TSTP Solution File: SWB041+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWB041+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 19:02:08 EDT 2022
% Result : Theorem 0.28s 1.45s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 69 ( 15 unt; 0 def)
% Number of atoms : 367 ( 0 equ)
% Maximal formula atoms : 71 ( 5 avg)
% Number of connectives : 526 ( 228 ~; 251 |; 41 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 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 : 166 ( 27 sgn 28 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_bool_unionof_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_unionOf,X11,X12)
<=> ( ic(X11)
& ic(X13)
& ic(X15)
& ! [X4] :
( icext(X11,X4)
<=> ( icext(X13,X4)
| icext(X15,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_bool_unionof_class_002) ).
fof(premise_rdfbased_sem_bool_union_ext,axiom,
? [X38,X37,X42] :
( iext(uri_owl_unionOf,X42,X37)
& iext(uri_rdf_first,X37,uri_ex_x)
& iext(uri_rdf_rest,X37,X38)
& iext(uri_rdf_first,X38,uri_ex_y)
& iext(uri_rdf_rest,X38,uri_rdf_nil)
& iext(uri_owl_equivalentClass,uri_ex_c,X42) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',premise_rdfbased_sem_bool_union_ext) ).
fof(conclusion_rdfbased_sem_bool_union_ext,conjecture,
? [X42,X37] :
( 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_unionOf,uri_ex_c,X42) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conclusion_rdfbased_sem_bool_union_ext) ).
fof(owl_prop_equivalentclass_ext,axiom,
! [X4,X7] :
( iext(uri_owl_equivalentClass,X4,X7)
=> ( ic(X4)
& ic(X7) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_equivalentclass_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/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_equivalentclass) ).
fof(c_0_5,plain,
! [X16,X17,X18,X19,X20,X21,X21] :
( ( ic(X16)
| ~ iext(uri_owl_unionOf,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ic(X18)
| ~ iext(uri_owl_unionOf,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ic(X20)
| ~ iext(uri_owl_unionOf,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ~ icext(X16,X21)
| icext(X18,X21)
| icext(X20,X21)
| ~ iext(uri_owl_unionOf,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ~ icext(X18,X21)
| icext(X16,X21)
| ~ iext(uri_owl_unionOf,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ~ icext(X20,X21)
| icext(X16,X21)
| ~ iext(uri_owl_unionOf,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ~ icext(X18,esk6_5(X16,X17,X18,X19,X20))
| ~ icext(X16,esk6_5(X16,X17,X18,X19,X20))
| ~ ic(X16)
| ~ ic(X18)
| ~ ic(X20)
| iext(uri_owl_unionOf,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ~ icext(X20,esk6_5(X16,X17,X18,X19,X20))
| ~ icext(X16,esk6_5(X16,X17,X18,X19,X20))
| ~ ic(X16)
| ~ ic(X18)
| ~ ic(X20)
| iext(uri_owl_unionOf,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( icext(X16,esk6_5(X16,X17,X18,X19,X20))
| icext(X18,esk6_5(X16,X17,X18,X19,X20))
| icext(X20,esk6_5(X16,X17,X18,X19,X20))
| ~ ic(X16)
| ~ ic(X18)
| ~ ic(X20)
| iext(uri_owl_unionOf,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_bool_unionof_class_002])])])])])])]) ).
fof(c_0_6,plain,
( iext(uri_owl_unionOf,esk3_0,esk2_0)
& iext(uri_rdf_first,esk2_0,uri_ex_x)
& iext(uri_rdf_rest,esk2_0,esk1_0)
& iext(uri_rdf_first,esk1_0,uri_ex_y)
& iext(uri_rdf_rest,esk1_0,uri_rdf_nil)
& iext(uri_owl_equivalentClass,uri_ex_c,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_bool_union_ext])]) ).
