TSTP Solution File: CSR102+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : CSR102+4 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 : Fri Jul 15 02:47:57 EDT 2022
% Result : ContradictoryAxioms 33.06s 6.53s
% Output : CNFRefutation 33.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 59 ( 16 unt; 0 def)
% Number of atoms : 205 ( 50 equ)
% Maximal formula atoms : 45 ( 3 avg)
% Number of connectives : 252 ( 106 ~; 102 |; 28 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 23 ( 21 usr; 14 con; 0-3 aty)
% Number of variables : 117 ( 45 sgn 38 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kb_SUMO_1015,axiom,
! [X48] :
( s__instance(X48,s__Quantity)
=> ~ greater(X48,X48) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_1015) ).
fof(kb_SUMO_848,axiom,
! [X12] :
( s__instance(X12,s__Quantity)
=> ( s__instance(X12,s__PositiveRealNumber)
<=> ( greater(X12,"0")
& s__instance(X12,s__RealNumber) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_848) ).
fof(kb_SUMO_3496,axiom,
! [X171,X172,X173] :
( X172 = s__UnionFn(X173,X171)
<=> ! [X174,X175,X176] :
( ( s__instance(X173,s__SetOrClass)
& s__instance(X172,s__SetOrClass)
& s__instance(X171,s__SetOrClass) )
=> ( ( s__instance(X174,X173)
& s__instance(X175,X171)
& s__instance(X176,X172) )
=> ( s__instance(X174,X172)
& s__instance(X175,X172)
& ( s__instance(X176,X173)
| s__instance(X176,X171) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3496) ).
fof(kb_SUMO_3377,axiom,
s__instance(s__Pi,s__PositiveRealNumber),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3377) ).
fof(kb_SUMO_502,axiom,
! [X26] : s__instance(X26,s__Entity),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_502) ).
fof(kb_SUMO_3533,axiom,
! [X168] :
( s__instance(X168,s__SetOrClass)
=> ( s__instance(X168,s__NullSet)
=> ~ ? [X48] : s__instance(X48,X168) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3533) ).
fof(kb_SUMO_1534,axiom,
! [X111] :
( X111 = s__NullList__m
<=> ( s__instance(X111,s__List)
& ~ ? [X104] : s__inList(X104,X111) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_1534) ).
fof(kb_SUMO_3304,axiom,
! [X12,X15] :
( s__GreatestCommonDivisorFn_1(X15) = X12
=> ~ ? [X155] :
( s__instance(X155,s__Quantity)
& greater(X155,X12)
& ! [X49] :
( ( s__instance(X49,s__Quantity)
& s__instance(X12,s__Quantity) )
=> ( s__inList(X49,s__ListFn_1(X15))
=> s__RemainderFn(X49,X155) = "0" ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3304) ).
fof(kb_SUMO_871,axiom,
! [X6] :
( s__instance(X6,s__Quantity)
=> ( s__instance(X6,s__NonnegativeInteger)
=> greater(X6,"-1") ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_871) ).
fof(kb_SUMO_4092,axiom,
s__instance(s__PoundMass,s__UnitOfMass),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_4092) ).
fof(c_0_10,plain,
! [X2591] :
( ~ s__instance(X2591,s__Quantity)
| ~ greater(X2591,X2591) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[kb_SUMO_1015])])]) ).
fof(c_0_11,plain,
! [X2420] :
( ( greater(X2420,"0")
| ~ s__instance(X2420,s__PositiveRealNumber)
| ~ s__instance(X2420,s__Quantity) )
& ( s__instance(X2420,s__RealNumber)
| ~ s__instance(X2420,s__PositiveRealNumber)
| ~ s__instance(X2420,s__Quantity) )
& ( ~ greater(X2420,"0")
| ~ s__instance(X2420,s__RealNumber)
| s__instance(X2420,s__PositiveRealNumber)
| ~ s__instance(X2420,s__Quantity) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_848])])]) ).
