TSTP Solution File: SWB023+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWB023+2 : TPTP v8.1.2. 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 : n012.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 : Tue Aug 22 11:00:27 EDT 2023
% Result : Theorem 3.54s 1.89s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 28
% Syntax : Number of formulae : 59 ( 20 unt; 22 typ; 0 def)
% Number of atoms : 75 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 65 ( 27 ~; 20 |; 11 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 9 >; 7 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-3 aty)
% Number of variables : 35 (; 33 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ iext > icext > ip > ic > #nlpp > uri_rdf_type > uri_rdf_rest > uri_rdf_nil > uri_rdf_first > uri_owl_sameAs > uri_owl_oneOf > uri_owl_FunctionalProperty > uri_owl_Class > uri_ex_w > uri_ex_v > uri_ex_u > #skF_5 > #skF_1 > #skF_4 > #skF_7 > #skF_6 > #skF_2 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(uri_owl_oneOf,type,
uri_owl_oneOf: $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(uri_rdf_type,type,
uri_rdf_type: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff(uri_ex_u,type,
uri_ex_u: $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(uri_rdf_first,type,
uri_rdf_first: $i ).
tff(uri_ex_v,type,
uri_ex_v: $i ).
tff(icext,type,
icext: ( $i * $i ) > $o ).
tff(uri_owl_FunctionalProperty,type,
uri_owl_FunctionalProperty: $i ).
tff(ip,type,
ip: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(uri_ex_w,type,
uri_ex_w: $i ).
tff(uri_rdf_rest,type,
uri_rdf_rest: $i ).
tff(ic,type,
ic: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(uri_owl_sameAs,type,
uri_owl_sameAs: $i ).
tff(uri_owl_Class,type,
uri_owl_Class: $i ).
tff(iext,type,
iext: ( $i * $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(uri_rdf_nil,type,
uri_rdf_nil: $i ).
tff(f_56,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
tff(f_74,axiom,
? [BNODE_o,BNODE_l] :
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,BNODE_o)
& iext(uri_rdf_type,BNODE_o,uri_owl_Class)
& iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_rest,BNODE_l,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
tff(f_28,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
tff(f_52,axiom,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ip(P)
& ! [X,Y1,Y2] :
( ( iext(P,X,Y1)
& iext(P,X,Y2) )
=> ( Y1 = Y2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_functional) ).
tff(f_41,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_first,S1,A1)
& iext(uri_rdf_rest,S1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ic(Z)
& ! [X] :
( icext(Z,X)
<=> ( X = A1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
tff(f_60,negated_conjecture,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
tff(c_32,plain,
! [Y_20] : iext(uri_owl_sameAs,Y_20,Y_20),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_40,plain,
iext(uri_rdf_first,'#skF_7',uri_ex_u),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_48,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_311,plain,
! [C_70,X_71] :
( icext(C_70,X_71)
| ~ iext(uri_rdf_type,X_71,C_70) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_327,plain,
icext(uri_owl_FunctionalProperty,uri_rdf_first),
inference(resolution,[status(thm)],[c_48,c_311]) ).
tff(c_38,plain,
iext(uri_rdf_first,'#skF_7',uri_ex_v),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_360,plain,
! [Y2_75,Y1_76,P_77,X_78] :
( ( Y2_75 = Y1_76 )
| ~ iext(P_77,X_78,Y2_75)
| ~ iext(P_77,X_78,Y1_76)
| ~ icext(uri_owl_FunctionalProperty,P_77) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_370,plain,
! [Y1_76] :
( ( uri_ex_v = Y1_76 )
| ~ iext(uri_rdf_first,'#skF_7',Y1_76)
| ~ icext(uri_owl_FunctionalProperty,uri_rdf_first) ),
inference(resolution,[status(thm)],[c_38,c_360]) ).
tff(c_398,plain,
! [Y1_79] :
( ( uri_ex_v = Y1_79 )
| ~ iext(uri_rdf_first,'#skF_7',Y1_79) ),
inference(demodulation,[status(thm),theory(equality)],[c_327,c_370]) ).
tff(c_407,plain,
uri_ex_v = uri_ex_u,
inference(resolution,[status(thm)],[c_40,c_398]) ).
