TSTP Solution File: SWB039+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWB039+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 19:37:17 EDT 2023
% Result : Theorem 109.87s 14.34s
% Output : CNFRefutation 109.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 78 ( 14 unt; 0 def)
% Number of atoms : 421 ( 0 equ)
% Maximal formula atoms : 71 ( 5 avg)
% Number of connectives : 617 ( 274 ~; 295 |; 42 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-5 aty)
% Number of variables : 188 ( 23 sgn; 28 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_bool_intersectionof_class_002,axiom,
! [X11,X12,X13,X14,X15] :
( ( iext(uri_rdf_first,X12,X13)
& iext(uri_rdf_rest,X12,X14)
& iext(uri_rdf_first,X14,X15)
& iext(uri_rdf_rest,X14,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,X11,X12)
<=> ( ic(X11)
& ic(X13)
& ic(X15)
& ! [X4] :
( icext(X11,X4)
<=> ( icext(X13,X4)
& icext(X15,X4) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.IUokwfiyOH/E---3.1_29031.p',owl_bool_intersectionof_class_002) ).
fof(premise_rdfbased_sem_bool_intersection_ext,axiom,
? [X42,X37,X38] :
( iext(uri_rdf_first,X42,uri_ex_y)
& iext(uri_rdf_rest,X42,uri_rdf_nil)
& iext(uri_owl_intersectionOf,X37,X38)
& iext(uri_rdf_first,X38,uri_ex_x)
& iext(uri_rdf_rest,X38,X42)
& iext(uri_owl_equivalentClass,uri_ex_c,X37) ),
file('/export/starexec/sandbox/tmp/tmp.IUokwfiyOH/E---3.1_29031.p',premise_rdfbased_sem_bool_intersection_ext) ).
fof(conclusion_rdfbased_sem_bool_intersection_ext,conjecture,
? [X37,X42] :
( iext(uri_rdf_first,X42,uri_ex_x)
& iext(uri_rdf_rest,X42,X37)
& iext(uri_rdf_first,X37,uri_ex_y)
& iext(uri_rdf_rest,X37,uri_rdf_nil)
& iext(uri_owl_intersectionOf,uri_ex_c,X42) ),
file('/export/starexec/sandbox/tmp/tmp.IUokwfiyOH/E---3.1_29031.p',conclusion_rdfbased_sem_bool_intersection_ext) ).
fof(owl_eqdis_equivalentclass,axiom,
! [X13,X15] :
( iext(uri_owl_equivalentClass,X13,X15)
<=> ( ic(X13)
& ic(X15)
& ! [X4] :
( icext(X13,X4)
<=> icext(X15,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.IUokwfiyOH/E---3.1_29031.p',owl_eqdis_equivalentclass) ).
fof(owl_prop_equivalentclass_ext,axiom,
! [X4,X7] :
( iext(uri_owl_equivalentClass,X4,X7)
=> ( ic(X4)
& ic(X7) ) ),
file('/export/starexec/sandbox/tmp/tmp.IUokwfiyOH/E---3.1_29031.p',owl_prop_equivalentclass_ext) ).
