TSTP Solution File: SWB029+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWB029+3 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 18:59:14 EDT 2022
% Result : ContradictoryAxioms 10.06s 2.73s
% Output : CNFRefutation 10.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 193 ( 0 equ)
% Maximal formula atoms : 71 ( 5 avg)
% Number of connectives : 274 ( 115 ~; 116 |; 37 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-5 aty)
% Number of variables : 75 ( 8 sgn 23 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_bool_intersectionof_class_002,axiom,
! [X1,X4,X5,X6,X7] :
( ( iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,X1,X4)
<=> ( ic(X1)
& ic(X5)
& ic(X7)
& ! [X3] :
( icext(X1,X3)
<=> ( icext(X5,X3)
& icext(X7,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_bool_intersectionof_class_002) ).
fof(testcase_premise_fullish_029_Ex_Falso_Quodlibet,axiom,
? [X21,X22,X23,X24] :
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X21)
& iext(uri_owl_intersectionOf,X21,X23)
& iext(uri_rdf_first,X23,uri_ex_A)
& iext(uri_rdf_rest,X23,X24)
& iext(uri_rdf_first,X24,X22)
& iext(uri_rdf_rest,X24,uri_rdf_nil)
& iext(uri_owl_complementOf,X22,uri_ex_A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
fof(rdfs_cext_def,axiom,
! [X3,X2] :
( iext(uri_rdf_type,X3,X2)
<=> icext(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',rdfs_cext_def) ).
fof(owl_bool_complementof_class,axiom,
! [X1,X2] :
( iext(uri_owl_complementOf,X1,X2)
=> ( ic(X1)
& ic(X2)
& ! [X3] :
( icext(X1,X3)
<=> ~ icext(X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_bool_complementof_class) ).
fof(c_0_4,plain,
! [X39,X40,X41,X42,X43,X44,X45] :
( ( ic(X39)
| ~ iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( ic(X41)
| ~ iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( ic(X43)
| ~ iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( icext(X41,X44)
| ~ icext(X39,X44)
| ~ iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( icext(X43,X44)
| ~ icext(X39,X44)
| ~ iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( ~ icext(X41,X45)
| ~ icext(X43,X45)
| icext(X39,X45)
| ~ iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( ~ icext(X39,esk3_5(X39,X40,X41,X42,X43))
| ~ icext(X41,esk3_5(X39,X40,X41,X42,X43))
| ~ icext(X43,esk3_5(X39,X40,X41,X42,X43))
| ~ ic(X39)
| ~ ic(X41)
| ~ ic(X43)
| iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( icext(X41,esk3_5(X39,X40,X41,X42,X43))
| icext(X39,esk3_5(X39,X40,X41,X42,X43))
| ~ ic(X39)
| ~ ic(X41)
| ~ ic(X43)
| iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,uri_rdf_nil) )
& ( icext(X43,esk3_5(X39,X40,X41,X42,X43))
| icext(X39,esk3_5(X39,X40,X41,X42,X43))
| ~ ic(X39)
| ~ ic(X41)
| ~ ic(X43)
| iext(uri_owl_intersectionOf,X39,X40)
| ~ iext(uri_rdf_first,X40,X41)
| ~ iext(uri_rdf_rest,X40,X42)
| ~ iext(uri_rdf_first,X42,X43)
| ~ iext(uri_rdf_rest,X42,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_5,plain,
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,esk19_0)
& iext(uri_owl_intersectionOf,esk19_0,esk21_0)
& iext(uri_rdf_first,esk21_0,uri_ex_A)
& iext(uri_rdf_rest,esk21_0,esk22_0)
& iext(uri_rdf_first,esk22_0,esk20_0)
& iext(uri_rdf_rest,esk22_0,uri_rdf_nil)
& iext(uri_owl_complementOf,esk20_0,uri_ex_A) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet])]) ).
cnf(c_0_6,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_4]) ).
