TSTP Solution File: NUM483+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM483+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n018.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 : 300s
% DateTime : Wed Aug 31 17:59:54 EDT 2022
% Result : Theorem 2.00s 0.63s
% Output : Refutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 31
% Syntax : Number of formulae : 227 ( 12 unt; 0 def)
% Number of atoms : 1144 ( 236 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 1482 ( 565 ~; 783 |; 89 &)
% ( 20 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 174 ( 158 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1554,plain,
$false,
inference(avatar_sat_refutation,[],[f255,f616,f963,f990,f1048,f1074,f1143,f1349,f1426,f1448,f1457,f1459,f1485,f1489,f1549]) ).
fof(f1549,plain,
( spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_28 ),
inference(avatar_contradiction_clause,[],[f1548]) ).
fof(f1548,plain,
( $false
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f1547,f195]) ).
fof(f195,plain,
~ isPrime0(xk),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
~ isPrime0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1725) ).
fof(f1547,plain,
( isPrime0(xk)
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f1546,f208]) ).
fof(f208,plain,
sz00 != xk,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( sz10 != xk
& sz00 != xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1716_04) ).
fof(f1546,plain,
( sz00 = xk
| isPrime0(xk)
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f1545,f209]) ).
fof(f209,plain,
sz10 != xk,
inference(cnf_transformation,[],[f40]) ).
fof(f1545,plain,
( sz10 = xk
| sz00 = xk
| isPrime0(xk)
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f1541,f226]) ).
fof(f226,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aNaturalNumber0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1716) ).
fof(f1541,plain,
( ~ aNaturalNumber0(xk)
| isPrime0(xk)
| sz10 = xk
| sz00 = xk
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_28 ),
inference(resolution,[],[f1524,f603]) ).
fof(f603,plain,
! [X0] :
( sdtlseqdt0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f602,f179]) ).
fof(f179,plain,
! [X0] :
( aNaturalNumber0(sK2(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( ( ( sz10 != X0
& sz00 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz10 = X1
| X0 = X1 ) )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| sz00 = X0
| ( doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0))
& sz10 != sK2(X0)
& sK2(X0) != X0 ) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f139,f140]) ).
fof(f140,plain,
! [X0] :
( ? [X2] :
( doDivides0(X2,X0)
& aNaturalNumber0(X2)
& sz10 != X2
& X0 != X2 )
=> ( doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0))
& sz10 != sK2(X0)
& sK2(X0) != X0 ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0] :
( ( ( ( sz10 != X0
& sz00 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz10 = X1
| X0 = X1 ) )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| sz00 = X0
| ? [X2] :
( doDivides0(X2,X0)
& aNaturalNumber0(X2)
& sz10 != X2
& X0 != X2 ) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( ( ( sz10 != X0
& sz00 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz10 = X1
| X0 = X1 ) )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| sz00 = X0
| ? [X1] :
( doDivides0(X1,X0)
& aNaturalNumber0(X1)
& sz10 != X1
& X0 != X1 ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( ( ( sz10 != X0
& sz00 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz10 = X1
| X0 = X1 ) )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| sz00 = X0
| ? [X1] :
( doDivides0(X1,X0)
& aNaturalNumber0(X1)
& sz10 != X1
& X0 != X1 ) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( ( sz10 != X0
& sz00 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz10 = X1
| X0 = X1 ) )
<=> isPrime0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz00 != X0
& sz10 != X0 )
<=> isPrime0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz00 != X0
& sz10 != X0 )
<=> isPrime0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f602,plain,
! [X0] :
( isPrime0(X0)
| sz10 = X0
| sdtlseqdt0(sK2(X0),X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(duplicate_literal_removal,[],[f601]) ).
fof(f601,plain,
! [X0] :
( sz00 = X0
| sz00 = X0
| isPrime0(X0)
| ~ aNaturalNumber0(sK2(X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sK2(X0),X0)
| sz10 = X0 ),
inference(resolution,[],[f180,f210]) ).
fof(f210,plain,
! [X0,X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ doDivides0(X1,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X1,X0)
& sz00 != X0 )
=> sdtlseqdt0(X1,X0) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X0,X1)
& sz00 != X1 )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f180,plain,
! [X0] :
( doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| isPrime0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1524,plain,
( ~ sdtlseqdt0(sK2(xk),xk)
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f1523,f614]) ).
fof(f614,plain,
( aNaturalNumber0(sK2(xk))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f613,plain,
( spl4_8
<=> aNaturalNumber0(sK2(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f1523,plain,
( ~ sdtlseqdt0(sK2(xk),xk)
| ~ aNaturalNumber0(sK2(xk))
| spl4_7
| spl4_13
| spl4_14
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f1522,f1015]) ).
fof(f1015,plain,
( sz00 != sK2(xk)
| spl4_13 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1014,plain,
( spl4_13
<=> sz00 = sK2(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f1522,plain,
( sz00 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| ~ sdtlseqdt0(sK2(xk),xk)
| spl4_7
| spl4_14
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f1521,f1019]) ).
fof(f1019,plain,
( sz10 != sK2(xk)
| spl4_14 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1018,plain,
( spl4_14
<=> sz10 = sK2(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f1521,plain,
( sz10 = sK2(xk)
| ~ sdtlseqdt0(sK2(xk),xk)
| ~ aNaturalNumber0(sK2(xk))
| sz00 = sK2(xk)
| spl4_7
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f1507,f611]) ).
fof(f611,plain,
( ~ isPrime0(sK2(xk))
| spl4_7 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f609,plain,
( spl4_7
<=> isPrime0(sK2(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f1507,plain,
( ~ sdtlseqdt0(sK2(xk),xk)
| isPrime0(sK2(xk))
| sz10 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| sz00 = sK2(xk)
| ~ spl4_28 ),
inference(superposition,[],[f690,f1371]) ).
fof(f1371,plain,
( xk = sK2(sK2(xk))
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1369,plain,
( spl4_28
<=> xk = sK2(sK2(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f690,plain,
! [X1] :
( ~ sdtlseqdt0(X1,sK2(X1))
| sz10 = X1
| ~ aNaturalNumber0(X1)
| sz00 = X1
| isPrime0(X1) ),
inference(subsumption_resolution,[],[f689,f177]) ).
