%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB031+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Sun Sep 27 08:51:37 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 60 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 50 ( 17 ~; 14 |; 13 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 36 ( 8 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(simple_ir,axiom,
! [X] : ir(X),
file('theBenchmark.p',simple_ir) ).
fof(owl_class_thing_ext,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('theBenchmark.p',owl_class_thing_ext) ).
fof(owl_class_nothing_ext,axiom,
! [X] : ~ icext(uri_owl_Nothing,X),
file('theBenchmark.p',owl_class_nothing_ext) ).
fof(owl_enum_class_001,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_rest,S1,uri_rdf_nil)
& iext(uri_rdf_first,S1,A1) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> X = A1 )
& ic(Z) ) ) ),
file('theBenchmark.p',owl_enum_class_001) ).
fof(owl_eqdis_equivalentclass,axiom,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
<=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(testcase_premise_fullish_031_Large_Universe,axiom,
? [BNODE_x,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_w)
& iext(uri_owl_oneOf,BNODE_x,BNODE_l)
& iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x) ),
file('theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
cnf(c_7,plain,
( ~ ir(A)
| icext(uri_owl_Thing,A) ),
inference(clausify,[status(thm)],[owl_class_thing_ext]) ).
cnf(c_9,plain,
ir(A),
inference(clausify,[status(thm)],[simple_ir]) ).
cnf(c_10,plain,
icext(uri_owl_Thing,A),
inference(resolve,[status(thm)],[c_7,c_9]) ).
fof(nnf_6,plain,
? [BNODE_x,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_w)
& iext(uri_owl_oneOf,BNODE_x,BNODE_l)
& iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_031_Large_Universe]) ).
fof(sk_testcase_premise_fullish_031_Large_Universe,plain,
( iext(uri_rdf_rest,sK0,uri_rdf_nil)
& iext(uri_rdf_first,sK0,uri_ex_w)
& iext(uri_owl_oneOf,sK1,sK0)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK0]),skolemize(BNODE_x,sK1),skolemize(BNODE_l,sK0)],[nnf_6]) ).
cnf(c_11,plain,
iext(uri_rdf_rest,sK0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_031_Large_Universe]) ).
cnf(c_12,plain,
iext(uri_rdf_first,sK0,uri_ex_w),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_031_Large_Universe]) ).
cnf(c_13,plain,
iext(uri_owl_oneOf,sK1,sK0),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_031_Large_Universe]) ).
cnf(c_14,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK1),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_031_Large_Universe]) ).
cnf(c_18,plain,
( icext(B,C)
| ~ icext(A,C)
| ~ iext(uri_owl_equivalentClass,A,B) ),
inference(clausify,[status(thm)],[owl_eqdis_equivalentclass]) ).
cnf(c_26,plain,
( B = D
| ~ icext(C,D)
| ~ iext(uri_owl_oneOf,C,A)
| ~ iext(uri_rdf_rest,A,uri_rdf_nil)
| ~ iext(uri_rdf_first,A,B) ),
inference(clausify,[status(thm)],[owl_enum_class_001]) ).
cnf(c_28,plain,
~ icext(uri_owl_Nothing,A),
inference(clausify,[status(thm)],[owl_class_nothing_ext]) ).
cnf(c_99,plain,
( icext(sK1,A)
| ~ icext(uri_owl_Thing,A) ),
inference(resolve,[status(thm)],[c_18,c_14]) ).
cnf(c_34,plain,
icext(sK1,A),
inference(resolve,[status(thm)],[c_10,c_99]) ).
cnf(c_100,plain,
( A = B
| ~ icext(sK1,B)
| ~ iext(uri_rdf_rest,sK0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK0,A) ),
inference(resolve,[status(thm)],[c_26,c_13]) ).
cnf(c_101,plain,
( A = B
| ~ icext(sK1,B)
| ~ iext(uri_rdf_first,sK0,A) ),
inference(resolve,[status(thm)],[c_11,c_100]) ).
cnf(c_48,plain,
( A = B
| ~ iext(uri_rdf_first,sK0,A) ),
inference(resolve,[status(thm)],[c_34,c_101]) ).
cnf(c_59,plain,
uri_ex_w = A,
inference(resolve,[status(thm)],[c_48,c_12]) ).
cnf(c_62,plain,
icext(uri_ex_w,A),
inference(paramod,[status(thm)],[c_59,c_10]) ).
cnf(c_102,plain,
~ icext(uri_ex_w,A),
inference(paramod,[status(thm)],[c_59,c_28]) ).
cnf(c_98,plain,
$false,
inference(resolve,[status(thm)],[c_62,c_102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB031+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.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
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 11:48:33 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 628661 was started by sandbox on n017,
% 0.09/0.37 % Sat Sep 26 11:48:33 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.15/0.39
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39
% 0.15/0.39 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.15/0.39 % Length of proof is 21.
% 0.15/0.39 % Level of proof is 7.
% 0.15/0.39 % Maximum clause weight is 18.000.
% 0.15/0.39 % Given clauses 34.
% 0.15/0.39
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------