TSTP Solution File: NUM514+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM514+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 : n001.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 18:00:15 EDT 2022
% Result : Theorem 1.94s 0.61s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 36
% Syntax : Number of formulae : 158 ( 35 unt; 0 def)
% Number of atoms : 553 ( 163 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 657 ( 262 ~; 261 |; 91 &)
% ( 27 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 132 ( 115 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1479,plain,
$false,
inference(avatar_sat_refutation,[],[f303,f322,f323,f349,f369,f1023,f1120,f1129,f1130,f1156,f1192,f1257,f1269,f1471,f1478]) ).
fof(f1478,plain,
( spl6_22
| ~ spl6_10
| spl6_54 ),
inference(avatar_split_clause,[],[f1477,f1194,f361,f692]) ).
fof(f692,plain,
( spl6_22
<=> aNaturalNumber0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f361,plain,
( spl6_10
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f1194,plain,
( spl6_54
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl6_54])]) ).
fof(f1477,plain,
( aNaturalNumber0(xk)
| ~ spl6_10
| spl6_54 ),
inference(subsumption_resolution,[],[f1476,f1195]) ).
fof(f1195,plain,
( sz00 != xp
| spl6_54 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1476,plain,
( sz00 = xp
| aNaturalNumber0(xk)
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1475,f182]) ).
fof(f182,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f1475,plain,
( aNaturalNumber0(xk)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| sz00 = xp
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1474,f246]) ).
fof(f246,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f1474,plain,
( ~ aNaturalNumber0(xp)
| sz00 = xp
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| aNaturalNumber0(xk)
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f1459,f363]) ).
fof(f363,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f1459,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| sz00 = xp
| ~ doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(superposition,[],[f280,f221]) ).
fof(f221,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f280,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ),
inference(equality_resolution,[],[f194]) ).
fof(f194,plain,
! [X2,X0,X1] :
( sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| sdtsldt0(X1,X0) != X2 )
& ( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) ) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| sdtsldt0(X1,X0) != X2 )
& ( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
<=> sdtsldt0(X1,X0) = X2 ) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
<=> sdtsldt0(X1,X0) = X2 )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
<=> sdtsldt0(X1,X0) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f1471,plain,
( ~ spl6_22
| spl6_31
| spl6_32
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f1470,f1033,f1027,f996,f692]) ).
fof(f996,plain,
( spl6_31
<=> sz00 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
fof(f1027,plain,
( spl6_32
<=> aNaturalNumber0(sdtsldt0(xk,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
fof(f1033,plain,
( spl6_33
<=> aNaturalNumber0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
fof(f1470,plain,
( ~ aNaturalNumber0(xk)
| spl6_31
| spl6_32
| ~ spl6_33 ),
inference(subsumption_resolution,[],[f1469,f1034]) ).
fof(f1034,plain,
( aNaturalNumber0(xr)
| ~ spl6_33 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1469,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| spl6_31
| spl6_32 ),
inference(subsumption_resolution,[],[f1468,f227]) ).
fof(f227,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f1468,plain,
( ~ aNaturalNumber0(xk)
| ~ doDivides0(xr,xk)
| ~ aNaturalNumber0(xr)
| spl6_31
| spl6_32 ),
inference(subsumption_resolution,[],[f1323,f997]) ).
fof(f997,plain,
( sz00 != xr
| spl6_31 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1323,plain,
( sz00 = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| ~ doDivides0(xr,xk)
| spl6_32 ),
inference(resolution,[],[f1029,f280]) ).
fof(f1029,plain,
( ~ aNaturalNumber0(sdtsldt0(xk,xr))
| spl6_32 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1269,plain,
( ~ spl6_54
| spl6_20
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f1268,f1158,f609,f1194]) ).
fof(f609,plain,
( spl6_20
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f1158,plain,
( spl6_48
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).
fof(f1268,plain,
( sz00 = xm
| sz00 != xp
| ~ spl6_48 ),
inference(subsumption_resolution,[],[f1267,f1159]) ).
fof(f1159,plain,
( aNaturalNumber0(xm)
| ~ spl6_48 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1267,plain,
( sz00 != xp
| sz00 = xm
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f1265,f246]) ).
fof(f1265,plain,
( ~ aNaturalNumber0(xp)
| sz00 = xm
| ~ aNaturalNumber0(xm)
| sz00 != xp ),
inference(resolution,[],[f266,f876]) ).
