TSTP Solution File: SWB055+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWB055+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 19:37:19 EDT 2023
% Result : Theorem 20.09s 3.01s
% Output : CNFRefutation 20.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 68 ( 13 unt; 0 def)
% Number of atoms : 348 ( 49 equ)
% Maximal formula atoms : 53 ( 5 avg)
% Number of connectives : 490 ( 210 ~; 237 |; 37 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-5 aty)
% Number of variables : 158 ( 9 sgn; 28 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_enum_class_002,axiom,
! [X11,X12,X21,X14,X22] :
( ( iext(uri_rdf_first,X12,X21)
& iext(uri_rdf_rest,X12,X14)
& iext(uri_rdf_first,X14,X22)
& iext(uri_rdf_rest,X14,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X11,X12)
<=> ( ic(X11)
& ! [X4] :
( icext(X11,X4)
<=> ( X4 = X21
| X4 = X22 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.AdJcLL8z0h/E---3.1_31792.p',owl_enum_class_002) ).
fof(premise_rdfbased_sem_enum_ext,axiom,
? [X42,X38,X37] :
( iext(uri_owl_oneOf,X42,X37)
& iext(uri_owl_equivalentClass,uri_ex_e,X42)
& 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) ),
file('/export/starexec/sandbox/tmp/tmp.AdJcLL8z0h/E---3.1_31792.p',premise_rdfbased_sem_enum_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.AdJcLL8z0h/E---3.1_31792.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.AdJcLL8z0h/E---3.1_31792.p',owl_prop_equivalentclass_ext) ).
fof(conclusion_rdfbased_sem_enum_ext,conjecture,
? [X42,X37] :
( iext(uri_rdf_first,X42,uri_ex_y)
& iext(uri_rdf_rest,X42,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_e,X37)
& iext(uri_rdf_first,X37,uri_ex_x)
& iext(uri_rdf_rest,X37,X42) ),
file('/export/starexec/sandbox/tmp/tmp.AdJcLL8z0h/E---3.1_31792.p',conclusion_rdfbased_sem_enum_ext) ).
fof(c_0_5,plain,
! [X60,X61,X62,X63,X64,X65,X66] :
( ( ic(X60)
| ~ iext(uri_owl_oneOf,X60,X61)
| ~ iext(uri_rdf_first,X61,X62)
| ~ iext(uri_rdf_rest,X61,X63)
| ~ iext(uri_rdf_first,X63,X64)
| ~ iext(uri_rdf_rest,X63,uri_rdf_nil) )
& ( ~ icext(X60,X65)
| X65 = X62
| X65 = X64
| ~ iext(uri_owl_oneOf,X60,X61)
| ~ iext(uri_rdf_first,X61,X62)
| ~ iext(uri_rdf_rest,X61,X63)
| ~ iext(uri_rdf_first,X63,X64)
| ~ iext(uri_rdf_rest,X63,uri_rdf_nil) )
& ( X66 != X62
| icext(X60,X66)
| ~ iext(uri_owl_oneOf,X60,X61)
| ~ iext(uri_rdf_first,X61,X62)
| ~ iext(uri_rdf_rest,X61,X63)
| ~ iext(uri_rdf_first,X63,X64)
| ~ iext(uri_rdf_rest,X63,uri_rdf_nil) )
& ( X66 != X64
| icext(X60,X66)
| ~ iext(uri_owl_oneOf,X60,X61)
| ~ iext(uri_rdf_first,X61,X62)
| ~ iext(uri_rdf_rest,X61,X63)
| ~ iext(uri_rdf_first,X63,X64)
| ~ iext(uri_rdf_rest,X63,uri_rdf_nil) )
& ( esk6_5(X60,X61,X62,X63,X64) != X62
| ~ icext(X60,esk6_5(X60,X61,X62,X63,X64))
| ~ ic(X60)
| iext(uri_owl_oneOf,X60,X61)
| ~ iext(uri_rdf_first,X61,X62)
| ~ iext(uri_rdf_rest,X61,X63)
| ~ iext(uri_rdf_first,X63,X64)
| ~ iext(uri_rdf_rest,X63,uri_rdf_nil) )
& ( esk6_5(X60,X61,X62,X63,X64) != X64
| ~ icext(X60,esk6_5(X60,X61,X62,X63,X64))
| ~ ic(X60)
| iext(uri_owl_oneOf,X60,X61)
| ~ iext(uri_rdf_first,X61,X62)
| ~ iext(uri_rdf_rest,X61,X63)
| ~ iext(uri_rdf_first,X63,X64)
| ~ iext(uri_rdf_rest,X63,uri_rdf_nil) )
& ( icext(X60,esk6_5(X60,X61,X62,X63,X64))
| esk6_5(X60,X61,X62,X63,X64) = X62
| esk6_5(X60,X61,X62,X63,X64) = X64
| ~ ic(X60)
| iext(uri_owl_oneOf,X60,X61)
| ~ iext(uri_rdf_first,X61,X62)
| ~ iext(uri_rdf_rest,X61,X63)
