TSTP Solution File: SWB021+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB021+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:02:01 EDT 2023
% Result : Theorem 41.79s 41.83s
% Output : CNFRefutation 41.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 38
% Syntax : Number of formulae : 156 ( 29 unt; 30 typ; 0 def)
% Number of atoms : 766 ( 80 equ)
% Maximal formula atoms : 88 ( 6 avg)
% Number of connectives : 1115 ( 475 ~; 536 |; 91 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 7 >; 18 *; 0 +; 0 <<)
% 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 : 341 ( 43 sgn; 60 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
uri_owl_oneOf: $i ).
tff(decl_23,type,
iext: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
ic: $i > $o ).
tff(decl_25,type,
uri_rdf_List: $i ).
tff(decl_26,type,
icext: ( $i * $i ) > $o ).
tff(decl_27,type,
uri_owl_unionOf: $i ).
tff(decl_28,type,
uri_rdf_first: $i ).
tff(decl_29,type,
uri_rdf_rest: $i ).
tff(decl_30,type,
uri_rdf_nil: $i ).
tff(decl_31,type,
uri_owl_equivalentClass: $i ).
tff(decl_32,type,
uri_ex_c3: $i ).
tff(decl_33,type,
uri_ex_c4: $i ).
tff(decl_34,type,
uri_ex_c1: $i ).
tff(decl_35,type,
uri_ex_w1: $i ).
tff(decl_36,type,
uri_ex_w2: $i ).
tff(decl_37,type,
uri_ex_c2: $i ).
tff(decl_38,type,
uri_ex_w3: $i ).
tff(decl_39,type,
esk1_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
esk2_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
esk3_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_43,type,
esk5_0: $i ).
tff(decl_44,type,
esk6_0: $i ).
tff(decl_45,type,
esk7_0: $i ).
tff(decl_46,type,
esk8_0: $i ).
tff(decl_47,type,
esk9_0: $i ).
tff(decl_48,type,
esk10_0: $i ).
tff(decl_49,type,
esk11_0: $i ).
tff(decl_50,type,
esk12_0: $i ).
tff(decl_51,type,
esk13_0: $i ).
fof(owl_prop_unionof_ext,axiom,
! [X1,X2] :
( iext(uri_owl_unionOf,X1,X2)
=> ( ic(X1)
& icext(uri_rdf_List,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).
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/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_021_Composite_Enumerations) ).
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/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
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/sandbox2/benchmark/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/sandbox2/benchmark/theBenchmark.p',owl_prop_oneof_ext) ).
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/sandbox2/benchmark/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/sandbox2/benchmark/theBenchmark.p',owl_enum_class_003) ).
fof(testcase_conclusion_fullish_021_Composite_Enumerations,conjecture,
iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_021_Composite_Enumerations) ).
fof(c_0_8,plain,
! [X23,X24] :
( ( ic(X23)
| ~ iext(uri_owl_unionOf,X23,X24) )
& ( icext(uri_rdf_List,X24)
| ~ iext(uri_owl_unionOf,X23,X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_unionof_ext])])]) ).
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,
! [X25,X26,X27,X28,X29,X30,X31] :
( ( ic(X25)
| ~ iext(uri_owl_unionOf,X25,X26)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
& ( ic(X27)
| ~ iext(uri_owl_unionOf,X25,X26)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
& ( ic(X29)
| ~ iext(uri_owl_unionOf,X25,X26)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
& ( ~ icext(X25,X30)
| icext(X27,X30)
| icext(X29,X30)
| ~ iext(uri_owl_unionOf,X25,X26)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
& ( ~ icext(X27,X31)
| icext(X25,X31)
| ~ iext(uri_owl_unionOf,X25,X26)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
& ( ~ icext(X29,X31)
| icext(X25,X31)
| ~ iext(uri_owl_unionOf,X25,X26)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
& ( ~ icext(X27,esk1_5(X25,X26,X27,X28,X29))
| ~ icext(X25,esk1_5(X25,X26,X27,X28,X29))
| ~ ic(X25)
| ~ ic(X27)
| ~ ic(X29)
| iext(uri_owl_unionOf,X25,X26)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
& ( ~ icext(X29,esk1_5(X25,X26,X27,X28,X29))
| ~ icext(X25,esk1_5(X25,X26,X27,X28,X29))
| ~ ic(X25)
| ~ ic(X27)
| ~ ic(X29)
| iext(uri_owl_unionOf,X25,X26)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
& ( icext(X25,esk1_5(X25,X26,X27,X28,X29))
| icext(X27,esk1_5(X25,X26,X27,X28,X29))
| icext(X29,esk1_5(X25,X26,X27,X28,X29))
| ~ ic(X25)
| ~ ic(X27)
| ~ ic(X29)
| iext(uri_owl_unionOf,X25,X26)
| ~ iext(uri_rdf_first,X26,X27)
| ~ iext(uri_rdf_rest,X26,X28)
| ~ iext(uri_rdf_first,X28,X29)
| ~ iext(uri_rdf_rest,X28,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_bool_unionof_class_002])])])])])]) ).
