TSTP Solution File: SWB021+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWB021+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 19:02:02 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 111 ( 39 unt; 0 def)
% Number of atoms : 674 ( 70 equ)
% Maximal formula atoms : 88 ( 6 avg)
% Number of connectives : 968 ( 405 ~; 459 |; 91 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 23 con; 0-7 aty)
% Number of variables : 266 ( 45 sgn 60 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_bool_unionof_class_002,axiom,
! [X3,X4,X5,X6,X7] :
( ( iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_unionOf,X3,X4)
<=> ( ic(X3)
& ic(X5)
& ic(X7)
& ! [X1] :
( icext(X3,X1)
<=> ( icext(X5,X1)
| icext(X7,X1) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',owl_bool_unionof_class_002) ).
fof(testcase_premise_fullish_021_Composite_Enumerations,axiom,
? [X12,X13,X14,X15,X16,X17,X18,X19,X20] :
( iext(uri_owl_oneOf,uri_ex_c1,X12)
& iext(uri_rdf_first,X12,uri_ex_w1)
& iext(uri_rdf_rest,X12,X13)
& iext(uri_rdf_first,X13,uri_ex_w2)
& iext(uri_rdf_rest,X13,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c2,X14)
& iext(uri_rdf_first,X14,uri_ex_w2)
& iext(uri_rdf_rest,X14,X15)
& iext(uri_rdf_first,X15,uri_ex_w3)
& iext(uri_rdf_rest,X15,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c3,X16)
& iext(uri_rdf_first,X16,uri_ex_w1)
& iext(uri_rdf_rest,X16,X17)
& iext(uri_rdf_first,X17,uri_ex_w2)
& iext(uri_rdf_rest,X17,X18)
& iext(uri_rdf_first,X18,uri_ex_w3)
& iext(uri_rdf_rest,X18,uri_rdf_nil)
& iext(uri_owl_unionOf,uri_ex_c4,X19)
& iext(uri_rdf_first,X19,uri_ex_c1)
& iext(uri_rdf_rest,X19,X20)
& iext(uri_rdf_first,X20,uri_ex_c2)
& iext(uri_rdf_rest,X20,uri_rdf_nil) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',testcase_premise_fullish_021_Composite_Enumerations) ).
fof(owl_enum_class_002,axiom,
! [X3,X4,X8,X6,X9] :
( ( iext(uri_rdf_first,X4,X8)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X6,X9)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X3,X4)
<=> ( ic(X3)
& ! [X1] :
( icext(X3,X1)
<=> ( X1 = X8
| X1 = X9 ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',owl_enum_class_002) ).
fof(owl_enum_class_003,axiom,
! [X3,X4,X8,X6,X9,X10,X11] :
( ( iext(uri_rdf_first,X4,X8)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X6,X9)
& iext(uri_rdf_rest,X6,X10)
& iext(uri_rdf_first,X10,X11)
& iext(uri_rdf_rest,X10,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X3,X4)
<=> ( ic(X3)
& ! [X1] :
( icext(X3,X1)
<=> ( X1 = X8
| X1 = X9
| X1 = X11 ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',owl_enum_class_003) ).
fof(owl_prop_unionof_ext,axiom,
! [X1,X2] :
( iext(uri_owl_unionOf,X1,X2)
=> ( ic(X1)
& icext(uri_rdf_List,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',owl_prop_unionof_ext) ).
fof(owl_eqdis_equivalentclass,axiom,
! [X5,X7] :
( iext(uri_owl_equivalentClass,X5,X7)
<=> ( ic(X5)
& ic(X7)
& ! [X1] :
( icext(X5,X1)
<=> icext(X7,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(owl_prop_oneof_ext,axiom,
! [X1,X2] :
( iext(uri_owl_oneOf,X1,X2)
=> ( ic(X1)
& icext(uri_rdf_List,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',owl_prop_oneof_ext) ).
fof(testcase_conclusion_fullish_021_Composite_Enumerations,conjecture,
iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',testcase_conclusion_fullish_021_Composite_Enumerations) ).
