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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NLP145+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:09:04 PM UTC 2026

% Result   : Theorem 0.16s 0.47s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   72 (  15 unt;   0 def)
%            Number of atoms       :  443 (  33 equ)
%            Maximal formula atoms :   27 (   6 avg)
%            Number of connectives :  436 (  65   ~;  58   |; 277   &)
%                                         (   3 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   35 (  33 usr;   1 prp; 0-4 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-4 aty)
%            Number of variables   :  242 ( 122   !; 120   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( furniture(X0,X1)
     => instrumentality(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( seat(X0,X1)
     => furniture(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( frontseat(X0,X1)
     => seat(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( object(X0,X1)
     => unisex(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( artifact(X0,X1)
     => object(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( instrumentality(X0,X1)
     => artifact(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

fof(f37,axiom,
    ! [X0,X1] :
      ( man(X0,X1)
     => male(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).

fof(f49,axiom,
    ! [X0,X1] :
      ( fellow(X0,X1)
     => man(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).

fof(f56,axiom,
    ! [X0,X1] :
      ( unisex(X0,X1)
     => ~ male(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).

fof(f59,axiom,
    ! [X0,X1,X2,X3] :
      ( be(X0,X1,X2,X3)
     => X2 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).

fof(f60,axiom,
    ! [X0,X1] :
      ( two(X0,X1)
    <=> ? [X2] :
          ( member(X0,X2,X1)
          & ? [X3] :
              ( member(X0,X3,X1)
              & X3 != X2
              & ! [X4] :
                  ( member(X0,X4,X1)
                 => ( X4 = X3
                    | X4 = X2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).

fof(f62,conjecture,
    ~ ? [X0] :
        ( actual_world(X0)
        & ? [X1,X2,X3,X4,X5,X6] :
            ( of(X0,X2,X1)
            & city(X0,X1)
            & hollywood_placename(X0,X2)
            & placename(X0,X2)
            & chevy(X0,X3)
            & white(X0,X3)
            & dirty(X0,X3)
            & old(X0,X3)
            & street(X0,X4)
            & lonely(X0,X4)
            & event(X0,X5)
            & agent(X0,X5,X3)
            & present(X0,X5)
            & barrel(X0,X5)
            & down(X0,X5,X4)
            & in(X0,X5,X1)
            & ! [X7] :
                ( member(X0,X7,X6)
               => ? [X8,X9] :
                    ( frontseat(X0,X9)
                    & state(X0,X8)
                    & be(X0,X8,X7,X9)
                    & in(X0,X9,X9) ) )
            & two(X0,X6)
            & group(X0,X6)
            & ! [X10] :
                ( member(X0,X10,X6)
               => ( fellow(X0,X10)
                  & young(X0,X10) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f63,negated_conjecture,
    ~ ~ ? [X0] :
          ( actual_world(X0)
          & ? [X1,X2,X3,X4,X5,X6] :
              ( of(X0,X2,X1)
              & city(X0,X1)
              & hollywood_placename(X0,X2)
              & placename(X0,X2)
              & chevy(X0,X3)
              & white(X0,X3)
              & dirty(X0,X3)
              & old(X0,X3)
              & street(X0,X4)
              & lonely(X0,X4)
              & event(X0,X5)
              & agent(X0,X5,X3)
              & present(X0,X5)
              & barrel(X0,X5)
              & down(X0,X5,X4)
              & in(X0,X5,X1)
              & ! [X7] :
                  ( member(X0,X7,X6)
                 => ? [X8,X9] :
                      ( frontseat(X0,X9)
                      & state(X0,X8)
                      & be(X0,X8,X7,X9)
                      & in(X0,X9,X9) ) )
              & two(X0,X6)
              & group(X0,X6)
              & ! [X10] :
                  ( member(X0,X10,X6)
                 => ( fellow(X0,X10)
                    & young(X0,X10) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f62]) ).

