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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NLP141+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p 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 : Fri Sep 25 02:16:34 PM UTC 2026

% Result   : Theorem 2.93s 1.26s
% Output   : CNFRefutation 2.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  100 (   7 unt;   0 def)
%            Number of atoms       :  532 (  62 equ)
%            Maximal formula atoms :   27 (   5 avg)
%            Number of connectives :  568 ( 136   ~; 119   |; 277   &)
%                                         (   3 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   35 (  33 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-4 aty)
%            Number of variables   :  311 (   0 sgn 203   !; 108   ?;  82   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f140,plain,
    ! [X0,X1] :
      ( ( ~ two(X0,X1)
        | ( ! [X7] :
              ( ~ member(X0,X7,X1)
              | sK1(X0,X1) = X7
              | sK2(X0,X1) = X7 )
          & sK1(X0,X1) != sK2(X0,X1)
          & member(X0,sK2(X0,X1),X1)
          & member(X0,sK1(X0,X1),X1) ) )
      & ( ! [X2] :
            ( ! [X3] :
                ( ( member(X0,sK0(X0,X1,X2,X3),X1)
                  & sK0(X0,X1,X2,X3) != X2
                  & sK0(X0,X1,X2,X3) != X3 )
                | X2 = X3
                | ~ member(X0,X3,X1) )
            | ~ member(X0,X2,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,
    ( ! [X9] :
        ( ~ member(sK3,X9,sK8)
        | ( young(sK3,X9)
          & fellow(sK3,X9) ) )
    & group(sK3,sK8)
    & two(sK3,sK8)
    & ! [X6] :
        ( ~ member(sK3,X6,sK8)
        | ( be(sK3,sK9(X6),X6,sK10(X6))
          & state(sK3,sK9(X6))
          & frontseat(sK3,sK10(X6)) ) )
    & barrel(sK3,sK7)
    & event(sK3,sK7)
    & street(sK3,sK6)
    & placename(sK3,sK5)
    & hollywood_placename(sK3,sK5)
    & city(sK3,sK6)
    & of(sK3,sK5,sK6)
    & old(sK3,sK4)
    & chevy(sK3,sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X7,sK9(X6)),skolemize(X8,sK10(X6))],[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] :
      ( ~ unisex(X0,X1)
      | ~ male(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] :
      ( ~ two(X0,X1)
      | member(X0,sK2(X0,X1),X1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f208,plain,
    ! [X9] :
      ( ~ member(sK3,X9,sK8)
      | fellow(sK3,X9) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f210,plain,
    two(sK3,sK8),
    inference(cnf_transformation,[],[f141]) ).

fof(f211,plain,
    ! [X6] :
      ( ~ member(sK3,X6,sK8)
      | be(sK3,sK9(X6),X6,sK10(X6)) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f213,plain,
    ! [X6] :
      ( ~ member(sK3,X6,sK8)
      | frontseat(sK3,sK10(X6)) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] :
      ( instrumentality(X0,X1)
      | ~ furniture(X0,X1) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( furniture(X0,X1)
      | ~ seat(X0,X1) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( seat(X0,X1)
      | ~ frontseat(X0,X1) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( unisex(X0,X1)
      | ~ object(X0,X1) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] :
      ( object(X0,X1)
      | ~ artifact(X0,X1) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] :
      ( artifact(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_84,plain,
    ! [X0: $i,X1: $i] :
      ( male(X0,X1)
      | ~ man(X0,X1) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_95,plain,
    ! [X0: $i,X1: $i] :
      ( man(X0,X1)
      | ~ fellow(X0,X1) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_102,plain,
    ! [X0: $i,X1: $i] :
      ( ~ male(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_105,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = X3 )
      | ~ be(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_110,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,sK2(X0,X1),X1)
      | ~ two(X0,X1) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_123,negated_conjecture,
    ! [X0: $i] :
      ( frontseat(sK3,sK10(X0))
      | ~ member(sK3,X0,sK8) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_125,negated_conjecture,
    ! [X0: $i] :
      ( be(sK3,sK9(X0),X0,sK10(X0))
      | ~ member(sK3,X0,sK8) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_126,negated_conjecture,
    two(sK3,sK8),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_128,negated_conjecture,
    ! [X0: $i] :
      ( fellow(sK3,X0)
      | ~ member(sK3,X0,sK8) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_914,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( instrumentality(X1,X3)
      | ~ seat(X0,X2)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_49]) ).

