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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU437+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 12:49:03 PM UTC 2026

% Result   : Theorem 19.88s 3.96s
% Output   : Refutation 21.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   66 (  30 unt;   0 def)
%            Number of atoms       :  139 (  39 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  123 (  50   ~;  43   |;  15   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-4 aty)
%            Number of variables   :  114 ( 104   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f57,axiom,
    ! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( r1_tarski(X0,X1)
     => k3_xboole_0(X0,X1) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_xboole_1) ).

fof(f105,axiom,
    ! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_xboole_1) ).

fof(f117,axiom,
    ! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).

fof(f437,axiom,
    ! [X0,X1,X2] :
      ( ( m1_subset_1(X1,k1_zfmisc_1(X0))
        & m1_subset_1(X2,k1_zfmisc_1(X0)) )
     => k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).

fof(f4465,axiom,
    ! [X0,X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X0))
        & m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
     => m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).

fof(f4466,axiom,
    ! [X0,X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X0))
        & m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
     => k8_relset_2(X0,X1,X2,X3) = k7_relset_2(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_relset_2) ).

fof(f4506,axiom,
    ! [X0,X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X0))
     => ! [X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
         => ! [X4] :
              ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
             => k8_relset_2(X0,X1,X2,k5_subset_1(k2_zfmisc_1(X0,X1),X3,X4)) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_relset_2) ).

fof(f4512,conjecture,
    ! [X0,X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X0))
     => ! [X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
         => ! [X4] :
              ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
             => ( r1_tarski(X3,X4)
               => r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_relset_2) ).

fof(f4513,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( m1_subset_1(X2,k1_zfmisc_1(X0))
       => ! [X3] :
            ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
           => ! [X4] :
                ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
               => ( r1_tarski(X3,X4)
                 => r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f4512]) ).

fof(f4549,plain,
    ! [X0,X1,X2,X3] :
      ( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
    inference(ennf_transformation,[],[f4465]) ).

fof(f4550,plain,
    ! [X0,X1,X2,X3] :
      ( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
    inference(flattening,[],[f4549]) ).

fof(f4551,plain,
    ! [X0,X1,X2,X3] :
      ( k8_relset_2(X0,X1,X2,X3) = k7_relset_2(X0,X1,X2,X3)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
    inference(ennf_transformation,[],[f4466]) ).

fof(f4552,plain,
    ! [X0,X1,X2,X3] :
      ( k8_relset_2(X0,X1,X2,X3) = k7_relset_2(X0,X1,X2,X3)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
    inference(flattening,[],[f4551]) ).

fof(f4595,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ! [X4] :
              ( k8_relset_2(X0,X1,X2,k5_subset_1(k2_zfmisc_1(X0,X1),X3,X4)) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
              | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
          | ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(ennf_transformation,[],[f4506]) ).

fof(f4604,plain,
    ? [X0,X1,X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
              & r1_tarski(X3,X4)
              & m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
          & m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
      & m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(ennf_transformation,[],[f4513]) ).

fof(f4605,plain,
    ? [X0,X1,X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
              & r1_tarski(X3,X4)
              & m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
          & m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
      & m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(flattening,[],[f4604]) ).

fof(f4644,plain,
    ! [X0,X1] :
      ( k3_xboole_0(X0,X1) = X0
      | ~ r1_tarski(X0,X1) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f4907,plain,
    ! [X0,X1,X2] :
      ( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(ennf_transformation,[],[f437]) ).

fof(f4908,plain,
    ! [X0,X1,X2] :
      ( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(flattening,[],[f4907]) ).

fof(f6207,plain,
    ( ~ r1_tarski(k8_relset_2(sK8,sK9,sK10,sK11),k8_relset_2(sK8,sK9,sK10,sK12))
    & r1_tarski(sK11,sK12)
    & m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
    & m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
    & m1_subset_1(sK10,k1_zfmisc_1(sK8)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10),skolemize(X3,sK11),skolemize(X4,sK12)],[f4605]) ).

