%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET479-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 02:43:19 PM UTC 2026
% Result : Unsatisfiable 28.74s 4.37s
% Output : Proof 28.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 4 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f97,axiom,
subclass(domain_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_domain_relation1) ).
fof(f97_nnf,plain,
subclass(domain_relation,cross_product(universal_class,universal_class)),
inference(nnf_transformation,[status(thm)],[f97]) ).
cnf(c97,plain,
subclass(domain_relation,cross_product(universal_class,universal_class)),
inference(cnf_transformation,[status(esa)],[f97_nnf]) ).
cnf(f0,axiom,
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f0_nnf,plain,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p117,plain,
( member(X0,cross_product(universal_class,universal_class))
| ~ member(X0,domain_relation) ),
inference(resolution,[status(thm)],[c97,c0]) ).
cnf(f99,axiom,
( member(ordered_pair(X,domain_of(X)),domain_relation)
| ~ member(X,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_domain_relation3) ).
fof(f99_nnf,plain,
! [X] :
( member(ordered_pair(X,domain_of(X)),domain_relation)
| ~ member(X,universal_class) ),
inference(nnf_transformation,[status(thm)],[f99]) ).
fof(f99_sk,plain,
! [X] :
( member(ordered_pair(X,domain_of(X)),domain_relation)
| ~ member(X,universal_class) ),
inference(skolemisation,[status(esa)],[f99_nnf]) ).
cnf(c99,plain,
( member(ordered_pair(X0,domain_of(X0)),domain_relation)
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(esa)],[f99_sk]) ).
cnf(f112,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_replacement_property1_1) ).
fof(f112_nnf,plain,
member(x,universal_class),
inference(nnf_transformation,[status(thm)],[f112]) ).
cnf(c112,plain,
member(x,universal_class),
inference(cnf_transformation,[status(esa)],[f112_nnf]) ).
cnf(p2195,plain,
member(ordered_pair(x,domain_of(x)),domain_relation),
inference(resolution,[status(thm)],[c99,c112]) ).
cnf(p2791,plain,
member(ordered_pair(x,domain_of(x)),cross_product(universal_class,universal_class)),
inference(resolution,[status(thm)],[p117,p2195]) ).
cnf(f14,axiom,
( member(V,Y)
| ~ member(ordered_pair(U,V),cross_product(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f14_nnf,plain,
! [U,V,X,Y] :
( member(V,Y)
| ~ member(ordered_pair(U,V),cross_product(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [U,V,X,Y] :
( member(V,Y)
| ~ member(ordered_pair(U,V),cross_product(X,Y)) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( member(X1,X3)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p2794,plain,
member(domain_of(x),universal_class),
inference(resolution,[status(thm)],[p2791,c14]) ).
cnf(f113,negated_conjecture,
~ member(domain_of(x),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_replacement_property1_2) ).
fof(f113_nnf,plain,
~ member(domain_of(x),universal_class),
inference(nnf_transformation,[status(thm)],[f113]) ).
fof(f113_sk,plain,
~ member(domain_of(x),universal_class),
inference(skolemisation,[status(esa)],[f113_nnf]) ).
cnf(c113,plain,
~ member(domain_of(x),universal_class),
inference(cnf_transformation,[status(esa)],[f113_sk]) ).
cnf(p2802,plain,
$false,
inference(resolution,[status(thm)],[p2794,c113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET479-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n018.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 : Thu Sep 24 11:06:04 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 28.74/4.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.74/4.37 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------