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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV114+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:20:15 PM UTC 2026

% Result   : Theorem 1.65s 0.52s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  170 (  39 unt;  12 def)
%            Number of atoms       :  665 (  66 equ)
%            Maximal formula atoms :   39 (   3 avg)
%            Number of connectives :  785 ( 290   ~; 362   |; 101   &)
%                                         (  13 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  13 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  18 con; 0-3 aty)
%            Number of variables   :  172 (   0 sgn 156   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( leq(X0,X1)
        & leq(X1,X2) )
     => leq(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
    <=> gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).

fof(f28,axiom,
    succ(tptp_minus_1) = n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).

fof(f29,axiom,
    ! [X0] : plus(X0,n1) = succ(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).

fof(f40,axiom,
    ! [X0] : pred(succ(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).

fof(f53,conjecture,
    ( ( leq(n0,pv5)
      & leq(pv5,minus(n999,n1))
      & ! [X0,X1] :
          ( ( leq(n0,X0)
            & leq(n0,X1)
            & leq(X0,minus(n6,n1))
            & leq(X1,minus(n6,n1)) )
         => a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
      & ! [X2,X3] :
          ( ( leq(n0,X2)
            & leq(n0,X3)
            & leq(X2,minus(n3,n1))
            & leq(X3,minus(n3,n1)) )
         => a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
      & ! [X4,X5] :
          ( ( leq(n0,X4)
            & leq(n0,X5)
            & leq(X4,minus(n6,n1))
            & leq(X5,minus(n6,n1)) )
         => a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) ) )
   => ( leq(n0,pv5)
      & leq(pv5,minus(n999,n1))
      & ! [X6,X7] :
          ( ( leq(n0,X6)
            & leq(n0,X7)
            & leq(X6,minus(n6,n1))
            & leq(X7,minus(n6,n1)) )
         => a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6) )
      & ! [X8,X9] :
          ( ( leq(n0,X8)
            & leq(n0,X9)
            & leq(X8,minus(n3,n1))
            & leq(X9,minus(n3,n1)) )
         => a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8) )
      & ! [X10,X11] :
          ( ( leq(n0,X10)
            & leq(n0,X11)
            & leq(X10,minus(n6,n1))
            & leq(X11,minus(n6,n1)) )
         => a_select3(pminus_ds1_filter,X10,X11) = a_select3(pminus_ds1_filter,X11,X10) )
      & ! [X12] :
          ( ( leq(n0,X12)
            & leq(X12,minus(n0,n1)) )
         => ! [X13] :
              ( ( leq(n0,X13)
                & leq(X13,minus(n6,n1)) )
             => a_select3(id_ds1_filter,X12,X13) = a_select3(id_ds1_filter,X13,X12) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0007) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,pv5)
        & leq(pv5,minus(n999,n1))
        & ! [X0,X1] :
            ( ( leq(n0,X0)
              & leq(n0,X1)
              & leq(X0,minus(n6,n1))
              & leq(X1,minus(n6,n1)) )
           => a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
        & ! [X2,X3] :
            ( ( leq(n0,X2)
              & leq(n0,X3)
              & leq(X2,minus(n3,n1))
              & leq(X3,minus(n3,n1)) )
           => a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
        & ! [X4,X5] :
            ( ( leq(n0,X4)
              & leq(n0,X5)
              & leq(X4,minus(n6,n1))
              & leq(X5,minus(n6,n1)) )
           => a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) ) )
     => ( leq(n0,pv5)
        & leq(pv5,minus(n999,n1))
        & ! [X6,X7] :
            ( ( leq(n0,X6)
              & leq(n0,X7)
              & leq(X6,minus(n6,n1))
              & leq(X7,minus(n6,n1)) )
           => a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6) )
        & ! [X8,X9] :
            ( ( leq(n0,X8)
              & leq(n0,X9)
              & leq(X8,minus(n3,n1))
              & leq(X9,minus(n3,n1)) )
           => a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8) )
        & ! [X10,X11] :
            ( ( leq(n0,X10)
              & leq(n0,X11)
              & leq(X10,minus(n6,n1))
              & leq(X11,minus(n6,n1)) )
           => a_select3(pminus_ds1_filter,X10,X11) = a_select3(pminus_ds1_filter,X11,X10) )
        & ! [X12] :
            ( ( leq(n0,X12)
              & leq(X12,minus(n0,n1)) )
           => ! [X13] :
                ( ( leq(n0,X13)
                  & leq(X13,minus(n6,n1)) )
               => a_select3(id_ds1_filter,X12,X13) = a_select3(id_ds1_filter,X13,X12) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ leq(X1,X2) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ leq(X1,X2) ),
    inference(flattening,[],[f115]) ).