tff(c_42,plain,
iext(uri_owl_oneOf,'#skF_6','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_36,plain,
iext(uri_rdf_rest,'#skF_7',uri_rdf_nil),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_46,plain,
iext(uri_rdf_type,uri_ex_w,'#skF_6'),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_58,plain,
! [C_25,X_26] :
( icext(C_25,X_26)
| ~ iext(uri_rdf_type,X_26,C_25) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_69,plain,
icext('#skF_6',uri_ex_w),
inference(resolution,[status(thm)],[c_46,c_58]) ).
tff(c_212,plain,
! [X_45,A1_46,Z_47,S1_48] :
( ( X_45 = A1_46 )
| ~ icext(Z_47,X_45)
| ~ iext(uri_owl_oneOf,Z_47,S1_48)
| ~ iext(uri_rdf_rest,S1_48,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1_48,A1_46) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_264,plain,
! [A1_60,S1_61] :
( ( uri_ex_w = A1_60 )
| ~ iext(uri_owl_oneOf,'#skF_6',S1_61)
| ~ iext(uri_rdf_rest,S1_61,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1_61,A1_60) ),
inference(resolution,[status(thm)],[c_69,c_212]) ).
tff(c_266,plain,
! [A1_60] :
( ( uri_ex_w = A1_60 )
| ~ iext(uri_owl_oneOf,'#skF_6','#skF_7')
| ~ iext(uri_rdf_first,'#skF_7',A1_60) ),
inference(resolution,[status(thm)],[c_36,c_264]) ).
tff(c_270,plain,
! [A1_62] :
( ( uri_ex_w = A1_62 )
| ~ iext(uri_rdf_first,'#skF_7',A1_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_266]) ).
tff(c_274,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[status(thm)],[c_40,c_270]) ).
tff(c_34,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_51,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_284,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
inference(demodulation,[status(thm),theory(equality)],[c_274,c_51]) ).
tff(c_289,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_284]) ).
tff(c_291,plain,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_292,plain,
! [Y_66,X_67] :
( ( Y_66 = X_67 )
| ~ iext(uri_owl_sameAs,X_67,Y_66) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_299,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[status(thm)],[c_291,c_292]) ).
tff(c_290,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v),
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_303,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_v),
inference(demodulation,[status(thm),theory(equality)],[c_299,c_290]) ).
tff(c_409,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
inference(demodulation,[status(thm),theory(equality)],[c_407,c_303]) ).
tff(c_413,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB023+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % 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 : n012.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 : Thu Aug 3 18:17:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.54/1.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.67/1.90
% 3.67/1.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.67/1.93
% 3.67/1.93 Inference rules
% 3.67/1.93 ----------------------
% 3.67/1.93 #Ref : 0
% 3.67/1.93 #Sup : 77
% 3.67/1.93 #Fact : 0
% 3.67/1.93 #Define : 0
% 3.67/1.93 #Split : 11
% 3.67/1.93 #Chain : 0
% 3.67/1.93 #Close : 0
% 3.67/1.93
% 3.67/1.93 Ordering : KBO
% 3.67/1.93
% 3.67/1.93 Simplification rules
% 3.67/1.93 ----------------------
% 3.67/1.93 #Subsume : 12
% 3.67/1.93 #Demod : 25
% 3.67/1.93 #Tautology : 20
% 3.67/1.93 #SimpNegUnit : 1
% 3.67/1.93 #BackRed : 14
% 3.67/1.93
% 3.67/1.93 #Partial instantiations: 0
% 3.67/1.93 #Strategies tried : 1
% 3.67/1.93
% 3.67/1.93 Timing (in seconds)
% 3.67/1.93 ----------------------
% 3.76/1.93 Preprocessing : 0.49
% 3.76/1.93 Parsing : 0.24
% 3.76/1.93 CNF conversion : 0.04
% 3.76/1.93 Main loop : 0.38
% 3.76/1.93 Inferencing : 0.15
% 3.76/1.93 Reduction : 0.11
% 3.76/1.93 Demodulation : 0.07
% 3.76/1.93 BG Simplification : 0.03
% 3.76/1.93 Subsumption : 0.07
% 3.76/1.93 Abstraction : 0.02
% 3.76/1.93 MUC search : 0.00
% 3.76/1.94 Cooper : 0.00
% 3.76/1.94 Total : 0.92
% 3.76/1.94 Index Insertion : 0.00
% 3.76/1.94 Index Deletion : 0.00
% 3.76/1.94 Index Matching : 0.00
% 3.76/1.94 BG Taut test : 0.00
%------------------------------------------------------------------------------