%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWB016+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 : n002.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 09:15:51 PM UTC 2025
% Result : Theorem 5.83s 2.49s
% Output : CNFRefutation 5.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 133 ( 57 ~; 60 |; 7 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ iext > icext > ip > ic > #nlpp > uri_rdfs_subPropertyOf > uri_rdfs_subClassOf > uri_rdfs_domain > uri_rdfs_Class > uri_rdf_type > uri_rdf_Property > uri_owl_equivalentClass > #skF_3 > #skF_2 > #skF_1 > #skF_5 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(uri_rdf_Property,type,
uri_rdf_Property: $i ).
tff(uri_owl_equivalentClass,type,
uri_owl_equivalentClass: $i ).
tff(uri_rdf_type,type,
uri_rdf_type: $i ).
tff(uri_rdfs_subPropertyOf,type,
uri_rdfs_subPropertyOf: $i ).
tff(icext,type,
icext: ( $i * $i ) > $o ).
tff(ip,type,
ip: $i > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(ic,type,
ic: $i > $o ).
tff(uri_rdfs_subClassOf,type,
uri_rdfs_subClassOf: $i ).
tff(uri_rdfs_Class,type,
uri_rdfs_Class: $i ).
tff(iext,type,
iext: ( $i * $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(uri_rdfs_domain,type,
uri_rdfs_domain: $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_82,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).
tff(f_39,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).
tff(f_40,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
tff(f_38,axiom,
! [P,C,X,Y] :
( ( iext(uri_rdfs_domain,P,C)
& iext(P,X,Y) )
=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
tff(f_32,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
tff(f_28,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).
tff(f_41,axiom,
ip(uri_owl_equivalentClass),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).
tff(f_69,axiom,
! [P1,P2] :
( iext(uri_rdfs_subPropertyOf,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X,Y] :
( iext(P1,X,Y)
=> iext(P2,X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
tff(f_80,axiom,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
( icext(C1,X)
<=> icext(C2,X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
tff(f_58,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
( icext(C1,X)
=> icext(C2,X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
tff(c_58,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_12,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_14,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_107,plain,
! [C_63,X_64,P_65,Y_66] :
( icext(C_63,X_64)
| ~ iext(P_65,X_64,Y_66)
| ~ iext(uri_rdfs_domain,P_65,C_63) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_151,plain,
! [C_72] :
( icext(C_72,uri_rdfs_subClassOf)
| ~ iext(uri_rdfs_domain,uri_rdfs_domain,C_72) ),
inference(resolution,[status(thm)],[c_14,c_107]) ).
tff(c_155,plain,
icext(uri_rdf_Property,uri_rdfs_subClassOf),
inference(resolution,[status(thm)],[c_12,c_151]) ).
tff(c_77,plain,
! [X_45,C_46] :
( iext(uri_rdf_type,X_45,C_46)
| ~ icext(C_46,X_45) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_2,plain,
! [P_1] :
( ip(P_1)
| ~ iext(uri_rdf_type,P_1,uri_rdf_Property) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_86,plain,
! [X_45] :
( ip(X_45)
| ~ icext(uri_rdf_Property,X_45) ),
inference(resolution,[status(thm)],[c_77,c_2]) ).
tff(c_167,plain,
ip(uri_rdfs_subClassOf),
inference(resolution,[status(thm)],[c_155,c_86]) ).
tff(c_16,plain,
ip(uri_owl_equivalentClass),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_260,plain,
! [P1_93,P2_94] :
( iext(P1_93,'#skF_2'(P1_93,P2_94),'#skF_3'(P1_93,P2_94))
| iext(uri_rdfs_subPropertyOf,P1_93,P2_94)
| ~ ip(P2_94)
| ~ ip(P1_93) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_46,plain,
! [C2_24,C1_23] :
( ic(C2_24)
| ~ iext(uri_owl_equivalentClass,C1_23,C2_24) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_292,plain,
! [P2_94] :
( ic('#skF_3'(uri_owl_equivalentClass,P2_94))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,P2_94)
| ~ ip(P2_94)
| ~ ip(uri_owl_equivalentClass) ),
inference(resolution,[status(thm)],[c_260,c_46]) ).
tff(c_311,plain,
! [P2_94] :
( ic('#skF_3'(uri_owl_equivalentClass,P2_94))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,P2_94)
| ~ ip(P2_94) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_292]) ).
tff(c_48,plain,
! [C1_23,C2_24] :
( ic(C1_23)
| ~ iext(uri_owl_equivalentClass,C1_23,C2_24) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_280,plain,
! [P2_94] :
( ic('#skF_2'(uri_owl_equivalentClass,P2_94))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,P2_94)
| ~ ip(P2_94)
| ~ ip(uri_owl_equivalentClass) ),
inference(resolution,[status(thm)],[c_260,c_48]) ).
tff(c_306,plain,
! [P2_94] :
( ic('#skF_2'(uri_owl_equivalentClass,P2_94))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,P2_94)
| ~ ip(P2_94) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_280]) ).