fof(f177,plain,
! [X0] :
( sK2(X0) != X0
| ~ aNaturalNumber0(X0)
| isPrime0(X0)
| sz00 = X0
| sz10 = X0 ),
inference(cnf_transformation,[],[f141]) ).
fof(f689,plain,
! [X1] :
( sK2(X1) = X1
| isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,sK2(X1))
| sz00 = X1
| sz10 = X1 ),
inference(subsumption_resolution,[],[f688,f179]) ).
fof(f688,plain,
! [X1] :
( ~ aNaturalNumber0(sK2(X1))
| sz00 = X1
| sK2(X1) = X1
| ~ sdtlseqdt0(X1,sK2(X1))
| ~ aNaturalNumber0(X1)
| sz10 = X1
| isPrime0(X1) ),
inference(duplicate_literal_removal,[],[f684]) ).
fof(f684,plain,
! [X1] :
( ~ aNaturalNumber0(sK2(X1))
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,sK2(X1))
| sz00 = X1
| ~ aNaturalNumber0(X1)
| sz10 = X1
| sK2(X1) = X1
| isPrime0(X1) ),
inference(resolution,[],[f603,f217]) ).
fof(f217,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| X0 = X1
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f1489,plain,
( spl4_28
| ~ spl4_27
| ~ spl4_15
| spl4_21 ),
inference(avatar_split_clause,[],[f1488,f1334,f1022,f1365,f1369]) ).
fof(f1365,plain,
( spl4_27
<=> sdtlseqdt0(sK2(sK2(xk)),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f1022,plain,
( spl4_15
<=> aNaturalNumber0(sK2(sK2(xk))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f1334,plain,
( spl4_21
<=> iLess0(sK2(sK2(xk)),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f1488,plain,
( ~ sdtlseqdt0(sK2(sK2(xk)),xk)
| xk = sK2(sK2(xk))
| ~ spl4_15
| spl4_21 ),
inference(subsumption_resolution,[],[f1487,f1023]) ).
fof(f1023,plain,
( aNaturalNumber0(sK2(sK2(xk)))
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1487,plain,
( ~ aNaturalNumber0(sK2(sK2(xk)))
| xk = sK2(sK2(xk))
| ~ sdtlseqdt0(sK2(sK2(xk)),xk)
| spl4_21 ),
inference(subsumption_resolution,[],[f1486,f226]) ).
fof(f1486,plain,
( xk = sK2(sK2(xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK2(sK2(xk)))
| ~ sdtlseqdt0(sK2(sK2(xk)),xk)
| spl4_21 ),
inference(resolution,[],[f1336,f221]) ).
fof(f221,plain,
! [X0,X1] :
( iLess0(X1,X0)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X0 = X1
| iLess0(X1,X0)
| ~ sdtlseqdt0(X1,X0) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1
| iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f1336,plain,
( ~ iLess0(sK2(sK2(xk)),xk)
| spl4_21 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f1485,plain,
( ~ spl4_1
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f1484]) ).
fof(f1484,plain,
( $false
| ~ spl4_1
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f1483,f614]) ).
fof(f1483,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ spl4_1
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f1476,f1015]) ).
fof(f1476,plain,
( sz00 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| ~ spl4_1
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_24 ),
inference(resolution,[],[f1474,f543]) ).
fof(f543,plain,
( ! [X0] :
( ~ doDivides0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f542,f248]) ).
fof(f248,plain,
( aNaturalNumber0(sz00)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl4_1
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f542,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,X0)
| sz00 = X0 )
| ~ spl4_1 ),
inference(duplicate_literal_removal,[],[f541]) ).
fof(f541,plain,
( ! [X0] :
( ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,X0)
| ~ doDivides0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl4_1 ),
inference(resolution,[],[f508,f171]) ).
fof(f171,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ( sdtasdt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X1
| ~ aNaturalNumber0(X3) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f130,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X1
| ~ aNaturalNumber0(X3) ) ) ) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) ) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> doDivides0(X0,X1) ) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> doDivides0(X0,X1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> doDivides0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f508,plain,
( ! [X0] :
( ~ aNaturalNumber0(sK0(sz00,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ doDivides0(sz00,X0) )
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f493,f248]) ).
fof(f493,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,X0))
| ~ doDivides0(sz00,X0) ),
inference(superposition,[],[f184,f172]) ).
fof(f172,plain,
! [X0,X1] :
( sdtasdt0(X0,sK0(X0,X1)) = X1
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f184,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f1474,plain,
( doDivides0(sz00,sK2(xk))
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f1473,f1015]) ).
fof(f1473,plain,
( sz00 = sK2(xk)
| doDivides0(sz00,sK2(xk))
| spl4_7
| ~ spl4_8
| spl4_14
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f1472,f1019]) ).
fof(f1472,plain,
( sz10 = sK2(xk)
| doDivides0(sz00,sK2(xk))
| sz00 = sK2(xk)
| spl4_7
| ~ spl4_8
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f1471,f611]) ).
fof(f1471,plain,
( isPrime0(sK2(xk))
| doDivides0(sz00,sK2(xk))
| sz10 = sK2(xk)
| sz00 = sK2(xk)
| ~ spl4_8
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f1467,f614]) ).
fof(f1467,plain,
( doDivides0(sz00,sK2(xk))
| ~ aNaturalNumber0(sK2(xk))
| sz10 = sK2(xk)
| isPrime0(sK2(xk))
| sz00 = sK2(xk)
| ~ spl4_24 ),
inference(superposition,[],[f180,f1348]) ).
fof(f1348,plain,
( sz00 = sK2(sK2(xk))
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1346,plain,
( spl4_24
<=> sz00 = sK2(sK2(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f1459,plain,
( spl4_23
| spl4_24
| ~ spl4_15
| spl4_20
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f1458,f1334,f1330,f1022,f1346,f1342]) ).
fof(f1342,plain,
( spl4_23
<=> aNaturalNumber0(sK3(sK2(sK2(xk)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f1330,plain,
( spl4_20
<=> sz10 = sK2(sK2(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f1458,plain,
( sz00 = sK2(sK2(xk))
| aNaturalNumber0(sK3(sK2(sK2(xk))))
| ~ spl4_15
| spl4_20
| ~ spl4_21 ),
inference(subsumption_resolution,[],[f1428,f1331]) ).