fof(c_0_11,plain,
! [X51,X52,X53,X54,X55,X56] :
( ( ic(X51)
| ~ iext(uri_owl_equivalentClass,X51,X52) )
& ( ic(X52)
| ~ iext(uri_owl_equivalentClass,X51,X52) )
& ( ~ icext(X51,X53)
| icext(X52,X53)
| ~ iext(uri_owl_equivalentClass,X51,X52) )
& ( ~ icext(X52,X54)
| icext(X51,X54)
| ~ iext(uri_owl_equivalentClass,X51,X52) )
& ( ~ icext(X55,esk4_2(X55,X56))
| ~ icext(X56,esk4_2(X55,X56))
| ~ ic(X55)
| ~ ic(X56)
| iext(uri_owl_equivalentClass,X55,X56) )
& ( icext(X55,esk4_2(X55,X56))
| icext(X56,esk4_2(X55,X56))
| ~ ic(X55)
| ~ ic(X56)
| iext(uri_owl_equivalentClass,X55,X56) ) ),
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_eqdis_equivalentclass])])])])])]) ).
cnf(c_0_12,plain,
( ic(X1)
| ~ iext(uri_owl_unionOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
iext(uri_owl_unionOf,uri_ex_c4,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X21,X22] :
( ( ic(X21)
| ~ iext(uri_owl_oneOf,X21,X22) )
& ( icext(uri_rdf_List,X22)
| ~ iext(uri_owl_oneOf,X21,X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_oneof_ext])])]) ).
fof(c_0_15,plain,
! [X33,X34,X35,X36,X37,X38,X39] :
( ( ic(X33)
| ~ iext(uri_owl_oneOf,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) )
& ( ~ icext(X33,X38)
| X38 = X35
| X38 = X37
| ~ iext(uri_owl_oneOf,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) )
& ( X39 != X35
| icext(X33,X39)
| ~ iext(uri_owl_oneOf,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) )
& ( X39 != X37
| icext(X33,X39)
| ~ iext(uri_owl_oneOf,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) )
& ( esk2_5(X33,X34,X35,X36,X37) != X35
| ~ icext(X33,esk2_5(X33,X34,X35,X36,X37))
| ~ ic(X33)
| iext(uri_owl_oneOf,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) )
& ( esk2_5(X33,X34,X35,X36,X37) != X37
| ~ icext(X33,esk2_5(X33,X34,X35,X36,X37))
| ~ ic(X33)
| iext(uri_owl_oneOf,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,uri_rdf_nil) )
& ( icext(X33,esk2_5(X33,X34,X35,X36,X37))
| esk2_5(X33,X34,X35,X36,X37) = X35
| esk2_5(X33,X34,X35,X36,X37) = X37
| ~ ic(X33)
| iext(uri_owl_oneOf,X33,X34)
| ~ iext(uri_rdf_first,X34,X35)
| ~ iext(uri_rdf_rest,X34,X36)
| ~ iext(uri_rdf_first,X36,X37)
| ~ iext(uri_rdf_rest,X36,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])])])])])]) ).
