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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET656+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% 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 12:44:20 PM UTC 2026

% Result   : Theorem 0.17s 5.52s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   68 (  11 unt;   0 def)
%            Number of atoms       :  275 (  12 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  342 ( 135   ~; 139   |;  31   &)
%                                         (  11 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :  138 ( 131   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( subset(X0,X1)
           => intersection(X0,X1) = X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).

fof(f6,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
               => ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
               => ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).

fof(f13,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).

fof(f17,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( subset(X0,X1)
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).

fof(f19,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).

fof(f20,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ~ empty(power_set(X0))
        & ilf_type(power_set(X0),set_type) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).

fof(f21,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ( ~ empty(X1)
            & ilf_type(X1,set_type) )
         => ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).

fof(f30,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30) ).

fof(f31,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => intersection(X2,cross_product(X0,X1)) = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_18) ).

fof(f32,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => intersection(X2,cross_product(X0,X1)) = X2 ) ) ),
    inference(negated_conjecture,[status(cth)],[f31]) ).

fof(f33,plain,
    ! [X0] :
      ( ! [X1] :
          ( intersection(X0,X1) = X0
          | ~ subset(X0,X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f34,plain,
    ! [X0] :
      ( ! [X1] :
          ( intersection(X0,X1) = X0
          | ~ subset(X0,X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f33]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
                | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
                | ~ ilf_type(X3,relation_type(X0,X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f50,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f50]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f53]) ).

fof(f55,plain,
    ! [X0] :
      ( ( ~ empty(power_set(X0))
        & ilf_type(power_set(X0),set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f57,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f56]) ).

fof(f69,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( intersection(X2,cross_product(X0,X1)) != X2
              & ilf_type(X2,relation_type(X0,X1)) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f83,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X1,subset_type(X0))
              | ~ ilf_type(X1,member_type(power_set(X0))) )
            & ( ilf_type(X1,member_type(power_set(X0)))
              | ~ ilf_type(X1,subset_type(X0)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f85,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(X0,X1)
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X2] :
                  ( member(X2,X1)
                  | ~ member(X2,X0)
                  | ~ ilf_type(X2,set_type) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f86,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(X0,X1)
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f85]) ).

fof(f87,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(X0,X1)
              | ( ~ member(sK7(X0,X1),X1)
                & member(sK7(X0,X1),X0)
                & ilf_type(sK7(X0,X1),set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f86]) ).

fof(f88,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X2] :
                  ( member(X2,X1)
                  | ~ member(X2,X0)
                  | ~ ilf_type(X2,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f89,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f88]) ).

fof(f90,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ( ~ member(sK8(X0,X1),X1)
                & member(sK8(X0,X1),X0)
                & ilf_type(sK8(X0,X1),set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f89]) ).

fof(f91,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X0,member_type(X1))
              | ~ member(X0,X1) )
            & ( member(X0,X1)
              | ~ ilf_type(X0,member_type(X1)) ) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f103,plain,
    ( sK17 != intersection(sK17,cross_product(sK15,sK16))
    & ilf_type(sK17,relation_type(sK15,sK16))
    & ilf_type(sK16,set_type)
    & ilf_type(sK15,set_type) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X0,sK15),skolemize(X1,sK16),skolemize(X2,sK17)],[f69]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( intersection(X0,X1) = X0
      | ~ subset(X0,X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f116,plain,
    ! [X3,X0,X1] :
      ( ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(sK7(X0,X1),X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(sK7(X0,X1),X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f141,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X3,X0)
      | ~ ilf_type(X3,set_type)
      | ~ member(X0,power_set(X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ empty(power_set(X0))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( member(X0,X1)
      | ~ ilf_type(X0,member_type(X1))
      | empty(X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f168,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f30]) ).

fof(f171,plain,
    ilf_type(sK17,relation_type(sK15,sK16)),
    inference(cnf_transformation,[],[f103]) ).

fof(f172,plain,
    sK17 != intersection(sK17,cross_product(sK15,sK16)),
    inference(cnf_transformation,[],[f103]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( member(X0,X1)
      | ~ ilf_type(X0,member_type(X1))
      | empty(X1)
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f147,f168]) ).

fof(f190,plain,
    ! [X0] : ~ empty(power_set(X0)),
    inference(forward_subsumption_resolution,[],[f146,f168]) ).

fof(f191,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X3,X0)
      | ~ member(X0,power_set(X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f141,f168]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(sK7(X0,X1),X0)
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f138,f168]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(sK7(X0,X1),X1)
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f139,f168]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f131,f168]) ).

fof(f207,plain,
    ! [X3,X0,X1] :
      ( ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f116,f168]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( intersection(X0,X1) = X0
      | ~ subset(X0,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f104,f168]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,member_type(X1))
      | member(X0,X1)
      | empty(X1) ),
    inference(forward_subsumption_resolution,[],[f188,f168]) ).

