%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB074+1 : 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 : n014.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 08:51:40 AM UTC 2026
% Result : Theorem 91.66s 23.43s
% Output : CNFRefutation 91.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 5 |; 2 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 15 ( 3 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(simple_ir,axiom,
! [X] : ir(X),
file('theBenchmark.p',simple_ir) ).
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(rdfs_lv_def,axiom,
! [X] :
( lv(X)
<=> icext(uri_rdfs_Literal,X) ),
file('theBenchmark.p',rdfs_lv_def) ).
fof(owl_prop_topdataproperty_ext,axiom,
! [X,Y] :
( iext(uri_owl_topDataProperty,X,Y)
<=> ( lv(Y)
& ir(X) ) ),
file('theBenchmark.p',owl_prop_topdataproperty_ext) ).
fof(premise_rdfbased_sem_prop_topdataproperty_ext_lo,axiom,
( iext(uri_rdf_type,uri_ex_x,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) ),
file('theBenchmark.p',premise_rdfbased_sem_prop_topdataproperty_ext_lo) ).
fof(conclusion_rdfbased_sem_prop_topdataproperty_ext_lo,conjecture,
iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
file('theBenchmark.p',conclusion_rdfbased_sem_prop_topdataproperty_ext_lo) ).
fof(conclusion_rdfbased_sem_prop_topdataproperty_ext_lo_neg,negated_conjecture,
~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_prop_topdataproperty_ext_lo]) ).
cnf(c_1275,plain,
ir(A),
inference(clausify,[status(thm)],[simple_ir]) ).
cnf(c_1282,plain,
( icext(B,A)
| ~ iext(uri_rdf_type,A,B) ),
inference(clausify,[status(thm)],[rdfs_cext_def]) ).
cnf(c_1302,plain,
( ~ icext(uri_rdfs_Literal,A)
| lv(A) ),
inference(clausify,[status(thm)],[rdfs_lv_def]) ).
cnf(c_1356,plain,
( ~ lv(B)
| ~ ir(A)
| iext(uri_owl_topDataProperty,A,B) ),
inference(clausify,[status(thm)],[owl_prop_topdataproperty_ext]) ).
cnf(c_1357,plain,
( ~ lv(B)
| iext(uri_owl_topDataProperty,A,B) ),
inference(resolve,[status(thm)],[c_1275,c_1356]) ).
cnf(c_1555,plain,
iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal),
inference(clausify,[status(thm)],[premise_rdfbased_sem_prop_topdataproperty_ext_lo]) ).
cnf(c_1557,negated_conjecture,
~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
inference(clausify,[status(thm)],[conclusion_rdfbased_sem_prop_topdataproperty_ext_lo_neg]) ).
cnf(c_3128,plain,
icext(uri_rdfs_Literal,uri_ex_y),
inference(resolve,[status(thm)],[c_1555,c_1282]) ).
cnf(c_4342,plain,
lv(uri_ex_y),
inference(resolve,[status(thm)],[c_1302,c_3128]) ).
cnf(c_6713,plain,
iext(uri_owl_topDataProperty,A,uri_ex_y),
inference(resolve,[status(thm)],[c_1357,c_4342]) ).
cnf(c_6714,plain,
$false,
inference(resolve,[status(thm)],[c_6713,c_1557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB074+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/10.45 % Computer : n014.cluster.edu
% 0.18/10.45 % Model : x86_64 x86_64
% 0.18/10.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.45 % Memory : 8046.5625MB
% 0.18/10.45 % OS : Linux 6.8.0-71-generic
% 0.18/10.45 % CPULimit : 300
% 0.18/10.45 % WCLimit : 300
% 0.18/10.45 % DateTime : Sat Sep 26 11:58:29 UTC 2026
% 0.18/10.45 % CPUTime :
% 0.18/10.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/10.45 % Process 3084563 was started by sandbox2 on n014,
% 0.18/10.45 % Sat Sep 26 11:58:29 2026
% 0.18/10.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.22/10.76
% 0.22/10.76 % From the command line: assign(max_seconds, 300).
% 0.22/10.76
% 0.22/10.76 % SInE: 181 to sos, 378 to usable, of 559 axioms (tolerance 2.00, depth 0 fixpoint).
% 91.66/23.43
% 91.66/23.43 % SZS status Theorem for theBenchmark
% 91.66/23.43
% 91.66/23.43 % Proof 1 at 4.02 (+ 0.44) seconds.
% 91.66/23.43 % Length of proof is 17.
% 91.66/23.43 % Level of proof is 5.
% 91.66/23.43 % Maximum clause weight is 109.000.
% 91.66/23.43 % Given clauses 446.
% 91.66/23.43
% 91.66/23.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------