TSTP Solution File: SWV220+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV220+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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  : 300s
% DateTime : Thu Aug 31 22:31:39 EDT 2023

% Result   : Theorem 1.01s 1.15s
% Output   : CNFRefutation 1.01s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f475)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,conjecture,
    ! [X13,X17] :
      ( ( leq(X17,n5)
        & leq(X13,n5)
        & leq(n0,X17)
        & leq(n0,X13) )
     => ( ( n5 = X17
          & n3 = X17
          & n3 = X13
          & n1 = X13
          & ~ ( n5 = X17
              & n5 = X13 )
          & ~ ( n5 = X13
              & n4 = X17 )
          & ~ ( n5 = X17
              & n4 = X13 )
          & ~ ( n4 = X17
              & n4 = X13 )
          & ~ ( n5 = X13
              & n3 = X17 )
          & ~ ( n4 = X13
              & n3 = X17 )
          & ~ ( n5 = X17
              & n3 = X13 )
          & ~ ( n4 = X17
              & n3 = X13 )
          & ~ ( n5 = X13
              & n2 = X17 )
          & ~ ( n4 = X13
              & n2 = X17 )
          & ~ ( n5 = X17
              & n2 = X13 )
          & ~ ( n5 = X13
              & n1 = X17 )
          & ~ ( n4 = X13
              & n1 = X17 )
          & ~ ( n5 = X13
              & n0 = X17 )
          & ~ ( n4 = X13
              & n0 = X17 ) )
       => n0 = times(divide(n1,n400),a_select2(sigma,n3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0361) ).

fof(f54,negated_conjecture,
    ~ ! [X13,X17] :
        ( ( leq(X17,n5)
          & leq(X13,n5)
          & leq(n0,X17)
          & leq(n0,X13) )
       => ( ( n5 = X17
            & n3 = X17
            & n3 = X13
            & n1 = X13
            & ~ ( n5 = X17
                & n5 = X13 )
            & ~ ( n5 = X13
                & n4 = X17 )
            & ~ ( n5 = X17
                & n4 = X13 )
            & ~ ( n4 = X17
                & n4 = X13 )
            & ~ ( n5 = X13
                & n3 = X17 )
            & ~ ( n4 = X13
                & n3 = X17 )
            & ~ ( n5 = X17
                & n3 = X13 )
            & ~ ( n4 = X17
                & n3 = X13 )
            & ~ ( n5 = X13
                & n2 = X17 )
            & ~ ( n4 = X13
                & n2 = X17 )
            & ~ ( n5 = X17
                & n2 = X13 )
            & ~ ( n5 = X13
                & n1 = X17 )
            & ~ ( n4 = X13
                & n1 = X17 )
            & ~ ( n5 = X13
                & n0 = X17 )
            & ~ ( n4 = X13
                & n0 = X17 ) )
         => n0 = times(divide(n1,n400),a_select2(sigma,n3)) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f114,plain,
    ~ ! [X0,X1] :
        ( ( leq(X1,n5)
          & leq(X0,n5)
          & leq(n0,X1)
          & leq(n0,X0) )
       => ( ( n5 = X1
            & n3 = X1
            & n3 = X0
            & n1 = X0
            & ~ ( n5 = X1
                & n5 = X0 )
            & ~ ( n5 = X0
                & n4 = X1 )
            & ~ ( n5 = X1
                & n4 = X0 )
            & ~ ( n4 = X1
                & n4 = X0 )
            & ~ ( n5 = X0
                & n3 = X1 )
            & ~ ( n4 = X0
                & n3 = X1 )
            & ~ ( n5 = X1
                & n3 = X0 )
            & ~ ( n4 = X1
                & n3 = X0 )
            & ~ ( n5 = X0
                & n2 = X1 )
            & ~ ( n4 = X0
                & n2 = X1 )
            & ~ ( n5 = X1
                & n2 = X0 )
            & ~ ( n5 = X0
                & n1 = X1 )
            & ~ ( n4 = X0
                & n1 = X1 )
            & ~ ( n5 = X0
                & n0 = X1 )
            & ~ ( n4 = X0
                & n0 = X1 ) )
         => n0 = times(divide(n1,n400),a_select2(sigma,n3)) ) ),
    inference(rectify,[],[f54]) ).