fof(c_0_5,plain,
! [X61,X62,X63,X64,X65,X66,X67] :
( ( ic(X61)
| ~ iext(uri_owl_intersectionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( ic(X63)
| ~ iext(uri_owl_intersectionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( ic(X65)
| ~ iext(uri_owl_intersectionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( icext(X63,X66)
| ~ icext(X61,X66)
| ~ iext(uri_owl_intersectionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( icext(X65,X66)
| ~ icext(X61,X66)
| ~ iext(uri_owl_intersectionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( ~ icext(X63,X67)
| ~ icext(X65,X67)
| icext(X61,X67)
| ~ iext(uri_owl_intersectionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( ~ icext(X61,esk6_5(X61,X62,X63,X64,X65))
| ~ icext(X63,esk6_5(X61,X62,X63,X64,X65))
| ~ icext(X65,esk6_5(X61,X62,X63,X64,X65))
| ~ ic(X61)
| ~ ic(X63)
| ~ ic(X65)
| iext(uri_owl_intersectionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( icext(X63,esk6_5(X61,X62,X63,X64,X65))
| icext(X61,esk6_5(X61,X62,X63,X64,X65))
| ~ ic(X61)
| ~ ic(X63)
| ~ ic(X65)
| iext(uri_owl_intersectionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,uri_rdf_nil) )
& ( icext(X65,esk6_5(X61,X62,X63,X64,X65))
| icext(X61,esk6_5(X61,X62,X63,X64,X65))
| ~ ic(X61)
| ~ ic(X63)
| ~ ic(X65)
| iext(uri_owl_intersectionOf,X61,X62)
| ~ iext(uri_rdf_first,X62,X63)
| ~ iext(uri_rdf_rest,X62,X64)
| ~ iext(uri_rdf_first,X64,X65)
| ~ iext(uri_rdf_rest,X64,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_intersectionof_class_002])])])])])]) ).
fof(c_0_6,plain,
( iext(uri_rdf_first,esk1_0,uri_ex_y)
& iext(uri_rdf_rest,esk1_0,uri_rdf_nil)
& iext(uri_owl_intersectionOf,esk2_0,esk3_0)
& iext(uri_rdf_first,esk3_0,uri_ex_x)
& iext(uri_rdf_rest,esk3_0,esk1_0)
& iext(uri_owl_equivalentClass,uri_ex_c,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_bool_intersection_ext])]) ).
cnf(c_0_7,plain,
( ic(X1)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
iext(uri_rdf_rest,esk1_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( ic(X1)
| ~ iext(uri_rdf_first,esk1_0,X1)
| ~ iext(uri_rdf_rest,X2,esk1_0)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_owl_intersectionOf,X4,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
iext(uri_rdf_first,esk1_0,uri_ex_y),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,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_5]) ).
cnf(c_0_12,plain,
( ic(uri_ex_y)
| ~ iext(uri_rdf_rest,X1,esk1_0)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_intersectionOf,X3,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
iext(uri_rdf_rest,esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( ic(X1)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| ~ iext(uri_rdf_first,X3,X1)
| ~ iext(uri_rdf_rest,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk1_0,X1)
| ~ iext(uri_rdf_rest,X4,esk1_0)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_owl_intersectionOf,X3,X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_16,plain,
( ic(uri_ex_y)
| ~ iext(uri_rdf_first,esk3_0,X1)
| ~ iext(uri_owl_intersectionOf,X2,esk3_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
iext(uri_rdf_first,esk3_0,uri_ex_x),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,plain,
( ic(X1)
| ~ iext(uri_rdf_first,esk1_0,X2)
| ~ iext(uri_rdf_rest,X3,esk1_0)
| ~ iext(uri_rdf_first,X3,X1)
| ~ iext(uri_owl_intersectionOf,X4,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_19,plain,
( icext(uri_ex_y,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_rest,X3,esk1_0)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_intersectionOf,X2,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_20,plain,
( icext(X1,esk6_5(X2,X3,X4,X5,X1))
| icext(X2,esk6_5(X2,X3,X4,X5,X1))
| iext(uri_owl_intersectionOf,X2,X3)
| ~ ic(X2)
| ~ ic(X4)
| ~ ic(X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,plain,
( ic(uri_ex_y)
| ~ iext(uri_owl_intersectionOf,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
iext(uri_owl_intersectionOf,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,plain,
( ic(X1)
| ~ iext(uri_rdf_rest,X2,esk1_0)
| ~ iext(uri_rdf_first,X2,X1)
| ~ iext(uri_owl_intersectionOf,X3,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_10]) ).
fof(c_0_24,negated_conjecture,
~ ? [X37,X42] :
( iext(uri_rdf_first,X42,uri_ex_x)
& iext(uri_rdf_rest,X42,X37)
& iext(uri_rdf_first,X37,uri_ex_y)
& iext(uri_rdf_rest,X37,uri_rdf_nil)
& iext(uri_owl_intersectionOf,uri_ex_c,X42) ),
inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_bool_intersection_ext]) ).
