↑ Up

FindProof---0.1.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : NLP204+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% 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 02:14:57 PM UTC 2026

% Result   : Theorem 4.25s 1.11s
% Output   : Proof 4.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   54 (  14 unt;   0 def)
%            Number of atoms       :  278 (   5 equ)
%            Maximal formula atoms :   48 (   5 avg)
%            Number of connectives :  269 (  45   ~;  37   |; 168   &)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   52 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   45 (  43 usr;   1 prp; 0-4 aty)
%            Number of functors    :   15 (  15 usr;  12 con; 0-2 aty)
%            Number of variables   :  145 (   2 sgn  80   !;  45   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70,axiom,
    ! [U,V,W,X] :
      ( be(U,V,W,X)
     => W = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).

fof(f70_nnf,plain,
    ! [U,V,W,X] :
      ( W = X
      | ~ be(U,V,W,X) ),
    inference(nnf_transformation,[status(thm)],[f70]) ).

fof(f70_sk,plain,
    ! [U,V,W,X] :
      ( W = X
      | ~ be(U,V,W,X) ),
    inference(skolemisation,[status(esa)],[f70_nnf]) ).

cnf(c76,plain,
    ( X2 = X3
    | ~ be(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f70_sk]) ).

fof(f71,conjecture,
    ~ ? [U] :
        ( ? [V,W,X,Y,Z,X1,X2,X3,X4,X5,X6] :
            ( behind(U,X6,X6)
            & be(U,X5,V,X6)
            & state(U,X5)
            & wheel(U,X6)
            & ! [X14] :
                ( member(U,X14,X4)
               => ( cheap(U,X14)
                  & black(U,X14)
                  & coat(U,X14) ) )
            & group(U,X4)
            & ! [X11] :
                ( member(U,X11,X4)
               => ! [X12] :
                    ( member(U,X12,X3)
                   => ? [X13] :
                        ( wear(U,X13)
                        & nonreflexive(U,X13)
                        & present(U,X13)
                        & patient(U,X13,X11)
                        & agent(U,X13,X12)
                        & event(U,X13) ) ) )
            & ! [X10] :
                ( member(U,X10,X3)
               => ( young(U,X10)
                  & fellow(U,X10) ) )
            & group(U,X3)
            & two(U,X3)
            & ! [X7] :
                ( member(U,X7,X3)
               => ? [X8,X9] :
                    ( in(U,X9,X)
                    & be(U,X8,X7,X9)
                    & state(U,X8) ) )
            & in(U,X2,X1)
            & down(U,X2,X1)
            & barrel(U,X2)
            & present(U,X2)
            & agent(U,X2,Y)
            & event(U,X2)
            & lonely(U,X1)
            & street(U,X1)
            & placename(U,Z)
            & hollywood_placename(U,Z)
            & city(U,X1)
            & of(U,Z,X1)
            & old(U,Y)
            & dirty(U,Y)
            & white(U,Y)
            & chevy(U,Y)
            & frontseat(U,X)
            & forename(U,W)
            & jules_forename(U,W)
            & man(U,V)
            & of(U,W,V) )
        & actual_world(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f71_neg,negated_conjecture,
    ~ ~ ? [U] :
          ( ? [V,W,X,Y,Z,X1,X2,X3,X4,X5,X6] :
              ( behind(U,X6,X6)
              & be(U,X5,V,X6)
              & state(U,X5)
              & wheel(U,X6)
              & ! [X14] :
                  ( member(U,X14,X4)
                 => ( cheap(U,X14)
                    & black(U,X14)
                    & coat(U,X14) ) )
              & group(U,X4)
              & ! [X11] :
                  ( member(U,X11,X4)
                 => ! [X12] :
                      ( member(U,X12,X3)
                     => ? [X13] :
                          ( wear(U,X13)
                          & nonreflexive(U,X13)
                          & present(U,X13)
                          & patient(U,X13,X11)
                          & agent(U,X13,X12)
                          & event(U,X13) ) ) )
              & ! [X10] :
                  ( member(U,X10,X3)
                 => ( young(U,X10)
                    & fellow(U,X10) ) )
              & group(U,X3)
              & two(U,X3)
              & ! [X7] :
                  ( member(U,X7,X3)
                 => ? [X8,X9] :
                      ( in(U,X9,X)
                      & be(U,X8,X7,X9)
                      & state(U,X8) ) )
              & in(U,X2,X1)
              & down(U,X2,X1)
              & barrel(U,X2)
              & present(U,X2)
              & agent(U,X2,Y)
              & event(U,X2)
              & lonely(U,X1)
              & street(U,X1)
              & placename(U,Z)
              & hollywood_placename(U,Z)
              & city(U,X1)
              & of(U,Z,X1)
              & old(U,Y)
              & dirty(U,Y)
              & white(U,Y)
              & chevy(U,Y)
              & frontseat(U,X)
              & forename(U,W)
              & jules_forename(U,W)
              & man(U,V)
              & of(U,W,V) )
          & actual_world(U) ),
    inference(negated_conjecture,[status(cth)],[f71]) ).

