%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NLP147+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 : Sun Sep 27 08:07:44 AM UTC 2026
% Result : Theorem 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 53 ( 7 unt; 0 def)
% Number of atoms : 280 ( 27 equ)
% Maximal formula atoms : 31 ( 5 avg)
% Number of connectives : 300 ( 73 ~; 69 |; 141 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 147 ( 2 sgn 72 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
! [U,V] :
( furniture(U,V)
=> instrumentality(U,V) ),
file('theBenchmark.p',ax1) ).
fof(ax2,axiom,
! [U,V] :
( seat(U,V)
=> furniture(U,V) ),
file('theBenchmark.p',ax2) ).
fof(ax3,axiom,
! [U,V] :
( frontseat(U,V)
=> seat(U,V) ),
file('theBenchmark.p',ax3) ).
fof(ax18,axiom,
! [U,V] :
( object(U,V)
=> nonliving(U,V) ),
file('theBenchmark.p',ax18) ).
fof(ax20,axiom,
! [U,V] :
( artifact(U,V)
=> object(U,V) ),
file('theBenchmark.p',ax20) ).
fof(ax21,axiom,
! [U,V] :
( instrumentality(U,V)
=> artifact(U,V) ),
file('theBenchmark.p',ax21) ).
fof(ax38,axiom,
! [U,V] :
( human_person(U,V)
=> animate(U,V) ),
file('theBenchmark.p',ax38) ).
fof(ax48,axiom,
! [U,V] :
( man(U,V)
=> human_person(U,V) ),
file('theBenchmark.p',ax48) ).
fof(ax49,axiom,
! [U,V] :
( fellow(U,V)
=> man(U,V) ),
file('theBenchmark.p',ax49) ).
fof(ax50,axiom,
! [U,V] :
( animate(U,V)
=> ~ nonliving(U,V) ),
file('theBenchmark.p',ax50) ).
fof(ax59,axiom,
! [U,V,W,X] :
( be(U,V,W,X)
=> W = X ),
file('theBenchmark.p',ax59) ).
fof(ax60,axiom,
! [U,V] :
( two(U,V)
<=> ? [W] :
( ? [X] :
( ! [Y] :
( member(U,Y,V)
=> ( Y = W
| Y = X ) )
& X != W
& member(U,X,V) )
& member(U,W,V) ) ),
file('theBenchmark.p',ax60) ).
fof(co1,conjecture,
~ ? [U] :
( ? [V,W,X,Y,Z] :
( ! [X4] :
( member(U,X4,Z)
=> ( young(U,X4)
& fellow(U,X4) ) )
& group(U,Z)
& two(U,Z)
& ! [X1] :
( member(U,X1,Z)
=> ? [X2,X3] :
( in(U,X3,X3)
& be(U,X2,X1,X3)
& state(U,X2)
& frontseat(U,X3) ) )
& in(U,Y,X)
& down(U,Y,V)
& barrel(U,Y)
& present(U,Y)
& agent(U,Y,X)
& event(U,Y)
& old(U,X)
& dirty(U,X)
& white(U,X)
& chevy(U,X)
& placename(U,W)
& hollywood_placename(U,W)
& city(U,X)
& of(U,W,X)
& lonely(U,V)
& street(U,V) )
& actual_world(U) ),
file('theBenchmark.p',co1) ).
fof(co1_neg,negated_conjecture,
~ ~ ? [U] :
( ? [V,W,X,Y,Z] :
( ! [X4] :
( member(U,X4,Z)
=> ( young(U,X4)
& fellow(U,X4) ) )
& group(U,Z)
& two(U,Z)
& ! [X1] :
( member(U,X1,Z)
=> ? [X2,X3] :
( in(U,X3,X3)
& be(U,X2,X1,X3)
& state(U,X2)
& frontseat(U,X3) ) )
& in(U,Y,X)
& down(U,Y,V)
& barrel(U,Y)
& present(U,Y)
& agent(U,Y,X)
& event(U,Y)
& old(U,X)
& dirty(U,X)
& white(U,X)
& chevy(U,X)
& placename(U,W)
& hollywood_placename(U,W)
& city(U,X)
& of(U,W,X)
& lonely(U,V)
& street(U,V) )
& actual_world(U) ),
inference(assume_negation,[status(cth)],[co1]) ).