fof(f6737,plain,
    ! [X2,X3,X0,X1] :
      ( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
    inference(cnf_transformation,[],[f4550]) ).

fof(f6738,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | k8_relset_2(X0,X1,X2,X3) = k7_relset_2(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f4552]) ).

fof(f6793,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
      | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
      | k8_relset_2(X0,X1,X2,k5_subset_1(k2_zfmisc_1(X0,X1),X3,X4)) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(cnf_transformation,[],[f4595]) ).

fof(f6799,plain,
    m1_subset_1(sK10,k1_zfmisc_1(sK8)),
    inference(cnf_transformation,[],[f6207]) ).

fof(f6800,plain,
    m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9))),
    inference(cnf_transformation,[],[f6207]) ).

fof(f6801,plain,
    m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9))),
    inference(cnf_transformation,[],[f6207]) ).

fof(f6802,plain,
    r1_tarski(sK11,sK12),
    inference(cnf_transformation,[],[f6207]) ).

fof(f6803,plain,
    ~ r1_tarski(k8_relset_2(sK8,sK9,sK10,sK11),k8_relset_2(sK8,sK9,sK10,sK12)),
    inference(cnf_transformation,[],[f6207]) ).

fof(f6866,plain,
    ! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
    inference(cnf_transformation,[],[f117]) ).

fof(f6868,plain,
    ! [X0,X1] :
      ( k3_xboole_0(X0,X1) = X0
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f4644]) ).

fof(f6880,plain,
    ! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
    inference(cnf_transformation,[],[f57]) ).

fof(f7234,plain,
    ! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
    inference(cnf_transformation,[],[f105]) ).

fof(f7259,plain,
    ! [X2,X0,X1] :
      ( k3_xboole_0(X1,X2) = k5_subset_1(X0,X1,X2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(cnf_transformation,[],[f4908]) ).

fof(f9015,plain,
    ! [X0,X1] :
      ( ~ r1_tarski(X0,X1)
      | k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0 ),
    inference(definition_unfolding,[],[f6868,f6866]) ).

fof(f9027,plain,
    ! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
    inference(definition_unfolding,[],[f6880,f6866,f6866]) ).

fof(f9210,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | k5_subset_1(X0,X1,X2) = k4_xboole_0(X1,k4_xboole_0(X1,X2)) ),
    inference(definition_unfolding,[],[f7259,f6866]) ).

fof(f10540,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(sK8))
      | k8_relset_2(sK8,sK9,X0,sK11) = k7_relset_2(sK8,sK9,X0,sK11) ),
    inference(resolution,[],[f6738,f6800]) ).

fof(f10541,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(sK8))
      | k8_relset_2(sK8,sK9,X0,sK12) = k7_relset_2(sK8,sK9,X0,sK12) ),
    inference(resolution,[],[f6738,f6801]) ).

fof(f10549,plain,
    k8_relset_2(sK8,sK9,sK10,sK12) = k7_relset_2(sK8,sK9,sK10,sK12),
    inference(resolution,[],[f10541,f6799]) ).

fof(f10553,plain,
    ( m1_subset_1(k7_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9))
    | ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
    | ~ m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9))) ),
    inference(superposition,[],[f6737,f10549]) ).

fof(f10554,plain,
    ( m1_subset_1(k7_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9))
    | ~ m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9))) ),
    inference(forward_subsumption_resolution,[],[f10553,f6799]) ).

fof(f10557,plain,
    m1_subset_1(k7_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9)),
    inference(forward_subsumption_resolution,[],[f10554,f6801]) ).

fof(f10562,plain,
    k8_relset_2(sK8,sK9,sK10,sK11) = k7_relset_2(sK8,sK9,sK10,sK11),
    inference(resolution,[],[f10540,f6799]) ).

fof(f10563,plain,
    ~ r1_tarski(k7_relset_2(sK8,sK9,sK10,sK11),k8_relset_2(sK8,sK9,sK10,sK12)),
    inference(superposition,[],[f6803,f10562]) ).