fof(f71_nnf,plain,
    ? [U] :
      ( ? [V,W,X,Y,Z,X1,X2,X3,X4,X5,X6] :
          ( behind(U,X6,X6)
          & be(U,X5,V,X6)
          & state(U,X5)
          & wheel(U,X6)
          & ! [X14] :
              ( ( cheap(U,X14)
                & black(U,X14)
                & coat(U,X14) )
              | ~ member(U,X14,X4) )
          & group(U,X4)
          & ! [X11] :
              ( ! [X12] :
                  ( ? [X13] :
                      ( wear(U,X13)
                      & nonreflexive(U,X13)
                      & present(U,X13)
                      & patient(U,X13,X11)
                      & agent(U,X13,X12)
                      & event(U,X13) )
                  | ~ member(U,X12,X3) )
              | ~ member(U,X11,X4) )
          & ! [X10] :
              ( ( young(U,X10)
                & fellow(U,X10) )
              | ~ member(U,X10,X3) )
          & group(U,X3)
          & two(U,X3)
          & ! [X7] :
              ( ? [X8,X9] :
                  ( in(U,X9,X)
                  & be(U,X8,X7,X9)
                  & state(U,X8) )
              | ~ member(U,X7,X3) )
          & in(U,X2,X1)
          & down(U,X2,X1)
          & barrel(U,X2)
          & present(U,X2)
          & agent(U,X2,Y)
          & event(U,X2)
          & lonely(U,X1)
          & street(U,X1)
          & placename(U,Z)
          & hollywood_placename(U,Z)
          & city(U,X1)
          & of(U,Z,X1)
          & old(U,Y)
          & dirty(U,Y)
          & white(U,Y)
          & chevy(U,Y)
          & frontseat(U,X)
          & forename(U,W)
          & jules_forename(U,W)
          & man(U,V)
          & of(U,W,V) )
      & actual_world(U) ),
    inference(nnf_transformation,[status(thm)],[f71_neg]) ).