fof(f64,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X1,X2,X3,X4,X5,X6] :
          ( of(X0,X2,X1)
          & city(X0,X1)
          & hollywood_placename(X0,X2)
          & placename(X0,X2)
          & chevy(X0,X3)
          & white(X0,X3)
          & dirty(X0,X3)
          & old(X0,X3)
          & street(X0,X4)
          & lonely(X0,X4)
          & event(X0,X5)
          & agent(X0,X5,X3)
          & present(X0,X5)
          & barrel(X0,X5)
          & down(X0,X5,X4)
          & in(X0,X5,X1)
          & ! [X7] :
              ( member(X0,X7,X6)
             => ? [X8,X9] :
                  ( frontseat(X0,X9)
                  & state(X0,X8)
                  & be(X0,X8,X7,X9)
                  & in(X0,X9,X9) ) )
          & two(X0,X6)
          & group(X0,X6)
          & ! [X10] :
              ( member(X0,X10,X6)
             => ( fellow(X0,X10)
                & young(X0,X10) ) ) ) ),
    inference(flattening,[],[f63]) ).

fof(f65,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X1,X2,X3,X4,X5,X6] :
          ( of(X0,X2,X1)
          & city(X0,X1)
          & hollywood_placename(X0,X2)
          & placename(X0,X2)
          & chevy(X0,X3)
          & white(X0,X3)
          & dirty(X0,X3)
          & old(X0,X3)
          & street(X0,X4)
          & lonely(X0,X4)
          & event(X0,X5)
          & agent(X0,X5,X3)
          & present(X0,X5)
          & barrel(X0,X5)
          & down(X0,X5,X4)
          & ! [X7] :
              ( member(X0,X7,X6)
             => ? [X8,X9] :
                  ( frontseat(X0,X9)
                  & state(X0,X8)
                  & be(X0,X8,X7,X9) ) )
          & two(X0,X6)
          & group(X0,X6)
          & ! [X10] :
              ( member(X0,X10,X6)
             => ( fellow(X0,X10)
                & young(X0,X10) ) ) ) ),
    inference(pure_predicate_removal,[],[f64]) ).

fof(f66,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X1,X2,X3,X4,X5,X6] :
          ( of(X0,X2,X1)
          & city(X0,X1)
          & hollywood_placename(X0,X2)
          & placename(X0,X2)
          & chevy(X0,X3)
          & white(X0,X3)
          & dirty(X0,X3)
          & old(X0,X3)
          & street(X0,X4)
          & lonely(X0,X4)
          & event(X0,X5)
          & agent(X0,X5,X3)
          & present(X0,X5)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X6)
             => ? [X8,X9] :
                  ( frontseat(X0,X9)
                  & state(X0,X8)
                  & be(X0,X8,X7,X9) ) )
          & two(X0,X6)
          & group(X0,X6)
          & ! [X10] :
              ( member(X0,X10,X6)
             => ( fellow(X0,X10)
                & young(X0,X10) ) ) ) ),
    inference(pure_predicate_removal,[],[f65]) ).

fof(f67,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X1,X2,X3,X4,X5,X6] :
          ( of(X0,X2,X1)
          & city(X0,X1)
          & hollywood_placename(X0,X2)
          & placename(X0,X2)
          & chevy(X0,X3)
          & white(X0,X3)
          & dirty(X0,X3)
          & old(X0,X3)
          & street(X0,X4)
          & lonely(X0,X4)
          & event(X0,X5)
          & agent(X0,X5,X3)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X6)
             => ? [X8,X9] :
                  ( frontseat(X0,X9)
                  & state(X0,X8)
                  & be(X0,X8,X7,X9) ) )
          & two(X0,X6)
          & group(X0,X6)
          & ! [X10] :
              ( member(X0,X10,X6)
             => ( fellow(X0,X10)
                & young(X0,X10) ) ) ) ),
    inference(pure_predicate_removal,[],[f66]) ).

fof(f68,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X1,X2,X3,X4,X5,X6] :
          ( of(X0,X2,X1)
          & city(X0,X1)
          & hollywood_placename(X0,X2)
          & placename(X0,X2)
          & chevy(X0,X3)
          & white(X0,X3)
          & dirty(X0,X3)
          & old(X0,X3)
          & street(X0,X4)
          & lonely(X0,X4)
          & event(X0,X5)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X6)
             => ? [X8,X9] :
                  ( frontseat(X0,X9)
                  & state(X0,X8)
                  & be(X0,X8,X7,X9) ) )
          & two(X0,X6)
          & group(X0,X6)
          & ! [X10] :
              ( member(X0,X10,X6)
             => ( fellow(X0,X10)
                & young(X0,X10) ) ) ) ),
    inference(pure_predicate_removal,[],[f67]) ).

