9, #44 ), references = 1, size of lhs = 9:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V1), P_r-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V6,V7,V4), P_or-{F}(V8,V6,V1), P_or-{F}(V8,V7,V5) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #64: exists( #9, #42 ), references = 1, size of lhs = 11:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V1), P_r-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V4), P_not-{F}(V4,V5), P_implies-{F}(V0,V2,V6), P_not-{F}(V7,V5), P_implies-{F}(V8,V9,V7), P_or-{F}(V10,V8,V1), P_or-{F}(V10,V9,V6) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #72: exists( #9, #70 ), references = 1, size of lhs = 10:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V1), P_r-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V2,V5), P_not-{F}(V1,V6), P_or-{F}(V6,V7,V8), P_or-{F}(V9,V8,V4), P_or-{F}(V9,V7,V5) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #76: exists( #9, #74 ), references = 2, size of lhs = 10:
% 0.18/0.49     P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_q-{F}(V3), P_r-{F}(V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V0,V4,V6), P_not-{F}(V3,V7), P_or-{F}(V7,V8,V5), P_or-{F}(V1,V8,V6) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #80: exists( #9, #78 ), references = 1, size of lhs = 8:
% 0.18/0.49     P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_q-{F}(V3), P_r-{F}(V4), P_implies-{F}(V0,V4,V5), P_or-{F}(V1,V4,V5), P_not-{F}(V3,V6) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #82: exists( #11, #79 ), references = 2, size of lhs = 7:
% 0.18/0.49     P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_q-{F}(V3), P_r-{F}(V4), P_implies-{F}(V0,V4,V5), P_or-{F}(V1,V4,V5) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #86: exists( #9, #84 ), references = 1, size of lhs = 5:
% 0.18/0.49     P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_q-{F}(V3), P_r-{F}(V4) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #88: exists( #11, #85 ), references = 1, size of lhs = 3:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V1), P_r-{F}(V2) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #90: exists( #14, #87 ), references = 1, size of lhs = 2:
% 0.18/0.49     P_p-{F}(V0), P_q-{F}(V1) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #92: exists( #13, #89 ), references = 1, size of lhs = 1:
% 0.18/0.49     P_p-{F}(V0) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #94: exists( #12, #91 ), references = 1, size of lhs = 0:
% 0.18/0.49     FALSE | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  number of learnt formulas = 20
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  
% 0.18/0.49  randbase = 1
%------------------------------------------------------------------------------