fof(f229,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X3,X0)
      | ~ member(X0,power_set(X1))
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f191,f168]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( member(sK7(X0,X1),X0)
      | subset(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f196,f168]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ member(sK7(X0,X1),X1)
      | subset(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f197,f168]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,subset_type(X0))
      | ilf_type(X1,member_type(power_set(X0))) ),
    inference(forward_subsumption_resolution,[],[f199,f168]) ).

fof(f241,plain,
    ! [X3,X0,X1] :
      ( ~ ilf_type(X3,relation_type(X0,X1))
      | ilf_type(X3,subset_type(cross_product(X0,X1))) ),
    inference(forward_subsumption_resolution,[],[f207,f168]) ).

fof(f250,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | intersection(X0,X1) = X0 ),
    inference(forward_subsumption_resolution,[],[f216,f168]) ).

fof(f255,plain,
    ! [X3,X0,X1] :
      ( ~ member(X3,X0)
      | member(X3,X1)
      | ~ member(X0,power_set(X1)) ),
    inference(forward_subsumption_resolution,[],[f229,f168]) ).

fof(f340,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,power_set(X2))
      | member(sK7(X0,X1),X2)
      | subset(X0,X1) ),
    inference(resolution,[],[f255,f233]) ).

fof(f349,plain,
    ilf_type(sK17,subset_type(cross_product(sK15,sK16))),
    inference(resolution,[],[f241,f171]) ).

fof(f352,plain,
    ilf_type(sK17,member_type(power_set(cross_product(sK15,sK16)))),
    inference(resolution,[],[f349,f235]) ).

fof(f370,plain,
    ( member(sK17,power_set(cross_product(sK15,sK16)))
    | empty(power_set(cross_product(sK15,sK16))) ),
    inference(resolution,[],[f352,f227]) ).

fof(f371,plain,
    member(sK17,power_set(cross_product(sK15,sK16))),
    inference(forward_subsumption_resolution,[],[f370,f190]) ).

fof(f623,plain,
    ! [X0] :
      ( member(sK7(sK17,X0),cross_product(sK15,sK16))
      | subset(sK17,X0) ),
    inference(resolution,[],[f340,f371]) ).

fof(f627,plain,
    ( subset(sK17,cross_product(sK15,sK16))
    | subset(sK17,cross_product(sK15,sK16)) ),
    inference(resolution,[],[f623,f234]) ).

fof(f636,plain,
    subset(sK17,cross_product(sK15,sK16)),
    inference(duplicate_literal_removal,[],[f627]) ).

fof(f699,plain,
    sK17 = intersection(sK17,cross_product(sK15,sK16)),
    inference(resolution,[],[f636,f250]) ).

fof(f728,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f699,f172]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET656+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/5.40  % Computer : n026.cluster.edu
% 0.13/5.40  % Model    : x86_64 x86_64
% 0.13/5.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40  % Memory   : 8046.5625MB
% 0.13/5.40  % OS       : Linux 6.8.0-71-generic
% 0.13/5.40  % CPULimit : 300
% 0.13/5.40  % WCLimit  : 300
% 0.13/5.40  % DateTime : Mon Sep 28 02:31:19 UTC 2026
% 0.13/5.41  % CPUTime  : 
% 0.13/5.41  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/5.44  Running first-order model finding
% 0.13/5.44  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.52  % (3415712)Will run a generic schedule for satisfiability detection.
% 0.17/5.52  % (3415723)% WARNING: option uhcvi not known.
% 0.17/5.52  % (3415722)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3029807153_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/5.52  % (3415723)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4190609977:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/5.52  % (3415727)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4192200190:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/5.52  % (3415725)dis+10_1_sil=32000:sp=arity:random_seed=2473121318:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/5.52  % (3415724)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1297974514:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/5.52  % (3415728)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2851453909:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/5.52  % (3415726)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2232274122:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/5.52  % TRYING [1]
% 0.17/5.52  % TRYING [2]
% 0.17/5.52  % TRYING [3]
% 0.17/5.52  % (3415727) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3415712-3415727"...
% 0.17/5.52  % (3415727)...printing done.
% 0.17/5.52  % (3415727)Refutation found. Thanks to Tanya!
% 0.17/5.52  % SZS status Theorem for theBenchmark
% 0.17/5.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/5.52  % (3415727)------------------------------
% 0.17/5.52  % (3415727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.52  % (3415727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.52  % (3415727)CaDiCaL version: 2.1.3
% 0.17/5.52  % (3415727)Termination reason: Refutation
% 0.17/5.52  % (3415727)Time elapsed: 0.030 s
% 0.17/5.52  % (3415727)Peak memory usage: 12 MB
% 0.17/5.52  % (3415727)Instructions burned: 28 (million)
% 0.17/5.52  % (3415712)Success in time 0.072 s
% 0.17/5.52  % Vampire exiting
%------------------------------------------------------------------------------