fof(c_0_8,plain,
! [X8,X9,X10,X11,X12,X13,X13] :
( ( ic(X8)
| ~ iext(uri_owl_unionOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
& ( ic(X10)
| ~ iext(uri_owl_unionOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
& ( ic(X12)
| ~ iext(uri_owl_unionOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
& ( ~ icext(X8,X13)
| icext(X10,X13)
| icext(X12,X13)
| ~ iext(uri_owl_unionOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
& ( ~ icext(X10,X13)
| icext(X8,X13)
| ~ iext(uri_owl_unionOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
& ( ~ icext(X12,X13)
| icext(X8,X13)
| ~ iext(uri_owl_unionOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
& ( ~ icext(X10,esk1_5(X8,X9,X10,X11,X12))
| ~ icext(X8,esk1_5(X8,X9,X10,X11,X12))
| ~ ic(X8)
| ~ ic(X10)
| ~ ic(X12)
| iext(uri_owl_unionOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
& ( ~ icext(X12,esk1_5(X8,X9,X10,X11,X12))
| ~ icext(X8,esk1_5(X8,X9,X10,X11,X12))
| ~ ic(X8)
| ~ ic(X10)
| ~ ic(X12)
| iext(uri_owl_unionOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
& ( icext(X8,esk1_5(X8,X9,X10,X11,X12))
| icext(X10,esk1_5(X8,X9,X10,X11,X12))
| icext(X12,esk1_5(X8,X9,X10,X11,X12))
| ~ ic(X8)
| ~ ic(X10)
| ~ ic(X12)
| iext(uri_owl_unionOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_bool_unionof_class_002])])])])])])]) ).
fof(c_0_9,plain,
( iext(uri_owl_oneOf,uri_ex_c1,esk5_0)
& iext(uri_rdf_first,esk5_0,uri_ex_w1)
& iext(uri_rdf_rest,esk5_0,esk6_0)
& iext(uri_rdf_first,esk6_0,uri_ex_w2)
& iext(uri_rdf_rest,esk6_0,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c2,esk7_0)
& iext(uri_rdf_first,esk7_0,uri_ex_w2)
& iext(uri_rdf_rest,esk7_0,esk8_0)
& iext(uri_rdf_first,esk8_0,uri_ex_w3)
& iext(uri_rdf_rest,esk8_0,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c3,esk9_0)
& iext(uri_rdf_first,esk9_0,uri_ex_w1)
& iext(uri_rdf_rest,esk9_0,esk10_0)
& iext(uri_rdf_first,esk10_0,uri_ex_w2)
& iext(uri_rdf_rest,esk10_0,esk11_0)
& iext(uri_rdf_first,esk11_0,uri_ex_w3)
& iext(uri_rdf_rest,esk11_0,uri_rdf_nil)
& iext(uri_owl_unionOf,uri_ex_c4,esk12_0)
& iext(uri_rdf_first,esk12_0,uri_ex_c1)
& iext(uri_rdf_rest,esk12_0,esk13_0)
& iext(uri_rdf_first,esk13_0,uri_ex_c2)
& iext(uri_rdf_rest,esk13_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_021_Composite_Enumerations])]) ).
fof(c_0_10,plain,
! [X10,X11,X12,X13,X14,X15,X15] :
( ( ic(X10)
| ~ iext(uri_owl_oneOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( ~ icext(X10,X15)
| X15 = X12
| X15 = X14
| ~ iext(uri_owl_oneOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( X15 != X12
| icext(X10,X15)
| ~ iext(uri_owl_oneOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( X15 != X14
| icext(X10,X15)
| ~ iext(uri_owl_oneOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( esk2_5(X10,X11,X12,X13,X14) != X12
| ~ icext(X10,esk2_5(X10,X11,X12,X13,X14))
| ~ ic(X10)
| iext(uri_owl_oneOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( esk2_5(X10,X11,X12,X13,X14) != X14
| ~ icext(X10,esk2_5(X10,X11,X12,X13,X14))
| ~ ic(X10)
| iext(uri_owl_oneOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( icext(X10,esk2_5(X10,X11,X12,X13,X14))
| esk2_5(X10,X11,X12,X13,X14) = X12
| esk2_5(X10,X11,X12,X13,X14) = X14
| ~ ic(X10)
| iext(uri_owl_oneOf,X10,X11)
| ~ iext(uri_rdf_first,X11,X12)
| ~ iext(uri_rdf_rest,X11,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_enum_class_002])])])])])])]) ).
