TSTP Solution File: SWB020+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWB020+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 96 ( 32 unt; 0 def)
% Number of atoms : 545 ( 0 equ)
% Maximal formula atoms : 124 ( 5 avg)
% Number of connectives : 788 ( 339 ~; 351 |; 81 &)
% ( 13 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-7 aty)
% Number of variables : 184 ( 23 sgn 68 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(testcase_premise_fullish_020_Logical_Complications,axiom,
? [X11,X12,X13,X14,X15,X16,X17] :
( iext(uri_owl_unionOf,uri_ex_c,X13)
& iext(uri_rdf_first,X13,uri_ex_c1)
& iext(uri_rdf_rest,X13,X14)
& iext(uri_rdf_first,X14,uri_ex_c2)
& iext(uri_rdf_rest,X14,X15)
& iext(uri_rdf_first,X15,uri_ex_c3)
& iext(uri_rdf_rest,X15,uri_rdf_nil)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_d,X11)
& iext(uri_owl_intersectionOf,X11,X16)
& iext(uri_rdf_first,X16,uri_ex_c)
& iext(uri_rdf_rest,X16,X17)
& iext(uri_rdf_first,X17,X12)
& iext(uri_rdf_rest,X17,uri_rdf_nil)
& iext(uri_owl_complementOf,X12,uri_ex_c2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_premise_fullish_020_Logical_Complications) ).
fof(owl_bool_unionof_class_003,axiom,
! [X3,X5,X6,X7,X8,X9,X10] :
( ( iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X5,X7)
& iext(uri_rdf_first,X7,X8)
& iext(uri_rdf_rest,X7,X9)
& iext(uri_rdf_first,X9,X10)
& iext(uri_rdf_rest,X9,uri_rdf_nil) )
=> ( iext(uri_owl_unionOf,X3,X5)
<=> ( ic(X3)
& ic(X6)
& ic(X8)
& ic(X10)
& ! [X1] :
( icext(X3,X1)
<=> ( icext(X6,X1)
| icext(X8,X1)
| icext(X10,X1) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_bool_unionof_class_003) ).
fof(owl_bool_intersectionof_class_002,axiom,
! [X3,X5,X6,X7,X8] :
( ( iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X5,X7)
& iext(uri_rdf_first,X7,X8)
& iext(uri_rdf_rest,X7,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,X3,X5)
<=> ( ic(X3)
& ic(X6)
& ic(X8)
& ! [X1] :
( icext(X3,X1)
<=> ( icext(X6,X1)
& icext(X8,X1) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_bool_intersectionof_class_002) ).
fof(testcase_conclusion_fullish_020_Logical_Complications,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_conclusion_fullish_020_Logical_Complications) ).
fof(owl_rdfsext_subclassof,axiom,
! [X6,X8] :
( iext(uri_rdfs_subClassOf,X6,X8)
<=> ( ic(X6)
& ic(X8)
& ! [X1] :
( icext(X6,X1)
=> icext(X8,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_rdfsext_subclassof) ).
fof(owl_eqdis_disjointwith,axiom,
! [X6,X8] :
( iext(uri_owl_disjointWith,X6,X8)
<=> ( ic(X6)
& ic(X8)
& ! [X1] :
~ ( icext(X6,X1)
& icext(X8,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_eqdis_disjointwith) ).
fof(owl_bool_complementof_class,axiom,
! [X3,X4] :
( iext(uri_owl_complementOf,X3,X4)
=> ( ic(X3)
& ic(X4)
& ! [X1] :
( icext(X3,X1)
<=> ~ icext(X4,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_bool_complementof_class) ).
fof(c_0_7,plain,
( ~ epred30_0
<=> ! [X2,X3,X6,X5,X4] :
( ~ iext(uri_owl_unionOf,X6,X2)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X4,esk9_0) ) ),
introduced(definition) ).