fof(f876,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| sz00 != X1
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f865,f256]) ).
fof(f256,plain,
! [X0,X1] :
( aNaturalNumber0(sK2(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ( ( sdtpldt0(X0,sK2(X0,X1)) = X1
& aNaturalNumber0(sK2(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X3] :
( sdtpldt0(X0,X3) != X1
| ~ aNaturalNumber0(X3) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f170,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X0,sK2(X0,X1)) = X1
& aNaturalNumber0(sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X3] :
( sdtpldt0(X0,X3) != X1
| ~ aNaturalNumber0(X3) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> sdtlseqdt0(X0,X1) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X1,X0] :
( ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> sdtlseqdt0(X0,X1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f865,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(sK2(X0,X1))
| sz00 != X1
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f859]) ).
fof(f859,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| sz00 != X1
| ~ aNaturalNumber0(sK2(X0,X1))
| ~ aNaturalNumber0(X1)
| sz00 = X0 ),
inference(superposition,[],[f195,f257]) ).
fof(f257,plain,
! [X0,X1] :
( sdtpldt0(X0,sK2(X0,X1)) = X1
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f195,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ( sz00 = X1
& sz00 = X0 )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
! [X1,X0] :
( sz00 != sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ( sz00 = X0
& sz00 = X1 )
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( sz00 = X0
& sz00 = X1 )
| sz00 != sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sz00 = sdtpldt0(X1,X0)
=> ( sz00 = X0
& sz00 = X1 ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtpldt0(X0,X1)
=> ( sz00 = X1
& sz00 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f266,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( xm != xp
& sdtlseqdt0(xm,xp)
& xn != xp
& sdtlseqdt0(xn,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
fof(f1257,plain,
( ~ spl6_2
| ~ spl6_34 ),
inference(avatar_contradiction_clause,[],[f1256]) ).
fof(f1256,plain,
( $false
| ~ spl6_2
| ~ spl6_34 ),
inference(subsumption_resolution,[],[f1255,f246]) ).
fof(f1255,plain,
( ~ aNaturalNumber0(xp)
| ~ spl6_2
| ~ spl6_34 ),
inference(resolution,[],[f1254,f802]) ).
fof(f802,plain,
( ! [X1] :
( doDivides0(X1,sz00)
| ~ aNaturalNumber0(X1) )
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f788,f301]) ).
fof(f301,plain,
( aNaturalNumber0(sz00)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f300,plain,
( spl6_2
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f788,plain,
! [X1] :
( doDivides0(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f775]) ).
fof(f775,plain,
! [X1] :
( doDivides0(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1) ),
inference(superposition,[],[f772,f232]) ).
fof(f232,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f772,plain,
! [X3,X0] :
( doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f290,f270]) ).
fof(f270,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X1,X0] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f290,plain,
! [X3,X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(sdtasdt0(X0,X3)) ),
inference(equality_resolution,[],[f260]) ).
fof(f260,plain,
! [X3,X0,X1] :
( ~ aNaturalNumber0(X0)
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( ( ( aNaturalNumber0(sK3(X0,X1))
& sdtasdt0(X0,sK3(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1 ) ) )
| ~ aNaturalNumber0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f174,f175]) ).
fof(f175,plain,
! [X0,X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
=> ( aNaturalNumber0(sK3(X0,X1))
& sdtasdt0(X0,sK3(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1 ) ) )
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f173]) ).
fof(f173,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
| ~ doDivides0(X1,X0) )
& ( doDivides0(X1,X0)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != X0 ) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> doDivides0(X1,X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> doDivides0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> doDivides0(X1,X0) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f1254,plain,
( ~ doDivides0(xp,sz00)
| ~ spl6_34 ),
inference(backward_demodulation,[],[f293,f1039]) ).
fof(f1039,plain,
( sz00 = sF5
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1037,plain,
( spl6_34
<=> sz00 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
fof(f293,plain,
~ doDivides0(xp,sF5),
inference(definition_folding,[],[f189,f292,f291]) ).
fof(f291,plain,
sdtsldt0(xn,xr) = sF4,
introduced(function_definition,[]) ).
fof(f292,plain,
sF5 = sdtasdt0(sF4,xm),
introduced(function_definition,[]) ).
fof(f189,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(flattening,[],[f57]) ).
fof(f57,negated_conjecture,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1192,plain,
spl6_48,
inference(avatar_split_clause,[],[f248,f1158]) ).