fof(f1331,plain,
( sz10 != sK2(sK2(xk))
| spl4_20 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f1428,plain,
( sz00 = sK2(sK2(xk))
| aNaturalNumber0(sK3(sK2(sK2(xk))))
| sz10 = sK2(sK2(xk))
| ~ spl4_15
| ~ spl4_21 ),
inference(subsumption_resolution,[],[f1427,f1023]) ).
fof(f1427,plain,
( aNaturalNumber0(sK3(sK2(sK2(xk))))
| ~ aNaturalNumber0(sK2(sK2(xk)))
| sz00 = sK2(sK2(xk))
| sz10 = sK2(sK2(xk))
| ~ spl4_21 ),
inference(resolution,[],[f1335,f215]) ).
fof(f215,plain,
! [X0] :
( ~ iLess0(X0,xk)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0
| aNaturalNumber0(sK3(X0)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| sz10 = X0
| sz00 = X0
| ( isPrime0(sK3(X0))
& aNaturalNumber0(sK3(X0))
& doDivides0(sK3(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f100,f152]) ).
fof(f152,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( isPrime0(sK3(X0))
& aNaturalNumber0(sK3(X0))
& doDivides0(sK3(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| sz10 = X0
| sz00 = X0
| ? [X1] :
( isPrime0(X1)
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& aNaturalNumber0(X1)
& doDivides0(X1,X0) )
| ~ iLess0(X0,xk)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sz00 = X0 ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( ( sz10 != X0
& aNaturalNumber0(X0)
& sz00 != X0 )
=> ( iLess0(X0,xk)
=> ? [X1] :
( isPrime0(X1)
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1700) ).
fof(f1335,plain,
( iLess0(sK2(sK2(xk)),xk)
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f1457,plain,
( spl4_24
| ~ spl4_15
| spl4_20
| ~ spl4_21
| spl4_22 ),
inference(avatar_split_clause,[],[f1456,f1338,f1334,f1330,f1022,f1346]) ).
fof(f1338,plain,
( spl4_22
<=> isPrime0(sK3(sK2(sK2(xk)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f1456,plain,
( sz00 = sK2(sK2(xk))
| ~ spl4_15
| spl4_20
| ~ spl4_21
| spl4_22 ),
inference(subsumption_resolution,[],[f1455,f1023]) ).
fof(f1455,plain,
( sz00 = sK2(sK2(xk))
| ~ aNaturalNumber0(sK2(sK2(xk)))
| spl4_20
| ~ spl4_21
| spl4_22 ),
inference(subsumption_resolution,[],[f1454,f1331]) ).
fof(f1454,plain,
( sz10 = sK2(sK2(xk))
| ~ aNaturalNumber0(sK2(sK2(xk)))
| sz00 = sK2(sK2(xk))
| ~ spl4_21
| spl4_22 ),
inference(subsumption_resolution,[],[f1453,f1335]) ).
fof(f1453,plain,
( ~ iLess0(sK2(sK2(xk)),xk)
| ~ aNaturalNumber0(sK2(sK2(xk)))
| sz10 = sK2(sK2(xk))
| sz00 = sK2(sK2(xk))
| spl4_22 ),
inference(resolution,[],[f1340,f216]) ).
fof(f216,plain,
! [X0] :
( isPrime0(sK3(X0))
| sz10 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| sz00 = X0 ),
inference(cnf_transformation,[],[f153]) ).
fof(f1340,plain,
( ~ isPrime0(sK3(sK2(sK2(xk))))
| spl4_22 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1448,plain,
( spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f1447]) ).
fof(f1447,plain,
( $false
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_20 ),
inference(subsumption_resolution,[],[f1446,f614]) ).
fof(f1446,plain,
( ~ aNaturalNumber0(sK2(xk))
| spl4_7
| spl4_13
| spl4_14
| ~ spl4_20 ),
inference(subsumption_resolution,[],[f1445,f611]) ).
fof(f1445,plain,
( isPrime0(sK2(xk))
| ~ aNaturalNumber0(sK2(xk))
| spl4_13
| spl4_14
| ~ spl4_20 ),
inference(subsumption_resolution,[],[f1444,f1015]) ).
fof(f1444,plain,
( sz00 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| isPrime0(sK2(xk))
| spl4_14
| ~ spl4_20 ),
inference(subsumption_resolution,[],[f1443,f1019]) ).
fof(f1443,plain,
( sz10 = sK2(xk)
| isPrime0(sK2(xk))
| sz00 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| ~ spl4_20 ),
inference(trivial_inequality_removal,[],[f1440]) ).
fof(f1440,plain,
( isPrime0(sK2(xk))
| sz10 != sz10
| sz10 = sK2(xk)
| sz00 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| ~ spl4_20 ),
inference(superposition,[],[f178,f1332]) ).
fof(f1332,plain,
( sz10 = sK2(sK2(xk))
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f178,plain,
! [X0] :
( sz10 != sK2(X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1426,plain,
( spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_15
| spl4_27 ),
inference(avatar_contradiction_clause,[],[f1425]) ).
fof(f1425,plain,
( $false
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_15
| spl4_27 ),
inference(subsumption_resolution,[],[f1424,f209]) ).
fof(f1424,plain,
( sz10 = xk
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_15
| spl4_27 ),
inference(subsumption_resolution,[],[f1423,f226]) ).
fof(f1423,plain,
( ~ aNaturalNumber0(xk)
| sz10 = xk
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_15
| spl4_27 ),
inference(subsumption_resolution,[],[f1422,f195]) ).
fof(f1422,plain,
( isPrime0(xk)
| sz10 = xk
| ~ aNaturalNumber0(xk)
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_15
| spl4_27 ),
inference(subsumption_resolution,[],[f1414,f208]) ).
fof(f1414,plain,
( sz00 = xk
| isPrime0(xk)
| ~ aNaturalNumber0(xk)
| sz10 = xk
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_15
| spl4_27 ),
inference(resolution,[],[f1405,f603]) ).
fof(f1405,plain,
( ~ sdtlseqdt0(sK2(xk),xk)
| spl4_7
| ~ spl4_8
| spl4_13
| spl4_14
| ~ spl4_15
| spl4_27 ),
inference(subsumption_resolution,[],[f1404,f614]) ).
fof(f1404,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ sdtlseqdt0(sK2(xk),xk)
| spl4_7
| spl4_13
| spl4_14
| ~ spl4_15
| spl4_27 ),
inference(subsumption_resolution,[],[f1403,f611]) ).