cnf(c_0_25,plain,
( icext(uri_ex_y,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_first,esk3_0,X3)
| ~ iext(uri_owl_intersectionOf,X2,esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
fof(c_0_26,plain,
! [X96,X97,X98,X99,X100,X101] :
( ( ic(X96)
| ~ iext(uri_owl_equivalentClass,X96,X97) )
& ( ic(X97)
| ~ iext(uri_owl_equivalentClass,X96,X97) )
& ( ~ icext(X96,X98)
| icext(X97,X98)
| ~ iext(uri_owl_equivalentClass,X96,X97) )
& ( ~ icext(X97,X99)
| icext(X96,X99)
| ~ iext(uri_owl_equivalentClass,X96,X97) )
& ( ~ icext(X100,esk8_2(X100,X101))
| ~ icext(X101,esk8_2(X100,X101))
| ~ ic(X100)
| ~ ic(X101)
| iext(uri_owl_equivalentClass,X100,X101) )
& ( icext(X100,esk8_2(X100,X101))
| icext(X101,esk8_2(X100,X101))
| ~ ic(X100)
| ~ ic(X101)
| iext(uri_owl_equivalentClass,X100,X101) ) ),
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_27,plain,
( icext(X1,esk6_5(X2,X3,X4,esk1_0,X1))
| icext(X2,esk6_5(X2,X3,X4,esk1_0,X1))
| iext(uri_owl_intersectionOf,X2,X3)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X1)
| ~ iext(uri_rdf_first,esk1_0,X1)
| ~ iext(uri_rdf_rest,X3,esk1_0)
| ~ iext(uri_rdf_first,X3,X4) ),
inference(spm,[status(thm)],[c_0_20,c_0_8]) ).
cnf(c_0_28,plain,
ic(uri_ex_y),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( ic(X1)
| ~ iext(uri_rdf_first,esk3_0,X1)
| ~ iext(uri_owl_intersectionOf,X2,esk3_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_13]) ).
fof(c_0_30,negated_conjecture,
! [X43,X44] :
( ~ iext(uri_rdf_first,X44,uri_ex_x)
| ~ iext(uri_rdf_rest,X44,X43)
| ~ iext(uri_rdf_first,X43,uri_ex_y)
| ~ iext(uri_rdf_rest,X43,uri_rdf_nil)
| ~ iext(uri_owl_intersectionOf,uri_ex_c,X44) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
cnf(c_0_31,plain,
( icext(uri_ex_y,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_intersectionOf,X2,esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_17]) ).
cnf(c_0_32,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_equivalentClass,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
iext(uri_owl_equivalentClass,uri_ex_c,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_34,plain,
( icext(uri_ex_y,esk6_5(X1,X2,X3,esk1_0,uri_ex_y))
| icext(X1,esk6_5(X1,X2,X3,esk1_0,uri_ex_y))
| iext(uri_owl_intersectionOf,X1,X2)
| ~ ic(X3)
| ~ ic(X1)
| ~ iext(uri_rdf_rest,X2,esk1_0)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_10]),c_0_28])]) ).
cnf(c_0_35,plain,
( ic(uri_ex_x)
| ~ iext(uri_owl_intersectionOf,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_17]) ).
fof(c_0_36,plain,
! [X94,X95] :
( ( ic(X94)
| ~ iext(uri_owl_equivalentClass,X94,X95) )
& ( ic(X95)
| ~ iext(uri_owl_equivalentClass,X94,X95) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_equivalentclass_ext])])]) ).
cnf(c_0_37,negated_conjecture,
( ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X2,uri_ex_y)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_owl_intersectionOf,uri_ex_c,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,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_5]) ).