fof(f69,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X1,X2,X3,X4,X5,X6] :
          ( of(X0,X2,X1)
          & city(X0,X1)
          & hollywood_placename(X0,X2)
          & placename(X0,X2)
          & chevy(X0,X3)
          & white(X0,X3)
          & dirty(X0,X3)
          & old(X0,X3)
          & street(X0,X4)
          & event(X0,X5)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X6)
             => ? [X8,X9] :
                  ( frontseat(X0,X9)
                  & state(X0,X8)
                  & be(X0,X8,X7,X9) ) )
          & two(X0,X6)
          & group(X0,X6)
          & ! [X10] :
              ( member(X0,X10,X6)
             => ( fellow(X0,X10)
                & young(X0,X10) ) ) ) ),
    inference(pure_predicate_removal,[],[f68]) ).

fof(f70,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X1,X2,X3,X4,X5,X6] :
          ( of(X0,X2,X1)
          & city(X0,X1)
          & hollywood_placename(X0,X2)
          & placename(X0,X2)
          & chevy(X0,X3)
          & white(X0,X3)
          & old(X0,X3)
          & street(X0,X4)
          & event(X0,X5)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X6)
             => ? [X8,X9] :
                  ( frontseat(X0,X9)
                  & state(X0,X8)
                  & be(X0,X8,X7,X9) ) )
          & two(X0,X6)
          & group(X0,X6)
          & ! [X10] :
              ( member(X0,X10,X6)
             => ( fellow(X0,X10)
                & young(X0,X10) ) ) ) ),
    inference(pure_predicate_removal,[],[f69]) ).

fof(f71,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X1,X2,X3,X4,X5,X6] :
          ( of(X0,X2,X1)
          & city(X0,X1)
          & hollywood_placename(X0,X2)
          & placename(X0,X2)
          & chevy(X0,X3)
          & old(X0,X3)
          & street(X0,X4)
          & event(X0,X5)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X6)
             => ? [X8,X9] :
                  ( frontseat(X0,X9)
                  & state(X0,X8)
                  & be(X0,X8,X7,X9) ) )
          & two(X0,X6)
          & group(X0,X6)
          & ! [X10] :
              ( member(X0,X10,X6)
             => ( fellow(X0,X10)
                & young(X0,X10) ) ) ) ),
    inference(pure_predicate_removal,[],[f70]) ).

fof(f72,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( of(X0,X2,X1)
      & city(X0,X1)
      & hollywood_placename(X0,X2)
      & placename(X0,X2)
      & chevy(X0,X3)
      & old(X0,X3)
      & street(X0,X4)
      & event(X0,X5)
      & barrel(X0,X5)
      & ! [X7] :
          ( member(X0,X7,X6)
         => ? [X8,X9] :
              ( frontseat(X0,X9)
              & state(X0,X8)
              & be(X0,X8,X7,X9) ) )
      & two(X0,X6)
      & group(X0,X6)
      & ! [X10] :
          ( member(X0,X10,X6)
         => ( fellow(X0,X10)
            & young(X0,X10) ) ) ),
    inference(pure_predicate_removal,[],[f71]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( instrumentality(X0,X1)
      | ~ furniture(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( furniture(X0,X1)
      | ~ seat(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( seat(X0,X1)
      | ~ frontseat(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( unisex(X0,X1)
      | ~ object(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( object(X0,X1)
      | ~ artifact(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( artifact(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( male(X0,X1)
      | ~ man(X0,X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( man(X0,X1)
      | ~ fellow(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ male(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f132,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ be(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( two(X0,X1)
    <=> ? [X2] :
          ( member(X0,X2,X1)
          & ? [X3] :
              ( member(X0,X3,X1)
              & X3 != X2
              & ! [X4] :
                  ( X4 = X3
                  | X4 = X2
                  | ~ member(X0,X4,X1) ) ) ) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( two(X0,X1)
    <=> ? [X2] :
          ( member(X0,X2,X1)
          & ? [X3] :
              ( member(X0,X3,X1)
              & X3 != X2
              & ! [X4] :
                  ( X4 = X3
                  | X4 = X2
                  | ~ member(X0,X4,X1) ) ) ) ),
    inference(flattening,[],[f133]) ).