fof(f10566,plain,
    ( m1_subset_1(k7_relset_2(sK8,sK9,sK10,sK11),k1_zfmisc_1(sK9))
    | ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
    | ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9))) ),
    inference(superposition,[],[f6737,f10562]) ).

fof(f10567,plain,
    ( m1_subset_1(k7_relset_2(sK8,sK9,sK10,sK11),k1_zfmisc_1(sK9))
    | ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9))) ),
    inference(forward_subsumption_resolution,[],[f10566,f6799]) ).

fof(f10570,plain,
    ~ r1_tarski(k7_relset_2(sK8,sK9,sK10,sK11),k7_relset_2(sK8,sK9,sK10,sK12)),
    inference(forward_demodulation,[],[f10563,f10549]) ).

fof(f10571,plain,
    m1_subset_1(k7_relset_2(sK8,sK9,sK10,sK11),k1_zfmisc_1(sK9)),
    inference(forward_subsumption_resolution,[],[f10567,f6800]) ).

fof(f10634,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(sK8))
      | k8_relset_2(sK8,sK9,X1,k5_subset_1(k2_zfmisc_1(sK8,sK9),sK11,X0)) = k5_subset_1(sK9,k8_relset_2(sK8,sK9,X1,sK11),k8_relset_2(sK8,sK9,X1,X0))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9))) ),
    inference(resolution,[],[f6793,f6800]) ).

fof(f10650,plain,
    ! [X0] :
      ( k8_relset_2(sK8,sK9,sK10,k5_subset_1(k2_zfmisc_1(sK8,sK9),sK11,X0)) = k5_subset_1(sK9,k8_relset_2(sK8,sK9,sK10,sK11),k8_relset_2(sK8,sK9,sK10,X0))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9))) ),
    inference(resolution,[],[f10634,f6799]) ).

fof(f10651,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
      | k8_relset_2(sK8,sK9,sK10,k5_subset_1(k2_zfmisc_1(sK8,sK9),sK11,X0)) = k5_subset_1(sK9,k7_relset_2(sK8,sK9,sK10,sK11),k8_relset_2(sK8,sK9,sK10,X0)) ),
    inference(forward_demodulation,[],[f10650,f10562]) ).

fof(f10708,plain,
    k8_relset_2(sK8,sK9,sK10,k5_subset_1(k2_zfmisc_1(sK8,sK9),sK11,sK12)) = k5_subset_1(sK9,k7_relset_2(sK8,sK9,sK10,sK11),k8_relset_2(sK8,sK9,sK10,sK12)),
    inference(resolution,[],[f10651,f6801]) ).

fof(f10709,plain,
    k8_relset_2(sK8,sK9,sK10,k5_subset_1(k2_zfmisc_1(sK8,sK9),sK11,sK12)) = k5_subset_1(sK9,k7_relset_2(sK8,sK9,sK10,sK11),k7_relset_2(sK8,sK9,sK10,sK12)),
    inference(forward_demodulation,[],[f10708,f10549]) ).

fof(f10879,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(sK9))
      | k5_subset_1(sK9,X0,k7_relset_2(sK8,sK9,sK10,sK12)) = k4_xboole_0(X0,k4_xboole_0(X0,k7_relset_2(sK8,sK9,sK10,sK12))) ),
    inference(resolution,[],[f9210,f10557]) ).

fof(f10884,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
      | k5_subset_1(k2_zfmisc_1(sK8,sK9),X0,sK12) = k4_xboole_0(X0,k4_xboole_0(X0,sK12)) ),
    inference(resolution,[],[f9210,f6801]) ).

fof(f10906,plain,
    k5_subset_1(k2_zfmisc_1(sK8,sK9),sK11,sK12) = k4_xboole_0(sK11,k4_xboole_0(sK11,sK12)),
    inference(resolution,[],[f10884,f6800]) ).