fof(c_0_12,plain,
! [X6423,X6424,X6425,X6426,X6427,X6428,X6429,X6430,X6431] :
( ( s__instance(X6426,X6424)
| ~ s__instance(X6426,X6425)
| ~ s__instance(X6427,X6423)
| ~ s__instance(X6428,X6424)
| ~ s__instance(X6425,s__SetOrClass)
| ~ s__instance(X6424,s__SetOrClass)
| ~ s__instance(X6423,s__SetOrClass)
| X6424 != s__UnionFn(X6425,X6423) )
& ( s__instance(X6427,X6424)
| ~ s__instance(X6426,X6425)
| ~ s__instance(X6427,X6423)
| ~ s__instance(X6428,X6424)
| ~ s__instance(X6425,s__SetOrClass)
| ~ s__instance(X6424,s__SetOrClass)
| ~ s__instance(X6423,s__SetOrClass)
| X6424 != s__UnionFn(X6425,X6423) )
& ( s__instance(X6428,X6425)
| s__instance(X6428,X6423)
| ~ s__instance(X6426,X6425)
| ~ s__instance(X6427,X6423)
| ~ s__instance(X6428,X6424)
| ~ s__instance(X6425,s__SetOrClass)
| ~ s__instance(X6424,s__SetOrClass)
| ~ s__instance(X6423,s__SetOrClass)
| X6424 != s__UnionFn(X6425,X6423) )
& ( s__instance(X6431,s__SetOrClass)
| X6430 = s__UnionFn(X6431,X6429) )
& ( s__instance(X6430,s__SetOrClass)
| X6430 = s__UnionFn(X6431,X6429) )
& ( s__instance(X6429,s__SetOrClass)
| X6430 = s__UnionFn(X6431,X6429) )
& ( s__instance(esk158_3(X6429,X6430,X6431),X6431)
| X6430 = s__UnionFn(X6431,X6429) )
& ( s__instance(esk159_3(X6429,X6430,X6431),X6429)
| X6430 = s__UnionFn(X6431,X6429) )
& ( s__instance(esk160_3(X6429,X6430,X6431),X6430)
| X6430 = s__UnionFn(X6431,X6429) )
& ( ~ s__instance(esk160_3(X6429,X6430,X6431),X6431)
| ~ s__instance(esk158_3(X6429,X6430,X6431),X6430)
| ~ s__instance(esk159_3(X6429,X6430,X6431),X6430)
| X6430 = s__UnionFn(X6431,X6429) )
& ( ~ s__instance(esk160_3(X6429,X6430,X6431),X6429)
| ~ s__instance(esk158_3(X6429,X6430,X6431),X6430)
| ~ s__instance(esk159_3(X6429,X6430,X6431),X6430)
| X6430 = s__UnionFn(X6431,X6429) ) ),
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)],[kb_SUMO_3496])])])])])]) ).
cnf(c_0_13,plain,
( ~ s__instance(X1,s__Quantity)
| ~ greater(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( greater(X1,"0")
| ~ s__instance(X1,s__PositiveRealNumber)
| ~ s__instance(X1,s__Quantity) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( s__instance(X1,s__SetOrClass)
| X2 = s__UnionFn(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( ~ s__instance("0",s__Quantity)
| ~ s__instance("0",s__PositiveRealNumber) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( X1 = X2
| s__instance(X3,s__SetOrClass) ),
inference(spm,[status(thm)],[c_0_15,c_0_15]) ).
cnf(c_0_18,plain,
( s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__Quantity)
| ~ s__instance(X2,s__PositiveRealNumber) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,plain,
s__instance(s__Pi,s__PositiveRealNumber),
inference(split_conjunct,[status(thm)],[kb_SUMO_3377]) ).
cnf(c_0_20,plain,
( s__instance(X1,s__SetOrClass)
| ~ s__instance(s__Pi,s__Quantity) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_21,plain,
! [X2324] : s__instance(X2324,s__Entity),
inference(variable_rename,[status(thm)],[kb_SUMO_502]) ).
