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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM586+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 12:15:52 PM UTC 2026

% Result   : Theorem 2.95s 1.30s
% Output   : Refutation 2.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   41 (   7 unt;   0 def)
%            Number of atoms       :  192 (  47 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  259 ( 108   ~;  98   |;  43   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-3 aty)
%            Number of variables   :   81 (  68   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [X0] :
      ( aSet0(X0)
     => aSubsetOf0(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).

fof(f64,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => aSet0(szDzozmdt0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).

fof(f68,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,szDzozmdt0(X0))
         => ! [X2] :
              ( X2 = sdtlcdtrc0(X0,X1)
            <=> ( aSet0(X2)
                & ! [X3] :
                    ( aElementOf0(X3,X2)
                  <=> ? [X4] :
                        ( aElementOf0(X4,X1)
                        & sdtlpdtrp0(X0,X4) = X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).

fof(f86,axiom,
    ( aFunction0(xC)
    & szDzozmdt0(xC) = szNzAzT0
    & ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( aFunction0(sdtlpdtrp0(xC,X0))
          & szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
          & ! [X1] :
              ( ( aSet0(X1)
                & aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) )
             => sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).

fof(f87,axiom,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200) ).

fof(f88,axiom,
    aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200_02) ).

fof(f89,conjecture,
    ? [X0] :
      ( aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
      & sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = xx ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f90,negated_conjecture,
    ~ ? [X0] :
        ( aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
        & sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = xx ),
    inference(negated_conjecture,[status(cth)],[f89]) ).

fof(f109,plain,
    ( aFunction0(xC)
    & szDzozmdt0(xC) = szNzAzT0
    & ! [X0] :
        ( ( aFunction0(sdtlpdtrp0(xC,X0))
          & szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
          & ! [X1] :
              ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aSet0(X1)
              | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f110,plain,
    ( aFunction0(xC)
    & szDzozmdt0(xC) = szNzAzT0
    & ! [X0] :
        ( ( aFunction0(sdtlpdtrp0(xC,X0))
          & szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
          & ! [X1] :
              ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aSet0(X1)
              | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(flattening,[],[f109]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
      | xx != sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f120,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f123,plain,
    ! [X0] :
      ( aSet0(szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X2 = sdtlcdtrc0(X0,X1)
            <=> ( aSet0(X2)
                & ! [X3] :
                    ( aElementOf0(X3,X2)
                  <=> ? [X4] :
                        ( aElementOf0(X4,X1)
                        & sdtlpdtrp0(X0,X4) = X3 ) ) ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f206,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( X2 = sdtlcdtrc0(X0,X1)
                | ~ aSet0(X2)
                | ? [X3] :
                    ( ( ! [X4] :
                          ( ~ aElementOf0(X4,X1)
                          | sdtlpdtrp0(X0,X4) != X3 )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X4] :
                          ( aElementOf0(X4,X1)
                          & sdtlpdtrp0(X0,X4) = X3 )
                      | aElementOf0(X3,X2) ) ) )
              & ( ( aSet0(X2)
                  & ! [X3] :
                      ( ( aElementOf0(X3,X2)
                        | ! [X4] :
                            ( ~ aElementOf0(X4,X1)
                            | sdtlpdtrp0(X0,X4) != X3 ) )
                      & ( ? [X4] :
                            ( aElementOf0(X4,X1)
                            & sdtlpdtrp0(X0,X4) = X3 )
                        | ~ aElementOf0(X3,X2) ) ) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(nnf_transformation,[],[f133]) ).