fof(f137,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( of(X0,X2,X1)
      & city(X0,X1)
      & hollywood_placename(X0,X2)
      & placename(X0,X2)
      & chevy(X0,X3)
      & old(X0,X3)
      & street(X0,X4)
      & event(X0,X5)
      & barrel(X0,X5)
      & ! [X7] :
          ( ? [X8,X9] :
              ( frontseat(X0,X9)
              & state(X0,X8)
              & be(X0,X8,X7,X9) )
          | ~ member(X0,X7,X6) )
      & two(X0,X6)
      & group(X0,X6)
      & ! [X10] :
          ( ( fellow(X0,X10)
            & young(X0,X10) )
          | ~ member(X0,X10,X6) ) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ( two(X0,X1)
        | ! [X2] :
            ( ~ member(X0,X2,X1)
            | ! [X3] :
                ( ~ member(X0,X3,X1)
                | X2 = X3
                | ? [X4] :
                    ( X3 != X4
                    & X2 != X4
                    & member(X0,X4,X1) ) ) ) )
      & ( ? [X2] :
            ( member(X0,X2,X1)
            & ? [X3] :
                ( member(X0,X3,X1)
                & X3 != X2
                & ! [X4] :
                    ( X4 = X3
                    | X4 = X2
                    | ~ member(X0,X4,X1) ) ) )
        | ~ two(X0,X1) ) ),
    inference(nnf_transformation,[],[f134]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ( two(X0,X1)
        | ! [X2] :
            ( ~ member(X0,X2,X1)
            | ! [X3] :
                ( ~ member(X0,X3,X1)
                | X2 = X3
                | ? [X4] :
                    ( X3 != X4
                    & X2 != X4
                    & member(X0,X4,X1) ) ) ) )
      & ( ? [X5] :
            ( member(X0,X5,X1)
            & ? [X6] :
                ( member(X0,X6,X1)
                & X5 != X6
                & ! [X7] :
                    ( X6 = X7
                    | X5 = X7
                    | ~ member(X0,X7,X1) ) ) )
        | ~ two(X0,X1) ) ),
    inference(rectify,[],[f138]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ( two(X0,X1)
        | ! [X2] :
            ( ~ member(X0,X2,X1)
            | ! [X3] :
                ( ~ member(X0,X3,X1)
                | X2 = X3
                | ( sK0(X0,X1,X2,X3) != X3
                  & sK0(X0,X1,X2,X3) != X2
                  & member(X0,sK0(X0,X1,X2,X3),X1) ) ) ) )
      & ( ( member(X0,sK1(X0,X1),X1)
          & member(X0,sK2(X0,X1),X1)
          & sK1(X0,X1) != sK2(X0,X1)
          & ! [X7] :
              ( sK2(X0,X1) = X7
              | sK1(X0,X1) = X7
              | ~ member(X0,X7,X1) ) )
        | ~ two(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X4,sK0(X0,X1,X2,X3)),skolemize(X5,sK1(X0,X1)),skolemize(X6,sK2(X0,X1))],[f139]) ).

fof(f141,plain,
    ( of(sK3,sK5,sK4)
    & city(sK3,sK4)
    & hollywood_placename(sK3,sK5)
    & placename(sK3,sK5)
    & chevy(sK3,sK6)
    & old(sK3,sK6)
    & street(sK3,sK7)
    & event(sK3,sK8)
    & barrel(sK3,sK8)
    & ! [X7] :
        ( ( frontseat(sK3,sK11(X7))
          & state(sK3,sK10(X7))
          & be(sK3,sK10(X7),X7,sK11(X7)) )
        | ~ member(sK3,X7,sK9) )
    & two(sK3,sK9)
    & group(sK3,sK9)
    & ! [X10] :
        ( ( fellow(sK3,X10)
          & young(sK3,X10) )
        | ~ member(sK3,X10,sK9) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X8,sK10(X7)),skolemize(X9,sK11(X7))],[f137]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ furniture(X0,X1)
      | instrumentality(X0,X1) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ seat(X0,X1)
      | furniture(X0,X1) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ~ frontseat(X0,X1)
      | seat(X0,X1) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ object(X0,X1)
      | unisex(X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ~ artifact(X0,X1)
      | object(X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ~ instrumentality(X0,X1)
      | artifact(X0,X1) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ~ man(X0,X1)
      | male(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ~ fellow(X0,X1)
      | man(X0,X1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ~ male(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f198,plain,
    ! [X2,X3,X0,X1] :
      ( ~ be(X0,X1,X2,X3)
      | X2 = X3 ),
    inference(cnf_transformation,[],[f132]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( member(X0,sK2(X0,X1),X1)
      | ~ two(X0,X1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f208,plain,
    ! [X10] :
      ( ~ member(sK3,X10,sK9)
      | fellow(sK3,X10) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f210,plain,
    two(sK3,sK9),
    inference(cnf_transformation,[],[f141]) ).