fof(f1403,plain,
( isPrime0(sK2(xk))
| ~ sdtlseqdt0(sK2(xk),xk)
| ~ aNaturalNumber0(sK2(xk))
| spl4_13
| spl4_14
| ~ spl4_15
| spl4_27 ),
inference(subsumption_resolution,[],[f1402,f1019]) ).
fof(f1402,plain,
( sz10 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| isPrime0(sK2(xk))
| ~ sdtlseqdt0(sK2(xk),xk)
| spl4_13
| ~ spl4_15
| spl4_27 ),
inference(subsumption_resolution,[],[f1400,f1015]) ).
fof(f1400,plain,
( sz00 = sK2(xk)
| sz10 = sK2(xk)
| ~ sdtlseqdt0(sK2(xk),xk)
| ~ aNaturalNumber0(sK2(xk))
| isPrime0(sK2(xk))
| ~ spl4_15
| spl4_27 ),
inference(duplicate_literal_removal,[],[f1386]) ).
fof(f1386,plain,
( ~ aNaturalNumber0(sK2(xk))
| sz10 = sK2(xk)
| sz00 = sK2(xk)
| ~ sdtlseqdt0(sK2(xk),xk)
| ~ aNaturalNumber0(sK2(xk))
| isPrime0(sK2(xk))
| ~ spl4_15
| spl4_27 ),
inference(resolution,[],[f1383,f603]) ).
fof(f1383,plain,
( ! [X0] :
( ~ sdtlseqdt0(sK2(sK2(xk)),X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) )
| ~ spl4_15
| spl4_27 ),
inference(subsumption_resolution,[],[f1382,f1023]) ).
fof(f1382,plain,
( ! [X0] :
( ~ sdtlseqdt0(sK2(sK2(xk)),X0)
| ~ aNaturalNumber0(sK2(sK2(xk)))
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) )
| spl4_27 ),
inference(subsumption_resolution,[],[f1373,f226]) ).
fof(f1373,plain,
( ! [X0] :
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK2(sK2(xk)))
| ~ sdtlseqdt0(sK2(sK2(xk)),X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) )
| spl4_27 ),
inference(resolution,[],[f1367,f232]) ).
fof(f232,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X2,X1) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X2,X1,X0] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X1,X2,X0] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X1,X2,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f1367,plain,
( ~ sdtlseqdt0(sK2(sK2(xk)),xk)
| spl4_27 ),
inference(avatar_component_clause,[],[f1365]) ).
fof(f1349,plain,
( spl4_20
| ~ spl4_21
| ~ spl4_22
| ~ spl4_23
| spl4_24
| spl4_7
| ~ spl4_8
| ~ spl4_12
| spl4_13
| spl4_14
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f1328,f1022,f1018,f1014,f961,f613,f609,f1346,f1342,f1338,f1334,f1330]) ).
fof(f961,plain,
( spl4_12
<=> ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ isPrime0(X7)
| ~ doDivides0(X7,sK2(xk)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f1328,plain,
( sz00 = sK2(sK2(xk))
| ~ aNaturalNumber0(sK3(sK2(sK2(xk))))
| ~ isPrime0(sK3(sK2(sK2(xk))))
| ~ iLess0(sK2(sK2(xk)),xk)
| sz10 = sK2(sK2(xk))
| spl4_7
| ~ spl4_8
| ~ spl4_12
| spl4_13
| spl4_14
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f1323,f1023]) ).
fof(f1323,plain,
( sz10 = sK2(sK2(xk))
| sz00 = sK2(sK2(xk))
| ~ aNaturalNumber0(sK2(sK2(xk)))
| ~ aNaturalNumber0(sK3(sK2(sK2(xk))))
| ~ isPrime0(sK3(sK2(sK2(xk))))
| ~ iLess0(sK2(sK2(xk)),xk)
| spl4_7
| ~ spl4_8
| ~ spl4_12
| spl4_13
| spl4_14
| ~ spl4_15 ),
inference(resolution,[],[f1316,f214]) ).
fof(f214,plain,
! [X0] :
( doDivides0(sK3(X0),X0)
| sz00 = X0
| ~ iLess0(X0,xk)
| ~ aNaturalNumber0(X0)
| sz10 = X0 ),
inference(cnf_transformation,[],[f153]) ).
fof(f1316,plain,
( ! [X7] :
( ~ doDivides0(X7,sK2(sK2(xk)))
| ~ isPrime0(X7)
| ~ aNaturalNumber0(X7) )
| spl4_7
| ~ spl4_8
| ~ spl4_12
| spl4_13
| spl4_14
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f1315,f614]) ).
fof(f1315,plain,
( ! [X7] :
( ~ aNaturalNumber0(sK2(xk))
| ~ isPrime0(X7)
| ~ doDivides0(X7,sK2(sK2(xk)))
| ~ aNaturalNumber0(X7) )
| spl4_7
| ~ spl4_8
| ~ spl4_12
| spl4_13
| spl4_14
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f1314,f611]) ).
fof(f1314,plain,
( ! [X7] :
( ~ isPrime0(X7)
| ~ aNaturalNumber0(X7)
| ~ doDivides0(X7,sK2(sK2(xk)))
| isPrime0(sK2(xk))
| ~ aNaturalNumber0(sK2(xk)) )
| ~ spl4_8
| ~ spl4_12
| spl4_13
| spl4_14
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f1313,f1023]) ).
fof(f1313,plain,
( ! [X7] :
( ~ aNaturalNumber0(sK2(sK2(xk)))
| ~ doDivides0(X7,sK2(sK2(xk)))
| ~ isPrime0(X7)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(sK2(xk))
| isPrime0(sK2(xk)) )
| ~ spl4_8
| ~ spl4_12
| spl4_13
| spl4_14 ),
inference(subsumption_resolution,[],[f1312,f1015]) ).
fof(f1312,plain,
( ! [X7] :
( sz00 = sK2(xk)
| ~ aNaturalNumber0(X7)
| ~ isPrime0(X7)
| ~ aNaturalNumber0(sK2(xk))
| ~ aNaturalNumber0(sK2(sK2(xk)))
| ~ doDivides0(X7,sK2(sK2(xk)))
| isPrime0(sK2(xk)) )
| ~ spl4_8
| ~ spl4_12
| spl4_14 ),
inference(subsumption_resolution,[],[f1307,f1019]) ).