cnf(c_0_7,plain,
iext(uri_rdf_rest,esk22_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,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_4]) ).
cnf(c_0_9,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk22_0,X4)
| ~ iext(uri_rdf_rest,X5,esk22_0)
| ~ iext(uri_owl_intersectionOf,X3,X5)
| ~ iext(uri_rdf_first,X5,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
iext(uri_rdf_first,esk22_0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk22_0,X1)
| ~ iext(uri_rdf_rest,X4,esk22_0)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_12,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk22_0)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
iext(uri_rdf_rest,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_14,plain,
! [X184,X185] :
( ( ~ iext(uri_rdf_type,X184,X185)
| icext(X185,X184) )
& ( ~ icext(X185,X184)
| iext(uri_rdf_type,X184,X185) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_15,plain,
( icext(esk20_0,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_rest,X3,esk22_0)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| ~ iext(uri_rdf_first,X3,X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_16,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,X3,esk21_0)
| ~ iext(uri_rdf_first,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
iext(uri_owl_intersectionOf,esk19_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
iext(uri_rdf_type,uri_ex_w,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,plain,
( icext(esk20_0,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_intersectionOf,X2,esk21_0)
| ~ iext(uri_rdf_first,esk21_0,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
fof(c_0_21,plain,
! [X25,X26,X27] :
( ( ic(X25)
| ~ iext(uri_owl_complementOf,X25,X26) )
& ( ic(X26)
| ~ iext(uri_owl_complementOf,X25,X26) )
& ( ~ icext(X25,X27)
| ~ icext(X26,X27)
| ~ iext(uri_owl_complementOf,X25,X26) )
& ( icext(X26,X27)
| icext(X25,X27)
| ~ iext(uri_owl_complementOf,X25,X26) ) ),
inference(distribute,[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_22,plain,
( icext(X1,X2)
| ~ icext(esk19_0,X2)
| ~ iext(uri_rdf_first,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
icext(esk19_0,uri_ex_w),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( icext(esk20_0,X1)
| ~ icext(esk19_0,X1)
| ~ iext(uri_rdf_first,esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_25,plain,
( ~ icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_complementOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
iext(uri_owl_complementOf,esk20_0,uri_ex_A),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,plain,
( icext(X1,uri_ex_w)
| ~ iext(uri_rdf_first,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
iext(uri_rdf_first,esk21_0,uri_ex_A),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_29,plain,
( icext(esk20_0,uri_ex_w)
| ~ iext(uri_rdf_first,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_30,plain,
( ~ icext(uri_ex_A,X1)
| ~ icext(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
icext(uri_ex_A,uri_ex_w),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
icext(esk20_0,uri_ex_w),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_33,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWB029+3 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 1 07:32:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.44 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.06/2.73 # ENIGMATIC: Solved by autoschedule:
% 10.06/2.73 # No SInE strategy applied
% 10.06/2.73 # Trying AutoSched0 for 150 seconds
% 10.06/2.73 # AutoSched0-Mode selected heuristic G_E___107_C41_F1_PI_AE_Q4_CS_SP_PS_CO_S4S
% 10.06/2.73 # and selection function SelectNewComplexAHPNS.
% 10.06/2.73 #
% 10.06/2.73 # Preprocessing time : 0.030 s
% 10.06/2.73 # Presaturation interreduction done
% 10.06/2.73
% 10.06/2.73 # Proof found!
% 10.06/2.73 # SZS status ContradictoryAxioms
% 10.06/2.73 # SZS output start CNFRefutation
% See solution above
% 10.06/2.73 # Training examples: 0 positive, 0 negative
% 10.06/2.73
% 10.06/2.73 # -------------------------------------------------
% 10.06/2.73 # User time : 0.371 s
% 10.06/2.73 # System time : 0.017 s
% 10.06/2.73 # Total time : 0.388 s
% 10.06/2.73 # Maximum resident set size: 7116 pages
% 10.06/2.73
%------------------------------------------------------------------------------