%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 08:51:26 AM UTC 2026
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 106 ( 48 ~; 38 |; 14 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 32 ( 11 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(simple_ir,axiom,
! [X] : ir(X),
file('theBenchmark.p',simple_ir) ).
fof(simple_iext_property,axiom,
! [S,P,O] :
( iext(P,S,O)
=> ip(P) ),
file('theBenchmark.p',simple_iext_property) ).
fof(rdf_type_ip,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('theBenchmark.p',rdf_type_ip) ).
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(rdfs_ir_def,axiom,
! [X] :
( ir(X)
<=> icext(uri_rdfs_Resource,X) ),
file('theBenchmark.p',rdfs_ir_def) ).
fof(owl_class_thing_ext,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('theBenchmark.p',owl_class_thing_ext) ).
fof(owl_class_objectproperty_ext,axiom,
! [X] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ),
file('theBenchmark.p',owl_class_objectproperty_ext) ).
fof(testcase_conclusion_fullish_005_Everything_is_a_Resource,conjecture,
( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
file('theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).
fof(testcase_conclusion_fullish_005_Everything_is_a_Resource_neg,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).
cnf(c_9,plain,
( icext(uri_rdfs_Resource,A)
| ~ ir(A) ),
inference(clausify,[status(thm)],[rdfs_ir_def]) ).
cnf(c_10,plain,
ir(A),
inference(clausify,[status(thm)],[simple_ir]) ).
cnf(c_11,plain,
( ~ icext(uri_rdfs_Resource,A)
| ir(A) ),
inference(clausify,[status(thm)],[rdfs_ir_def]) ).
cnf(c_13,plain,
( ~ ir(A)
| icext(uri_owl_Thing,A) ),
inference(clausify,[status(thm)],[owl_class_thing_ext]) ).
cnf(c_15,plain,
( ~ ip(A)
| icext(uri_owl_ObjectProperty,A) ),
inference(clausify,[status(thm)],[owl_class_objectproperty_ext]) ).
cnf(c_16,plain,
( ~ ip(A)
| iext(uri_rdf_type,A,uri_rdf_Property) ),
inference(clausify,[status(thm)],[rdf_type_ip]) ).
cnf(c_18,plain,
( ip(A)
| ~ iext(A,B,C) ),
inference(clausify,[status(thm)],[simple_iext_property]) ).
cnf(c_19,plain,
( icext(uri_owl_ObjectProperty,A)
| ~ iext(A,B,C) ),
inference(resolve,[status(thm)],[c_18,c_15]) ).
cnf(c_20,plain,
( iext(uri_rdf_type,A,uri_rdf_Property)
| ~ iext(A,B,C) ),
inference(resolve,[status(thm)],[c_18,c_16]) ).
cnf(c_24,plain,
( ~ icext(B,A)
| iext(uri_rdf_type,A,B) ),
inference(clausify,[status(thm)],[rdfs_cext_def]) ).
fof(testcase_premise_fullish_005_Everything_is_a_Resource,axiom,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
file('theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).
cnf(c_25,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(clausify,[status(thm)],[testcase_premise_fullish_005_Everything_is_a_Resource]) ).
cnf(c_26,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(clausify,[status(thm)],[testcase_conclusion_fullish_005_Everything_is_a_Resource_neg]) ).
cnf(c_27,plain,
icext(uri_rdfs_Resource,A),
inference(resolve,[status(thm)],[c_9,c_10]) ).
cnf(c_28,plain,
( ~ icext(uri_rdfs_Resource,A)
| icext(uri_owl_Thing,A) ),
inference(resolve,[status(thm)],[c_13,c_11]) ).
cnf(c_29,plain,
icext(uri_owl_Thing,A),
inference(resolve,[status(thm)],[c_27,c_28]) ).
cnf(c_30,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(resolve,[status(thm)],[c_20,c_25]) ).
cnf(c_31,plain,
icext(uri_owl_ObjectProperty,uri_ex_p),
inference(resolve,[status(thm)],[c_19,c_25]) ).
cnf(c_32,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(resolve,[status(thm)],[c_30,c_26]) ).
cnf(c_33,plain,
iext(uri_rdf_type,A,uri_rdfs_Resource),
inference(resolve,[status(thm)],[c_24,c_27]) ).
cnf(c_41,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
inference(resolve,[status(thm)],[c_33,c_32]) ).
cnf(c_42,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
inference(resolve,[status(thm)],[c_33,c_41]) ).
cnf(c_34,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
inference(resolve,[status(thm)],[c_33,c_42]) ).
cnf(c_35,plain,
iext(uri_rdf_type,A,uri_owl_Thing),
inference(resolve,[status(thm)],[c_24,c_29]) ).
cnf(c_43,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
inference(resolve,[status(thm)],[c_35,c_34]) ).
cnf(c_44,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(resolve,[status(thm)],[c_35,c_43]) ).
cnf(c_36,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
inference(resolve,[status(thm)],[c_35,c_44]) ).
cnf(c_45,negated_conjecture,
~ icext(uri_owl_ObjectProperty,uri_ex_p),
inference(resolve,[status(thm)],[c_36,c_24]) ).
cnf(c_40,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_31,c_45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n008.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 11:40:39 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.35 % Process 3555847 was started by sandbox2 on n008,
% 0.09/0.35 % Sat Sep 26 11:40:39 2026
% 0.09/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.36
% 0.09/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.37
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37
% 0.12/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.37 % Length of proof is 31.
% 0.12/0.37 % Level of proof is 7.
% 0.12/0.37 % Maximum clause weight is 32.000.
% 0.12/0.37 % Given clauses 11.
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------