TSTP Solution File: SWB079+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWB079+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:37:22 EDT 2023
% Result : Theorem 58.78s 8.00s
% Output : CNFRefutation 58.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 77 ( 21 unt; 0 def)
% Number of atoms : 333 ( 34 equ)
% Maximal formula atoms : 53 ( 4 avg)
% Number of connectives : 423 ( 167 ~; 185 |; 54 &)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 15 con; 0-5 aty)
% Number of variables : 134 ( 6 sgn; 60 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_enum_class_001,axiom,
! [X11,X12,X21] :
( ( iext(uri_rdf_first,X12,X21)
& iext(uri_rdf_rest,X12,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X11,X12)
<=> ( ic(X11)
& ! [X4] :
( icext(X11,X4)
<=> X4 = X21 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zFu8PrE8Ci/E---3.1_14622.p',owl_enum_class_001) ).
fof(premise_rdfbased_sem_rdfsext_subclass_ext,axiom,
? [X42,X37,X38] :
( iext(uri_owl_oneOf,uri_ex_c2,X42)
& iext(uri_rdf_first,X42,uri_ex_w)
& iext(uri_rdf_rest,X42,X37)
& iext(uri_owl_oneOf,uri_ex_c1,X38)
& iext(uri_rdf_first,X38,uri_ex_w)
& iext(uri_rdf_rest,X38,uri_rdf_nil)
& iext(uri_rdf_first,X37,uri_ex_u)
& iext(uri_rdf_rest,X37,uri_rdf_nil) ),
file('/export/starexec/sandbox/tmp/tmp.zFu8PrE8Ci/E---3.1_14622.p',premise_rdfbased_sem_rdfsext_subclass_ext) ).
fof(owl_bool_unionof_class_000,axiom,
! [X11] :
( iext(uri_owl_unionOf,X11,uri_rdf_nil)
<=> ( ic(X11)
& ! [X4] : ~ icext(X11,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.zFu8PrE8Ci/E---3.1_14622.p',owl_bool_unionof_class_000) ).
fof(owl_prop_oneof_ext,axiom,
! [X4,X7] :
( iext(uri_owl_oneOf,X4,X7)
=> ( ic(X4)
& icext(uri_rdf_List,X7) ) ),
file('/export/starexec/sandbox/tmp/tmp.zFu8PrE8Ci/E---3.1_14622.p',owl_prop_oneof_ext) ).
fof(rdfs_subclassof_main,axiom,
! [X5,X6] :
( iext(uri_rdfs_subClassOf,X5,X6)
=> ( ic(X5)
& ic(X6)
& ! [X4] :
( icext(X5,X4)
=> icext(X6,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zFu8PrE8Ci/E---3.1_14622.p',rdfs_subclassof_main) ).
fof(rdfs_subclassof_reflex,axiom,
! [X5] :
( ic(X5)
=> iext(uri_rdfs_subClassOf,X5,X5) ),
file('/export/starexec/sandbox/tmp/tmp.zFu8PrE8Ci/E---3.1_14622.p',rdfs_subclassof_reflex) ).
fof(owl_key_000,axiom,
! [X5] :
( iext(uri_owl_hasKey,X5,uri_rdf_nil)
<=> ( ic(X5)
& ! [X4,X7] :
( ( icext(X5,X4)
& icext(X5,X7) )
=> X4 = X7 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zFu8PrE8Ci/E---3.1_14622.p',owl_key_000) ).
fof(owl_rdfsext_subclassof,axiom,
! [X13,X15] :
( iext(uri_rdfs_subClassOf,X13,X15)
<=> ( ic(X13)
& ic(X15)
& ! [X4] :
( icext(X13,X4)
=> icext(X15,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zFu8PrE8Ci/E---3.1_14622.p',owl_rdfsext_subclassof) ).
