TSTP Solution File: SYN335+1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : SYN335+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n010.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  : 600s
% DateTime : Thu Jul 21 09:46:25 EDT 2022

% Result   : CounterSatisfiable 52.05s 52.21s
% Output   : FiniteModel 52.05s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :   11

% Comments : 
%------------------------------------------------------------------------------
% domain size is 11
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2"
      | X = "3"
      | X = "4"
      | X = "5"
      | X = "6"
      | X = "7"
      | X = "8"
      | X = "9"
      | X = "10"
      | X = "11" ) ).

fof(big_f,fi_predicates,
    ( ( big_f("1","1")
    <=> $true )
    & ( big_f("1","2")
    <=> $true )
    & ( big_f("1","3")
    <=> $true )
    & ( big_f("1","4")
    <=> $true )
    & ( big_f("1","5")
    <=> $true )
    & ( big_f("1","6")
    <=> $true )
    & ( big_f("1","7")
    <=> $true )
    & ( big_f("1","8")
    <=> $true )
    & ( big_f("1","9")
    <=> $true )
    & ( big_f("1","10")
    <=> $true )
    & ( big_f("1","11")
    <=> $false )
    & ( big_f("2","1")
    <=> $false )
    & ( big_f("2","2")
    <=> $true )
    & ( big_f("2","3")
    <=> $true )
    & ( big_f("2","4")
    <=> $true )
    & ( big_f("2","5")
    <=> $false )
    & ( big_f("2","6")
    <=> $true )
    & ( big_f("2","7")
    <=> $true )
    & ( big_f("2","8")
    <=> $true )
    & ( big_f("2","9")
    <=> $true )
    & ( big_f("2","10")
    <=> $true )
    & ( big_f("2","11")
    <=> $true )
    & ( big_f("3","1")
    <=> $true )
    & ( big_f("3","2")
    <=> $true )
    & ( big_f("3","3")
    <=> $true )
    & ( big_f("3","4")
    <=> $true )
    & ( big_f("3","5")
    <=> $true )
    & ( big_f("3","6")
    <=> $false )
    & ( big_f("3","7")
    <=> $false )
    & ( big_f("3","8")
    <=> $true )
    & ( big_f("3","9")
    <=> $true )
    & ( big_f("3","10")
    <=> $false )
    & ( big_f("3","11")
    <=> $false )
    & ( big_f("4","1")
    <=> $false )
    & ( big_f("4","2")
    <=> $true )
    & ( big_f("4","3")
    <=> $false )
    & ( big_f("4","4")
    <=> $true )
    & ( big_f("4","5")
    <=> $true )
    & ( big_f("4","6")
    <=> $false )
    & ( big_f("4","7")
    <=> $true )
    & ( big_f("4","8")
    <=> $true )
    & ( big_f("4","9")
    <=> $false )
    & ( big_f("4","10")
    <=> $true )
    & ( big_f("4","11")
    <=> $true )
    & ( big_f("5","1")
    <=> $false )
    & ( big_f("5","2")
    <=> $false )
    & ( big_f("5","3")
    <=> $true )
    & ( big_f("5","4")
    <=> $true )
    & ( big_f("5","5")
    <=> $false )
    & ( big_f("5","6")
    <=> $false )
    & ( big_f("5","7")
    <=> $true )
    & ( big_f("5","8")
    <=> $true )
    & ( big_f("5","9")
    <=> $true )
    & ( big_f("5","10")
    <=> $false )
    & ( big_f("5","11")
    <=> $false )
    & ( big_f("6","1")
    <=> $true )
    & ( big_f("6","2")
    <=> $false )
    & ( big_f("6","3")
    <=> $true )
    & ( big_f("6","4")
    <=> $true )
    & ( big_f("6","5")
    <=> $true )
    & ( big_f("6","6")
    <=> $true )
    & ( big_f("6","7")
    <=> $true )
    & ( big_f("6","8")
    <=> $true )
    & ( big_f("6","9")
    <=> $false )
    & ( big_f("6","10")
    <=> $true )
    & ( big_f("6","11")
    <=> $true )
    & ( big_f("7","1")
    <=> $true )
    & ( big_f("7","2")
    <=> $true )
    & ( big_f("7","3")
    <=> $true )