fof(c_0_16,plain,
! [X41,X42,X43,X44,X45,X46,X47,X48,X49] :
( ( ic(X41)
| ~ iext(uri_owl_oneOf,X41,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,X44)
| ~ iext(uri_rdf_first,X44,X45)
| ~ iext(uri_rdf_rest,X44,X46)
| ~ iext(uri_rdf_first,X46,X47)
| ~ iext(uri_rdf_rest,X46,uri_rdf_nil) )
& ( ~ icext(X41,X48)
| X48 = X43
| X48 = X45
| X48 = X47
| ~ iext(uri_owl_oneOf,X41,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,X44)
| ~ iext(uri_rdf_first,X44,X45)
| ~ iext(uri_rdf_rest,X44,X46)
| ~ iext(uri_rdf_first,X46,X47)
| ~ iext(uri_rdf_rest,X46,uri_rdf_nil) )
& ( X49 != X43
| icext(X41,X49)
| ~ iext(uri_owl_oneOf,X41,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,X44)
| ~ iext(uri_rdf_first,X44,X45)
| ~ iext(uri_rdf_rest,X44,X46)
| ~ iext(uri_rdf_first,X46,X47)
| ~ iext(uri_rdf_rest,X46,uri_rdf_nil) )
& ( X49 != X45
| icext(X41,X49)
| ~ iext(uri_owl_oneOf,X41,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,X44)
| ~ iext(uri_rdf_first,X44,X45)
| ~ iext(uri_rdf_rest,X44,X46)
| ~ iext(uri_rdf_first,X46,X47)
| ~ iext(uri_rdf_rest,X46,uri_rdf_nil) )
& ( X49 != X47
| icext(X41,X49)
| ~ iext(uri_owl_oneOf,X41,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,X44)
| ~ iext(uri_rdf_first,X44,X45)
| ~ iext(uri_rdf_rest,X44,X46)
| ~ iext(uri_rdf_first,X46,X47)
| ~ iext(uri_rdf_rest,X46,uri_rdf_nil) )
& ( esk3_7(X41,X42,X43,X44,X45,X46,X47) != X43
| ~ icext(X41,esk3_7(X41,X42,X43,X44,X45,X46,X47))
| ~ ic(X41)
| iext(uri_owl_oneOf,X41,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,X44)
| ~ iext(uri_rdf_first,X44,X45)
| ~ iext(uri_rdf_rest,X44,X46)
| ~ iext(uri_rdf_first,X46,X47)
| ~ iext(uri_rdf_rest,X46,uri_rdf_nil) )
& ( esk3_7(X41,X42,X43,X44,X45,X46,X47) != X45
| ~ icext(X41,esk3_7(X41,X42,X43,X44,X45,X46,X47))
| ~ ic(X41)
| iext(uri_owl_oneOf,X41,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,X44)
| ~ iext(uri_rdf_first,X44,X45)
| ~ iext(uri_rdf_rest,X44,X46)
| ~ iext(uri_rdf_first,X46,X47)
| ~ iext(uri_rdf_rest,X46,uri_rdf_nil) )
& ( esk3_7(X41,X42,X43,X44,X45,X46,X47) != X47
| ~ icext(X41,esk3_7(X41,X42,X43,X44,X45,X46,X47))
| ~ ic(X41)
| iext(uri_owl_oneOf,X41,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,X44)
| ~ iext(uri_rdf_first,X44,X45)
| ~ iext(uri_rdf_rest,X44,X46)
| ~ iext(uri_rdf_first,X46,X47)
| ~ iext(uri_rdf_rest,X46,uri_rdf_nil) )
& ( icext(X41,esk3_7(X41,X42,X43,X44,X45,X46,X47))
| esk3_7(X41,X42,X43,X44,X45,X46,X47) = X43
| esk3_7(X41,X42,X43,X44,X45,X46,X47) = X45
| esk3_7(X41,X42,X43,X44,X45,X46,X47) = X47
| ~ ic(X41)
| iext(uri_owl_oneOf,X41,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,X44)
| ~ iext(uri_rdf_first,X44,X45)
| ~ iext(uri_rdf_rest,X44,X46)
| ~ iext(uri_rdf_first,X46,X47)
| ~ iext(uri_rdf_rest,X46,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_003])])])])])]) ).
