TSTP Solution File: SWB025+2 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n021.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 : 600s
% DateTime : Tue Jul 19 19:07:02 EDT 2022
% Result : Theorem 12.46s 12.71s
% Output : CNFRefutation 12.46s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(owl_inv,axiom,
! [P1,P2] :
( iext(uri_owl_inverseOf,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) ) ) ),
input ).
fof(owl_inv_0,plain,
! [P1,P2] :
( iext(uri_owl_inverseOf,P1,P2)
| ~ ( ip(P1)
& ip(P2)
& ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) ) ) ),
inference(orientation,[status(thm)],[owl_inv]) ).
fof(owl_inv_1,plain,
! [P1,P2] :
( ~ iext(uri_owl_inverseOf,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) ) ) ),
inference(orientation,[status(thm)],[owl_inv]) ).
fof(def_lhs_atom1,axiom,
! [P2,P1] :
( lhs_atom1(P2,P1)
<=> ~ iext(uri_owl_inverseOf,P1,P2) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [P1,P2] :
( lhs_atom1(P2,P1)
| ( ip(P1)
& ip(P2)
& ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) ) ) ),
inference(fold_definition,[status(thm)],[owl_inv_1,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [P2,P1] :
( lhs_atom2(P2,P1)
<=> iext(uri_owl_inverseOf,P1,P2) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [P1,P2] :
( lhs_atom2(P2,P1)
| ~ ( ip(P1)
& ip(P2)
& ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) ) ) ),
inference(fold_definition,[status(thm)],[owl_inv_0,def_lhs_atom2]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ ( ip(X2)
& ip(X1)
& ! [X3,X4] :
( iext(X2,X3,X4)
<=> iext(X1,X4,X3) ) ) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_1,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ( ip(X2)
& ip(X1)
& ! [X3,X4] :
( iext(X2,X3,X4)
<=> iext(X1,X4,X3) ) ) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_2,axiom,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ ( ip(X2)
& ip(X1)
& ! [X3,X4] :
( iext(X2,X3,X4)
<=> iext(X1,X4,X3) ) ) ),
c_0_0 ).
fof(c_0_3,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ( ip(X2)
& ip(X1)
& ! [X3,X4] :
( iext(X2,X3,X4)
<=> iext(X1,X4,X3) ) ) ),
c_0_1 ).
fof(c_0_4,plain,
! [X5,X6] :
( ( ~ iext(X6,esk1_2(X5,X6),esk2_2(X5,X6))
| ~ iext(X5,esk2_2(X5,X6),esk1_2(X5,X6))
| ~ ip(X5)
| ~ ip(X6)
| lhs_atom2(X5,X6) )
& ( iext(X6,esk1_2(X5,X6),esk2_2(X5,X6))
| iext(X5,esk2_2(X5,X6),esk1_2(X5,X6))
| ~ ip(X5)
| ~ ip(X6)
| lhs_atom2(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
fof(c_0_5,plain,
! [X5,X6,X7,X8,X9,X10] :
( ( ip(X6)
| lhs_atom1(X5,X6) )
& ( ip(X5)
| lhs_atom1(X5,X6) )
& ( ~ iext(X6,X7,X8)
| iext(X5,X8,X7)
| lhs_atom1(X5,X6) )
& ( ~ iext(X5,X10,X9)
| iext(X6,X9,X10)
| lhs_atom1(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
cnf(c_0_6,plain,
( lhs_atom2(X1,X2)
| ~ ip(X2)
| ~ ip(X1)
| ~ iext(X1,esk2_2(X1,X2),esk1_2(X1,X2))
| ~ iext(X2,esk1_2(X1,X2),esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( lhs_atom2(X1,X2)
| iext(X1,esk2_2(X1,X2),esk1_2(X1,X2))
| iext(X2,esk1_2(X1,X2),esk2_2(X1,X2))
| ~ ip(X2)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( lhs_atom1(X1,X2)
| iext(X1,X3,X4)
| ~ iext(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( lhs_atom1(X1,X2)
| iext(X2,X3,X4)
| ~ iext(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( lhs_atom1(X1,X2)
| ip(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( lhs_atom1(X1,X2)
| ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( lhs_atom2(X1,X2)
| ~ ip(X2)
| ~ ip(X1)
| ~ iext(X1,esk2_2(X1,X2),esk1_2(X1,X2))
| ~ iext(X2,esk1_2(X1,X2),esk2_2(X1,X2)) ),
c_0_6,
[final] ).
cnf(c_0_13,plain,
( lhs_atom2(X1,X2)
| iext(X1,esk2_2(X1,X2),esk1_2(X1,X2))
| iext(X2,esk1_2(X1,X2),esk2_2(X1,X2))
| ~ ip(X2)
| ~ ip(X1) ),
c_0_7,
[final] ).
cnf(c_0_14,plain,
( lhs_atom1(X1,X2)
| iext(X1,X3,X4)
| ~ iext(X2,X4,X3) ),
c_0_8,
[final] ).
cnf(c_0_15,plain,
( lhs_atom1(X1,X2)
| iext(X2,X3,X4)
| ~ iext(X1,X4,X3) ),
c_0_9,
[final] ).
cnf(c_0_16,plain,
( lhs_atom1(X1,X2)
| ip(X2) ),
c_0_10,
[final] ).
cnf(c_0_17,plain,
( lhs_atom1(X1,X2)
| ip(X1) ),
c_0_11,
[final] ).
