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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU192+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 12:47:39 PM UTC 2026

% Result   : Theorem 1.64s 1.14s
% Output   : Refutation 2.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   57 (   7 unt;   0 def)
%            Number of atoms       :  269 (  23 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  364 ( 152   ~; 151   |;  44   &)
%                                         (  10 <=>;   6  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :  164 ( 141   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( relation(X2)
         => ( X2 = relation_dom_restriction(X0,X1)
          <=> ! [X3,X4] :
                ( in(ordered_pair(X3,X4),X2)
              <=> ( in(X3,X1)
                  & in(ordered_pair(X3,X4),X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_relat_1) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( X1 = relation_dom(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_dom_restriction(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).

fof(f30,conjecture,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
      <=> ( in(X0,X1)
          & in(X0,relation_dom(X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_relat_1) ).

fof(f31,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( relation(X2)
       => ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
        <=> ( in(X0,X1)
            & in(X0,relation_dom(X2)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f30]) ).

fof(f33,plain,
    ? [X0,X1,X2] :
      ( ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
      <~> ( in(X0,X1)
          & in(X0,relation_dom(X2)) ) )
      & relation(X2) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f37,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_dom_restriction(X0,X1)
          <=> ! [X3,X4] :
                ( in(ordered_pair(X3,X4),X2)
              <=> ( in(X3,X1)
                  & in(ordered_pair(X3,X4),X0) ) ) )
          | ~ relation(X2) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = relation_dom(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f44,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X0,X1)
        | ~ in(X0,relation_dom(X2))
        | ~ in(X0,relation_dom(relation_dom_restriction(X2,X1))) )
      & ( ( in(X0,X1)
          & in(X0,relation_dom(X2)) )
        | in(X0,relation_dom(relation_dom_restriction(X2,X1))) )
      & relation(X2) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f45,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X0,X1)
        | ~ in(X0,relation_dom(X2))
        | ~ in(X0,relation_dom(relation_dom_restriction(X2,X1))) )
      & ( ( in(X0,X1)
          & in(X0,relation_dom(X2)) )
        | in(X0,relation_dom(relation_dom_restriction(X2,X1))) )
      & relation(X2) ),
    inference(flattening,[],[f44]) ).

fof(f46,plain,
    ( ( ~ in(sK0,sK1)
      | ~ in(sK0,relation_dom(sK2))
      | ~ in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))) )
    & ( ( in(sK0,sK1)
        & in(sK0,relation_dom(sK2)) )
      | in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))) )
    & relation(sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f45]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( X2 = relation_dom_restriction(X0,X1)
              | ? [X3,X4] :
                  ( ( ~ in(X3,X1)
                    | ~ in(ordered_pair(X3,X4),X0)
                    | ~ in(ordered_pair(X3,X4),X2) )
                  & ( ( in(X3,X1)
                      & in(ordered_pair(X3,X4),X0) )
                    | in(ordered_pair(X3,X4),X2) ) ) )
            & ( ! [X3,X4] :
                  ( ( in(ordered_pair(X3,X4),X2)
                    | ~ in(X3,X1)
                    | ~ in(ordered_pair(X3,X4),X0) )
                  & ( ( in(X3,X1)
                      & in(ordered_pair(X3,X4),X0) )
                    | ~ in(ordered_pair(X3,X4),X2) ) )
              | relation_dom_restriction(X0,X1) != X2 ) )
          | ~ relation(X2) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( X2 = relation_dom_restriction(X0,X1)
              | ? [X3,X4] :
                  ( ( ~ in(X3,X1)
                    | ~ in(ordered_pair(X3,X4),X0)
                    | ~ in(ordered_pair(X3,X4),X2) )
                  & ( ( in(X3,X1)
                      & in(ordered_pair(X3,X4),X0) )
                    | in(ordered_pair(X3,X4),X2) ) ) )
            & ( ! [X3,X4] :
                  ( ( in(ordered_pair(X3,X4),X2)
                    | ~ in(X3,X1)
                    | ~ in(ordered_pair(X3,X4),X0) )
                  & ( ( in(X3,X1)
                      & in(ordered_pair(X3,X4),X0) )
                    | ~ in(ordered_pair(X3,X4),X2) ) )
              | relation_dom_restriction(X0,X1) != X2 ) )
          | ~ relation(X2) )
      | ~ relation(X0) ),
    inference(flattening,[],[f47]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( X2 = relation_dom_restriction(X0,X1)
              | ? [X3,X4] :
                  ( ( ~ in(X3,X1)
                    | ~ in(ordered_pair(X3,X4),X0)
                    | ~ in(ordered_pair(X3,X4),X2) )
                  & ( ( in(X3,X1)
                      & in(ordered_pair(X3,X4),X0) )
                    | in(ordered_pair(X3,X4),X2) ) ) )
            & ( ! [X5,X6] :
                  ( ( in(ordered_pair(X5,X6),X2)
                    | ~ in(X5,X1)
                    | ~ in(ordered_pair(X5,X6),X0) )
                  & ( ( in(X5,X1)
                      & in(ordered_pair(X5,X6),X0) )
                    | ~ in(ordered_pair(X5,X6),X2) ) )
              | relation_dom_restriction(X0,X1) != X2 ) )
          | ~ relation(X2) )
      | ~ relation(X0) ),
    inference(rectify,[],[f48]) ).

