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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU311+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 12:48:17 PM UTC 2026

% Result   : Theorem 1.38s 1.31s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   56 (  11 unt;   0 def)
%            Number of atoms       :  235 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  295 ( 116   ~; 112   |;  47   &)
%                                         (   9 <=>;   9  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   94 (  74   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0,X1] :
      ( ( topological_space(X0)
        & top_str(X0)
        & element(X1,powerset(powerset(the_carrier(X0)))) )
     => ? [X2] :
          ( element(X2,powerset(powerset(the_carrier(X0))))
          & ! [X3] :
              ( element(X3,powerset(the_carrier(X0)))
             => ( in(X3,X2)
              <=> in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_subset_1__e2_37_1_1__pre_topc) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( topological_space(X0)
          & top_str(X0)
          & element(X1,powerset(powerset(the_carrier(X0)))) )
       => ? [X2] :
            ( element(X2,powerset(powerset(the_carrier(X0))))
            & ! [X3] :
                ( element(X3,powerset(the_carrier(X0)))
               => ( in(X3,X2)
                <=> in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f36,axiom,
    ! [X0] : ~ empty(powerset(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).

fof(f37,axiom,
    ! [X0,X1] :
      ( ( topological_space(X0)
        & top_str(X0)
        & element(X1,powerset(powerset(the_carrier(X0)))) )
     => ? [X2] :
        ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,powerset(the_carrier(X0)))
            & in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e2_37_1_1__pre_topc__1) ).

fof(f38,axiom,
    ! [X0,X1] :
      ( ( ~ empty(X0)
       => ( element(X1,X0)
        <=> in(X1,X0) ) )
      & ( empty(X0)
       => ( element(X1,X0)
        <=> empty(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).

fof(f42,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) )
     => element(X0,powerset(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l71_subset_1) ).

fof(f48,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ~ element(X2,powerset(powerset(the_carrier(X0))))
          | ? [X3] :
              ( ( in(X3,X2)
              <~> in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
              & element(X3,powerset(the_carrier(X0))) ) )
      & topological_space(X0)
      & top_str(X0)
      & element(X1,powerset(powerset(the_carrier(X0)))) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f49,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ~ element(X2,powerset(powerset(the_carrier(X0))))
          | ? [X3] :
              ( ( in(X3,X2)
              <~> in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
              & element(X3,powerset(the_carrier(X0))) ) )
      & topological_space(X0)
      & top_str(X0)
      & element(X1,powerset(powerset(the_carrier(X0)))) ),
    inference(flattening,[],[f48]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,powerset(the_carrier(X0)))
            & in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) )
      | ~ topological_space(X0)
      | ~ top_str(X0)
      | ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,powerset(the_carrier(X0)))
            & in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) )
      | ~ topological_space(X0)
      | ~ top_str(X0)
      | ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
    inference(flattening,[],[f50]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ( ( element(X1,X0)
        <=> in(X1,X0) )
        | empty(X0) )
      & ( ( element(X1,X0)
        <=> empty(X1) )
        | ~ empty(X0) ) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f68,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ~ element(X2,powerset(powerset(the_carrier(X0))))
          | ? [X3] :
              ( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
                | ~ in(X3,X2) )
              & ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
                | in(X3,X2) )
              & element(X3,powerset(the_carrier(X0))) ) )
      & topological_space(X0)
      & top_str(X0)
      & element(X1,powerset(powerset(the_carrier(X0)))) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f69,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ~ element(X2,powerset(powerset(the_carrier(X0))))
          | ? [X3] :
              ( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
                | ~ in(X3,X2) )
              & ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
                | in(X3,X2) )
              & element(X3,powerset(the_carrier(X0))) ) )
      & topological_space(X0)
      & top_str(X0)
      & element(X1,powerset(powerset(the_carrier(X0)))) ),
    inference(flattening,[],[f68]) ).