cnf(c_0_39,plain,
( icext(X4,X2)
| ~ icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,X4,X5)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_rdf_rest,X5,X6)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_40,plain,
( icext(uri_ex_y,X1)
| ~ icext(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_41,plain,
( icext(esk2_0,X1)
| ~ icext(uri_ex_c,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_42,plain,
( icext(uri_ex_y,esk6_5(X1,esk3_0,X2,esk1_0,uri_ex_y))
| icext(X1,esk6_5(X1,esk3_0,X2,esk1_0,uri_ex_y))
| iext(uri_owl_intersectionOf,X1,esk3_0)
| ~ ic(X2)
| ~ ic(X1)
| ~ iext(uri_rdf_first,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_13]) ).
cnf(c_0_43,plain,
ic(uri_ex_x),
inference(spm,[status(thm)],[c_0_35,c_0_22]) ).
cnf(c_0_44,plain,
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,negated_conjecture,
( ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_owl_intersectionOf,uri_ex_c,X1)
| ~ iext(uri_rdf_rest,X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_10]),c_0_8])]) ).
cnf(c_0_46,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk1_0,X4)
| ~ iext(uri_rdf_rest,X5,esk1_0)
| ~ iext(uri_rdf_first,X5,X1)
| ~ iext(uri_owl_intersectionOf,X3,X5) ),
inference(spm,[status(thm)],[c_0_38,c_0_8]) ).
cnf(c_0_47,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ icext(X4,X2)
| ~ iext(uri_rdf_first,esk1_0,X3)
| ~ iext(uri_rdf_rest,X5,esk1_0)
| ~ iext(uri_rdf_first,X5,X4)
| ~ iext(uri_owl_intersectionOf,X1,X5) ),
inference(spm,[status(thm)],[c_0_39,c_0_8]) ).
cnf(c_0_48,plain,
( icext(uri_ex_y,X1)
| ~ icext(uri_ex_c,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,plain,
( icext(uri_ex_y,esk6_5(X1,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| icext(X1,esk6_5(X1,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| iext(uri_owl_intersectionOf,X1,esk3_0)
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_17]),c_0_43])]) ).
cnf(c_0_50,plain,
ic(uri_ex_c),
inference(spm,[status(thm)],[c_0_44,c_0_33]) ).
cnf(c_0_51,negated_conjecture,
~ iext(uri_owl_intersectionOf,uri_ex_c,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_17]),c_0_13])]) ).
cnf(c_0_52,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk1_0)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_owl_intersectionOf,X3,X4) ),
inference(spm,[status(thm)],[c_0_46,c_0_10]) ).
cnf(c_0_53,plain,
( icext(X1,esk6_5(X2,X3,X1,X4,X5))
| icext(X2,esk6_5(X2,X3,X1,X4,X5))
| iext(uri_owl_intersectionOf,X2,X3)
| ~ ic(X2)
| ~ ic(X1)
| ~ ic(X5)
| ~ iext(uri_rdf_first,X3,X1)
| ~ iext(uri_rdf_rest,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_54,plain,
( icext(X1,X2)
| ~ icext(uri_ex_y,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk1_0)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_owl_intersectionOf,X1,X4) ),
inference(spm,[status(thm)],[c_0_47,c_0_10]) ).
cnf(c_0_55,plain,
icext(uri_ex_y,esk6_5(uri_ex_c,esk3_0,uri_ex_x,esk1_0,uri_ex_y)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]),c_0_51]) ).
cnf(c_0_56,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk3_0,X1)
| ~ iext(uri_owl_intersectionOf,X3,esk3_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_13]) ).
cnf(c_0_57,plain,
( icext(X1,esk6_5(X2,X3,X1,esk1_0,X4))
| icext(X2,esk6_5(X2,X3,X1,esk1_0,X4))
| iext(uri_owl_intersectionOf,X2,X3)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X1)
| ~ iext(uri_rdf_first,esk1_0,X4)
| ~ iext(uri_rdf_rest,X3,esk1_0)
| ~ iext(uri_rdf_first,X3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_8]) ).