fof(f153,plain,
    ( ( ~ leq(n0,pv5)
      | ~ leq(pv5,minus(n999,n1))
      | ? [X6,X7] :
          ( a_select3(q_ds1_filter,X6,X7) != a_select3(q_ds1_filter,X7,X6)
          & leq(n0,X6)
          & leq(n0,X7)
          & leq(X6,minus(n6,n1))
          & leq(X7,minus(n6,n1)) )
      | ? [X8,X9] :
          ( a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8)
          & leq(n0,X8)
          & leq(n0,X9)
          & leq(X8,minus(n3,n1))
          & leq(X9,minus(n3,n1)) )
      | ? [X10,X11] :
          ( a_select3(pminus_ds1_filter,X10,X11) != a_select3(pminus_ds1_filter,X11,X10)
          & leq(n0,X10)
          & leq(n0,X11)
          & leq(X10,minus(n6,n1))
          & leq(X11,minus(n6,n1)) )
      | ? [X12] :
          ( ? [X13] :
              ( a_select3(id_ds1_filter,X12,X13) != a_select3(id_ds1_filter,X13,X12)
              & leq(n0,X13)
              & leq(X13,minus(n6,n1)) )
          & leq(n0,X12)
          & leq(X12,minus(n0,n1)) ) )
    & leq(n0,pv5)
    & leq(pv5,minus(n999,n1))
    & ! [X0,X1] :
        ( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
        | ~ leq(n0,X0)
        | ~ leq(n0,X1)
        | ~ leq(X0,minus(n6,n1))
        | ~ leq(X1,minus(n6,n1)) )
    & ! [X2,X3] :
        ( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,minus(n3,n1))
        | ~ leq(X3,minus(n3,n1)) )
    & ! [X4,X5] :
        ( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
        | ~ leq(n0,X4)
        | ~ leq(n0,X5)
        | ~ leq(X4,minus(n6,n1))
        | ~ leq(X5,minus(n6,n1)) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f154,plain,
    ( ( ~ leq(n0,pv5)
      | ~ leq(pv5,minus(n999,n1))
      | ? [X6,X7] :
          ( a_select3(q_ds1_filter,X6,X7) != a_select3(q_ds1_filter,X7,X6)
          & leq(n0,X6)
          & leq(n0,X7)
          & leq(X6,minus(n6,n1))
          & leq(X7,minus(n6,n1)) )
      | ? [X8,X9] :
          ( a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8)
          & leq(n0,X8)
          & leq(n0,X9)
          & leq(X8,minus(n3,n1))
          & leq(X9,minus(n3,n1)) )
      | ? [X10,X11] :
          ( a_select3(pminus_ds1_filter,X10,X11) != a_select3(pminus_ds1_filter,X11,X10)
          & leq(n0,X10)
          & leq(n0,X11)
          & leq(X10,minus(n6,n1))
          & leq(X11,minus(n6,n1)) )
      | ? [X12] :
          ( ? [X13] :
              ( a_select3(id_ds1_filter,X12,X13) != a_select3(id_ds1_filter,X13,X12)
              & leq(n0,X13)
              & leq(X13,minus(n6,n1)) )
          & leq(n0,X12)
          & leq(X12,minus(n0,n1)) ) )
    & leq(n0,pv5)
    & leq(pv5,minus(n999,n1))
    & ! [X0,X1] :
        ( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
        | ~ leq(n0,X0)
        | ~ leq(n0,X1)
        | ~ leq(X0,minus(n6,n1))
        | ~ leq(X1,minus(n6,n1)) )
    & ! [X2,X3] :
        ( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,minus(n3,n1))
        | ~ leq(X3,minus(n3,n1)) )
    & ! [X4,X5] :
        ( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
        | ~ leq(n0,X4)
        | ~ leq(n0,X5)
        | ~ leq(X4,minus(n6,n1))
        | ~ leq(X5,minus(n6,n1)) ) ),
    inference(flattening,[],[f153]) ).

fof(f171,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f173,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X0,X1)
      | ~ leq(X1,X2)
      | leq(X0,X2) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(X0,pred(X1)) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f296,plain,
    n0 = succ(tptp_minus_1),
    inference(cnf_transformation,[],[f28]) ).

fof(f297,plain,
    ! [X0] : succ(X0) = plus(X0,n1),
    inference(cnf_transformation,[],[f29]) ).

fof(f307,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f308,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[],[f40]) ).