    & ( big_f("7","4")
    <=> $false )
    & ( big_f("7","5")
    <=> $true )
    & ( big_f("7","6")
    <=> $false )
    & ( big_f("7","7")
    <=> $true )
    & ( big_f("7","8")
    <=> $true )
    & ( big_f("7","9")
    <=> $false )
    & ( big_f("7","10")
    <=> $true )
    & ( big_f("7","11")
    <=> $true )
    & ( big_f("8","1")
    <=> $true )
    & ( big_f("8","2")
    <=> $true )
    & ( big_f("8","3")
    <=> $true )
    & ( big_f("8","4")
    <=> $false )
    & ( big_f("8","5")
    <=> $true )
    & ( big_f("8","6")
    <=> $false )
    & ( big_f("8","7")
    <=> $true )
    & ( big_f("8","8")
    <=> $false )
    & ( big_f("8","9")
    <=> $true )
    & ( big_f("8","10")
    <=> $true )
    & ( big_f("8","11")
    <=> $false )
    & ( big_f("9","1")
    <=> $true )
    & ( big_f("9","2")
    <=> $true )
    & ( big_f("9","3")
    <=> $false )
    & ( big_f("9","4")
    <=> $true )
    & ( big_f("9","5")
    <=> $true )
    & ( big_f("9","6")
    <=> $false )
    & ( big_f("9","7")
    <=> $false )
    & ( big_f("9","8")
    <=> $false )
    & ( big_f("9","9")
    <=> $false )
    & ( big_f("9","10")
    <=> $true )
    & ( big_f("9","11")
    <=> $false )
    & ( big_f("10","1")
    <=> $true )
    & ( big_f("10","2")
    <=> $false )
    & ( big_f("10","3")
    <=> $true )
    & ( big_f("10","4")
    <=> $false )
    & ( big_f("10","5")
    <=> $true )
    & ( big_f("10","6")
    <=> $true )
    & ( big_f("10","7")
    <=> $true )
    & ( big_f("10","8")
    <=> $false )
    & ( big_f("10","9")
    <=> $true )
    & ( big_f("10","10")
    <=> $true )
    & ( big_f("10","11")
    <=> $false )
    & ( big_f("11","1")
    <=> $true )
    & ( big_f("11","2")
    <=> $true )
    & ( big_f("11","3")
    <=> $true )
    & ( big_f("11","4")
    <=> $true )
    & ( big_f("11","5")
    <=> $true )
    & ( big_f("11","6")
    <=> $true )
    & ( big_f("11","7")
    <=> $false )
    & ( big_f("11","8")
    <=> $true )
    & ( big_f("11","9")
    <=> $true )
    & ( big_f("11","10")
    <=> $true )
    & ( big_f("11","11")
    <=> $true ) ) ).

fof(big_g,fi_predicates,
    ( ( big_g("1","1")
    <=> $true )
    & ( big_g("1","2")
    <=> $true )
    & ( big_g("1","3")
    <=> $false )
    & ( big_g("1","4")
    <=> $true )
    & ( big_g("1","5")
    <=> $true )
    & ( big_g("1","6")
    <=> $false )
    & ( big_g("1","7")
    <=> $false )
    & ( big_g("1","8")
    <=> $false )
    & ( big_g("1","9")
    <=> $true )
    & ( big_g("1","10")
    <=> $false )
    & ( big_g("1","11")
    <=> $true )
    & ( big_g("2","1")
    <=> $true )
    & ( big_g("2","2")
    <=> $true )
    & ( big_g("2","3")
    <=> $false )
    & ( big_g("2","4")
    <=> $false )
    & ( big_g("2","5")
    <=> $true )
    & ( big_g("2","6")
    <=> $true )
    & ( big_g("2","7")
    <=> $false )
    & ( big_g("2","8")
    <=> $false )
    & ( big_g("2","9")
    <=> $false )
    & ( big_g("2","10")
    <=> $true )
    & ( big_g("2","11")
    <=> $false )
    & ( big_g("3","1")
    <=> $false )
    & ( big_g("3","2")
    <=> $false )
    & ( big_g("3","3")
    <=> $false )
    & ( big_g("3","4")
    <=> $true )
    & ( big_g("3","5")
    <=> $true )
    & ( big_g("3","6")
    <=> $true )
    & ( big_g("3","7")
    <=> $true )
    & ( big_g("3","8")
    <=> $false )
    & ( big_g("3","9")
    <=> $true )
    & ( big_g("3","10")
    <=> $true )
    & ( big_g("3","11")
    <=> $true )
    & ( big_g("4","1")
    <=> $true )