fof(owl_prop_haskey_ext,axiom,
! [X4,X7] :
( iext(uri_owl_hasKey,X4,X7)
=> ( ic(X4)
& icext(uri_rdf_List,X7) ) ),
file('/export/starexec/sandbox/tmp/tmp.zFu8PrE8Ci/E---3.1_14622.p',owl_prop_haskey_ext) ).
fof(owl_enum_class_002,axiom,
! [X11,X12,X21,X14,X22] :
( ( iext(uri_rdf_first,X12,X21)
& iext(uri_rdf_rest,X12,X14)
& iext(uri_rdf_first,X14,X22)
& iext(uri_rdf_rest,X14,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X11,X12)
<=> ( ic(X11)
& ! [X4] :
( icext(X11,X4)
<=> ( X4 = X21
| X4 = X22 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zFu8PrE8Ci/E---3.1_14622.p',owl_enum_class_002) ).
fof(conclusion_rdfbased_sem_rdfsext_subclass_ext,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
file('/export/starexec/sandbox/tmp/tmp.zFu8PrE8Ci/E---3.1_14622.p',conclusion_rdfbased_sem_rdfsext_subclass_ext) ).
fof(c_0_11,plain,
! [X122,X123,X124,X125,X126] :
( ( ic(X122)
| ~ iext(uri_owl_oneOf,X122,X123)
| ~ iext(uri_rdf_first,X123,X124)
| ~ iext(uri_rdf_rest,X123,uri_rdf_nil) )
& ( ~ icext(X122,X125)
| X125 = X124
| ~ iext(uri_owl_oneOf,X122,X123)
| ~ iext(uri_rdf_first,X123,X124)
| ~ iext(uri_rdf_rest,X123,uri_rdf_nil) )
& ( X126 != X124
| icext(X122,X126)
| ~ iext(uri_owl_oneOf,X122,X123)
| ~ iext(uri_rdf_first,X123,X124)
| ~ iext(uri_rdf_rest,X123,uri_rdf_nil) )
& ( ~ icext(X122,esk14_3(X122,X123,X124))
| esk14_3(X122,X123,X124) != X124
| ~ ic(X122)
| iext(uri_owl_oneOf,X122,X123)
| ~ iext(uri_rdf_first,X123,X124)
| ~ iext(uri_rdf_rest,X123,uri_rdf_nil) )
& ( icext(X122,esk14_3(X122,X123,X124))
| esk14_3(X122,X123,X124) = X124
| ~ ic(X122)
| iext(uri_owl_oneOf,X122,X123)
| ~ iext(uri_rdf_first,X123,X124)
| ~ iext(uri_rdf_rest,X123,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_enum_class_001])])])])])]) ).
cnf(c_0_12,plain,
( icext(X3,X1)
| X1 != X2
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_13,plain,
( iext(uri_owl_oneOf,uri_ex_c2,esk1_0)
& iext(uri_rdf_first,esk1_0,uri_ex_w)
& iext(uri_rdf_rest,esk1_0,esk2_0)
& iext(uri_owl_oneOf,uri_ex_c1,esk3_0)
& iext(uri_rdf_first,esk3_0,uri_ex_w)
& iext(uri_rdf_rest,esk3_0,uri_rdf_nil)
& iext(uri_rdf_first,esk2_0,uri_ex_u)
& iext(uri_rdf_rest,esk2_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_rdfsext_subclass_ext])]) ).
fof(c_0_14,plain,
! [X11] :
( iext(uri_owl_unionOf,X11,uri_rdf_nil)
<=> ( ic(X11)
& ! [X4] : ~ icext(X11,X4) ) ),
inference(fof_simplification,[status(thm)],[owl_bool_unionof_class_000]) ).
fof(c_0_15,plain,
! [X116,X117] :
( ( ic(X116)
| ~ iext(uri_owl_oneOf,X116,X117) )
& ( icext(uri_rdf_List,X117)
| ~ iext(uri_owl_oneOf,X116,X117) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_oneof_ext])])]) ).