cnf(c_0_11,plain,
( icext(X2,X6)
| icext(X4,X6)
| ~ 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_unionOf,X5,X3)
| ~ icext(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
iext(uri_owl_unionOf,uri_ex_c4,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X12,X13,X14,X15,X16,X17,X18,X19,X19] :
( ( ic(X12)
| ~ iext(uri_owl_oneOf,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,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ~ icext(X12,X19)
| X19 = X14
| X19 = X16
| X19 = X18
| ~ iext(uri_owl_oneOf,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,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( X19 != X14
| icext(X12,X19)
| ~ iext(uri_owl_oneOf,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,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( X19 != X16
| icext(X12,X19)
| ~ iext(uri_owl_oneOf,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,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( X19 != X18
| icext(X12,X19)
| ~ iext(uri_owl_oneOf,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,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( esk3_7(X12,X13,X14,X15,X16,X17,X18) != X14
| ~ icext(X12,esk3_7(X12,X13,X14,X15,X16,X17,X18))
| ~ ic(X12)
| iext(uri_owl_oneOf,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,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( esk3_7(X12,X13,X14,X15,X16,X17,X18) != X16
| ~ icext(X12,esk3_7(X12,X13,X14,X15,X16,X17,X18))
| ~ ic(X12)
| iext(uri_owl_oneOf,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,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( esk3_7(X12,X13,X14,X15,X16,X17,X18) != X18
| ~ icext(X12,esk3_7(X12,X13,X14,X15,X16,X17,X18))
| ~ ic(X12)
| iext(uri_owl_oneOf,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,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( icext(X12,esk3_7(X12,X13,X14,X15,X16,X17,X18))
| esk3_7(X12,X13,X14,X15,X16,X17,X18) = X14
| esk3_7(X12,X13,X14,X15,X16,X17,X18) = X16
| esk3_7(X12,X13,X14,X15,X16,X17,X18) = X18
| ~ ic(X12)
| iext(uri_owl_oneOf,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,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_enum_class_003])])])])])])]) ).
cnf(c_0_14,plain,
( X6 = X2
| X6 = 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_oneOf,X5,X3)
| ~ icext(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
iext(uri_owl_oneOf,uri_ex_c2,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( icext(X1,X2)
| icext(X3,X2)
| ~ icext(uri_ex_c4,X2)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk12_0,X1)
| ~ iext(uri_rdf_rest,esk12_0,X4)
| ~ iext(uri_rdf_first,X4,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
iext(uri_rdf_first,esk13_0,uri_ex_c2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
iext(uri_rdf_rest,esk13_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
iext(uri_rdf_rest,esk12_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_20,plain,
! [X3,X4] :
( ( ic(X3)
| ~ iext(uri_owl_unionOf,X3,X4) )
& ( icext(uri_rdf_List,X4)
| ~ iext(uri_owl_unionOf,X3,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_unionof_ext])])]) ).