    & ( big_g("4","2")
    <=> $false )
    & ( big_g("4","3")
    <=> $true )
    & ( big_g("4","4")
    <=> $false )
    & ( big_g("4","5")
    <=> $true )
    & ( big_g("4","6")
    <=> $true )
    & ( big_g("4","7")
    <=> $false )
    & ( big_g("4","8")
    <=> $true )
    & ( big_g("4","9")
    <=> $true )
    & ( big_g("4","10")
    <=> $true )
    & ( big_g("4","11")
    <=> $false )
    & ( big_g("5","1")
    <=> $true )
    & ( big_g("5","2")
    <=> $true )
    & ( big_g("5","3")
    <=> $false )
    & ( big_g("5","4")
    <=> $false )
    & ( big_g("5","5")
    <=> $true )
    & ( big_g("5","6")
    <=> $true )
    & ( big_g("5","7")
    <=> $false )
    & ( big_g("5","8")
    <=> $false )
    & ( big_g("5","9")
    <=> $true )
    & ( big_g("5","10")
    <=> $true )
    & ( big_g("5","11")
    <=> $true )
    & ( big_g("6","1")
    <=> $false )
    & ( big_g("6","2")
    <=> $true )
    & ( big_g("6","3")
    <=> $true )
    & ( big_g("6","4")
    <=> $true )
    & ( big_g("6","5")
    <=> $true )
    & ( big_g("6","6")
    <=> $true )
    & ( big_g("6","7")
    <=> $true )
    & ( big_g("6","8")
    <=> $true )
    & ( big_g("6","9")
    <=> $true )
    & ( big_g("6","10")
    <=> $false )
    & ( big_g("6","11")
    <=> $false )
    & ( big_g("7","1")
    <=> $false )
    & ( big_g("7","2")
    <=> $false )
    & ( big_g("7","3")
    <=> $true )
    & ( big_g("7","4")
    <=> $true )
    & ( big_g("7","5")
    <=> $true )
    & ( big_g("7","6")
    <=> $true )
    & ( big_g("7","7")
    <=> $true )
    & ( big_g("7","8")
    <=> $false )
    & ( big_g("7","9")
    <=> $true )
    & ( big_g("7","10")
    <=> $false )
    & ( big_g("7","11")
    <=> $true )
    & ( big_g("8","1")
    <=> $true )
    & ( big_g("8","2")
    <=> $false )
    & ( big_g("8","3")
    <=> $false )
    & ( big_g("8","4")
    <=> $true )
    & ( big_g("8","5")
    <=> $false )
    & ( big_g("8","6")
    <=> $true )
    & ( big_g("8","7")
    <=> $false )
    & ( big_g("8","8")
    <=> $true )
    & ( big_g("8","9")
    <=> $true )
    & ( big_g("8","10")
    <=> $true )
    & ( big_g("8","11")
    <=> $true )
    & ( big_g("9","1")
    <=> $false )
    & ( big_g("9","2")
    <=> $false )
    & ( big_g("9","3")
    <=> $true )
    & ( big_g("9","4")
    <=> $true )
    & ( big_g("9","5")
    <=> $false )
    & ( big_g("9","6")
    <=> $true )
    & ( big_g("9","7")
    <=> $true )
    & ( big_g("9","8")
    <=> $true )
    & ( big_g("9","9")
    <=> $true )
    & ( big_g("9","10")
    <=> $false )
    & ( big_g("9","11")
    <=> $true )
    & ( big_g("10","1")
    <=> $false )
    & ( big_g("10","2")
    <=> $true )
    & ( big_g("10","3")
    <=> $true )
    & ( big_g("10","4")
    <=> $true )
    & ( big_g("10","5")
    <=> $true )
    & ( big_g("10","6")
    <=> $false )
    & ( big_g("10","7")
    <=> $false )
    & ( big_g("10","8")
    <=> $true )
    & ( big_g("10","9")
    <=> $true )
    & ( big_g("10","10")
    <=> $false )
    & ( big_g("10","11")
    <=> $true )
    & ( big_g("11","1")
    <=> $true )
    & ( big_g("11","2")
    <=> $false )
    & ( big_g("11","3")
    <=> $true )
    & ( big_g("11","4")
    <=> $false )
    & ( big_g("11","5")
    <=> $false )
    & ( big_g("11","6")
    <=> $false )
    & ( big_g("11","7")
    <=> $true )
    & ( big_g("11","8")
    <=> $true )
    & ( big_g("11","9")
    <=> $true )
    & ( big_g("11","10")
    <=> $true )
    & ( big_g("11","11")
    <=> $true ) ) ).