% End CNF derivation
cnf(c_0_12_0,axiom,
( iext(uri_owl_inverseOf,X2,X1)
| ~ ip(X2)
| ~ ip(X1)
| ~ iext(X1,sk1_esk2_2(X1,X2),sk1_esk1_2(X1,X2))
| ~ iext(X2,sk1_esk1_2(X1,X2),sk1_esk2_2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_12,def_lhs_atom2]) ).
cnf(c_0_13_0,axiom,
( iext(uri_owl_inverseOf,X2,X1)
| iext(X1,sk1_esk2_2(X1,X2),sk1_esk1_2(X1,X2))
| iext(X2,sk1_esk1_2(X1,X2),sk1_esk2_2(X1,X2))
| ~ ip(X2)
| ~ ip(X1) ),
inference(unfold_definition,[status(thm)],[c_0_13,def_lhs_atom2]) ).
cnf(c_0_14_0,axiom,
( ~ iext(uri_owl_inverseOf,X2,X1)
| iext(X1,X3,X4)
| ~ iext(X2,X4,X3) ),
inference(unfold_definition,[status(thm)],[c_0_14,def_lhs_atom1]) ).
cnf(c_0_15_0,axiom,
( ~ iext(uri_owl_inverseOf,X2,X1)
| iext(X2,X3,X4)
| ~ iext(X1,X4,X3) ),
inference(unfold_definition,[status(thm)],[c_0_15,def_lhs_atom1]) ).
cnf(c_0_16_0,axiom,
( ~ iext(uri_owl_inverseOf,X2,X1)
| ip(X2) ),
inference(unfold_definition,[status(thm)],[c_0_16,def_lhs_atom1]) ).
cnf(c_0_17_0,axiom,
( ~ iext(uri_owl_inverseOf,X2,X1)
| ip(X1) ),
inference(unfold_definition,[status(thm)],[c_0_17,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X6,X7,X8,X9,X10] :
( ( iext(uri_rdf_first,X7,X8)
& iext(uri_rdf_rest,X7,X9)
& iext(uri_rdf_first,X9,X10)
& iext(uri_rdf_rest,X9,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X6,X7)
<=> ( ip(X6)
& ip(X8)
& ip(X10)
& ! [X11,X12,X13] :
( ( iext(X8,X11,X12)
& iext(X10,X12,X13) )
=> iext(X6,X11,X13) ) ) ) ),
file('<stdin>',owl_chain_002) ).
fof(c_0_1_002,axiom,
? [X1,X2,X3,X4,X5] :
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X1)
& iext(uri_rdf_first,X1,uri_ex_hasCousin)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X2,uri_ex_hasFather)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X3)
& iext(uri_rdf_first,X3,uri_ex_hasUncle)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_owl_inverseOf,X5,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('<stdin>',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(c_0_2_003,axiom,
! [X6,X7,X8,X9,X10] :
( ( iext(uri_rdf_first,X7,X8)
& iext(uri_rdf_rest,X7,X9)
& iext(uri_rdf_first,X9,X10)
& iext(uri_rdf_rest,X9,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X6,X7)
<=> ( ip(X6)
& ip(X8)
& ip(X10)
& ! [X11,X12,X13] :
( ( iext(X8,X11,X12)
& iext(X10,X12,X13) )
=> iext(X6,X11,X13) ) ) ) ),
c_0_0 ).
fof(c_0_3_004,axiom,
? [X1,X2,X3,X4,X5] :
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X1)
& iext(uri_rdf_first,X1,uri_ex_hasCousin)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X2,uri_ex_hasFather)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X3)
& iext(uri_rdf_first,X3,uri_ex_hasUncle)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_owl_inverseOf,X5,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) ),
c_0_1 ).
fof(c_0_4_005,plain,
! [X14,X15,X16,X17,X18,X19,X20,X21] :
( ( ip(X14)
| ~ iext(uri_owl_propertyChainAxiom,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ip(X16)
| ~ iext(uri_owl_propertyChainAxiom,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ip(X18)
| ~ iext(uri_owl_propertyChainAxiom,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ~ iext(X16,X19,X20)
| ~ iext(X18,X20,X21)
| iext(X14,X19,X21)
| ~ iext(uri_owl_propertyChainAxiom,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( iext(X16,esk6_5(X14,X15,X16,X17,X18),esk7_5(X14,X15,X16,X17,X18))
| ~ ip(X18)
| ~ ip(X16)
| ~ ip(X14)
| iext(uri_owl_propertyChainAxiom,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( iext(X18,esk7_5(X14,X15,X16,X17,X18),esk8_5(X14,X15,X16,X17,X18))
| ~ ip(X18)
| ~ ip(X16)
| ~ ip(X14)
| iext(uri_owl_propertyChainAxiom,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ~ iext(X14,esk6_5(X14,X15,X16,X17,X18),esk8_5(X14,X15,X16,X17,X18))
| ~ ip(X18)
| ~ ip(X16)
| ~ ip(X14)
| iext(uri_owl_propertyChainAxiom,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,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)],[c_0_2])])])])]) ).
fof(c_0_5_006,plain,
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,esk1_0)
& iext(uri_rdf_first,esk1_0,uri_ex_hasCousin)
& iext(uri_rdf_rest,esk1_0,esk2_0)
& iext(uri_rdf_first,esk2_0,uri_ex_hasFather)
& iext(uri_rdf_rest,esk2_0,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,esk3_0)
& iext(uri_rdf_first,esk3_0,uri_ex_hasUncle)
& iext(uri_rdf_rest,esk3_0,esk4_0)
& iext(uri_rdf_first,esk4_0,esk5_0)
& iext(uri_rdf_rest,esk4_0,uri_rdf_nil)
& iext(uri_owl_inverseOf,esk5_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)],[inference(shift_quantors,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6_007,plain,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2)
| ~ iext(X5,esk6_5(X5,X3,X4,X1,X2),esk8_5(X5,X3,X4,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7_008,plain,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| iext(X4,esk6_5(X5,X3,X4,X1,X2),esk7_5(X5,X3,X4,X1,X2))
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8_009,plain,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| iext(X2,esk7_5(X5,X3,X4,X1,X2),esk8_5(X5,X3,X4,X1,X2))
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9_010,plain,
( iext(X5,X6,X7)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(X2,X8,X7)
| ~ iext(X4,X6,X8) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10_011,plain,
( ip(X5)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11_012,plain,
( ip(X4)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12_013,plain,
( ip(X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13_014,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14_015,plain,
iext(uri_rdf_first,esk1_0,uri_ex_hasCousin),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15_016,plain,
iext(uri_rdf_rest,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16_017,plain,
iext(uri_rdf_first,esk2_0,uri_ex_hasFather),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17_018,plain,
iext(uri_rdf_rest,esk2_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,plain,
iext(uri_rdf_first,esk3_0,uri_ex_hasUncle),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,plain,
iext(uri_rdf_rest,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,plain,
iext(uri_rdf_first,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_22,plain,
iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,plain,
iext(uri_owl_inverseOf,esk5_0,uri_ex_hasFather),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_26,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,plain,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2)
| ~ iext(X5,esk6_5(X5,X3,X4,X1,X2),esk8_5(X5,X3,X4,X1,X2)) ),
c_0_6,
[final] ).