cnf(c_0_21,plain,
( X8 = X2
| X8 = X4
| X8 = X6
| ~ 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_rdf_rest,X5,X3)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_owl_oneOf,X7,X5)
| ~ icext(X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
iext(uri_owl_oneOf,uri_ex_c3,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,plain,
iext(uri_owl_oneOf,uri_ex_c1,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,plain,
( X1 = X2
| X3 = X2
| ~ icext(uri_ex_c2,X2)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk7_0,X1)
| ~ iext(uri_rdf_rest,esk7_0,X4)
| ~ iext(uri_rdf_first,X4,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_25,plain,
iext(uri_rdf_first,esk8_0,uri_ex_w3),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,plain,
iext(uri_rdf_rest,esk8_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,plain,
iext(uri_rdf_rest,esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,plain,
( icext(uri_ex_c2,X1)
| icext(X2,X1)
| ~ icext(uri_ex_c4,X1)
| ~ iext(uri_rdf_first,esk12_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_29,plain,
iext(uri_rdf_first,esk12_0,uri_ex_c1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_30,plain,
! [X8,X9,X10,X10,X8,X9] :
( ( ic(X8)
| ~ iext(uri_owl_equivalentClass,X8,X9) )
& ( ic(X9)
| ~ iext(uri_owl_equivalentClass,X8,X9) )
& ( ~ icext(X8,X10)
| icext(X9,X10)
| ~ iext(uri_owl_equivalentClass,X8,X9) )
& ( ~ icext(X9,X10)
| icext(X8,X10)
| ~ iext(uri_owl_equivalentClass,X8,X9) )
& ( ~ icext(X8,esk4_2(X8,X9))
| ~ icext(X9,esk4_2(X8,X9))
| ~ ic(X8)
| ~ ic(X9)
| iext(uri_owl_equivalentClass,X8,X9) )
& ( icext(X8,esk4_2(X8,X9))
| icext(X9,esk4_2(X8,X9))
| ~ ic(X8)
| ~ ic(X9)
| iext(uri_owl_equivalentClass,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_equivalentclass])])])])])])]) ).
cnf(c_0_31,plain,
( ic(X1)
| ~ iext(uri_owl_unionOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
( icext(X5,X6)
| ~ 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_oneOf,X5,X3)
| X6 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,plain,
( icext(X7,X8)
| ~ 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_rdf_rest,X5,X3)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_owl_oneOf,X7,X5)
| X8 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_34,plain,
( X1 = X2
| X3 = X2
| X4 = X2
| ~ icext(uri_ex_c3,X2)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk9_0,X1)
| ~ iext(uri_rdf_rest,esk9_0,X6)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_first,X5,X4)
| ~ iext(uri_rdf_rest,X6,X5) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_35,plain,
iext(uri_rdf_first,esk10_0,uri_ex_w2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_36,plain,
iext(uri_rdf_rest,esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_37,plain,
( X1 = X2
| X3 = X2
| ~ icext(uri_ex_c1,X2)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk5_0,X1)
| ~ iext(uri_rdf_rest,esk5_0,X4)
| ~ iext(uri_rdf_first,X4,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_38,plain,
iext(uri_rdf_first,esk6_0,uri_ex_w2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_39,plain,
iext(uri_rdf_rest,esk6_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_40,plain,
iext(uri_rdf_rest,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_41,plain,
( uri_ex_w3 = X1
| X2 = X1
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,esk7_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_42,plain,
iext(uri_rdf_first,esk7_0,uri_ex_w2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_43,plain,
( icext(uri_ex_c2,X1)
| icext(uri_ex_c1,X1)
| ~ icext(uri_ex_c4,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_44,plain,
( iext(uri_owl_equivalentClass,X1,X2)
| icext(X2,esk4_2(X1,X2))
| icext(X1,esk4_2(X1,X2))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_45,plain,
ic(uri_ex_c4),
inference(spm,[status(thm)],[c_0_31,c_0_12]) ).