fof(f207,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( X2 = sdtlcdtrc0(X0,X1)
                | ~ aSet0(X2)
                | ? [X3] :
                    ( ( ! [X4] :
                          ( ~ aElementOf0(X4,X1)
                          | sdtlpdtrp0(X0,X4) != X3 )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X4] :
                          ( aElementOf0(X4,X1)
                          & sdtlpdtrp0(X0,X4) = X3 )
                      | aElementOf0(X3,X2) ) ) )
              & ( ( aSet0(X2)
                  & ! [X3] :
                      ( ( aElementOf0(X3,X2)
                        | ! [X4] :
                            ( ~ aElementOf0(X4,X1)
                            | sdtlpdtrp0(X0,X4) != X3 ) )
                      & ( ? [X4] :
                            ( aElementOf0(X4,X1)
                            & sdtlpdtrp0(X0,X4) = X3 )
                        | ~ aElementOf0(X3,X2) ) ) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(flattening,[],[f206]) ).

fof(f208,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( X2 = sdtlcdtrc0(X0,X1)
                | ~ aSet0(X2)
                | ? [X3] :
                    ( ( ! [X4] :
                          ( ~ aElementOf0(X4,X1)
                          | sdtlpdtrp0(X0,X4) != X3 )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X5] :
                          ( aElementOf0(X5,X1)
                          & sdtlpdtrp0(X0,X5) = X3 )
                      | aElementOf0(X3,X2) ) ) )
              & ( ( aSet0(X2)
                  & ! [X6] :
                      ( ( aElementOf0(X6,X2)
                        | ! [X7] :
                            ( ~ aElementOf0(X7,X1)
                            | sdtlpdtrp0(X0,X7) != X6 ) )
                      & ( ? [X8] :
                            ( aElementOf0(X8,X1)
                            & sdtlpdtrp0(X0,X8) = X6 )
                        | ~ aElementOf0(X6,X2) ) ) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(rectify,[],[f207]) ).

fof(f209,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( X2 = sdtlcdtrc0(X0,X1)
                | ~ aSet0(X2)
                | ( ( ! [X4] :
                        ( ~ aElementOf0(X4,X1)
                        | sdtlpdtrp0(X0,X4) != sK10(X0,X1,X2) )
                    | ~ aElementOf0(sK10(X0,X1,X2),X2) )
                  & ( ( aElementOf0(sK11(X0,X1,X2),X1)
                      & sK10(X0,X1,X2) = sdtlpdtrp0(X0,sK11(X0,X1,X2)) )
                    | aElementOf0(sK10(X0,X1,X2),X2) ) ) )
              & ( ( aSet0(X2)
                  & ! [X6] :
                      ( ( aElementOf0(X6,X2)
                        | ! [X7] :
                            ( ~ aElementOf0(X7,X1)
                            | sdtlpdtrp0(X0,X7) != X6 ) )
                      & ( ( aElementOf0(sK12(X0,X1,X6),X1)
                          & sdtlpdtrp0(X0,sK12(X0,X1,X6)) = X6 )
                        | ~ aElementOf0(X6,X2) ) ) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X3,sK10(X0,X1,X2)),skolemize(X5,sK11(X0,X1,X2)),skolemize(X8,sK12(X0,X1,X6))],[f208]) ).

fof(f266,plain,
    ! [X0] :
      ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f267,plain,
    ! [X0] :
      ( aFunction0(sdtlpdtrp0(xC,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f270,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f87]) ).

fof(f271,plain,
    aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
    inference(cnf_transformation,[],[f88]) ).

fof(f272,plain,
    ! [X0] :
      ( xx != sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
      | ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f279,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f285,plain,
    ! [X0] :
      ( aSet0(szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f296,plain,
    ! [X2,X0,X1,X6] :
      ( sdtlpdtrp0(X0,sK12(X0,X1,X6)) = X6
      | ~ aElementOf0(X6,X2)
      | sdtlcdtrc0(X0,X1) != X2
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f297,plain,
    ! [X2,X0,X1,X6] :
      ( aElementOf0(sK12(X0,X1,X6),X1)
      | ~ aElementOf0(X6,X2)
      | sdtlcdtrc0(X0,X1) != X2
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f383,plain,
    ! [X0,X1,X6] :
      ( aElementOf0(sK12(X0,X1,X6),X1)
      | ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f297]) ).