fof(f156,plain,
    ? [X0,X1] :
      ( n0 != times(divide(n1,n400),a_select2(sigma,n3))
      & n5 = X1
      & n3 = X1
      & n3 = X0
      & n1 = X0
      & ( n5 != X1
        | n5 != X0 )
      & ( n5 != X0
        | n4 != X1 )
      & ( n5 != X1
        | n4 != X0 )
      & ( n4 != X1
        | n4 != X0 )
      & ( n5 != X0
        | n3 != X1 )
      & ( n4 != X0
        | n3 != X1 )
      & ( n5 != X1
        | n3 != X0 )
      & ( n4 != X1
        | n3 != X0 )
      & ( n5 != X0
        | n2 != X1 )
      & ( n4 != X0
        | n2 != X1 )
      & ( n5 != X1
        | n2 != X0 )
      & ( n5 != X0
        | n1 != X1 )
      & ( n4 != X0
        | n1 != X1 )
      & ( n5 != X0
        | n0 != X1 )
      & ( n4 != X0
        | n0 != X1 )
      & leq(X1,n5)
      & leq(X0,n5)
      & leq(n0,X1)
      & leq(n0,X0) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f157,plain,
    ? [X0,X1] :
      ( n0 != times(divide(n1,n400),a_select2(sigma,n3))
      & n5 = X1
      & n3 = X1
      & n3 = X0
      & n1 = X0
      & ( n5 != X1
        | n5 != X0 )
      & ( n5 != X0
        | n4 != X1 )
      & ( n5 != X1
        | n4 != X0 )
      & ( n4 != X1
        | n4 != X0 )
      & ( n5 != X0
        | n3 != X1 )
      & ( n4 != X0
        | n3 != X1 )
      & ( n5 != X1
        | n3 != X0 )
      & ( n4 != X1
        | n3 != X0 )
      & ( n5 != X0
        | n2 != X1 )
      & ( n4 != X0
        | n2 != X1 )
      & ( n5 != X1
        | n2 != X0 )
      & ( n5 != X0
        | n1 != X1 )
      & ( n4 != X0
        | n1 != X1 )
      & ( n5 != X0
        | n0 != X1 )
      & ( n4 != X0
        | n0 != X1 )
      & leq(X1,n5)
      & leq(X0,n5)
      & leq(n0,X1)
      & leq(n0,X0) ),
    inference(flattening,[],[f156]) ).

fof(f224,plain,
    ( ? [X0,X1] :
        ( n0 != times(divide(n1,n400),a_select2(sigma,n3))
        & n5 = X1
        & n3 = X1
        & n3 = X0
        & n1 = X0
        & ( n5 != X1
          | n5 != X0 )
        & ( n5 != X0
          | n4 != X1 )
        & ( n5 != X1
          | n4 != X0 )
        & ( n4 != X1
          | n4 != X0 )
        & ( n5 != X0
          | n3 != X1 )
        & ( n4 != X0
          | n3 != X1 )
        & ( n5 != X1
          | n3 != X0 )
        & ( n4 != X1
          | n3 != X0 )
        & ( n5 != X0
          | n2 != X1 )
        & ( n4 != X0
          | n2 != X1 )
        & ( n5 != X1
          | n2 != X0 )
        & ( n5 != X0
          | n1 != X1 )
        & ( n4 != X0
          | n1 != X1 )
        & ( n5 != X0
          | n0 != X1 )
        & ( n4 != X0
          | n0 != X1 )
        & leq(X1,n5)
        & leq(X0,n5)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( n0 != times(divide(n1,n400),a_select2(sigma,n3))
      & n5 = sK32
      & n3 = sK32
      & n3 = sK31
      & n1 = sK31
      & ( n5 != sK32
        | n5 != sK31 )
      & ( n5 != sK31
        | n4 != sK32 )
      & ( n5 != sK32
        | n4 != sK31 )
      & ( n4 != sK32
        | n4 != sK31 )
      & ( n5 != sK31
        | n3 != sK32 )
      & ( n4 != sK31
        | n3 != sK32 )
      & ( n5 != sK32
        | n3 != sK31 )
      & ( n4 != sK32
        | n3 != sK31 )
      & ( n5 != sK31
        | n2 != sK32 )
      & ( n4 != sK31
        | n2 != sK32 )
      & ( n5 != sK32
        | n2 != sK31 )
      & ( n5 != sK31
        | n1 != sK32 )
      & ( n4 != sK31
        | n1 != sK32 )
      & ( n5 != sK31
        | n0 != sK32 )
      & ( n4 != sK31
        | n0 != sK32 )
      & leq(sK32,n5)
      & leq(sK31,n5)
      & leq(n0,sK32)
      & leq(n0,sK31) ) ),
    introduced(choice_axiom,[]) ).