cnf(c_0_46,plain,
( icext(X5,X6)
| ~ 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_unionOf,X5,X3)
| ~ icext(X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_47,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_48,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_rest,X6,X3) ),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_49,plain,
( icext(X5,X6)
| ~ 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_oneOf,X5,X3)
| X6 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_50,plain,
( icext(X7,X8)
| ~ 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_rdf_rest,X5,X3)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_owl_oneOf,X7,X5)
| X8 != X6 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_51,plain,
( uri_ex_w2 = X1
| X2 = X1
| X3 = X1
| ~ icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk9_0,X2)
| ~ iext(uri_rdf_rest,esk10_0,X4)
| ~ iext(uri_rdf_first,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_52,plain,
iext(uri_rdf_first,esk11_0,uri_ex_w3),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_53,plain,
iext(uri_rdf_rest,esk11_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_54,plain,
iext(uri_rdf_rest,esk10_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_55,plain,
( uri_ex_w2 = X1
| X2 = X1
| ~ icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_first,esk5_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_56,plain,
iext(uri_rdf_first,esk5_0,uri_ex_w1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_57,plain,
( uri_ex_w3 = X1
| uri_ex_w2 = X1
| ~ icext(uri_ex_c2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_58,plain,
( icext(uri_ex_c2,esk4_2(X1,uri_ex_c4))
| icext(uri_ex_c1,esk4_2(X1,uri_ex_c4))
| icext(X1,esk4_2(X1,uri_ex_c4))
| iext(uri_owl_equivalentClass,X1,uri_ex_c4)
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
fof(c_0_59,plain,
! [X3,X4] :
( ( ic(X3)
| ~ iext(uri_owl_oneOf,X3,X4) )
& ( icext(uri_rdf_List,X4)
| ~ iext(uri_owl_oneOf,X3,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_oneof_ext])])]) ).
fof(c_0_60,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_021_Composite_Enumerations]) ).
cnf(c_0_61,plain,
( icext(uri_ex_c4,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk12_0,X4)
| ~ iext(uri_rdf_rest,esk12_0,X3)
| ~ iext(uri_rdf_first,X3,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_12]) ).
cnf(c_0_62,plain,
( icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk7_0,X3)
| ~ iext(uri_rdf_rest,esk7_0,X2)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_15]) ).
cnf(c_0_63,plain,
( icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk9_0,X3)
| ~ iext(uri_rdf_rest,esk9_0,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X1)
| ~ iext(uri_rdf_rest,X4,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_22]) ).
cnf(c_0_64,plain,
( icext(X5,X6)
| ~ 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_unionOf,X5,X3)
| ~ icext(X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_65,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_66,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_first,X3,X7)
| ~ iext(uri_rdf_rest,X4,X5)
| ~ iext(uri_rdf_rest,X5,X3) ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_67,plain,
( icext(X7,X8)
| ~ 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_rdf_rest,X5,X3)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_owl_oneOf,X7,X5)
| X8 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_68,plain,
( uri_ex_w2 = X1
| uri_ex_w3 = X1
| X2 = X1
| ~ icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_first,esk9_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_69,plain,
iext(uri_rdf_first,esk9_0,uri_ex_w1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_70,plain,
( uri_ex_w2 = X1
| uri_ex_w1 = X1
| ~ icext(uri_ex_c1,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_71,plain,
( esk4_2(X1,uri_ex_c4) = uri_ex_w3
| esk4_2(X1,uri_ex_c4) = uri_ex_w2
| icext(uri_ex_c1,esk4_2(X1,uri_ex_c4))
| icext(X1,esk4_2(X1,uri_ex_c4))
| iext(uri_owl_equivalentClass,X1,uri_ex_c4)
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_72,plain,
( ic(X1)
| ~ iext(uri_owl_oneOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_73,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
cnf(c_0_74,plain,
( icext(uri_ex_c4,X1)
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,esk12_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_75,plain,
( icext(uri_ex_c2,uri_ex_w3)
| ~ iext(uri_rdf_first,esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_76,plain,
( icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk9_0,X3)
| ~ iext(uri_rdf_rest,esk10_0,X2)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_35]),c_0_36])]) ).
cnf(c_0_77,plain,
( icext(uri_ex_c4,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk12_0,X2)
| ~ iext(uri_rdf_rest,esk12_0,X3)
| ~ iext(uri_rdf_first,X3,X4) ),
inference(spm,[status(thm)],[c_0_64,c_0_12]) ).
cnf(c_0_78,plain,
( icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk5_0,X1)
| ~ iext(uri_rdf_rest,esk5_0,X2)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(spm,[status(thm)],[c_0_65,c_0_23]) ).