fof(f384,plain,
    ! [X0,X1,X6] :
      ( sdtlpdtrp0(X0,sK12(X0,X1,X6)) = X6
      | ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f296]) ).

fof(f1299,plain,
    ! [X0,X1] :
      ( xx != X0
      | ~ aElementOf0(sK12(sdtlpdtrp0(xC,xi),X1,X0),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
      | ~ aElementOf0(X0,sdtlcdtrc0(sdtlpdtrp0(xC,xi),X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi)))
      | ~ aFunction0(sdtlpdtrp0(xC,xi)) ),
    inference(superposition,[],[f272,f384]) ).

fof(f1351,plain,
    ! [X0] :
      ( ~ aElementOf0(sK12(sdtlpdtrp0(xC,xi),X0,xx),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
      | ~ aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),X0))
      | ~ aSubsetOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xi)))
      | ~ aFunction0(sdtlpdtrp0(xC,xi)) ),
    inference(equality_resolution,[],[f1299]) ).

fof(f1355,plain,
    ! [X0] :
      ( ~ aElementOf0(sK12(sdtlpdtrp0(xC,xi),X0,xx),szDzozmdt0(sdtlpdtrp0(xC,xi)))
      | ~ aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),X0))
      | ~ aSubsetOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xi)))
      | ~ aFunction0(sdtlpdtrp0(xC,xi))
      | ~ aElementOf0(xi,szNzAzT0) ),
    inference(superposition,[],[f1351,f266]) ).

fof(f1357,plain,
    ! [X0] :
      ( ~ aElementOf0(sK12(sdtlpdtrp0(xC,xi),X0,xx),szDzozmdt0(sdtlpdtrp0(xC,xi)))
      | ~ aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),X0))
      | ~ aSubsetOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xi)))
      | ~ aElementOf0(xi,szNzAzT0) ),
    inference(forward_subsumption_resolution,[],[f1355,f267]) ).

fof(f1358,plain,
    ! [X0] :
      ( ~ aElementOf0(sK12(sdtlpdtrp0(xC,xi),X0,xx),szDzozmdt0(sdtlpdtrp0(xC,xi)))
      | ~ aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),X0))
      | ~ aSubsetOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xi))) ),
    inference(forward_subsumption_resolution,[],[f1357,f270]) ).

fof(f1365,plain,
    ( ~ aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))))
    | ~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(sdtlpdtrp0(xC,xi)))
    | ~ aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))))
    | ~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(sdtlpdtrp0(xC,xi)))
    | ~ aFunction0(sdtlpdtrp0(xC,xi)) ),
    inference(resolution,[],[f1358,f383]) ).

fof(f1367,plain,
    ( ~ aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))))
    | ~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(sdtlpdtrp0(xC,xi)))
    | ~ aFunction0(sdtlpdtrp0(xC,xi)) ),
    inference(duplicate_literal_removal,[],[f1365]) ).

fof(f1368,plain,
    ( ~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(sdtlpdtrp0(xC,xi)))
    | ~ aFunction0(sdtlpdtrp0(xC,xi)) ),
    inference(forward_subsumption_resolution,[],[f1367,f271]) ).

fof(f1426,plain,
    ( ~ aFunction0(sdtlpdtrp0(xC,xi))
    | ~ aSet0(szDzozmdt0(sdtlpdtrp0(xC,xi))) ),
    inference(resolution,[],[f1368,f279]) ).

fof(f1429,plain,
    ~ aFunction0(sdtlpdtrp0(xC,xi)),
    inference(forward_subsumption_resolution,[],[f1426,f285]) ).

fof(f1430,plain,
    ~ aElementOf0(xi,szNzAzT0),
    inference(resolution,[],[f1429,f267]) ).