fof(f342,plain,
    ! [X6,X7] :
      ( leq(X7,minus(n6,n1))
      | ~ sP39(X7,X6) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f343,plain,
    ! [X6,X7] :
      ( leq(X6,minus(n6,n1))
      | ~ sP39(X7,X6) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f344,plain,
    ! [X6,X7] :
      ( leq(n0,X7)
      | ~ sP39(X7,X6) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f345,plain,
    ! [X6,X7] :
      ( leq(n0,X6)
      | ~ sP39(X7,X6) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f346,plain,
    ! [X6,X7] :
      ( a_select3(q_ds1_filter,X6,X7) != a_select3(q_ds1_filter,X7,X6)
      | ~ sP39(X7,X6) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f347,plain,
    ! [X8,X9] :
      ( leq(X9,minus(n3,n1))
      | ~ sP38(X9,X8) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f348,plain,
    ! [X8,X9] :
      ( leq(X8,minus(n3,n1))
      | ~ sP38(X9,X8) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f349,plain,
    ! [X8,X9] :
      ( leq(n0,X9)
      | ~ sP38(X9,X8) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f350,plain,
    ! [X8,X9] :
      ( leq(n0,X8)
      | ~ sP38(X9,X8) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f351,plain,
    ! [X8,X9] :
      ( a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8)
      | ~ sP38(X9,X8) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f352,plain,
    ( leq(n0,sK31)
    | leq(sK33,minus(n6,n1))
    | sP38(sK35,sK34)
    | sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f353,plain,
    ( leq(n0,sK31)
    | leq(sK32,minus(n6,n1))
    | sP38(sK35,sK34)
    | sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f354,plain,
    ( leq(n0,sK31)
    | leq(n0,sK33)
    | sP38(sK35,sK34)
    | sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f355,plain,
    ( leq(n0,sK31)
    | leq(n0,sK32)
    | sP38(sK35,sK34)
    | sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f356,plain,
    ( leq(n0,sK31)
    | a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
    | sP38(sK35,sK34)
    | sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f357,plain,
    ( leq(sK31,minus(n0,n1))
    | leq(sK33,minus(n6,n1))
    | sP38(sK35,sK34)
    | sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f358,plain,
    ( leq(sK31,minus(n0,n1))
    | leq(sK32,minus(n6,n1))
    | sP38(sK35,sK34)
    | sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f359,plain,
    ( leq(sK31,minus(n0,n1))
    | leq(n0,sK33)
    | sP38(sK35,sK34)
    | sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f360,plain,
    ( leq(sK31,minus(n0,n1))
    | leq(n0,sK32)
    | sP38(sK35,sK34)
    | sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f361,plain,
    ( leq(sK31,minus(n0,n1))
    | a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
    | sP38(sK35,sK34)
    | sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ~ leq(X1,minus(n6,n1))
      | ~ leq(X0,minus(n6,n1))
      | ~ leq(n0,X1)
      | ~ leq(n0,X0)
      | a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f363,plain,
    ! [X2,X3] :
      ( ~ leq(X3,minus(n3,n1))
      | ~ leq(X2,minus(n3,n1))
      | ~ leq(n0,X3)
      | ~ leq(n0,X2)
      | a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f364,plain,
    ! [X4,X5] :
      ( ~ leq(X5,minus(n6,n1))
      | ~ leq(X4,minus(n6,n1))
      | ~ leq(n0,X5)
      | ~ leq(n0,X4)
      | a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f365,plain,
    leq(pv5,minus(n999,n1)),
    inference(cnf_transformation,[],[f154]) ).

fof(f366,plain,
    leq(n0,pv5),
    inference(cnf_transformation,[],[f154]) ).

fof(f416,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(X0,minus(X1,n1)) ),
    inference(definition_unfolding,[],[f177,f307]) ).

fof(f422,plain,
    n0 = plus(tptp_minus_1,n1),
    inference(definition_unfolding,[],[f296,f297]) ).

fof(f432,plain,
    ! [X0] : minus(plus(X0,n1),n1) = X0,
    inference(definition_unfolding,[],[f308,f307,f297]) ).

fof(f448,plain,
    ! [X0] : gt(X0,X0),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f451,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | ~ leq(X0,minus(X1,n1)) ),
    inference(consistent_polarity_flipping,[],[f416]) ).

fof(f539,plain,
    ( leq(sK31,minus(n0,n1))
    | a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
    | ~ sP38(sK35,sK34)
    | ~ sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(consistent_polarity_flipping,[],[f361]) ).

fof(f540,plain,
    ( leq(sK31,minus(n0,n1))
    | leq(n0,sK32)
    | ~ sP38(sK35,sK34)
    | ~ sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(consistent_polarity_flipping,[],[f360]) ).

fof(f541,plain,
    ( leq(sK31,minus(n0,n1))
    | leq(n0,sK33)
    | ~ sP38(sK35,sK34)
    | ~ sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(consistent_polarity_flipping,[],[f359]) ).

fof(f542,plain,
    ( leq(sK31,minus(n0,n1))
    | leq(sK32,minus(n6,n1))
    | ~ sP38(sK35,sK34)
    | ~ sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(consistent_polarity_flipping,[],[f358]) ).

fof(f543,plain,
    ( leq(sK31,minus(n0,n1))
    | leq(sK33,minus(n6,n1))
    | ~ sP38(sK35,sK34)
    | ~ sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(consistent_polarity_flipping,[],[f357]) ).