fof(f50,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( X2 = relation_dom_restriction(X0,X1)
              | ( ( ~ in(sK3(X0,X1,X2),X1)
                  | ~ in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0)
                  | ~ in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X2) )
                & ( ( in(sK3(X0,X1,X2),X1)
                    & in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0) )
                  | in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X2) ) ) )
            & ( ! [X5,X6] :
                  ( ( in(ordered_pair(X5,X6),X2)
                    | ~ in(X5,X1)
                    | ~ in(ordered_pair(X5,X6),X0) )
                  & ( ( in(X5,X1)
                      & in(ordered_pair(X5,X6),X0) )
                    | ~ in(ordered_pair(X5,X6),X2) ) )
              | relation_dom_restriction(X0,X1) != X2 ) )
          | ~ relation(X2) )
      | ~ relation(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X4,sK4(X0,X1,X2))],[f49]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_dom(X0)
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_dom(X0)
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X2,X4),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( ? [X7] : in(ordered_pair(X5,X7),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f53]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_dom(X0)
            | ( ( ! [X3] : ~ in(ordered_pair(sK7(X0,X1),X3),X0)
                | ~ in(sK7(X0,X1),X1) )
              & ( in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
                | in(sK7(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( in(ordered_pair(X5,sK9(X0,X5)),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X4,sK8(X0,X1)),skolemize(X7,sK9(X0,X5))],[f54]) ).

fof(f58,plain,
    relation(sK2),
    inference(cnf_transformation,[],[f46]) ).

fof(f59,plain,
    ( in(sK0,relation_dom(relation_dom_restriction(sK2,sK1)))
    | in(sK0,relation_dom(sK2)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f60,plain,
    ( in(sK0,relation_dom(relation_dom_restriction(sK2,sK1)))
    | in(sK0,sK1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f61,plain,
    ( ~ in(sK0,relation_dom(relation_dom_restriction(sK2,sK1)))
    | ~ in(sK0,relation_dom(sK2))
    | ~ in(sK0,sK1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f65,plain,
    ! [X2,X0,X1,X6,X5] :
      ( in(ordered_pair(X5,X6),X0)
      | ~ in(ordered_pair(X5,X6),X2)
      | relation_dom_restriction(X0,X1) != X2
      | ~ relation(X2)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f66,plain,
    ! [X2,X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X5,X6),X2)
      | relation_dom_restriction(X0,X1) != X2
      | ~ relation(X2)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f67,plain,
    ! [X2,X0,X1,X6,X5] :
      ( in(ordered_pair(X5,X6),X2)
      | ~ in(X5,X1)
      | ~ in(ordered_pair(X5,X6),X0)
      | relation_dom_restriction(X0,X1) != X2
      | ~ relation(X2)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f79,plain,
    ! [X0,X1,X5] :
      ( in(ordered_pair(X5,sK9(X0,X5)),X0)
      | ~ in(X5,X1)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f80,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X5,X6),X0)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f87,plain,
    ! [X0,X1,X6,X5] :
      ( in(ordered_pair(X5,X6),relation_dom_restriction(X0,X1))
      | ~ in(X5,X1)
      | ~ in(ordered_pair(X5,X6),X0)
      | ~ relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f67]) ).