cnf(c_0_29,plain,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| iext(X4,esk6_5(X5,X3,X4,X1,X2),esk7_5(X5,X3,X4,X1,X2))
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
c_0_7,
[final] ).
cnf(c_0_30,plain,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| iext(X2,esk7_5(X5,X3,X4,X1,X2),esk8_5(X5,X3,X4,X1,X2))
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
c_0_8,
[final] ).
cnf(c_0_31,plain,
( iext(X5,X6,X7)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(X2,X8,X7)
| ~ iext(X4,X6,X8) ),
c_0_9,
[final] ).
cnf(c_0_32,plain,
( ip(X5)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
c_0_10,
[final] ).
cnf(c_0_33,plain,
( ip(X4)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
c_0_11,
[final] ).
cnf(c_0_34,plain,
( ip(X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
c_0_12,
[final] ).
cnf(c_0_35,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,esk1_0),
c_0_13,
[final] ).
cnf(c_0_36,plain,
iext(uri_rdf_first,esk1_0,uri_ex_hasCousin),
c_0_14,
[final] ).
cnf(c_0_37,plain,
iext(uri_rdf_rest,esk1_0,esk2_0),
c_0_15,
[final] ).
cnf(c_0_38,plain,
iext(uri_rdf_first,esk2_0,uri_ex_hasFather),
c_0_16,
[final] ).
cnf(c_0_39,plain,
iext(uri_rdf_rest,esk2_0,uri_rdf_nil),
c_0_17,
[final] ).
cnf(c_0_40,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,esk3_0),
c_0_18,
[final] ).
cnf(c_0_41,plain,
iext(uri_rdf_first,esk3_0,uri_ex_hasUncle),
c_0_19,
[final] ).
cnf(c_0_42,plain,
iext(uri_rdf_rest,esk3_0,esk4_0),
c_0_20,
[final] ).
cnf(c_0_43,plain,
iext(uri_rdf_first,esk4_0,esk5_0),
c_0_21,
[final] ).
cnf(c_0_44,plain,
iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
c_0_22,
[final] ).
cnf(c_0_45,plain,
iext(uri_owl_inverseOf,esk5_0,uri_ex_hasFather),
c_0_23,
[final] ).
cnf(c_0_46,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
c_0_24,
[final] ).
cnf(c_0_47,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
c_0_25,
[final] ).
cnf(c_0_48,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
c_0_26,
[final] ).
cnf(c_0_49,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
c_0_27,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_28_0,axiom,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2)
| ~ iext(X5,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_1,axiom,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2)
| ~ iext(X5,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_2,axiom,
( ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2)
| ~ iext(X5,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_3,axiom,
( ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2)
| ~ iext(X5,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_4,axiom,
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2)
| ~ iext(X5,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_5,axiom,
( ~ ip(X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X4)
| ~ ip(X2)
| ~ iext(X5,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_6,axiom,
( ~ ip(X4)
| ~ ip(X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X2)
| ~ iext(X5,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_7,axiom,
( ~ ip(X2)
| ~ ip(X4)
| ~ ip(X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(X5,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_8,axiom,
( ~ iext(X5,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2))
| ~ ip(X2)
| ~ ip(X4)
| ~ ip(X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_29_0,axiom,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| iext(X4,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk7_5(X5,X3,X4,X1,X2))
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_1,axiom,
( iext(X4,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk7_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_2,axiom,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X4,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk7_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_3,axiom,
( ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X4,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk7_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_4,axiom,
( ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X4,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk7_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_5,axiom,
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X4,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk7_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_6,axiom,
( ~ ip(X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X4,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk7_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_7,axiom,
( ~ ip(X4)
| ~ ip(X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X4,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk7_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_8,axiom,
( ~ ip(X2)
| ~ ip(X4)
| ~ ip(X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X4,sk2_esk6_5(X5,X3,X4,X1,X2),sk2_esk7_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_30_0,axiom,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| iext(X2,sk2_esk7_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2))
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_1,axiom,
( iext(X2,sk2_esk7_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_2,axiom,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X2,sk2_esk7_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_3,axiom,
( ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X2,sk2_esk7_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_4,axiom,
( ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X2,sk2_esk7_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_5,axiom,
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X2,sk2_esk7_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X5)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_6,axiom,
( ~ ip(X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X2,sk2_esk7_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_7,axiom,
( ~ ip(X4)
| ~ ip(X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X2,sk2_esk7_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_8,axiom,
( ~ ip(X2)
| ~ ip(X4)
| ~ ip(X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X2,sk2_esk7_5(X5,X3,X4,X1,X2),sk2_esk8_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_31_0,axiom,
( iext(X5,X6,X7)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(X2,X8,X7)
| ~ iext(X4,X6,X8) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_1,axiom,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X5,X6,X7)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(X2,X8,X7)
| ~ iext(X4,X6,X8) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_2,axiom,
( ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X5,X6,X7)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(X2,X8,X7)
| ~ iext(X4,X6,X8) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_3,axiom,
( ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X5,X6,X7)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(X2,X8,X7)
| ~ iext(X4,X6,X8) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_4,axiom,
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X5,X6,X7)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(X2,X8,X7)
| ~ iext(X4,X6,X8) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_5,axiom,
( ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X5,X6,X7)
| ~ iext(X2,X8,X7)
| ~ iext(X4,X6,X8) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_6,axiom,
( ~ iext(X2,X8,X7)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X5,X6,X7)
| ~ iext(X4,X6,X8) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_7,axiom,
( ~ iext(X4,X6,X8)
| ~ iext(X2,X8,X7)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_32_0,axiom,
( ip(X5)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_32]) ).
cnf(c_0_32_1,axiom,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X5)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_32]) ).
cnf(c_0_32_2,axiom,
( ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X5)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_32]) ).
cnf(c_0_32_3,axiom,
( ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_32]) ).
cnf(c_0_32_4,axiom,
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X5)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_32]) ).
cnf(c_0_32_5,axiom,
( ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X5) ),
inference(literals_permutation,[status(thm)],[c_0_32]) ).