fof(sK0_church_46_14_7_Z,fi_functors,
    ( sK0_church_46_14_7_Z("1","1") = "2"
    & sK0_church_46_14_7_Z("1","2") = "7"
    & sK0_church_46_14_7_Z("1","3") = "9"
    & sK0_church_46_14_7_Z("1","4") = "2"
    & sK0_church_46_14_7_Z("1","5") = "7"
    & sK0_church_46_14_7_Z("1","6") = "8"
    & sK0_church_46_14_7_Z("1","7") = "9"
    & sK0_church_46_14_7_Z("1","8") = "8"
    & sK0_church_46_14_7_Z("1","9") = "6"
    & sK0_church_46_14_7_Z("1","10") = "5"
    & sK0_church_46_14_7_Z("1","11") = "3"
    & sK0_church_46_14_7_Z("2","1") = "4"
    & sK0_church_46_14_7_Z("2","2") = "6"
    & sK0_church_46_14_7_Z("2","3") = "9"
    & sK0_church_46_14_7_Z("2","4") = "8"
    & sK0_church_46_14_7_Z("2","5") = "4"
    & sK0_church_46_14_7_Z("2","6") = "11"
    & sK0_church_46_14_7_Z("2","7") = "9"
    & sK0_church_46_14_7_Z("2","8") = "8"
    & sK0_church_46_14_7_Z("2","9") = "9"
    & sK0_church_46_14_7_Z("2","10") = "6"
    & sK0_church_46_14_7_Z("2","11") = "9"
    & sK0_church_46_14_7_Z("3","1") = "5"
    & sK0_church_46_14_7_Z("3","2") = "5"
    & sK0_church_46_14_7_Z("3","3") = "9"
    & sK0_church_46_14_7_Z("3","4") = "2"
    & sK0_church_46_14_7_Z("3","5") = "2"
    & sK0_church_46_14_7_Z("3","6") = "3"
    & sK0_church_46_14_7_Z("3","7") = "3"
    & sK0_church_46_14_7_Z("3","8") = "8"
    & sK0_church_46_14_7_Z("3","9") = "1"
    & sK0_church_46_14_7_Z("3","10") = "3"
    & sK0_church_46_14_7_Z("3","11") = "3"
    & sK0_church_46_14_7_Z("4","1") = "4"
    & sK0_church_46_14_7_Z("4","2") = "5"
    & sK0_church_46_14_7_Z("4","3") = "4"
    & sK0_church_46_14_7_Z("4","4") = "8"
    & sK0_church_46_14_7_Z("4","5") = "2"
    & sK0_church_46_14_7_Z("4","6") = "4"
    & sK0_church_46_14_7_Z("4","7") = "5"
    & sK0_church_46_14_7_Z("4","8") = "7"
    & sK0_church_46_14_7_Z("4","9") = "4"
    & sK0_church_46_14_7_Z("4","10") = "7"
    & sK0_church_46_14_7_Z("4","11") = "8"
    & sK0_church_46_14_7_Z("5","1") = "4"
    & sK0_church_46_14_7_Z("5","2") = "4"
    & sK0_church_46_14_7_Z("5","3") = "9"
    & sK0_church_46_14_7_Z("5","4") = "8"
    & sK0_church_46_14_7_Z("5","5") = "4"
    & sK0_church_46_14_7_Z("5","6") = "4"
    & sK0_church_46_14_7_Z("5","7") = "9"
    & sK0_church_46_14_7_Z("5","8") = "8"
    & sK0_church_46_14_7_Z("5","9") = "7"
    & sK0_church_46_14_7_Z("5","10") = "3"
    & sK0_church_46_14_7_Z("5","11") = "3"
    & sK0_church_46_14_7_Z("6","1") = "5"
    & sK0_church_46_14_7_Z("6","2") = "10"
    & sK0_church_46_14_7_Z("6","3") = "1"
    & sK0_church_46_14_7_Z("6","4") = "11"
    & sK0_church_46_14_7_Z("6","5") = "7"
    & sK0_church_46_14_7_Z("6","6") = "7"
    & sK0_church_46_14_7_Z("6","7") = "1"
    & sK0_church_46_14_7_Z("6","8") = "7"
    & sK0_church_46_14_7_Z("6","9") = "10"
    & sK0_church_46_14_7_Z("6","10") = "5"
    & sK0_church_46_14_7_Z("6","11") = "8"
    & sK0_church_46_14_7_Z("7","1") = "5"
    & sK0_church_46_14_7_Z("7","2") = "5"