fof(c_0_8,plain,
( iext(uri_owl_unionOf,uri_ex_c,esk7_0)
& iext(uri_rdf_first,esk7_0,uri_ex_c1)
& iext(uri_rdf_rest,esk7_0,esk8_0)
& iext(uri_rdf_first,esk8_0,uri_ex_c2)
& iext(uri_rdf_rest,esk8_0,esk9_0)
& iext(uri_rdf_first,esk9_0,uri_ex_c3)
& iext(uri_rdf_rest,esk9_0,uri_rdf_nil)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_d,esk5_0)
& iext(uri_owl_intersectionOf,esk5_0,esk10_0)
& iext(uri_rdf_first,esk10_0,uri_ex_c)
& iext(uri_rdf_rest,esk10_0,esk11_0)
& iext(uri_rdf_first,esk11_0,esk6_0)
& iext(uri_rdf_rest,esk11_0,uri_rdf_nil)
& iext(uri_owl_complementOf,esk6_0,uri_ex_c2) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_020_Logical_Complications])])]) ).
fof(c_0_9,plain,
( ~ epred42_0
<=> ! [X3] : ~ iext(uri_rdf_first,esk8_0,X3) ),
introduced(definition) ).
fof(c_0_10,plain,
( ~ epred41_0
<=> ! [X1,X4,X2] :
( epred30_0
| ~ iext(uri_rdf_first,X2,X4)
| ~ iext(uri_owl_unionOf,X1,X2)
| ~ iext(uri_rdf_rest,X2,esk8_0) ) ),
introduced(definition) ).
cnf(c_0_11,plain,
( epred30_0
| ~ iext(uri_rdf_rest,X1,esk9_0)
| ~ iext(uri_owl_unionOf,X2,X3)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_rdf_first,X3,X5) ),
inference(split_equiv,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
iext(uri_rdf_rest,esk8_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( epred42_0
| ~ iext(uri_rdf_first,esk8_0,X1) ),
inference(split_equiv,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
iext(uri_rdf_first,esk8_0,uri_ex_c2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_15,plain,
! [X11,X12,X13,X14,X15,X16,X17,X18,X18] :
( ( ic(X11)
| ~ iext(uri_owl_unionOf,X11,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( ic(X13)
| ~ iext(uri_owl_unionOf,X11,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( ic(X15)
| ~ iext(uri_owl_unionOf,X11,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( ic(X17)
| ~ iext(uri_owl_unionOf,X11,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( ~ icext(X11,X18)
| icext(X13,X18)
| icext(X15,X18)
| icext(X17,X18)
| ~ iext(uri_owl_unionOf,X11,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( ~ icext(X13,X18)
| icext(X11,X18)
| ~ iext(uri_owl_unionOf,X11,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( ~ icext(X15,X18)
| icext(X11,X18)
| ~ iext(uri_owl_unionOf,X11,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( ~ icext(X17,X18)
| icext(X11,X18)
| ~ iext(uri_owl_unionOf,X11,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( ~ icext(X13,esk2_7(X11,X12,X13,X14,X15,X16,X17))
| ~ icext(X11,esk2_7(X11,X12,X13,X14,X15,X16,X17))
| ~ ic(X11)
| ~ ic(X13)
| ~ ic(X15)
| ~ ic(X17)
| iext(uri_owl_unionOf,X11,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( ~ icext(X15,esk2_7(X11,X12,X13,X14,X15,X16,X17))
| ~ icext(X11,esk2_7(X11,X12,X13,X14,X15,X16,X17))
| ~ ic(X11)
| ~ ic(X13)
| ~ ic(X15)
| ~ ic(X17)
| iext(uri_owl_unionOf,X11,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( ~ icext(X17,esk2_7(X11,X12,X13,X14,X15,X16,X17))
| ~ icext(X11,esk2_7(X11,X12,X13,X14,X15,X16,X17))
| ~ ic(X11)
| ~ ic(X13)
| ~ ic(X15)
| ~ ic(X17)
| iext(uri_owl_unionOf,X11,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,uri_rdf_nil) )
& ( icext(X11,esk2_7(X11,X12,X13,X14,X15,X16,X17))
| icext(X13,esk2_7(X11,X12,X13,X14,X15,X16,X17))
| icext(X15,esk2_7(X11,X12,X13,X14,X15,X16,X17))
| icext(X17,esk2_7(X11,X12,X13,X14,X15,X16,X17))
| ~ ic(X11)
| ~ ic(X13)
| ~ ic(X15)
| ~ ic(X17)
| iext(uri_owl_unionOf,X11,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,X16)
| ~ iext(uri_rdf_first,X16,X17)
| ~ iext(uri_rdf_rest,X16,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_003])])])])])])]) ).