cnf(c_0_33_0,axiom,
( ip(X4)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_33_1,axiom,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X4)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_33_2,axiom,
( ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_33_3,axiom,
( ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X4)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_33_4,axiom,
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_33_5,axiom,
( ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X4) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_34_0,axiom,
( ip(X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_34_1,axiom,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X2)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_34_2,axiom,
( ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_34_3,axiom,
( ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X2)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_34_4,axiom,
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X2)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_34_5,axiom,
( ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_35_0,axiom,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_35]) ).
cnf(c_0_36_0,axiom,
iext(uri_rdf_first,sk2_esk1_0,uri_ex_hasCousin),
inference(literals_permutation,[status(thm)],[c_0_36]) ).
cnf(c_0_37_0,axiom,
iext(uri_rdf_rest,sk2_esk1_0,sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_37]) ).
cnf(c_0_38_0,axiom,
iext(uri_rdf_first,sk2_esk2_0,uri_ex_hasFather),
inference(literals_permutation,[status(thm)],[c_0_38]) ).
cnf(c_0_39_0,axiom,
iext(uri_rdf_rest,sk2_esk2_0,uri_rdf_nil),
inference(literals_permutation,[status(thm)],[c_0_39]) ).
cnf(c_0_40_0,axiom,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_41_0,axiom,
iext(uri_rdf_first,sk2_esk3_0,uri_ex_hasUncle),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_42_0,axiom,
iext(uri_rdf_rest,sk2_esk3_0,sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_43_0,axiom,
iext(uri_rdf_first,sk2_esk4_0,sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_44_0,axiom,
iext(uri_rdf_rest,sk2_esk4_0,uri_rdf_nil),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_45_0,axiom,
iext(uri_owl_inverseOf,sk2_esk5_0,uri_ex_hasFather),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_46_0,axiom,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_47_0,axiom,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_48_0,axiom,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_49_0,axiom,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_019,conjecture,
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
file('<stdin>',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(c_0_1_020,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)],[c_0_0]) ).
fof(c_0_2_021,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_1]) ).
cnf(c_0_3_022,negated_conjecture,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_023,negated_conjecture,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_27,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(uri_rdf_rest,X6,X7)
| ~ iext(uri_rdf_first,X7,X3)
| ~ iext(uri_rdf_rest,X7,uri_rdf_nil)
| iext(X5,X1,X4) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_31_0) ).
cnf(c_116,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(uri_rdf_rest,X6,X7)
| ~ iext(uri_rdf_first,X7,X3)
| ~ iext(uri_rdf_rest,X7,uri_rdf_nil)
| iext(X5,X1,X4) ),
inference(copy,[status(esa)],[c_27]) ).
cnf(c_55751,plain,
( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_rest,sk2_esk4_0,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,sk2_esk4_0)
| ~ iext(uri_rdf_first,sk2_esk4_0,X2)
| ~ iext(uri_rdf_first,X1,X3)
| ~ iext(X3,X4,X5)
| ~ iext(X2,X5,X6)
| iext(X0,X4,X6) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_55861,plain,
( ~ iext(uri_owl_propertyChainAxiom,X0,sk2_esk3_0)
| ~ iext(uri_rdf_rest,sk2_esk3_0,sk2_esk4_0)
| ~ iext(uri_rdf_rest,sk2_esk4_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk2_esk3_0,X1)
| ~ iext(uri_rdf_first,sk2_esk4_0,X2)
| ~ iext(X1,X3,X4)
| ~ iext(X2,X4,X5)
| iext(X0,X3,X5) ),
inference(instantiation,[status(thm)],[c_55751]) ).
cnf(c_55954,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sk2_esk3_0)
| ~ iext(uri_rdf_rest,sk2_esk3_0,sk2_esk4_0)
| ~ iext(uri_rdf_rest,sk2_esk4_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk2_esk3_0,X0)
| ~ iext(uri_rdf_first,sk2_esk4_0,X1)
| iext(uri_ex_hasCousin,X2,X3)
| ~ iext(X0,X2,X4)
| ~ iext(X1,X4,X3) ),
inference(instantiation,[status(thm)],[c_55861]) ).
cnf(c_56076,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sk2_esk3_0)
| ~ iext(uri_rdf_rest,sk2_esk3_0,sk2_esk4_0)
| ~ iext(uri_rdf_rest,sk2_esk4_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk2_esk3_0,uri_ex_hasUncle)
| ~ iext(uri_rdf_first,sk2_esk4_0,X0)
| ~ iext(uri_ex_hasUncle,X1,X2)
| iext(uri_ex_hasCousin,X1,X3)
| ~ iext(X0,X2,X3) ),
inference(instantiation,[status(thm)],[c_55954]) ).
cnf(c_56163,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sk2_esk3_0)
| ~ iext(uri_rdf_rest,sk2_esk3_0,sk2_esk4_0)
| ~ iext(uri_rdf_rest,sk2_esk4_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk2_esk3_0,uri_ex_hasUncle)
| ~ iext(uri_rdf_first,sk2_esk4_0,sk2_esk5_0)
| ~ iext(uri_ex_hasUncle,X0,X1)
| iext(uri_ex_hasCousin,X0,X2)
| ~ iext(sk2_esk5_0,X1,X2) ),
inference(instantiation,[status(thm)],[c_56076]) ).
cnf(c_122237,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sk2_esk3_0)
| ~ iext(uri_rdf_rest,sk2_esk3_0,sk2_esk4_0)
| ~ iext(uri_rdf_rest,sk2_esk4_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk2_esk3_0,uri_ex_hasUncle)
| ~ iext(uri_rdf_first,sk2_esk4_0,sk2_esk5_0)
| ~ iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
| iext(uri_ex_hasCousin,uri_ex_bob,X0)
| ~ iext(sk2_esk5_0,uri_ex_dave,X0) ),
inference(instantiation,[status(thm)],[c_56163]) ).
cnf(c_122697,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sk2_esk3_0)
| ~ iext(uri_rdf_rest,sk2_esk3_0,sk2_esk4_0)
| ~ iext(uri_rdf_rest,sk2_esk4_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk2_esk3_0,uri_ex_hasUncle)
| ~ iext(uri_rdf_first,sk2_esk4_0,sk2_esk5_0)
| ~ iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
| iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(sk2_esk5_0,uri_ex_dave,uri_ex_alice) ),
inference(instantiation,[status(thm)],[c_122237]) ).