fof(f225,plain,
    ( n0 != times(divide(n1,n400),a_select2(sigma,n3))
    & n5 = sK32
    & n3 = sK32
    & n3 = sK31
    & n1 = sK31
    & ( n5 != sK32
      | n5 != sK31 )
    & ( n5 != sK31
      | n4 != sK32 )
    & ( n5 != sK32
      | n4 != sK31 )
    & ( n4 != sK32
      | n4 != sK31 )
    & ( n5 != sK31
      | n3 != sK32 )
    & ( n4 != sK31
      | n3 != sK32 )
    & ( n5 != sK32
      | n3 != sK31 )
    & ( n4 != sK32
      | n3 != sK31 )
    & ( n5 != sK31
      | n2 != sK32 )
    & ( n4 != sK31
      | n2 != sK32 )
    & ( n5 != sK32
      | n2 != sK31 )
    & ( n5 != sK31
      | n1 != sK32 )
    & ( n4 != sK31
      | n1 != sK32 )
    & ( n5 != sK31
      | n0 != sK32 )
    & ( n4 != sK31
      | n0 != sK32 )
    & leq(sK32,n5)
    & leq(sK31,n5)
    & leq(n0,sK32)
    & leq(n0,sK31) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f157,f224]) ).

fof(f356,plain,
    n3 = sK31,
    inference(cnf_transformation,[],[f225]) ).

fof(f357,plain,
    n3 = sK32,
    inference(cnf_transformation,[],[f225]) ).

fof(f423,plain,
    sK31 = sK32,
    inference(definition_unfolding,[],[f356,f357]) ).

cnf(c_158,negated_conjecture,
    sK31 = sK32,
    inference(cnf_transformation,[],[f423]) ).

cnf(c_170,negated_conjecture,
    sK31 != sK32,
    inference(cnf_transformation,[],[f475]) ).

cnf(c_219,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_170,c_158]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV220+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 04:29:49 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.01/1.15  % SZS status Started for theBenchmark.p
% 1.01/1.15  % SZS status Theorem for theBenchmark.p
% 1.01/1.15  
% 1.01/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.01/1.15  
% 1.01/1.15  ------  iProver source info
% 1.01/1.15  
% 1.01/1.15  git: date: 2023-05-31 18:12:56 +0000
% 1.01/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.01/1.15  git: non_committed_changes: false
% 1.01/1.15  git: last_make_outside_of_git: false
% 1.01/1.15  
% 1.01/1.15  ------ Parsing...
% 1.01/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.01/1.15  
% 1.01/1.15  ------ Preprocessing...
% 1.01/1.15  
% 1.01/1.15  % SZS status Theorem for theBenchmark.p
% 1.01/1.15  
% 1.01/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.01/1.15  
% 1.01/1.15  
%------------------------------------------------------------------------------