fof(f1307,plain,
( ! [X7] :
( sz10 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| ~ isPrime0(X7)
| sz00 = sK2(xk)
| ~ aNaturalNumber0(sK2(sK2(xk)))
| isPrime0(sK2(xk))
| ~ doDivides0(X7,sK2(sK2(xk)))
| ~ aNaturalNumber0(X7) )
| ~ spl4_8
| ~ spl4_12 ),
inference(resolution,[],[f1030,f180]) ).
fof(f1030,plain,
( ! [X0,X1] :
( ~ doDivides0(X1,sK2(xk))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ isPrime0(X0) )
| ~ spl4_8
| ~ spl4_12 ),
inference(subsumption_resolution,[],[f1008,f614]) ).
fof(f1008,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,sK2(xk))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sK2(xk)) )
| ~ spl4_12 ),
inference(duplicate_literal_removal,[],[f1003]) ).
fof(f1003,plain,
( ! [X0,X1] :
( ~ doDivides0(X1,sK2(xk))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(sK2(xk)) )
| ~ spl4_12 ),
inference(resolution,[],[f962,f220]) ).
fof(f220,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X2)
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X1,X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X2) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X1,X2,X0] :
( doDivides0(X1,X2)
| ~ doDivides0(X1,X0)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X2,X0] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X1,X0)
& doDivides0(X0,X2) )
=> doDivides0(X1,X2) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X1,X2) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f962,plain,
( ! [X7] :
( ~ doDivides0(X7,sK2(xk))
| ~ isPrime0(X7)
| ~ aNaturalNumber0(X7) )
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f1143,plain,
~ spl4_14,
inference(avatar_contradiction_clause,[],[f1142]) ).
fof(f1142,plain,
( $false
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f1141,f226]) ).
fof(f1141,plain,
( ~ aNaturalNumber0(xk)
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f1140,f195]) ).
fof(f1140,plain,
( isPrime0(xk)
| ~ aNaturalNumber0(xk)
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f1139,f209]) ).
fof(f1139,plain,
( sz10 = xk
| ~ aNaturalNumber0(xk)
| isPrime0(xk)
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f1138,f208]) ).
fof(f1138,plain,
( sz00 = xk
| isPrime0(xk)
| sz10 = xk
| ~ aNaturalNumber0(xk)
| ~ spl4_14 ),
inference(trivial_inequality_removal,[],[f1135]) ).
fof(f1135,plain,
( sz00 = xk
| sz10 != sz10
| isPrime0(xk)
| sz10 = xk
| ~ aNaturalNumber0(xk)
| ~ spl4_14 ),
inference(superposition,[],[f178,f1020]) ).
fof(f1020,plain,
( sz10 = sK2(xk)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1074,plain,
( ~ spl4_1
| ~ spl4_13 ),
inference(avatar_contradiction_clause,[],[f1073]) ).
fof(f1073,plain,
( $false
| ~ spl4_1
| ~ spl4_13 ),
inference(subsumption_resolution,[],[f1072,f208]) ).
fof(f1072,plain,
( sz00 = xk
| ~ spl4_1
| ~ spl4_13 ),
inference(subsumption_resolution,[],[f1065,f226]) ).
fof(f1065,plain,
( ~ aNaturalNumber0(xk)
| sz00 = xk
| ~ spl4_1
| ~ spl4_13 ),
inference(resolution,[],[f1063,f543]) ).
fof(f1063,plain,
( doDivides0(sz00,xk)
| ~ spl4_13 ),
inference(subsumption_resolution,[],[f1062,f226]) ).
fof(f1062,plain,
( ~ aNaturalNumber0(xk)
| doDivides0(sz00,xk)
| ~ spl4_13 ),
inference(subsumption_resolution,[],[f1061,f208]) ).
fof(f1061,plain,
( doDivides0(sz00,xk)
| sz00 = xk
| ~ aNaturalNumber0(xk)
| ~ spl4_13 ),
inference(subsumption_resolution,[],[f1060,f209]) ).
fof(f1060,plain,
( sz10 = xk
| sz00 = xk
| ~ aNaturalNumber0(xk)
| doDivides0(sz00,xk)
| ~ spl4_13 ),
inference(subsumption_resolution,[],[f1055,f195]) ).
fof(f1055,plain,
( isPrime0(xk)
| ~ aNaturalNumber0(xk)
| doDivides0(sz00,xk)
| sz10 = xk
| sz00 = xk
| ~ spl4_13 ),
inference(superposition,[],[f180,f1016]) ).
fof(f1016,plain,
( sz00 = sK2(xk)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1048,plain,
( spl4_13
| spl4_14
| spl4_7
| ~ spl4_8
| spl4_15 ),
inference(avatar_split_clause,[],[f1047,f1022,f613,f609,f1018,f1014]) ).
fof(f1047,plain,
( sz10 = sK2(xk)
| sz00 = sK2(xk)
| spl4_7
| ~ spl4_8
| spl4_15 ),
inference(subsumption_resolution,[],[f1046,f614]) ).
fof(f1046,plain,
( sz00 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| sz10 = sK2(xk)
| spl4_7
| spl4_15 ),
inference(subsumption_resolution,[],[f1045,f611]) ).
fof(f1045,plain,
( sz10 = sK2(xk)
| isPrime0(sK2(xk))
| sz00 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| spl4_15 ),
inference(resolution,[],[f1024,f179]) ).
fof(f1024,plain,
( ~ aNaturalNumber0(sK2(sK2(xk)))
| spl4_15 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f990,plain,
spl4_8,
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f989,plain,
( $false
| spl4_8 ),
inference(subsumption_resolution,[],[f988,f195]) ).
fof(f988,plain,
( isPrime0(xk)
| spl4_8 ),
inference(subsumption_resolution,[],[f987,f208]) ).
fof(f987,plain,
( sz00 = xk
| isPrime0(xk)
| spl4_8 ),
inference(subsumption_resolution,[],[f986,f226]) ).
fof(f986,plain,
( ~ aNaturalNumber0(xk)
| isPrime0(xk)
| sz00 = xk
| spl4_8 ),
inference(subsumption_resolution,[],[f985,f209]) ).
fof(f985,plain,
( sz10 = xk
| isPrime0(xk)
| ~ aNaturalNumber0(xk)
| sz00 = xk
| spl4_8 ),
inference(resolution,[],[f615,f179]) ).