| ~ iext(uri_rdf_first,X63,X64)
| ~ iext(uri_rdf_rest,X63,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_6,plain,
( iext(uri_owl_oneOf,esk1_0,esk3_0)
& iext(uri_owl_equivalentClass,uri_ex_e,esk1_0)
& iext(uri_rdf_first,esk3_0,uri_ex_x)
& iext(uri_rdf_rest,esk3_0,esk2_0)
& iext(uri_rdf_first,esk2_0,uri_ex_y)
& iext(uri_rdf_rest,esk2_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_enum_ext])]) ).
cnf(c_0_7,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_5]) ).
cnf(c_0_8,plain,
iext(uri_rdf_rest,esk2_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,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_5]) ).
cnf(c_0_10,plain,
( X1 = X2
| X1 = X3
| ~ icext(X4,X1)
| ~ iext(uri_rdf_first,esk2_0,X3)
| ~ iext(uri_rdf_rest,X5,esk2_0)
| ~ iext(uri_rdf_first,X5,X2)
| ~ iext(uri_owl_oneOf,X4,X5) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
iext(uri_rdf_first,esk2_0,uri_ex_y),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_first,X5,X2)
| ~ iext(uri_rdf_rest,X5,X3)
| ~ iext(uri_owl_oneOf,X1,X5) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_13,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_5]) ).
cnf(c_0_14,plain,
( X1 = uri_ex_y
| X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_rest,X4,esk2_0)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_owl_oneOf,X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
iext(uri_rdf_rest,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,plain,
( icext(X1,esk6_5(X1,X2,X3,X4,X5))
| esk6_5(X1,X2,X3,X4,X5) = X3
| esk6_5(X1,X2,X3,X4,X5) = X5
| iext(uri_owl_oneOf,X1,X2)
| ~ ic(X1)
| ~ 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_17,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk2_0,X3)
| ~ iext(uri_rdf_rest,X4,esk2_0)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_owl_oneOf,X1,X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_18,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X3)
| ~ iext(uri_owl_oneOf,X1,X4) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( iext(uri_owl_oneOf,X1,X2)
| esk6_5(X1,X2,X3,X4,X5) != X3
| ~ icext(X1,esk6_5(X1,X2,X3,X4,X5))
| ~ ic(X1)
| ~ 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_20,plain,
( X1 = uri_ex_y
| X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk3_0,X2)
| ~ iext(uri_owl_oneOf,X3,esk3_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
iext(uri_rdf_first,esk3_0,uri_ex_x),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_22,plain,
! [X95,X96,X97,X98,X99,X100] :
( ( ic(X95)
| ~ iext(uri_owl_equivalentClass,X95,X96) )
& ( ic(X96)
| ~ iext(uri_owl_equivalentClass,X95,X96) )
& ( ~ icext(X95,X97)
| icext(X96,X97)
| ~ iext(uri_owl_equivalentClass,X95,X96) )
& ( ~ icext(X96,X98)
| icext(X95,X98)
| ~ iext(uri_owl_equivalentClass,X95,X96) )
& ( ~ icext(X99,esk8_2(X99,X100))
| ~ icext(X100,esk8_2(X99,X100))
| ~ ic(X99)
| ~ ic(X100)
| iext(uri_owl_equivalentClass,X99,X100) )
& ( icext(X99,esk8_2(X99,X100))
| icext(X100,esk8_2(X99,X100))
| ~ ic(X99)
| ~ ic(X100)
| iext(uri_owl_equivalentClass,X99,X100) ) ),
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_23,plain,
( esk6_5(X1,X2,X3,esk2_0,X4) = X3
| esk6_5(X1,X2,X3,esk2_0,X4) = X4
| icext(X1,esk6_5(X1,X2,X3,esk2_0,X4))
| iext(uri_owl_oneOf,X1,X2)
| ~ ic(X1)
| ~ iext(uri_rdf_first,esk2_0,X4)
| ~ iext(uri_rdf_rest,X2,esk2_0)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_8]) ).
