TSTP Solution File: SWB027+2 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWB027+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n025.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 19:07:10 EDT 2022
% Result : Theorem 7.08s 7.26s
% Output : CNFRefutation 7.08s
% 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(owl_char_inversefunctional,axiom,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1,X2,Y] :
( ( iext(P,X1,Y)
& iext(P,X2,Y) )
=> X1 = X2 ) ) ),
input ).
fof(owl_char_inversefunctional_0,plain,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ip(P)
& ! [X1,X2,Y] :
( ( iext(P,X1,Y)
& iext(P,X2,Y) )
=> X1 = X2 ) ) ),
inference(orientation,[status(thm)],[owl_char_inversefunctional]) ).
fof(owl_char_inversefunctional_1,plain,
! [P] :
( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1,X2,Y] :
( ( iext(P,X1,Y)
& iext(P,X2,Y) )
=> X1 = X2 ) ) ),
inference(orientation,[status(thm)],[owl_char_inversefunctional]) ).
fof(owl_eqdis_sameas,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
input ).
fof(owl_eqdis_sameas_0,plain,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
| X != Y ),
inference(orientation,[status(thm)],[owl_eqdis_sameas]) ).
fof(owl_eqdis_sameas_1,plain,
! [X,Y] :
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ),
inference(orientation,[status(thm)],[owl_eqdis_sameas]) ).
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
input ).
fof(rdfs_cext_def_0,plain,
! [C,X] :
( iext(uri_rdf_type,X,C)
| ~ icext(C,X) ),
inference(orientation,[status(thm)],[rdfs_cext_def]) ).
fof(rdfs_cext_def_1,plain,
! [C,X] :
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(orientation,[status(thm)],[rdfs_cext_def]) ).
fof(def_lhs_atom1,axiom,
! [X,C] :
( lhs_atom1(X,C)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [C,X] :
( lhs_atom1(X,C)
| icext(C,X) ),
inference(fold_definition,[status(thm)],[rdfs_cext_def_1,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [X,C] :
( lhs_atom2(X,C)
<=> iext(uri_rdf_type,X,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [C,X] :
( lhs_atom2(X,C)
| ~ icext(C,X) ),
inference(fold_definition,[status(thm)],[rdfs_cext_def_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [Y,X] :
( lhs_atom3(Y,X)
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [X,Y] :
( lhs_atom3(Y,X)
| X = Y ),
inference(fold_definition,[status(thm)],[owl_eqdis_sameas_1,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [Y,X] :
( lhs_atom4(Y,X)
<=> iext(uri_owl_sameAs,X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [X,Y] :
( lhs_atom4(Y,X)
| X != Y ),
inference(fold_definition,[status(thm)],[owl_eqdis_sameas_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [P] :
( lhs_atom5(P)
<=> ~ icext(uri_owl_InverseFunctionalProperty,P) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [P] :
( lhs_atom5(P)
| ( ip(P)
& ! [X1,X2,Y] :
( ( iext(P,X1,Y)
& iext(P,X2,Y) )
=> X1 = X2 ) ) ),
inference(fold_definition,[status(thm)],[owl_char_inversefunctional_1,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [P] :
( lhs_atom6(P)
<=> icext(uri_owl_InverseFunctionalProperty,P) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [P] :
( lhs_atom6(P)
| ~ ( ip(P)
& ! [X1,X2,Y] :
( ( iext(P,X1,Y)
& iext(P,X2,Y) )
=> X1 = X2 ) ) ),
inference(fold_definition,[status(thm)],[owl_char_inversefunctional_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [P2,P1] :
( lhs_atom7(P2,P1)
<=> ~ iext(uri_owl_inverseOf,P1,P2) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [P1,P2] :
( lhs_atom7(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_atom7]) ).
fof(def_lhs_atom8,axiom,
! [P2,P1] :
( lhs_atom8(P2,P1)
<=> iext(uri_owl_inverseOf,P1,P2) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [P1,P2] :
( lhs_atom8(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_atom8]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X7,X8] :
( lhs_atom8(X7,X8)
| ~ ( ip(X8)
& ip(X7)
& ! [X1,X3] :
( iext(X8,X1,X3)
<=> iext(X7,X3,X1) ) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_1,axiom,
! [X4] :
( lhs_atom5(X4)
| ( ip(X4)
& ! [X5,X6,X3] :
( ( iext(X4,X5,X3)
& iext(X4,X6,X3) )
=> X5 = X6 ) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_2,axiom,
! [X7,X8] :
( lhs_atom7(X7,X8)
| ( ip(X8)
& ip(X7)
& ! [X1,X3] :
( iext(X8,X1,X3)
<=> iext(X7,X3,X1) ) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_3,axiom,
! [X4] :
( lhs_atom6(X4)
| ~ ( ip(X4)
& ! [X5,X6,X3] :
( ( iext(X4,X5,X3)
& iext(X4,X6,X3) )
=> X5 = X6 ) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_4,axiom,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ icext(X2,X1) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_5,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| icext(X2,X1) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_6,axiom,
! [X3,X1] :
( lhs_atom4(X3,X1)
| X1 != X3 ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_7,axiom,
! [X3,X1] :
( lhs_atom3(X3,X1)
| X1 = X3 ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_8,axiom,
! [X7,X8] :
( lhs_atom8(X7,X8)
| ~ ( ip(X8)
& ip(X7)
& ! [X1,X3] :
( iext(X8,X1,X3)
<=> iext(X7,X3,X1) ) ) ),
c_0_0 ).
fof(c_0_9,axiom,
! [X4] :
( lhs_atom5(X4)
| ( ip(X4)
& ! [X5,X6,X3] :
( ( iext(X4,X5,X3)
& iext(X4,X6,X3) )
=> X5 = X6 ) ) ),
c_0_1 ).
fof(c_0_10,axiom,
! [X7,X8] :
( lhs_atom7(X7,X8)
| ( ip(X8)
& ip(X7)
& ! [X1,X3] :
( iext(X8,X1,X3)
<=> iext(X7,X3,X1) ) ) ),
c_0_2 ).
fof(c_0_11,axiom,
! [X4] :
( lhs_atom6(X4)
| ~ ( ip(X4)
& ! [X5,X6,X3] :
( ( iext(X4,X5,X3)
& iext(X4,X6,X3) )
=> X5 = X6 ) ) ),
c_0_3 ).
fof(c_0_12,plain,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ icext(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_13,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| icext(X2,X1) ),
c_0_5 ).
fof(c_0_14,plain,
! [X3,X1] :
( lhs_atom4(X3,X1)
| X1 != X3 ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_15,axiom,
! [X3,X1] :
( lhs_atom3(X3,X1)
| X1 = X3 ),
c_0_7 ).
fof(c_0_16,plain,
! [X9,X10] :
( ( ~ iext(X10,esk4_2(X9,X10),esk5_2(X9,X10))
| ~ iext(X9,esk5_2(X9,X10),esk4_2(X9,X10))
| ~ ip(X9)
| ~ ip(X10)
| lhs_atom8(X9,X10) )
& ( iext(X10,esk4_2(X9,X10),esk5_2(X9,X10))
| iext(X9,esk5_2(X9,X10),esk4_2(X9,X10))
| ~ ip(X9)
| ~ ip(X10)
| lhs_atom8(X9,X10) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_17,plain,
! [X7,X8,X9,X10] :
( ( ip(X7)
| lhs_atom5(X7) )
& ( ~ iext(X7,X8,X10)
| ~ iext(X7,X9,X10)
| X8 = X9
| lhs_atom5(X7) ) ),
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_9])])])])]) ).
