TSTP Solution File: SWB025+2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWB025+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 : n023.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 11:00:28 EDT 2023
% Result : Theorem 9.65s 3.46s
% Output : CNFRefutation 9.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 30
% Syntax : Number of formulae : 67 ( 20 unt; 26 typ; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 157 ( 68 ~; 60 |; 24 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 9 >; 18 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 17 con; 0-5 aty)
% Number of variables : 60 (; 55 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ iext > ip > #nlpp > uri_rdf_rest > uri_rdf_nil > uri_rdf_first > uri_owl_propertyChainAxiom > uri_owl_inverseOf > uri_ex_hasUncle > uri_ex_hasFather > uri_ex_hasCousin > uri_ex_dave > uri_ex_charly > uri_ex_bob > uri_ex_alice > #skF_6 > #skF_11 > #skF_2 > #skF_10 > #skF_9 > #skF_3 > #skF_1 > #skF_8 > #skF_7 > #skF_5 > #skF_12 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(uri_ex_hasUncle,type,
uri_ex_hasUncle: $i ).
tff(uri_rdf_first,type,
uri_rdf_first: $i ).
tff(uri_ex_charly,type,
uri_ex_charly: $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(uri_ex_hasCousin,type,
uri_ex_hasCousin: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i * $i ) > $i ).
tff(uri_owl_inverseOf,type,
uri_owl_inverseOf: $i ).
tff(uri_ex_bob,type,
uri_ex_bob: $i ).
tff(ip,type,
ip: $i > $o ).
tff(uri_ex_hasFather,type,
uri_ex_hasFather: $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(uri_ex_alice,type,
uri_ex_alice: $i ).
tff(uri_rdf_rest,type,
uri_rdf_rest: $i ).
tff(uri_owl_propertyChainAxiom,type,
uri_owl_propertyChainAxiom: $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i * $i ) > $i ).
tff(iext,type,
iext: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(uri_ex_dave,type,
uri_ex_dave: $i ).
tff(uri_rdf_nil,type,
uri_rdf_nil: $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_92,axiom,
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
& iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l22,BNODE_l3)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
tff(f_62,negated_conjecture,
~ ( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
tff(f_47,axiom,
! [P,S1,P1,S2,P2] :
( ( iext(uri_rdf_first,S1,P1)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S2,P2)
& iext(uri_rdf_rest,S2,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ip(P)
& ip(P1)
& ip(P2)
& ! [Y0,Y1,Y2] :
( ( iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) )
=> iext(P,Y0,Y2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
tff(f_58,axiom,
! [P1,P2] :
( iext(uri_owl_inverseOf,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).
tff(c_48,plain,
iext(uri_rdf_rest,'#skF_10','#skF_11'),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_46,plain,
iext(uri_rdf_first,'#skF_11','#skF_12'),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_44,plain,
iext(uri_rdf_rest,'#skF_11',uri_rdf_nil),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_58,plain,
iext(uri_rdf_rest,'#skF_8','#skF_9'),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_56,plain,
iext(uri_rdf_first,'#skF_9',uri_ex_hasFather),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_54,plain,
iext(uri_rdf_rest,'#skF_9',uri_rdf_nil),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_32,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_63,plain,
~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_60,plain,
iext(uri_rdf_first,'#skF_8',uri_ex_hasCousin),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_62,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,'#skF_8'),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_38,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_36,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_330,plain,
! [S1_94,Y2_98,P_93,P1_97,Y0_95,S2_92,Y1_96,P2_91] :
( iext(P_93,Y0_95,Y2_98)
| ~ iext(P2_91,Y1_96,Y2_98)
| ~ iext(P1_97,Y0_95,Y1_96)
| ~ iext(uri_owl_propertyChainAxiom,P_93,S1_94)
| ~ iext(uri_rdf_rest,S2_92,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_92,P2_91)
| ~ iext(uri_rdf_rest,S1_94,S2_92)
| ~ iext(uri_rdf_first,S1_94,P1_97) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_1347,plain,
! [S2_203,P_201,Y0_202,P1_204,S1_200] :
( iext(P_201,Y0_202,uri_ex_charly)
| ~ iext(P1_204,Y0_202,uri_ex_bob)
| ~ iext(uri_owl_propertyChainAxiom,P_201,S1_200)
| ~ iext(uri_rdf_rest,S2_203,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_203,uri_ex_hasFather)
| ~ iext(uri_rdf_rest,S1_200,S2_203)
| ~ iext(uri_rdf_first,S1_200,P1_204) ),
inference(resolution,[status(thm)],[c_36,c_330]) ).