fof(c_0_16,plain,
! [X9,X10,X11,X12,X13,X14,X14] :
( ( ic(X9)
| ~ iext(uri_owl_intersectionOf,X9,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,uri_rdf_nil) )
& ( ic(X11)
| ~ iext(uri_owl_intersectionOf,X9,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,uri_rdf_nil) )
& ( ic(X13)
| ~ iext(uri_owl_intersectionOf,X9,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,uri_rdf_nil) )
& ( icext(X11,X14)
| ~ icext(X9,X14)
| ~ iext(uri_owl_intersectionOf,X9,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,uri_rdf_nil) )
& ( icext(X13,X14)
| ~ icext(X9,X14)
| ~ iext(uri_owl_intersectionOf,X9,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,uri_rdf_nil) )
& ( ~ icext(X11,X14)
| ~ icext(X13,X14)
| icext(X9,X14)
| ~ iext(uri_owl_intersectionOf,X9,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,uri_rdf_nil) )
& ( ~ icext(X9,esk1_5(X9,X10,X11,X12,X13))
| ~ icext(X11,esk1_5(X9,X10,X11,X12,X13))
| ~ icext(X13,esk1_5(X9,X10,X11,X12,X13))
| ~ ic(X9)
| ~ ic(X11)
| ~ ic(X13)
| iext(uri_owl_intersectionOf,X9,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,uri_rdf_nil) )
& ( icext(X11,esk1_5(X9,X10,X11,X12,X13))
| icext(X9,esk1_5(X9,X10,X11,X12,X13))
| ~ ic(X9)
| ~ ic(X11)
| ~ ic(X13)
| iext(uri_owl_intersectionOf,X9,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,uri_rdf_nil) )
& ( icext(X13,esk1_5(X9,X10,X11,X12,X13))
| icext(X9,esk1_5(X9,X10,X11,X12,X13))
| ~ ic(X9)
| ~ ic(X11)
| ~ ic(X13)
| iext(uri_owl_intersectionOf,X9,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,X12)
| ~ iext(uri_rdf_first,X12,X13)
| ~ iext(uri_rdf_rest,X12,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_intersectionof_class_002])])])])])])]) ).
fof(c_0_17,plain,
( ~ epred14_0
<=> ! [X5] : ~ iext(uri_rdf_first,esk11_0,X5) ),
introduced(definition) ).
fof(c_0_18,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_020_Logical_Complications]) ).
fof(c_0_19,plain,
! [X9,X10,X11,X9,X10] :
( ( ic(X9)
| ~ iext(uri_rdfs_subClassOf,X9,X10) )
& ( ic(X10)
| ~ iext(uri_rdfs_subClassOf,X9,X10) )
& ( ~ icext(X9,X11)
| icext(X10,X11)
| ~ iext(uri_rdfs_subClassOf,X9,X10) )
& ( icext(X9,esk3_2(X9,X10))
| ~ ic(X9)
| ~ ic(X10)
| iext(uri_rdfs_subClassOf,X9,X10) )
& ( ~ icext(X10,esk3_2(X9,X10))
| ~ ic(X9)
| ~ ic(X10)
| iext(uri_rdfs_subClassOf,X9,X10) ) ),
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_rdfsext_subclassof])])])])])])]) ).
cnf(c_0_20,plain,
( ~ epred42_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10]),c_0_9]) ).
cnf(c_0_21,plain,
epred42_0,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_22,plain,
( icext(X2,X8)
| icext(X4,X8)
| icext(X6,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_unionOf,X7,X5)
| ~ icext(X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
iext(uri_rdf_rest,esk9_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_24,plain,
( ~ epred13_0
<=> ! [X1,X2,X4,X3] :
( icext(X1,X2)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_rdf_rest,X4,esk11_0)
| ~ icext(X3,X2) ) ),
introduced(definition) ).