fof(f70,plain,
    ( ! [X2] :
        ( ~ element(X2,powerset(powerset(the_carrier(sK0))))
        | ( ( ~ in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
            | ~ in(sK2(X2),X2) )
          & ( in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
            | in(sK2(X2),X2) )
          & element(sK2(X2),powerset(the_carrier(sK0))) ) )
    & topological_space(sK0)
    & top_str(sK0)
    & element(sK1,powerset(powerset(the_carrier(sK0)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X3,sK2(X2))],[f69]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( in(X3,X2)
            | ~ in(X3,powerset(the_carrier(X0)))
            | ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
          & ( ( in(X3,powerset(the_carrier(X0)))
              & in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
            | ~ in(X3,X2) ) )
      | ~ topological_space(X0)
      | ~ top_str(X0)
      | ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( in(X3,X2)
            | ~ in(X3,powerset(the_carrier(X0)))
            | ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
          & ( ( in(X3,powerset(the_carrier(X0)))
              & in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
            | ~ in(X3,X2) ) )
      | ~ topological_space(X0)
      | ~ top_str(X0)
      | ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
    inference(flattening,[],[f71]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ! [X3] :
          ( ( in(X3,sK3(X0,X1))
            | ~ in(X3,powerset(the_carrier(X0)))
            | ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
          & ( ( in(X3,powerset(the_carrier(X0)))
              & in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
            | ~ in(X3,sK3(X0,X1)) ) )
      | ~ topological_space(X0)
      | ~ top_str(X0)
      | ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f72]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ( ~ in(sK5(X0,X1),X1)
        & in(sK5(X0,X1),X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f59]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ( ( ( element(X1,X0)
            | ~ in(X1,X0) )
          & ( in(X1,X0)
            | ~ element(X1,X0) ) )
        | empty(X0) )
      & ( ( ( element(X1,X0)
            | ~ empty(X1) )
          & ( empty(X1)
            | ~ element(X1,X0) ) )
        | ~ empty(X0) ) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f81,plain,
    element(sK1,powerset(powerset(the_carrier(sK0)))),
    inference(cnf_transformation,[],[f70]) ).

fof(f82,plain,
    top_str(sK0),
    inference(cnf_transformation,[],[f70]) ).

fof(f83,plain,
    topological_space(sK0),
    inference(cnf_transformation,[],[f70]) ).

fof(f84,plain,
    ! [X2] :
      ( element(sK2(X2),powerset(the_carrier(sK0)))
      | ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f85,plain,
    ! [X2] :
      ( in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
      | ~ element(X2,powerset(powerset(the_carrier(sK0))))
      | in(sK2(X2),X2) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f86,plain,
    ! [X2] :
      ( ~ in(set_difference(cast_as_carrier_subset(sK0),sK2(X2)),sK1)
      | ~ element(X2,powerset(powerset(the_carrier(sK0))))
      | ~ in(sK2(X2),X2) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f87,plain,
    ! [X3,X0,X1] :
      ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
      | ~ in(X3,sK3(X0,X1))
      | ~ topological_space(X0)
      | ~ top_str(X0)
      | ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f88,plain,
    ! [X3,X0,X1] :
      ( ~ element(X1,powerset(powerset(the_carrier(X0))))
      | ~ in(X3,sK3(X0,X1))
      | ~ topological_space(X0)
      | ~ top_str(X0)
      | in(X3,powerset(the_carrier(X0))) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f89,plain,
    ! [X3,X0,X1] :
      ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
      | ~ in(X3,powerset(the_carrier(X0)))
      | in(X3,sK3(X0,X1))
      | ~ topological_space(X0)
      | ~ top_str(X0)
      | ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( in(sK5(X0,X1),X0)
      | element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ in(sK5(X0,X1),X1)
      | element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( in(X1,X0)
      | ~ element(X1,X0)
      | empty(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f124,plain,
    ! [X0] : ~ empty(powerset(X0)),
    inference(cnf_transformation,[],[f36]) ).

fof(f258,plain,
    ! [X0] :
      ( ~ in(X0,sK3(sK0,sK1))
      | ~ topological_space(sK0)
      | ~ top_str(sK0)
      | in(X0,powerset(the_carrier(sK0))) ),
    inference(resolution,[],[f88,f81]) ).

fof(f265,plain,
    ! [X0] :
      ( ~ in(X0,sK3(sK0,sK1))
      | ~ top_str(sK0)
      | in(X0,powerset(the_carrier(sK0))) ),
    inference(forward_subsumption_resolution,[],[f258,f83]) ).

fof(f266,plain,
    ! [X0] :
      ( in(X0,powerset(the_carrier(sK0)))
      | ~ in(X0,sK3(sK0,sK1)) ),
    inference(forward_subsumption_resolution,[],[f265,f82]) ).

fof(f267,plain,
    ! [X0] :
      ( ~ in(sK2(X0),sK3(sK0,sK1))
      | ~ topological_space(sK0)
      | ~ top_str(sK0)
      | ~ element(sK1,powerset(powerset(the_carrier(sK0))))
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | ~ in(sK2(X0),X0) ),
    inference(resolution,[],[f87,f86]) ).