cnf(c_63,plain,
( furniture(A,B)
| ~ seat(A,B) ),
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_64,plain,
( instrumentality(A,B)
| ~ furniture(A,B) ),
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_65,plain,
( artifact(A,B)
| ~ instrumentality(A,B) ),
inference(clausify,[status(thm)],[ax21]) ).
cnf(c_67,plain,
( instrumentality(A,B)
| ~ seat(A,B) ),
inference(resolve,[status(thm)],[c_63,c_64]) ).
cnf(c_68,plain,
( seat(A,B)
| ~ frontseat(A,B) ),
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_69,plain,
( ~ seat(A,B)
| artifact(A,B) ),
inference(resolve,[status(thm)],[c_65,c_67]) ).
fof(nnf_62,plain,
? [U] :
( ? [V,W,X,Y,Z] :
( ! [X4] :
( ( young(U,X4)
& fellow(U,X4) )
| ~ member(U,X4,Z) )
& group(U,Z)
& two(U,Z)
& ! [X1] :
( ? [X2,X3] :
( in(U,X3,X3)
& be(U,X2,X1,X3)
& state(U,X2)
& frontseat(U,X3) )
| ~ member(U,X1,Z) )
& in(U,Y,X)
& down(U,Y,V)
& barrel(U,Y)
& present(U,Y)
& agent(U,Y,X)
& event(U,Y)
& old(U,X)
& dirty(U,X)
& white(U,X)
& chevy(U,X)
& placename(U,W)
& hollywood_placename(U,W)
& city(U,X)
& of(U,W,X)
& lonely(U,V)
& street(U,V) )
& actual_world(U) ),
inference(fof_nnf,[status(thm)],[co1_neg]) ).
fof(sk_co1_neg_sk,plain,
( ! [X4] :
( ( young(sK0,X4)
& fellow(sK0,X4) )
| ~ member(sK0,X4,sK1) )
& group(sK0,sK1)
& two(sK0,sK1)
& ! [X1] :
( ( in(sK0,sK2(X1),sK2(X1))
& be(sK0,sK4(X1),X1,sK2(X1))
& state(sK0,sK4(X1))
& frontseat(sK0,sK2(X1)) )
| ~ member(sK0,X1,sK1) )
& in(sK0,sK8,sK7)
& down(sK0,sK8,sK5)
& barrel(sK0,sK8)
& present(sK0,sK8)
& agent(sK0,sK8,sK7)
& event(sK0,sK8)
& old(sK0,sK7)
& dirty(sK0,sK7)
& white(sK0,sK7)
& chevy(sK0,sK7)
& placename(sK0,sK6)
& hollywood_placename(sK0,sK6)
& city(sK0,sK7)
& of(sK0,sK6,sK7)
& lonely(sK0,sK5)
& street(sK0,sK5)
& actual_world(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK5,sK6,sK7,sK8,sK1,sK2,sK4]),skolemize(U,sK0),skolemize(V,sK5),skolemize(W,sK6),skolemize(X,sK7),skolemize(Y,sK8),skolemize(Z,sK1),skolemize(X2,sK4(X1)),skolemize(X3,sK2(X1))],[nnf_62]) ).
fof(sk_co1_neg,plain,
( ! [VAR_0] :
( young(sK0,VAR_0)
| ~ member(sK0,VAR_0,sK1) )
& ! [VAR_0] :
( fellow(sK0,VAR_0)
| ~ member(sK0,VAR_0,sK1) )
& group(sK0,sK1)
& two(sK0,sK1)
& ! [VAR_0] :
( in(sK0,sK2(VAR_0),sK2(VAR_0))
| ~ member(sK0,VAR_0,sK1) )
& ! [VAR_0] :
( be(sK0,sK4(VAR_0),VAR_0,sK2(VAR_0))
| ~ member(sK0,VAR_0,sK1) )
& ! [VAR_0] :
( state(sK0,sK4(VAR_0))
| ~ member(sK0,VAR_0,sK1) )
& ! [VAR_0] :
( frontseat(sK0,sK2(VAR_0))
| ~ member(sK0,VAR_0,sK1) )
& in(sK0,sK8,sK7)
& down(sK0,sK8,sK5)
& barrel(sK0,sK8)
& present(sK0,sK8)
& agent(sK0,sK8,sK7)
& event(sK0,sK8)
& old(sK0,sK7)
& dirty(sK0,sK7)
& white(sK0,sK7)
& chevy(sK0,sK7)
& placename(sK0,sK6)
& hollywood_placename(sK0,sK6)
& city(sK0,sK7)
& of(sK0,sK6,sK7)
& lonely(sK0,sK5)
& street(sK0,sK5)
& actual_world(sK0) ),
inference(cnf_transformation,[status(thm)],[sk_co1_neg_sk]) ).