cnf(c_55750,plain,
( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_rest,sk2_esk2_0,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,sk2_esk2_0)
| ~ iext(uri_rdf_first,sk2_esk2_0,X2)
| ~ iext(uri_rdf_first,X1,X3)
| ~ iext(X3,X4,X5)
| ~ iext(X2,X5,X6)
| iext(X0,X4,X6) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_55860,plain,
( ~ iext(uri_owl_propertyChainAxiom,X0,sk2_esk1_0)
| ~ iext(uri_rdf_rest,sk2_esk1_0,sk2_esk2_0)
| ~ iext(uri_rdf_rest,sk2_esk2_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk2_esk1_0,X1)
| ~ iext(uri_rdf_first,sk2_esk2_0,X2)
| ~ iext(X1,X3,X4)
| ~ iext(X2,X4,X5)
| iext(X0,X3,X5) ),
inference(instantiation,[status(thm)],[c_55750]) ).
cnf(c_55952,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sk2_esk1_0)
| ~ iext(uri_rdf_rest,sk2_esk1_0,sk2_esk2_0)
| ~ iext(uri_rdf_rest,sk2_esk2_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk2_esk1_0,X0)
| ~ iext(uri_rdf_first,sk2_esk2_0,X1)
| iext(uri_ex_hasUncle,X2,X3)
| ~ iext(X0,X2,X4)
| ~ iext(X1,X4,X3) ),
inference(instantiation,[status(thm)],[c_55860]) ).
cnf(c_56074,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sk2_esk1_0)
| ~ iext(uri_rdf_rest,sk2_esk1_0,sk2_esk2_0)
| ~ iext(uri_rdf_rest,sk2_esk2_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk2_esk1_0,uri_ex_hasCousin)
| ~ iext(uri_rdf_first,sk2_esk2_0,X0)
| iext(uri_ex_hasUncle,X1,X2)
| ~ iext(uri_ex_hasCousin,X1,X3)
| ~ iext(X0,X3,X2) ),
inference(instantiation,[status(thm)],[c_55952]) ).
cnf(c_56161,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sk2_esk1_0)
| ~ iext(uri_rdf_rest,sk2_esk1_0,sk2_esk2_0)
| ~ iext(uri_rdf_rest,sk2_esk2_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk2_esk1_0,uri_ex_hasCousin)
| ~ iext(uri_rdf_first,sk2_esk2_0,uri_ex_hasFather)
| iext(uri_ex_hasUncle,X0,X1)
| ~ iext(uri_ex_hasCousin,X0,X2)
| ~ iext(uri_ex_hasFather,X2,X1) ),
inference(instantiation,[status(thm)],[c_56074]) ).
cnf(c_122231,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sk2_esk1_0)
| ~ iext(uri_rdf_rest,sk2_esk1_0,sk2_esk2_0)
| ~ iext(uri_rdf_rest,sk2_esk2_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk2_esk1_0,uri_ex_hasCousin)
| ~ iext(uri_rdf_first,sk2_esk2_0,uri_ex_hasFather)
| iext(uri_ex_hasUncle,uri_ex_alice,X0)
| ~ iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
| ~ iext(uri_ex_hasFather,uri_ex_bob,X0) ),
inference(instantiation,[status(thm)],[c_56161]) ).
cnf(c_122696,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sk2_esk1_0)
| ~ iext(uri_rdf_rest,sk2_esk1_0,sk2_esk2_0)
| ~ iext(uri_rdf_rest,sk2_esk2_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk2_esk1_0,uri_ex_hasCousin)
| ~ iext(uri_rdf_first,sk2_esk2_0,uri_ex_hasFather)
| iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
| ~ iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly) ),
inference(instantiation,[status(thm)],[c_122231]) ).
cnf(c_70,plain,
( ~ iext(X0,X1,X2)
| iext(X3,X2,X1)
| ~ iext(uri_owl_inverseOf,X3,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_15_0) ).
cnf(c_159,plain,
( ~ iext(X0,X1,X2)
| iext(X3,X2,X1)
| ~ iext(uri_owl_inverseOf,X3,X0) ),
inference(copy,[status(esa)],[c_70]) ).
cnf(c_55708,plain,
( ~ iext(uri_ex_hasFather,X0,X1)
| iext(sk2_esk5_0,X1,X0)
| ~ iext(uri_owl_inverseOf,sk2_esk5_0,uri_ex_hasFather) ),
inference(instantiation,[status(thm)],[c_159]) ).
cnf(c_55840,plain,
( ~ iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
| iext(sk2_esk5_0,uri_ex_dave,uri_ex_alice)
| ~ iext(uri_owl_inverseOf,sk2_esk5_0,uri_ex_hasFather) ),
inference(instantiation,[status(thm)],[c_55708]) ).
cnf(c_53,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sk2_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_35_0) ).
cnf(c_54,plain,
iext(uri_rdf_first,sk2_esk1_0,uri_ex_hasCousin),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_36_0) ).
cnf(c_55,plain,
iext(uri_rdf_rest,sk2_esk1_0,sk2_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_37_0) ).
cnf(c_56,plain,
iext(uri_rdf_first,sk2_esk2_0,uri_ex_hasFather),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_38_0) ).
cnf(c_57,plain,
iext(uri_rdf_rest,sk2_esk2_0,uri_rdf_nil),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_39_0) ).
cnf(c_58,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sk2_esk3_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_40_0) ).
cnf(c_59,plain,
iext(uri_rdf_first,sk2_esk3_0,uri_ex_hasUncle),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_41_0) ).
cnf(c_60,plain,
iext(uri_rdf_rest,sk2_esk3_0,sk2_esk4_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_42_0) ).
cnf(c_61,plain,
iext(uri_rdf_first,sk2_esk4_0,sk2_esk5_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_43_0) ).
cnf(c_62,plain,
iext(uri_rdf_rest,sk2_esk4_0,uri_rdf_nil),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_44_0) ).
cnf(c_63,plain,
iext(uri_owl_inverseOf,sk2_esk5_0,uri_ex_hasFather),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_45_0) ).
cnf(c_64,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_46_0) ).
cnf(c_65,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_47_0) ).
cnf(c_66,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_48_0) ).
