TSTP Solution File: SWB025+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB025+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n006.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 : Thu Aug 31 20:02:04 EDT 2023
% Result : Theorem 0.21s 0.60s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 28
% Syntax : Number of formulae : 64 ( 19 unt; 24 typ; 0 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 53 ( 4 avg)
% Number of connectives : 255 ( 100 ~; 100 |; 50 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 7 >; 16 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-5 aty)
% Number of variables : 68 ( 0 sgn; 28 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
uri_rdf_first: $i ).
tff(decl_23,type,
iext: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
uri_rdf_rest: $i ).
tff(decl_25,type,
uri_rdf_nil: $i ).
tff(decl_26,type,
uri_owl_propertyChainAxiom: $i ).
tff(decl_27,type,
ip: $i > $o ).
tff(decl_28,type,
uri_owl_inverseOf: $i ).
tff(decl_29,type,
uri_ex_hasUncle: $i ).
tff(decl_30,type,
uri_ex_alice: $i ).
tff(decl_31,type,
uri_ex_charly: $i ).
tff(decl_32,type,
uri_ex_hasCousin: $i ).
tff(decl_33,type,
uri_ex_bob: $i ).
tff(decl_34,type,
uri_ex_hasFather: $i ).
tff(decl_35,type,
uri_ex_dave: $i ).
tff(decl_36,type,
esk1_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
esk2_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
esk3_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk6_0: $i ).
tff(decl_42,type,
esk7_0: $i ).
tff(decl_43,type,
esk8_0: $i ).
tff(decl_44,type,
esk9_0: $i ).
tff(decl_45,type,
esk10_0: $i ).
fof(owl_inv,axiom,
! [X3,X5] :
( iext(uri_owl_inverseOf,X3,X5)
<=> ( ip(X3)
& ip(X5)
& ! [X9,X10] :
( iext(X3,X9,X10)
<=> iext(X5,X10,X9) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties,axiom,
? [X11,X12,X13,X14,X15] :
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X11)
& iext(uri_rdf_first,X11,uri_ex_hasCousin)
& iext(uri_rdf_rest,X11,X12)
& iext(uri_rdf_first,X12,uri_ex_hasFather)
& iext(uri_rdf_rest,X12,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X13)
& iext(uri_rdf_first,X13,uri_ex_hasUncle)
& iext(uri_rdf_rest,X13,X14)
& iext(uri_rdf_first,X14,X15)
& iext(uri_rdf_rest,X14,uri_rdf_nil)
& iext(uri_owl_inverseOf,X15,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/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(owl_chain_002,axiom,
! [X1,X2,X3,X4,X5] :
( ( iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X2,X4)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X1,X2)
<=> ( ip(X1)
& ip(X3)
& ip(X5)
& ! [X6,X7,X8] :
( ( iext(X3,X6,X7)
& iext(X5,X7,X8) )
=> iext(X1,X6,X8) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties,conjecture,
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(c_0_4,plain,
! [X27,X28,X29,X30,X31,X32,X33,X34] :
( ( ip(X27)
| ~ iext(uri_owl_inverseOf,X27,X28) )
& ( ip(X28)
| ~ iext(uri_owl_inverseOf,X27,X28) )
& ( ~ iext(X27,X29,X30)
| iext(X28,X30,X29)
| ~ iext(uri_owl_inverseOf,X27,X28) )
& ( ~ iext(X28,X32,X31)
| iext(X27,X31,X32)
| ~ iext(uri_owl_inverseOf,X27,X28) )
& ( ~ iext(X33,esk4_2(X33,X34),esk5_2(X33,X34))
| ~ iext(X34,esk5_2(X33,X34),esk4_2(X33,X34))
| ~ ip(X33)
| ~ ip(X34)
| iext(uri_owl_inverseOf,X33,X34) )
& ( iext(X33,esk4_2(X33,X34),esk5_2(X33,X34))
| iext(X34,esk5_2(X33,X34),esk4_2(X33,X34))
| ~ ip(X33)
| ~ ip(X34)
| iext(uri_owl_inverseOf,X33,X34) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_inv])])])])])]) ).
fof(c_0_5,plain,
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,esk6_0)
& iext(uri_rdf_first,esk6_0,uri_ex_hasCousin)
& iext(uri_rdf_rest,esk6_0,esk7_0)
& iext(uri_rdf_first,esk7_0,uri_ex_hasFather)
& iext(uri_rdf_rest,esk7_0,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,esk8_0)
& iext(uri_rdf_first,esk8_0,uri_ex_hasUncle)
& iext(uri_rdf_rest,esk8_0,esk9_0)
& iext(uri_rdf_first,esk9_0,esk10_0)
& iext(uri_rdf_rest,esk9_0,uri_rdf_nil)
& iext(uri_owl_inverseOf,esk10_0,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) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties])]) ).