fof(f11089,plain,
    ! [X0,X1] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1),
    inference(superposition,[],[f7234,f9027]) ).

fof(f11131,plain,
    sK11 = k4_xboole_0(sK11,k4_xboole_0(sK11,sK12)),
    inference(resolution,[],[f9015,f6802]) ).

fof(f13251,plain,
    k5_subset_1(sK9,k7_relset_2(sK8,sK9,sK10,sK11),k7_relset_2(sK8,sK9,sK10,sK12)) = k4_xboole_0(k7_relset_2(sK8,sK9,sK10,sK11),k4_xboole_0(k7_relset_2(sK8,sK9,sK10,sK11),k7_relset_2(sK8,sK9,sK10,sK12))),
    inference(resolution,[],[f10879,f10571]) ).

fof(f13252,plain,
    k8_relset_2(sK8,sK9,sK10,k5_subset_1(k2_zfmisc_1(sK8,sK9),sK11,sK12)) = k4_xboole_0(k7_relset_2(sK8,sK9,sK10,sK11),k4_xboole_0(k7_relset_2(sK8,sK9,sK10,sK11),k7_relset_2(sK8,sK9,sK10,sK12))),
    inference(forward_demodulation,[],[f13251,f10709]) ).

fof(f13257,plain,
    k4_xboole_0(k7_relset_2(sK8,sK9,sK10,sK11),k4_xboole_0(k7_relset_2(sK8,sK9,sK10,sK11),k7_relset_2(sK8,sK9,sK10,sK12))) = k8_relset_2(sK8,sK9,sK10,k4_xboole_0(sK11,k4_xboole_0(sK11,sK12))),
    inference(forward_demodulation,[],[f13252,f10906]) ).

fof(f13259,plain,
    k8_relset_2(sK8,sK9,sK10,sK11) = k4_xboole_0(k7_relset_2(sK8,sK9,sK10,sK11),k4_xboole_0(k7_relset_2(sK8,sK9,sK10,sK11),k7_relset_2(sK8,sK9,sK10,sK12))),
    inference(forward_demodulation,[],[f13257,f11131]) ).

fof(f13260,plain,
    k7_relset_2(sK8,sK9,sK10,sK11) = k4_xboole_0(k7_relset_2(sK8,sK9,sK10,sK11),k4_xboole_0(k7_relset_2(sK8,sK9,sK10,sK11),k7_relset_2(sK8,sK9,sK10,sK12))),
    inference(forward_demodulation,[],[f13259,f10562]) ).

fof(f21530,plain,
    r1_tarski(k7_relset_2(sK8,sK9,sK10,sK11),k7_relset_2(sK8,sK9,sK10,sK12)),
    inference(superposition,[],[f11089,f13260]) ).