cnf(c_0_24,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_rest,X3,esk2_0)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_owl_oneOf,X1,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_25,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk2_0,X2)
| ~ iext(uri_rdf_rest,X3,esk2_0)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_oneOf,X1,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_8]) ).
cnf(c_0_26,plain,
( iext(uri_owl_oneOf,X1,X2)
| esk6_5(X1,X2,X3,X4,X5) != X5
| ~ icext(X1,esk6_5(X1,X2,X3,X4,X5))
| ~ ic(X1)
| ~ 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_27,plain,
( iext(uri_owl_oneOf,X1,X2)
| esk6_5(X1,X2,X3,esk2_0,X4) != X3
| ~ ic(X1)
| ~ icext(X1,esk6_5(X1,X2,X3,esk2_0,X4))
| ~ iext(uri_rdf_first,esk2_0,X4)
| ~ iext(uri_rdf_rest,X2,esk2_0)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_8]) ).
cnf(c_0_28,plain,
( X1 = uri_ex_x
| X1 = uri_ex_y
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk3_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,plain,
iext(uri_owl_oneOf,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_30,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_equivalentClass,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
iext(uri_owl_equivalentClass,uri_ex_e,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,plain,
( esk6_5(X1,X2,X3,esk2_0,uri_ex_y) = uri_ex_y
| esk6_5(X1,X2,X3,esk2_0,uri_ex_y) = X3
| icext(X1,esk6_5(X1,X2,X3,esk2_0,uri_ex_y))
| iext(uri_owl_oneOf,X1,X2)
| ~ ic(X1)
| ~ iext(uri_rdf_rest,X2,esk2_0)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_11]) ).
fof(c_0_33,plain,
! [X93,X94] :
( ( ic(X93)
| ~ iext(uri_owl_equivalentClass,X93,X94) )
& ( ic(X94)
| ~ iext(uri_owl_equivalentClass,X93,X94) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_equivalentclass_ext])])]) ).
cnf(c_0_34,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_first,esk3_0,X2)
| ~ iext(uri_owl_oneOf,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_15]) ).
cnf(c_0_35,plain,
( icext(X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X2,esk2_0)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_owl_oneOf,X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_36,plain,
( iext(uri_owl_oneOf,X1,X2)
| esk6_5(X1,X2,X3,esk2_0,X4) != X4
| ~ ic(X1)
| ~ icext(X1,esk6_5(X1,X2,X3,esk2_0,X4))
| ~ iext(uri_rdf_first,esk2_0,X4)
| ~ iext(uri_rdf_rest,X2,esk2_0)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_8]) ).
cnf(c_0_37,plain,
( iext(uri_owl_oneOf,X1,X2)
| esk6_5(X1,X2,X3,esk2_0,uri_ex_y) != X3
| ~ ic(X1)
| ~ icext(X1,esk6_5(X1,X2,X3,esk2_0,uri_ex_y))
| ~ iext(uri_rdf_rest,X2,esk2_0)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_38,plain,
( X1 = uri_ex_y
| X1 = uri_ex_x
| ~ icext(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
( icext(esk1_0,X1)
| ~ icext(uri_ex_e,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,plain,
( esk6_5(X1,esk3_0,X2,esk2_0,uri_ex_y) = uri_ex_y
| esk6_5(X1,esk3_0,X2,esk2_0,uri_ex_y) = X2
| icext(X1,esk6_5(X1,esk3_0,X2,esk2_0,uri_ex_y))
| iext(uri_owl_oneOf,X1,esk3_0)
| ~ ic(X1)
| ~ iext(uri_rdf_first,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_41,plain,
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_equivalentClass,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_43,plain,
( icext(esk1_0,X1)
| ~ iext(uri_rdf_first,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_29]) ).