fof(c_0_18,plain,
! [X9,X10,X11,X12,X13,X14] :
( ( ip(X10)
| lhs_atom7(X9,X10) )
& ( ip(X9)
| lhs_atom7(X9,X10) )
& ( ~ iext(X10,X11,X12)
| iext(X9,X12,X11)
| lhs_atom7(X9,X10) )
& ( ~ iext(X9,X14,X13)
| iext(X10,X13,X14)
| lhs_atom7(X9,X10) ) ),
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_10])])])])]) ).
fof(c_0_19,plain,
! [X7] :
( ( iext(X7,esk1_1(X7),esk3_1(X7))
| ~ ip(X7)
| lhs_atom6(X7) )
& ( iext(X7,esk2_1(X7),esk3_1(X7))
| ~ ip(X7)
| lhs_atom6(X7) )
& ( esk1_1(X7) != esk2_1(X7)
| ~ ip(X7)
| lhs_atom6(X7) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).
fof(c_0_20,plain,
! [X3,X4] :
( lhs_atom2(X3,X4)
| ~ icext(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_12]) ).
fof(c_0_21,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| icext(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_13]) ).
fof(c_0_22,plain,
! [X4,X5] :
( lhs_atom4(X4,X5)
| X5 != X4 ),
inference(variable_rename,[status(thm)],[c_0_14]) ).
fof(c_0_23,plain,
! [X4,X5] :
( lhs_atom3(X4,X5)
| X5 = X4 ),
inference(variable_rename,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( lhs_atom8(X1,X2)
| ~ ip(X2)
| ~ ip(X1)
| ~ iext(X1,esk5_2(X1,X2),esk4_2(X1,X2))
| ~ iext(X2,esk4_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( lhs_atom8(X1,X2)
| iext(X1,esk5_2(X1,X2),esk4_2(X1,X2))
| iext(X2,esk4_2(X1,X2),esk5_2(X1,X2))
| ~ ip(X2)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( lhs_atom5(X1)
| X2 = X3
| ~ iext(X1,X3,X4)
| ~ iext(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,plain,
( lhs_atom7(X1,X2)
| iext(X1,X3,X4)
| ~ iext(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( lhs_atom7(X1,X2)
| iext(X2,X3,X4)
| ~ iext(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( lhs_atom6(X1)
| iext(X1,esk1_1(X1),esk3_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( lhs_atom6(X1)
| iext(X1,esk2_1(X1),esk3_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,plain,
( lhs_atom2(X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
( icext(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
( lhs_atom6(X1)
| ~ ip(X1)
| esk1_1(X1) != esk2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_34,plain,
( lhs_atom7(X1,X2)
| ip(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_35,plain,
( lhs_atom7(X1,X2)
| ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_36,plain,
( lhs_atom4(X2,X1)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_37,plain,
( X1 = X2
| lhs_atom3(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_38,plain,
( lhs_atom5(X1)
| ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_39,plain,
( lhs_atom8(X1,X2)
| ~ ip(X2)
| ~ ip(X1)
| ~ iext(X1,esk5_2(X1,X2),esk4_2(X1,X2))
| ~ iext(X2,esk4_2(X1,X2),esk5_2(X1,X2)) ),
c_0_24,
[final] ).
cnf(c_0_40,plain,
( lhs_atom8(X1,X2)
| iext(X1,esk5_2(X1,X2),esk4_2(X1,X2))
| iext(X2,esk4_2(X1,X2),esk5_2(X1,X2))
| ~ ip(X2)
| ~ ip(X1) ),
c_0_25,
[final] ).
cnf(c_0_41,plain,
( lhs_atom5(X1)
| X2 = X3
| ~ iext(X1,X3,X4)
| ~ iext(X1,X2,X4) ),
c_0_26,
[final] ).
cnf(c_0_42,plain,
( lhs_atom7(X1,X2)
| iext(X1,X3,X4)
| ~ iext(X2,X4,X3) ),
c_0_27,
[final] ).
cnf(c_0_43,plain,
( lhs_atom7(X1,X2)
| iext(X2,X3,X4)
| ~ iext(X1,X4,X3) ),
c_0_28,
[final] ).
cnf(c_0_44,plain,
( lhs_atom6(X1)
| iext(X1,esk1_1(X1),esk3_1(X1))
| ~ ip(X1) ),
c_0_29,
[final] ).
cnf(c_0_45,plain,
( lhs_atom6(X1)
| iext(X1,esk2_1(X1),esk3_1(X1))
| ~ ip(X1) ),
c_0_30,
[final] ).
cnf(c_0_46,plain,
( lhs_atom2(X2,X1)
| ~ icext(X1,X2) ),
c_0_31,
[final] ).
cnf(c_0_47,plain,
( icext(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_32,
[final] ).
cnf(c_0_48,plain,
( lhs_atom6(X1)
| ~ ip(X1)
| esk2_1(X1) != esk1_1(X1) ),
c_0_33,
[final] ).
cnf(c_0_49,plain,
( lhs_atom7(X1,X2)
| ip(X2) ),
c_0_34,
[final] ).
cnf(c_0_50,plain,
( lhs_atom7(X1,X2)
| ip(X1) ),
c_0_35,
[final] ).
cnf(c_0_51,plain,
( lhs_atom4(X2,X1)
| X1 != X2 ),
c_0_36,
[final] ).
cnf(c_0_52,plain,
( X1 = X2
| lhs_atom3(X2,X1) ),
c_0_37,
[final] ).
cnf(c_0_53,plain,
( lhs_atom5(X1)
| ip(X1) ),
c_0_38,
[final] ).
% End CNF derivation
cnf(c_0_39_0,axiom,
( iext(uri_owl_inverseOf,X2,X1)
| ~ ip(X2)
| ~ ip(X1)
| ~ iext(X1,sk1_esk5_2(X1,X2),sk1_esk4_2(X1,X2))
| ~ iext(X2,sk1_esk4_2(X1,X2),sk1_esk5_2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_39,def_lhs_atom8]) ).
cnf(c_0_40_0,axiom,
( iext(uri_owl_inverseOf,X2,X1)
| iext(X1,sk1_esk5_2(X1,X2),sk1_esk4_2(X1,X2))
| iext(X2,sk1_esk4_2(X1,X2),sk1_esk5_2(X1,X2))
| ~ ip(X2)
| ~ ip(X1) ),
inference(unfold_definition,[status(thm)],[c_0_40,def_lhs_atom8]) ).
cnf(c_0_41_0,axiom,
( ~ icext(uri_owl_InverseFunctionalProperty,X1)
| X2 = X3
| ~ iext(X1,X3,X4)
| ~ iext(X1,X2,X4) ),
inference(unfold_definition,[status(thm)],[c_0_41,def_lhs_atom5]) ).