fof(f248,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f1156,plain,
spl6_33,
inference(avatar_split_clause,[],[f226,f1033]) ).
fof(f226,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f1130,plain,
( spl6_34
| ~ spl6_8
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f628,f609,f346,f1037]) ).
fof(f346,plain,
( spl6_8
<=> aNaturalNumber0(sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f628,plain,
( ~ aNaturalNumber0(sF4)
| sz00 = sF5
| ~ spl6_20 ),
inference(superposition,[],[f619,f232]) ).
fof(f619,plain,
( sdtasdt0(sF4,sz00) = sF5
| ~ spl6_20 ),
inference(backward_demodulation,[],[f292,f611]) ).
fof(f611,plain,
( sz00 = xm
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f1129,plain,
~ spl6_32,
inference(avatar_split_clause,[],[f1128,f1027]) ).
fof(f1128,plain,
~ aNaturalNumber0(sdtsldt0(xk,xr)),
inference(subsumption_resolution,[],[f1127,f293]) ).
fof(f1127,plain,
( ~ aNaturalNumber0(sdtsldt0(xk,xr))
| doDivides0(xp,sF5) ),
inference(subsumption_resolution,[],[f782,f246]) ).
fof(f782,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| doDivides0(xp,sF5) ),
inference(superposition,[],[f772,f371]) ).
fof(f371,plain,
sdtasdt0(xp,sdtsldt0(xk,xr)) = sF5,
inference(forward_demodulation,[],[f370,f292]) ).
fof(f370,plain,
sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sF4,xm),
inference(forward_demodulation,[],[f272,f291]) ).
fof(f272,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2613) ).
fof(f1120,plain,
( spl6_31
| spl6_8
| ~ spl6_33
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f1119,f305,f1033,f346,f996]) ).
fof(f305,plain,
( spl6_3
<=> doDivides0(xr,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f1119,plain,
( ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xr)
| aNaturalNumber0(sF4)
| sz00 = xr ),
inference(subsumption_resolution,[],[f978,f247]) ).
fof(f247,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f978,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| aNaturalNumber0(sF4)
| sz00 = xr
| ~ doDivides0(xr,xn) ),
inference(superposition,[],[f280,f291]) ).
fof(f1023,plain,
( spl6_1
| ~ spl6_31 ),
inference(avatar_contradiction_clause,[],[f1022]) ).
fof(f1022,plain,
( $false
| spl6_1
| ~ spl6_31 ),
inference(subsumption_resolution,[],[f1013,f298]) ).
fof(f298,plain,
( ~ isPrime0(sz00)
| spl6_1 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl6_1
<=> isPrime0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f1013,plain,
( isPrime0(sz00)
| ~ spl6_31 ),
inference(backward_demodulation,[],[f228,f998]) ).
fof(f998,plain,
( sz00 = xr
| ~ spl6_31 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f228,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f369,plain,
( ~ spl6_7
| spl6_10 ),
inference(avatar_split_clause,[],[f368,f361,f342]) ).
fof(f342,plain,
( spl6_7
<=> aNaturalNumber0(sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f368,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sF5) ),
inference(subsumption_resolution,[],[f367,f226]) ).
fof(f367,plain,
( ~ aNaturalNumber0(sF5)
| aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f270,f366]) ).
fof(f366,plain,
sdtasdt0(xn,xm) = sdtasdt0(sF5,xr),
inference(forward_demodulation,[],[f365,f292]) ).
fof(f365,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sF4,xm),xr),
inference(forward_demodulation,[],[f234,f291]) ).
fof(f234,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
( sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)
& sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2576) ).
fof(f349,plain,
( spl6_7
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f340,f346,f342]) ).
fof(f340,plain,
( ~ aNaturalNumber0(sF4)
| aNaturalNumber0(sF5) ),
inference(subsumption_resolution,[],[f335,f248]) ).
fof(f335,plain,
( ~ aNaturalNumber0(sF4)
| aNaturalNumber0(sF5)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f270,f292]) ).
fof(f323,plain,
spl6_2,
inference(avatar_split_clause,[],[f249,f300]) ).
fof(f249,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f322,plain,
spl6_3,
inference(avatar_split_clause,[],[f245,f305]) ).
fof(f245,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
fof(f303,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f288,f300,f296]) ).
fof(f288,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f242]) ).