cnf(c_0_17,plain,
( icext(X3,X2)
| icext(X4,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_unionOf,X1,X5)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_rest,X5,X6)
| ~ iext(uri_rdf_first,X6,X4)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
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,
( icext(X1,esk4_2(X1,X2))
| icext(X2,esk4_2(X1,X2))
| iext(uri_owl_equivalentClass,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
ic(uri_ex_c4),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,plain,
( ic(X1)
| ~ iext(uri_owl_oneOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
iext(uri_owl_oneOf,uri_ex_c3,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_23,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_021_Composite_Enumerations])]) ).
cnf(c_0_24,plain,
( icext(X3,X1)
| X1 != X2
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_first,X6,X2)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,plain,
( icext(X3,X1)
| X1 != X2
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_rest,X6,X8)
| ~ iext(uri_rdf_first,X8,X2)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( X2 = X3
| X2 = X4
| X2 = X5
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,X6)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_rest,X6,X7)
| ~ iext(uri_rdf_first,X7,X4)
| ~ iext(uri_rdf_rest,X7,X8)
| ~ iext(uri_rdf_first,X8,X5)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
iext(uri_rdf_rest,esk11_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,plain,
( X2 = X3
| X2 = X4
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,X5)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_rest,X5,X6)
| ~ iext(uri_rdf_first,X6,X4)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,plain,
iext(uri_rdf_rest,esk8_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_30,plain,
( icext(X1,X2)
| icext(X3,X2)
| ~ icext(X4,X2)
| ~ iext(uri_rdf_first,esk13_0,X3)
| ~ iext(uri_rdf_rest,X5,esk13_0)
| ~ iext(uri_owl_unionOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_31,plain,
iext(uri_rdf_rest,esk12_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_32,plain,
( icext(uri_ex_c4,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_19,c_0_20]) ).
cnf(c_0_33,plain,
ic(uri_ex_c3),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_34,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,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_15]) ).
cnf(c_0_36,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,X7)
| ~ iext(uri_rdf_first,X7,X8)
| ~ iext(uri_rdf_rest,X7,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_37,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_unionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_first,X6,X1)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_38,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_39,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_first,X4,X7)
| ~ iext(uri_rdf_rest,X5,X3)
| ~ iext(uri_rdf_rest,X4,X5) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_40,plain,
( X1 = X2
| X1 = X3
| X1 = X4
| ~ icext(X5,X1)
| ~ iext(uri_rdf_first,esk11_0,X4)
| ~ iext(uri_rdf_rest,X6,esk11_0)
| ~ iext(uri_owl_oneOf,X5,X7)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_first,X7,X2)
| ~ iext(uri_rdf_rest,X7,X6) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_41,plain,
iext(uri_rdf_first,esk11_0,uri_ex_w3),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_42,plain,
iext(uri_rdf_rest,esk6_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_43,plain,
( X1 = X2
| X1 = X3
| ~ icext(X4,X1)
| ~ iext(uri_rdf_first,esk8_0,X3)
| ~ iext(uri_rdf_rest,X5,esk8_0)
| ~ iext(uri_owl_oneOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_44,plain,
iext(uri_rdf_first,esk8_0,uri_ex_w3),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_45,plain,
( icext(X1,X2)
| icext(X3,X2)
| ~ icext(uri_ex_c4,X2)
| ~ iext(uri_rdf_first,esk13_0,X1)
| ~ iext(uri_rdf_first,esk12_0,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_13]),c_0_31])]) ).
cnf(c_0_46,plain,
( icext(uri_ex_c3,esk4_2(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c4,esk4_2(uri_ex_c3,uri_ex_c4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_47,plain,
( icext(X3,X1)
| X1 != X2
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_first,X6,X2)
| ~ iext(uri_rdf_rest,X6,X7)
| ~ iext(uri_rdf_first,X7,X8)
| ~ iext(uri_rdf_rest,X7,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_48,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_unionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1)
| ~ 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_10]) ).
cnf(c_0_49,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_50,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X6,X3)
| ~ iext(uri_rdf_rest,X4,X6) ),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_51,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk13_0,X3)
| ~ iext(uri_rdf_rest,X4,esk13_0)
| ~ iext(uri_owl_unionOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X5) ),
inference(spm,[status(thm)],[c_0_37,c_0_18]) ).