cnf(c_0_42_0,axiom,
( ~ iext(uri_owl_inverseOf,X2,X1)
| iext(X1,X3,X4)
| ~ iext(X2,X4,X3) ),
inference(unfold_definition,[status(thm)],[c_0_42,def_lhs_atom7]) ).
cnf(c_0_43_0,axiom,
( ~ iext(uri_owl_inverseOf,X2,X1)
| iext(X2,X3,X4)
| ~ iext(X1,X4,X3) ),
inference(unfold_definition,[status(thm)],[c_0_43,def_lhs_atom7]) ).
cnf(c_0_44_0,axiom,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,sk1_esk1_1(X1),sk1_esk3_1(X1))
| ~ ip(X1) ),
inference(unfold_definition,[status(thm)],[c_0_44,def_lhs_atom6]) ).
cnf(c_0_45_0,axiom,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,sk1_esk2_1(X1),sk1_esk3_1(X1))
| ~ ip(X1) ),
inference(unfold_definition,[status(thm)],[c_0_45,def_lhs_atom6]) ).
cnf(c_0_46_0,axiom,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_46,def_lhs_atom2]) ).
cnf(c_0_47_0,axiom,
( ~ iext(uri_rdf_type,X2,X1)
| icext(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_47,def_lhs_atom1]) ).
cnf(c_0_48_0,axiom,
( icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1)
| sk1_esk2_1(X1) != sk1_esk1_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_48,def_lhs_atom6]) ).
cnf(c_0_49_0,axiom,
( ~ iext(uri_owl_inverseOf,X2,X1)
| ip(X2) ),
inference(unfold_definition,[status(thm)],[c_0_49,def_lhs_atom7]) ).
cnf(c_0_50_0,axiom,
( ~ iext(uri_owl_inverseOf,X2,X1)
| ip(X1) ),
inference(unfold_definition,[status(thm)],[c_0_50,def_lhs_atom7]) ).
cnf(c_0_51_0,axiom,
( iext(uri_owl_sameAs,X1,X2)
| X1 != X2 ),
inference(unfold_definition,[status(thm)],[c_0_51,def_lhs_atom4]) ).
cnf(c_0_52_0,axiom,
( ~ iext(uri_owl_sameAs,X1,X2)
| X1 = X2 ),
inference(unfold_definition,[status(thm)],[c_0_52,def_lhs_atom3]) ).
cnf(c_0_53_0,axiom,
( ~ icext(uri_owl_InverseFunctionalProperty,X1)
| ip(X1) ),
inference(unfold_definition,[status(thm)],[c_0_53,def_lhs_atom5]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X4,X5,X6,X7,X8] :
( ( iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X5,X7)
& iext(uri_rdf_first,X7,X8)
& iext(uri_rdf_rest,X7,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X4,X5)
<=> ( ip(X4)
& ip(X6)
& ip(X8)
& ! [X9,X10,X11] :
( ( iext(X6,X9,X10)
& iext(X8,X10,X11) )
=> iext(X4,X9,X11) ) ) ) ),
file('<stdin>',owl_chain_002) ).
fof(c_0_1_002,axiom,
? [X1,X2,X3] :
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X1)
& iext(uri_rdf_first,X1,uri_ex_p)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_owl_inverseOf,X3,uri_ex_p) ),
file('<stdin>',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
fof(c_0_2_003,axiom,
! [X4,X5,X6,X7,X8] :
( ( iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X5,X7)
& iext(uri_rdf_first,X7,X8)
& iext(uri_rdf_rest,X7,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X4,X5)
<=> ( ip(X4)
& ip(X6)
& ip(X8)
& ! [X9,X10,X11] :
( ( iext(X6,X9,X10)
& iext(X8,X10,X11) )
=> iext(X4,X9,X11) ) ) ) ),
c_0_0 ).
fof(c_0_3_004,axiom,
? [X1,X2,X3] :
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X1)
& iext(uri_rdf_first,X1,uri_ex_p)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_owl_inverseOf,X3,uri_ex_p) ),
c_0_1 ).
fof(c_0_4_005,plain,
! [X12,X13,X14,X15,X16,X17,X18,X19] :
( ( ip(X12)
| ~ iext(uri_owl_propertyChainAxiom,X12,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,uri_rdf_nil) )
& ( ip(X14)
| ~ iext(uri_owl_propertyChainAxiom,X12,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,uri_rdf_nil) )
& ( ip(X16)
| ~ iext(uri_owl_propertyChainAxiom,X12,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,uri_rdf_nil) )
& ( ~ iext(X14,X17,X18)
| ~ iext(X16,X18,X19)
| iext(X12,X17,X19)
| ~ iext(uri_owl_propertyChainAxiom,X12,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,uri_rdf_nil) )
& ( iext(X14,esk4_5(X12,X13,X14,X15,X16),esk5_5(X12,X13,X14,X15,X16))
| ~ ip(X16)
| ~ ip(X14)
| ~ ip(X12)
| iext(uri_owl_propertyChainAxiom,X12,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,uri_rdf_nil) )
& ( iext(X16,esk5_5(X12,X13,X14,X15,X16),esk6_5(X12,X13,X14,X15,X16))
| ~ ip(X16)
| ~ ip(X14)
| ~ ip(X12)
| iext(uri_owl_propertyChainAxiom,X12,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,uri_rdf_nil) )
& ( ~ iext(X12,esk4_5(X12,X13,X14,X15,X16),esk6_5(X12,X13,X14,X15,X16))
| ~ ip(X16)
| ~ ip(X14)
| ~ ip(X12)
| iext(uri_owl_propertyChainAxiom,X12,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,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_owl_sameAs,esk1_0)
& iext(uri_rdf_first,esk1_0,uri_ex_p)
& iext(uri_rdf_rest,esk1_0,esk2_0)
& iext(uri_rdf_first,esk2_0,esk3_0)
& iext(uri_rdf_rest,esk2_0,uri_rdf_nil)
& iext(uri_owl_inverseOf,esk3_0,uri_ex_p) ),
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,esk4_5(X5,X3,X4,X1,X2),esk6_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,esk4_5(X5,X3,X4,X1,X2),esk5_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,esk5_5(X5,X3,X4,X1,X2),esk6_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_owl_sameAs,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14_015,plain,
iext(uri_rdf_first,esk1_0,uri_ex_p),
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,esk3_0),
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_019,plain,
iext(uri_owl_inverseOf,esk3_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19_020,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,esk4_5(X5,X3,X4,X1,X2),esk6_5(X5,X3,X4,X1,X2)) ),
c_0_6,
[final] ).
cnf(c_0_20_021,plain,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| iext(X4,esk4_5(X5,X3,X4,X1,X2),esk5_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_21_022,plain,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| iext(X2,esk5_5(X5,X3,X4,X1,X2),esk6_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_22_023,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_23_024,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_24_025,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_25_026,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_26_027,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk1_0),
c_0_13,
[final] ).
cnf(c_0_27_028,plain,
iext(uri_rdf_first,esk1_0,uri_ex_p),
c_0_14,
[final] ).
cnf(c_0_28_029,plain,
iext(uri_rdf_rest,esk1_0,esk2_0),
c_0_15,
[final] ).
