TSTP Solution File: HEN004-4 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : HEN004-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n013.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 06:04:40 EDT 2022

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HEN004-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n013.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 20:59:45 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  GeoParameters:
% 0.19/0.45  
% 0.19/0.45  tptp_input =     1
% 0.19/0.45  tptp_output =    0
% 0.19/0.45  nonempty =       1
% 0.19/0.45  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  
% 0.19/0.45  RuleSystem INPUT:
% 0.19/0.45  
% 0.19/0.45  Initial Rules:
% 0.19/0.45  #0: input, references = 4, size of lhs = 4:
% 0.19/0.45     P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #1: input, references = 5, size of lhs = 2:
% 0.19/0.45     P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #2: input, references = 4, size of lhs = 2:
% 0.19/0.45     P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #3: input, references = 4, size of lhs = 6:
% 0.19/0.45     P_zero-{F}(V0), P_divide-{F}(V1,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V4,V5,V6), P_divide-{F}(V1,V2,V7), P_divide-{F}(V7,V3,V8) | less_equal-{T}(V6,V8)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #4: input, references = 6, size of lhs = 2:
% 0.19/0.45     P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #5: input, references = 6, size of lhs = 4:
% 0.19/0.45     P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #6: input, references = 3, size of lhs = 3:
% 0.19/0.45     P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #7: input, references = 3, size of lhs = 4:
% 0.19/0.45     P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #8: input, references = 4, size of lhs = 4:
% 0.19/0.45     P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #9: input, references = 4, size of lhs = 4:
% 0.19/0.45     P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V2,V3), V3 == V0 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #10: input, references = 4, size of lhs = 4:
% 0.19/0.45     P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V2) | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #11: input, references = 8, size of lhs = 2:
% 0.19/0.45     #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #12: input, references = 4, size of lhs = 0:
% 0.19/0.45     FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #13: input, references = 4, size of lhs = 0:
% 0.19/0.45     FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #14: input, references = 4, size of lhs = 0:
% 0.19/0.45     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  number of initial rules = 15
% 0.19/0.45  
% 0.19/0.45  Simplifiers:
% 0.19/0.45  #15: unsound, references = 3, size of lhs = 3:
% 0.19/0.45     P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #16: unsound, references = 3, size of lhs = 3:
% 0.19/0.45     P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #17: unsound, references = 3, size of lhs = 3:
% 0.19/0.45     P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #18: unsound, references = 3, size of lhs = 3:
% 0.19/0.45     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  number of simplifiers = 4
% 0.19/0.45  
% 0.19/0.45  Learnt:
% 0.19/0.45  #20: exists( #11, #9 ), references = 2, size of lhs = 3:
% 0.19/0.45     P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V2,V0)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #24: exists( #11, #0 ), references = 2, size of lhs = 2:
% 0.19/0.45     P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #25: exists( #11, #8 ), references = 1, size of lhs = 3:
% 0.19/0.45     P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V0,V2,V0)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #37: mergings( V3 == V4, V4 == V5; #34 ), references = 2, size of lhs = 5:
% 0.19/0.45     P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V4), P_divide-{F}(V3,V5,V1), P_divide-{F}(V5,V2,V6) | P_divide-{T}(V4,V6,V0)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #49: mergings( V3 == V4, V4 == V5; #46 ), references = 1, size of lhs = 4:
% 0.19/0.45     P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V0), P_divide-{F}(V4,V1,V3) | P_divide-{T}(V4,V2,V0)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #62: mergings( V3 == V1, V1 == V5, V5 == V6, V6 == V7, V7 == V8; #56 ), references = 2, size of lhs = 3:
% 0.19/0.45     P_identity-{F}(V0), P_zero-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V1,V2)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #66: mergings( V1 == V3; #64 ), references = 1, size of lhs = 2:
% 0.19/0.45     P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #68: exists( #13, #64 ), references = 1, size of lhs = 1:
% 0.19/0.45     P_zero-{F}(V0) | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #70: exists( #12, #67 ), references = 1, size of lhs = 0:
% 0.19/0.45     FALSE | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  number of learnt formulas = 9
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  
% 0.19/0.45  randbase = 1
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