cnf(c_0_25,plain,
( 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_intersectionOf,X5,X3)
| ~ icext(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
iext(uri_rdf_rest,esk11_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,plain,
( epred14_0
| ~ iext(uri_rdf_first,esk11_0,X1) ),
inference(split_equiv,[status(thm)],[c_0_17]) ).
cnf(c_0_28,plain,
iext(uri_rdf_first,esk11_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_29,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
( ic(X1)
| ~ iext(uri_rdfs_subClassOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,plain,
iext(uri_rdfs_subClassOf,uri_ex_d,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,plain,
~ epred41_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
cnf(c_0_33,plain,
( icext(X1,X2)
| icext(X3,X2)
| icext(X4,X2)
| ~ icext(X5,X2)
| ~ iext(uri_rdf_first,esk9_0,X4)
| ~ iext(uri_rdf_rest,X6,esk9_0)
| ~ iext(uri_rdf_first,X7,X1)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_rest,X7,X6)
| ~ iext(uri_owl_unionOf,X5,X7) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_34,plain,
iext(uri_rdf_first,esk9_0,uri_ex_c3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_35,plain,
( ~ epred14_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_24]),c_0_17]) ).
cnf(c_0_36,plain,
epred14_0,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_37,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_subClassOf,X1,X2)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_38,plain,
( iext(uri_rdfs_subClassOf,X1,X2)
| icext(X1,esk3_2(X1,X2))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_39,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
ic(uri_ex_d),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_41,plain,
( ~ epred11_0
<=> ! [X1] :
( ic(X1)
| ~ iext(uri_rdf_first,esk9_0,X1) ) ),
introduced(definition) ).
cnf(c_0_42,plain,
( epred30_0
| ~ iext(uri_rdf_rest,X1,esk8_0)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_unionOf,X3,X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_10]),c_0_32]) ).
cnf(c_0_43,plain,
iext(uri_rdf_first,esk7_0,uri_ex_c1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_44,plain,
iext(uri_rdf_rest,esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_45,plain,
( icext(uri_ex_c3,X1)
| icext(X2,X1)
| icext(X3,X1)
| ~ icext(X4,X1)
| ~ iext(uri_rdf_rest,X5,esk9_0)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_first,X5,X2)
| ~ iext(uri_rdf_rest,X6,X5)
| ~ iext(uri_owl_unionOf,X4,X6) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_46,plain,
~ epred13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).
cnf(c_0_47,plain,
( icext(X1,esk3_2(X1,X2))
| icext(X2,X3)
| ~ icext(X1,X3)
| ~ ic(X2)
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,negated_conjecture,
( icext(uri_ex_d,esk3_2(uri_ex_d,uri_ex_c3))
| ~ ic(uri_ex_c3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_38]),c_0_40])]) ).
cnf(c_0_49,plain,
( epred11_0
| ic(X1)
| ~ iext(uri_rdf_first,esk9_0,X1) ),
inference(split_equiv,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( ic(X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X5,X3)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_owl_unionOf,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_51,plain,
( epred30_0
| ~ iext(uri_owl_unionOf,X1,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_52,plain,
iext(uri_owl_unionOf,uri_ex_c,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_53,plain,
( icext(uri_ex_c3,X1)
| icext(X2,X1)
| icext(X3,X1)
| ~ icext(X4,X1)
| ~ iext(uri_rdf_first,esk8_0,X3)
| ~ iext(uri_rdf_rest,X5,esk8_0)
| ~ iext(uri_rdf_first,X5,X2)
| ~ iext(uri_owl_unionOf,X4,X5) ),
inference(spm,[status(thm)],[c_0_45,c_0_12]) ).
cnf(c_0_54,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk11_0)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_24]),c_0_46]) ).
cnf(c_0_55,plain,
iext(uri_owl_intersectionOf,esk5_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_56,plain,
iext(uri_rdf_rest,esk10_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_57,negated_conjecture,
( icext(X1,esk3_2(uri_ex_d,uri_ex_c3))
| icext(uri_ex_d,esk3_2(uri_ex_d,X1))
| ~ ic(uri_ex_c3)
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_40])]) ).
cnf(c_0_58,plain,
( epred11_0
| ic(uri_ex_c3) ),
inference(spm,[status(thm)],[c_0_49,c_0_34]) ).