fof(f271,plain,
    ! [X0] :
      ( ~ in(sK2(X0),sK3(sK0,sK1))
      | ~ top_str(sK0)
      | ~ element(sK1,powerset(powerset(the_carrier(sK0))))
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | ~ in(sK2(X0),X0) ),
    inference(forward_subsumption_resolution,[],[f267,f83]) ).

fof(f272,plain,
    ! [X0] :
      ( ~ in(sK2(X0),sK3(sK0,sK1))
      | ~ element(sK1,powerset(powerset(the_carrier(sK0))))
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | ~ in(sK2(X0),X0) ),
    inference(forward_subsumption_resolution,[],[f271,f82]) ).

fof(f273,plain,
    ! [X0] :
      ( ~ in(sK2(X0),sK3(sK0,sK1))
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | ~ in(sK2(X0),X0) ),
    inference(forward_subsumption_resolution,[],[f272,f81]) ).

fof(f277,plain,
    ! [X0] :
      ( ~ in(sK5(X0,powerset(the_carrier(sK0))),sK3(sK0,sK1))
      | element(X0,powerset(powerset(the_carrier(sK0)))) ),
    inference(resolution,[],[f266,f106]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ in(sK2(X0),powerset(the_carrier(sK0)))
      | in(sK2(X0),sK3(sK0,sK1))
      | ~ topological_space(sK0)
      | ~ top_str(sK0)
      | ~ element(sK1,powerset(powerset(the_carrier(sK0))))
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | in(sK2(X0),X0) ),
    inference(resolution,[],[f89,f85]) ).

fof(f284,plain,
    ! [X0] :
      ( ~ in(sK2(X0),powerset(the_carrier(sK0)))
      | in(sK2(X0),sK3(sK0,sK1))
      | ~ top_str(sK0)
      | ~ element(sK1,powerset(powerset(the_carrier(sK0))))
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | in(sK2(X0),X0) ),
    inference(forward_subsumption_resolution,[],[f279,f83]) ).

fof(f285,plain,
    ! [X0] :
      ( ~ in(sK2(X0),powerset(the_carrier(sK0)))
      | in(sK2(X0),sK3(sK0,sK1))
      | ~ element(sK1,powerset(powerset(the_carrier(sK0))))
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | in(sK2(X0),X0) ),
    inference(forward_subsumption_resolution,[],[f284,f82]) ).

fof(f286,plain,
    ! [X0] :
      ( in(sK2(X0),sK3(sK0,sK1))
      | ~ in(sK2(X0),powerset(the_carrier(sK0)))
      | ~ element(X0,powerset(powerset(the_carrier(sK0))))
      | in(sK2(X0),X0) ),
    inference(forward_subsumption_resolution,[],[f285,f81]) ).

fof(f337,plain,
    ( ~ in(sK2(sK3(sK0,sK1)),sK3(sK0,sK1))
    | ~ element(sK3(sK0,sK1),powerset(powerset(the_carrier(sK0)))) ),
    inference(factoring,[],[f273]) ).

fof(f604,plain,
    ( element(sK3(sK0,sK1),powerset(powerset(the_carrier(sK0))))
    | element(sK3(sK0,sK1),powerset(powerset(the_carrier(sK0)))) ),
    inference(resolution,[],[f277,f105]) ).

fof(f606,plain,
    element(sK3(sK0,sK1),powerset(powerset(the_carrier(sK0)))),
    inference(duplicate_literal_removal,[],[f604]) ).

fof(f632,plain,
    ~ in(sK2(sK3(sK0,sK1)),sK3(sK0,sK1)),
    inference(forward_subsumption_resolution,[],[f337,f606]) ).

fof(f633,plain,
    ( ~ in(sK2(sK3(sK0,sK1)),powerset(the_carrier(sK0)))
    | ~ element(sK3(sK0,sK1),powerset(powerset(the_carrier(sK0))))
    | in(sK2(sK3(sK0,sK1)),sK3(sK0,sK1)) ),
    inference(resolution,[],[f632,f286]) ).

fof(f635,plain,
    ( ~ in(sK2(sK3(sK0,sK1)),powerset(the_carrier(sK0)))
    | in(sK2(sK3(sK0,sK1)),sK3(sK0,sK1)) ),
    inference(forward_subsumption_resolution,[],[f633,f606]) ).

fof(f636,plain,
    ~ in(sK2(sK3(sK0,sK1)),powerset(the_carrier(sK0))),
    inference(forward_subsumption_resolution,[],[f635,f632]) ).