cnf(c_0_7,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_owl_unionOf,X5,X3) ),
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_unionOf,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,
( ic(uri_ex_y)
| ~ iext(uri_rdf_rest,X1,esk1_0)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_unionOf,X3,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
iext(uri_rdf_rest,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( ic(X4)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_unionOf,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( ic(uri_ex_y)
| ~ iext(uri_rdf_first,esk2_0,X1)
| ~ iext(uri_owl_unionOf,X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
iext(uri_rdf_first,esk2_0,uri_ex_x),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,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_unionOf,X4,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_17,plain,
( iext(uri_owl_unionOf,X5,X3)
| icext(X2,esk6_5(X5,X3,X4,X1,X2))
| icext(X4,esk6_5(X5,X3,X4,X1,X2))
| icext(X5,esk6_5(X5,X3,X4,X1,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)
| ~ ic(X2)
| ~ ic(X4)
| ~ ic(X5) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
( ic(uri_ex_y)
| ~ iext(uri_owl_unionOf,X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
iext(uri_owl_unionOf,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
( ic(X1)
| ~ iext(uri_rdf_rest,X2,esk1_0)
| ~ iext(uri_rdf_first,X2,X1)
| ~ iext(uri_owl_unionOf,X3,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_10]) ).
fof(c_0_21,negated_conjecture,
~ ? [X42,X37] :
( 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_unionOf,uri_ex_c,X42) ),
inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_bool_union_ext]) ).
cnf(c_0_22,plain,
( icext(X5,X6)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_unionOf,X5,X3)
| ~ icext(X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,plain,
( icext(X5,X6)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_unionOf,X5,X3)
| ~ icext(X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,plain,
( icext(X1,esk6_5(X1,X2,X3,esk1_0,X4))
| icext(X3,esk6_5(X1,X2,X3,esk1_0,X4))
| icext(X4,esk6_5(X1,X2,X3,esk1_0,X4))
| iext(uri_owl_unionOf,X1,X2)
| ~ ic(X1)
| ~ ic(X3)
| ~ ic(X4)
| ~ iext(uri_rdf_first,esk1_0,X4)
| ~ iext(uri_rdf_rest,X2,esk1_0)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_8]) ).
cnf(c_0_25,plain,
ic(uri_ex_y),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
( ic(X1)
| ~ iext(uri_rdf_first,esk2_0,X1)
| ~ iext(uri_owl_unionOf,X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
fof(c_0_27,negated_conjecture,
! [X43,X44] :
( ~ iext(uri_rdf_first,X43,uri_ex_x)
| ~ iext(uri_rdf_rest,X43,X44)
| ~ iext(uri_rdf_first,X44,uri_ex_y)
| ~ iext(uri_rdf_rest,X44,uri_rdf_nil)
| ~ iext(uri_owl_unionOf,uri_ex_c,X43) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
cnf(c_0_28,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,X3)
| ~ iext(uri_owl_unionOf,X1,X5) ),
inference(spm,[status(thm)],[c_0_22,c_0_8]) ).
cnf(c_0_29,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk1_0,X3)
| ~ iext(uri_rdf_rest,X4,esk1_0)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_owl_unionOf,X1,X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_8]) ).
cnf(c_0_30,plain,
( 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_owl_unionOf,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_24,c_0_10]),c_0_25])]) ).
cnf(c_0_31,plain,
( ic(uri_ex_x)
| ~ iext(uri_owl_unionOf,X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_15]) ).
fof(c_0_32,plain,
! [X8,X9] :
( ( ic(X8)
| ~ iext(uri_owl_equivalentClass,X8,X9) )
& ( ic(X9)
| ~ iext(uri_owl_equivalentClass,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_equivalentclass_ext])])]) ).
cnf(c_0_33,negated_conjecture,
( ~ iext(uri_owl_unionOf,uri_ex_c,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X1,uri_ex_x) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk1_0)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_owl_unionOf,X1,X4) ),
inference(spm,[status(thm)],[c_0_28,c_0_10]) ).