cnf(c_0_16,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_owl_oneOf,X1,X3) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
iext(uri_rdf_first,esk3_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
iext(uri_rdf_rest,esk3_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
! [X51,X52,X53] :
( ( ic(X51)
| ~ iext(uri_rdfs_subClassOf,X51,X52) )
& ( ic(X52)
| ~ iext(uri_rdfs_subClassOf,X51,X52) )
& ( ~ icext(X51,X53)
| icext(X52,X53)
| ~ iext(uri_rdfs_subClassOf,X51,X52) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_subclassof_main])])])]) ).
fof(c_0_20,plain,
! [X929,X930,X931] :
( ( ic(X929)
| ~ iext(uri_owl_unionOf,X929,uri_rdf_nil) )
& ( ~ icext(X929,X930)
| ~ iext(uri_owl_unionOf,X929,uri_rdf_nil) )
& ( ~ ic(X931)
| icext(X931,esk164_1(X931))
| iext(uri_owl_unionOf,X931,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])])]) ).
fof(c_0_21,plain,
! [X54] :
( ~ ic(X54)
| iext(uri_rdfs_subClassOf,X54,X54) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_subclassof_reflex])]) ).
cnf(c_0_22,plain,
( ic(X1)
| ~ iext(uri_owl_oneOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
iext(uri_owl_oneOf,uri_ex_c1,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,plain,
( icext(X1,uri_ex_w)
| ~ iext(uri_owl_oneOf,X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
fof(c_0_25,plain,
! [X803,X804,X805,X806] :
( ( ic(X803)
| ~ iext(uri_owl_hasKey,X803,uri_rdf_nil) )
& ( ~ icext(X803,X804)
| ~ icext(X803,X805)
| X804 = X805
| ~ iext(uri_owl_hasKey,X803,uri_rdf_nil) )
& ( icext(X806,esk136_1(X806))
| ~ ic(X806)
| iext(uri_owl_hasKey,X806,uri_rdf_nil) )
& ( icext(X806,esk137_1(X806))
| ~ ic(X806)
| iext(uri_owl_hasKey,X806,uri_rdf_nil) )
& ( esk136_1(X806) != esk137_1(X806)
| ~ ic(X806)
| iext(uri_owl_hasKey,X806,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_key_000])])])])])]) ).
cnf(c_0_26,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
( icext(X1,esk164_1(X1))
| iext(uri_owl_unionOf,X1,uri_rdf_nil)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( ic(X1)
| ~ iext(uri_rdfs_subClassOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( iext(uri_rdfs_subClassOf,X1,X1)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
ic(uri_ex_c1),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,plain,
( ~ icext(X1,X2)
| ~ iext(uri_owl_unionOf,X1,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
icext(uri_ex_c1,uri_ex_w),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_33,plain,
( X2 = X3
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,plain,
( icext(X1,esk137_1(X1))
| iext(uri_owl_hasKey,X1,uri_rdf_nil)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_35,plain,
! [X58,X59,X60,X61,X62] :
( ( ic(X58)
| ~ iext(uri_rdfs_subClassOf,X58,X59) )
& ( ic(X59)
| ~ iext(uri_rdfs_subClassOf,X58,X59) )
& ( ~ icext(X58,X60)
| icext(X59,X60)
| ~ iext(uri_rdfs_subClassOf,X58,X59) )
& ( icext(X61,esk4_2(X61,X62))
| ~ ic(X61)
| ~ ic(X62)
| iext(uri_rdfs_subClassOf,X61,X62) )
& ( ~ icext(X62,esk4_2(X61,X62))
| ~ ic(X61)
| ~ ic(X62)
| iext(uri_rdfs_subClassOf,X61,X62) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof])])])])])]) ).