fof(f544,plain,
    ( leq(n0,sK31)
    | a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
    | ~ sP38(sK35,sK34)
    | ~ sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(consistent_polarity_flipping,[],[f356]) ).

fof(f545,plain,
    ( leq(n0,sK31)
    | leq(n0,sK32)
    | ~ sP38(sK35,sK34)
    | ~ sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(consistent_polarity_flipping,[],[f355]) ).

fof(f546,plain,
    ( leq(n0,sK31)
    | leq(n0,sK33)
    | ~ sP38(sK35,sK34)
    | ~ sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(consistent_polarity_flipping,[],[f354]) ).

fof(f547,plain,
    ( leq(n0,sK31)
    | leq(sK32,minus(n6,n1))
    | ~ sP38(sK35,sK34)
    | ~ sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(consistent_polarity_flipping,[],[f353]) ).

fof(f548,plain,
    ( leq(n0,sK31)
    | leq(sK33,minus(n6,n1))
    | ~ sP38(sK35,sK34)
    | ~ sP39(sK37,sK36)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(consistent_polarity_flipping,[],[f352]) ).

fof(f549,plain,
    ! [X8,X9] :
      ( sP38(X9,X8)
      | a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8) ),
    inference(consistent_polarity_flipping,[],[f351]) ).

fof(f550,plain,
    ! [X8,X9] :
      ( sP38(X9,X8)
      | leq(n0,X8) ),
    inference(consistent_polarity_flipping,[],[f350]) ).

fof(f551,plain,
    ! [X8,X9] :
      ( sP38(X9,X8)
      | leq(n0,X9) ),
    inference(consistent_polarity_flipping,[],[f349]) ).

fof(f552,plain,
    ! [X8,X9] :
      ( leq(X8,minus(n3,n1))
      | sP38(X9,X8) ),
    inference(consistent_polarity_flipping,[],[f348]) ).

fof(f553,plain,
    ! [X8,X9] :
      ( leq(X9,minus(n3,n1))
      | sP38(X9,X8) ),
    inference(consistent_polarity_flipping,[],[f347]) ).

fof(f554,plain,
    ! [X6,X7] :
      ( a_select3(q_ds1_filter,X6,X7) != a_select3(q_ds1_filter,X7,X6)
      | sP39(X7,X6) ),
    inference(consistent_polarity_flipping,[],[f346]) ).

fof(f555,plain,
    ! [X6,X7] :
      ( sP39(X7,X6)
      | leq(n0,X6) ),
    inference(consistent_polarity_flipping,[],[f345]) ).

fof(f556,plain,
    ! [X6,X7] :
      ( sP39(X7,X6)
      | leq(n0,X7) ),
    inference(consistent_polarity_flipping,[],[f344]) ).

fof(f557,plain,
    ! [X6,X7] :
      ( leq(X6,minus(n6,n1))
      | sP39(X7,X6) ),
    inference(consistent_polarity_flipping,[],[f343]) ).

fof(f558,plain,
    ! [X6,X7] :
      ( leq(X7,minus(n6,n1))
      | sP39(X7,X6) ),
    inference(consistent_polarity_flipping,[],[f342]) ).

fof(f611,definition,
    ( spl41_1
  <=> leq(n0,pv5) ),
    introduced(definition,[new_symbols(definition,[spl41_1])],[avatar_definition]) ).

fof(f615,definition,
    ( spl41_2
  <=> leq(pv5,minus(n999,n1)) ),
    introduced(definition,[new_symbols(definition,[spl41_2])],[avatar_definition]) ).

fof(f619,definition,
    ( spl41_3
  <=> sP39(sK37,sK36) ),
    introduced(definition,[new_symbols(definition,[spl41_3])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ sP39(sK37,sK36)
    | spl41_3 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f623,definition,
    ( spl41_4
  <=> sP38(sK35,sK34) ),
    introduced(definition,[new_symbols(definition,[spl41_4])],[avatar_definition]) ).

fof(f625,plain,
    ( ~ sP38(sK35,sK34)
    | spl41_4 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f627,definition,
    ( spl41_5
  <=> a_select3(pminus_ds1_filter,sK32,sK33) = a_select3(pminus_ds1_filter,sK33,sK32) ),
    introduced(definition,[new_symbols(definition,[spl41_5])],[avatar_definition]) ).

fof(f629,plain,
    ( a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
    | spl41_5 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f646,definition,
    ( spl41_9
  <=> leq(n0,sK32) ),
    introduced(definition,[new_symbols(definition,[spl41_9])],[avatar_definition]) ).

fof(f648,plain,
    ( leq(n0,sK32)
    | ~ spl41_9 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f653,definition,
    ( spl41_10
  <=> leq(n0,sK33) ),
    introduced(definition,[new_symbols(definition,[spl41_10])],[avatar_definition]) ).