cnf(c_0_29_030,plain,
iext(uri_rdf_first,esk2_0,esk3_0),
c_0_16,
[final] ).
cnf(c_0_30_031,plain,
iext(uri_rdf_rest,esk2_0,uri_rdf_nil),
c_0_17,
[final] ).
cnf(c_0_31_032,plain,
iext(uri_owl_inverseOf,esk3_0,uri_ex_p),
c_0_18,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_19_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk6_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk6_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk6_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk6_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk6_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk6_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk6_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk6_5(X5,X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_8,axiom,
( ~ iext(X5,sk2_esk4_5(X5,X3,X4,X1,X2),sk2_esk6_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_19]) ).
cnf(c_0_20_0,axiom,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| iext(X4,sk2_esk4_5(X5,X3,X4,X1,X2),sk2_esk5_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_20]) ).
cnf(c_0_20_1,axiom,
( iext(X4,sk2_esk4_5(X5,X3,X4,X1,X2),sk2_esk5_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_20]) ).
cnf(c_0_20_2,axiom,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X4,sk2_esk4_5(X5,X3,X4,X1,X2),sk2_esk5_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_20]) ).
cnf(c_0_20_3,axiom,
( ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X4,sk2_esk4_5(X5,X3,X4,X1,X2),sk2_esk5_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_20]) ).
cnf(c_0_20_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk5_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_20]) ).
cnf(c_0_20_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk5_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_20]) ).
cnf(c_0_20_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk5_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_20]) ).
cnf(c_0_20_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk5_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_20]) ).
cnf(c_0_20_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_esk4_5(X5,X3,X4,X1,X2),sk2_esk5_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_20]) ).
cnf(c_0_21_0,axiom,
( iext(uri_owl_propertyChainAxiom,X5,X3)
| iext(X2,sk2_esk5_5(X5,X3,X4,X1,X2),sk2_esk6_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_21]) ).
cnf(c_0_21_1,axiom,
( iext(X2,sk2_esk5_5(X5,X3,X4,X1,X2),sk2_esk6_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_21]) ).
cnf(c_0_21_2,axiom,
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X2,sk2_esk5_5(X5,X3,X4,X1,X2),sk2_esk6_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_21]) ).
cnf(c_0_21_3,axiom,
( ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X2,sk2_esk5_5(X5,X3,X4,X1,X2),sk2_esk6_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_21]) ).
cnf(c_0_21_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_esk5_5(X5,X3,X4,X1,X2),sk2_esk6_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_21]) ).
cnf(c_0_21_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_esk5_5(X5,X3,X4,X1,X2),sk2_esk6_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_21]) ).
cnf(c_0_21_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_esk5_5(X5,X3,X4,X1,X2),sk2_esk6_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X4)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_21]) ).
cnf(c_0_21_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_esk5_5(X5,X3,X4,X1,X2),sk2_esk6_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ ip(X2) ),
inference(literals_permutation,[status(thm)],[c_0_21]) ).
cnf(c_0_21_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_esk5_5(X5,X3,X4,X1,X2),sk2_esk6_5(X5,X3,X4,X1,X2))
| iext(uri_owl_propertyChainAxiom,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_21]) ).
cnf(c_0_22_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_22]) ).
cnf(c_0_22_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_22]) ).
cnf(c_0_22_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_22]) ).
cnf(c_0_22_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_22]) ).
cnf(c_0_22_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_22]) ).
cnf(c_0_22_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_22]) ).
cnf(c_0_22_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_22]) ).
cnf(c_0_22_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_22]) ).
cnf(c_0_23_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_23]) ).
cnf(c_0_23_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_23]) ).
cnf(c_0_23_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_23]) ).
cnf(c_0_23_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_23]) ).
cnf(c_0_23_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_23]) ).
cnf(c_0_23_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_23]) ).
cnf(c_0_24_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_24]) ).
cnf(c_0_24_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_24]) ).
cnf(c_0_24_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_24]) ).
cnf(c_0_24_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_24]) ).
cnf(c_0_24_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_24]) ).
cnf(c_0_24_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_24]) ).
cnf(c_0_25_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_25]) ).
cnf(c_0_25_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_25]) ).
cnf(c_0_25_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_25]) ).
cnf(c_0_25_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_25]) ).
cnf(c_0_25_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_25]) ).
cnf(c_0_25_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_25]) ).
cnf(c_0_26_0,axiom,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_27_0,axiom,
iext(uri_rdf_first,sk2_esk1_0,uri_ex_p),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_28_0,axiom,
iext(uri_rdf_rest,sk2_esk1_0,sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_29_0,axiom,
iext(uri_rdf_first,sk2_esk2_0,sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_30_0,axiom,
iext(uri_rdf_rest,sk2_esk2_0,uri_rdf_nil),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_31_0,axiom,
iext(uri_owl_inverseOf,sk2_esk3_0,uri_ex_p),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_033,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('<stdin>',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).
fof(c_0_1_034,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_035,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
c_0_1 ).
cnf(c_0_3_036,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_037,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_60,plain,
( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_52_0) ).
cnf(c_158,plain,
( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ),
inference(copy,[status(esa)],[c_60]) ).
cnf(c_112449,plain,
( ~ iext(uri_owl_sameAs,sk1_esk2_1(uri_ex_p),sk1_esk1_1(uri_ex_p))
| sk1_esk2_1(uri_ex_p) = sk1_esk1_1(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_158]) ).
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_22b80c.p',c_0_22_0) ).
cnf(c_125,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_47598,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_125]) ).
cnf(c_47708,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_47598]) ).
cnf(c_47800,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,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_owl_sameAs,X2,X3)
| ~ iext(X0,X2,X4)
| ~ iext(X1,X4,X3) ),
inference(instantiation,[status(thm)],[c_47708]) ).
cnf(c_47920,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,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_p)
| ~ iext(uri_rdf_first,sk2_esk2_0,X0)
| iext(uri_owl_sameAs,X1,X2)
| ~ iext(uri_ex_p,X1,X3)
| ~ iext(X0,X3,X2) ),
inference(instantiation,[status(thm)],[c_47800]) ).
cnf(c_48164,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,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_p)
| ~ iext(uri_rdf_first,sk2_esk2_0,sk2_esk3_0)
| iext(uri_owl_sameAs,X0,X1)
| ~ iext(uri_ex_p,X0,X2)
| ~ iext(sk2_esk3_0,X2,X1) ),
inference(instantiation,[status(thm)],[c_47920]) ).
cnf(c_112042,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,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_p)
| ~ iext(uri_rdf_first,sk2_esk2_0,sk2_esk3_0)
| iext(uri_owl_sameAs,sk1_esk2_1(uri_ex_p),X0)
| ~ iext(uri_ex_p,sk1_esk2_1(uri_ex_p),sk1_esk3_1(uri_ex_p))
| ~ iext(sk2_esk3_0,sk1_esk3_1(uri_ex_p),X0) ),
inference(instantiation,[status(thm)],[c_48164]) ).