cnf(c_0_44,plain,
( icext(X1,uri_ex_y)
| ~ iext(uri_rdf_first,esk3_0,X2)
| ~ iext(uri_owl_oneOf,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_15]) ).
fof(c_0_45,negated_conjecture,
~ ? [X42,X37] :
( iext(uri_rdf_first,X42,uri_ex_y)
& iext(uri_rdf_rest,X42,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_e,X37)
& iext(uri_rdf_first,X37,uri_ex_x)
& iext(uri_rdf_rest,X37,X42) ),
inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_enum_ext]) ).
cnf(c_0_46,plain,
( iext(uri_owl_oneOf,X1,X2)
| esk6_5(X1,X2,X3,esk2_0,uri_ex_y) != uri_ex_y
| ~ ic(X1)
| ~ icext(X1,esk6_5(X1,X2,X3,esk2_0,uri_ex_y))
| ~ iext(uri_rdf_rest,X2,esk2_0)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_11]) ).
cnf(c_0_47,plain,
( iext(uri_owl_oneOf,X1,esk3_0)
| esk6_5(X1,esk3_0,X2,esk2_0,uri_ex_y) != X2
| ~ ic(X1)
| ~ icext(X1,esk6_5(X1,esk3_0,X2,esk2_0,uri_ex_y))
| ~ iext(uri_rdf_first,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_15]) ).
cnf(c_0_48,plain,
( X1 = uri_ex_x
| X1 = uri_ex_y
| ~ icext(uri_ex_e,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_49,plain,
( esk6_5(X1,esk3_0,uri_ex_x,esk2_0,uri_ex_y) = uri_ex_x
| esk6_5(X1,esk3_0,uri_ex_x,esk2_0,uri_ex_y) = uri_ex_y
| icext(X1,esk6_5(X1,esk3_0,uri_ex_x,esk2_0,uri_ex_y))
| iext(uri_owl_oneOf,X1,esk3_0)
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_21]) ).
cnf(c_0_50,plain,
ic(uri_ex_e),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_51,plain,
( icext(uri_ex_e,X1)
| ~ icext(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_31]) ).
cnf(c_0_52,plain,
icext(esk1_0,uri_ex_x),
inference(spm,[status(thm)],[c_0_43,c_0_21]) ).
cnf(c_0_53,plain,
( icext(X1,uri_ex_y)
| ~ iext(uri_owl_oneOf,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_21]) ).
fof(c_0_54,negated_conjecture,
! [X43,X44] :
( ~ iext(uri_rdf_first,X43,uri_ex_y)
| ~ iext(uri_rdf_rest,X43,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,uri_ex_e,X44)
| ~ iext(uri_rdf_first,X44,uri_ex_x)
| ~ iext(uri_rdf_rest,X44,X43) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
cnf(c_0_55,plain,
( iext(uri_owl_oneOf,X1,esk3_0)
| esk6_5(X1,esk3_0,X2,esk2_0,uri_ex_y) != uri_ex_y
| ~ ic(X1)
| ~ icext(X1,esk6_5(X1,esk3_0,X2,esk2_0,uri_ex_y))
| ~ iext(uri_rdf_first,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_15]) ).
cnf(c_0_56,plain,
( iext(uri_owl_oneOf,X1,esk3_0)
| esk6_5(X1,esk3_0,uri_ex_x,esk2_0,uri_ex_y) != uri_ex_x
| ~ ic(X1)
| ~ icext(X1,esk6_5(X1,esk3_0,uri_ex_x,esk2_0,uri_ex_y)) ),
inference(spm,[status(thm)],[c_0_47,c_0_21]) ).