cnf(c_0_36,plain,
( icext(X1,esk164_1(X2))
| iext(uri_owl_unionOf,X2,uri_rdf_nil)
| ~ iext(uri_rdfs_subClassOf,X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_37,plain,
iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c1),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,plain,
~ iext(uri_owl_unionOf,uri_ex_c1,uri_rdf_nil),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( esk137_1(X1) = X2
| iext(uri_owl_hasKey,X1,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_owl_oneOf,X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_22]) ).
fof(c_0_40,plain,
! [X526,X527] :
( ( ic(X526)
| ~ iext(uri_owl_hasKey,X526,X527) )
& ( icext(uri_rdf_List,X527)
| ~ iext(uri_owl_hasKey,X526,X527) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_haskey_ext])])]) ).
cnf(c_0_41,plain,
( icext(X1,esk4_2(X1,X2))
| iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
icext(uri_ex_c1,esk164_1(uri_ex_c1)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_43,plain,
( icext(X1,esk136_1(X1))
| iext(uri_owl_hasKey,X1,uri_rdf_nil)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_44,plain,
( esk137_1(X1) = uri_ex_w
| iext(uri_owl_hasKey,X1,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_17]),c_0_18])]) ).
fof(c_0_45,plain,
! [X128,X129,X130,X131,X132,X133,X134] :
( ( ic(X128)
| ~ iext(uri_owl_oneOf,X128,X129)
| ~ iext(uri_rdf_first,X129,X130)
| ~ iext(uri_rdf_rest,X129,X131)
| ~ iext(uri_rdf_first,X131,X132)
| ~ iext(uri_rdf_rest,X131,uri_rdf_nil) )
& ( ~ icext(X128,X133)
| X133 = X130
| X133 = X132
| ~ iext(uri_owl_oneOf,X128,X129)
| ~ iext(uri_rdf_first,X129,X130)
| ~ iext(uri_rdf_rest,X129,X131)
| ~ iext(uri_rdf_first,X131,X132)
| ~ iext(uri_rdf_rest,X131,uri_rdf_nil) )
& ( X134 != X130
| icext(X128,X134)
| ~ iext(uri_owl_oneOf,X128,X129)
| ~ iext(uri_rdf_first,X129,X130)
| ~ iext(uri_rdf_rest,X129,X131)
| ~ iext(uri_rdf_first,X131,X132)
| ~ iext(uri_rdf_rest,X131,uri_rdf_nil) )
& ( X134 != X132
| icext(X128,X134)
| ~ iext(uri_owl_oneOf,X128,X129)
| ~ iext(uri_rdf_first,X129,X130)
| ~ iext(uri_rdf_rest,X129,X131)
| ~ iext(uri_rdf_first,X131,X132)
| ~ iext(uri_rdf_rest,X131,uri_rdf_nil) )
& ( esk15_5(X128,X129,X130,X131,X132) != X130
| ~ icext(X128,esk15_5(X128,X129,X130,X131,X132))
| ~ ic(X128)
| iext(uri_owl_oneOf,X128,X129)
| ~ iext(uri_rdf_first,X129,X130)
| ~ iext(uri_rdf_rest,X129,X131)
| ~ iext(uri_rdf_first,X131,X132)
| ~ iext(uri_rdf_rest,X131,uri_rdf_nil) )
& ( esk15_5(X128,X129,X130,X131,X132) != X132
| ~ icext(X128,esk15_5(X128,X129,X130,X131,X132))
| ~ ic(X128)
| iext(uri_owl_oneOf,X128,X129)
| ~ iext(uri_rdf_first,X129,X130)
| ~ iext(uri_rdf_rest,X129,X131)
| ~ iext(uri_rdf_first,X131,X132)
| ~ iext(uri_rdf_rest,X131,uri_rdf_nil) )
& ( icext(X128,esk15_5(X128,X129,X130,X131,X132))
| esk15_5(X128,X129,X130,X131,X132) = X130
| esk15_5(X128,X129,X130,X131,X132) = X132
| ~ ic(X128)
| iext(uri_owl_oneOf,X128,X129)
| ~ iext(uri_rdf_first,X129,X130)
| ~ iext(uri_rdf_rest,X129,X131)
| ~ iext(uri_rdf_first,X131,X132)
| ~ iext(uri_rdf_rest,X131,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_enum_class_002])])])])])]) ).