cnf(c_0_79,plain,
( icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk9_0,X1)
| ~ iext(uri_rdf_rest,esk9_0,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_first,X2,X5)
| ~ iext(uri_rdf_rest,X3,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_22]) ).
cnf(c_0_80,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X6,X2)
| ~ iext(uri_rdf_first,X3,X7)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_rest,X6,X3) ),
inference(er,[status(thm)],[c_0_67]) ).
cnf(c_0_81,plain,
( uri_ex_w2 = X1
| uri_ex_w3 = X1
| uri_ex_w1 = X1
| ~ icext(uri_ex_c3,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_82,plain,
( esk4_2(X1,uri_ex_c4) = uri_ex_w2
| esk4_2(X1,uri_ex_c4) = uri_ex_w1
| esk4_2(X1,uri_ex_c4) = uri_ex_w3
| icext(X1,esk4_2(X1,uri_ex_c4))
| iext(uri_owl_equivalentClass,X1,uri_ex_c4)
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_83,plain,
ic(uri_ex_c3),
inference(spm,[status(thm)],[c_0_72,c_0_22]) ).
cnf(c_0_84,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_85,plain,
( icext(uri_ex_c4,X1)
| ~ icext(uri_ex_c2,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_29]) ).
cnf(c_0_86,plain,
icext(uri_ex_c2,uri_ex_w3),
inference(spm,[status(thm)],[c_0_75,c_0_42]) ).
cnf(c_0_87,plain,
( icext(uri_ex_c3,uri_ex_w3)
| ~ iext(uri_rdf_first,esk9_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_88,plain,
( icext(uri_ex_c4,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_first,esk12_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_89,plain,
( icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_first,esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_90,plain,
( icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk9_0,X1)
| ~ iext(uri_rdf_rest,esk10_0,X2)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_35]),c_0_36])]) ).
cnf(c_0_91,plain,
( icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk7_0,X1)
| ~ iext(uri_rdf_rest,esk7_0,X2)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(spm,[status(thm)],[c_0_65,c_0_15]) ).
cnf(c_0_92,plain,
( icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk9_0,X3)
| ~ iext(uri_rdf_rest,esk9_0,X4)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_rdf_first,X2,X5)
| ~ iext(uri_rdf_rest,X4,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_22]) ).
cnf(c_0_93,plain,
( iext(uri_owl_equivalentClass,X1,X2)
| ~ ic(X2)
| ~ ic(X1)
| ~ icext(X2,esk4_2(X1,X2))
| ~ icext(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_94,plain,
( esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w3
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]),c_0_84]) ).
cnf(c_0_95,plain,
icext(uri_ex_c4,uri_ex_w3),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_96,plain,
icext(uri_ex_c3,uri_ex_w3),
inference(spm,[status(thm)],[c_0_87,c_0_69]) ).
cnf(c_0_97,plain,
( icext(uri_ex_c4,X1)
| ~ icext(uri_ex_c1,X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_29]) ).
cnf(c_0_98,plain,
icext(uri_ex_c1,uri_ex_w1),
inference(spm,[status(thm)],[c_0_89,c_0_56]) ).
cnf(c_0_99,plain,
( icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_first,esk9_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_100,plain,
( icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_101,plain,
( icext(uri_ex_c3,uri_ex_w2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk9_0,X2)
| ~ iext(uri_rdf_rest,esk10_0,X1)
| ~ iext(uri_rdf_first,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_35]),c_0_36])]) ).
cnf(c_0_102,plain,
( esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96]),c_0_45]),c_0_83])]),c_0_84]) ).
cnf(c_0_103,plain,
icext(uri_ex_c4,uri_ex_w1),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_104,plain,
icext(uri_ex_c3,uri_ex_w1),
inference(spm,[status(thm)],[c_0_99,c_0_69]) ).
cnf(c_0_105,plain,
icext(uri_ex_c2,uri_ex_w2),
inference(spm,[status(thm)],[c_0_100,c_0_42]) ).