cnf(c_0_35,plain,
( icext(X1,X2)
| ~ icext(uri_ex_y,X2)
| ~ iext(uri_rdf_rest,X3,esk1_0)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_unionOf,X1,X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_10]) ).
cnf(c_0_36,plain,
( icext(X2,X6)
| icext(X4,X6)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_unionOf,X5,X3)
| ~ icext(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_37,plain,
! [X16,X17,X18,X18,X16,X17] :
( ( ic(X16)
| ~ iext(uri_owl_equivalentClass,X16,X17) )
& ( ic(X17)
| ~ iext(uri_owl_equivalentClass,X16,X17) )
& ( ~ icext(X16,X18)
| icext(X17,X18)
| ~ iext(uri_owl_equivalentClass,X16,X17) )
& ( ~ icext(X17,X18)
| icext(X16,X18)
| ~ iext(uri_owl_equivalentClass,X16,X17) )
& ( ~ icext(X16,esk8_2(X16,X17))
| ~ icext(X17,esk8_2(X16,X17))
| ~ ic(X16)
| ~ ic(X17)
| iext(uri_owl_equivalentClass,X16,X17) )
& ( icext(X16,esk8_2(X16,X17))
| icext(X17,esk8_2(X16,X17))
| ~ ic(X16)
| ~ ic(X17)
| iext(uri_owl_equivalentClass,X16,X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_equivalentclass])])])])])])]) ).
cnf(c_0_38,plain,
( icext(uri_ex_y,esk6_5(X1,esk2_0,X2,esk1_0,uri_ex_y))
| icext(X1,esk6_5(X1,esk2_0,X2,esk1_0,uri_ex_y))
| icext(X2,esk6_5(X1,esk2_0,X2,esk1_0,uri_ex_y))
| iext(uri_owl_unionOf,X1,esk2_0)
| ~ ic(X1)
| ~ ic(X2)
| ~ iext(uri_rdf_first,esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_12]) ).
cnf(c_0_39,plain,
ic(uri_ex_x),
inference(spm,[status(thm)],[c_0_31,c_0_19]) ).
cnf(c_0_40,plain,
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
iext(uri_owl_equivalentClass,uri_ex_c,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_42,negated_conjecture,
( ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_owl_unionOf,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_33,c_0_10]),c_0_8])]) ).
cnf(c_0_43,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk2_0,X3)
| ~ iext(uri_owl_unionOf,X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_12]) ).
cnf(c_0_44,plain,
( icext(X1,X2)
| ~ icext(uri_ex_y,X2)
| ~ iext(uri_rdf_first,esk2_0,X3)
| ~ iext(uri_owl_unionOf,X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_12]) ).
cnf(c_0_45,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,X1)
| ~ iext(uri_owl_unionOf,X4,X5) ),
inference(spm,[status(thm)],[c_0_36,c_0_8]) ).
cnf(c_0_46,plain,
( icext(X2,X3)
| ~ iext(uri_owl_equivalentClass,X1,X2)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,plain,
( icext(uri_ex_x,esk6_5(X1,esk2_0,uri_ex_x,esk1_0,uri_ex_y))
| icext(uri_ex_y,esk6_5(X1,esk2_0,uri_ex_x,esk1_0,uri_ex_y))
| icext(X1,esk6_5(X1,esk2_0,uri_ex_x,esk1_0,uri_ex_y))
| iext(uri_owl_unionOf,X1,esk2_0)
| ~ ic(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_15]),c_0_39])]) ).
cnf(c_0_48,plain,
ic(uri_ex_c),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,negated_conjecture,
~ iext(uri_owl_unionOf,uri_ex_c,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_15]),c_0_12])]) ).
cnf(c_0_50,plain,
( icext(X1,X2)
| ~ icext(uri_ex_x,X2)
| ~ iext(uri_owl_unionOf,X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_15]) ).