fof(c_0_22,plain,
! [X6435,X6436] :
( ~ s__instance(X6435,s__SetOrClass)
| ~ s__instance(X6435,s__NullSet)
| ~ s__instance(X6436,X6435) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3533])])]) ).
cnf(c_0_23,plain,
( s__instance(X1,s__SetOrClass)
| ~ s__instance(s__Pi,X2) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17])]) ).
cnf(c_0_24,plain,
s__instance(X1,s__Entity),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
( ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X1,s__NullSet)
| ~ s__instance(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
s__instance(X1,s__SetOrClass),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
( ~ s__instance(X1,s__NullSet)
| ~ s__instance(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_28,plain,
( s__instance(esk160_3(X1,X2,X3),X2)
| X2 = s__UnionFn(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,plain,
( s__UnionFn(X1,X2) = s__NullSet
| ~ s__instance(X3,esk160_3(X2,s__NullSet,X1)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
( esk160_3(X1,s__NullSet,X2) = s__UnionFn(X3,X4)
| s__UnionFn(X2,X1) = s__NullSet ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_31,plain,
( s__UnionFn(X1,X2) = s__NullSet
| ~ s__instance(X3,s__UnionFn(X4,X5)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,plain,
( s__instance(esk159_3(X1,X2,X3),X1)
| X2 = s__UnionFn(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,plain,
( X1 = s__UnionFn(X2,s__UnionFn(X3,X4))
| s__UnionFn(X5,X6) = s__NullSet ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,plain,
( s__UnionFn(X1,s__UnionFn(X2,X3)) = s__NullSet
| X4 != s__NullSet ),
inference(ef,[status(thm)],[c_0_33]) ).
cnf(c_0_35,plain,
s__UnionFn(X1,s__UnionFn(X2,X3)) = s__NullSet,
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_36,plain,
( X1 = s__UnionFn(X2,s__NullSet)
| ~ s__instance(X3,esk159_3(s__NullSet,X1,X2)) ),
inference(spm,[status(thm)],[c_0_27,c_0_32]) ).
cnf(c_0_37,plain,
s__UnionFn(X1,X2) = s__NullSet,
inference(condense,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_35])]) ).
fof(c_0_38,plain,
! [X3187,X3188,X3189] :
( ( s__instance(X3187,s__List)
| X3187 != s__NullList__m )
& ( ~ s__inList(X3188,X3187)
| X3187 != s__NullList__m )
& ( ~ s__instance(X3189,s__List)
| s__inList(esk110_1(X3189),X3189)
| X3189 = s__NullList__m ) ),
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)],[kb_SUMO_1534])])])])])]) ).
fof(c_0_39,plain,
! [X6226,X6227,X6228] :
( ( s__instance(esk140_3(X6226,X6227,X6228),s__Quantity)
| ~ s__instance(X6228,s__Quantity)
| ~ greater(X6228,X6226)
| s__GreatestCommonDivisorFn_1(X6227) != X6226 )
& ( s__instance(X6226,s__Quantity)
| ~ s__instance(X6228,s__Quantity)
| ~ greater(X6228,X6226)
| s__GreatestCommonDivisorFn_1(X6227) != X6226 )
& ( s__inList(esk140_3(X6226,X6227,X6228),s__ListFn_1(X6227))
| ~ s__instance(X6228,s__Quantity)
| ~ greater(X6228,X6226)
| s__GreatestCommonDivisorFn_1(X6227) != X6226 )
& ( s__RemainderFn(esk140_3(X6226,X6227,X6228),X6228) != "0"
| ~ s__instance(X6228,s__Quantity)
| ~ greater(X6228,X6226)
| s__GreatestCommonDivisorFn_1(X6227) != X6226 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3304])])])])]) ).
cnf(c_0_40,plain,
( X1 = s__NullSet
| ~ s__instance(X2,esk159_3(s__NullSet,X1,X3)) ),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
( X1 = s__NullSet
| s__instance(esk159_3(X2,X1,X3),X2) ),
inference(rw,[status(thm)],[c_0_32,c_0_37]) ).