fof(f71_sk,plain,
    ! [X7,X10,X11,X12,X14] :
      ( behind(sk3,sk14,sk14)
      & be(sk3,sk13,sk4,sk14)
      & state(sk3,sk13)
      & wheel(sk3,sk14)
      & ( ( cheap(sk3,X14)
          & black(sk3,X14)
          & coat(sk3,X14) )
        | ~ member(sk3,X14,sk12) )
      & group(sk3,sk12)
      & ( ( wear(sk3,sk17(X11,X12))
          & nonreflexive(sk3,sk17(X11,X12))
          & present(sk3,sk17(X11,X12))
          & patient(sk3,sk17(X11,X12),X11)
          & agent(sk3,sk17(X11,X12),X12)
          & event(sk3,sk17(X11,X12)) )
        | ~ member(sk3,X12,sk11)
        | ~ member(sk3,X11,sk12) )
      & ( ( young(sk3,X10)
          & fellow(sk3,X10) )
        | ~ member(sk3,X10,sk11) )
      & group(sk3,sk11)
      & two(sk3,sk11)
      & ( ( in(sk3,sk16(X7),sk6)
          & be(sk3,sk15(X7),X7,sk16(X7))
          & state(sk3,sk15(X7)) )
        | ~ member(sk3,X7,sk11) )
      & in(sk3,sk10,sk9)
      & down(sk3,sk10,sk9)
      & barrel(sk3,sk10)
      & present(sk3,sk10)
      & agent(sk3,sk10,sk7)
      & event(sk3,sk10)
      & lonely(sk3,sk9)
      & street(sk3,sk9)
      & placename(sk3,sk8)
      & hollywood_placename(sk3,sk8)
      & city(sk3,sk9)
      & of(sk3,sk8,sk9)
      & old(sk3,sk7)
      & dirty(sk3,sk7)
      & white(sk3,sk7)
      & chevy(sk3,sk7)
      & frontseat(sk3,sk6)
      & forename(sk3,sk5)
      & jules_forename(sk3,sk5)
      & man(sk3,sk4)
      & of(sk3,sk5,sk4)
      & actual_world(sk3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk3,sk4,sk5,sk6,sk7,sk8,sk9,sk10,sk11,sk12,sk13,sk14,sk15,sk16,sk17])],[f71_nnf]) ).

cnf(c118,plain,
    be(sk3,sk13,sk4,sk14),
    inference(cnf_transformation,[status(esa)],[f71_sk]) ).

cnf(p312,plain,
    sk4 = sk14,
    inference(resolution,[status(thm)],[c76,c118]) ).

fof(f47,axiom,
    ! [U,V] :
      ( wheel(U,V)
     => device(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

fof(f47_nnf,plain,
    ! [U,V] :
      ( device(U,V)
      | ~ wheel(U,V) ),
    inference(nnf_transformation,[status(thm)],[f47]) ).

fof(f47_sk,plain,
    ! [U,V] :
      ( device(U,V)
      | ~ wheel(U,V) ),
    inference(skolemisation,[status(esa)],[f47_nnf]) ).

cnf(c47,plain,
    ( device(X0,X1)
    | ~ wheel(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f47_sk]) ).

cnf(c116,plain,
    wheel(sk3,sk14),
    inference(cnf_transformation,[status(esa)],[f71_sk]) ).

cnf(p179,plain,
    device(sk3,sk14),
    inference(resolution,[status(thm)],[c47,c116]) ).

fof(f46,axiom,
    ! [U,V] :
      ( device(U,V)
     => instrumentality(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).

fof(f46_nnf,plain,
    ! [U,V] :
      ( instrumentality(U,V)
      | ~ device(U,V) ),
    inference(nnf_transformation,[status(thm)],[f46]) ).

fof(f46_sk,plain,
    ! [U,V] :
      ( instrumentality(U,V)
      | ~ device(U,V) ),
    inference(skolemisation,[status(esa)],[f46_nnf]) ).

cnf(c46,plain,
    ( instrumentality(X0,X1)
    | ~ device(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f46_sk]) ).

cnf(p187,plain,
    instrumentality(sk3,sk14),
    inference(resolution,[status(thm)],[p179,c46]) ).

fof(f45,axiom,
    ! [U,V] :
      ( instrumentality(U,V)
     => artifact(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

fof(f45_nnf,plain,
    ! [U,V] :
      ( artifact(U,V)
      | ~ instrumentality(U,V) ),
    inference(nnf_transformation,[status(thm)],[f45]) ).

fof(f45_sk,plain,
    ! [U,V] :
      ( artifact(U,V)
      | ~ instrumentality(U,V) ),
    inference(skolemisation,[status(esa)],[f45_nnf]) ).

cnf(c45,plain,
    ( artifact(X0,X1)
    | ~ instrumentality(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f45_sk]) ).

cnf(p190,plain,
    artifact(sk3,sk14),
    inference(resolution,[status(thm)],[p187,c45]) ).

