%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB029+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 15.21s 2.54s
% Output : Proof 15.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 35 unt; 0 def)
% Number of atoms : 186 ( 18 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 205 ( 74 ~; 60 |; 64 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-5 aty)
% Number of variables : 89 ( 6 sgn 42 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f79_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)],[f79]) ).
fof(f79_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)],[f79_nnf]) ).
cnf(c199,plain,
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(hi176,axiom,
ifeq(iext(uri_rdf_type,X0,X1),true,icext(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c199]) ).
fof(f139,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/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
fof(f139_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)],[f139]) ).
fof(f139_sk,plain,
( iext(uri_owl_complementOf,sk19,uri_ex_A)
& iext(uri_rdf_rest,sk21,uri_rdf_nil)
& iext(uri_rdf_first,sk21,sk19)
& iext(uri_rdf_rest,sk20,sk21)
& iext(uri_rdf_first,sk20,uri_ex_A)
& iext(uri_owl_intersectionOf,sk18,sk20)
& iext(uri_rdf_type,uri_ex_w,sk18)
& 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,[sk18,sk19,sk20,sk21])],[f139_nnf]) ).
cnf(c269,plain,
iext(uri_rdf_type,uri_ex_w,sk18),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi244,axiom,
iext(uri_rdf_type,uri_ex_w,sk18) = true,
inference(equality_encoding,[status(esa)],[c269]) ).
cnf(h1485,plain,
icext(sk18,uri_ex_w) = true,
inference(hyper_resolution,[status(thm)],[hi176,hi244]) ).
fof(f3,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/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(f3_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)],[f3]) ).
fof(f3_sk,plain,
! [S1,C1,S2,C2,Z,X] :
( ( ( ( icext(C2,sk2(Z,S1,C1,S2,C2))
& icext(C1,sk2(Z,S1,C1,S2,C2))
& ~ icext(Z,sk2(Z,S1,C1,S2,C2)) )
| ( ( ~ icext(C2,sk2(Z,S1,C1,S2,C2))
| ~ icext(C1,sk2(Z,S1,C1,S2,C2)) )
& icext(Z,sk2(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,[sk2])],[f3_nnf]) ).
cnf(c22,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)],[f3_sk]) ).
cnf(hi18,axiom,
ifeq(iext(uri_rdf_first,X0,X1),true,ifeq(iext(uri_rdf_rest,X0,X2),true,ifeq(iext(uri_rdf_first,X2,X3),true,ifeq(iext(uri_rdf_rest,X2,uri_rdf_nil),true,ifeq(iext(uri_owl_intersectionOf,X4,X0),true,ifeq(icext(X4,X5),true,icext(X1,X5),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(c271,plain,
iext(uri_rdf_first,sk20,uri_ex_A),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi246,axiom,
iext(uri_rdf_first,sk20,uri_ex_A) = true,
inference(equality_encoding,[status(esa)],[c271]) ).
cnf(c272,plain,
iext(uri_rdf_rest,sk20,sk21),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi247,axiom,
iext(uri_rdf_rest,sk20,sk21) = true,
inference(equality_encoding,[status(esa)],[c272]) ).
cnf(c273,plain,
iext(uri_rdf_first,sk21,sk19),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi248,axiom,
iext(uri_rdf_first,sk21,sk19) = true,
inference(equality_encoding,[status(esa)],[c273]) ).
cnf(c274,plain,
iext(uri_rdf_rest,sk21,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi249,axiom,
iext(uri_rdf_rest,sk21,uri_rdf_nil) = true,
inference(equality_encoding,[status(esa)],[c274]) ).
cnf(c270,plain,
iext(uri_owl_intersectionOf,sk18,sk20),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi245,axiom,
iext(uri_owl_intersectionOf,sk18,sk20) = true,
inference(equality_encoding,[status(esa)],[c270]) ).
cnf(h3255,plain,
icext(uri_ex_A,uri_ex_w) = true,
inference(hyper_resolution,[status(thm)],[hi18,hi246,hi247,hi248,hi249,hi245,h1485]) ).
cnf(c23,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)],[f3_sk]) ).
cnf(hi19,axiom,
ifeq(iext(uri_rdf_first,X0,X1),true,ifeq(iext(uri_rdf_rest,X0,X2),true,ifeq(iext(uri_rdf_first,X2,X3),true,ifeq(iext(uri_rdf_rest,X2,uri_rdf_nil),true,ifeq(iext(uri_owl_intersectionOf,X4,X0),true,ifeq(icext(X4,X5),true,icext(X3,X5),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(h3254,plain,
icext(sk19,uri_ex_w) = true,
inference(hyper_resolution,[status(thm)],[hi19,hi246,hi247,hi248,hi249,hi245,h1485]) ).
fof(f0,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f0_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)],[f0]) ).
fof(f0_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)],[f0_nnf]) ).
cnf(c2,plain,
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi251,axiom,
ifeq(iext(uri_owl_complementOf,X0,X1),true,ifeq(icext(X0,X2),true,ifeq(icext(X1,X2),true,false,true),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(c275,plain,
iext(uri_owl_complementOf,sk19,uri_ex_A),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi250,axiom,
iext(uri_owl_complementOf,sk19,uri_ex_A) = true,
inference(equality_encoding,[status(esa)],[c275]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi251,hi250,h3254,h3255]) ).
cnf(t964,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f5,axiom,
! [Z] :
( iext(uri_owl_unionOf,Z,uri_rdf_nil)
<=> ( ! [X] : ~ icext(Z,X)
& ic(Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_000) ).
fof(f5_nnf,plain,
! [Z] :
( ( ? [X] : icext(Z,X)
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,uri_rdf_nil) )
& ( ( ! [X] : ~ icext(Z,X)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,uri_rdf_nil) ) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Z,X] :
( ( icext(Z,sk4(Z))
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,uri_rdf_nil) )
& ( ( ~ icext(Z,X)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,uri_rdf_nil) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f5_nnf]) ).
cnf(c48,plain,
( ~ icext(X0,X1)
| ~ iext(uri_owl_unionOf,X0,uri_rdf_nil) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f9,axiom,
! [X] : ~ icext(uri_owl_Nothing,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
fof(f9_nnf,plain,
! [X] : ~ icext(uri_owl_Nothing,X),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X] : ~ icext(uri_owl_Nothing,X),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c86,plain,
~ icext(uri_owl_Nothing,X0),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
fof(f138,conjecture,
iext(uri_rdf_type,uri_ex_w,uri_ex_B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_029_Ex_Falso_Quodlibet) ).
fof(f138_neg,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_B),
inference(negated_conjecture,[status(cth)],[f138]) ).
fof(f138_nnf,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_B),
inference(nnf_transformation,[status(thm)],[f138_neg]) ).
fof(f138_sk,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_B),
inference(skolemisation,[status(esa)],[f138_nnf]) ).
cnf(c266,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_B),
inference(cnf_transformation,[status(esa)],[f138_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2,c48,c86,c266]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t964]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB029+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 15:36:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 15.21/2.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.21/2.54 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------