cnf(c_67,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
file('/export/starexec/sandbox/tmp/iprover_modulo_9c251b.p',c_0_49_0) ).
cnf(c_74,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/tmp/iprover_modulo_9c251b.p',c_0_4) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_122697,c_122696,c_55840,c_53,c_54,c_55,c_56,c_57,c_58,c_59,c_60,c_61,c_62,c_63,c_64,c_65,c_66,c_67,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.14 % Command : iprover_modulo %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 08:23:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Running in mono-core mode
% 0.20/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41 % FOF problem with conjecture
% 0.20/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_b77afe.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_9c251b.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_cc117a | grep -v "SZS"
% 0.20/0.44
% 0.20/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ iProver source info
% 0.20/0.44
% 0.20/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.44 % git: non_committed_changes: true
% 0.20/0.44 % git: last_make_outside_of_git: true
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.45 % --bmc1_dump_file -
% 0.20/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.45 % --bmc1_ucm_extend_mode 1
% 0.20/0.45 % --bmc1_ucm_init_mode 2
% 0.20/0.45 % --bmc1_ucm_cone_mode none
% 0.20/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.45 % --bmc1_ucm_relax_model 4
% 0.20/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.45 % --bmc1_ucm_layered_model none
% 0.20/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.45
% 0.20/0.45 % ------ AIG Options
% 0.20/0.45
% 0.20/0.45 % --aig_mode false
% 0.20/0.45
% 0.20/0.45 % ------ Instantiation Options
% 0.20/0.45
% 0.20/0.45 % --instantiation_flag true
% 0.20/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45 % --inst_solver_per_active 750
% 0.20/0.45 % --inst_solver_calls_frac 0.5
% 0.20/0.45 % --inst_passive_queue_type priority_queues
% 0.20/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45 % --inst_passive_queues_freq [25;2]
% 0.20/0.45 % --inst_dismatching true
% 0.20/0.45 % --inst_eager_unprocessed_to_passive true
% 0.20/0.45 % --inst_prop_sim_given true
% 0.20/0.45 % --inst_prop_sim_new false
% 0.20/0.45 % --inst_orphan_elimination true
% 0.20/0.45 % --inst_learning_loop_flag true
% 0.20/0.45 % --inst_learning_start 3000
% 0.20/0.45 % --inst_learning_factor 2
% 0.20/0.45 % --inst_start_prop_sim_after_learn 3
% 0.20/0.45 % --inst_sel_renew solver
% 0.20/0.45 % --inst_lit_activity_flag true
% 0.20/0.45 % --inst_out_proof true
% 0.20/0.45
% 0.20/0.45 % ------ Resolution Options
% 0.20/0.45
% 0.20/0.45 % --resolution_flag true
% 0.20/0.45 % --res_lit_sel kbo_max
% 0.20/0.45 % --res_to_prop_solver none
% 0.20/0.45 % --res_prop_simpl_new false
% 0.20/0.45 % --res_prop_simpl_given false
% 0.20/0.45 % --res_passive_queue_type priority_queues
% 0.20/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.45 % --res_passive_queues_freq [15;5]
% 0.20/0.45 % --res_forward_subs full
% 0.20/0.45 % --res_backward_subs full
% 0.20/0.45 % --res_forward_subs_resolution true
% 0.20/0.45 % --res_backward_subs_resolution true
% 0.20/0.45 % --res_orphan_elimination false
% 0.20/0.45 % --res_time_limit 1000.
% 0.20/0.45 % --res_out_proof true
% 0.20/0.45 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_b77afe.s
% 0.20/0.45 % --modulo true
% 0.20/0.45
% 0.20/0.45 % ------ Combination Options
% 0.20/0.45
% 0.20/0.45 % --comb_res_mult 1000
% 0.20/0.45 % --comb_inst_mult 300
% 0.20/0.45 % ------
% 0.20/0.45
% 0.20/0.45 % ------ Parsing...% successful
% 0.20/0.45
% 0.20/0.45 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.45
% 0.20/0.45 % ------ Proving...
% 0.20/0.45 % ------ Problem Properties
% 0.20/0.45
% 0.20/0.45 %
% 0.20/0.45 % EPR false
% 0.20/0.45 % Horn false
% 0.20/0.45 % Has equality false
% 0.20/0.45
% 0.20/0.45 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % % ------ Current options:
% 0.20/0.45
% 0.20/0.45 % ------ Input Options
% 0.20/0.45
% 0.20/0.45 % --out_options all
% 0.20/0.45 % --tptp_safe_out true
% 0.20/0.45 % --problem_path ""
% 0.20/0.45 % --include_path ""
% 0.20/0.45 % --clausifier .//eprover
% 0.20/0.45 % --clausifier_options --tstp-format
% 0.20/0.45 % --stdin false
% 0.20/0.45 % --dbg_backtrace false
% 0.20/0.45 % --dbg_dump_prop_clauses false
% 0.20/0.45 % --dbg_dump_prop_clauses_file -
% 0.20/0.45 % --dbg_out_stat false
% 0.20/0.45
% 0.20/0.45 % ------ General Options
% 0.20/0.45
% 0.20/0.45 % --fof false
% 0.20/0.45 % --time_out_real 150.
% 0.20/0.45 % --time_out_prep_mult 0.2
% 0.20/0.45 % --time_out_virtual -1.