cnf(c_112304,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,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_p)
| ~ iext(uri_rdf_first,sk2_esk2_0,sk2_esk3_0)
| iext(uri_owl_sameAs,sk1_esk2_1(uri_ex_p),sk1_esk1_1(uri_ex_p))
| ~ iext(uri_ex_p,sk1_esk2_1(uri_ex_p),sk1_esk3_1(uri_ex_p))
| ~ iext(sk2_esk3_0,sk1_esk3_1(uri_ex_p),sk1_esk1_1(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_112042]) ).
cnf(c_69,plain,
( ~ iext(X0,X1,X2)
| iext(X3,X2,X1)
| ~ iext(uri_owl_inverseOf,X3,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_43_0) ).
cnf(c_167,plain,
( ~ iext(X0,X1,X2)
| iext(X3,X2,X1)
| ~ iext(uri_owl_inverseOf,X3,X0) ),
inference(copy,[status(esa)],[c_69]) ).
cnf(c_47575,plain,
( ~ iext(uri_ex_p,X0,X1)
| iext(sk2_esk3_0,X1,X0)
| ~ iext(uri_owl_inverseOf,sk2_esk3_0,uri_ex_p) ),
inference(instantiation,[status(thm)],[c_167]) ).
cnf(c_47783,plain,
( ~ iext(uri_ex_p,sk1_esk1_1(uri_ex_p),sk1_esk3_1(uri_ex_p))
| iext(sk2_esk3_0,sk1_esk3_1(uri_ex_p),sk1_esk1_1(uri_ex_p))
| ~ iext(uri_owl_inverseOf,sk2_esk3_0,uri_ex_p) ),
inference(instantiation,[status(thm)],[c_47575]) ).
cnf(c_66,plain,
( ~ icext(X0,X1)
| iext(uri_rdf_type,X1,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_46_0) ).
cnf(c_164,plain,
( ~ icext(X0,X1)
| iext(uri_rdf_type,X1,X0) ),
inference(copy,[status(esa)],[c_66]) ).
cnf(c_47692,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)
| ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(instantiation,[status(thm)],[c_164]) ).
cnf(c_68,plain,
( ~ ip(X0)
| iext(X0,sk1_esk1_1(X0),sk1_esk3_1(X0))
| icext(uri_owl_InverseFunctionalProperty,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_44_0) ).
cnf(c_166,plain,
( ~ ip(X0)
| iext(X0,sk1_esk1_1(X0),sk1_esk3_1(X0))
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(copy,[status(esa)],[c_68]) ).
cnf(c_47627,plain,
( iext(uri_ex_p,sk1_esk1_1(uri_ex_p),sk1_esk3_1(uri_ex_p))
| ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(instantiation,[status(thm)],[c_166]) ).
cnf(c_67,plain,
( ~ ip(X0)
| iext(X0,sk1_esk2_1(X0),sk1_esk3_1(X0))
| icext(uri_owl_InverseFunctionalProperty,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_45_0) ).
cnf(c_165,plain,
( ~ ip(X0)
| iext(X0,sk1_esk2_1(X0),sk1_esk3_1(X0))
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(copy,[status(esa)],[c_67]) ).
cnf(c_47628,plain,
( iext(uri_ex_p,sk1_esk2_1(uri_ex_p),sk1_esk3_1(uri_ex_p))
| ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(instantiation,[status(thm)],[c_165]) ).
cnf(c_64,plain,
( sk1_esk2_1(X0) != sk1_esk1_1(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_48_0) ).
cnf(c_162,plain,
( sk1_esk2_1(X0) != sk1_esk1_1(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(copy,[status(esa)],[c_64]) ).
cnf(c_47629,plain,
( ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| sk1_esk2_1(uri_ex_p) != sk1_esk1_1(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_162]) ).
cnf(c_62,plain,
( ip(X0)
| ~ iext(uri_owl_inverseOf,X1,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_50_0) ).
cnf(c_160,plain,
( ip(X0)
| ~ iext(uri_owl_inverseOf,X1,X0) ),
inference(copy,[status(esa)],[c_62]) ).
cnf(c_47573,plain,
( ~ iext(uri_owl_inverseOf,sk2_esk3_0,uri_ex_p)
| ip(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_53,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sk2_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_26_0) ).
cnf(c_54,plain,
iext(uri_rdf_first,sk2_esk1_0,uri_ex_p),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_27_0) ).
cnf(c_55,plain,
iext(uri_rdf_rest,sk2_esk1_0,sk2_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_28_0) ).
cnf(c_56,plain,
iext(uri_rdf_first,sk2_esk2_0,sk2_esk3_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_29_0) ).
cnf(c_57,plain,
iext(uri_rdf_rest,sk2_esk2_0,uri_rdf_nil),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_30_0) ).
cnf(c_58,plain,
iext(uri_owl_inverseOf,sk2_esk3_0,uri_ex_p),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_31_0) ).
cnf(c_74,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/tmp/iprover_modulo_22b80c.p',c_0_4) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_112449,c_112304,c_47783,c_47692,c_47627,c_47628,c_47629,c_47573,c_53,c_54,c_55,c_56,c_57,c_58,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB027+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 13:50:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.21/0.44 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.44 % FOF problem with conjecture
% 0.21/0.44 % 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_cb2ad7.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_22b80c.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_453c5a | grep -v "SZS"
% 0.21/0.46
% 0.21/0.46 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.46
% 0.21/0.46 %
% 0.21/0.46 % ------ iProver source info
% 0.21/0.46
% 0.21/0.46 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.46 % git: non_committed_changes: true
% 0.21/0.46 % git: last_make_outside_of_git: true
% 0.21/0.46
% 0.21/0.46 %
% 0.21/0.46 % ------ Input Options
% 0.21/0.46
% 0.21/0.46 % --out_options all
% 0.21/0.46 % --tptp_safe_out true
% 0.21/0.46 % --problem_path ""
% 0.21/0.46 % --include_path ""
% 0.21/0.46 % --clausifier .//eprover
% 0.21/0.46 % --clausifier_options --tstp-format
% 0.21/0.46 % --stdin false
% 0.21/0.46 % --dbg_backtrace false
% 0.21/0.46 % --dbg_dump_prop_clauses false
% 0.21/0.46 % --dbg_dump_prop_clauses_file -
% 0.21/0.46 % --dbg_out_stat false
% 0.21/0.46
% 0.21/0.46 % ------ General Options
% 0.21/0.46
% 0.21/0.46 % --fof false
% 0.21/0.46 % --time_out_real 150.
% 0.21/0.46 % --time_out_prep_mult 0.2
% 0.21/0.46 % --time_out_virtual -1.