tcf(c_915,plain,
    ! [X0: $i,X1: $i] :
      ( instrumentality(X0,X1)
      | ~ seat(X0,X1) ),
    inference(unflattening,[status(thm)],[c_914]) ).

tcf(c_925,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( instrumentality(X1,X3)
      | ~ frontseat(X0,X2)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_915]) ).

tcf(c_926,plain,
    ! [X0: $i,X1: $i] :
      ( instrumentality(X0,X1)
      | ~ frontseat(X0,X1) ),
    inference(unflattening,[status(thm)],[c_925]) ).

tcf(c_936,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( instrumentality(X0,X2)
      | ~ member(sK3,X1,sK8)
      | ( X0 != sK3 )
      | ( sK10(X1) != X2 ) ),
    inference(resolution_lifted,[status(thm)],[c_926,c_123]) ).

tcf(c_937,plain,
    ! [X0: $i] :
      ( instrumentality(sK3,sK10(X0))
      | ~ member(sK3,X0,sK8) ),
    inference(unflattening,[status(thm)],[c_936]) ).

tcf(c_1024,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ man(X0,X2)
      | ~ unisex(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_84,c_102]) ).

tcf(c_1025,plain,
    ! [X0: $i,X1: $i] :
      ( ~ man(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(unflattening,[status(thm)],[c_1024]) ).

tcf(c_1090,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( man(X0,X1)
      | ~ member(sK3,X2,sK8)
      | ( X1 != X2 )
      | ( X0 != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_95,c_128]) ).

tcf(c_1091,plain,
    ! [X0: $i] :
      ( man(sK3,X0)
      | ~ member(sK3,X0,sK8) ),
    inference(unflattening,[status(thm)],[c_1090]) ).

tcf(c_1101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X3 = X4 )
      | ~ member(sK3,X1,sK8)
      | ( X1 != X3 )
      | ( X0 != sK3 )
      | ( sK9(X1) != X2 )
      | ( sK10(X1) != X4 ) ),
    inference(resolution_lifted,[status(thm)],[c_105,c_125]) ).

tcf(c_1102,plain,
    ! [X0: $i] :
      ( ( X0 = sK10(X0) )
      | ~ member(sK3,X0,sK8) ),
    inference(unflattening,[status(thm)],[c_1101]) ).

tcf(c_1117,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( artifact(X0,X2)
      | ~ member(sK3,X1,sK8)
      | ( X0 != sK3 )
      | ( sK10(X1) != X2 ) ),
    inference(resolution_lifted,[status(thm)],[c_68,c_937]) ).

tcf(c_1118,plain,
    ! [X0: $i] :
      ( artifact(sK3,sK10(X0))
      | ~ member(sK3,X0,sK8) ),
    inference(unflattening,[status(thm)],[c_1117]) ).

tcf(c_1172,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( object(X0,X2)
      | ~ member(sK3,X1,sK8)
      | ( X0 != sK3 )
      | ( sK10(X1) != X2 ) ),
    inference(resolution_lifted,[status(thm)],[c_67,c_1118]) ).

tcf(c_1173,plain,
    ! [X0: $i] :
      ( object(sK3,sK10(X0))
      | ~ member(sK3,X0,sK8) ),
    inference(unflattening,[status(thm)],[c_1172]) ).

tcf(c_1228,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ unisex(X0,X1)
      | ~ member(sK3,X2,sK8)
      | ( X1 != X2 )
      | ( X0 != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_1025,c_1091]) ).

tcf(c_1229,plain,
    ! [X0: $i] :
      ( ~ unisex(sK3,X0)
      | ~ member(sK3,X0,sK8) ),
    inference(unflattening,[status(thm)],[c_1228]) ).

tcf(c_1272,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ object(X0,X1)
      | ~ member(sK3,X2,sK8)
      | ( X1 != X2 )
      | ( X0 != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_64,c_1229]) ).

tcf(c_1273,plain,
    ! [X0: $i] :
      ( ~ object(sK3,X0)
      | ~ member(sK3,X0,sK8) ),
    inference(unflattening,[status(thm)],[c_1272]) ).

tcf(c_1337,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(sK3,X1,sK8)
      | ~ member(sK3,X0,sK8)
      | ( sK3 != sK3 )
      | ( sK10(X0) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_1173,c_1273]) ).