% 0.20/0.45 % --schedule none
% 0.20/0.45 % --ground_splitting input
% 0.20/0.45 % --splitting_nvd 16
% 0.20/0.45 % --non_eq_to_eq false
% 0.20/0.45 % --prep_gs_sim true
% 0.20/0.45 % --prep_unflatten false
% 0.20/0.45 % --prep_res_sim true
% 0.20/0.45 % --prep_upred true
% 0.20/0.45 % --res_sim_input true
% 0.20/0.45 % --clause_weak_htbl true
% 0.20/0.45 % --gc_record_bc_elim false
% 0.20/0.45 % --symbol_type_check false
% 0.20/0.45 % --clausify_out false
% 0.20/0.45 % --large_theory_mode false
% 0.20/0.45 % --prep_sem_filter none
% 0.20/0.45 % --prep_sem_filter_out false
% 0.20/0.45 % --preprocessed_out false
% 0.20/0.45 % --sub_typing false
% 0.20/0.45 % --brand_transform false
% 0.20/0.45 % --pure_diseq_elim true
% 0.20/0.45 % --min_unsat_core false
% 0.20/0.45 % --pred_elim true
% 0.20/0.45 % --add_important_lit false
% 0.20/0.45 % --soft_assumptions false
% 0.20/0.45 % --reset_solvers false
% 0.20/0.45 % --bc_imp_inh []
% 0.20/0.45 % --conj_cone_tolerance 1.5
% 0.20/0.45 % --prolific_symb_bound 500
% 0.20/0.45 % --lt_threshold 2000
% 0.20/0.45
% 0.20/0.45 % ------ SAT Options
% 0.20/0.45
% 0.20/0.45 % --sat_mode false
% 0.20/0.45 % --sat_fm_restart_options ""
% 0.20/0.45 % --sat_gr_def false
% 0.20/0.45 % --sat_epr_types true
% 0.20/0.45 % --sat_non_cyclic_types false
% 0.20/0.45 % --sat_finite_models false
% 0.20/0.45 % --sat_fm_lemmas false
% 0.20/0.45 % --sat_fm_prep false
% 0.20/0.45 % --sat_fm_uc_incr true
% 0.20/0.45 % --sat_out_model small
% 0.20/0.45 % --sat_out_clauses false
% 0.20/0.45
% 0.20/0.45 % ------ QBF Options
% 0.20/0.45
% 0.20/0.45 % --qbf_mode false
% 0.20/0.45 % --qbf_elim_univ true
% 0.20/0.45 % --qbf_sk_in true
% 0.20/0.45 % --qbf_pred_elim true
% 0.20/0.45 % --qbf_split 32
% 0.20/0.45
% 0.20/0.45 % ------ BMC1 Options
% 0.20/0.45
% 0.20/0.45 % --bmc1_incremental false
% 0.20/0.45 % --bmc1_axioms reachable_all
% 0.20/0.45 % --bmc1_min_bound 0
% 0.20/0.45 % --bmc1_max_bound -1
% 0.20/0.45 % --bmc1_max_bound_default -1
% 0.20/0.45 % --bmc1_symbol_reachability true
% 0.20/0.45 % --bmc1_property_lemmas false
% 0.20/0.45 % --bmc1_k_induction false
% 0.20/0.45 % --bmc1_non_equiv_states false
% 0.20/0.45 % --bmc1_deadlock false
% 0.20/0.45 % --bmc1_ucm false
% 0.20/0.45 % --bmc1_add_unsat_core none
% 0.20/0.45 % --bmc1_unsat_core_children false
% 0.20/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.45 % --bmc1_out_stat full
% 0.20/0.45 % --bmc1_ground_init false
% 0.20/0.45 % --bmc1_pre_inst_next_state false
% 0.20/0.45 % --bmc1_pre_inst_state false
% 0.20/0.45 % --bmc1_pre_inst_reach_state false
% 0.20/0.45 % --bmc1_out_unsat_core false
% 0.20/0.45 % --bmc1_aig_witness_out false
% 0.20/0.45 % --bmc1_verbose false
% 0.20/0.45 % --bmc1_dump_clauses_tptp false
% 0.20/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.45 % --bmc1_dump_file -
% 0.20/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.45 % --bmc1_ucm_extend_mode 1
% 0.20/0.45 % --bmc1_ucm_init_mode 2
% 0.20/0.45 % --bmc1_ucm_cone_mode none
% 0.20/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.45 % --bmc1_ucm_relax_model 4
% 0.20/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.45 % --bmc1_ucm_layered_model none
% 0.20/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.45
% 0.20/0.45 % ------ AIG Options
% 0.20/0.45
% 0.20/0.45 % --aig_mode false
% 0.20/0.45
% 0.20/0.45 % ------ Instantiation Options
% 0.20/0.45
% 0.20/0.45 % --instantiation_flag true
% 0.20/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45 % --inst_solver_per_active 750
% 0.20/0.45 % --inst_solver_calls_frac 0.5
% 0.20/0.45 % --inst_passive_queue_type priority_queues
% 0.20/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45 % --inst_passive_queues_freq [25;2]
% 0.20/0.45 % --inst_dismatching true
% 0.20/0.45 % --inst_eager_unprocessed_to_passive true
% 0.20/0.45 % --inst_prop_sim_given true
% 12.46/12.70 % --inst_prop_sim_new false
% 12.46/12.70 % --inst_orphan_elimination true
% 12.46/12.70 % --inst_learning_loop_flag true
% 12.46/12.70 % --inst_learning_start 3000
% 12.46/12.70 % --inst_learning_factor 2
% 12.46/12.70 % --inst_start_prop_sim_after_learn 3
% 12.46/12.70 % --inst_sel_renew solver
% 12.46/12.70 % --inst_lit_activity_flag true
% 12.46/12.70 % --inst_out_proof true
% 12.46/12.70
% 12.46/12.70 % ------ Resolution Options
% 12.46/12.70
% 12.46/12.70 % --resolution_flag true
% 12.46/12.70 % --res_lit_sel kbo_max
% 12.46/12.70 % --res_to_prop_solver none
% 12.46/12.70 % --res_prop_simpl_new false
% 12.46/12.70 % --res_prop_simpl_given false
% 12.46/12.70 % --res_passive_queue_type priority_queues
% 12.46/12.70 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 12.46/12.70 % --res_passive_queues_freq [15;5]
% 12.46/12.70 % --res_forward_subs full
% 12.46/12.70 % --res_backward_subs full
% 12.46/12.70 % --res_forward_subs_resolution true
% 12.46/12.70 % --res_backward_subs_resolution true
% 12.46/12.70 % --res_orphan_elimination false
% 12.46/12.70 % --res_time_limit 1000.
% 12.46/12.70 % --res_out_proof true
% 12.46/12.70 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_b77afe.s
% 12.46/12.70 % --modulo true
% 12.46/12.70
% 12.46/12.70 % ------ Combination Options
% 12.46/12.70
% 12.46/12.70 % --comb_res_mult 1000
% 12.46/12.70 % --comb_inst_mult 300
% 12.46/12.70 % ------
% 12.46/12.70
% 12.46/12.70
% 12.46/12.70
% 12.46/12.70 % ------ Proving...