cnf(c_0_57,plain,
( esk6_5(uri_ex_e,esk3_0,uri_ex_x,esk2_0,uri_ex_y) = uri_ex_y
| esk6_5(uri_ex_e,esk3_0,uri_ex_x,esk2_0,uri_ex_y) = uri_ex_x
| iext(uri_owl_oneOf,uri_ex_e,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
cnf(c_0_58,plain,
icext(uri_ex_e,uri_ex_x),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,plain,
icext(esk1_0,uri_ex_y),
inference(spm,[status(thm)],[c_0_53,c_0_29]) ).
cnf(c_0_60,negated_conjecture,
( ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,uri_ex_e,X2)
| ~ iext(uri_rdf_first,X2,uri_ex_x)
| ~ iext(uri_rdf_rest,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
( iext(uri_owl_oneOf,X1,esk3_0)
| esk6_5(X1,esk3_0,uri_ex_x,esk2_0,uri_ex_y) != uri_ex_y
| ~ ic(X1)
| ~ icext(X1,esk6_5(X1,esk3_0,uri_ex_x,esk2_0,uri_ex_y)) ),
inference(spm,[status(thm)],[c_0_55,c_0_21]) ).
cnf(c_0_62,plain,
( esk6_5(uri_ex_e,esk3_0,uri_ex_x,esk2_0,uri_ex_y) = uri_ex_y
| iext(uri_owl_oneOf,uri_ex_e,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_50]),c_0_58])]) ).
cnf(c_0_63,plain,
icext(uri_ex_e,uri_ex_y),
inference(spm,[status(thm)],[c_0_51,c_0_59]) ).
cnf(c_0_64,negated_conjecture,
( ~ iext(uri_owl_oneOf,uri_ex_e,esk3_0)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_rest,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_21]) ).
cnf(c_0_65,plain,
iext(uri_owl_oneOf,uri_ex_e,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_50]),c_0_63])]) ).
cnf(c_0_66,negated_conjecture,
( ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_rest,esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_11]),c_0_8]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWB055+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 20:53:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.47 Running first-order theorem proving
% 0.18/0.47 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.AdJcLL8z0h/E---3.1_31792.p
% 20.09/3.01 # Version: 3.1pre001
% 20.09/3.01 # Preprocessing class: FSLMSMSLSSSNFFN.
% 20.09/3.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.09/3.01 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 20.09/3.01 # Starting new_bool_3 with 600s (2) cores
% 20.09/3.01 # Starting new_bool_1 with 600s (2) cores
% 20.09/3.01 # Starting sh5l with 300s (1) cores
% 20.09/3.01 # new_bool_1 with pid 31872 completed with status 0
% 20.09/3.01 # Result found by new_bool_1
% 20.09/3.01 # Preprocessing class: FSLMSMSLSSSNFFN.
% 20.09/3.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.09/3.01 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 20.09/3.01 # Starting new_bool_3 with 600s (2) cores
% 20.09/3.01 # Starting new_bool_1 with 600s (2) cores
% 20.09/3.01 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 20.09/3.01 # Search class: FGHSF-FSLM33-SFFFFFNN
% 20.09/3.01 # Scheduled 10 strats onto 2 cores with 600 seconds (600 total)
% 20.09/3.01 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 109s (1) cores
% 20.09/3.01 # Starting new_bool_1 with 61s (1) cores
% 20.09/3.01 # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with pid 31875 completed with status 0
% 20.09/3.01 # Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 20.09/3.01 # Preprocessing class: FSLMSMSLSSSNFFN.
% 20.09/3.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.09/3.01 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 20.09/3.01 # Starting new_bool_3 with 600s (2) cores
% 20.09/3.01 # Starting new_bool_1 with 600s (2) cores
% 20.09/3.01 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 20.09/3.01 # Search class: FGHSF-FSLM33-SFFFFFNN
% 20.09/3.01 # Scheduled 10 strats onto 2 cores with 600 seconds (600 total)
% 20.09/3.01 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 109s (1) cores
% 20.09/3.01 # Preprocessing time : 0.004 s
% 20.09/3.01 # Presaturation interreduction done
% 20.09/3.01
% 20.09/3.01 # Proof found!