cnf(c_0_58,plain,
( iext(uri_owl_intersectionOf,X1,X2)
| ~ icext(X1,esk6_5(X1,X2,X3,X4,X5))
| ~ icext(X3,esk6_5(X1,X2,X3,X4,X5))
| ~ icext(X5,esk6_5(X1,X2,X3,X4,X5))
| ~ ic(X1)
| ~ ic(X3)
| ~ ic(X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_59,plain,
( icext(X1,esk6_5(uri_ex_c,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| ~ icext(X2,esk6_5(uri_ex_c,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| ~ iext(uri_rdf_rest,X3,esk1_0)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_owl_intersectionOf,X1,X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,plain,
( icext(uri_ex_x,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_intersectionOf,X2,esk3_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_17]) ).
cnf(c_0_61,plain,
( icext(X1,esk6_5(X1,X2,X3,esk1_0,uri_ex_y))
| icext(X3,esk6_5(X1,X2,X3,esk1_0,uri_ex_y))
| iext(uri_owl_intersectionOf,X1,X2)
| ~ ic(X1)
| ~ ic(X3)
| ~ iext(uri_rdf_rest,X2,esk1_0)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_10]),c_0_28])]) ).
cnf(c_0_62,plain,
( iext(uri_owl_intersectionOf,X1,X2)
| ~ ic(X3)
| ~ ic(X4)
| ~ ic(X1)
| ~ icext(X3,esk6_5(X1,X2,X4,esk1_0,X3))
| ~ icext(X4,esk6_5(X1,X2,X4,esk1_0,X3))
| ~ icext(X1,esk6_5(X1,X2,X4,esk1_0,X3))
| ~ iext(uri_rdf_first,esk1_0,X3)
| ~ iext(uri_rdf_rest,X2,esk1_0)
| ~ iext(uri_rdf_first,X2,X4) ),
inference(spm,[status(thm)],[c_0_58,c_0_8]) ).
cnf(c_0_63,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_equivalentClass,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_64,plain,
( icext(X1,esk6_5(uri_ex_c,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| ~ icext(X2,esk6_5(uri_ex_c,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| ~ iext(uri_rdf_first,esk3_0,X2)
| ~ iext(uri_owl_intersectionOf,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_13]) ).
cnf(c_0_65,plain,
( icext(uri_ex_x,X1)
| ~ icext(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_22]) ).
cnf(c_0_66,plain,
( icext(X1,esk6_5(X2,esk3_0,X1,esk1_0,uri_ex_y))
| icext(X2,esk6_5(X2,esk3_0,X1,esk1_0,uri_ex_y))
| iext(uri_owl_intersectionOf,X2,esk3_0)
| ~ ic(X2)
| ~ ic(X1)
| ~ iext(uri_rdf_first,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_13]) ).
cnf(c_0_67,plain,
( iext(uri_owl_intersectionOf,X1,X2)
| ~ ic(X3)
| ~ ic(X1)
| ~ icext(uri_ex_y,esk6_5(X1,X2,X3,esk1_0,uri_ex_y))
| ~ icext(X3,esk6_5(X1,X2,X3,esk1_0,uri_ex_y))
| ~ icext(X1,esk6_5(X1,X2,X3,esk1_0,uri_ex_y))
| ~ iext(uri_rdf_rest,X2,esk1_0)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_10]),c_0_28])]) ).
cnf(c_0_68,plain,
( icext(uri_ex_c,X1)
| ~ icext(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_33]) ).
cnf(c_0_69,plain,
( icext(X1,esk6_5(uri_ex_c,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| ~ icext(uri_ex_x,esk6_5(uri_ex_c,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| ~ iext(uri_owl_intersectionOf,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_17]) ).
cnf(c_0_70,plain,
( icext(uri_ex_x,X1)
| ~ icext(uri_ex_c,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_41]) ).
cnf(c_0_71,plain,
( icext(uri_ex_x,esk6_5(X1,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| icext(X1,esk6_5(X1,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| iext(uri_owl_intersectionOf,X1,esk3_0)
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_17]),c_0_43])]) ).
