TSTP Solution File: HEN012-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : HEN012-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n021.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 06:04:46 EDT 2022

% Result   : Unsatisfiable 0.42s 0.58s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : HEN012-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n021.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 20:58:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.42/0.58  GeoParameters:
% 0.42/0.58  
% 0.42/0.58  tptp_input =     1
% 0.42/0.58  tptp_output =    0
% 0.42/0.58  nonempty =       1
% 0.42/0.58  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.58  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.42/0.58  
% 0.42/0.58  
% 0.42/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.58  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.58  
% 0.42/0.58  RuleSystem INPUT:
% 0.42/0.58  
% 0.42/0.58  Initial Rules:
% 0.42/0.58  #0: input, references = 5, size of lhs = 2:
% 0.42/0.58     P_zero-{F}(V0), less_equal-{F}(V1,V2) | quotient-{T}(V1,V2,V0)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #1: input, references = 5, size of lhs = 2:
% 0.42/0.58     P_zero-{F}(V0), quotient-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #2: input, references = 4, size of lhs = 2:
% 0.42/0.58     P_zero-{F}(V0), quotient-{F}(V1,V3,V2) | less_equal-{T}(V2,V1)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #3: input, references = 4, size of lhs = 6:
% 0.42/0.58     P_zero-{F}(V0), quotient-{F}(V3,V4,V1), quotient-{F}(V5,V6,V2), quotient-{F}(V7,V6,V4), quotient-{F}(V8,V7,V5), quotient-{F}(V8,V6,V3) | less_equal-{T}(V1,V2)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #4: input, references = 6, size of lhs = 2:
% 0.42/0.58     P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #5: input, references = 5, size of lhs = 4:
% 0.42/0.58     P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #6: input, references = 3, size of lhs = 3:
% 0.42/0.58     P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #7: input, references = 9, size of lhs = 3:
% 0.42/0.58     P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V4) | quotient-{T}(V2,V3,V4)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #8: input, references = 4, size of lhs = 5:
% 0.42/0.58     P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V5,V4,V2), quotient-{F}(V5,V4,V3), V2 == V3 | FALSE
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #9: input, references = 4, size of lhs = 4:
% 0.42/0.58     P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), less_equal-{F}(V2,V2) | FALSE
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #10: input, references = 4, size of lhs = 0:
% 0.42/0.58     FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #11: input, references = 4, size of lhs = 0:
% 0.42/0.58     FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #12: input, references = 7, size of lhs = 2:
% 0.42/0.58     #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #13: input, references = 4, size of lhs = 0:
% 0.42/0.58     FALSE | EXISTS V0: P_x-{T}(V0)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  number of initial rules = 14
% 0.42/0.58  
% 0.42/0.58  Simplifiers:
% 0.42/0.58  #14: unsound, references = 3, size of lhs = 3:
% 0.42/0.58     P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #15: unsound, references = 3, size of lhs = 3:
% 0.42/0.58     P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #16: unsound, references = 3, size of lhs = 3:
% 0.42/0.58     P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #17: unsound, references = 3, size of lhs = 3:
% 0.42/0.58     P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  number of simplifiers = 4
% 0.42/0.58  
% 0.42/0.58  Learnt:
% 0.42/0.58  #25: mergings( V3 == V5, V4 == V6; #22 ), references = 1, size of lhs = 3:
% 0.42/0.58     P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V2,V3,V4) | P_divide-{T}(V2,V3,V4)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #41: mergings( V3 == V4, V4 == V6, V6 == V7; #37 ), references = 2, size of lhs = 6:
% 0.42/0.58     P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V5), quotient-{F}(V6,V4,V2), quotient-{F}(V6,V3,V7) | P_divide-{T}(V7,V5,V1)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #90: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V4 == V6, V6 == V8; #83 ), references = 1, size of lhs = 6:
% 0.42/0.58     P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V2,V3), less_equal-{F}(V4,V3), V4 == V3, quotient-{F}(V5,V2,V4) | FALSE
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #103: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V4 == V6, V6 == V8, V8 == V10; #93 ), references = 2, size of lhs = 3:
% 0.42/0.58     P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1) | P_divide-{T}(V3,V3,V1)
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #115: mergings( V1 == V3, V3 == V5, V5 == V6, V2 == V4, V4 == V7; #109 ), references = 1, size of lhs = 2:
% 0.42/0.58     P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #120: mergings( V1 == V2, V2 == V3, V3 == V4; #116 ), references = 1, size of lhs = 1:
% 0.42/0.58     P_zero-{F}(V0) | FALSE
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  #122: exists( #10, #116 ), references = 1, size of lhs = 0:
% 0.42/0.58     FALSE | FALSE
% 0.42/0.58        (used 0 times, uses = {})
% 0.42/0.58  
% 0.42/0.58  number of learnt formulas = 7
% 0.42/0.58  
% 0.42/0.58  
% 0.42/0.58  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.58  
% 0.42/0.58  randbase = 1
%------------------------------------------------------------------------------