%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB029+2 : TPTP v9.3.1. Released v5.2.0.
% 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 03:03:52 PM UTC 2026
% Result : Theorem 3.78s 1.11s
% Output : Proof 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 12 unt; 0 def)
% Number of atoms : 188 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 237 ( 88 ~; 84 |; 59 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-5 aty)
% Number of variables : 84 ( 4 sgn 33 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [Z,S1,C1,S2,C2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,C1) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C2,X)
& icext(C1,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(f2_nnf,plain,
! [Z,S1,C1,S2,C2] :
( ( ( ? [X] :
( ( icext(C2,X)
& icext(C1,X)
& ~ icext(Z,X) )
| ( ( ~ icext(C2,X)
| ~ icext(C1,X) )
& icext(Z,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ( ! [X] :
( ( ~ icext(C2,X)
| ~ icext(C1,X)
| icext(Z,X) )
& ( ( icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [S1,C1,S2,C2,Z,X] :
( ( ( ( icext(C2,sk0(Z,S1,C1,S2,C2))
& icext(C1,sk0(Z,S1,C1,S2,C2))
& ~ icext(Z,sk0(Z,S1,C1,S2,C2)) )
| ( ( ~ icext(C2,sk0(Z,S1,C1,S2,C2))
| ~ icext(C1,sk0(Z,S1,C1,S2,C2)) )
& icext(Z,sk0(Z,S1,C1,S2,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ( ( ~ icext(C2,X)
| ~ icext(C1,X)
| icext(Z,X) )
& ( ( icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f2_nnf]) ).
cnf(c10,plain,
( icext(X4,X5)
| ~ icext(X0,X5)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f4,axiom,
? [BNODE_x,BNODE_y,BNODE_l1,BNODE_l2] :
( iext(uri_owl_complementOf,BNODE_y,uri_ex_A)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,BNODE_y)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_ex_A)
& iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1)
& iext(uri_rdf_type,uri_ex_w,BNODE_x)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
fof(f4_nnf,plain,
? [BNODE_x,BNODE_y,BNODE_l1,BNODE_l2] :
( iext(uri_owl_complementOf,BNODE_y,uri_ex_A)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,BNODE_y)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_ex_A)
& iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1)
& iext(uri_rdf_type,uri_ex_w,BNODE_x)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( iext(uri_owl_complementOf,sk2,uri_ex_A)
& iext(uri_rdf_rest,sk4,uri_rdf_nil)
& iext(uri_rdf_first,sk4,sk2)
& iext(uri_rdf_rest,sk3,sk4)
& iext(uri_rdf_first,sk3,uri_ex_A)
& iext(uri_owl_intersectionOf,sk1,sk3)
& iext(uri_rdf_type,uri_ex_w,sk1)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2,sk3,sk4])],[f4_nnf]) ).
cnf(c23,plain,
iext(uri_rdf_first,sk3,uri_ex_A),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p71,plain,
( icext(X1,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,sk3)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk3,X0) ),
inference(resolution,[status(thm)],[c10,c23]) ).
cnf(c24,plain,
iext(uri_rdf_rest,sk3,sk4),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p73,plain,
( icext(X0,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_intersectionOf,X1,sk3)
| ~ iext(uri_rdf_rest,sk4,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk4,X0) ),
inference(resolution,[status(thm)],[p71,c24]) ).
cnf(c25,plain,
iext(uri_rdf_first,sk4,sk2),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p74,plain,
( icext(sk2,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_intersectionOf,X0,sk3)
| ~ iext(uri_rdf_rest,sk4,uri_rdf_nil) ),
inference(resolution,[status(thm)],[p73,c25]) ).
cnf(c26,plain,
iext(uri_rdf_rest,sk4,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p75,plain,
( icext(sk2,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_intersectionOf,X0,sk3) ),
inference(resolution,[status(thm)],[p74,c26]) ).
cnf(c22,plain,
iext(uri_owl_intersectionOf,sk1,sk3),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p76,plain,
( icext(sk2,X0)
| ~ icext(sk1,X0) ),
inference(resolution,[status(thm)],[p75,c22]) ).
fof(f0,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f0_nnf,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c21,plain,
iext(uri_rdf_type,uri_ex_w,sk1),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p32,plain,
icext(sk1,uri_ex_w),
inference(resolution,[status(thm)],[c0,c21]) ).
cnf(p77,plain,
icext(sk2,uri_ex_w),
inference(resolution,[status(thm)],[p76,p32]) ).
fof(f1,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f1_nnf,plain,
! [Z,C] :
( ( ! [X] :
( ( icext(C,X)
| icext(Z,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) ) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [Z,C,X] :
( ( ( icext(C,X)
| icext(Z,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c4,plain,
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(c27,plain,
iext(uri_owl_complementOf,sk2,uri_ex_A),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p34,plain,
( ~ icext(uri_ex_A,X0)
| ~ icext(sk2,X0) ),
inference(resolution,[status(thm)],[c4,c27]) ).
cnf(p79,plain,
~ icext(uri_ex_A,uri_ex_w),
inference(resolution,[status(thm)],[p77,p34]) ).
cnf(c9,plain,
( icext(X2,X5)
| ~ icext(X0,X5)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p59,plain,
( icext(uri_ex_A,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,sk3)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk3,X0) ),
inference(resolution,[status(thm)],[c9,c23]) ).
cnf(p64,plain,
( icext(uri_ex_A,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_intersectionOf,X1,sk3)
| ~ iext(uri_rdf_rest,sk4,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk4,X0) ),
inference(resolution,[status(thm)],[p59,c24]) ).
cnf(p65,plain,
( icext(uri_ex_A,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_intersectionOf,X0,sk3)
| ~ iext(uri_rdf_rest,sk4,uri_rdf_nil) ),
inference(resolution,[status(thm)],[p64,c25]) ).
cnf(p66,plain,
( icext(uri_ex_A,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_intersectionOf,X0,sk3) ),
inference(resolution,[status(thm)],[p65,c26]) ).
cnf(p67,plain,
( icext(uri_ex_A,X0)
| ~ icext(sk1,X0) ),
inference(resolution,[status(thm)],[p66,c22]) ).
cnf(p68,plain,
icext(uri_ex_A,uri_ex_w),
inference(resolution,[status(thm)],[p67,p32]) ).
cnf(p80,plain,
$false,
inference(resolution,[status(thm)],[p79,p68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB029+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 15:32:00 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.78/1.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.78/1.11 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------