cnf(c_0_46,plain,
( X2 = X3
| ~ icext(X1,X2)
| ~ icext(X1,X3)
| ~ iext(uri_owl_hasKey,X1,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_47,plain,
( ic(X1)
| ~ iext(uri_owl_hasKey,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
( icext(X1,esk4_2(X2,X3))
| iext(uri_rdfs_subClassOf,X2,X3)
| ~ ic(X3)
| ~ iext(uri_rdfs_subClassOf,X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_41]),c_0_28]) ).
cnf(c_0_49,plain,
( esk164_1(uri_ex_c1) = X1
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,uri_ex_c1,X2)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_42]) ).
cnf(c_0_50,plain,
( esk136_1(X1) = X2
| iext(uri_owl_hasKey,X1,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_owl_oneOf,X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_43]),c_0_22]) ).
cnf(c_0_51,plain,
( iext(uri_owl_hasKey,X1,uri_rdf_nil)
| esk136_1(X1) != esk137_1(X1)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_52,plain,
( esk137_1(uri_ex_c1) = uri_ex_w
| iext(uri_owl_hasKey,uri_ex_c1,uri_rdf_nil) ),
inference(spm,[status(thm)],[c_0_44,c_0_23]) ).
cnf(c_0_53,plain,
( icext(X3,X1)
| X1 != X2
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X4,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,plain,
( X1 = esk164_1(X2)
| ~ icext(X2,X1)
| ~ iext(uri_owl_hasKey,X2,uri_rdf_nil) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_27]),c_0_47]),c_0_31]) ).
cnf(c_0_55,plain,
( icext(uri_ex_c1,esk4_2(uri_ex_c1,X1))
| iext(uri_rdfs_subClassOf,uri_ex_c1,X1)
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_37]) ).
cnf(c_0_56,plain,
esk164_1(uri_ex_c1) = uri_ex_w,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_17]),c_0_18]),c_0_23])]) ).
cnf(c_0_57,plain,
( esk136_1(X1) = uri_ex_w
| iext(uri_owl_hasKey,X1,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_17]),c_0_18])]) ).
cnf(c_0_58,plain,
( iext(uri_owl_hasKey,uri_ex_c1,uri_rdf_nil)
| esk136_1(uri_ex_c1) != uri_ex_w ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_30])]) ).
cnf(c_0_59,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_first,X5,X2)
| ~ iext(uri_rdf_rest,X5,X3)
| ~ iext(uri_owl_oneOf,X1,X5) ),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_60,plain,
iext(uri_rdf_first,esk2_0,uri_ex_u),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_61,plain,
iext(uri_rdf_rest,esk2_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_62,plain,
( esk4_2(uri_ex_c1,X1) = uri_ex_w
| iext(uri_rdfs_subClassOf,uri_ex_c1,X1)
| ~ ic(X1)
| ~ iext(uri_owl_hasKey,uri_ex_c1,uri_rdf_nil) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_63,plain,
iext(uri_owl_hasKey,uri_ex_c1,uri_rdf_nil),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_23]),c_0_58]) ).
cnf(c_0_64,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,esk2_0)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_owl_oneOf,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).
cnf(c_0_65,plain,
iext(uri_rdf_first,esk1_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_66,plain,
iext(uri_rdf_rest,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_67,plain,
( iext(uri_rdfs_subClassOf,X2,X1)
| ~ icext(X1,esk4_2(X2,X1))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_68,plain,
( esk4_2(uri_ex_c1,X1) = uri_ex_w
| iext(uri_rdfs_subClassOf,uri_ex_c1,X1)
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).