fof(f21535,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f21530,f10570]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU437+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n006.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 05:27:56 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 11.56/2.73  % (3664761)Detected formulas, will run a generic FOF schedule.
% 11.56/2.73  % (3664769)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=119815259:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 11.56/2.73  % (3664766)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=3170927146:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 11.56/2.73  % (3664768)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=138246006:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 11.56/2.73  % (3664767)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=4234695664:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 11.56/2.73  % (3664769)Instruction limit reached! 
% 11.56/2.73  % (3664769)------------------------------
% 11.56/2.73  % (3664769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.73  % (3664769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.73  % (3664769)CaDiCaL version: 2.1.3
% 11.56/2.73  % (3664769)Termination reason: Instruction limit
% 11.56/2.73  % (3664769)Termination phase: Saturation
% 11.56/2.73  % (3664769)Time elapsed: 0.045 s
% 11.56/2.73  % (3664769)Peak memory usage: 94 MB
% 11.56/2.73  % (3664769)Instructions burned: 111 (million)
% 11.56/2.73  % (3664772)dis-21_1_sil=8000:lcm=predicate:random_seed=3239666408:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 11.56/2.73  % (3664770)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4086605391:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 11.56/2.73  % (3664771)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=978607496:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 11.56/2.73  % (3664770)Instruction limit reached! 
% 11.56/2.73  % (3664770)------------------------------
% 11.56/2.73  % (3664770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.73  % (3664770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.73  % (3664770)CaDiCaL version: 2.1.3
% 11.56/2.73  % (3664770)Termination reason: Instruction limit
% 11.56/2.73  % (3664770)Termination phase: Saturation
% 11.56/2.73  % (3664770)Time elapsed: 0.077 s
% 11.56/2.73  % (3664770)Peak memory usage: 94 MB
% 11.56/2.73  % (3664770)Instructions burned: 120 (million)
% 11.56/2.73  % (3664771)Instruction limit reached! 
% 11.56/2.73  % (3664771)------------------------------
% 11.56/2.73  % (3664771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.73  % (3664771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.73  % (3664771)CaDiCaL version: 2.1.3
% 11.56/2.73  % (3664771)Termination reason: Instruction limit
% 11.56/2.73  % (3664771)Termination phase: Preprocessing 3
% 11.56/2.73  % (3664771)Time elapsed: 0.089 s
% 11.56/2.73  % (3664771)Peak memory usage: 94 MB
% 11.56/2.73  % (3664771)Instructions burned: 139 (million)
% 11.56/2.73  % (3664772)Instruction limit reached! 
% 11.56/2.73  % (3664772)------------------------------
% 11.56/2.73  % (3664772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.73  % (3664772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.73  % (3664772)CaDiCaL version: 2.1.3
% 11.56/2.73  % (3664772)Termination reason: Instruction limit
% 11.56/2.73  % (3664772)Termination phase: Clausification
% 11.56/2.73  % (3664772)Time elapsed: 0.090 s
% 11.56/2.73  % (3664772)Peak memory usage: 95 MB
% 11.56/2.73  % (3664772)Instructions burned: 129 (million)
% 11.56/2.73  % (3664780)lrs+10_1_sil=8000:sp=occurrence:random_seed=2222881657:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 11.56/2.73  % (3664781)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2426930912:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 11.56/2.73  % (3664782)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3817916978:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.56/2.73  % (3664783)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3202350486:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.56/2.73  % (3664781)Instruction limit reached! 
% 17.67/3.57  % (3664781)------------------------------
% 17.67/3.57  % (3664781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.67/3.57  % (3664781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/3.57  % (3664781)CaDiCaL version: 2.1.3