cnf(c_0_106,plain,
( icext(uri_ex_c3,uri_ex_w2)
| ~ iext(uri_rdf_first,esk9_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_107,plain,
esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_102]),c_0_103]),c_0_104]),c_0_45]),c_0_83])]),c_0_84]) ).
cnf(c_0_108,plain,
icext(uri_ex_c4,uri_ex_w2),
inference(spm,[status(thm)],[c_0_85,c_0_105]) ).
cnf(c_0_109,plain,
icext(uri_ex_c3,uri_ex_w2),
inference(spm,[status(thm)],[c_0_106,c_0_69]) ).
cnf(c_0_110,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_107]),c_0_108]),c_0_109]),c_0_45]),c_0_83])]),c_0_84]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB021+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n026.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 10:14:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.24/1.41 # Preprocessing time : 0.014 s
% 0.24/1.41
% 0.24/1.41 # Failure: Out of unprocessed clauses!
% 0.24/1.41 # OLD status GaveUp
% 0.24/1.41 # Parsed axioms : 8
% 0.24/1.41 # Removed by relevancy pruning/SinE : 6
% 0.24/1.41 # Initial clauses : 7
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 7
% 0.24/1.41 # Processed clauses : 7
% 0.24/1.41 # ...of these trivial : 0
% 0.24/1.41 # ...subsumed : 0
% 0.24/1.41 # ...remaining for further processing : 7
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 0
% 0.24/1.41 # Backward-rewritten : 0
% 0.24/1.41 # Generated clauses : 0
% 0.24/1.41 # ...of the previous two non-trivial : 0
% 0.24/1.41 # Contextual simplify-reflections : 0
% 0.24/1.41 # Paramodulations : 0
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 7
% 0.24/1.41 # Positive orientable unit clauses : 0
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 1
% 0.24/1.41 # Non-unit-clauses : 6
% 0.24/1.41 # Current number of unprocessed clauses: 0
% 0.24/1.41 # ...number of literals in the above : 0
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 0
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 4
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 4
% 0.24/1.41 # Non-unit clause-clause subsumptions : 0
% 0.24/1.41 # Unit Clause-clause subsumption calls : 0
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 0
% 0.24/1.41 # BW rewrite match successes : 0
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 737
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.010 s
% 0.24/1.41 # System time : 0.004 s
% 0.24/1.41 # Total time : 0.014 s
% 0.24/1.41 # Maximum resident set size: 2692 pages
% 0.24/1.41 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.24/1.41 # Preprocessing time : 0.014 s
% 0.24/1.41
% 0.24/1.41 # Failure: Out of unprocessed clauses!
% 0.24/1.41 # OLD status GaveUp
% 0.24/1.41 # Parsed axioms : 8
% 0.24/1.41 # Removed by relevancy pruning/SinE : 6
% 0.24/1.41 # Initial clauses : 7
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 7
% 0.24/1.41 # Processed clauses : 7
% 0.24/1.41 # ...of these trivial : 0
% 0.24/1.41 # ...subsumed : 0
% 0.24/1.41 # ...remaining for further processing : 7
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 0
% 0.24/1.41 # Backward-rewritten : 0
% 0.24/1.41 # Generated clauses : 0
% 0.24/1.41 # ...of the previous two non-trivial : 0
% 0.24/1.41 # Contextual simplify-reflections : 0
% 0.24/1.41 # Paramodulations : 0
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 7
% 0.24/1.41 # Positive orientable unit clauses : 0
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 1
% 0.24/1.41 # Non-unit-clauses : 6
% 0.24/1.41 # Current number of unprocessed clauses: 0
% 0.24/1.41 # ...number of literals in the above : 0
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 0
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 4
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 4
% 0.24/1.41 # Non-unit clause-clause subsumptions : 0
% 0.24/1.41 # Unit Clause-clause subsumption calls : 0
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 0
% 0.24/1.41 # BW rewrite match successes : 0
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 737
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.014 s
% 0.24/1.41 # System time : 0.000 s
% 0.24/1.41 # Total time : 0.014 s
% 0.24/1.41 # Maximum resident set size: 2696 pages
% 0.24/1.41 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.24/1.41 # Preprocessing time : 0.014 s
% 0.24/1.41
% 0.24/1.41 # Failure: Out of unprocessed clauses!