cnf(c_0_69,plain,
( icext(X1,uri_ex_w)
| ~ iext(uri_owl_oneOf,X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).
cnf(c_0_70,plain,
iext(uri_owl_oneOf,uri_ex_c2,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_71,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_rdfsext_subclass_ext])]) ).
cnf(c_0_72,plain,
( iext(uri_rdfs_subClassOf,uri_ex_c1,X1)
| ~ ic(X1)
| ~ icext(X1,uri_ex_w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_30])]) ).
cnf(c_0_73,plain,
icext(uri_ex_c2,uri_ex_w),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_74,plain,
ic(uri_ex_c2),
inference(spm,[status(thm)],[c_0_22,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_76,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]),c_0_75]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17 % Problem : SWB079+1 : TPTP v8.1.2. Released v5.2.0.
% 0.19/0.18 % Command : run_E %s %d THM
% 0.19/0.39 % Computer : n017.cluster.edu
% 0.19/0.39 % Model : x86_64 x86_64
% 0.19/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.39 % Memory : 8042.1875MB
% 0.19/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.39 % CPULimit : 2400
% 0.19/0.39 % WCLimit : 300
% 0.19/0.39 % DateTime : Mon Oct 2 19:50:41 EDT 2023
% 0.19/0.39 % CPUTime :
% 0.39/0.58 Running first-order theorem proving
% 0.39/0.58 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.zFu8PrE8Ci/E---3.1_14622.p
% 58.78/8.00 # Version: 3.1pre001
% 58.78/8.00 # Preprocessing class: FSLMSMSLSSSNFFN.
% 58.78/8.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 58.78/8.00 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 58.78/8.00 # Starting new_bool_3 with 600s (2) cores
% 58.78/8.00 # Starting new_bool_1 with 600s (2) cores
% 58.78/8.00 # Starting sh5l with 300s (1) cores
% 58.78/8.00 # sh5l with pid 14703 completed with status 0
% 58.78/8.00 # Result found by sh5l
% 58.78/8.00 # Preprocessing class: FSLMSMSLSSSNFFN.
% 58.78/8.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 58.78/8.00 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 58.78/8.00 # Starting new_bool_3 with 600s (2) cores
% 58.78/8.00 # Starting new_bool_1 with 600s (2) cores
% 58.78/8.00 # Starting sh5l with 300s (1) cores
% 58.78/8.00 # SinE strategy is gf500_gu_R04_F100_L20000
% 58.78/8.00 # Search class: FGHSF-FMLM33-SFFFFFNN
% 58.78/8.00 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 58.78/8.00 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 58.78/8.00 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 14708 completed with status 0
% 58.78/8.00 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 58.78/8.00 # Preprocessing class: FSLMSMSLSSSNFFN.
% 58.78/8.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 58.78/8.00 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 58.78/8.00 # Starting new_bool_3 with 600s (2) cores
% 58.78/8.00 # Starting new_bool_1 with 600s (2) cores
% 58.78/8.00 # Starting sh5l with 300s (1) cores
% 58.78/8.00 # SinE strategy is gf500_gu_R04_F100_L20000
% 58.78/8.00 # Search class: FGHSF-FMLM33-SFFFFFNN
% 58.78/8.00 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 58.78/8.00 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 58.78/8.00 # Preprocessing time : 0.019 s
% 58.78/8.00 # Presaturation interreduction done
% 58.78/8.00
% 58.78/8.00 # Proof found!
