%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NLP145+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 : 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 : 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 : 35 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 150 ( 2 sgn 72 !; 32 ?)
% 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,X1] :
( ! [X5] :
( member(U,X5,X1)
=> ( young(U,X5)
& fellow(U,X5) ) )
& group(U,X1)
& two(U,X1)
& ! [X2] :
( member(U,X2,X1)
=> ? [X3,X4] :
( in(U,X4,X4)
& be(U,X3,X2,X4)
& state(U,X3)
& frontseat(U,X4) ) )
& in(U,Z,V)
& down(U,Z,Y)
& barrel(U,Z)
& present(U,Z)
& agent(U,Z,X)
& event(U,Z)
& lonely(U,Y)
& street(U,Y)
& old(U,X)
& dirty(U,X)
& white(U,X)
& chevy(U,X)
& placename(U,W)
& hollywood_placename(U,W)
& city(U,V)
& of(U,W,V) )
& actual_world(U) ),
file('theBenchmark.p',co1) ).
fof(co1_neg,negated_conjecture,
~ ~ ? [U] :
( ? [V,W,X,Y,Z,X1] :
( ! [X5] :
( member(U,X5,X1)
=> ( young(U,X5)
& fellow(U,X5) ) )
& group(U,X1)
& two(U,X1)
& ! [X2] :
( member(U,X2,X1)
=> ? [X3,X4] :
( in(U,X4,X4)
& be(U,X3,X2,X4)
& state(U,X3)
& frontseat(U,X4) ) )
& in(U,Z,V)
& down(U,Z,Y)
& barrel(U,Z)
& present(U,Z)
& agent(U,Z,X)
& event(U,Z)
& lonely(U,Y)
& street(U,Y)
& old(U,X)
& dirty(U,X)
& white(U,X)
& chevy(U,X)
& placename(U,W)
& hollywood_placename(U,W)
& city(U,V)
& of(U,W,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,X1] :
( ! [X5] :
( ( young(U,X5)
& fellow(U,X5) )
| ~ member(U,X5,X1) )
& group(U,X1)
& two(U,X1)
& ! [X2] :
( ? [X3,X4] :
( in(U,X4,X4)
& be(U,X3,X2,X4)
& state(U,X3)
& frontseat(U,X4) )
| ~ member(U,X2,X1) )
& in(U,Z,V)
& down(U,Z,Y)
& barrel(U,Z)
& present(U,Z)
& agent(U,Z,X)
& event(U,Z)
& lonely(U,Y)
& street(U,Y)
& old(U,X)
& dirty(U,X)
& white(U,X)
& chevy(U,X)
& placename(U,W)
& hollywood_placename(U,W)
& city(U,V)
& of(U,W,V) )
& actual_world(U) ),
inference(fof_nnf,[status(thm)],[co1_neg]) ).
fof(sk_co1_neg_sk,plain,
( ! [X5] :
( ( young(sK0,X5)
& fellow(sK0,X5) )
| ~ member(sK0,X5,sK1) )
& group(sK0,sK1)
& two(sK0,sK1)
& ! [X2] :
( ( in(sK0,sK2(X2),sK2(X2))
& be(sK0,sK4(X2),X2,sK2(X2))
& state(sK0,sK4(X2))
& frontseat(sK0,sK2(X2)) )
| ~ member(sK0,X2,sK1) )
& in(sK0,sK9,sK6)
& down(sK0,sK9,sK8)
& barrel(sK0,sK9)
& present(sK0,sK9)
& agent(sK0,sK9,sK7)
& event(sK0,sK9)
& lonely(sK0,sK8)
& street(sK0,sK8)
& old(sK0,sK7)
& dirty(sK0,sK7)
& white(sK0,sK7)
& chevy(sK0,sK7)
& placename(sK0,sK5)
& hollywood_placename(sK0,sK5)
& city(sK0,sK6)
& of(sK0,sK5,sK6)
& actual_world(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK5,sK6,sK7,sK8,sK9,sK1,sK2,sK4]),skolemize(U,sK0),skolemize(V,sK6),skolemize(W,sK5),skolemize(X,sK7),skolemize(Y,sK8),skolemize(Z,sK9),skolemize(X1,sK1),skolemize(X3,sK4(X2)),skolemize(X4,sK2(X2))],[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,sK9,sK6)
& down(sK0,sK9,sK8)
& barrel(sK0,sK9)
& present(sK0,sK9)
& agent(sK0,sK9,sK7)
& event(sK0,sK9)
& lonely(sK0,sK8)
& street(sK0,sK8)
& old(sK0,sK7)
& dirty(sK0,sK7)
& white(sK0,sK7)
& chevy(sK0,sK7)
& placename(sK0,sK5)
& hollywood_placename(sK0,sK5)
& city(sK0,sK6)
& of(sK0,sK5,sK6)
& 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_208,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] :
( ? [X6] :
( ! [X7] :
( X7 = X0
| X7 = X6
| ~ member(U,X7,V) )
& X6 != X0
& member(U,X6,V) )
& member(U,X0,V) )
| ~ two(U,V) ) ),
inference(fof_nnf,[status(thm)],[ax60]) ).