tff(c_40,plain,
! [P1_15,P2_16] :
( iext(P1_15,'#skF_2'(P1_15,P2_16),'#skF_3'(P1_15,P2_16))
| iext(uri_rdfs_subPropertyOf,P1_15,P2_16)
| ~ ip(P2_16)
| ~ ip(P1_15) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_179,plain,
! [C1_79,C2_80] :
( icext(C1_79,'#skF_1'(C1_79,C2_80))
| iext(uri_rdfs_subClassOf,C1_79,C2_80)
| ~ ic(C2_80)
| ~ ic(C1_79) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_42,plain,
! [C2_24,X_27,C1_23] :
( icext(C2_24,X_27)
| ~ icext(C1_23,X_27)
| ~ iext(uri_owl_equivalentClass,C1_23,C2_24) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_596,plain,
! [C2_139,C1_140,C2_141] :
( icext(C2_139,'#skF_1'(C1_140,C2_141))
| ~ iext(uri_owl_equivalentClass,C1_140,C2_139)
| iext(uri_rdfs_subClassOf,C1_140,C2_141)
| ~ ic(C2_141)
| ~ ic(C1_140) ),
inference(resolution,[status(thm)],[c_179,c_42]) ).
tff(c_28,plain,
! [C2_11,C1_10] :
( ~ icext(C2_11,'#skF_1'(C1_10,C2_11))
| iext(uri_rdfs_subClassOf,C1_10,C2_11)
| ~ ic(C2_11)
| ~ ic(C1_10) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_616,plain,
! [C1_142,C2_143] :
( ~ iext(uri_owl_equivalentClass,C1_142,C2_143)
| iext(uri_rdfs_subClassOf,C1_142,C2_143)
| ~ ic(C2_143)
| ~ ic(C1_142) ),
inference(resolution,[status(thm)],[c_596,c_28]) ).
tff(c_38,plain,
! [P2_16,P1_15] :
( ~ iext(P2_16,'#skF_2'(P1_15,P2_16),'#skF_3'(P1_15,P2_16))
| iext(uri_rdfs_subPropertyOf,P1_15,P2_16)
| ~ ip(P2_16)
| ~ ip(P1_15) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_623,plain,
! [P1_15] :
( iext(uri_rdfs_subPropertyOf,P1_15,uri_rdfs_subClassOf)
| ~ ip(uri_rdfs_subClassOf)
| ~ ip(P1_15)
| ~ iext(uri_owl_equivalentClass,'#skF_2'(P1_15,uri_rdfs_subClassOf),'#skF_3'(P1_15,uri_rdfs_subClassOf))
| ~ ic('#skF_3'(P1_15,uri_rdfs_subClassOf))
| ~ ic('#skF_2'(P1_15,uri_rdfs_subClassOf)) ),
inference(resolution,[status(thm)],[c_616,c_38]) ).
tff(c_2071,plain,
! [P1_348] :
( iext(uri_rdfs_subPropertyOf,P1_348,uri_rdfs_subClassOf)
| ~ ip(P1_348)
| ~ iext(uri_owl_equivalentClass,'#skF_2'(P1_348,uri_rdfs_subClassOf),'#skF_3'(P1_348,uri_rdfs_subClassOf))
| ~ ic('#skF_3'(P1_348,uri_rdfs_subClassOf))
| ~ ic('#skF_2'(P1_348,uri_rdfs_subClassOf)) ),
inference(demodulation,[status(thm),theory(equality)],[c_167,c_623]) ).
tff(c_2079,plain,
( ~ ic('#skF_3'(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic('#skF_2'(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ ip(uri_rdfs_subClassOf)
| ~ ip(uri_owl_equivalentClass) ),
inference(resolution,[status(thm)],[c_40,c_2071]) ).
tff(c_2085,plain,
( ~ ic('#skF_3'(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic('#skF_2'(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_167,c_2079]) ).
tff(c_2086,plain,
( ~ ic('#skF_3'(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic('#skF_2'(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(negUnitSimplification,[status(thm)],[c_58,c_2085]) ).
tff(c_2087,plain,
~ ic('#skF_2'(uri_owl_equivalentClass,uri_rdfs_subClassOf)),
inference(splitLeft,[status(thm)],[c_2086]) ).
tff(c_2096,plain,
( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ ip(uri_rdfs_subClassOf) ),
inference(resolution,[status(thm)],[c_306,c_2087]) ).
tff(c_2107,plain,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(demodulation,[status(thm),theory(equality)],[c_167,c_2096]) ).
tff(c_2109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_2107]) ).
tff(c_2110,plain,
~ ic('#skF_3'(uri_owl_equivalentClass,uri_rdfs_subClassOf)),
inference(splitRight,[status(thm)],[c_2086]) ).
tff(c_2132,plain,
( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ ip(uri_rdfs_subClassOf) ),
inference(resolution,[status(thm)],[c_311,c_2110]) ).
tff(c_2143,plain,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(demodulation,[status(thm),theory(equality)],[c_167,c_2132]) ).
tff(c_2145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_2143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB016+2 : TPTP v9.0.0. Released v5.2.0.
% 0.03/0.13 % 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 : n002.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 00:58:17 EDT 2025
% 0.13/0.34 % CPUTime :
% 5.83/2.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.97/2.50
% 5.97/2.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------