fof(f242,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( ( ( sz10 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| sz10 = X1
| ~ aNaturalNumber0(X1)
| X0 = X1 )
& sz00 != X0 )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| ( doDivides0(sK0(X0),X0)
& sz10 != sK0(X0)
& aNaturalNumber0(sK0(X0))
& sK0(X0) != X0 )
| sz00 = X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f164,f165]) ).
fof(f165,plain,
! [X0] :
( ? [X2] :
( doDivides0(X2,X0)
& sz10 != X2
& aNaturalNumber0(X2)
& X0 != X2 )
=> ( doDivides0(sK0(X0),X0)
& sz10 != sK0(X0)
& aNaturalNumber0(sK0(X0))
& sK0(X0) != X0 ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X0] :
( ( ( ( sz10 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| sz10 = X1
| ~ aNaturalNumber0(X1)
| X0 = X1 )
& sz00 != X0 )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| ? [X2] :
( doDivides0(X2,X0)
& sz10 != X2
& aNaturalNumber0(X2)
& X0 != X2 )
| sz00 = X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( ( ( sz10 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| sz10 = X1
| ~ aNaturalNumber0(X1)
| X0 = X1 )
& sz00 != X0 )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| ? [X1] :
( doDivides0(X1,X0)
& sz10 != X1
& aNaturalNumber0(X1)
& X0 != X1 )
| sz00 = X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( ( ( sz10 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| sz10 = X1
| ~ aNaturalNumber0(X1)
| X0 = X1 )
& sz00 != X0 )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| ? [X1] :
( doDivides0(X1,X0)
& sz10 != X1
& aNaturalNumber0(X1)
& X0 != X1 )
| sz00 = X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( ( sz10 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| sz10 = X1
| ~ aNaturalNumber0(X1)
| X0 = X1 )
& sz00 != X0 )
<=> isPrime0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( ( ! [X1] :
( sz10 = X1
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) )
& sz00 != X0
& sz10 != X0 )
<=> isPrime0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( sz10 = X1
| X0 = X1 ) )
& sz00 != X0
& sz10 != X0 )
<=> isPrime0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM514+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 07:11:16 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (5388)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)
% 0.20/0.51 % (5387)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)
% 0.20/0.51 % (5386)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)
% 0.20/0.52 % (5403)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)
% 0.20/0.52 % (5395)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)
% 0.20/0.52 % (5404)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)
% 0.20/0.52 % (5396)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)
% 0.20/0.53 % (5382)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)
% 0.20/0.53 % (5380)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (5384)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)
% 0.20/0.54 % (5397)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (5391)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)
% 0.20/0.54 % (5383)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)
% 0.20/0.54 % (5385)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)
% 0.20/0.54 % (5402)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)
% 0.20/0.54 % (5393)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)
% 0.20/0.54 % (5395)Instruction limit reached!
% 0.20/0.54 % (5395)------------------------------
% 0.20/0.54 % (5395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5395)Termination reason: Unknown
% 0.20/0.54 % (5395)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (5395)Memory used [KB]: 6140
% 0.20/0.54 % (5395)Time elapsed: 0.009 s
% 0.20/0.54 % (5395)Instructions burned: 8 (million)
% 0.20/0.54 % (5395)------------------------------
% 0.20/0.54 % (5395)------------------------------
% 0.20/0.54 % (5394)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)
% 0.20/0.54 % (5394)Instruction limit reached!
% 0.20/0.54 % (5394)------------------------------
% 0.20/0.54 % (5394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5394)Termination reason: Unknown
% 0.20/0.54 % (5394)Termination phase: Preprocessing 3
% 0.20/0.54
% 0.20/0.54 % (5394)Memory used [KB]: 1535
% 0.20/0.54 % (5394)Time elapsed: 0.002 s
% 0.20/0.54 % (5394)Instructions burned: 3 (million)
% 0.20/0.54 % (5394)------------------------------
% 0.20/0.54 % (5394)------------------------------
% 0.20/0.54 % (5405)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)
% 0.20/0.54 % (5392)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)
% 0.20/0.55 % (5382)Instruction limit reached!