% 17.67/3.57  % (3664781)Termination reason: Instruction limit
% 17.67/3.57  % (3664781)Termination phase: Saturation
% 17.67/3.57  % (3664781)Time elapsed: 0.087 s
% 17.67/3.57  % (3664781)Peak memory usage: 94 MB
% 17.67/3.57  % (3664781)Instructions burned: 157 (million)
% 17.67/3.57  % (3664780)Instruction limit reached! 
% 17.67/3.57  % (3664780)------------------------------
% 17.67/3.57  % (3664780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.67/3.57  % (3664780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/3.57  % (3664780)CaDiCaL version: 2.1.3
% 17.67/3.57  % (3664780)Termination reason: Instruction limit
% 17.67/3.57  % (3664780)Termination phase: Saturation
% 17.67/3.57  % (3664780)Time elapsed: 0.191 s
% 17.67/3.57  % (3664780)Peak memory usage: 98 MB
% 17.67/3.57  % (3664780)Instructions burned: 286 (million)
% 17.67/3.57  % (3664783)Instruction limit reached! 
% 17.67/3.57  % (3664783)------------------------------
% 17.67/3.57  % (3664783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.67/3.57  % (3664783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/3.57  % (3664783)CaDiCaL version: 2.1.3
% 17.67/3.57  % (3664783)Termination reason: Instruction limit
% 17.67/3.57  % (3664783)Termination phase: Property scanning
% 17.67/3.57  % (3664783)Time elapsed: 0.139 s
% 17.67/3.57  % (3664783)Peak memory usage: 98 MB
% 17.67/3.57  % (3664783)Instructions burned: 248 (million)
% 17.67/3.57  % (3664788)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2293578759:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 17.67/3.57  % (3664782)Instruction limit reached! 
% 17.67/3.57  % (3664782)------------------------------
% 17.67/3.57  % (3664782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.67/3.57  % (3664782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/3.57  % (3664782)CaDiCaL version: 2.1.3
% 17.67/3.57  % (3664782)Termination reason: Instruction limit
% 17.67/3.57  % (3664782)Termination phase: Saturation
% 17.67/3.57  % (3664782)Time elapsed: 0.217 s
% 17.67/3.57  % (3664782)Peak memory usage: 96 MB
% 17.67/3.57  % (3664782)Instructions burned: 326 (million)
% 17.67/3.57  % (3664789)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3288395193:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 17.67/3.57  % (3664790)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1743512369:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 17.67/3.57  % (3664792)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=726705232:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 17.67/3.57  % (3664790)Instruction limit reached! 
% 17.67/3.57  % (3664790)------------------------------
% 17.67/3.57  % (3664790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.67/3.57  % (3664790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/3.57  % (3664790)CaDiCaL version: 2.1.3
% 17.67/3.57  % (3664790)Termination reason: Instruction limit
% 17.67/3.57  % (3664790)Termination phase: Saturation
% 17.67/3.57  % (3664790)Time elapsed: 0.072 s
% 17.67/3.57  % (3664790)Peak memory usage: 95 MB
% 17.67/3.57  % (3664790)Instructions burned: 113 (million)
% 17.67/3.57  % (3664792)Instruction limit reached! 
% 17.67/3.57  % (3664792)------------------------------
% 17.67/3.57  % (3664792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.67/3.57  % (3664792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/3.57  % (3664792)CaDiCaL version: 2.1.3
% 17.67/3.57  % (3664792)Termination reason: Instruction limit
% 17.67/3.57  % (3664792)Termination phase: Preprocessing 3
% 17.67/3.57  % (3664792)Time elapsed: 0.049 s
% 17.67/3.57  % (3664792)Peak memory usage: 97 MB
% 17.67/3.57  % (3664792)Instructions burned: 130 (million)
% 17.67/3.57  % (3664788)Instruction limit reached! 
% 17.67/3.57  % (3664788)------------------------------
% 17.67/3.57  % (3664788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.67/3.57  % (3664788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/3.57  % (3664788)CaDiCaL version: 2.1.3
% 17.67/3.57  % (3664788)Termination reason: Instruction limit
% 19.88/3.96  % (3664788)Termination phase: Saturation
% 19.88/3.96  % (3664788)Time elapsed: 0.180 s
% 19.88/3.96  % (3664788)Peak memory usage: 97 MB
% 19.88/3.96  % (3664788)Instructions burned: 295 (million)
% 19.88/3.96  % (3664797)lrs+10_1_sil=8000:sp=occurrence:random_seed=182768900:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 19.88/3.96  % (3664796)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1915286651:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 19.88/3.96  % (3664798)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2031419518:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 19.88/3.96  % (3664796)Instruction limit reached! 
