%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWB007+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 09:15:46 PM UTC 2025
% Result : Theorem 2.69s 1.67s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 5 ~; 3 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 4 ( 4 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ iext > #nlpp > uri_rdfs_subClassOf > uri_rdfs_range > uri_rdf_type > uri_owl_sameAs > uri_ex_w > uri_ex_p > uri_ex_c2 > uri_ex_c1 > uri_ex_c
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(uri_rdf_type,type,
uri_rdf_type: $i ).
tff(uri_rdfs_range,type,
uri_rdfs_range: $i ).
tff(uri_ex_c2,type,
uri_ex_c2: $i ).
tff(uri_ex_c,type,
uri_ex_c: $i ).
tff(uri_ex_p,type,
uri_ex_p: $i ).
tff(uri_ex_w,type,
uri_ex_w: $i ).
tff(uri_rdfs_subClassOf,type,
uri_rdfs_subClassOf: $i ).
tff(uri_owl_sameAs,type,
uri_owl_sameAs: $i ).
tff(iext,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_ex_c1,type,
uri_ex_c1: $i ).
tff(f_41,axiom,
( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).
tff(f_28,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
tff(f_34,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).
tff(c_12,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_14,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_16,plain,
! [Y_4,X_5] :
( ( Y_4 = X_5 )
| ~ iext(uri_owl_sameAs,X_5,Y_4) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_25,plain,
uri_ex_c2 = uri_ex_c1,
inference(resolution,[status(thm)],[c_14,c_16]) ).
tff(c_10,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_8,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_6,plain,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_33,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_25,c_10,c_25,c_8,c_25,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB007+2 : TPTP v9.0.0. Released v5.2.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 00:54:03 EDT 2025
% 0.13/0.35 % CPUTime :
% 2.69/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.69/1.68
% 2.69/1.68 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------