% 0.21/0.46 % --schedule none
% 0.21/0.46 % --ground_splitting input
% 0.21/0.46 % --splitting_nvd 16
% 0.21/0.46 % --non_eq_to_eq false
% 0.21/0.46 % --prep_gs_sim true
% 0.21/0.46 % --prep_unflatten false
% 0.21/0.46 % --prep_res_sim true
% 0.21/0.46 % --prep_upred true
% 0.21/0.46 % --res_sim_input true
% 0.21/0.46 % --clause_weak_htbl true
% 0.21/0.46 % --gc_record_bc_elim false
% 0.21/0.46 % --symbol_type_check false
% 0.21/0.46 % --clausify_out false
% 0.21/0.46 % --large_theory_mode false
% 0.21/0.46 % --prep_sem_filter none
% 0.21/0.46 % --prep_sem_filter_out false
% 0.21/0.46 % --preprocessed_out false
% 0.21/0.46 % --sub_typing false
% 0.21/0.46 % --brand_transform false
% 0.21/0.46 % --pure_diseq_elim true
% 0.21/0.46 % --min_unsat_core false
% 0.21/0.46 % --pred_elim true
% 0.21/0.46 % --add_important_lit false
% 0.21/0.46 % --soft_assumptions false
% 0.21/0.46 % --reset_solvers false
% 0.21/0.46 % --bc_imp_inh []
% 0.21/0.46 % --conj_cone_tolerance 1.5
% 0.21/0.46 % --prolific_symb_bound 500
% 0.21/0.46 % --lt_threshold 2000
% 0.21/0.46
% 0.21/0.46 % ------ SAT Options
% 0.21/0.46
% 0.21/0.46 % --sat_mode false
% 0.21/0.46 % --sat_fm_restart_options ""
% 0.21/0.46 % --sat_gr_def false
% 0.21/0.46 % --sat_epr_types true
% 0.21/0.46 % --sat_non_cyclic_types false
% 0.21/0.46 % --sat_finite_models false
% 0.21/0.46 % --sat_fm_lemmas false
% 0.21/0.46 % --sat_fm_prep false
% 0.21/0.46 % --sat_fm_uc_incr true
% 0.21/0.46 % --sat_out_model small
% 0.21/0.46 % --sat_out_clauses false
% 0.21/0.46
% 0.21/0.46 % ------ QBF Options
% 0.21/0.46
% 0.21/0.46 % --qbf_mode false
% 0.21/0.46 % --qbf_elim_univ true
% 0.21/0.46 % --qbf_sk_in true
% 0.21/0.46 % --qbf_pred_elim true
% 0.21/0.46 % --qbf_split 32
% 0.21/0.46
% 0.21/0.46 % ------ BMC1 Options
% 0.21/0.46
% 0.21/0.46 % --bmc1_incremental false
% 0.21/0.46 % --bmc1_axioms reachable_all
% 0.21/0.46 % --bmc1_min_bound 0
% 0.21/0.46 % --bmc1_max_bound -1
% 0.21/0.46 % --bmc1_max_bound_default -1
% 0.21/0.46 % --bmc1_symbol_reachability true
% 0.21/0.46 % --bmc1_property_lemmas false
% 0.21/0.46 % --bmc1_k_induction false
% 0.21/0.46 % --bmc1_non_equiv_states false
% 0.21/0.46 % --bmc1_deadlock false
% 0.21/0.46 % --bmc1_ucm false
% 0.21/0.46 % --bmc1_add_unsat_core none
% 0.21/0.46 % --bmc1_unsat_core_children false
% 0.21/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.46 % --bmc1_out_stat full
% 0.21/0.46 % --bmc1_ground_init false
% 0.21/0.46 % --bmc1_pre_inst_next_state false
% 0.21/0.46 % --bmc1_pre_inst_state false
% 0.21/0.46 % --bmc1_pre_inst_reach_state false
% 0.21/0.46 % --bmc1_out_unsat_core false
% 0.21/0.46 % --bmc1_aig_witness_out false
% 0.21/0.46 % --bmc1_verbose false
% 0.21/0.46 % --bmc1_dump_clauses_tptp false
% 0.21/0.47 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.47 % --bmc1_dump_file -
% 0.21/0.47 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.47 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.47 % --bmc1_ucm_extend_mode 1
% 0.21/0.47 % --bmc1_ucm_init_mode 2
% 0.21/0.47 % --bmc1_ucm_cone_mode none
% 0.21/0.47 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.47 % --bmc1_ucm_relax_model 4
% 0.21/0.47 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.47 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.47 % --bmc1_ucm_layered_model none
% 0.21/0.47 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.47
% 0.21/0.47 % ------ AIG Options
% 0.21/0.47
% 0.21/0.47 % --aig_mode false
% 0.21/0.47
% 0.21/0.47 % ------ Instantiation Options
% 0.21/0.47
% 0.21/0.47 % --instantiation_flag true
% 0.21/0.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.47 % --inst_solver_per_active 750
% 0.21/0.47 % --inst_solver_calls_frac 0.5
% 0.21/0.47 % --inst_passive_queue_type priority_queues
% 0.21/0.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.47 % --inst_passive_queues_freq [25;2]
% 0.21/0.47 % --inst_dismatching true
% 0.21/0.47 % --inst_eager_unprocessed_to_passive true
% 0.21/0.47 % --inst_prop_sim_given true
% 0.21/0.47 % --inst_prop_sim_new false
% 0.21/0.47 % --inst_orphan_elimination true
% 0.21/0.47 % --inst_learning_loop_flag true
% 0.21/0.47 % --inst_learning_start 3000
% 0.21/0.47 % --inst_learning_factor 2
% 0.21/0.47 % --inst_start_prop_sim_after_learn 3
% 0.21/0.47 % --inst_sel_renew solver
% 0.21/0.47 % --inst_lit_activity_flag true
% 0.21/0.47 % --inst_out_proof true
% 0.21/0.47
% 0.21/0.47 % ------ Resolution Options
% 0.21/0.47
% 0.21/0.47 % --resolution_flag true
% 0.21/0.47 % --res_lit_sel kbo_max
% 0.21/0.47 % --res_to_prop_solver none
% 0.21/0.47 % --res_prop_simpl_new false
% 0.21/0.47 % --res_prop_simpl_given false
% 0.21/0.47 % --res_passive_queue_type priority_queues
% 0.21/0.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.47 % --res_passive_queues_freq [15;5]
% 0.21/0.47 % --res_forward_subs full
% 0.21/0.47 % --res_backward_subs full
% 0.21/0.47 % --res_forward_subs_resolution true
% 0.21/0.47 % --res_backward_subs_resolution true
% 0.21/0.47 % --res_orphan_elimination false
% 0.21/0.47 % --res_time_limit 1000.
% 0.21/0.47 % --res_out_proof true
% 0.21/0.47 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_cb2ad7.s
% 0.21/0.47 % --modulo true
% 0.21/0.47
% 0.21/0.47 % ------ Combination Options
% 0.21/0.47
% 0.21/0.47 % --comb_res_mult 1000
% 0.21/0.47 % --comb_inst_mult 300
% 0.21/0.47 % ------
% 0.21/0.47
% 0.21/0.47 % ------ Parsing...% successful
% 0.21/0.47
% 0.21/0.47 % ------ 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 %
% 0.21/0.47
% 0.21/0.47 % ------ Proving...