% 0.20/0.55 % (5382)------------------------------
% 0.20/0.55 % (5382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5382)Termination reason: Unknown
% 0.20/0.55 % (5382)Termination phase: Clausification
% 0.20/0.55
% 0.20/0.55 % (5382)Memory used [KB]: 1535
% 0.20/0.55 % (5382)Time elapsed: 0.003 s
% 0.20/0.55 % (5382)Instructions burned: 3 (million)
% 0.20/0.55 % (5382)------------------------------
% 0.20/0.55 % (5382)------------------------------
% 0.20/0.55 % (5409)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)
% 0.20/0.55 % (5390)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)
% 0.20/0.55 % (5401)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)
% 0.20/0.55 % (5400)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)
% 0.20/0.56 % (5398)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)
% 0.20/0.56 % (5399)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)
% 0.20/0.56 % (5397)Instruction limit reached!
% 0.20/0.56 % (5397)------------------------------
% 0.20/0.56 % (5397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (5397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (5397)Termination reason: Unknown
% 0.20/0.56 % (5397)Termination phase: Preprocessing 3
% 0.20/0.56
% 0.20/0.56 % (5397)Memory used [KB]: 1535
% 0.20/0.56 % (5397)Time elapsed: 0.006 s
% 0.20/0.56 % (5397)Instructions burned: 3 (million)
% 0.20/0.56 % (5397)------------------------------
% 0.20/0.56 % (5397)------------------------------
% 0.20/0.56 % (5384)Instruction limit reached!
% 0.20/0.56 % (5384)------------------------------
% 0.20/0.56 % (5384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (5406)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)
% 0.20/0.56 % (5408)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)
% 0.20/0.56 % (5389)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)
% 0.20/0.56 % (5385)Instruction limit reached!
% 0.20/0.56 % (5385)------------------------------
% 0.20/0.56 % (5385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (5385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (5385)Termination reason: Unknown
% 0.20/0.56 % (5385)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (5385)Memory used [KB]: 1663
% 0.20/0.56 % (5385)Time elapsed: 0.141 s
% 0.20/0.56 % (5385)Instructions burned: 16 (million)
% 0.20/0.56 % (5385)------------------------------
% 0.20/0.56 % (5385)------------------------------
% 0.20/0.57 % (5391)Instruction limit reached!
% 0.20/0.57 % (5391)------------------------------
% 0.20/0.57 % (5391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (5391)Termination reason: Unknown
% 0.20/0.57 % (5391)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (5391)Memory used [KB]: 6140
% 0.20/0.57 % (5391)Time elapsed: 0.007 s
% 0.20/0.57 % (5391)Instructions burned: 7 (million)
% 0.20/0.57 % (5391)------------------------------
% 0.20/0.57 % (5391)------------------------------
% 0.20/0.57 % (5408)Instruction limit reached!
% 0.20/0.57 % (5408)------------------------------
% 0.20/0.57 % (5408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (5408)Termination reason: Unknown
% 0.20/0.57 % (5408)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (5408)Memory used [KB]: 6140
% 0.20/0.57 % (5408)Time elapsed: 0.154 s
% 0.20/0.57 % (5408)Instructions burned: 9 (million)
% 0.20/0.57 % (5408)------------------------------
% 0.20/0.57 % (5408)------------------------------
% 0.20/0.57 % (5381)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)
% 0.20/0.57 % (5390)Instruction limit reached!
% 0.20/0.57 % (5390)------------------------------
% 0.20/0.57 % (5390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (5390)Termination reason: Unknown
% 0.20/0.57 % (5390)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (5390)Memory used [KB]: 6268
% 0.20/0.57 % (5390)Time elapsed: 0.152 s
% 0.20/0.57 % (5390)Instructions burned: 12 (million)
% 0.20/0.57 % (5390)------------------------------
% 0.20/0.57 % (5390)------------------------------
% 0.20/0.57 % (5398)Instruction limit reached!
% 0.20/0.57 % (5398)------------------------------
% 0.20/0.57 % (5398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (5398)Termination reason: Unknown
% 0.20/0.57 % (5398)Termination phase: Preprocessing 2
% 0.20/0.57 % (5387)Refutation not found, non-redundant clauses discarded% (5387)------------------------------
% 0.20/0.57 % (5387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5407)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)
% 0.20/0.58 % (5399)Instruction limit reached!
