TSTP Solution File: SWV220+1 by PyRes---1.3

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%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV220+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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 : Wed Jul 20 21:16:11 EDT 2022

% Result   : Theorem 0.90s 1.12s
% Output   : Refutation 0.90s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0361,conjecture,
    ! [A,B] :
      ( ( leq(n0,A)
        & leq(n0,B)
        & leq(A,n5)
        & leq(B,n5) )
     => ( ( ~ ( n0 = B
              & n4 = A )
          & ~ ( n0 = B
              & n5 = A )
          & ~ ( n1 = B
              & n4 = A )
          & ~ ( n1 = B
              & n5 = A )
          & ~ ( n2 = A
              & n5 = B )
          & ~ ( n2 = B
              & n4 = A )
          & ~ ( n2 = B
              & n5 = A )
          & ~ ( n3 = A
              & n4 = B )
          & ~ ( n3 = A
              & n5 = B )
          & ~ ( n3 = B
              & n4 = A )
          & ~ ( n3 = B
              & n5 = A )
          & ~ ( n4 = A
              & n4 = B )
          & ~ ( n4 = A
              & n5 = B )
          & ~ ( n4 = B
              & n5 = A )
          & ~ ( n5 = A
              & n5 = B )
          & n1 = A
          & n3 = A
          & n3 = B
          & n5 = B )
       => times(divide(n1,n400),a_select2(sigma,n3)) = n0 ) ),
    input ).

fof(c75,negated_conjecture,
    ~ ! [A,B] :
        ( ( leq(n0,A)
          & leq(n0,B)
          & leq(A,n5)
          & leq(B,n5) )
       => ( ( ~ ( n0 = B
                & n4 = A )
            & ~ ( n0 = B
                & n5 = A )
            & ~ ( n1 = B
                & n4 = A )
            & ~ ( n1 = B
                & n5 = A )
            & ~ ( n2 = A
                & n5 = B )
            & ~ ( n2 = B
                & n4 = A )
            & ~ ( n2 = B
                & n5 = A )
            & ~ ( n3 = A
                & n4 = B )
            & ~ ( n3 = A
                & n5 = B )
            & ~ ( n3 = B
                & n4 = A )
            & ~ ( n3 = B
                & n5 = A )
            & ~ ( n4 = A
                & n4 = B )
            & ~ ( n4 = A
                & n5 = B )
            & ~ ( n4 = B
                & n5 = A )
            & ~ ( n5 = A
                & n5 = B )
            & n1 = A
            & n3 = A
            & n3 = B
            & n5 = B )
         => times(divide(n1,n400),a_select2(sigma,n3)) = n0 ) ),
    inference(assume_negation,status(cth),[quaternion_ds1_symm_0361]) ).

fof(c76,negated_conjecture,
    ? [A,B] :
      ( leq(n0,A)
      & leq(n0,B)
      & leq(A,n5)
      & leq(B,n5)
      & ( n0 != B
        | n4 != A )
      & ( n0 != B
        | n5 != A )
      & ( n1 != B
        | n4 != A )
      & ( n1 != B
        | n5 != A )
      & ( n2 != A
        | n5 != B )
      & ( n2 != B
        | n4 != A )
      & ( n2 != B
        | n5 != A )
      & ( n3 != A
        | n4 != B )
      & ( n3 != A
        | n5 != B )
      & ( n3 != B
        | n4 != A )
      & ( n3 != B
        | n5 != A )
      & ( n4 != A
        | n4 != B )
      & ( n4 != A
        | n5 != B )
      & ( n4 != B
        | n5 != A )
      & ( n5 != A
        | n5 != B )
      & n1 = A
      & n3 = A
      & n3 = B
      & n5 = B
      & times(divide(n1,n400),a_select2(sigma,n3)) != n0 ),
    inference(fof_nnf,status(thm),[c75]) ).