% 19.88/3.96  % (3664796)------------------------------
% 19.88/3.96  % (3664796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.96  % (3664796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.96  % (3664796)CaDiCaL version: 2.1.3
% 19.88/3.96  % (3664796)Termination reason: Instruction limit
% 19.88/3.96  % (3664796)Termination phase: SInE selection
% 19.88/3.96  % (3664796)Time elapsed: 0.054 s
% 19.88/3.96  % (3664796)Peak memory usage: 89 MB
% 19.88/3.96  % (3664796)Instructions burned: 114 (million)
% 19.88/3.96  % (3664802)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2255374507:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 19.88/3.96  % (3664798)Instruction limit reached! 
% 19.88/3.96  % (3664798)------------------------------
% 19.88/3.96  % (3664798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.96  % (3664798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.96  % (3664798)CaDiCaL version: 2.1.3
% 19.88/3.96  % (3664798)Termination reason: Instruction limit
% 19.88/3.96  % (3664798)Termination phase: Saturation
% 19.88/3.96  % (3664798)Time elapsed: 0.288 s
% 19.88/3.96  % (3664798)Peak memory usage: 98 MB
% 19.88/3.96  % (3664798)Instructions burned: 437 (million)
% 19.88/3.96  % (3664797)Instruction limit reached! 
% 19.88/3.96  % (3664797)------------------------------
% 19.88/3.96  % (3664797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.96  % (3664797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.96  % (3664797)CaDiCaL version: 2.1.3
% 19.88/3.96  % (3664797)Termination reason: Instruction limit
% 19.88/3.96  % (3664797)Termination phase: Saturation
% 19.88/3.96  % (3664797)Time elapsed: 0.335 s
% 19.88/3.96  % (3664797)Peak memory usage: 105 MB
% 19.88/3.96  % (3664797)Instructions burned: 907 (million)
% 19.88/3.96  % (3664805)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1129397415:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 19.88/3.96  % (3664804)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3974713546:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 19.88/3.96  % (3664804)Instruction limit reached! 
% 19.88/3.96  % (3664804)------------------------------
% 19.88/3.96  % (3664804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.96  % (3664804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.96  % (3664804)CaDiCaL version: 2.1.3
% 19.88/3.96  % (3664804)Termination reason: Instruction limit
% 19.88/3.96  % (3664804)Termination phase: Saturation
% 19.88/3.96  % (3664804)Time elapsed: 0.085 s
% 19.88/3.96  % (3664804)Peak memory usage: 96 MB
% 19.88/3.96  % (3664804)Instructions burned: 135 (million)
% 19.88/3.96  % (3664805)Instruction limit reached! 
% 19.88/3.96  % (3664805)------------------------------
% 19.88/3.96  % (3664805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.96  % (3664805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.96  % (3664805)CaDiCaL version: 2.1.3
% 19.88/3.96  % (3664805)Termination reason: Instruction limit
% 19.88/3.96  % (3664805)Termination phase: Saturation
% 19.88/3.96  % (3664805)Time elapsed: 0.180 s
% 19.88/3.96  % (3664805)Peak memory usage: 106 MB
% 19.88/3.96  % (3664805)Instructions burned: 594 (million)
% 19.88/3.96  % (3664808)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=427239396:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 19.88/3.96  % (3664809)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3693295819:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 19.88/3.96  % (3664809)Instruction limit reached! 
% 19.88/3.96  % (3664809)------------------------------
% 19.88/3.96  % (3664809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.96  % (3664809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.96  % (3664809)CaDiCaL version: 2.1.3
% 19.88/3.96  % (3664809)Termination reason: Instruction limit
% 19.88/3.96  % (3664809)Termination phase: shuffling
% 19.88/3.96  % (3664809)Time elapsed: 0.039 s
% 19.88/3.96  % (3664809)Peak memory usage: 92 MB
% 19.88/3.96  % (3664809)Instructions burned: 125 (million)
% 19.88/3.96  % (3664812)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3744970369:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 19.88/3.96  % (3664812)Instruction limit reached! 
% 19.88/3.96  % (3664812)------------------------------