cnf(c_0_51,plain,
( icext(X1,X2)
| ~ icext(uri_ex_y,X2)
| ~ iext(uri_owl_unionOf,X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_15]) ).
cnf(c_0_52,plain,
( icext(uri_ex_y,X1)
| icext(X2,X1)
| ~ icext(X3,X1)
| ~ iext(uri_rdf_rest,X4,esk1_0)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_owl_unionOf,X3,X4) ),
inference(spm,[status(thm)],[c_0_45,c_0_10]) ).
cnf(c_0_53,plain,
( icext(X1,X3)
| ~ iext(uri_owl_equivalentClass,X1,X2)
| ~ icext(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_54,plain,
( icext(esk3_0,X1)
| ~ icext(uri_ex_c,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_41]) ).
cnf(c_0_55,plain,
( icext(uri_ex_c,esk6_5(uri_ex_c,esk2_0,uri_ex_x,esk1_0,uri_ex_y))
| icext(uri_ex_y,esk6_5(uri_ex_c,esk2_0,uri_ex_x,esk1_0,uri_ex_y))
| icext(uri_ex_x,esk6_5(uri_ex_c,esk2_0,uri_ex_x,esk1_0,uri_ex_y)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_56,plain,
( icext(esk3_0,X1)
| ~ icext(uri_ex_x,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_19]) ).
cnf(c_0_57,plain,
( icext(esk3_0,X1)
| ~ icext(uri_ex_y,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_19]) ).
cnf(c_0_58,plain,
( icext(uri_ex_y,X1)
| icext(X2,X1)
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk2_0,X2)
| ~ iext(uri_owl_unionOf,X3,esk2_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_12]) ).
cnf(c_0_59,plain,
( icext(uri_ex_c,X1)
| ~ icext(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_41]) ).
cnf(c_0_60,plain,
icext(esk3_0,esk6_5(uri_ex_c,esk2_0,uri_ex_x,esk1_0,uri_ex_y)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57]) ).
cnf(c_0_61,plain,
( icext(uri_ex_x,X1)
| icext(uri_ex_y,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_unionOf,X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_15]) ).
cnf(c_0_62,plain,
( iext(uri_owl_unionOf,X5,X3)
| ~ 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)
| ~ ic(X2)
| ~ ic(X4)
| ~ ic(X5)
| ~ icext(X5,esk6_5(X5,X3,X4,X1,X2))
| ~ icext(X2,esk6_5(X5,X3,X4,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_63,plain,
icext(uri_ex_c,esk6_5(uri_ex_c,esk2_0,uri_ex_x,esk1_0,uri_ex_y)),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,plain,
( iext(uri_owl_unionOf,X5,X3)
| ~ 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)
| ~ ic(X2)
| ~ ic(X4)
| ~ ic(X5)
| ~ icext(X5,esk6_5(X5,X3,X4,X1,X2))
| ~ icext(X4,esk6_5(X5,X3,X4,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_65,plain,
( icext(uri_ex_y,X1)
| icext(uri_ex_x,X1)
| ~ icext(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_19]) ).
cnf(c_0_66,plain,
~ icext(uri_ex_y,esk6_5(uri_ex_c,esk2_0,uri_ex_x,esk1_0,uri_ex_y)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_48]),c_0_39]),c_0_25]),c_0_8]),c_0_15]),c_0_10]),c_0_12])]),c_0_49]) ).
cnf(c_0_67,plain,
~ icext(uri_ex_x,esk6_5(uri_ex_c,esk2_0,uri_ex_x,esk1_0,uri_ex_y)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_63]),c_0_48]),c_0_39]),c_0_25]),c_0_8]),c_0_15]),c_0_10]),c_0_12])]),c_0_49]) ).
cnf(c_0_68,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_60]),c_0_66]),c_0_67]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWB041+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n021.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 01:03:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.28/1.45 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.28/1.45 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.28/1.45 # Preprocessing time : 0.029 s
% 0.28/1.45
% 0.28/1.45 # Proof found!