% 0.21/0.47 % ------ Problem Properties
% 0.21/0.47
% 0.21/0.47 %
% 0.21/0.47 % EPR false
% 0.21/0.47 % Horn false
% 0.21/0.47 % Has equality true
% 0.21/0.47
% 0.21/0.47 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 % % ------ Current options:
% 0.21/0.47
% 0.21/0.47 % ------ Input Options
% 0.21/0.47
% 0.21/0.47 % --out_options all
% 0.21/0.47 % --tptp_safe_out true
% 0.21/0.47 % --problem_path ""
% 0.21/0.47 % --include_path ""
% 0.21/0.47 % --clausifier .//eprover
% 0.21/0.47 % --clausifier_options --tstp-format
% 0.21/0.47 % --stdin false
% 0.21/0.47 % --dbg_backtrace false
% 0.21/0.47 % --dbg_dump_prop_clauses false
% 0.21/0.47 % --dbg_dump_prop_clauses_file -
% 0.21/0.47 % --dbg_out_stat false
% 0.21/0.47
% 0.21/0.47 % ------ General Options
% 0.21/0.47
% 0.21/0.47 % --fof false
% 0.21/0.47 % --time_out_real 150.
% 0.21/0.47 % --time_out_prep_mult 0.2
% 0.21/0.47 % --time_out_virtual -1.
% 0.21/0.47 % --schedule none
% 0.21/0.47 % --ground_splitting input
% 0.21/0.47 % --splitting_nvd 16
% 0.21/0.47 % --non_eq_to_eq false
% 0.21/0.47 % --prep_gs_sim true
% 0.21/0.47 % --prep_unflatten false
% 0.21/0.47 % --prep_res_sim true
% 0.21/0.47 % --prep_upred true
% 0.21/0.47 % --res_sim_input true
% 0.21/0.47 % --clause_weak_htbl true
% 0.21/0.47 % --gc_record_bc_elim false
% 0.21/0.47 % --symbol_type_check false
% 0.21/0.47 % --clausify_out false
% 0.21/0.47 % --large_theory_mode false
% 0.21/0.47 % --prep_sem_filter none
% 0.21/0.47 % --prep_sem_filter_out false
% 0.21/0.47 % --preprocessed_out false
% 0.21/0.47 % --sub_typing false
% 0.21/0.47 % --brand_transform false
% 0.21/0.47 % --pure_diseq_elim true
% 0.21/0.47 % --min_unsat_core false
% 0.21/0.47 % --pred_elim true
% 0.21/0.47 % --add_important_lit false
% 0.21/0.47 % --soft_assumptions false
% 0.21/0.47 % --reset_solvers false
% 0.21/0.47 % --bc_imp_inh []
% 0.21/0.47 % --conj_cone_tolerance 1.5
% 0.21/0.47 % --prolific_symb_bound 500
% 0.21/0.47 % --lt_threshold 2000
% 0.21/0.47
% 0.21/0.47 % ------ SAT Options
% 0.21/0.47
% 0.21/0.47 % --sat_mode false
% 0.21/0.47 % --sat_fm_restart_options ""
% 0.21/0.47 % --sat_gr_def false
% 0.21/0.47 % --sat_epr_types true
% 0.21/0.47 % --sat_non_cyclic_types false
% 0.21/0.47 % --sat_finite_models false
% 0.21/0.47 % --sat_fm_lemmas false
% 0.21/0.47 % --sat_fm_prep false
% 0.21/0.47 % --sat_fm_uc_incr true
% 0.21/0.47 % --sat_out_model small
% 0.21/0.47 % --sat_out_clauses false
% 0.21/0.47
% 0.21/0.47 % ------ QBF Options
% 0.21/0.47
% 0.21/0.47 % --qbf_mode false
% 0.21/0.47 % --qbf_elim_univ true
% 0.21/0.47 % --qbf_sk_in true
% 0.21/0.47 % --qbf_pred_elim true
% 0.21/0.47 % --qbf_split 32
% 0.21/0.47
% 0.21/0.47 % ------ BMC1 Options
% 0.21/0.47
% 0.21/0.47 % --bmc1_incremental false
% 0.21/0.47 % --bmc1_axioms reachable_all
% 0.21/0.47 % --bmc1_min_bound 0
% 0.21/0.47 % --bmc1_max_bound -1
% 0.21/0.47 % --bmc1_max_bound_default -1
% 0.21/0.47 % --bmc1_symbol_reachability true
% 0.21/0.47 % --bmc1_property_lemmas false
% 0.21/0.47 % --bmc1_k_induction false
% 0.21/0.47 % --bmc1_non_equiv_states false
% 0.21/0.47 % --bmc1_deadlock false
% 0.21/0.47 % --bmc1_ucm false
% 0.21/0.47 % --bmc1_add_unsat_core none
% 0.21/0.47 % --bmc1_unsat_core_children false
% 0.21/0.47 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.47 % --bmc1_out_stat full
% 0.21/0.47 % --bmc1_ground_init false
% 0.21/0.47 % --bmc1_pre_inst_next_state false
% 0.21/0.47 % --bmc1_pre_inst_state false
% 0.21/0.47 % --bmc1_pre_inst_reach_state false
% 0.21/0.47 % --bmc1_out_unsat_core false
% 0.21/0.47 % --bmc1_aig_witness_out false
% 0.21/0.47 % --bmc1_verbose false
% 0.21/0.47 % --bmc1_dump_clauses_tptp false
% 0.21/0.47 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.47 % --bmc1_dump_file -
% 0.21/0.47 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.47 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.47 % --bmc1_ucm_extend_mode 1
% 0.21/0.47 % --bmc1_ucm_init_mode 2
% 0.21/0.47 % --bmc1_ucm_cone_mode none
% 0.21/0.47 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.47 % --bmc1_ucm_relax_model 4
% 0.21/0.47 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.47 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.47 % --bmc1_ucm_layered_model none
% 0.21/0.47 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.47
% 0.21/0.47 % ------ AIG Options
% 0.21/0.47
% 0.21/0.47 % --aig_mode false
% 0.21/0.47
% 0.21/0.47 % ------ Instantiation Options
% 0.21/0.47
% 0.21/0.47 % --instantiation_flag true
% 0.21/0.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.47 % --inst_solver_per_active 750
% 0.21/0.47 % --inst_solver_calls_frac 0.5
% 0.21/0.47 % --inst_passive_queue_type priority_queues
% 0.21/0.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.47 % --inst_passive_queues_freq [25;2]
% 0.21/0.47 % --inst_dismatching true
% 0.21/0.47 % --inst_eager_unprocessed_to_passive true
% 0.21/0.47 % --inst_prop_sim_given true
% 7.08/7.26 % --inst_prop_sim_new false
% 7.08/7.26 % --inst_orphan_elimination true
% 7.08/7.26 % --inst_learning_loop_flag true
% 7.08/7.26 % --inst_learning_start 3000
% 7.08/7.26 % --inst_learning_factor 2
% 7.08/7.26 % --inst_start_prop_sim_after_learn 3
% 7.08/7.26 % --inst_sel_renew solver
% 7.08/7.26 % --inst_lit_activity_flag true
% 7.08/7.26 % --inst_out_proof true
% 7.08/7.26
% 7.08/7.26 % ------ Resolution Options
% 7.08/7.26
% 7.08/7.26 % --resolution_flag true
% 7.08/7.26 % --res_lit_sel kbo_max
% 7.08/7.26 % --res_to_prop_solver none
% 7.08/7.26 % --res_prop_simpl_new false
% 7.08/7.26 % --res_prop_simpl_given false
% 7.08/7.26 % --res_passive_queue_type priority_queues
% 7.08/7.26 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.08/7.26 % --res_passive_queues_freq [15;5]
% 7.08/7.26 % --res_forward_subs full
% 7.08/7.26 % --res_backward_subs full
% 7.08/7.26 % --res_forward_subs_resolution true
% 7.08/7.26 % --res_backward_subs_resolution true
% 7.08/7.26 % --res_orphan_elimination false
% 7.08/7.26 % --res_time_limit 1000.