cnf(c_0_72,plain,
( iext(uri_owl_intersectionOf,X1,esk3_0)
| ~ ic(X2)
| ~ ic(X1)
| ~ icext(uri_ex_y,esk6_5(X1,esk3_0,X2,esk1_0,uri_ex_y))
| ~ icext(X2,esk6_5(X1,esk3_0,X2,esk1_0,uri_ex_y))
| ~ icext(X1,esk6_5(X1,esk3_0,X2,esk1_0,uri_ex_y))
| ~ iext(uri_rdf_first,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_13]) ).
cnf(c_0_73,plain,
( icext(uri_ex_c,esk6_5(uri_ex_c,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| ~ icext(uri_ex_x,esk6_5(uri_ex_c,esk3_0,uri_ex_x,esk1_0,uri_ex_y)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_22])]) ).
cnf(c_0_74,plain,
icext(uri_ex_x,esk6_5(uri_ex_c,esk3_0,uri_ex_x,esk1_0,uri_ex_y)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_50])]),c_0_51]) ).
cnf(c_0_75,plain,
( iext(uri_owl_intersectionOf,X1,esk3_0)
| ~ ic(X1)
| ~ icext(uri_ex_y,esk6_5(X1,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| ~ icext(uri_ex_x,esk6_5(X1,esk3_0,uri_ex_x,esk1_0,uri_ex_y))
| ~ icext(X1,esk6_5(X1,esk3_0,uri_ex_x,esk1_0,uri_ex_y)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_17]),c_0_43])]) ).
cnf(c_0_76,plain,
icext(uri_ex_c,esk6_5(uri_ex_c,esk3_0,uri_ex_x,esk1_0,uri_ex_y)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_77,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_50]),c_0_55]),c_0_74])]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWB039+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.15/0.34 % Computer : n031.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 2400
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon Oct 2 20:52:13 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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.IUokwfiyOH/E---3.1_29031.p
% 109.87/14.34 # Version: 3.1pre001
% 109.87/14.34 # Preprocessing class: FSLMSMSLSSSNFFN.
% 109.87/14.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.87/14.34 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 109.87/14.34 # Starting new_bool_3 with 600s (2) cores
% 109.87/14.34 # Starting new_bool_1 with 600s (2) cores
% 109.87/14.34 # Starting sh5l with 300s (1) cores
% 109.87/14.34 # new_bool_1 with pid 29111 completed with status 0
% 109.87/14.34 # Result found by new_bool_1
% 109.87/14.34 # Preprocessing class: FSLMSMSLSSSNFFN.
% 109.87/14.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.87/14.34 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 109.87/14.34 # Starting new_bool_3 with 600s (2) cores
% 109.87/14.34 # Starting new_bool_1 with 600s (2) cores
% 109.87/14.34 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 109.87/14.34 # Search class: FGHSF-FSLM33-SFFFFFNN
% 109.87/14.34 # Scheduled 10 strats onto 2 cores with 600 seconds (600 total)
% 109.87/14.34 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 109s (1) cores
% 109.87/14.34 # Starting new_bool_1 with 61s (1) cores
% 109.87/14.34 # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with pid 29113 completed with status 0
% 109.87/14.34 # Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 109.87/14.34 # Preprocessing class: FSLMSMSLSSSNFFN.
% 109.87/14.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.87/14.34 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 109.87/14.34 # Starting new_bool_3 with 600s (2) cores
% 109.87/14.34 # Starting new_bool_1 with 600s (2) cores
% 109.87/14.34 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 109.87/14.34 # Search class: FGHSF-FSLM33-SFFFFFNN
% 109.87/14.34 # Scheduled 10 strats onto 2 cores with 600 seconds (600 total)
% 109.87/14.34 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 109s (1) cores
% 109.87/14.34 # Preprocessing time : 0.005 s
% 109.87/14.34 # Presaturation interreduction done
% 109.87/14.34
% 109.87/14.34 # Proof found!