fof(f655,plain,
    ( leq(n0,sK33)
    | ~ spl41_10 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f660,definition,
    ( spl41_11
  <=> leq(sK32,minus(n6,n1)) ),
    introduced(definition,[new_symbols(definition,[spl41_11])],[avatar_definition]) ).

fof(f662,plain,
    ( leq(sK32,minus(n6,n1))
    | ~ spl41_11 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f667,definition,
    ( spl41_12
  <=> leq(sK33,minus(n6,n1)) ),
    introduced(definition,[new_symbols(definition,[spl41_12])],[avatar_definition]) ).

fof(f669,plain,
    ( leq(sK33,minus(n6,n1))
    | ~ spl41_12 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f674,definition,
    ( spl41_13
  <=> leq(n0,sK31) ),
    introduced(definition,[new_symbols(definition,[spl41_13])],[avatar_definition]) ).

fof(f676,plain,
    ( leq(n0,sK31)
    | ~ spl41_13 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f677,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_12
    | spl41_13 ),
    inference(avatar_split_clause,[],[f548,f674,f667,f623,f619,f615,f611]) ).

fof(f678,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_11
    | spl41_13 ),
    inference(avatar_split_clause,[],[f547,f674,f660,f623,f619,f615,f611]) ).

fof(f679,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_10
    | spl41_13 ),
    inference(avatar_split_clause,[],[f546,f674,f653,f623,f619,f615,f611]) ).

fof(f680,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_9
    | spl41_13 ),
    inference(avatar_split_clause,[],[f545,f674,f646,f623,f619,f615,f611]) ).

fof(f681,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | ~ spl41_5
    | spl41_13 ),
    inference(avatar_split_clause,[],[f544,f674,f627,f623,f619,f615,f611]) ).

fof(f683,definition,
    ( spl41_14
  <=> leq(sK31,minus(n0,n1)) ),
    introduced(definition,[new_symbols(definition,[spl41_14])],[avatar_definition]) ).

fof(f685,plain,
    ( leq(sK31,minus(n0,n1))
    | ~ spl41_14 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f686,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_12
    | spl41_14 ),
    inference(avatar_split_clause,[],[f543,f683,f667,f623,f619,f615,f611]) ).

fof(f687,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_11
    | spl41_14 ),
    inference(avatar_split_clause,[],[f542,f683,f660,f623,f619,f615,f611]) ).

fof(f688,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_10
    | spl41_14 ),
    inference(avatar_split_clause,[],[f541,f683,f653,f623,f619,f615,f611]) ).

fof(f689,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_9
    | spl41_14 ),
    inference(avatar_split_clause,[],[f540,f683,f646,f623,f619,f615,f611]) ).

fof(f690,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | ~ spl41_5
    | spl41_14 ),
    inference(avatar_split_clause,[],[f539,f683,f627,f623,f619,f615,f611]) ).

fof(f691,plain,
    spl41_2,
    inference(avatar_split_clause,[],[f365,f615]) ).

fof(f692,plain,
    spl41_1,
    inference(avatar_split_clause,[],[f366,f611]) ).

fof(f697,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X0,minus(n6,n1))
      | ~ leq(n0,X1)
      | ~ leq(n0,X0)
      | a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
      | sP39(X2,X1) ),
    inference(resolution,[],[f362,f557]) ).

fof(f698,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X0,minus(n6,n1))
      | ~ leq(n0,X0)
      | a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
      | sP39(X2,X1) ),
    inference(forward_subsumption_resolution,[],[f697,f555]) ).

fof(f701,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X0,minus(n3,n1))
      | ~ leq(n0,X1)
      | ~ leq(n0,X0)
      | a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0)
      | sP38(X2,X1) ),
    inference(resolution,[],[f363,f552]) ).

fof(f702,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X0,minus(n3,n1))
      | ~ leq(n0,X0)
      | a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0)
      | sP38(X2,X1) ),
    inference(forward_subsumption_resolution,[],[f701,f550]) ).

fof(f704,plain,
    ! [X2,X3,X0,X1] :
      ( ~ leq(n0,X0)
      | a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
      | sP39(X2,X1)
      | sP39(X0,X3) ),
    inference(resolution,[],[f698,f558]) ).

fof(f707,plain,
    ! [X2,X3,X0,X1] :
      ( sP39(X2,X1)
      | sP39(X0,X3)
      | a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) ),
    inference(forward_subsumption_resolution,[],[f704,f556]) ).

fof(f750,plain,
    ! [X0,X1] :
      ( sP39(X0,X1)
      | a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) ),
    inference(factoring,[],[f707]) ).

fof(f751,plain,
    ! [X0,X1] : sP39(X0,X1),
    inference(forward_subsumption_resolution,[],[f750,f554]) ).

fof(f752,plain,
    ( $false
    | spl41_3 ),
    inference(backward_subsumption_resolution,[],[f621,f751]) ).

fof(f753,plain,
    spl41_3,
    inference(avatar_contradiction_clause,[],[f752]) ).