tff(c_1354,plain,
! [P_205,S1_206,S2_207] :
( iext(P_205,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_owl_propertyChainAxiom,P_205,S1_206)
| ~ iext(uri_rdf_rest,S2_207,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_207,uri_ex_hasFather)
| ~ iext(uri_rdf_rest,S1_206,S2_207)
| ~ iext(uri_rdf_first,S1_206,uri_ex_hasCousin) ),
inference(resolution,[status(thm)],[c_38,c_1347]) ).
tff(c_1406,plain,
! [S2_207] :
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_rdf_rest,S2_207,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_207,uri_ex_hasFather)
| ~ iext(uri_rdf_rest,'#skF_8',S2_207)
| ~ iext(uri_rdf_first,'#skF_8',uri_ex_hasCousin) ),
inference(resolution,[status(thm)],[c_62,c_1354]) ).
tff(c_1426,plain,
! [S2_207] :
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_rdf_rest,S2_207,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_207,uri_ex_hasFather)
| ~ iext(uri_rdf_rest,'#skF_8',S2_207) ),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_1406]) ).
tff(c_1428,plain,
! [S2_208] :
( ~ iext(uri_rdf_rest,S2_208,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_208,uri_ex_hasFather)
| ~ iext(uri_rdf_rest,'#skF_8',S2_208) ),
inference(negUnitSimplification,[status(thm)],[c_63,c_1426]) ).
tff(c_1432,plain,
( ~ iext(uri_rdf_first,'#skF_9',uri_ex_hasFather)
| ~ iext(uri_rdf_rest,'#skF_8','#skF_9') ),
inference(resolution,[status(thm)],[c_54,c_1428]) ).
tff(c_1437,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58,c_56,c_1432]) ).
tff(c_1438,plain,
~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_50,plain,
iext(uri_rdf_first,'#skF_10',uri_ex_hasUncle),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_52,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,'#skF_10'),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_34,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_42,plain,
iext(uri_owl_inverseOf,'#skF_12',uri_ex_hasFather),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_40,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_1499,plain,
! [P1_217,X_218,Y_219,P2_220] :
( iext(P1_217,X_218,Y_219)
| ~ iext(P2_220,Y_219,X_218)
| ~ iext(uri_owl_inverseOf,P1_217,P2_220) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_1577,plain,
! [P1_246] :
( iext(P1_246,uri_ex_dave,uri_ex_alice)
| ~ iext(uri_owl_inverseOf,P1_246,uri_ex_hasFather) ),
inference(resolution,[status(thm)],[c_40,c_1499]) ).
tff(c_1580,plain,
iext('#skF_12',uri_ex_dave,uri_ex_alice),
inference(resolution,[status(thm)],[c_42,c_1577]) ).
tff(c_1713,plain,
! [S1_281,Y0_282,S2_279,P_280,Y1_283,Y2_285,P2_278,P1_284] :
( iext(P_280,Y0_282,Y2_285)
| ~ iext(P2_278,Y1_283,Y2_285)
| ~ iext(P1_284,Y0_282,Y1_283)
| ~ iext(uri_owl_propertyChainAxiom,P_280,S1_281)
| ~ iext(uri_rdf_rest,S2_279,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_279,P2_278)
| ~ iext(uri_rdf_rest,S1_281,S2_279)
| ~ iext(uri_rdf_first,S1_281,P1_284) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_5251,plain,
! [S2_546,P1_549,P_550,Y0_548,S1_547] :
( iext(P_550,Y0_548,uri_ex_alice)
| ~ iext(P1_549,Y0_548,uri_ex_dave)
| ~ iext(uri_owl_propertyChainAxiom,P_550,S1_547)
| ~ iext(uri_rdf_rest,S2_546,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_546,'#skF_12')
| ~ iext(uri_rdf_rest,S1_547,S2_546)
| ~ iext(uri_rdf_first,S1_547,P1_549) ),
inference(resolution,[status(thm)],[c_1580,c_1713]) ).