fof(f638,plain,
    ( ~ element(sK2(sK3(sK0,sK1)),powerset(the_carrier(sK0)))
    | empty(powerset(the_carrier(sK0))) ),
    inference(resolution,[],[f636,f109]) ).

fof(f639,plain,
    ~ element(sK2(sK3(sK0,sK1)),powerset(the_carrier(sK0))),
    inference(forward_subsumption_resolution,[],[f638,f124]) ).

fof(f671,plain,
    ~ element(sK3(sK0,sK1),powerset(powerset(the_carrier(sK0)))),
    inference(resolution,[],[f639,f84]) ).

fof(f675,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f671,f606]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU311+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n017.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 04:33:50 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 1.38/1.31  % (3204543)Detected formulas, will run a generic FOF schedule.
% 1.38/1.31  % (3204652)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1854832443:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.38/1.31  % (3204652)Instruction limit reached! 
% 1.38/1.31  % (3204652)------------------------------
% 1.38/1.31  % (3204652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.38/1.31  % (3204652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/1.31  % (3204652)CaDiCaL version: 2.1.3
% 1.38/1.31  % (3204652)Termination reason: Instruction limit
% 1.38/1.31  % (3204652)Termination phase: Saturation
% 1.38/1.31  % (3204652)Time elapsed: 0.033 s
% 1.38/1.31  % (3204652)Peak memory usage: 90 MB
% 1.38/1.31  % (3204652)Instructions burned: 112 (million)
% 1.38/1.31  % (3204650)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=1302706552:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.38/1.31  % (3204653)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=608254551:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.38/1.31  % (3204651)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=2216981798:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.38/1.31  % (3204655)dis-21_1_sil=8000:lcm=predicate:random_seed=2392367407: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)
% 1.38/1.31  % (3204649)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=4011874399:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.38/1.31  % (3204654)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1468837027:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.38/1.31  % (3204653)First to succeed.
% 1.38/1.31  % (3204653)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3204543"
% 1.38/1.31  % (3204654)Also succeeded, but the first one will report.
% 1.38/1.31  % (3204655)Instruction limit reached! 
% 1.38/1.31  % (3204655)------------------------------
% 1.38/1.31  % (3204655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.38/1.31  % (3204655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/1.31  % (3204655)CaDiCaL version: 2.1.3
% 1.38/1.31  % (3204655)Termination reason: Instruction limit
% 1.38/1.31  % (3204655)Termination phase: Saturation
% 1.38/1.31  % (3204655)Time elapsed: 0.072 s
% 1.38/1.31  % (3204655)Peak memory usage: 88 MB
% 1.38/1.31  % (3204655)Instructions burned: 130 (million)
% 1.38/1.31  % (3204667)lrs+10_1_sil=8000:sp=occurrence:random_seed=793928481:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.38/1.31  % (3204667)Also succeeded, but the first one will report.
% 1.38/1.31  % (3204677)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3594456494:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.38/1.31  % (3204677)Refutation not found, incomplete strategy
% 1.38/1.31  % (3204677)------------------------------
% 1.38/1.31  % (3204677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.38/1.31  % (3204677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/1.31  % (3204677)CaDiCaL version: 2.1.3
% 1.38/1.31  % (3204677)Termination reason: Refutation not found, incomplete strategy
% 1.38/1.31  % (3204677)Time elapsed: 0.003 s
% 1.38/1.31  % (3204677)Peak memory usage: 88 MB
% 1.38/1.31  % (3204677)Instructions burned: 2 (million)
% 1.38/1.31  % (3204653)Refutation found. Thanks to Tanya!
% 1.38/1.31  % SZS status Theorem for theBenchmark
% 1.38/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.50  % (3204653)------------------------------
% 0.16/1.50  % (3204653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51  % (3204653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51  % (3204653)CaDiCaL version: 2.1.3
% 0.16/1.51  % (3204653)Termination reason: Refutation
% 0.16/1.51  % (3204653)Time elapsed: 0.015 s
% 0.16/1.51  % (3204653)Peak memory usage: 88 MB
% 0.16/1.51  % (3204653)Instructions burned: 20 (million)
% 0.16/1.51  % (3204653)------------------------------
% 0.16/1.51  % (3204653)------------------------------
% 0.16/1.51  % (3204543)Success in time 0.444 s
% 0.16/1.51  % Vampire exiting
%------------------------------------------------------------------------------