fof(f615,plain,
( ~ aNaturalNumber0(sK2(xk))
| spl4_8 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f963,plain,
( ~ spl4_8
| spl4_12 ),
inference(avatar_split_clause,[],[f959,f961,f613]) ).
fof(f959,plain,
! [X7] :
( ~ aNaturalNumber0(X7)
| ~ doDivides0(X7,sK2(xk))
| ~ aNaturalNumber0(sK2(xk))
| ~ isPrime0(X7) ),
inference(subsumption_resolution,[],[f958,f209]) ).
fof(f958,plain,
! [X7] :
( ~ isPrime0(X7)
| ~ aNaturalNumber0(sK2(xk))
| sz10 = xk
| ~ aNaturalNumber0(X7)
| ~ doDivides0(X7,sK2(xk)) ),
inference(subsumption_resolution,[],[f957,f195]) ).
fof(f957,plain,
! [X7] :
( ~ aNaturalNumber0(sK2(xk))
| isPrime0(xk)
| ~ aNaturalNumber0(X7)
| sz10 = xk
| ~ doDivides0(X7,sK2(xk))
| ~ isPrime0(X7) ),
inference(subsumption_resolution,[],[f956,f208]) ).
fof(f956,plain,
! [X7] :
( ~ aNaturalNumber0(sK2(xk))
| sz00 = xk
| ~ isPrime0(X7)
| ~ doDivides0(X7,sK2(xk))
| ~ aNaturalNumber0(X7)
| sz10 = xk
| isPrime0(xk) ),
inference(subsumption_resolution,[],[f950,f226]) ).
fof(f950,plain,
! [X7] :
( ~ isPrime0(X7)
| ~ aNaturalNumber0(xk)
| sz10 = xk
| ~ aNaturalNumber0(X7)
| isPrime0(xk)
| ~ aNaturalNumber0(sK2(xk))
| ~ doDivides0(X7,sK2(xk))
| sz00 = xk ),
inference(resolution,[],[f945,f180]) ).
fof(f945,plain,
! [X0,X1] :
( ~ doDivides0(X1,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| ~ isPrime0(X0) ),
inference(subsumption_resolution,[],[f940,f226]) ).
fof(f940,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk)
| ~ doDivides0(X0,X1)
| ~ isPrime0(X0)
| ~ doDivides0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f936]) ).
fof(f936,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk) ),
inference(resolution,[],[f220,f173]) ).
fof(f173,plain,
! [X0] :
( ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ isPrime0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,negated_conjecture,
~ ? [X0] :
( aNaturalNumber0(X0)
& doDivides0(X0,xk)
& isPrime0(X0) ),
inference(negated_conjecture,[],[f42]) ).
fof(f42,conjecture,
? [X0] :
( aNaturalNumber0(X0)
& doDivides0(X0,xk)
& isPrime0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f616,plain,
( ~ spl4_7
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f607,f613,f609]) ).
fof(f607,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ isPrime0(sK2(xk)) ),
inference(subsumption_resolution,[],[f606,f208]) ).
fof(f606,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ isPrime0(sK2(xk))
| sz00 = xk ),
inference(subsumption_resolution,[],[f605,f209]) ).
fof(f605,plain,
( ~ isPrime0(sK2(xk))
| ~ aNaturalNumber0(sK2(xk))
| sz10 = xk
| sz00 = xk ),
inference(subsumption_resolution,[],[f604,f226]) ).
fof(f604,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ isPrime0(sK2(xk))
| ~ aNaturalNumber0(xk)
| sz10 = xk
| sz00 = xk ),
inference(subsumption_resolution,[],[f600,f195]) ).
fof(f600,plain,
( ~ aNaturalNumber0(sK2(xk))
| isPrime0(xk)
| ~ isPrime0(sK2(xk))
| sz00 = xk
| ~ aNaturalNumber0(xk)
| sz10 = xk ),
inference(resolution,[],[f180,f173]) ).
fof(f255,plain,
spl4_1,
inference(avatar_split_clause,[],[f167,f247]) ).
fof(f167,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM483+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n018.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 : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 06:45:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (1346)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (1350)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (1356)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (1346)Instruction limit reached!
% 0.19/0.52 % (1346)------------------------------
% 0.19/0.52 % (1346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1356)Instruction limit reached!
% 0.19/0.52 % (1356)------------------------------
% 0.19/0.52 % (1356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1364)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53 % (1348)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53 % (1342)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (1371)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53 % (1356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1356)Termination reason: Unknown
% 0.19/0.53 % (1356)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1356)Memory used [KB]: 1535
% 0.19/0.53 % (1356)Time elapsed: 0.005 s
% 0.19/0.53 % (1356)Instructions burned: 4 (million)
% 0.19/0.53 % (1356)------------------------------
% 0.19/0.53 % (1356)------------------------------
% 0.19/0.53 % (1346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1346)Termination reason: Unknown
% 0.19/0.53 % (1346)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1346)Memory used [KB]: 6140
% 0.19/0.53 % (1346)Time elapsed: 0.110 s
% 0.19/0.53 % (1346)Instructions burned: 14 (million)
% 0.19/0.53 % (1346)------------------------------
% 0.19/0.53 % (1346)------------------------------
% 0.19/0.53 % (1369)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (1362)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.53 % (1345)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (1349)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (1347)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.54 % (1365)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.54 % (1370)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54 % (1351)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.54 % (1352)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.54 % (1343)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.54 % (1363)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (1344)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55 % (1361)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.55 % (1368)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (1344)Instruction limit reached!
% 0.19/0.55 % (1344)------------------------------
% 0.19/0.55 % (1344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (1344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (1344)Termination reason: Unknown
% 0.19/0.55 % (1344)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (1344)Memory used [KB]: 1535
% 0.19/0.55 % (1344)Time elapsed: 0.003 s
% 0.19/0.55 % (1344)Instructions burned: 3 (million)
% 0.19/0.55 % (1344)------------------------------
% 0.19/0.55 % (1344)------------------------------
% 0.19/0.55 % (1355)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (1357)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (1366)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (1359)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55 % (1360)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55 % (1353)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (1357)Instruction limit reached!
% 0.19/0.55 % (1357)------------------------------
% 0.19/0.55 % (1357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (1359)Instruction limit reached!