cnf(c_0_42,plain,
( ~ s__inList(X1,X2)
| X2 != s__NullList__m ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,plain,
( s__inList(esk140_3(X1,X2,X3),s__ListFn_1(X2))
| ~ s__instance(X3,s__Quantity)
| ~ greater(X3,X1)
| s__GreatestCommonDivisorFn_1(X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_44,plain,
! [X2422] :
( ~ s__instance(X2422,s__Quantity)
| ~ s__instance(X2422,s__NonnegativeInteger)
| greater(X2422,"-1") ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_871])]) ).
fof(c_0_45,plain,
( ~ epred6_0
<=> ! [X1] :
( s__GreatestCommonDivisorFn_1(X1) != "-1"
| s__ListFn_1(X1) != s__NullList__m ) ),
introduced(definition) ).
cnf(c_0_46,plain,
X1 = s__NullSet,
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41])]) ).
fof(c_0_47,plain,
( ~ epred7_0
<=> ! [X2] :
( ~ s__instance(X2,s__NonnegativeInteger)
| ~ s__instance(X2,s__Quantity) ) ),
introduced(definition) ).
cnf(c_0_48,plain,
( s__ListFn_1(X1) != s__NullList__m
| s__GreatestCommonDivisorFn_1(X1) != X2
| ~ greater(X3,X2)
| ~ s__instance(X3,s__Quantity) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
( greater(X1,"-1")
| ~ s__instance(X1,s__Quantity)
| ~ s__instance(X1,s__NonnegativeInteger) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,plain,
( epred6_0
| s__GreatestCommonDivisorFn_1(X1) != "-1"
| s__ListFn_1(X1) != s__NullList__m ),
inference(split_equiv,[status(thm)],[c_0_45]) ).
cnf(c_0_51,plain,
s__instance(s__PoundMass,s__UnitOfMass),
inference(split_conjunct,[status(thm)],[kb_SUMO_4092]) ).
cnf(c_0_52,plain,
X1 = X2,
inference(spm,[status(thm)],[c_0_46,c_0_46]) ).
cnf(c_0_53,plain,
( ~ epred7_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_45]),c_0_47]) ).
cnf(c_0_54,plain,
epred6_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_46]),c_0_46]),c_0_46]),c_0_46]) ).
cnf(c_0_55,plain,
( epred7_0
| ~ s__instance(X1,s__NonnegativeInteger)
| ~ s__instance(X1,s__Quantity) ),
inference(split_equiv,[status(thm)],[c_0_47]) ).
cnf(c_0_56,plain,
s__instance(s__PoundMass,X1),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
~ epred7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).
cnf(c_0_58,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_56])]),c_0_57]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR102+4 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 18:46:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.38/0.63 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.63 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.38/0.63 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.38/0.63 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 33.06/6.53 # ENIGMATIC: Solved by autoschedule:
% 33.06/6.53 # No SInE strategy applied
% 33.06/6.53 # Trying AutoSched0 for 150 seconds
% 33.06/6.53 # AutoSched0-Mode selected heuristic G_E___107_C18_F1_AE_Q4_CS_SP_CO_S0Y
% 33.06/6.53 # and selection function SelectMaxLComplexAvoidPosPred.
% 33.06/6.53 #
% 33.06/6.53 # Preprocessing time : 0.653 s
% 33.06/6.53
% 33.06/6.53 # Proof found!
% 33.06/6.53 # SZS status ContradictoryAxioms
% 33.06/6.53 # SZS output start CNFRefutation
% See solution above
% 33.06/6.53 # Training examples: 0 positive, 0 negative
% 33.06/6.53
% 33.06/6.53 # -------------------------------------------------
% 33.06/6.53 # User time : 2.944 s
% 33.06/6.53 # System time : 0.103 s
% 33.06/6.53 # Total time : 3.047 s
% 33.06/6.53 # Maximum resident set size: 10056 pages
% 33.06/6.53
%------------------------------------------------------------------------------