% 58.78/8.00 # SZS status Theorem
% 58.78/8.00 # SZS output start CNFRefutation
% See solution above
% 58.78/8.00 # Parsed axioms : 560
% 58.78/8.00 # Removed by relevancy pruning/SinE : 234
% 58.78/8.00 # Initial clauses : 929
% 58.78/8.00 # Removed in clause preprocessing : 40
% 58.78/8.00 # Initial clauses in saturation : 889
% 58.78/8.00 # Processed clauses : 27163
% 58.78/8.00 # ...of these trivial : 221
% 58.78/8.00 # ...subsumed : 11491
% 58.78/8.00 # ...remaining for further processing : 15451
% 58.78/8.00 # Other redundant clauses eliminated : 14
% 58.78/8.00 # Clauses deleted for lack of memory : 0
% 58.78/8.00 # Backward-subsumed : 242
% 58.78/8.00 # Backward-rewritten : 45
% 58.78/8.00 # Generated clauses : 136576
% 58.78/8.00 # ...of the previous two non-redundant : 131392
% 58.78/8.00 # ...aggressively subsumed : 0
% 58.78/8.00 # Contextual simplify-reflections : 110
% 58.78/8.00 # Paramodulations : 136544
% 58.78/8.00 # Factorizations : 12
% 58.78/8.00 # NegExts : 0
% 58.78/8.00 # Equation resolutions : 14
% 58.78/8.00 # Total rewrite steps : 11914
% 58.78/8.00 # Propositional unsat checks : 3
% 58.78/8.00 # Propositional check models : 0
% 58.78/8.00 # Propositional check unsatisfiable : 0
% 58.78/8.00 # Propositional clauses : 0
% 58.78/8.00 # Propositional clauses after purity: 0
% 58.78/8.00 # Propositional unsat core size : 0
% 58.78/8.00 # Propositional preprocessing time : 0.000
% 58.78/8.00 # Propositional encoding time : 0.255
% 58.78/8.00 # Propositional solver time : 0.192
% 58.78/8.00 # Success case prop preproc time : 0.000
% 58.78/8.00 # Success case prop encoding time : 0.000
% 58.78/8.00 # Success case prop solver time : 0.000
% 58.78/8.00 # Current number of processed clauses : 14329
% 58.78/8.00 # Positive orientable unit clauses : 681
% 58.78/8.00 # Positive unorientable unit clauses: 0
% 58.78/8.00 # Negative unit clauses : 41
% 58.78/8.00 # Non-unit-clauses : 13607
% 58.78/8.00 # Current number of unprocessed clauses: 105688
% 58.78/8.00 # ...number of literals in the above : 767176
% 58.78/8.00 # Current number of archived formulas : 0
% 58.78/8.00 # Current number of archived clauses : 1108
% 58.78/8.00 # Clause-clause subsumption calls (NU) : 35895473
% 58.78/8.00 # Rec. Clause-clause subsumption calls : 14676993
% 58.78/8.00 # Non-unit clause-clause subsumptions : 11151
% 58.78/8.00 # Unit Clause-clause subsumption calls : 105172
% 58.78/8.00 # Rewrite failures with RHS unbound : 0
% 58.78/8.00 # BW rewrite match attempts : 217
% 58.78/8.00 # BW rewrite match successes : 5
% 58.78/8.00 # Condensation attempts : 0
% 58.78/8.00 # Condensation successes : 0
% 58.78/8.00 # Termbank termtop insertions : 5117693
% 58.78/8.00
% 58.78/8.00 # -------------------------------------------------
% 58.78/8.00 # User time : 7.150 s
% 58.78/8.00 # System time : 0.152 s
% 58.78/8.00 # Total time : 7.302 s
% 58.78/8.00 # Maximum resident set size: 5372 pages
% 58.78/8.00
% 58.78/8.00 # -------------------------------------------------
% 58.78/8.00 # User time : 7.164 s
% 58.78/8.00 # System time : 0.153 s
% 58.78/8.00 # Total time : 7.317 s
% 58.78/8.00 # Maximum resident set size: 2236 pages
% 58.78/8.00 % E---3.1 exiting
% 58.78/8.00 % E---3.1 exiting
%------------------------------------------------------------------------------