% 0.19/0.55 % (1359)------------------------------
% 0.19/0.55 % (1359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (1357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (1359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (1357)Termination reason: Unknown
% 0.19/0.55 % (1359)Termination reason: Unknown
% 0.19/0.55 % (1357)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (1359)Termination phase: Preprocessing 3
% 0.19/0.55
% 0.19/0.55 % (1357)Memory used [KB]: 6140
% 0.19/0.55 % (1359)Memory used [KB]: 1535
% 0.19/0.55 % (1357)Time elapsed: 0.113 s
% 0.19/0.55 % (1359)Time elapsed: 0.003 s
% 0.19/0.55 % (1357)Instructions burned: 8 (million)
% 0.19/0.55 % (1359)Instructions burned: 3 (million)
% 0.19/0.55 % (1357)------------------------------
% 0.19/0.55 % (1357)------------------------------
% 0.19/0.55 % (1359)------------------------------
% 0.19/0.55 % (1359)------------------------------
% 0.19/0.55 % (1360)Instruction limit reached!
% 0.19/0.55 % (1360)------------------------------
% 0.19/0.55 % (1360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (1360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (1360)Termination reason: Unknown
% 0.19/0.55 % (1360)Termination phase: Preprocessing 3
% 0.19/0.55
% 0.19/0.55 % (1360)Memory used [KB]: 1407
% 0.19/0.55 % (1360)Time elapsed: 0.002 s
% 0.19/0.55 % (1360)Instructions burned: 3 (million)
% 0.19/0.55 % (1360)------------------------------
% 0.19/0.55 % (1360)------------------------------
% 0.19/0.56 % (1367)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.56 % (1358)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 % (1362)Instruction limit reached!
% 0.19/0.56 % (1362)------------------------------
% 0.19/0.56 % (1362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (1347)Instruction limit reached!
% 0.19/0.56 % (1347)------------------------------
% 0.19/0.56 % (1347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (1347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (1347)Termination reason: Unknown
% 0.19/0.56 % (1347)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (1347)Memory used [KB]: 1663
% 0.19/0.56 % (1347)Time elapsed: 0.163 s
% 0.19/0.56 % (1347)Instructions burned: 15 (million)
% 0.19/0.56 % (1347)------------------------------
% 0.19/0.56 % (1347)------------------------------
% 0.19/0.56 % (1370)Instruction limit reached!
% 0.19/0.56 % (1370)------------------------------
% 0.19/0.56 % (1370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (1370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (1370)Termination reason: Unknown
% 0.19/0.56 % (1370)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (1370)Memory used [KB]: 6140
% 0.19/0.56 % (1370)Time elapsed: 0.164 s
% 0.19/0.56 % (1370)Instructions burned: 8 (million)
% 0.19/0.56 % (1370)------------------------------
% 0.19/0.56 % (1370)------------------------------
% 0.19/0.57 % (1354)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.57 % (1352)Instruction limit reached!
% 0.19/0.57 % (1352)------------------------------
% 0.19/0.57 % (1352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (1361)Instruction limit reached!
% 0.19/0.57 % (1361)------------------------------
% 0.19/0.57 % (1361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (1361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (1361)Termination reason: Unknown
% 0.19/0.57 % (1361)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (1361)Memory used [KB]: 6268
% 0.19/0.57 % (1361)Time elapsed: 0.169 s
% 0.19/0.57 % (1361)Instructions burned: 11 (million)
% 0.19/0.57 % (1361)------------------------------
% 0.19/0.57 % (1361)------------------------------
% 0.19/0.57 % (1353)Instruction limit reached!
% 0.19/0.57 % (1353)------------------------------
% 0.19/0.57 % (1353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (1353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (1353)Termination reason: Unknown
% 0.19/0.57 % (1353)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (1353)Memory used [KB]: 6012
% 0.19/0.57 % (1353)Time elapsed: 0.166 s
% 0.19/0.57 % (1353)Instructions burned: 8 (million)
% 0.19/0.57 % (1353)------------------------------
% 0.19/0.57 % (1353)------------------------------
% 0.19/0.57 % (1362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (1362)Termination reason: Unknown
% 0.19/0.57 % (1362)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (1343)Instruction limit reached!
% 0.19/0.57 % (1343)------------------------------
% 0.19/0.57 % (1343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (1362)Memory used [KB]: 6396
% 0.19/0.57 % (1343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (1362)Time elapsed: 0.146 s
% 0.19/0.57 % (1343)Termination reason: Unknown
% 0.19/0.57 % (1362)Instructions burned: 31 (million)
% 0.19/0.57 % (1343)Termination phase: Saturation
% 0.19/0.57 % (1362)------------------------------
% 0.19/0.57 % (1362)------------------------------
% 0.19/0.57
% 0.19/0.57 % (1343)Memory used [KB]: 6140
% 0.19/0.57 % (1343)Time elapsed: 0.143 s
% 0.19/0.57 % (1343)Instructions burned: 13 (million)
% 0.19/0.57 % (1343)------------------------------
% 0.19/0.57 % (1343)------------------------------
% 0.19/0.57 % (1352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (1352)Termination reason: Unknown
% 0.19/0.57 % (1352)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (1352)Memory used [KB]: 6268
% 0.19/0.57 % (1352)Time elapsed: 0.150 s
% 0.19/0.57 % (1352)Instructions burned: 13 (million)
% 0.19/0.57 % (1352)------------------------------
% 0.19/0.57 % (1352)------------------------------
% 0.19/0.58 % (1371)Instruction limit reached!
% 0.19/0.58 % (1371)------------------------------
% 0.19/0.58 % (1371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (1369)Instruction limit reached!
% 0.19/0.58 % (1369)------------------------------
% 0.19/0.58 % (1369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (1369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (1369)Termination reason: Unknown
% 0.19/0.58 % (1369)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (1369)Memory used [KB]: 6524
% 0.19/0.58 % (1369)Time elapsed: 0.170 s
% 0.19/0.58 % (1369)Instructions burned: 26 (million)
% 0.19/0.58 % (1369)------------------------------
% 0.19/0.58 % (1369)------------------------------
% 0.19/0.58 % (1371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (1371)Termination reason: Unknown
% 0.19/0.58 % (1371)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (1371)Memory used [KB]: 6268
% 0.19/0.58 % (1371)Time elapsed: 0.162 s
% 0.19/0.58 % (1371)Instructions burned: 25 (million)
% 0.19/0.58 % (1371)------------------------------
% 0.19/0.58 % (1371)------------------------------
% 0.19/0.58 % (1348)Instruction limit reached!