fof(f88,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X5,X6),relation_dom_restriction(X0,X1))
      | ~ relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f66]) ).

fof(f89,plain,
    ! [X0,X1,X6,X5] :
      ( in(ordered_pair(X5,X6),X0)
      | ~ in(ordered_pair(X5,X6),relation_dom_restriction(X0,X1))
      | ~ relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f65]) ).

fof(f90,plain,
    ! [X0,X6,X5] :
      ( ~ in(ordered_pair(X5,X6),X0)
      | in(X5,relation_dom(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f80]) ).

fof(f91,plain,
    ! [X0,X5] :
      ( in(ordered_pair(X5,sK9(X0,X5)),X0)
      | ~ in(X5,relation_dom(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f79]) ).

fof(f114,plain,
    ! [X0,X1,X6,X5] :
      ( ~ in(ordered_pair(X5,X6),relation_dom_restriction(X0,X1))
      | in(X5,X1)
      | ~ relation(X0) ),
    inference(forward_subsumption_resolution,[],[f88,f64]) ).

fof(f115,plain,
    ! [X2,X0,X1] :
      ( in(X0,X1)
      | ~ relation(X2)
      | ~ in(X0,relation_dom(relation_dom_restriction(X2,X1)))
      | ~ relation(relation_dom_restriction(X2,X1)) ),
    inference(resolution,[],[f114,f91]) ).

fof(f116,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_dom(relation_dom_restriction(X2,X1)))
      | ~ relation(X2)
      | in(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f115,f64]) ).

fof(f119,plain,
    ( ~ relation(sK2)
    | in(sK0,sK1)
    | in(sK0,sK1) ),
    inference(resolution,[],[f116,f60]) ).

fof(f121,plain,
    ( ~ relation(sK2)
    | in(sK0,sK1) ),
    inference(duplicate_literal_removal,[],[f119]) ).

fof(f122,plain,
    in(sK0,sK1),
    inference(forward_subsumption_resolution,[],[f121,f58]) ).

fof(f128,plain,
    ! [X0,X1,X6,X5] :
      ( ~ in(ordered_pair(X5,X6),relation_dom_restriction(X0,X1))
      | in(ordered_pair(X5,X6),X0)
      | ~ relation(X0) ),
    inference(forward_subsumption_resolution,[],[f89,f64]) ).

fof(f129,plain,
    ! [X2,X0,X1] :
      ( in(ordered_pair(X0,sK9(relation_dom_restriction(X1,X2),X0)),X1)
      | ~ relation(X1)
      | ~ in(X0,relation_dom(relation_dom_restriction(X1,X2)))
      | ~ relation(relation_dom_restriction(X1,X2)) ),
    inference(resolution,[],[f128,f91]) ).

fof(f130,plain,
    ! [X2,X0,X1] :
      ( in(ordered_pair(X0,sK9(relation_dom_restriction(X1,X2),X0)),X1)
      | ~ relation(X1)
      | ~ in(X0,relation_dom(relation_dom_restriction(X1,X2))) ),
    inference(forward_subsumption_resolution,[],[f129,f64]) ).

fof(f175,plain,
    ! [X0,X1,X6,X5] :
      ( in(ordered_pair(X5,X6),relation_dom_restriction(X0,X1))
      | ~ in(X5,X1)
      | ~ in(ordered_pair(X5,X6),X0)
      | ~ relation(X0) ),
    inference(forward_subsumption_resolution,[],[f87,f64]) ).

fof(f232,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(X0,X1)
      | ~ in(ordered_pair(X0,X2),X3)
      | ~ relation(X3)
      | in(X0,relation_dom(relation_dom_restriction(X3,X1)))
      | ~ relation(relation_dom_restriction(X3,X1)) ),
    inference(resolution,[],[f175,f90]) ).

fof(f239,plain,
    ! [X2,X3,X0,X1] :
      ( in(X0,relation_dom(relation_dom_restriction(X3,X1)))
      | ~ in(ordered_pair(X0,X2),X3)
      | ~ relation(X3)
      | ~ in(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f232,f64]) ).