tff(c_5384,plain,
! [P_557,S1_558,S2_559] :
( iext(P_557,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_owl_propertyChainAxiom,P_557,S1_558)
| ~ iext(uri_rdf_rest,S2_559,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_559,'#skF_12')
| ~ iext(uri_rdf_rest,S1_558,S2_559)
| ~ iext(uri_rdf_first,S1_558,uri_ex_hasUncle) ),
inference(resolution,[status(thm)],[c_34,c_5251]) ).
tff(c_5452,plain,
! [S2_559] :
( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_rdf_rest,S2_559,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_559,'#skF_12')
| ~ iext(uri_rdf_rest,'#skF_10',S2_559)
| ~ iext(uri_rdf_first,'#skF_10',uri_ex_hasUncle) ),
inference(resolution,[status(thm)],[c_52,c_5384]) ).
tff(c_5479,plain,
! [S2_559] :
( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_rdf_rest,S2_559,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_559,'#skF_12')
| ~ iext(uri_rdf_rest,'#skF_10',S2_559) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_5452]) ).
tff(c_5482,plain,
! [S2_560] :
( ~ iext(uri_rdf_rest,S2_560,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2_560,'#skF_12')
| ~ iext(uri_rdf_rest,'#skF_10',S2_560) ),
inference(negUnitSimplification,[status(thm)],[c_1438,c_5479]) ).
tff(c_5484,plain,
( ~ iext(uri_rdf_first,'#skF_11','#skF_12')
| ~ iext(uri_rdf_rest,'#skF_10','#skF_11') ),
inference(resolution,[status(thm)],[c_44,c_5482]) ).
tff(c_5490,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48,c_46,c_5484]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWB025+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % 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
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 18:43:07 EDT 2023
% 0.14/0.36 % CPUTime :
% 9.65/3.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.65/3.47
% 9.65/3.47 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.65/3.50
% 9.65/3.50 Inference rules
% 9.65/3.50 ----------------------
% 9.65/3.50 #Ref : 0
% 9.65/3.50 #Sup : 1335
% 9.65/3.50 #Fact : 0
% 9.65/3.50 #Define : 0
% 9.65/3.50 #Split : 38
% 9.65/3.50 #Chain : 0
% 9.65/3.50 #Close : 0
% 9.65/3.50
% 9.65/3.50 Ordering : KBO
% 9.65/3.50
% 9.65/3.50 Simplification rules
% 9.65/3.50 ----------------------
% 9.65/3.51 #Subsume : 553
% 9.65/3.51 #Demod : 45
% 9.65/3.51 #Tautology : 26
% 9.65/3.51 #SimpNegUnit : 12
% 9.65/3.51 #BackRed : 10
% 9.65/3.51
% 9.65/3.51 #Partial instantiations: 0
% 9.65/3.51 #Strategies tried : 1
% 9.65/3.51
% 9.65/3.51 Timing (in seconds)
% 9.65/3.51 ----------------------
% 9.65/3.51 Preprocessing : 0.49
% 9.65/3.51 Parsing : 0.27
% 9.65/3.51 CNF conversion : 0.04
% 9.65/3.51 Main loop : 1.93
% 9.65/3.51 Inferencing : 0.64
% 9.65/3.51 Reduction : 0.47
% 9.65/3.51 Demodulation : 0.32
% 9.65/3.51 BG Simplification : 0.05
% 9.65/3.51 Subsumption : 0.65
% 9.65/3.51 Abstraction : 0.05
% 9.65/3.51 MUC search : 0.00
% 9.65/3.51 Cooper : 0.00
% 9.65/3.51 Total : 2.48
% 9.65/3.51 Index Insertion : 0.00
% 9.65/3.51 Index Deletion : 0.00
% 9.65/3.51 Index Matching : 0.00
% 9.65/3.51 BG Taut test : 0.00
%------------------------------------------------------------------------------