fof(f757,plain,
    ! [X2,X3,X0,X1] :
      ( ~ leq(n0,X0)
      | a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0)
      | sP38(X2,X1)
      | sP38(X0,X3) ),
    inference(resolution,[],[f702,f553]) ).

fof(f761,plain,
    ! [X2,X3,X0,X1] :
      ( sP38(X2,X1)
      | sP38(X0,X3)
      | a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) ),
    inference(forward_subsumption_resolution,[],[f757,f551]) ).

fof(f770,plain,
    ! [X0,X1] :
      ( sP38(X0,X1)
      | a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) ),
    inference(factoring,[],[f761]) ).

fof(f771,plain,
    ! [X0,X1] : sP38(X0,X1),
    inference(forward_subsumption_resolution,[],[f770,f549]) ).

fof(f772,plain,
    ( $false
    | spl41_4 ),
    inference(backward_subsumption_resolution,[],[f625,f771]) ).

fof(f773,plain,
    spl41_4,
    inference(avatar_contradiction_clause,[],[f772]) ).

fof(f774,plain,
    ( ! [X0] :
        ( ~ leq(X0,minus(n6,n1))
        | ~ leq(n0,sK32)
        | ~ leq(n0,X0)
        | a_select3(pminus_ds1_filter,X0,sK32) = a_select3(pminus_ds1_filter,sK32,X0) )
    | ~ spl41_11 ),
    inference(resolution,[],[f662,f364]) ).

fof(f778,plain,
    ( ! [X0] :
        ( ~ leq(X0,minus(n6,n1))
        | ~ leq(n0,X0)
        | a_select3(pminus_ds1_filter,X0,sK32) = a_select3(pminus_ds1_filter,sK32,X0) )
    | ~ spl41_9
    | ~ spl41_11 ),
    inference(forward_subsumption_resolution,[],[f774,f648]) ).

fof(f835,plain,
    tptp_minus_1 = minus(n0,n1),
    inference(superposition,[],[f432,f422]) ).

fof(f842,plain,
    ( ~ leq(n0,sK33)
    | a_select3(pminus_ds1_filter,sK32,sK33) = a_select3(pminus_ds1_filter,sK33,sK32)
    | ~ spl41_9
    | ~ spl41_11
    | ~ spl41_12 ),
    inference(resolution,[],[f778,f669]) ).

fof(f843,plain,
    ( a_select3(pminus_ds1_filter,sK32,sK33) = a_select3(pminus_ds1_filter,sK33,sK32)
    | ~ spl41_9
    | ~ spl41_10
    | ~ spl41_11
    | ~ spl41_12 ),
    inference(forward_subsumption_resolution,[],[f842,f655]) ).

fof(f844,plain,
    ( $false
    | spl41_5
    | ~ spl41_9
    | ~ spl41_10
    | ~ spl41_11
    | ~ spl41_12 ),
    inference(forward_subsumption_resolution,[],[f843,f629]) ).

fof(f845,plain,
    ( spl41_5
    | ~ spl41_9
    | ~ spl41_10
    | ~ spl41_11
    | ~ spl41_12 ),
    inference(avatar_contradiction_clause,[],[f844]) ).

fof(f901,plain,
    ! [X0] : ~ leq(X0,minus(X0,n1)),
    inference(resolution,[],[f451,f448]) ).

fof(f1001,plain,
    ( ! [X0] :
        ( ~ leq(sK31,X0)
        | leq(n0,X0) )
    | ~ spl41_13 ),
    inference(resolution,[],[f173,f676]) ).

fof(f1063,plain,
    ( leq(n0,minus(n0,n1))
    | ~ spl41_13
    | ~ spl41_14 ),
    inference(resolution,[],[f1001,f685]) ).

fof(f4055,definition,
    ( spl41_105
  <=> leq(n0,tptp_minus_1) ),
    introduced(definition,[new_symbols(definition,[spl41_105])],[avatar_definition]) ).

fof(f6384,plain,
    ( leq(n0,tptp_minus_1)
    | ~ spl41_13
    | ~ spl41_14 ),
    inference(superposition,[],[f1063,f835]) ).

fof(f6399,plain,
    ( spl41_105
    | ~ spl41_13
    | ~ spl41_14 ),
    inference(avatar_split_clause,[],[f6384,f683,f674,f4055]) ).

fof(f6434,plain,
    ~ leq(n0,tptp_minus_1),
    inference(superposition,[],[f901,f835]) ).

fof(f6439,plain,
    ~ spl41_105,
    inference(avatar_split_clause,[],[f6434,f4055]) ).