cnf(c_70,negated_conjecture,
( frontseat(sK0,sK2(A))
| ~ member(sK0,A,sK1) ),
inference(split_conjunct,[status(thm)],[sk_co1_neg]) ).
cnf(c_71,plain,
( artifact(A,B)
| ~ frontseat(A,B) ),
inference(resolve,[status(thm)],[c_68,c_69]) ).
cnf(c_75,plain,
( object(A,B)
| ~ artifact(A,B) ),
inference(clausify,[status(thm)],[ax20]) ).
cnf(c_77,plain,
( nonliving(A,B)
| ~ object(A,B) ),
inference(clausify,[status(thm)],[ax18]) ).
cnf(c_120,plain,
( ~ artifact(A,B)
| nonliving(A,B) ),
inference(resolve,[status(thm)],[c_77,c_75]) ).
cnf(c_122,negated_conjecture,
( artifact(sK0,sK2(A))
| ~ member(sK0,A,sK1) ),
inference(resolve,[status(thm)],[c_70,c_71]) ).
cnf(c_131,negated_conjecture,
( nonliving(sK0,sK2(A))
| ~ member(sK0,A,sK1) ),
inference(resolve,[status(thm)],[c_122,c_120]) ).
cnf(c_133,plain,
( ~ nonliving(A,B)
| ~ animate(A,B) ),
inference(clausify,[status(thm)],[ax50]) ).
cnf(c_207,negated_conjecture,
two(sK0,sK1),
inference(split_conjunct,[status(thm)],[sk_co1_neg]) ).
fof(nnf_60,plain,
! [U,V] :
( ( ! [W] :
( ! [X] :
( ? [Y] :
( Y != W
& Y != X
& member(U,Y,V) )
| X = W
| ~ member(U,X,V) )
| ~ member(U,W,V) )
| two(U,V) )
& ( ? [X0] :
( ? [X5] :
( ! [X6] :
( X6 = X0
| X6 = X5
| ~ member(U,X6,V) )
& X5 != X0
& member(U,X5,V) )
& member(U,X0,V) )
| ~ two(U,V) ) ),
inference(fof_nnf,[status(thm)],[ax60]) ).
fof(sk_ax60_sk,plain,
! [U,V] :
( ( ! [W] :
( ! [X] :
( ( sK10(U,V,W,X) != W
& sK10(U,V,W,X) != X
& member(U,sK10(U,V,W,X),V) )
| X = W
| ~ member(U,X,V) )
| ~ member(U,W,V) )
| two(U,V) )
& ( ( ! [X6] :
( X6 = sK9(U,V)
| X6 = sK3(U,V)
| ~ member(U,X6,V) )
& sK3(U,V) != sK9(U,V)
& member(U,sK3(U,V),V)
& member(U,sK9(U,V),V) )
| ~ two(U,V) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK3,sK10]),skolemize(X0,sK9(U,V)),skolemize(X5,sK3(U,V)),skolemize(Y,sK10(U,V,W,X))],[nnf_60]) ).
fof(sk_ax60,plain,
( ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( sK10(VAR_0,VAR_1,VAR_2,VAR_3) != VAR_2
| VAR_3 = VAR_2
| ~ member(VAR_0,VAR_3,VAR_1)
| ~ member(VAR_0,VAR_2,VAR_1)
| two(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( sK10(VAR_0,VAR_1,VAR_2,VAR_3) != VAR_3
| VAR_3 = VAR_2
| ~ member(VAR_0,VAR_3,VAR_1)
| ~ member(VAR_0,VAR_2,VAR_1)
| two(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( member(VAR_0,sK10(VAR_0,VAR_1,VAR_2,VAR_3),VAR_1)
| VAR_3 = VAR_2
| ~ member(VAR_0,VAR_3,VAR_1)
| ~ member(VAR_0,VAR_2,VAR_1)
| two(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( VAR_2 = sK9(VAR_0,VAR_1)
| VAR_2 = sK3(VAR_0,VAR_1)
| ~ member(VAR_0,VAR_2,VAR_1)
| ~ two(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( sK3(VAR_0,VAR_1) != sK9(VAR_0,VAR_1)
| ~ two(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( member(VAR_0,sK3(VAR_0,VAR_1),VAR_1)
| ~ two(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( member(VAR_0,sK9(VAR_0,VAR_1),VAR_1)
| ~ two(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_ax60_sk]) ).