fof(f1431,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1430,f270]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM586+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37  % Computer : n013.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 27 20:36:22 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.95/1.30  % (529010)Detected formulas, will run a generic FOF schedule.
% 2.95/1.30  % (529015)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1748815354:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.95/1.30  % (529018)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=669498976:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.95/1.30  % (529021)dis-21_1_sil=8000:lcm=predicate:random_seed=2256365734:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.95/1.30  % (529019)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1027168906:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.95/1.30  % (529020)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1887824446:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.95/1.30  % (529017)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3103598116:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.95/1.30  % (529016)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=923557212:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.95/1.30  % (529019)First to succeed.
% 2.95/1.30  % (529019)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-529010"
% 2.95/1.30  % (529021)Instruction limit reached! 
% 2.95/1.30  % (529021)------------------------------
% 2.95/1.30  % (529021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.30  % (529021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.30  % (529021)CaDiCaL version: 2.1.3
% 2.95/1.30  % (529021)Termination reason: Instruction limit
% 2.95/1.30  % (529021)Termination phase: Saturation
% 2.95/1.30  % (529021)Time elapsed: 0.063 s
% 2.95/1.30  % (529021)Peak memory usage: 89 MB
% 2.95/1.30  % (529021)Instructions burned: 130 (million)
% 2.95/1.30  % (529018)Instruction limit reached! 
% 2.95/1.30  % (529018)------------------------------
% 2.95/1.30  % (529018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.30  % (529018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.30  % (529018)CaDiCaL version: 2.1.3
% 2.95/1.30  % (529018)Termination reason: Instruction limit
% 2.95/1.30  % (529018)Termination phase: Saturation
% 2.95/1.30  % (529018)Time elapsed: 0.068 s
% 2.95/1.30  % (529018)Peak memory usage: 89 MB
% 2.95/1.30  % (529018)Instructions burned: 109 (million)
% 2.95/1.30  % (529020)Instruction limit reached! 
% 2.95/1.30  % (529020)------------------------------
% 2.95/1.30  % (529020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.30  % (529020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.30  % (529020)CaDiCaL version: 2.1.3
% 2.95/1.30  % (529020)Termination reason: Instruction limit
% 2.95/1.30  % (529020)Termination phase: Saturation
% 2.95/1.30  % (529020)Time elapsed: 0.101 s
% 2.95/1.30  % (529020)Peak memory usage: 90 MB
% 2.95/1.30  % (529020)Instructions burned: 139 (million)
% 2.95/1.30  % (529030)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3996014041:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.95/1.30  % (529029)lrs+10_1_sil=8000:sp=occurrence:random_seed=1785318632:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.95/1.30  % (529030)Refutation not found, incomplete strategy
% 2.95/1.30  % (529030)------------------------------
% 2.95/1.30  % (529030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.30  % (529030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.30  % (529030)CaDiCaL version: 2.1.3
% 2.95/1.30  % (529030)Termination reason: Refutation not found, incomplete strategy
% 2.95/1.30  % (529030)Time elapsed: 0.007 s
% 2.95/1.30  % (529030)Peak memory usage: 89 MB
% 2.95/1.30  % (529030)Instructions burned: 8 (million)
% 2.95/1.30  % (529031)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2138694859:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.95/1.30  % (529019)Refutation found. Thanks to Tanya!
% 2.95/1.30  % SZS status Theorem for theBenchmark
% 2.95/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 2.95/1.39  % (529019)------------------------------
% 2.95/1.39  % (529019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.39  % (529019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.39  % (529019)CaDiCaL version: 2.1.3
% 2.95/1.39  % (529019)Termination reason: Refutation
% 2.95/1.39  % (529019)Time elapsed: 0.033 s
% 2.95/1.39  % (529019)Peak memory usage: 89 MB
% 2.95/1.39  % (529019)Instructions burned: 49 (million)
% 2.95/1.39  % (529019)------------------------------
% 2.95/1.39  % (529019)------------------------------
% 2.95/1.39  % (529010)Success in time 0.449 s
% 2.95/1.39  % Vampire exiting
%------------------------------------------------------------------------------