cnf(c_0_52,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk8_0,X2)
| ~ iext(uri_rdf_rest,X3,esk8_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_29]) ).
cnf(c_0_53,plain,
iext(uri_owl_oneOf,uri_ex_c2,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_54,plain,
iext(uri_rdf_rest,esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_55,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk11_0,X2)
| ~ iext(uri_rdf_rest,X3,esk11_0)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_first,X4,X6)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_27]) ).
cnf(c_0_56,plain,
iext(uri_rdf_rest,esk10_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_57,plain,
( X1 = uri_ex_w3
| X1 = X2
| X1 = X3
| ~ icext(X4,X1)
| ~ iext(uri_rdf_rest,X5,esk11_0)
| ~ iext(uri_owl_oneOf,X4,X6)
| ~ iext(uri_rdf_first,X5,X2)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_rest,X6,X5) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_58,plain,
( X1 = X2
| X1 = X3
| ~ icext(X4,X1)
| ~ iext(uri_rdf_first,esk6_0,X3)
| ~ iext(uri_rdf_rest,X5,esk6_0)
| ~ iext(uri_owl_oneOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_42]) ).
cnf(c_0_59,plain,
iext(uri_rdf_first,esk6_0,uri_ex_w2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_60,plain,
( X1 = uri_ex_w3
| X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_rest,X4,esk8_0)
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_61,plain,
( icext(uri_ex_c3,esk4_2(uri_ex_c3,uri_ex_c4))
| icext(X1,esk4_2(uri_ex_c3,uri_ex_c4))
| icext(X2,esk4_2(uri_ex_c3,uri_ex_c4))
| ~ iext(uri_rdf_first,esk13_0,X2)
| ~ iext(uri_rdf_first,esk12_0,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_62,plain,
iext(uri_rdf_first,esk13_0,uri_ex_c2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_63,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_first,X6,X2)
| ~ iext(uri_rdf_first,X4,X7)
| ~ iext(uri_rdf_rest,X6,X3)
| ~ iext(uri_rdf_rest,X4,X6) ),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_64,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk13_0,X4)
| ~ iext(uri_rdf_rest,X5,esk13_0)
| ~ iext(uri_owl_unionOf,X1,X5)
| ~ iext(uri_rdf_first,X5,X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_18]) ).
cnf(c_0_65,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk6_0,X3)
| ~ iext(uri_rdf_rest,X4,esk6_0)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_42]) ).
cnf(c_0_66,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk11_0,X3)
| ~ iext(uri_rdf_rest,X4,esk11_0)
| ~ iext(uri_owl_oneOf,X1,X5)
| ~ iext(uri_rdf_first,X4,X6)
| ~ iext(uri_rdf_first,X5,X2)
| ~ iext(uri_rdf_rest,X5,X4) ),
inference(spm,[status(thm)],[c_0_50,c_0_27]) ).
cnf(c_0_67,plain,
( icext(uri_ex_c4,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_first,esk13_0,X2)
| ~ iext(uri_rdf_first,esk12_0,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_13]),c_0_31])]) ).
cnf(c_0_68,plain,
iext(uri_rdf_first,esk12_0,uri_ex_c1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_69,plain,
( icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,esk8_0,X1)
| ~ iext(uri_rdf_first,esk7_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
cnf(c_0_70,plain,
iext(uri_rdf_first,esk7_0,uri_ex_w2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_71,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk11_0,X2)
| ~ iext(uri_rdf_first,esk10_0,X3)
| ~ iext(uri_rdf_rest,X4,esk10_0)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X5) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_72,plain,
iext(uri_rdf_first,esk10_0,uri_ex_w2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_73,plain,
( X1 = uri_ex_w3
| X1 = X2
| X1 = X3
| ~ icext(X4,X1)
| ~ iext(uri_rdf_first,esk10_0,X3)
| ~ iext(uri_rdf_rest,X5,esk10_0)
| ~ iext(uri_owl_oneOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_74,plain,
( X1 = uri_ex_w2
| X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_rest,X4,esk6_0)
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_75,plain,
iext(uri_owl_oneOf,uri_ex_c1,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_76,plain,
iext(uri_rdf_rest,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_77,plain,
( X1 = uri_ex_w3
| X1 = X2
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,esk7_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_53]),c_0_54])]) ).