% 20.09/3.01 # SZS status Theorem
% 20.09/3.01 # SZS output start CNFRefutation
% See solution above
% 20.09/3.01 # Parsed axioms : 560
% 20.09/3.01 # Removed by relevancy pruning/SinE : 487
% 20.09/3.01 # Initial clauses : 181
% 20.09/3.01 # Removed in clause preprocessing : 0
% 20.09/3.01 # Initial clauses in saturation : 181
% 20.09/3.01 # Processed clauses : 13557
% 20.09/3.01 # ...of these trivial : 117
% 20.09/3.01 # ...subsumed : 9963
% 20.09/3.01 # ...remaining for further processing : 3477
% 20.09/3.01 # Other redundant clauses eliminated : 10
% 20.09/3.01 # Clauses deleted for lack of memory : 0
% 20.09/3.01 # Backward-subsumed : 462
% 20.09/3.01 # Backward-rewritten : 45
% 20.09/3.01 # Generated clauses : 20188
% 20.09/3.01 # ...of the previous two non-redundant : 17108
% 20.09/3.01 # ...aggressively subsumed : 0
% 20.09/3.01 # Contextual simplify-reflections : 1097
% 20.09/3.01 # Paramodulations : 20108
% 20.09/3.01 # Factorizations : 56
% 20.09/3.01 # NegExts : 0
% 20.09/3.01 # Equation resolutions : 10
% 20.09/3.01 # Total rewrite steps : 6261
% 20.09/3.01 # Propositional unsat checks : 0
% 20.09/3.01 # Propositional check models : 0
% 20.09/3.01 # Propositional check unsatisfiable : 0
% 20.09/3.01 # Propositional clauses : 0
% 20.09/3.01 # Propositional clauses after purity: 0
% 20.09/3.01 # Propositional unsat core size : 0
% 20.09/3.01 # Propositional preprocessing time : 0.000
% 20.09/3.01 # Propositional encoding time : 0.000
% 20.09/3.01 # Propositional solver time : 0.000
% 20.09/3.01 # Success case prop preproc time : 0.000
% 20.09/3.01 # Success case prop encoding time : 0.000
% 20.09/3.01 # Success case prop solver time : 0.000
% 20.09/3.01 # Current number of processed clauses : 2805
% 20.09/3.01 # Positive orientable unit clauses : 72
% 20.09/3.01 # Positive unorientable unit clauses: 0
% 20.09/3.01 # Negative unit clauses : 3
% 20.09/3.01 # Non-unit-clauses : 2730
% 20.09/3.01 # Current number of unprocessed clauses: 2875
% 20.09/3.01 # ...number of literals in the above : 21362
% 20.09/3.01 # Current number of archived formulas : 0
% 20.09/3.01 # Current number of archived clauses : 657
% 20.09/3.01 # Clause-clause subsumption calls (NU) : 2244027
% 20.09/3.01 # Rec. Clause-clause subsumption calls : 151433
% 20.09/3.01 # Non-unit clause-clause subsumptions : 11513
% 20.09/3.01 # Unit Clause-clause subsumption calls : 3223
% 20.09/3.01 # Rewrite failures with RHS unbound : 0
% 20.09/3.01 # BW rewrite match attempts : 40
% 20.09/3.01 # BW rewrite match successes : 9
% 20.09/3.01 # Condensation attempts : 0
% 20.09/3.01 # Condensation successes : 0
% 20.09/3.01 # Termbank termtop insertions : 468539
% 20.09/3.01
% 20.09/3.01 # -------------------------------------------------
% 20.09/3.01 # User time : 2.478 s
% 20.09/3.01 # System time : 0.013 s
% 20.09/3.01 # Total time : 2.492 s
% 20.09/3.01 # Maximum resident set size: 3088 pages
% 20.09/3.01
% 20.09/3.01 # -------------------------------------------------
% 20.09/3.01 # User time : 4.968 s
% 20.09/3.01 # System time : 0.014 s
% 20.09/3.01 # Total time : 4.983 s
% 20.09/3.01 # Maximum resident set size: 2236 pages
% 20.09/3.01 % E---3.1 exiting
% 20.09/3.01 % E---3.1 exiting
%------------------------------------------------------------------------------