% 0.24/1.41 # OLD status GaveUp
% 0.24/1.41 # Parsed axioms : 8
% 0.24/1.41 # Removed by relevancy pruning/SinE : 6
% 0.24/1.41 # Initial clauses : 7
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 7
% 0.24/1.41 # Processed clauses : 7
% 0.24/1.41 # ...of these trivial : 0
% 0.24/1.41 # ...subsumed : 0
% 0.24/1.41 # ...remaining for further processing : 7
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 0
% 0.24/1.41 # Backward-rewritten : 0
% 0.24/1.41 # Generated clauses : 0
% 0.24/1.41 # ...of the previous two non-trivial : 0
% 0.24/1.41 # Contextual simplify-reflections : 0
% 0.24/1.41 # Paramodulations : 0
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 7
% 0.24/1.41 # Positive orientable unit clauses : 0
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 1
% 0.24/1.41 # Non-unit-clauses : 6
% 0.24/1.41 # Current number of unprocessed clauses: 0
% 0.24/1.41 # ...number of literals in the above : 0
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 0
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 4
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 4
% 0.24/1.41 # Non-unit clause-clause subsumptions : 0
% 0.24/1.41 # Unit Clause-clause subsumption calls : 0
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 0
% 0.24/1.41 # BW rewrite match successes : 0
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 737
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.013 s
% 0.24/1.41 # System time : 0.001 s
% 0.24/1.41 # Total time : 0.014 s
% 0.24/1.41 # Maximum resident set size: 2792 pages
% 0.24/1.41 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.24/1.41 # Preprocessing time : 0.017 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 111
% 0.24/1.41 # Proof object clause steps : 94
% 0.24/1.41 # Proof object formula steps : 17
% 0.24/1.41 # Proof object conjectures : 4
% 0.24/1.41 # Proof object clause conjectures : 1
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 37
% 0.24/1.41 # Proof object initial formulas used : 8
% 0.24/1.41 # Proof object generating inferences : 52
% 0.24/1.41 # Proof object simplifying inferences : 72
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 8
% 0.24/1.41 # Removed by relevancy pruning/SinE : 0
% 0.24/1.41 # Initial clauses : 58
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 58
% 0.24/1.41 # Processed clauses : 643
% 0.24/1.41 # ...of these trivial : 6
% 0.24/1.41 # ...subsumed : 117
% 0.24/1.41 # ...remaining for further processing : 520
% 0.24/1.41 # Other redundant clauses eliminated : 5
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 148
% 0.24/1.41 # Backward-rewritten : 19
% 0.24/1.41 # Generated clauses : 1099
% 0.24/1.41 # ...of the previous two non-trivial : 810
% 0.24/1.41 # Contextual simplify-reflections : 0
% 0.24/1.41 # Paramodulations : 1049
% 0.24/1.41 # Factorizations : 45
% 0.24/1.41 # Equation resolutions : 5
% 0.24/1.41 # Current number of processed clauses : 348
% 0.24/1.41 # Positive orientable unit clauses : 45
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 1
% 0.24/1.41 # Non-unit-clauses : 302
% 0.24/1.41 # Current number of unprocessed clauses: 128
% 0.24/1.41 # ...number of literals in the above : 1043
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 167
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 16074
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 2570
% 0.24/1.41 # Non-unit clause-clause subsumptions : 265
% 0.24/1.41 # Unit Clause-clause subsumption calls : 670
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 7
% 0.24/1.41 # BW rewrite match successes : 6
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 32732
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.061 s
% 0.24/1.41 # System time : 0.002 s
% 0.24/1.41 # Total time : 0.063 s
% 0.24/1.41 # Maximum resident set size: 3780 pages
%------------------------------------------------------------------------------