cnf(c_0_78,plain,
( icext(uri_ex_c2,esk4_2(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c3,esk4_2(uri_ex_c3,uri_ex_c4))
| icext(X1,esk4_2(uri_ex_c3,uri_ex_c4))
| ~ iext(uri_rdf_first,esk12_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_79,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk6_0,X2)
| ~ iext(uri_rdf_rest,X3,esk6_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_42]) ).
cnf(c_0_80,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk11_0,X3)
| ~ iext(uri_rdf_rest,X4,esk11_0)
| ~ iext(uri_owl_oneOf,X1,X5)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,X4) ),
inference(spm,[status(thm)],[c_0_63,c_0_27]) ).
cnf(c_0_81,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk13_0)
| ~ iext(uri_owl_unionOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_62]) ).
cnf(c_0_82,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,esk6_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_59]) ).
cnf(c_0_83,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,esk11_0)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X5)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(spm,[status(thm)],[c_0_66,c_0_41]) ).
cnf(c_0_84,plain,
( icext(uri_ex_c4,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_first,esk13_0,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_85,plain,
( icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,esk8_0,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_86,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk11_0,X2)
| ~ iext(uri_rdf_rest,X3,esk10_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X4) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_87,plain,
iext(uri_rdf_rest,esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_88,plain,
( X1 = uri_ex_w2
| X1 = uri_ex_w3
| X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_rest,X4,esk10_0)
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_72]) ).
cnf(c_0_89,plain,
( X1 = uri_ex_w2
| X1 = X2
| ~ icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_first,esk5_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).
cnf(c_0_90,plain,
iext(uri_rdf_first,esk5_0,uri_ex_w1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_91,plain,
( X1 = uri_ex_w2
| X1 = uri_ex_w3
| ~ icext(uri_ex_c2,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_70]) ).
cnf(c_0_92,plain,
( icext(uri_ex_c1,esk4_2(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c3,esk4_2(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c2,esk4_2(uri_ex_c3,uri_ex_c4)) ),
inference(spm,[status(thm)],[c_0_78,c_0_68]) ).
cnf(c_0_93,plain,
( icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_first,esk6_0,X1)
| ~ iext(uri_rdf_first,esk5_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_75]),c_0_76])]) ).
cnf(c_0_94,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,esk11_0)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_41]) ).
cnf(c_0_95,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(spm,[status(thm)],[c_0_81,c_0_13]),c_0_31])]) ).
cnf(c_0_96,plain,
( icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_first,esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_75]),c_0_76])]) ).
cnf(c_0_97,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk10_0,X3)
| ~ iext(uri_rdf_rest,X4,esk10_0)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_56]) ).
cnf(c_0_98,plain,
( iext(uri_owl_equivalentClass,X1,X2)
| ~ icext(X1,esk4_2(X1,X2))
| ~ icext(X2,esk4_2(X1,X2))
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_99,plain,
( icext(uri_ex_c4,X1)
| ~ iext(uri_rdf_first,esk8_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_62])]) ).
cnf(c_0_100,plain,
( icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_first,esk11_0,X1)
| ~ iext(uri_rdf_first,esk9_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_22]),c_0_87])]) ).
cnf(c_0_101,plain,
iext(uri_rdf_first,esk9_0,uri_ex_w1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_102,plain,
( X1 = uri_ex_w3
| X1 = uri_ex_w2
| X1 = X2
| ~ icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_first,esk9_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_22]),c_0_87])]) ).
cnf(c_0_103,plain,
( X1 = uri_ex_w1
| X1 = uri_ex_w2
| ~ icext(uri_ex_c1,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_104,plain,
( esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w3
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2
| icext(uri_ex_c3,esk4_2(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c1,esk4_2(uri_ex_c3,uri_ex_c4)) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_105,plain,
( icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_first,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_90]) ).
cnf(c_0_106,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk10_0,X2)
| ~ iext(uri_rdf_rest,X3,esk10_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X4) ),
inference(spm,[status(thm)],[c_0_94,c_0_56]) ).