fof(f211,plain,
    ! [X7] :
      ( be(sK3,sK10(X7),X7,sK11(X7))
      | ~ member(sK3,X7,sK9) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f213,plain,
    ! [X7] :
      ( ~ member(sK3,X7,sK9)
      | frontseat(sK3,sK11(X7)) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ member(sK3,X0,sK9)
      | sK11(X0) = X0 ),
    inference(resolution,[],[f198,f211]) ).

fof(f281,plain,
    ( ~ two(sK3,sK9)
    | frontseat(sK3,sK11(sK2(sK3,sK9))) ),
    inference(resolution,[],[f201,f213]) ).

fof(f283,plain,
    ( ~ two(sK3,sK9)
    | fellow(sK3,sK2(sK3,sK9)) ),
    inference(resolution,[],[f201,f208]) ).

fof(f286,plain,
    fellow(sK3,sK2(sK3,sK9)),
    inference(forward_subsumption_resolution,[],[f283,f210]) ).

fof(f288,plain,
    frontseat(sK3,sK11(sK2(sK3,sK9))),
    inference(forward_subsumption_resolution,[],[f281,f210]) ).

fof(f313,plain,
    man(sK3,sK2(sK3,sK9)),
    inference(resolution,[],[f286,f188]) ).

fof(f320,plain,
    seat(sK3,sK11(sK2(sK3,sK9))),
    inference(resolution,[],[f288,f144]) ).

fof(f325,plain,
    male(sK3,sK2(sK3,sK9)),
    inference(resolution,[],[f313,f177]) ).

fof(f326,plain,
    ( sK2(sK3,sK9) = sK11(sK2(sK3,sK9))
    | ~ two(sK3,sK9) ),
    inference(resolution,[],[f279,f201]) ).

fof(f330,plain,
    sK2(sK3,sK9) = sK11(sK2(sK3,sK9)),
    inference(forward_subsumption_resolution,[],[f326,f210]) ).

fof(f341,plain,
    ~ unisex(sK3,sK2(sK3,sK9)),
    inference(resolution,[],[f325,f195]) ).

fof(f346,plain,
    furniture(sK3,sK11(sK2(sK3,sK9))),
    inference(resolution,[],[f320,f143]) ).

fof(f392,plain,
    furniture(sK3,sK2(sK3,sK9)),
    inference(forward_demodulation,[],[f346,f330]) ).

fof(f393,plain,
    instrumentality(sK3,sK2(sK3,sK9)),
    inference(resolution,[],[f392,f142]) ).

fof(f397,plain,
    artifact(sK3,sK2(sK3,sK9)),
    inference(resolution,[],[f393,f161]) ).

fof(f430,plain,
    object(sK3,sK2(sK3,sK9)),
    inference(resolution,[],[f397,f160]) ).

fof(f440,plain,
    unisex(sK3,sK2(sK3,sK9)),
    inference(resolution,[],[f430,f157]) ).

fof(f441,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f440,f341]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NLP145+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n013.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 18:09:07 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  Running first-order model finding
% 0.11/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.47  % (465641)Will run a generic schedule for satisfiability detection.
% 0.16/0.47  % (465649)dis+10_1_sil=32000:sp=arity:random_seed=1800360760:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47  % (465647)% WARNING: option uhcvi not known.
% 0.16/0.47  % (465649) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-465641-465649"...
% 0.16/0.47  % (465649)...printing done.
% 0.16/0.47  % (465649)Refutation found. Thanks to Tanya!
% 0.16/0.47  % SZS status Theorem for theBenchmark
% 0.16/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47  % (465649)------------------------------
% 0.16/0.47  % (465649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47  % (465649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47  % (465649)CaDiCaL version: 2.1.3
% 0.16/0.47  % (465649)Termination reason: Refutation
% 0.16/0.47  % (465649)Time elapsed: 0.005 s
% 0.16/0.47  % (465649)Peak memory usage: 12 MB
% 0.16/0.47  % (465649)Instructions burned: 14 (million)
% 0.16/0.47  % (465641)Success in time 0.036 s
% 0.16/0.47  % Vampire exiting
%------------------------------------------------------------------------------