fof(f568,plain,
    ! [X0] :
      ( ~ in(ordered_pair(sK0,X0),sK2)
      | ~ relation(sK2)
      | ~ in(sK0,sK1)
      | ~ in(sK0,relation_dom(sK2))
      | ~ in(sK0,sK1) ),
    inference(resolution,[],[f239,f61]) ).

fof(f577,plain,
    ! [X0] :
      ( ~ in(ordered_pair(sK0,X0),sK2)
      | ~ relation(sK2)
      | ~ in(sK0,sK1)
      | ~ in(sK0,relation_dom(sK2)) ),
    inference(duplicate_literal_removal,[],[f568]) ).

fof(f580,plain,
    ! [X0] :
      ( ~ in(ordered_pair(sK0,X0),sK2)
      | ~ relation(sK2)
      | ~ in(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f577,f90]) ).

fof(f581,plain,
    ! [X0] :
      ( ~ in(ordered_pair(sK0,X0),sK2)
      | ~ in(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f580,f58]) ).

fof(f582,plain,
    ! [X0] : ~ in(ordered_pair(sK0,X0),sK2),
    inference(forward_subsumption_resolution,[],[f581,f122]) ).

fof(f583,plain,
    ( ~ in(sK0,relation_dom(sK2))
    | ~ relation(sK2) ),
    inference(resolution,[],[f582,f91]) ).

fof(f584,plain,
    ~ in(sK0,relation_dom(sK2)),
    inference(forward_subsumption_resolution,[],[f583,f58]) ).

fof(f606,plain,
    ! [X0] :
      ( ~ relation(sK2)
      | ~ in(sK0,relation_dom(relation_dom_restriction(sK2,X0))) ),
    inference(resolution,[],[f130,f582]) ).

fof(f623,plain,
    ! [X0] : ~ in(sK0,relation_dom(relation_dom_restriction(sK2,X0))),
    inference(forward_subsumption_resolution,[],[f606,f58]) ).

fof(f626,plain,
    in(sK0,relation_dom(sK2)),
    inference(resolution,[],[f623,f59]) ).

fof(f635,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f626,f584]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU192+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n026.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Mon Sep 28 04:00:57 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.64/1.14  % (3446867)Detected formulas, will run a generic FOF schedule.
% 1.64/1.14  % (3446876)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2966062421:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.64/1.14  % (3446876)First to succeed.
% 1.64/1.14  % (3446876)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3446867"
% 1.64/1.14  % (3446874)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=3404080039:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.64/1.14  % (3446872)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=741486719:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.64/1.14  % (3446875)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1239593636:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.64/1.14  % (3446873)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=510355966:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.64/1.14  % (3446877)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2589818540:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.64/1.14  % (3446875)Refutation not found, incomplete strategy
% 1.64/1.14  % (3446875)------------------------------
% 1.64/1.14  % (3446875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.64/1.14  % (3446875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/1.14  % (3446875)CaDiCaL version: 2.1.3
% 1.64/1.14  % (3446875)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.14  % (3446875)Time elapsed: 0.002 s
% 1.64/1.14  % (3446875)Peak memory usage: 88 MB
% 1.64/1.14  % (3446875)Instructions burned: 2 (million)
% 1.64/1.14  % (3446878)dis-21_1_sil=8000:lcm=predicate:random_seed=3173652251: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)
% 1.64/1.14  % (3446877)Also succeeded, but the first one will report.
% 1.64/1.14  % (3446878)Also succeeded, but the first one will report.
% 1.64/1.14  % (3446876)Refutation found. Thanks to Tanya!
% 1.64/1.14  % SZS status Theorem for theBenchmark
% 1.64/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 2.56/1.34  % (3446876)------------------------------
% 2.56/1.34  % (3446876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.34  % (3446876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.34  % (3446876)CaDiCaL version: 2.1.3
% 2.56/1.34  % (3446876)Termination reason: Refutation
% 2.56/1.34  % (3446876)Time elapsed: 0.007 s
% 2.56/1.34  % (3446876)Peak memory usage: 88 MB
% 2.56/1.34  % (3446876)Instructions burned: 19 (million)
% 2.56/1.34  % (3446876)------------------------------
% 2.56/1.34  % (3446876)------------------------------
% 2.56/1.34  % (3446867)Success in time 0.283 s
% 2.56/1.34  % Vampire exiting
%------------------------------------------------------------------------------