%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET199-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 02:42:51 PM UTC 2026
% Result : Unsatisfiable 29.19s 4.91s
% Output : Proof 29.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 27 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f22,axiom,
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f22_nnf,plain,
! [Z,X,Y] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [Z,X,Y] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(f1,axiom,
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f1_nnf,plain,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
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(f112,negated_conjecture,
subclass(z,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_greatest_lower_bound_1) ).
fof(f112_nnf,plain,
subclass(z,x),
inference(nnf_transformation,[status(thm)],[f112]) ).
cnf(c112,plain,
subclass(z,x),
inference(cnf_transformation,[status(esa)],[f112_nnf]) ).
cnf(p116,plain,
( member(X0,x)
| ~ member(X0,z) ),
inference(resolution,[status(thm)],[c0,c112]) ).
cnf(p118,plain,
( member(not_subclass_element(z,X0),x)
| subclass(z,X0) ),
inference(resolution,[status(thm)],[c1,p116]) ).
cnf(p303,plain,
( subclass(z,X0)
| member(not_subclass_element(z,X0),intersection(x,X1))
| ~ member(not_subclass_element(z,X0),X1) ),
inference(resolution,[status(thm)],[c22,p118]) ).
cnf(f113,negated_conjecture,
subclass(z,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_greatest_lower_bound_2) ).
fof(f113_nnf,plain,
subclass(z,y),
inference(nnf_transformation,[status(thm)],[f113]) ).
cnf(c113,plain,
subclass(z,y),
inference(cnf_transformation,[status(esa)],[f113_nnf]) ).
cnf(p117,plain,
( member(X0,y)
| ~ member(X0,z) ),
inference(resolution,[status(thm)],[c113,c0]) ).
cnf(p119,plain,
( member(not_subclass_element(z,X0),y)
| subclass(z,X0) ),
inference(resolution,[status(thm)],[c1,p117]) ).
cnf(p392,plain,
( subclass(z,X0)
| subclass(z,X0)
| member(not_subclass_element(z,X0),intersection(x,y)) ),
inference(resolution,[status(thm)],[p303,p119]) ).
cnf(p428,plain,
( subclass(z,X0)
| member(not_subclass_element(z,X0),intersection(x,y)) ),
inference(factoring,[status(thm)],[p392]) ).
cnf(f2,axiom,
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f2_nnf,plain,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p429,plain,
( subclass(z,intersection(x,y))
| subclass(z,intersection(x,y)) ),
inference(resolution,[status(thm)],[p428,c2]) ).
cnf(p435,plain,
subclass(z,intersection(x,y)),
inference(factoring,[status(thm)],[p429]) ).
cnf(f114,negated_conjecture,
~ subclass(z,intersection(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_greatest_lower_bound_3) ).
fof(f114_nnf,plain,
~ subclass(z,intersection(x,y)),
inference(nnf_transformation,[status(thm)],[f114]) ).
fof(f114_sk,plain,
~ subclass(z,intersection(x,y)),
inference(skolemisation,[status(esa)],[f114_nnf]) ).
cnf(c114,plain,
~ subclass(z,intersection(x,y)),
inference(cnf_transformation,[status(esa)],[f114_sk]) ).
cnf(p437,plain,
$false,
inference(resolution,[status(thm)],[p435,c114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET199-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 10:13:48 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.19/4.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.19/4.91 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------