%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NLP145+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 02:14:49 PM UTC 2026
% Result : Theorem 4.70s 1.29s
% Output : Proof 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 73 ( 18 unt; 0 def)
% Number of atoms : 257 ( 20 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 248 ( 64 ~; 56 |; 111 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 5 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 : 154 ( 2 sgn 93 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,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('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f59_nnf,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) )
& ( ? [W] :
( ? [X] :
( ! [Y] :
( Y = W
| Y = X
| ~ member(U,Y,V) )
& X != W
& member(U,X,V) )
& member(U,W,V) )
| ~ two(U,V) ) ),
inference(nnf_transformation,[status(thm)],[f59]) ).
fof(f59_sk,plain,
! [U,V,Y,W,X] :
( ( ( sk2(U,V,W,X) != W
& sk2(U,V,W,X) != X
& member(U,sk2(U,V,W,X),V) )
| X = W
| ~ member(U,X,V)
| ~ member(U,W,V)
| two(U,V) )
& ( ( ( Y = sk0(U,V)
| Y = sk1(U,V)
| ~ member(U,Y,V) )
& sk1(U,V) != sk0(U,V)
& member(U,sk1(U,V),V)
& member(U,sk0(U,V),V) )
| ~ two(U,V) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f59_nnf]) ).
cnf(c59,plain,
( member(X0,sk0(X0,X1),X1)
| ~ two(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f59_sk]) ).
fof(f61,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('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f61_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(negated_conjecture,[status(cth)],[f61]) ).
fof(f61_nnf,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(nnf_transformation,[status(thm)],[f61_neg]) ).
fof(f61_sk,plain,
! [X2,X5] :
( ( ( young(sk3,X5)
& fellow(sk3,X5) )
| ~ member(sk3,X5,sk9) )
& group(sk3,sk9)
& two(sk3,sk9)
& ( ( in(sk3,sk11(X2),sk11(X2))
& be(sk3,sk10(X2),X2,sk11(X2))
& state(sk3,sk10(X2))
& frontseat(sk3,sk11(X2)) )
| ~ member(sk3,X2,sk9) )
& in(sk3,sk8,sk4)
& down(sk3,sk8,sk7)
& barrel(sk3,sk8)
& present(sk3,sk8)
& agent(sk3,sk8,sk6)
& event(sk3,sk8)
& lonely(sk3,sk7)
& street(sk3,sk7)
& old(sk3,sk6)
& dirty(sk3,sk6)
& white(sk3,sk6)
& chevy(sk3,sk6)
& placename(sk3,sk5)
& hollywood_placename(sk3,sk5)
& city(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])],[f61_nnf]) ).
cnf(c88,plain,
two(sk3,sk9),
inference(cnf_transformation,[status(esa)],[f61_sk]) ).
cnf(p171,plain,
member(sk3,sk0(sk3,sk9),sk9),
inference(resolution,[status(thm)],[c59,c88]) ).
cnf(c86,plain,
( be(sk3,sk10(X7),X7,sk11(X7))
| ~ member(sk3,X7,sk9) ),
inference(cnf_transformation,[status(esa)],[f61_sk]) ).
cnf(p177,plain,
be(sk3,sk10(sk0(sk3,sk9)),sk0(sk3,sk9),sk11(sk0(sk3,sk9))),
inference(resolution,[status(thm)],[p171,c86]) ).
fof(f58,axiom,
! [U,V,W,X] :
( be(U,V,W,X)
=> W = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(f58_nnf,plain,
! [U,V,W,X] :
( W = X
| ~ be(U,V,W,X) ),
inference(nnf_transformation,[status(thm)],[f58]) ).
fof(f58_sk,plain,
! [U,V,W,X] :
( W = X
| ~ be(U,V,W,X) ),
inference(skolemisation,[status(esa)],[f58_nnf]) ).
cnf(c58,plain,
( X2 = X3
| ~ be(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f58_sk]) ).
cnf(p218,plain,
sk0(sk3,sk9) = sk11(sk0(sk3,sk9)),
inference(resolution,[status(thm)],[p177,c58]) ).
cnf(c84,plain,
( frontseat(sk3,sk11(X7))
| ~ member(sk3,X7,sk9) ),
inference(cnf_transformation,[status(esa)],[f61_sk]) ).
cnf(p174,plain,
frontseat(sk3,sk11(sk0(sk3,sk9))),
inference(resolution,[status(thm)],[p171,c84]) ).
fof(f2,axiom,
! [U,V] :
( frontseat(U,V)
=> seat(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f2_nnf,plain,
! [U,V] :
( seat(U,V)
| ~ frontseat(U,V) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [U,V] :
( seat(U,V)
| ~ frontseat(U,V) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( seat(X0,X1)
| ~ frontseat(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p201,plain,
seat(sk3,sk11(sk0(sk3,sk9))),
inference(resolution,[status(thm)],[p174,c2]) ).