cnf(s16,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_12
    | spl41_13 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s17,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_11
    | spl41_13 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s18,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_10
    | spl41_13 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s19,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_9
    | spl41_13 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s20,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | ~ spl41_5
    | spl41_13 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s21,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_12
    | spl41_14 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s22,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_11
    | spl41_14 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s23,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_10
    | spl41_14 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s24,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | spl41_9
    | spl41_14 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s25,plain,
    ( ~ spl41_1
    | ~ spl41_2
    | ~ spl41_3
    | ~ spl41_4
    | ~ spl41_5
    | spl41_14 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s26,plain,
    spl41_2,
    inference(sat_conversion,[],[f691]) ).

cnf(s27,plain,
    spl41_1,
    inference(sat_conversion,[],[f692]) ).

cnf(s32,plain,
    spl41_3,
    inference(sat_conversion,[],[f753]) ).

cnf(s33,plain,
    spl41_4,
    inference(sat_conversion,[],[f773]) ).

cnf(s34,plain,
    ( spl41_5
    | ~ spl41_9
    | ~ spl41_10
    | ~ spl41_11
    | ~ spl41_12 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s197,plain,
    ( ~ spl41_13
    | ~ spl41_14
    | spl41_105 ),
    inference(sat_conversion,[],[f6399]) ).

cnf(s201,plain,
    ~ spl41_105,
    inference(sat_conversion,[],[f6439]) ).

cnf(s203,plain,
    ( ~ spl41_13
    | ~ spl41_14 ),
    inference(rat,[],[s197,s201]) ).

cnf(s223,plain,
    ( ~ spl41_5
    | spl41_14 ),
    inference(rat,[],[s25,s33,s32,s26,s27]) ).

cnf(s224,plain,
    ( spl41_9
    | spl41_14 ),
    inference(rat,[],[s24,s33,s32,s26,s27]) ).

cnf(s225,plain,
    ( spl41_10
    | spl41_14 ),
    inference(rat,[],[s23,s33,s32,s26,s27]) ).

cnf(s226,plain,
    ( spl41_11
    | spl41_14 ),
    inference(rat,[],[s22,s33,s32,s26,s27]) ).

cnf(s227,plain,
    ( spl41_12
    | spl41_14 ),
    inference(rat,[],[s21,s33,s32,s26,s27]) ).

cnf(s228,plain,
    ( ~ spl41_5
    | spl41_13 ),
    inference(rat,[],[s20,s33,s32,s26,s27]) ).

cnf(s229,plain,
    ( spl41_9
    | spl41_13 ),
    inference(rat,[],[s19,s33,s32,s26,s27]) ).

cnf(s230,plain,
    ( spl41_10
    | spl41_13 ),
    inference(rat,[],[s18,s33,s32,s26,s27]) ).

cnf(s231,plain,
    ( spl41_11
    | spl41_13 ),
    inference(rat,[],[s17,s33,s32,s26,s27]) ).

cnf(s232,plain,
    ( spl41_12
    | spl41_13 ),
    inference(rat,[],[s16,s33,s32,s26,s27]) ).

cnf(s249,plain,
    spl41_12,
    inference(rat,[],[s203,s232,s227]) ).

cnf(s250,plain,
    spl41_11,
    inference(rat,[],[s203,s231,s226]) ).

cnf(s251,plain,
    spl41_10,
    inference(rat,[],[s203,s230,s225]) ).

cnf(s256,plain,
    spl41_9,
    inference(rat,[],[s203,s229,s224]) ).

cnf(s257,plain,
    spl41_5,
    inference(rat,[],[s34,s249,s250,s251,s256]) ).

cnf(s258,plain,
    spl41_14,
    inference(rat,[],[s223,s257]) ).

cnf(s259,plain,
    spl41_13,
    inference(rat,[],[s228,s257]) ).

cnf(s264,plain,
    $false,
    inference(rat,[],[s203,s258,s259]) ).