cnf(c_209,plain,
( member(A,sK3(A,B),B)
| ~ two(A,B) ),
inference(split_conjunct,[status(thm)],[sk_ax60]) ).
cnf(c_228,plain,
( human_person(A,B)
| ~ man(A,B) ),
inference(clausify,[status(thm)],[ax48]) ).
cnf(c_229,plain,
( man(A,B)
| ~ fellow(A,B) ),
inference(clausify,[status(thm)],[ax49]) ).
cnf(c_231,plain,
( animate(A,B)
| ~ human_person(A,B) ),
inference(clausify,[status(thm)],[ax38]) ).
cnf(c_232,plain,
( ~ fellow(A,B)
| human_person(A,B) ),
inference(resolve,[status(thm)],[c_228,c_229]) ).
cnf(c_243,negated_conjecture,
( fellow(sK0,A)
| ~ member(sK0,A,sK1) ),
inference(split_conjunct,[status(thm)],[sk_co1_neg]) ).
cnf(c_244,plain,
( ~ fellow(A,B)
| animate(A,B) ),
inference(resolve,[status(thm)],[c_231,c_232]) ).
cnf(c_254,plain,
( D = C
| ~ be(A,B,C,D) ),
inference(clausify,[status(thm)],[ax59]) ).
cnf(c_255,negated_conjecture,
( be(sK0,sK4(A),A,sK2(A))
| ~ member(sK0,A,sK1) ),
inference(split_conjunct,[status(thm)],[sk_co1_neg]) ).
cnf(c_256,negated_conjecture,
( ~ member(sK0,A,sK1)
| sK2(A) = A ),
inference(resolve,[status(thm)],[c_254,c_255]) ).
cnf(c_263,negated_conjecture,
( animate(sK0,A)
| ~ member(sK0,A,sK1) ),
inference(resolve,[status(thm)],[c_243,c_244]) ).
cnf(c_268,negated_conjecture,
member(sK0,sK3(sK0,sK1),sK1),
inference(resolve,[status(thm)],[c_209,c_207]) ).
cnf(c_290,negated_conjecture,
( ~ member(sK0,A,sK1)
| ~ animate(sK0,sK2(A)) ),
inference(resolve,[status(thm)],[c_133,c_131]) ).
cnf(c_343,plain,
animate(sK0,sK3(sK0,sK1)),
inference(resolve,[status(thm)],[c_268,c_263]) ).
cnf(c_349,plain,
sK2(sK3(sK0,sK1)) = sK3(sK0,sK1),
inference(resolve,[status(thm)],[c_268,c_256]) ).
cnf(c_355,negated_conjecture,
~ animate(sK0,sK2(sK3(sK0,sK1))),
inference(resolve,[status(thm)],[c_290,c_268]) ).
cnf(c_356,negated_conjecture,
~ animate(sK0,sK3(sK0,sK1)),
inference(paramod,[status(thm)],[c_349,c_355]) ).
cnf(c_354,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_343,c_356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP147+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 01:04:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 3002818 was started by sandbox on n009,
% 0.09/0.36 % Sat Sep 26 01:04:29 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.38
% 0.12/0.38 % From the command line: assign(max_seconds, 300).
% 0.12/0.40
% 0.12/0.40 % SZS status Theorem for theBenchmark
% 0.12/0.40
% 0.12/0.40 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.12/0.40 % Length of proof is 44.
% 0.12/0.40 % Level of proof is 8.
% 0.12/0.40 % Maximum clause weight is 23.000.
% 0.12/0.40 % Given clauses 31.
% 0.12/0.40
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------