% 12.46/12.70 %
% 12.46/12.70
% 12.46/12.70
% 12.46/12.70 % ------ Statistics
% 12.46/12.70
% 12.46/12.70 % ------ General
% 12.46/12.70
% 12.46/12.70 % num_of_input_clauses: 75
% 12.46/12.70 % num_of_input_neg_conjectures: 1
% 12.46/12.70 % num_of_splits: 0
% 12.46/12.70 % num_of_split_atoms: 0
% 12.46/12.70 % num_of_sem_filtered_clauses: 0
% 12.46/12.70 % num_of_subtypes: 0
% 12.46/12.70 % monotx_restored_types: 0
% 12.46/12.70 % sat_num_of_epr_types: 0
% 12.46/12.70 % sat_num_of_non_cyclic_types: 0
% 12.46/12.70 % sat_guarded_non_collapsed_types: 0
% 12.46/12.70 % is_epr: 0
% 12.46/12.70 % is_horn: 0
% 12.46/12.70 % has_eq: 0
% 12.46/12.70 % num_pure_diseq_elim: 0
% 12.46/12.70 % simp_replaced_by: 0
% 12.46/12.70 % res_preprocessed: 2
% 12.46/12.70 % prep_upred: 0
% 12.46/12.70 % prep_unflattend: 0
% 12.46/12.70 % pred_elim_cands: 0
% 12.46/12.70 % pred_elim: 0
% 12.46/12.70 % pred_elim_cl: 0
% 12.46/12.70 % pred_elim_cycles: 0
% 12.46/12.70 % forced_gc_time: 0
% 12.46/12.70 % gc_basic_clause_elim: 0
% 12.46/12.70 % parsing_time: 0.007
% 12.46/12.70 % sem_filter_time: 0.
% 12.46/12.70 % pred_elim_time: 0.
% 12.46/12.70 % out_proof_time: 0.001
% 12.46/12.70 % monotx_time: 0.
% 12.46/12.70 % subtype_inf_time: 0.
% 12.46/12.70 % unif_index_cands_time: 0.007
% 12.46/12.70 % unif_index_add_time: 0.006
% 12.46/12.70 % total_time: 12.283
% 12.46/12.70 % num_of_symbols: 49
% 12.46/12.70 % num_of_terms: 37389
% 12.46/12.70
% 12.46/12.70 % ------ Propositional Solver
% 12.46/12.70
% 12.46/12.70 % prop_solver_calls: 12
% 12.46/12.70 % prop_fast_solver_calls: 6
% 12.46/12.70 % prop_num_of_clauses: 1458
% 12.46/12.70 % prop_preprocess_simplified: 1964
% 12.46/12.70 % prop_fo_subsumed: 0
% 12.46/12.70 % prop_solver_time: 0.
% 12.46/12.70 % prop_fast_solver_time: 0.
% 12.46/12.70 % prop_unsat_core_time: 0.
% 12.46/12.70
% 12.46/12.70 % ------ QBF
% 12.46/12.70
% 12.46/12.70 % qbf_q_res: 0
% 12.46/12.70 % qbf_num_tautologies: 0
% 12.46/12.70 % qbf_prep_cycles: 0
% 12.46/12.70
% 12.46/12.70 % ------ BMC1
% 12.46/12.70
% 12.46/12.70 % bmc1_current_bound: -1
% 12.46/12.70 % bmc1_last_solved_bound: -1
% 12.46/12.70 % bmc1_unsat_core_size: -1
% 12.46/12.70 % bmc1_unsat_core_parents_size: -1
% 12.46/12.70 % bmc1_merge_next_fun: 0
% 12.46/12.70 % bmc1_unsat_core_clauses_time: 0.
% 12.46/12.70
% 12.46/12.70 % ------ Instantiation
% 12.46/12.70
% 12.46/12.70 % inst_num_of_clauses: 901
% 12.46/12.70 % inst_num_in_passive: 217
% 12.46/12.70 % inst_num_in_active: 683
% 12.46/12.70 % inst_num_in_unprocessed: 0
% 12.46/12.70 % inst_num_of_loops: 705
% 12.46/12.71 % inst_num_of_learning_restarts: 0
% 12.46/12.71 % inst_num_moves_active_passive: 15
% 12.46/12.71 % inst_lit_activity: 305
% 12.46/12.71 % inst_lit_activity_moves: 0
% 12.46/12.71 % inst_num_tautologies: 0
% 12.46/12.71 % inst_num_prop_implied: 0
% 12.46/12.71 % inst_num_existing_simplified: 0
% 12.46/12.71 % inst_num_eq_res_simplified: 0
% 12.46/12.71 % inst_num_child_elim: 0
% 12.46/12.71 % inst_num_of_dismatching_blockings: 0
% 12.46/12.71 % inst_num_of_non_proper_insts: 816
% 12.46/12.71 % inst_num_of_duplicates: 278
% 12.46/12.71 % inst_inst_num_from_inst_to_res: 0
% 12.46/12.71 % inst_dismatching_checking_time: 0.
% 12.46/12.71
% 12.46/12.71 % ------ Resolution
% 12.46/12.71
% 12.46/12.71 % res_num_of_clauses: 20779
% 12.46/12.71 % res_num_in_passive: 17677
% 12.46/12.71 % res_num_in_active: 3043
% 12.46/12.71 % res_num_of_loops: 3000
% 12.46/12.71 % res_forward_subset_subsumed: 31
% 12.46/12.71 % res_backward_subset_subsumed: 0
% 12.46/12.71 % res_forward_subsumed: 0
% 12.46/12.71 % res_backward_subsumed: 0
% 12.46/12.71 % res_forward_subsumption_resolution: 824
% 12.46/12.71 % res_backward_subsumption_resolution: 0
% 12.46/12.71 % res_clause_to_clause_subsumption: 245654
% 12.46/12.71 % res_orphan_elimination: 0
% 12.46/12.71 % res_tautology_del: 4
% 12.46/12.71 % res_num_eq_res_simplified: 0
% 12.46/12.71 % res_num_sel_changes: 0
% 12.46/12.71 % res_moves_from_active_to_pass: 0
% 12.46/12.71
% 12.46/12.71 % Status Unsatisfiable
% 12.46/12.71 % SZS status Theorem
% 12.46/12.71 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------