% 109.87/14.34 # SZS status Theorem
% 109.87/14.34 # SZS output start CNFRefutation
% See solution above
% 109.87/14.34 # Parsed axioms : 560
% 109.87/14.34 # Removed by relevancy pruning/SinE : 487
% 109.87/14.34 # Initial clauses : 181
% 109.87/14.34 # Removed in clause preprocessing : 0
% 109.87/14.34 # Initial clauses in saturation : 181
% 109.87/14.34 # Processed clauses : 73565
% 109.87/14.34 # ...of these trivial : 157
% 109.87/14.34 # ...subsumed : 65897
% 109.87/14.34 # ...remaining for further processing : 7511
% 109.87/14.34 # Other redundant clauses eliminated : 10
% 109.87/14.34 # Clauses deleted for lack of memory : 0
% 109.87/14.34 # Backward-subsumed : 1366
% 109.87/14.34 # Backward-rewritten : 59
% 109.87/14.34 # Generated clauses : 96936
% 109.87/14.34 # ...of the previous two non-redundant : 88557
% 109.87/14.34 # ...aggressively subsumed : 0
% 109.87/14.34 # Contextual simplify-reflections : 1420
% 109.87/14.34 # Paramodulations : 96808
% 109.87/14.34 # Factorizations : 104
% 109.87/14.34 # NegExts : 0
% 109.87/14.34 # Equation resolutions : 10
% 109.87/14.34 # Total rewrite steps : 23746
% 109.87/14.34 # Propositional unsat checks : 0
% 109.87/14.34 # Propositional check models : 0
% 109.87/14.34 # Propositional check unsatisfiable : 0
% 109.87/14.34 # Propositional clauses : 0
% 109.87/14.34 # Propositional clauses after purity: 0
% 109.87/14.34 # Propositional unsat core size : 0
% 109.87/14.34 # Propositional preprocessing time : 0.000
% 109.87/14.34 # Propositional encoding time : 0.000
% 109.87/14.34 # Propositional solver time : 0.000
% 109.87/14.34 # Success case prop preproc time : 0.000
% 109.87/14.34 # Success case prop encoding time : 0.000
% 109.87/14.34 # Success case prop solver time : 0.000
% 109.87/14.34 # Current number of processed clauses : 5921
% 109.87/14.34 # Positive orientable unit clauses : 75
% 109.87/14.34 # Positive unorientable unit clauses: 0
% 109.87/14.34 # Negative unit clauses : 4
% 109.87/14.34 # Non-unit-clauses : 5842
% 109.87/14.34 # Current number of unprocessed clauses: 9611
% 109.87/14.34 # ...number of literals in the above : 81075
% 109.87/14.34 # Current number of archived formulas : 0
% 109.87/14.34 # Current number of archived clauses : 1575
% 109.87/14.34 # Clause-clause subsumption calls (NU) : 25213272
% 109.87/14.34 # Rec. Clause-clause subsumption calls : 970401
% 109.87/14.34 # Non-unit clause-clause subsumptions : 68645
% 109.87/14.34 # Unit Clause-clause subsumption calls : 5571
% 109.87/14.34 # Rewrite failures with RHS unbound : 0
% 109.87/14.34 # BW rewrite match attempts : 58
% 109.87/14.34 # BW rewrite match successes : 15
% 109.87/14.34 # Condensation attempts : 0
% 109.87/14.34 # Condensation successes : 0
% 109.87/14.34 # Termbank termtop insertions : 2074520
% 109.87/14.34
% 109.87/14.34 # -------------------------------------------------
% 109.87/14.34 # User time : 13.702 s
% 109.87/14.34 # System time : 0.047 s
% 109.87/14.34 # Total time : 13.749 s
% 109.87/14.34 # Maximum resident set size: 3084 pages
% 109.87/14.34
% 109.87/14.34 # -------------------------------------------------
% 109.87/14.34 # User time : 27.455 s
% 109.87/14.34 # System time : 0.049 s
% 109.87/14.34 # Total time : 27.504 s
% 109.87/14.34 # Maximum resident set size: 2232 pages
% 109.87/14.34 % E---3.1 exiting
% 109.87/14.34 % E---3.1 exiting
%------------------------------------------------------------------------------