fof(f1,axiom,
! [U,V] :
( seat(U,V)
=> furniture(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1_nnf,plain,
! [U,V] :
( furniture(U,V)
| ~ seat(U,V) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [U,V] :
( furniture(U,V)
| ~ seat(U,V) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( furniture(X0,X1)
| ~ seat(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p231,plain,
furniture(sk3,sk11(sk0(sk3,sk9))),
inference(resolution,[status(thm)],[p201,c1]) ).
fof(f0,axiom,
! [U,V] :
( furniture(U,V)
=> instrumentality(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f0_nnf,plain,
! [U,V] :
( instrumentality(U,V)
| ~ furniture(U,V) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [U,V] :
( instrumentality(U,V)
| ~ furniture(U,V) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( instrumentality(X0,X1)
| ~ furniture(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p240,plain,
instrumentality(sk3,sk11(sk0(sk3,sk9))),
inference(resolution,[status(thm)],[p231,c0]) ).
cnf(p257,plain,
instrumentality(sk3,sk0(sk3,sk9)),
inference(superposition,[status(thm)],[p218,p240]) ).
fof(f20,axiom,
! [U,V] :
( instrumentality(U,V)
=> artifact(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f20_nnf,plain,
! [U,V] :
( artifact(U,V)
| ~ instrumentality(U,V) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [U,V] :
( artifact(U,V)
| ~ instrumentality(U,V) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( artifact(X0,X1)
| ~ instrumentality(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p258,plain,
artifact(sk3,sk0(sk3,sk9)),
inference(resolution,[status(thm)],[p257,c20]) ).
fof(f19,axiom,
! [U,V] :
( artifact(U,V)
=> object(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f19_nnf,plain,
! [U,V] :
( object(U,V)
| ~ artifact(U,V) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [U,V] :
( object(U,V)
| ~ artifact(U,V) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( object(X0,X1)
| ~ artifact(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p260,plain,
object(sk3,sk0(sk3,sk9)),
inference(resolution,[status(thm)],[p258,c19]) ).
fof(f17,axiom,
! [U,V] :
( object(U,V)
=> nonliving(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f17_nnf,plain,
! [U,V] :
( nonliving(U,V)
| ~ object(U,V) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [U,V] :
( nonliving(U,V)
| ~ object(U,V) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( nonliving(X0,X1)
| ~ object(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p262,plain,
nonliving(sk3,sk0(sk3,sk9)),
inference(resolution,[status(thm)],[p260,c17]) ).
cnf(c90,plain,
( fellow(sk3,X10)
| ~ member(sk3,X10,sk9) ),
inference(cnf_transformation,[status(esa)],[f61_sk]) ).
cnf(p172,plain,
fellow(sk3,sk0(sk3,sk9)),
inference(resolution,[status(thm)],[p171,c90]) ).
fof(f48,axiom,
! [U,V] :
( fellow(U,V)
=> man(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f48_nnf,plain,
! [U,V] :
( man(U,V)
| ~ fellow(U,V) ),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
! [U,V] :
( man(U,V)
| ~ fellow(U,V) ),
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c48,plain,
( man(X0,X1)
| ~ fellow(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(p178,plain,
man(sk3,sk0(sk3,sk9)),
inference(resolution,[status(thm)],[p172,c48]) ).
fof(f47,axiom,
! [U,V] :
( man(U,V)
=> human_person(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
fof(f47_nnf,plain,
! [U,V] :
( human_person(U,V)
| ~ man(U,V) ),
inference(nnf_transformation,[status(thm)],[f47]) ).
fof(f47_sk,plain,
! [U,V] :
( human_person(U,V)
| ~ man(U,V) ),
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c47,plain,
( human_person(X0,X1)
| ~ man(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(p181,plain,
human_person(sk3,sk0(sk3,sk9)),
inference(resolution,[status(thm)],[p178,c47]) ).
fof(f37,axiom,
! [U,V] :
( human_person(U,V)
=> animate(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f37_nnf,plain,
! [U,V] :
( animate(U,V)
| ~ human_person(U,V) ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
! [U,V] :
( animate(U,V)
| ~ human_person(U,V) ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c37,plain,
( animate(X0,X1)
| ~ human_person(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(p183,plain,
animate(sk3,sk0(sk3,sk9)),
inference(resolution,[status(thm)],[p181,c37]) ).
fof(f49,axiom,
! [U,V] :
( animate(U,V)
=> ~ nonliving(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
fof(f49_nnf,plain,
! [U,V] :
( ~ nonliving(U,V)
| ~ animate(U,V) ),
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
! [U,V] :
( ~ nonliving(U,V)
| ~ animate(U,V) ),
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c49,plain,
( ~ nonliving(X0,X1)
| ~ animate(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(p186,plain,
~ nonliving(sk3,sk0(sk3,sk9)),
inference(resolution,[status(thm)],[p183,c49]) ).
cnf(p265,plain,
$false,
inference(resolution,[status(thm)],[p262,p186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP145+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.56 % Computer : n017.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Thu Sep 24 02:01:31 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.56 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.70/1.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.70/1.29 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------