cnf(c_0_59,plain,
( ~ epred30_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_23]),c_0_41]),c_0_7]) ).
cnf(c_0_60,plain,
epred30_0,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,plain,
( icext(uri_ex_c2,X1)
| icext(uri_ex_c3,X1)
| icext(X2,X1)
| ~ icext(X3,X1)
| ~ iext(uri_rdf_rest,X4,esk8_0)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_owl_unionOf,X3,X4) ),
inference(spm,[status(thm)],[c_0_53,c_0_14]) ).
cnf(c_0_62,plain,
( icext(X1,X2)
| ~ icext(esk5_0,X2)
| ~ iext(uri_rdf_first,esk10_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_63,plain,
iext(uri_rdf_first,esk10_0,uri_ex_c),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_64,plain,
! [X9,X10,X11,X9,X10] :
( ( ic(X9)
| ~ iext(uri_owl_disjointWith,X9,X10) )
& ( ic(X10)
| ~ iext(uri_owl_disjointWith,X9,X10) )
& ( ~ icext(X9,X11)
| ~ icext(X10,X11)
| ~ iext(uri_owl_disjointWith,X9,X10) )
& ( icext(X9,esk4_2(X9,X10))
| ~ ic(X9)
| ~ ic(X10)
| iext(uri_owl_disjointWith,X9,X10) )
& ( icext(X10,esk4_2(X9,X10))
| ~ ic(X9)
| ~ ic(X10)
| iext(uri_owl_disjointWith,X9,X10) ) ),
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_disjointwith])])])])])])]) ).
cnf(c_0_65,plain,
( iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X2)
| ~ ic(X1)
| ~ icext(X2,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_66,negated_conjecture,
( epred11_0
| icext(uri_ex_d,esk3_2(uri_ex_d,X1))
| icext(X1,esk3_2(uri_ex_d,uri_ex_c3))
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,plain,
( icext(X2,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_intersectionOf,X5,X3)
| ~ icext(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_68,plain,
~ epred11_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]) ).
cnf(c_0_69,plain,
( icext(uri_ex_c1,X1)
| icext(uri_ex_c3,X1)
| icext(uri_ex_c2,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_unionOf,X2,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_43]),c_0_44])]) ).
cnf(c_0_70,plain,
( icext(uri_ex_c,X1)
| ~ icext(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,plain,
( icext(esk5_0,X1)
| ~ icext(uri_ex_d,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_72,plain,
( ~ iext(uri_owl_disjointWith,X1,X2)
| ~ icext(X2,X3)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_73,plain,
iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_74,negated_conjecture,
( ~ icext(uri_ex_c3,esk3_2(uri_ex_d,uri_ex_c3))
| ~ ic(uri_ex_c3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_65]),c_0_40])]) ).
cnf(c_0_75,negated_conjecture,
( epred11_0
| icext(uri_ex_c3,esk3_2(uri_ex_d,uri_ex_c3))
| icext(uri_ex_d,esk3_2(uri_ex_d,uri_ex_c3)) ),
inference(spm,[status(thm)],[c_0_66,c_0_58]) ).
cnf(c_0_76,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk11_0,X1)
| ~ iext(uri_rdf_rest,X4,esk11_0)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_owl_intersectionOf,X3,X4) ),
inference(spm,[status(thm)],[c_0_67,c_0_26]) ).
fof(c_0_77,plain,
! [X5,X6,X7,X7] :
( ( ic(X5)
| ~ iext(uri_owl_complementOf,X5,X6) )
& ( ic(X6)
| ~ iext(uri_owl_complementOf,X5,X6) )
& ( ~ icext(X5,X7)
| ~ icext(X6,X7)
| ~ iext(uri_owl_complementOf,X5,X6) )
& ( icext(X6,X7)
| icext(X5,X7)
| ~ iext(uri_owl_complementOf,X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[owl_bool_complementof_class])])])])])])]) ).
cnf(c_0_78,plain,
ic(uri_ex_c3),
inference(sr,[status(thm)],[c_0_58,c_0_68]) ).