tcf(c_1338,plain,
    ! [X0: $i] :
      ( ~ member(sK3,X0,sK8)
      | ~ member(sK3,sK10(X0),sK8) ),
    inference(unflattening,[status(thm)],[c_1337]) ).

tcf(c_2145,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,sK2(X0,X1),X1)
      | ( X1 != sK8 )
      | ( X0 != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_110,c_126]) ).

tcf(c_2146,plain,
    member(sK3,sK2(sK3,sK8),sK8),
    inference(unflattening,[status(thm)],[c_2145]) ).

tcf(c_3518,plain,
    ! [X0: $i] :
      ( ~ member(sK3,X0,sK8)
      | ~ member(sK3,sK10(X0),sK8) ),
    inference(demodulation,[status(thm)],[c_1338]) ).

tcf(c_3524,plain,
    ! [X0: $i] :
      ( ( X0 = sK10(X0) )
      | ~ member(sK3,X0,sK8) ),
    inference(demodulation,[status(thm)],[c_1102]) ).

tcf(c_3526,negated_conjecture,
    two(sK3,sK8),
    inference(demodulation,[status(thm)],[c_126]) ).

tcf(c_3945,plain,
    ( ( sK10(sK2(sK3,sK8)) = sK2(sK3,sK8) )
    | ~ two(sK3,sK8) ),
    inference(superposition,[status(thm)],[c_110,c_3524]) ).

tcf(c_3946,plain,
    sK10(sK2(sK3,sK8)) = sK2(sK3,sK8),
    inference(forward_subsumption_resolution,[status(thm)],[c_3945,c_3526]) ).

tcf(c_4100,plain,
    ~ member(sK3,sK2(sK3,sK8),sK8),
    inference(superposition,[status(thm)],[c_3946,c_3518]) ).

tcf(c_4101,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4100,c_2146]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NLP141+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35  % Computer : n017.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Thu Sep 24 02:01:00 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40  
% 0.13/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40  
% 0.13/0.40  % Detected problem language: tptp
% 0.13/0.41  % Proving...
% 2.93/1.26  % SZS status Started for theBenchmark.p
% 2.93/1.26  % SZS status Theorem for theBenchmark.p
% 2.93/1.26  
% 2.93/1.26  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.93/1.26  
% 2.93/1.26  % ------  iProver source info
% 2.93/1.26  
% 2.93/1.26  % git: date: 2026-07-19 20:42:38 +0200
% 2.93/1.26  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.93/1.26  % git: non_committed_changes: false
% 2.93/1.26  
% 2.93/1.26  % ------ Parsing...
% 2.93/1.26  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.93/1.26  
% 2.93/1.26  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e  sup_sim: 0  sf_s  rm: 14 0s  sf_e  pe_s  pe_e % 
% 2.93/1.26  
% 2.93/1.26  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.93/1.26  
% 2.93/1.26  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.93/1.26  % ------ Proving...
% 2.93/1.26  % ------ Problem Properties 
% 2.93/1.26  
% 2.93/1.26  % 
% 2.93/1.26  % clauses                               36
% 2.93/1.26  % conjectures                           3
% 2.93/1.26  % EPR                                   21
% 2.93/1.26  % Horn                                  32
% 2.93/1.26  % unary                                 15
% 2.93/1.26  % binary                                16
% 2.93/1.26  % lits                                  72
% 2.93/1.26  % lits eq                               12
% 2.93/1.26  % fd_pure                               0
% 2.93/1.26  % fd_pseudo                             0
% 2.93/1.26  % fd_cond                               0
% 2.93/1.26  % fd_pseudo_cond                        5
% 2.93/1.26  % AC symbols                            0
% 2.93/1.26  
% 2.93/1.26  % ------ Schedule dynamic 5 is on 
% 2.93/1.26  
% 2.93/1.26  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.93/1.26  
% 2.93/1.26  
% 2.93/1.26  % ------ 
% 2.93/1.26  % Current options:
% 2.93/1.26  % ------ 
% 2.93/1.26  
% 2.93/1.26  
% 2.93/1.26  % 
% 2.93/1.26  
% 2.93/1.26  % ------ Proving...
% 2.93/1.26  % 
% 2.93/1.26  
% 2.93/1.26  % SZS status Theorem for theBenchmark.p
% 2.93/1.26  
% 2.93/1.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.93/1.27  
% 2.93/1.27  
%------------------------------------------------------------------------------