fof(c_0_6,plain,
! [X16,X17,X18,X19,X20,X21,X22,X23] :
( ( ip(X16)
| ~ iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ip(X18)
| ~ iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ip(X20)
| ~ iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ~ iext(X18,X21,X22)
| ~ iext(X20,X22,X23)
| iext(X16,X21,X23)
| ~ iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( iext(X18,esk1_5(X16,X17,X18,X19,X20),esk2_5(X16,X17,X18,X19,X20))
| ~ ip(X16)
| ~ ip(X18)
| ~ ip(X20)
| iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( iext(X20,esk2_5(X16,X17,X18,X19,X20),esk3_5(X16,X17,X18,X19,X20))
| ~ ip(X16)
| ~ ip(X18)
| ~ ip(X20)
| iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ~ iext(X16,esk1_5(X16,X17,X18,X19,X20),esk3_5(X16,X17,X18,X19,X20))
| ~ ip(X16)
| ~ ip(X18)
| ~ ip(X20)
| iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_chain_002])])])])]) ).
cnf(c_0_7,plain,
( iext(X4,X3,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( iext(X6,X2,X5)
| ~ iext(X1,X2,X3)
| ~ iext(X4,X3,X5)
| ~ iext(uri_owl_propertyChainAxiom,X6,X7)
| ~ iext(uri_rdf_first,X7,X1)
| ~ iext(uri_rdf_rest,X7,X8)
| ~ iext(uri_rdf_first,X8,X4)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( iext(X1,uri_ex_dave,uri_ex_alice)
| ~ iext(uri_owl_inverseOf,X1,uri_ex_hasFather) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
iext(uri_owl_inverseOf,esk10_0,uri_ex_hasFather),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( iext(X1,X2,uri_ex_charly)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,uri_ex_hasFather)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X3)
| ~ iext(uri_owl_propertyChainAxiom,X1,X4)
| ~ iext(X5,X2,uri_ex_bob) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
iext(uri_rdf_first,esk6_0,uri_ex_hasCousin),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
iext(esk10_0,uri_ex_dave,uri_ex_alice),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( iext(X1,X2,uri_ex_charly)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,uri_ex_hasFather)
| ~ iext(uri_rdf_rest,esk6_0,X3)
| ~ iext(uri_owl_propertyChainAxiom,X1,esk6_0)
| ~ iext(uri_ex_hasCousin,X2,uri_ex_bob) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
iext(uri_rdf_rest,esk7_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
iext(uri_rdf_first,esk7_0,uri_ex_hasFather),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,plain,
iext(uri_rdf_rest,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,plain,
( iext(X1,X2,uri_ex_alice)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,esk10_0)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X3)
| ~ iext(uri_owl_propertyChainAxiom,X1,X4)
| ~ iext(X5,X2,uri_ex_dave) ),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_21,plain,
iext(uri_rdf_first,esk8_0,uri_ex_hasUncle),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_22,negated_conjecture,
~ ( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(c_0_23,plain,
( iext(X1,X2,uri_ex_charly)
| ~ iext(uri_owl_propertyChainAxiom,X1,esk6_0)
| ~ iext(uri_ex_hasCousin,X2,uri_ex_bob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_24,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,plain,
( iext(X1,X2,uri_ex_alice)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,esk10_0)
| ~ iext(uri_rdf_rest,esk8_0,X3)
| ~ iext(uri_owl_propertyChainAxiom,X1,esk8_0)
| ~ iext(uri_ex_hasUncle,X2,uri_ex_dave) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
iext(uri_rdf_rest,esk9_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,plain,
iext(uri_rdf_first,esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,plain,
iext(uri_rdf_rest,esk8_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_29,negated_conjecture,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(fof_nnf,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( iext(uri_ex_hasUncle,X1,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,X1,uri_ex_bob) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_32,plain,
( iext(X1,X2,uri_ex_alice)
| ~ iext(uri_owl_propertyChainAxiom,X1,esk8_0)
| ~ iext(uri_ex_hasUncle,X2,uri_ex_dave) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]) ).
cnf(c_0_33,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_34,negated_conjecture,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
( iext(uri_ex_hasCousin,X1,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,X1,uri_ex_dave) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_38,negated_conjecture,
~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_39,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB025+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 07:00:52 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.21/0.60 % Version : CSE_E---1.5
% 0.21/0.60 % Problem : theBenchmark.p
% 0.21/0.60 % Proof found
% 0.21/0.60 % SZS status Theorem for theBenchmark.p
% 0.21/0.60 % SZS output start Proof
% See solution above
% 0.21/0.61 % Total time : 0.040000 s
% 0.21/0.61 % SZS output end Proof
% 0.21/0.61 % Total time : 0.043000 s
%------------------------------------------------------------------------------