fof(sk_ax60_sk,plain,
! [U,V] :
( ( ! [W] :
( ! [X] :
( ( sK11(U,V,W,X) != W
& sK11(U,V,W,X) != X
& member(U,sK11(U,V,W,X),V) )
| X = W
| ~ member(U,X,V) )
| ~ member(U,W,V) )
| two(U,V) )
& ( ( ! [X7] :
( X7 = sK10(U,V)
| X7 = sK3(U,V)
| ~ member(U,X7,V) )
& sK3(U,V) != sK10(U,V)
& member(U,sK3(U,V),V)
& member(U,sK10(U,V),V) )
| ~ two(U,V) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK3,sK11]),skolemize(X0,sK10(U,V)),skolemize(X6,sK3(U,V)),skolemize(Y,sK11(U,V,W,X))],[nnf_60]) ).
fof(sk_ax60,plain,
( ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( sK11(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] :
( sK11(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,sK11(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 = sK10(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) != sK10(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,sK10(VAR_0,VAR_1),VAR_1)
| ~ two(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_ax60_sk]) ).
cnf(c_210,plain,
( member(A,sK3(A,B),B)
| ~ two(A,B) ),
inference(split_conjunct,[status(thm)],[sk_ax60]) ).
cnf(c_229,plain,
( human_person(A,B)
| ~ man(A,B) ),
inference(clausify,[status(thm)],[ax48]) ).
cnf(c_230,plain,
( man(A,B)
| ~ fellow(A,B) ),
inference(clausify,[status(thm)],[ax49]) ).
cnf(c_232,plain,
( animate(A,B)
| ~ human_person(A,B) ),
inference(clausify,[status(thm)],[ax38]) ).
cnf(c_233,plain,
( ~ fellow(A,B)
| human_person(A,B) ),
inference(resolve,[status(thm)],[c_229,c_230]) ).
cnf(c_244,negated_conjecture,
( fellow(sK0,A)
| ~ member(sK0,A,sK1) ),
inference(split_conjunct,[status(thm)],[sk_co1_neg]) ).
cnf(c_245,plain,
( ~ fellow(A,B)
| animate(A,B) ),
inference(resolve,[status(thm)],[c_232,c_233]) ).
cnf(c_255,plain,
( D = C
| ~ be(A,B,C,D) ),
inference(clausify,[status(thm)],[ax59]) ).
cnf(c_256,negated_conjecture,
( be(sK0,sK4(A),A,sK2(A))
| ~ member(sK0,A,sK1) ),
inference(split_conjunct,[status(thm)],[sk_co1_neg]) ).
cnf(c_257,negated_conjecture,
( ~ member(sK0,A,sK1)
| sK2(A) = A ),
inference(resolve,[status(thm)],[c_255,c_256]) ).
cnf(c_264,negated_conjecture,
( animate(sK0,A)
| ~ member(sK0,A,sK1) ),
inference(resolve,[status(thm)],[c_244,c_245]) ).
cnf(c_269,negated_conjecture,
member(sK0,sK3(sK0,sK1),sK1),
inference(resolve,[status(thm)],[c_210,c_208]) ).
cnf(c_291,negated_conjecture,
( ~ member(sK0,A,sK1)
| ~ animate(sK0,sK2(A)) ),
inference(resolve,[status(thm)],[c_133,c_131]) ).
cnf(c_352,plain,
animate(sK0,sK3(sK0,sK1)),
inference(resolve,[status(thm)],[c_269,c_264]) ).
cnf(c_359,plain,
sK2(sK3(sK0,sK1)) = sK3(sK0,sK1),
inference(resolve,[status(thm)],[c_269,c_257]) ).
cnf(c_365,negated_conjecture,
~ animate(sK0,sK2(sK3(sK0,sK1))),
inference(resolve,[status(thm)],[c_291,c_269]) ).
cnf(c_366,negated_conjecture,
~ animate(sK0,sK3(sK0,sK1)),
inference(paramod,[status(thm)],[c_359,c_365]) ).
cnf(c_364,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_352,c_366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP145+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 01:02:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 1596339 was started by sandbox on n013,
% 0.08/0.36 % Sat Sep 26 01:02:21 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.37
% 0.12/0.37 % 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
%------------------------------------------------------------------------------