    & sK0_church_46_14_7_Z("7","3") = "1"
    & sK0_church_46_14_7_Z("7","4") = "10"
    & sK0_church_46_14_7_Z("7","5") = "2"
    & sK0_church_46_14_7_Z("7","6") = "3"
    & sK0_church_46_14_7_Z("7","7") = "11"
    & sK0_church_46_14_7_Z("7","8") = "8"
    & sK0_church_46_14_7_Z("7","9") = "10"
    & sK0_church_46_14_7_Z("7","10") = "5"
    & sK0_church_46_14_7_Z("7","11") = "2"
    & sK0_church_46_14_7_Z("8","1") = "2"
    & sK0_church_46_14_7_Z("8","2") = "5"
    & sK0_church_46_14_7_Z("8","3") = "9"
    & sK0_church_46_14_7_Z("8","4") = "10"
    & sK0_church_46_14_7_Z("8","5") = "5"
    & sK0_church_46_14_7_Z("8","6") = "3"
    & sK0_church_46_14_7_Z("8","7") = "9"
    & sK0_church_46_14_7_Z("8","8") = "3"
    & sK0_church_46_14_7_Z("8","9") = "2"
    & sK0_church_46_14_7_Z("8","10") = "7"
    & sK0_church_46_14_7_Z("8","11") = "3"
    & sK0_church_46_14_7_Z("9","1") = "5"
    & sK0_church_46_14_7_Z("9","2") = "5"
    & sK0_church_46_14_7_Z("9","3") = "4"
    & sK0_church_46_14_7_Z("9","4") = "2"
    & sK0_church_46_14_7_Z("9","5") = "5"
    & sK0_church_46_14_7_Z("9","6") = "10"
    & sK0_church_46_14_7_Z("9","7") = "10"
    & sK0_church_46_14_7_Z("9","8") = "10"
    & sK0_church_46_14_7_Z("9","9") = "10"
    & sK0_church_46_14_7_Z("9","10") = "5"
    & sK0_church_46_14_7_Z("9","11") = "10"
    & sK0_church_46_14_7_Z("10","1") = "5"
    & sK0_church_46_14_7_Z("10","2") = "10"
    & sK0_church_46_14_7_Z("10","3") = "1"
    & sK0_church_46_14_7_Z("10","4") = "10"
    & sK0_church_46_14_7_Z("10","5") = "7"
    & sK0_church_46_14_7_Z("10","6") = "9"
    & sK0_church_46_14_7_Z("10","7") = "9"
    & sK0_church_46_14_7_Z("10","8") = "10"
    & sK0_church_46_14_7_Z("10","9") = "7"
    & sK0_church_46_14_7_Z("10","10") = "5"
    & sK0_church_46_14_7_Z("10","11") = "10"
    & sK0_church_46_14_7_Z("11","1") = "6"
    & sK0_church_46_14_7_Z("11","2") = "5"
    & sK0_church_46_14_7_Z("11","3") = "2"
    & sK0_church_46_14_7_Z("11","4") = "8"
    & sK0_church_46_14_7_Z("11","5") = "9"
    & sK0_church_46_14_7_Z("11","6") = "9"
    & sK0_church_46_14_7_Z("11","7") = "3"
    & sK0_church_46_14_7_Z("11","8") = "2"
    & sK0_church_46_14_7_Z("11","9") = "1"
    & sK0_church_46_14_7_Z("11","10") = "6"
    & sK0_church_46_14_7_Z("11","11") = "1" ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN335+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.14  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jul 11 15:05:45 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  Paradox, version 4.0, 2010-06-29.
% 0.15/0.36  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.15/0.37  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.05/52.21  +++ BEGIN MODEL
% 52.05/52.21  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 52.05/52.21  +++ END MODEL
% 52.05/52.21  +++ RESULT: CounterSatisfiable
% 52.05/52.21  SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------