cnf(c_0_107,plain,
( icext(uri_ex_c4,X1)
| ~ iext(uri_rdf_first,esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_68])]) ).
cnf(c_0_108,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,esk10_0)
| ~ iext(uri_owl_oneOf,X1,X3)
| ~ iext(uri_rdf_first,X3,X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_72]) ).
cnf(c_0_109,plain,
( iext(uri_owl_equivalentClass,X1,uri_ex_c4)
| ~ icext(X1,esk4_2(X1,uri_ex_c4))
| ~ ic(X1)
| ~ iext(uri_rdf_first,esk8_0,esk4_2(X1,uri_ex_c4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_20])]) ).
cnf(c_0_110,plain,
( icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_first,esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_111,plain,
( X1 = uri_ex_w1
| X1 = uri_ex_w2
| X1 = uri_ex_w3
| ~ icext(uri_ex_c3,X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_101]) ).
cnf(c_0_112,plain,
( esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w3
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w1
| icext(uri_ex_c3,esk4_2(uri_ex_c3,uri_ex_c4)) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_113,plain,
( icext(uri_ex_c4,X1)
| ~ iext(uri_rdf_first,esk6_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_105]),c_0_68])]) ).
cnf(c_0_114,plain,
( icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_first,esk10_0,X1)
| ~ iext(uri_rdf_first,esk9_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_22]),c_0_87])]) ).
cnf(c_0_115,plain,
( iext(uri_owl_equivalentClass,X1,uri_ex_c4)
| ~ icext(X1,esk4_2(X1,uri_ex_c4))
| ~ ic(X1)
| ~ iext(uri_rdf_first,esk5_0,esk4_2(X1,uri_ex_c4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_107]),c_0_20])]) ).
cnf(c_0_116,plain,
( icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_first,esk9_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_22]),c_0_87])]) ).
cnf(c_0_117,plain,
( ~ iext(uri_rdf_first,esk8_0,esk4_2(uri_ex_c3,uri_ex_c4))
| ~ iext(uri_rdf_first,esk11_0,esk4_2(uri_ex_c3,uri_ex_c4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_33])]),c_0_34]) ).
cnf(c_0_118,plain,
( esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w3
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w1 ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_119,plain,
( iext(uri_owl_equivalentClass,X1,uri_ex_c4)
| ~ icext(X1,esk4_2(X1,uri_ex_c4))
| ~ ic(X1)
| ~ iext(uri_rdf_first,esk6_0,esk4_2(X1,uri_ex_c4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_113]),c_0_20])]) ).
cnf(c_0_120,plain,
( icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_first,esk10_0,X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_101]) ).
cnf(c_0_121,plain,
( ~ iext(uri_rdf_first,esk5_0,esk4_2(uri_ex_c3,uri_ex_c4))
| ~ iext(uri_rdf_first,esk9_0,esk4_2(uri_ex_c3,uri_ex_c4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_33])]),c_0_34]) ).
cnf(c_0_122,plain,
( esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w1
| esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_44]),c_0_41])]) ).
cnf(c_0_123,plain,
( ~ iext(uri_rdf_first,esk6_0,esk4_2(uri_ex_c3,uri_ex_c4))
| ~ iext(uri_rdf_first,esk10_0,esk4_2(uri_ex_c3,uri_ex_c4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_33])]),c_0_34]) ).
cnf(c_0_124,plain,
esk4_2(uri_ex_c3,uri_ex_c4) = uri_ex_w2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_90]),c_0_101])]) ).
cnf(c_0_125,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124]),c_0_59]),c_0_124]),c_0_72])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB021+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 07:10:54 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 41.79/41.83 % Version : CSE_E---1.5
% 41.79/41.83 % Problem : theBenchmark.p
% 41.79/41.83 % Proof found
% 41.79/41.83 % SZS status Theorem for theBenchmark.p
% 41.79/41.83 % SZS output start Proof
% See solution above
% 41.79/41.84 % Total time : 41.239000 s
% 41.79/41.84 % SZS output end Proof
% 41.79/41.84 % Total time : 41.244000 s
%------------------------------------------------------------------------------