%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB017+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 : n007.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 08:51:31 AM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 28 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 4 |; 5 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_eqdis_differentfrom,axiom,
! [X,Y] :
( iext(uri_owl_differentFrom,X,Y)
<=> X != Y ),
file('theBenchmark.p',owl_eqdis_differentfrom) ).
fof(owl_eqdis_propertydisjointwith,axiom,
! [P1,P2] :
( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ! [X,Y] :
~ ( iext(P2,X,Y)
& iext(P1,X,Y) )
& ip(P2)
& ip(P1) ) ),
file('theBenchmark.p',owl_eqdis_propertydisjointwith) ).
fof(testcase_premise_fullish_017_Built_in_Based_Definitions,axiom,
( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c)
& iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type) ),
file('theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).
fof(testcase_conclusion_fullish_017_Built_in_Based_Definitions,conjecture,
iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
file('theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).
fof(testcase_conclusion_fullish_017_Built_in_Based_Definitions_neg,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_017_Built_in_Based_Definitions]) ).
cnf(c_6,plain,
( B = A
| iext(uri_owl_differentFrom,A,B) ),
inference(clausify,[status(thm)],[owl_eqdis_differentfrom]) ).
cnf(c_9,plain,
( ~ iext(B,C,D)
| ~ iext(A,C,D)
| ~ iext(uri_owl_propertyDisjointWith,A,B) ),
inference(clausify,[status(thm)],[owl_eqdis_propertydisjointwith]) ).
cnf(c_12,plain,
iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
inference(clausify,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).
cnf(c_13,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(clausify,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).
cnf(c_14,plain,
iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
inference(clausify,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).
cnf(c_15,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(clausify,[status(thm)],[testcase_conclusion_fullish_017_Built_in_Based_Definitions_neg]) ).
cnf(c_41,plain,
( ~ iext(uri_rdf_type,A,B)
| ~ iext(uri_ex_notInstanceOf,A,B) ),
inference(resolve,[status(thm)],[c_9,c_12]) ).
cnf(c_34,plain,
~ iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
inference(resolve,[status(thm)],[c_41,c_13]) ).
cnf(c_42,negated_conjecture,
uri_ex_u = uri_ex_w,
inference(resolve,[status(thm)],[c_15,c_6]) ).
cnf(c_39,negated_conjecture,
uri_ex_w = uri_ex_u,
inference(copy,[status(thm)],[c_42]) ).
cnf(c_43,plain,
~ iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
inference(paramod,[status(thm)],[c_39,c_34]) ).
cnf(c_40,plain,
$false,
inference(resolve,[status(thm)],[c_14,c_43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB017+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 11:43:55 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.36 % Process 3646192 was started by sandbox on n007,
% 0.12/0.36 % Sat Sep 26 11:43:55 2026
% 0.12/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.38
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38
% 0.12/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.38 % Length of proof is 13.
% 0.12/0.38 % Level of proof is 3.
% 0.12/0.38 % Maximum clause weight is 12.000.
% 0.12/0.38 % Given clauses 11.
% 0.12/0.38
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------