% 0.28/1.45 # SZS status Theorem
% 0.28/1.45 # SZS output start CNFRefutation
% See solution above
% 0.28/1.45 # Proof object total steps : 69
% 0.28/1.45 # Proof object clause steps : 58
% 0.28/1.45 # Proof object formula steps : 11
% 0.28/1.45 # Proof object conjectures : 6
% 0.28/1.45 # Proof object clause conjectures : 3
% 0.28/1.45 # Proof object formula conjectures : 3
% 0.28/1.45 # Proof object initial clauses used : 18
% 0.28/1.45 # Proof object initial formulas used : 5
% 0.28/1.45 # Proof object generating inferences : 40
% 0.28/1.45 # Proof object simplifying inferences : 31
% 0.28/1.45 # Training examples: 0 positive, 0 negative
% 0.28/1.45 # Parsed axioms : 560
% 0.28/1.45 # Removed by relevancy pruning/SinE : 538
% 0.28/1.45 # Initial clauses : 61
% 0.28/1.45 # Removed in clause preprocessing : 0
% 0.28/1.45 # Initial clauses in saturation : 61
% 0.28/1.45 # Processed clauses : 350
% 0.28/1.45 # ...of these trivial : 4
% 0.28/1.45 # ...subsumed : 44
% 0.28/1.45 # ...remaining for further processing : 301
% 0.28/1.45 # Other redundant clauses eliminated : 0
% 0.28/1.45 # Clauses deleted for lack of memory : 0
% 0.28/1.45 # Backward-subsumed : 27
% 0.28/1.45 # Backward-rewritten : 12
% 0.28/1.45 # Generated clauses : 349
% 0.28/1.45 # ...of the previous two non-trivial : 307
% 0.28/1.45 # Contextual simplify-reflections : 51
% 0.28/1.45 # Paramodulations : 349
% 0.28/1.45 # Factorizations : 0
% 0.28/1.45 # Equation resolutions : 0
% 0.28/1.45 # Current number of processed clauses : 262
% 0.28/1.45 # Positive orientable unit clauses : 31
% 0.28/1.45 # Positive unorientable unit clauses: 0
% 0.28/1.45 # Negative unit clauses : 3
% 0.28/1.45 # Non-unit-clauses : 228
% 0.28/1.45 # Current number of unprocessed clauses: 1
% 0.28/1.45 # ...number of literals in the above : 3
% 0.28/1.45 # Current number of archived formulas : 0
% 0.28/1.45 # Current number of archived clauses : 39
% 0.28/1.45 # Clause-clause subsumption calls (NU) : 12391
% 0.28/1.45 # Rec. Clause-clause subsumption calls : 4458
% 0.28/1.45 # Non-unit clause-clause subsumptions : 121
% 0.28/1.45 # Unit Clause-clause subsumption calls : 422
% 0.28/1.45 # Rewrite failures with RHS unbound : 0
% 0.28/1.45 # BW rewrite match attempts : 14
% 0.28/1.45 # BW rewrite match successes : 9
% 0.28/1.45 # Condensation attempts : 0
% 0.28/1.45 # Condensation successes : 0
% 0.28/1.45 # Termbank termtop insertions : 19245
% 0.28/1.45
% 0.28/1.45 # -------------------------------------------------
% 0.28/1.45 # User time : 0.053 s
% 0.28/1.45 # System time : 0.005 s
% 0.28/1.45 # Total time : 0.058 s
% 0.28/1.45 # Maximum resident set size: 4620 pages
% 0.28/23.44 eprover: CPU time limit exceeded, terminating
% 0.28/23.44 eprover: CPU time limit exceeded, terminating
% 0.28/23.45 eprover: CPU time limit exceeded, terminating
% 0.28/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.45 eprover: No such file or directory
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------