fof(c77,negated_conjecture,
    ? [X8,X9] :
      ( leq(n0,X8)
      & leq(n0,X9)
      & leq(X8,n5)
      & leq(X9,n5)
      & ( n0 != X9
        | n4 != X8 )
      & ( n0 != X9
        | n5 != X8 )
      & ( n1 != X9
        | n4 != X8 )
      & ( n1 != X9
        | n5 != X8 )
      & ( n2 != X8
        | n5 != X9 )
      & ( n2 != X9
        | n4 != X8 )
      & ( n2 != X9
        | n5 != X8 )
      & ( n3 != X8
        | n4 != X9 )
      & ( n3 != X8
        | n5 != X9 )
      & ( n3 != X9
        | n4 != X8 )
      & ( n3 != X9
        | n5 != X8 )
      & ( n4 != X8
        | n4 != X9 )
      & ( n4 != X8
        | n5 != X9 )
      & ( n4 != X9
        | n5 != X8 )
      & ( n5 != X8
        | n5 != X9 )
      & n1 = X8
      & n3 = X8
      & n3 = X9
      & n5 = X9
      & times(divide(n1,n400),a_select2(sigma,n3)) != n0 ),
    inference(variable_rename,status(thm),[c76]) ).

fof(c78,negated_conjecture,
    ( leq(n0,skolem0001)
    & leq(n0,skolem0002)
    & leq(skolem0001,n5)
    & leq(skolem0002,n5)
    & ( n0 != skolem0002
      | n4 != skolem0001 )
    & ( n0 != skolem0002
      | n5 != skolem0001 )
    & ( n1 != skolem0002
      | n4 != skolem0001 )
    & ( n1 != skolem0002
      | n5 != skolem0001 )
    & ( n2 != skolem0001
      | n5 != skolem0002 )
    & ( n2 != skolem0002
      | n4 != skolem0001 )
    & ( n2 != skolem0002
      | n5 != skolem0001 )
    & ( n3 != skolem0001
      | n4 != skolem0002 )
    & ( n3 != skolem0001
      | n5 != skolem0002 )
    & ( n3 != skolem0002
      | n4 != skolem0001 )
    & ( n3 != skolem0002
      | n5 != skolem0001 )
    & ( n4 != skolem0001
      | n4 != skolem0002 )
    & ( n4 != skolem0001
      | n5 != skolem0002 )
    & ( n4 != skolem0002
      | n5 != skolem0001 )
    & ( n5 != skolem0001
      | n5 != skolem0002 )
    & n1 = skolem0001
    & n3 = skolem0001
    & n3 = skolem0002
    & n5 = skolem0002
    & times(divide(n1,n400),a_select2(sigma,n3)) != n0 ),
    inference(skolemize,status(esa),[c77]) ).

cnf(c99,negated_conjecture,
    n3 = skolem0001,
    inference(split_conjunct,status(thm),[c78]) ).

cnf(c101,negated_conjecture,
    n5 = skolem0002,
    inference(split_conjunct,status(thm),[c78]) ).

cnf(c91,negated_conjecture,
    ( n3 != skolem0001
    | n5 != skolem0002 ),
    inference(split_conjunct,status(thm),[c78]) ).

cnf(c1262,plain,
    n3 != skolem0001,
    inference(resolution,status(thm),[c91,c101]) ).

cnf(c1263,plain,
    $false,
    inference(resolution,status(thm),[c1262,c99]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV220+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n018.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  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 23:56:29 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.90/1.12  # Version:  1.3
% 0.90/1.12  # SZS status Theorem
% 0.90/1.12  # SZS output start CNFRefutation
% See solution above
% 0.90/1.12  
% 0.90/1.12  # Initial clauses    : 345
% 0.90/1.12  # Processed clauses  : 198
% 0.90/1.12  # Factors computed   : 0
% 0.90/1.12  # Resolvents computed: 775
% 0.90/1.12  # Tautologies deleted: 1
% 0.90/1.12  # Forward subsumed   : 72
% 0.90/1.12  # Backward subsumed  : 3
% 0.90/1.12  # -------- CPU Time ---------
% 0.90/1.12  # User time          : 0.753 s
% 0.90/1.12  # System time        : 0.012 s
% 0.90/1.12  # Total time         : 0.765 s
%------------------------------------------------------------------------------