fof(f44,axiom,
    ! [U,V] :
      ( artifact(U,V)
     => object(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

fof(f44_nnf,plain,
    ! [U,V] :
      ( object(U,V)
      | ~ artifact(U,V) ),
    inference(nnf_transformation,[status(thm)],[f44]) ).

fof(f44_sk,plain,
    ! [U,V] :
      ( object(U,V)
      | ~ artifact(U,V) ),
    inference(skolemisation,[status(esa)],[f44_nnf]) ).

cnf(c44,plain,
    ( object(X0,X1)
    | ~ artifact(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f44_sk]) ).

cnf(p193,plain,
    object(sk3,sk14),
    inference(resolution,[status(thm)],[p190,c44]) ).

fof(f39,axiom,
    ! [U,V] :
      ( object(U,V)
     => nonliving(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

fof(f39_nnf,plain,
    ! [U,V] :
      ( nonliving(U,V)
      | ~ object(U,V) ),
    inference(nnf_transformation,[status(thm)],[f39]) ).

fof(f39_sk,plain,
    ! [U,V] :
      ( nonliving(U,V)
      | ~ object(U,V) ),
    inference(skolemisation,[status(esa)],[f39_nnf]) ).

cnf(c39,plain,
    ( nonliving(X0,X1)
    | ~ object(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f39_sk]) ).

cnf(p200,plain,
    nonliving(sk3,sk14),
    inference(resolution,[status(thm)],[p193,c39]) ).

cnf(p322,plain,
    nonliving(sk3,sk4),
    inference(superposition,[status(thm)],[p312,p200]) ).

fof(f56,axiom,
    ! [U,V] :
      ( animate(U,V)
     => ~ nonliving(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

fof(f56_nnf,plain,
    ! [U,V] :
      ( ~ nonliving(U,V)
      | ~ animate(U,V) ),
    inference(nnf_transformation,[status(thm)],[f56]) ).

fof(f56_sk,plain,
    ! [U,V] :
      ( ~ nonliving(U,V)
      | ~ animate(U,V) ),
    inference(skolemisation,[status(esa)],[f56_nnf]) ).

cnf(c56,plain,
    ( ~ nonliving(X0,X1)
    | ~ animate(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f56_sk]) ).

fof(f30,axiom,
    ! [U,V] :
      ( man(U,V)
     => human_person(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).

fof(f30_nnf,plain,
    ! [U,V] :
      ( human_person(U,V)
      | ~ man(U,V) ),
    inference(nnf_transformation,[status(thm)],[f30]) ).

fof(f30_sk,plain,
    ! [U,V] :
      ( human_person(U,V)
      | ~ man(U,V) ),
    inference(skolemisation,[status(esa)],[f30_nnf]) ).

cnf(c30,plain,
    ( human_person(X0,X1)
    | ~ man(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f30_sk]) ).

cnf(c79,plain,
    man(sk3,sk4),
    inference(cnf_transformation,[status(esa)],[f71_sk]) ).

cnf(p146,plain,
    human_person(sk3,sk4),
    inference(resolution,[status(thm)],[c30,c79]) ).

fof(f24,axiom,
    ! [U,V] :
      ( human_person(U,V)
     => animate(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f24_nnf,plain,
    ! [U,V] :
      ( animate(U,V)
      | ~ human_person(U,V) ),
    inference(nnf_transformation,[status(thm)],[f24]) ).

fof(f24_sk,plain,
    ! [U,V] :
      ( animate(U,V)
      | ~ human_person(U,V) ),
    inference(skolemisation,[status(esa)],[f24_nnf]) ).

cnf(c24,plain,
    ( animate(X0,X1)
    | ~ human_person(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(p147,plain,
    animate(sk3,sk4),
    inference(resolution,[status(thm)],[p146,c24]) ).

cnf(p214,plain,
    ~ nonliving(sk3,sk4),
    inference(resolution,[status(thm)],[c56,p147]) ).

cnf(p326,plain,
    $false,
    inference(resolution,[status(thm)],[p322,p214]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NLP204+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.38  % Computer : n017.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Thu Sep 24 02:16:15 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.25/1.11  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.25/1.11  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------