cnf(c_0_79,plain,
( icext(uri_ex_c2,X1)
| icext(uri_ex_c3,X1)
| icext(uri_ex_c1,X1)
| ~ icext(uri_ex_c,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_52]) ).
cnf(c_0_80,plain,
( icext(uri_ex_c,X1)
| ~ icext(uri_ex_d,X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_81,plain,
( ~ icext(uri_ex_c1,X1)
| ~ icext(uri_ex_d,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_82,negated_conjecture,
( epred11_0
| icext(uri_ex_d,esk3_2(uri_ex_d,uri_ex_c3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_58]) ).
cnf(c_0_83,plain,
( icext(esk6_0,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_rest,X3,esk11_0)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_intersectionOf,X2,X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_28]) ).
cnf(c_0_84,plain,
( ~ iext(uri_owl_complementOf,X1,X2)
| ~ icext(X2,X3)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_85,plain,
iext(uri_owl_complementOf,esk6_0,uri_ex_c2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_86,negated_conjecture,
~ icext(uri_ex_c3,esk3_2(uri_ex_d,uri_ex_c3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_78])]) ).
cnf(c_0_87,plain,
( icext(uri_ex_c3,X1)
| icext(uri_ex_c2,X1)
| ~ icext(uri_ex_d,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_88,negated_conjecture,
icext(uri_ex_d,esk3_2(uri_ex_d,uri_ex_c3)),
inference(sr,[status(thm)],[c_0_82,c_0_68]) ).
cnf(c_0_89,plain,
( icext(esk6_0,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_intersectionOf,X2,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_63]),c_0_56])]) ).
cnf(c_0_90,plain,
( ~ icext(uri_ex_c2,X1)
| ~ icext(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_91,negated_conjecture,
icext(uri_ex_c2,esk3_2(uri_ex_d,uri_ex_c3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_92,plain,
( icext(esk6_0,X1)
| ~ icext(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_55]) ).
cnf(c_0_93,negated_conjecture,
~ icext(esk6_0,esk3_2(uri_ex_d,uri_ex_c3)),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_94,plain,
( icext(esk6_0,X1)
| ~ icext(uri_ex_d,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_71]) ).
cnf(c_0_95,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_88])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB020+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 1 07:40:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.017 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 96
% 0.23/1.41 # Proof object clause steps : 75
% 0.23/1.41 # Proof object formula steps : 21
% 0.23/1.41 # Proof object conjectures : 15
% 0.23/1.41 # Proof object clause conjectures : 12
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 30
% 0.23/1.41 # Proof object initial formulas used : 7
% 0.23/1.41 # Proof object generating inferences : 37
% 0.23/1.41 # Proof object simplifying inferences : 38
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 8
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 53
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 53
% 0.23/1.41 # Processed clauses : 1196
% 0.23/1.41 # ...of these trivial : 9
% 0.23/1.41 # ...subsumed : 375
% 0.23/1.41 # ...remaining for further processing : 812
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 60
% 0.23/1.41 # Backward-rewritten : 83
% 0.23/1.41 # Generated clauses : 3582
% 0.23/1.41 # ...of the previous two non-trivial : 3440
% 0.23/1.41 # Contextual simplify-reflections : 815
% 0.23/1.41 # Paramodulations : 3436
% 0.23/1.41 # Factorizations : 2
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 611
% 0.23/1.41 # Positive orientable unit clauses : 63
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 41
% 0.23/1.41 # Non-unit-clauses : 507
% 0.23/1.41 # Current number of unprocessed clauses: 1863
% 0.23/1.41 # ...number of literals in the above : 14121
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 155
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 313296
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 34654
% 0.23/1.41 # Non-unit clause-clause subsumptions : 1254
% 0.23/1.41 # Unit Clause-clause subsumption calls : 7144
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 40
% 0.23/1.41 # BW rewrite match successes : 40
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 97201
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.203 s
% 0.23/1.41 # System time : 0.004 s
% 0.23/1.41 # Total time : 0.207 s
% 0.23/1.41 # Maximum resident set size: 6404 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
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% 0.23/23.44 eprover: No such file or directory
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% 0.23/23.45 eprover: No such file or directory
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% 0.23/23.47 eprover: No such file or directory
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% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------