fof(f6441,plain,
    $false,
    inference(avatar_sat_refutation,[],[s264]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV114+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n009.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 09:56:35 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.65/0.52  % (2930116)Will run a generic schedule for satisfiability detection.
% 1.65/0.52  % (2930121)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2154253464_2999 on theBenchmark for (2999ds/0Mi)
% 1.65/0.52  % (2930122)% WARNING: option uhcvi not known.
% 1.65/0.52  % (2930122)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3491357786:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.65/0.52  % (2930123)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4233431126:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.65/0.52  % (2930124)dis+10_1_sil=32000:sp=arity:random_seed=3886187675:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.65/0.52  % (2930125)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=801160436:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.65/0.52  % (2930126)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1990797504:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.65/0.52  % (2930127)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=241152834:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.65/0.52  % TRYING [1]
% 1.65/0.52  % TRYING [2]
% 1.65/0.52  % TRYING [3]
% 1.65/0.52  % (2930124)Instruction limit reached! 
% 1.65/0.52  % (2930124)------------------------------
% 1.65/0.52  % (2930124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.52  % (2930124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.52  % (2930124)CaDiCaL version: 2.1.3
% 1.65/0.52  % (2930124)Termination reason: Instruction limit
% 1.65/0.52  % (2930124)Termination phase: Saturation
% 1.65/0.52  % (2930124)Time elapsed: 0.060 s
% 1.65/0.52  % (2930124)Peak memory usage: 13 MB
% 1.65/0.52  % (2930124)Instructions burned: 104 (million)
% 1.65/0.52  % (2930125)Instruction limit reached! 
% 1.65/0.52  % (2930125)------------------------------
% 1.65/0.52  % (2930125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.52  % (2930125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.52  % (2930125)CaDiCaL version: 2.1.3
% 1.65/0.52  % (2930125)Termination reason: Instruction limit
% 1.65/0.52  % (2930125)Termination phase: Saturation
% 1.65/0.52  % (2930125)Time elapsed: 0.065 s
% 1.65/0.52  % (2930125)Peak memory usage: 13 MB
% 1.65/0.52  % (2930125)Instructions burned: 116 (million)
% 1.65/0.52  % (2930126)Instruction limit reached! 
% 1.65/0.52  % (2930126)------------------------------
% 1.65/0.52  % (2930126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.52  % (2930126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.52  % (2930126)CaDiCaL version: 2.1.3
% 1.65/0.52  % (2930126)Termination reason: Instruction limit
% 1.65/0.52  % (2930126)Termination phase: Saturation
% 1.65/0.52  % (2930126)Time elapsed: 0.073 s
% 1.65/0.52  % (2930126)Peak memory usage: 13 MB
% 1.65/0.52  % (2930126)Instructions burned: 131 (million)
% 1.65/0.52  % (2930135)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4191316399:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.65/0.52  % (2930136)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1306698338:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.65/0.52  % TRYING [4]
% 1.65/0.52  % (2930137)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2462172539:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.65/0.52  % TRYING [1]
% 1.65/0.52  % (2930127)Instruction limit reached! 
% 1.65/0.52  % (2930127)------------------------------
% 1.65/0.52  % (2930127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.52  % (2930127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.52  % (2930127)CaDiCaL version: 2.1.3
% 1.65/0.52  % (2930127)Termination reason: Instruction limit
% 1.65/0.52  % (2930127)Termination phase: Saturation
% 1.65/0.52  % (2930127)Time elapsed: 0.099 s
% 1.65/0.52  % (2930127)Peak memory usage: 14 MB
% 1.65/0.52  % (2930127)Instructions burned: 160 (million)
% 1.65/0.52  % TRYING [2]
% 1.65/0.52  % TRYING [3]
% 1.65/0.52  % (2930141)ott-21_1_sil=16000:fs=off:random_seed=616824780:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.65/0.52  % TRYING [4]
% 1.65/0.52  % (2930136)Instruction limit reached! 
% 1.65/0.52  % (2930136)------------------------------
% 1.65/0.52  % (2930136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.52  % (2930136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.52  % (2930136)CaDiCaL version: 2.1.3
% 1.65/0.52  % (2930136)Termination reason: Instruction limit
% 1.65/0.52  % (2930136)Termination phase: Saturation
% 1.65/0.52  % (2930136)Time elapsed: 0.073 s
% 1.65/0.52  % (2930136)Peak memory usage: 13 MB
% 1.65/0.52  % (2930136)Instructions burned: 132 (million)
% 1.65/0.52  % (2930143)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3080854628:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.65/0.52  % (2930141)Instruction limit reached! 
% 1.65/0.52  % (2930141)------------------------------
% 1.65/0.52  % (2930141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.52  % (2930141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.52  % (2930141)CaDiCaL version: 2.1.3
% 1.65/0.52  % (2930141)Termination reason: Instruction limit
% 1.65/0.52  % (2930141)Termination phase: Saturation
% 1.65/0.52  % (2930141)Time elapsed: 0.089 s
% 1.65/0.52  % (2930141)Peak memory usage: 13 MB
% 1.65/0.52  % (2930141)Instructions burned: 180 (million)
% 1.65/0.52  % (2930145)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=972368285:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.65/0.52  % (2930122) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2930116-2930122"...
% 1.65/0.52  % (2930122)...printing done.
% 1.65/0.52  % (2930122)Refutation found. Thanks to Tanya!
% 1.65/0.52  % SZS status Theorem for theBenchmark
% 1.65/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.53  % (2930122)------------------------------
% 1.65/0.53  % (2930122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.53  % (2930122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.53  % (2930122)CaDiCaL version: 2.1.3
% 1.65/0.53  % (2930122)Termination reason: Refutation
% 1.65/0.53  % (2930122)Time elapsed: 0.243 s
% 1.65/0.53  % (2930122)Peak memory usage: 15 MB
% 1.65/0.53  % (2930122)Instructions burned: 406 (million)
% 1.65/0.53  % (2930116)Success in time 0.286 s
% 1.65/0.53  % Vampire exiting
%------------------------------------------------------------------------------