% 19.88/3.96  % (3664812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.96  % (3664812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.96  % (3664812)CaDiCaL version: 2.1.3
% 19.88/3.96  % (3664812)Termination reason: Instruction limit
% 19.88/3.96  % (3664812)Termination phase: Preprocessing 1
% 19.88/3.96  % (3664812)Time elapsed: 0.040 s
% 19.88/3.96  % (3664812)Peak memory usage: 90 MB
% 19.88/3.96  % (3664812)Instructions burned: 136 (million)
% 19.88/3.96  % (3664814)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2010932343:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 19.88/3.96  % (3664814)Instruction limit reached! 
% 19.88/3.96  % (3664814)------------------------------
% 19.88/3.96  % (3664814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.96  % (3664814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.96  % (3664814)CaDiCaL version: 2.1.3
% 19.88/3.96  % (3664814)Termination reason: Instruction limit
% 19.88/3.96  % (3664814)Termination phase: Saturation
% 19.88/3.96  % (3664814)Time elapsed: 0.052 s
% 19.88/3.96  % (3664814)Peak memory usage: 95 MB
% 19.88/3.96  % (3664814)Instructions burned: 143 (million)
% 19.88/3.96  % (3664789)Instruction limit reached! 
% 19.88/3.96  % (3664789)------------------------------
% 19.88/3.96  % (3664789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.96  % (3664789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.96  % (3664789)CaDiCaL version: 2.1.3
% 19.88/3.96  % (3664789)Termination reason: Instruction limit
% 19.88/3.96  % (3664789)Termination phase: Saturation
% 19.88/3.96  % (3664789)Time elapsed: 1.483 s
% 19.88/3.96  % (3664789)Peak memory usage: 181 MB
% 19.88/3.96  % (3664789)Instructions burned: 2352 (million)
% 19.88/3.96  % (3664816)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1643022993:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 19.88/3.96  % (3664817)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2383943667:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 19.88/3.96  % (3664816)Instruction limit reached! 
% 19.88/3.96  % (3664816)------------------------------
% 19.88/3.96  % (3664816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.96  % (3664816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.96  % (3664816)CaDiCaL version: 2.1.3
% 19.88/3.96  % (3664816)Termination reason: Instruction limit
% 19.88/3.96  % (3664816)Termination phase: Saturation
% 19.88/3.96  % (3664816)Time elapsed: 0.134 s
% 19.88/3.96  % (3664816)Peak memory usage: 97 MB
% 19.88/3.96  % (3664816)Instructions burned: 432 (million)
% 19.88/3.96  % (3664820)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1494465765:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 19.88/3.96  % (3664820)Instruction limit reached! 
% 19.88/3.96  % (3664820)------------------------------
% 19.88/3.96  % (3664820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.96  % (3664820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.96  % (3664820)CaDiCaL version: 2.1.3
% 19.88/3.96  % (3664820)Termination reason: Instruction limit
% 19.88/3.96  % (3664820)Termination phase: Preprocessing 3
% 19.88/3.96  % (3664820)Time elapsed: 0.058 s
% 19.88/3.96  % (3664820)Peak memory usage: 97 MB
% 19.88/3.96  % (3664820)Instructions burned: 152 (million)
% 19.88/3.96  % (3664767)First to succeed.
% 19.88/3.96  % (3664767)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3664761"
% 19.88/3.96  % (3664822)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3435923063:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 19.88/3.96  % (3664767)Refutation found. Thanks to Tanya!
% 19.88/3.96  % SZS status Theorem for theBenchmark
% 19.88/3.96  % SZS output start Proof for theBenchmark
% See solution above
% 21.55/4.16  % (3664767)------------------------------
% 21.55/4.16  % (3664767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.55/4.16  % (3664767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.55/4.16  % (3664767)CaDiCaL version: 2.1.3
% 21.55/4.16  % (3664767)Termination reason: Refutation
% 21.55/4.16  % (3664767)Time elapsed: 2.490 s
% 21.55/4.16  % (3664767)Peak memory usage: 164 MB
% 21.55/4.16  % (3664767)Instructions burned: 3827 (million)
% 21.55/4.16  % (3664767)------------------------------
% 21.55/4.16  % (3664767)------------------------------
% 21.55/4.16  % (3664761)Success in time 3.113 s
% 21.55/4.16  % Vampire exiting
%------------------------------------------------------------------------------