% 7.08/7.26 % --res_out_proof true
% 7.08/7.26 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_cb2ad7.s
% 7.08/7.26 % --modulo true
% 7.08/7.26
% 7.08/7.26 % ------ Combination Options
% 7.08/7.26
% 7.08/7.26 % --comb_res_mult 1000
% 7.08/7.26 % --comb_inst_mult 300
% 7.08/7.26 % ------
% 7.08/7.26
% 7.08/7.26
% 7.08/7.26
% 7.08/7.26 % ------ Proving...
% 7.08/7.26 %
% 7.08/7.26
% 7.08/7.26
% 7.08/7.26 % ------ Statistics
% 7.08/7.26
% 7.08/7.26 % ------ General
% 7.08/7.26
% 7.08/7.26 % num_of_input_clauses: 75
% 7.08/7.26 % num_of_input_neg_conjectures: 1
% 7.08/7.26 % num_of_splits: 0
% 7.08/7.26 % num_of_split_atoms: 0
% 7.08/7.26 % num_of_sem_filtered_clauses: 0
% 7.08/7.26 % num_of_subtypes: 0
% 7.08/7.26 % monotx_restored_types: 0
% 7.08/7.26 % sat_num_of_epr_types: 0
% 7.08/7.26 % sat_num_of_non_cyclic_types: 0
% 7.08/7.26 % sat_guarded_non_collapsed_types: 0
% 7.08/7.26 % is_epr: 0
% 7.08/7.26 % is_horn: 0
% 7.08/7.26 % has_eq: 1
% 7.08/7.26 % num_pure_diseq_elim: 0
% 7.08/7.26 % simp_replaced_by: 0
% 7.08/7.26 % res_preprocessed: 2
% 7.08/7.26 % prep_upred: 0
% 7.08/7.26 % prep_unflattend: 0
% 7.08/7.26 % pred_elim_cands: 0
% 7.08/7.26 % pred_elim: 0
% 7.08/7.26 % pred_elim_cl: 0
% 7.08/7.26 % pred_elim_cycles: 0
% 7.08/7.26 % forced_gc_time: 0
% 7.08/7.26 % gc_basic_clause_elim: 0
% 7.08/7.26 % parsing_time: 0.007
% 7.08/7.26 % sem_filter_time: 0.
% 7.08/7.26 % pred_elim_time: 0.
% 7.08/7.26 % out_proof_time: 0.
% 7.08/7.26 % monotx_time: 0.
% 7.08/7.26 % subtype_inf_time: 0.
% 7.08/7.26 % unif_index_cands_time: 0.003
% 7.08/7.26 % unif_index_add_time: 0.003
% 7.08/7.26 % total_time: 6.814
% 7.08/7.26 % num_of_symbols: 48
% 7.08/7.26 % num_of_terms: 24809
% 7.08/7.26
% 7.08/7.26 % ------ Propositional Solver
% 7.08/7.26
% 7.08/7.26 % prop_solver_calls: 14
% 7.08/7.26 % prop_fast_solver_calls: 3
% 7.08/7.26 % prop_num_of_clauses: 830
% 7.08/7.26 % prop_preprocess_simplified: 1353
% 7.08/7.26 % prop_fo_subsumed: 0
% 7.08/7.26 % prop_solver_time: 0.
% 7.08/7.26 % prop_fast_solver_time: 0.
% 7.08/7.26 % prop_unsat_core_time: 0.
% 7.08/7.26
% 7.08/7.26 % ------ QBF
% 7.08/7.26
% 7.08/7.26 % qbf_q_res: 0
% 7.08/7.26 % qbf_num_tautologies: 0
% 7.08/7.26 % qbf_prep_cycles: 0
% 7.08/7.26
% 7.08/7.26 % ------ BMC1
% 7.08/7.26
% 7.08/7.26 % bmc1_current_bound: -1
% 7.08/7.26 % bmc1_last_solved_bound: -1
% 7.08/7.26 % bmc1_unsat_core_size: -1
% 7.08/7.26 % bmc1_unsat_core_parents_size: -1
% 7.08/7.26 % bmc1_merge_next_fun: 0
% 7.08/7.26 % bmc1_unsat_core_clauses_time: 0.
% 7.08/7.26
% 7.08/7.26 % ------ Instantiation
% 7.08/7.26
% 7.08/7.26 % inst_num_of_clauses: 590
% 7.08/7.26 % inst_num_in_passive: 61
% 7.08/7.26 % inst_num_in_active: 518
% 7.08/7.26 % inst_num_in_unprocessed: 8
% 7.08/7.26 % inst_num_of_loops: 584
% 7.08/7.26 % inst_num_of_learning_restarts: 0
% 7.08/7.26 % inst_num_moves_active_passive: 57
% 7.08/7.26 % inst_lit_activity: 246
% 7.08/7.26 % inst_lit_activity_moves: 0
% 7.08/7.26 % inst_num_tautologies: 0
% 7.08/7.26 % inst_num_prop_implied: 0
% 7.08/7.26 % inst_num_existing_simplified: 0
% 7.08/7.26 % inst_num_eq_res_simplified: 1
% 7.08/7.26 % inst_num_child_elim: 0
% 7.08/7.26 % inst_num_of_dismatching_blockings: 0
% 7.08/7.26 % inst_num_of_non_proper_insts: 752
% 7.08/7.26 % inst_num_of_duplicates: 245
% 7.08/7.26 % inst_inst_num_from_inst_to_res: 0
% 7.08/7.26 % inst_dismatching_checking_time: 0.
% 7.08/7.26
% 7.08/7.26 % ------ Resolution
% 7.08/7.26
% 7.08/7.26 % res_num_of_clauses: 10597
% 7.08/7.26 % res_num_in_passive: 8739
% 7.08/7.26 % res_num_in_active: 1791
% 7.08/7.26 % res_num_of_loops: 2000
% 7.08/7.26 % res_forward_subset_subsumed: 31
% 7.08/7.26 % res_backward_subset_subsumed: 0
% 7.08/7.26 % res_forward_subsumed: 252
% 7.08/7.26 % res_backward_subsumed: 0
% 7.08/7.26 % res_forward_subsumption_resolution: 409
% 7.08/7.26 % res_backward_subsumption_resolution: 0
% 7.08/7.26 % res_clause_to_clause_subsumption: 156512
% 7.08/7.26 % res_orphan_elimination: 0
% 7.08/7.26 % res_tautology_del: 6
% 7.08/7.26 % res_num_eq_res_simplified: 0
% 7.08/7.26 % res_num_sel_changes: 0
% 7.08/7.26 % res_moves_from_active_to_pass: 0
% 7.08/7.26
% 7.08/7.26 % Status Unsatisfiable
% 7.08/7.26 % SZS status Theorem
% 7.08/7.26 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------