% 0.20/0.58 % (5399)------------------------------
% 0.20/0.58 % (5399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58
% 0.20/0.58 % (5398)Memory used [KB]: 1407
% 0.20/0.58 % (5398)Time elapsed: 0.002 s
% 0.20/0.58 % (5398)Instructions burned: 2 (million)
% 0.20/0.58 % (5398)------------------------------
% 0.20/0.58 % (5398)------------------------------
% 0.20/0.58 % (5399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (5399)Termination reason: Unknown
% 0.20/0.58 % (5399)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (5399)Memory used [KB]: 6268
% 0.20/0.58 % (5399)Time elapsed: 0.155 s
% 0.20/0.58 % (5399)Instructions burned: 11 (million)
% 0.20/0.58 % (5399)------------------------------
% 0.20/0.58 % (5399)------------------------------
% 0.20/0.58 % (5384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (5384)Termination reason: Unknown
% 0.20/0.58 % (5384)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (5384)Memory used [KB]: 6140
% 0.20/0.58 % (5384)Time elapsed: 0.145 s
% 0.20/0.58 % (5384)Instructions burned: 13 (million)
% 0.20/0.58 % (5384)------------------------------
% 0.20/0.58 % (5384)------------------------------
% 1.53/0.59 % (5380)First to succeed.
% 1.53/0.59 % (5387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (5387)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.53/0.59
% 1.53/0.59 % (5387)Memory used [KB]: 6652
% 1.53/0.59 % (5387)Time elapsed: 0.160 s
% 1.53/0.59 % (5387)Instructions burned: 36 (million)
% 1.53/0.59 % (5387)------------------------------
% 1.53/0.59 % (5387)------------------------------
% 1.53/0.59 % (5386)Instruction limit reached!
% 1.53/0.59 % (5386)------------------------------
% 1.53/0.59 % (5386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (5386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (5386)Termination reason: Unknown
% 1.53/0.59 % (5386)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (5386)Memory used [KB]: 6524
% 1.53/0.59 % (5386)Time elapsed: 0.188 s
% 1.53/0.59 % (5386)Instructions burned: 40 (million)
% 1.53/0.59 % (5386)------------------------------
% 1.53/0.59 % (5386)------------------------------
% 1.53/0.59 % (5392)Instruction limit reached!
% 1.53/0.59 % (5392)------------------------------
% 1.53/0.59 % (5392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (5392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (5392)Termination reason: Unknown
% 1.53/0.59 % (5392)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (5392)Memory used [KB]: 1791
% 1.53/0.59 % (5392)Time elapsed: 0.169 s
% 1.53/0.59 % (5392)Instructions burned: 16 (million)
% 1.53/0.59 % (5392)------------------------------
% 1.53/0.59 % (5392)------------------------------
% 1.53/0.59 % (5381)Instruction limit reached!
% 1.53/0.59 % (5381)------------------------------
% 1.53/0.59 % (5381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (5388)Instruction limit reached!
% 1.53/0.59 % (5388)------------------------------
% 1.53/0.59 % (5388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (5381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (5381)Termination reason: Unknown
% 1.53/0.59 % (5381)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (5381)Memory used [KB]: 6268
% 1.53/0.59 % (5381)Time elapsed: 0.144 s
% 1.53/0.59 % (5381)Instructions burned: 13 (million)
% 1.53/0.59 % (5381)------------------------------
% 1.53/0.59 % (5381)------------------------------
% 1.53/0.60 % (5409)Instruction limit reached!
% 1.53/0.60 % (5409)------------------------------
% 1.53/0.60 % (5409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60 % (5388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60 % (5388)Termination reason: Unknown
% 1.94/0.60 % (5388)Termination phase: Saturation
% 1.94/0.60
% 1.94/0.60 % (5388)Memory used [KB]: 7036
% 1.94/0.60 % (5388)Time elapsed: 0.158 s
% 1.94/0.60 % (5388)Instructions burned: 49 (million)
% 1.94/0.60 % (5388)------------------------------
% 1.94/0.60 % (5388)------------------------------
% 1.94/0.61 % (5380)Refutation found. Thanks to Tanya!
% 1.94/0.61 % SZS status Theorem for theBenchmark
% 1.94/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.61 % (5380)------------------------------
% 1.94/0.61 % (5380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61 % (5380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61 % (5380)Termination reason: Refutation
% 1.94/0.61
% 1.94/0.61 % (5380)Memory used [KB]: 6652
% 1.94/0.61 % (5380)Time elapsed: 0.168 s
% 1.94/0.61 % (5380)Instructions burned: 37 (million)
% 1.94/0.61 % (5380)------------------------------
% 1.94/0.61 % (5380)------------------------------
% 1.94/0.61 % (5379)Success in time 0.241 s
%------------------------------------------------------------------------------