% 0.19/0.58 % (1348)------------------------------
% 0.19/0.58 % (1348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (1348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (1348)Termination reason: Unknown
% 0.19/0.58 % (1348)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (1348)Memory used [KB]: 6524
% 0.19/0.58 % (1348)Time elapsed: 0.176 s
% 0.19/0.58 % (1348)Instructions burned: 40 (million)
% 0.19/0.58 % (1348)------------------------------
% 0.19/0.58 % (1348)------------------------------
% 0.19/0.58 % (1354)Instruction limit reached!
% 0.19/0.58 % (1354)------------------------------
% 0.19/0.58 % (1354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (1354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (1354)Termination reason: Unknown
% 0.19/0.58 % (1354)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (1354)Memory used [KB]: 1791
% 0.19/0.58 % (1354)Time elapsed: 0.169 s
% 0.19/0.58 % (1354)Instructions burned: 17 (million)
% 0.19/0.58 % (1354)------------------------------
% 0.19/0.58 % (1354)------------------------------
% 1.89/0.60 % (1351)Instruction limit reached!
% 1.89/0.60 % (1351)------------------------------
% 1.89/0.60 % (1351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (1349)Instruction limit reached!
% 1.89/0.61 % (1349)------------------------------
% 1.89/0.61 % (1349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (1364)Instruction limit reached!
% 1.89/0.61 % (1364)------------------------------
% 1.89/0.61 % (1364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (1364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (1364)Termination reason: Unknown
% 1.89/0.61 % (1364)Termination phase: Saturation
% 1.89/0.61
% 1.89/0.61 % (1364)Memory used [KB]: 7931
% 1.89/0.61 % (1364)Time elapsed: 0.202 s
% 1.89/0.61 % (1364)Instructions burned: 82 (million)
% 1.89/0.61 % (1364)------------------------------
% 1.89/0.61 % (1364)------------------------------
% 1.89/0.61 % (1349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (1349)Termination reason: Unknown
% 1.89/0.61 % (1349)Termination phase: Saturation
% 1.89/0.61
% 1.89/0.61 % (1349)Memory used [KB]: 6524
% 1.89/0.61 % (1349)Time elapsed: 0.171 s
% 1.89/0.61 % (1349)Instructions burned: 39 (million)
% 1.89/0.61 % (1349)------------------------------
% 1.89/0.61 % (1349)------------------------------
% 2.00/0.61 % (1345)Instruction limit reached!
% 2.00/0.61 % (1345)------------------------------
% 2.00/0.61 % (1345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.61 % (1345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.61 % (1345)Termination reason: Unknown
% 2.00/0.61 % (1345)Termination phase: Saturation
% 2.00/0.61
% 2.00/0.61 % (1345)Memory used [KB]: 6652
% 2.00/0.61 % (1345)Time elapsed: 0.213 s
% 2.00/0.61 % (1345)Instructions burned: 52 (million)
% 2.00/0.61 % (1345)------------------------------
% 2.00/0.61 % (1345)------------------------------
% 2.00/0.61 % (1351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.61 % (1351)Termination reason: Unknown
% 2.00/0.61 % (1351)Termination phase: Saturation
% 2.00/0.61
% 2.00/0.61 % (1351)Memory used [KB]: 6524
% 2.00/0.61 % (1351)Time elapsed: 0.201 s
% 2.00/0.61 % (1351)Instructions burned: 33 (million)
% 2.00/0.61 % (1351)------------------------------
% 2.00/0.61 % (1351)------------------------------
% 2.00/0.61 % (1365)Instruction limit reached!
% 2.00/0.61 % (1365)------------------------------
% 2.00/0.61 % (1365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.61 % (1365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.61 % (1365)Termination reason: Unknown
% 2.00/0.61 % (1365)Termination phase: Saturation
% 2.00/0.61
% 2.00/0.61 % (1365)Memory used [KB]: 2174
% 2.00/0.61 % (1365)Time elapsed: 0.172 s
% 2.00/0.61 % (1365)Instructions burned: 46 (million)
% 2.00/0.61 % (1365)------------------------------
% 2.00/0.61 % (1365)------------------------------
% 2.00/0.62 % (1350)Instruction limit reached!
% 2.00/0.62 % (1350)------------------------------
% 2.00/0.62 % (1350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62 % (1350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62 % (1350)Termination reason: Unknown
% 2.00/0.62 % (1350)Termination phase: Saturation
% 2.00/0.62
% 2.00/0.62 % (1350)Memory used [KB]: 6908
% 2.00/0.62 % (1350)Time elapsed: 0.202 s
% 2.00/0.62 % (1350)Instructions burned: 50 (million)
% 2.00/0.62 % (1350)------------------------------
% 2.00/0.62 % (1350)------------------------------
% 2.00/0.62 % (1468)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.00/0.62 % (1342)First to succeed.
% 2.00/0.62 % (1355)Instruction limit reached!
% 2.00/0.62 % (1355)------------------------------
% 2.00/0.62 % (1355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62 % (1355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62 % (1355)Termination reason: Unknown
% 2.00/0.62 % (1355)Termination phase: Saturation
% 2.00/0.62
% 2.00/0.62 % (1355)Memory used [KB]: 7164
% 2.00/0.62 % (1355)Time elapsed: 0.215 s
% 2.00/0.62 % (1355)Instructions burned: 52 (million)
% 2.00/0.62 % (1355)------------------------------
% 2.00/0.62 % (1355)------------------------------
% 2.00/0.63 % (1342)Refutation found. Thanks to Tanya!
% 2.00/0.63 % SZS status Theorem for theBenchmark
% 2.00/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.17/0.63 % (1342)------------------------------
% 2.17/0.63 % (1342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63 % (1342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63 % (1342)Termination reason: Refutation
% 2.17/0.63
% 2.17/0.63 % (1342)Memory used [KB]: 6652
% 2.17/0.63 % (1342)Time elapsed: 0.219 s
% 2.17/0.63 % (1342)Instructions burned: 49 (million)
% 2.17/0.63 % (1342)------------------------------
% 2.17/0.63 % (1342)------------------------------
% 2.17/0.63 % (1338)Success in time 0.262 s
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