TSTP Solution File: NUM476+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM476+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 : n021.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 17:59:52 EDT 2022
% Result : Theorem 0.18s 0.55s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 32
% Syntax : Number of formulae : 154 ( 17 unt; 0 def)
% Number of atoms : 550 ( 186 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 628 ( 232 ~; 254 |; 95 &)
% ( 22 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 142 ( 118 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1019,plain,
$false,
inference(avatar_sat_refutation,[],[f231,f236,f246,f251,f256,f702,f703,f764,f886,f987,f1008,f1011]) ).
fof(f1011,plain,
( ~ spl13_11
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f1010,f243,f284]) ).
fof(f284,plain,
( spl13_11
<=> aNaturalNumber0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f243,plain,
( spl13_5
<=> xn = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f1010,plain,
( ~ aNaturalNumber0(sK4)
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f1009,f136]) ).
fof(f136,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(f1009,plain,
( ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xl)
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f774,f184]) ).
fof(f184,plain,
~ doDivides0(xl,xn),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( ( xn = sdtasdt0(xl,sK4)
& sK4 = sdtmndt0(sK3,sK2)
& sdtpldt0(sdtasdt0(xl,sK2),sdtasdt0(xl,sK4)) = sdtpldt0(sdtasdt0(xl,sK2),xn)
& sdtlseqdt0(sK2,sK3)
& sdtsldt0(sdtpldt0(xm,xn),xl) = sK3
& sdtsldt0(xm,xl) = sK2 )
| sz00 = xl )
& ~ doDivides0(xl,xn) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f59,f129,f128,f127]) ).
fof(f127,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtmndt0(X1,X0) = X2
& sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn) )
& sdtlseqdt0(X0,X1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = X1 )
& sdtsldt0(xm,xl) = X0 )
=> ( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtmndt0(X1,sK2) = X2
& sdtpldt0(sdtasdt0(xl,sK2),xn) = sdtpldt0(sdtasdt0(xl,sK2),sdtasdt0(xl,X2)) )
& sdtlseqdt0(sK2,X1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = X1 )
& sdtsldt0(xm,xl) = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtmndt0(X1,sK2) = X2
& sdtpldt0(sdtasdt0(xl,sK2),xn) = sdtpldt0(sdtasdt0(xl,sK2),sdtasdt0(xl,X2)) )
& sdtlseqdt0(sK2,X1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = X1 )
=> ( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtmndt0(sK3,sK2) = X2
& sdtpldt0(sdtasdt0(xl,sK2),xn) = sdtpldt0(sdtasdt0(xl,sK2),sdtasdt0(xl,X2)) )
& sdtlseqdt0(sK2,sK3)
& sdtsldt0(sdtpldt0(xm,xn),xl) = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtmndt0(sK3,sK2) = X2
& sdtpldt0(sdtasdt0(xl,sK2),xn) = sdtpldt0(sdtasdt0(xl,sK2),sdtasdt0(xl,X2)) )
=> ( xn = sdtasdt0(xl,sK4)
& sK4 = sdtmndt0(sK3,sK2)
& sdtpldt0(sdtasdt0(xl,sK2),sdtasdt0(xl,sK4)) = sdtpldt0(sdtasdt0(xl,sK2),xn) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ( ? [X0] :
( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtmndt0(X1,X0) = X2
& sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn) )
& sdtlseqdt0(X0,X1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = X1 )
& sdtsldt0(xm,xl) = X0 )
| sz00 = xl )
& ~ doDivides0(xl,xn) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ( ( sz00 != xl
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtmndt0(X1,X0) = X2
& sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn) )
& sdtlseqdt0(X0,X1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = X1 )
& sdtsldt0(xm,xl) = X0 ) )
=> doDivides0(xl,xn) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
( ( sz00 != xl
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtmndt0(X1,X0) = X2
& sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn) )
& sdtlseqdt0(X0,X1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = X1 )
& sdtsldt0(xm,xl) = X0 ) )
=> doDivides0(xl,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f774,plain,
( ~ aNaturalNumber0(sK4)
| doDivides0(xl,xn)
| ~ aNaturalNumber0(xl)
| ~ spl13_5 ),
inference(superposition,[],[f550,f770]) ).
fof(f770,plain,
( xn = sdtasdt0(xl,sK4)
| ~ spl13_5 ),
inference(forward_demodulation,[],[f209,f245]) ).
fof(f245,plain,
( xn = sF5
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f209,plain,
sF5 = sdtasdt0(xl,sK4),
introduced(function_definition,[]) ).
fof(f550,plain,
! [X2,X1] :
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(subsumption_resolution,[],[f207,f177]) ).
fof(f177,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X1,X0] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X1,X0] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f207,plain,
! [X2,X1] :
( ~ aNaturalNumber0(X1)
| doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X2,X0,X1] :
( doDivides0(X1,X0)
| sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( ( doDivides0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtasdt0(X1,sK1(X0,X1)) = X0
& aNaturalNumber0(sK1(X0,X1)) )
| ~ doDivides0(X1,X0) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f124,f125]) ).
fof(f125,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X1,sK1(X0,X1)) = X0
& aNaturalNumber0(sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0,X1] :
( ( ( doDivides0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aNaturalNumber0(X3) )
| ~ doDivides0(X1,X0) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
! [X1,X0] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f1008,plain,
( spl13_11
| ~ spl13_25
| ~ spl13_1
| ~ spl13_6
| ~ spl13_9 ),
inference(avatar_split_clause,[],[f1007,f275,f248,f224,f823,f284]) ).
fof(f823,plain,
( spl13_25
<=> aNaturalNumber0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f224,plain,
( spl13_1
<=> sF6 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f248,plain,
( spl13_6
<=> sdtlseqdt0(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f275,plain,
( spl13_9
<=> aNaturalNumber0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f1007,plain,
( ~ aNaturalNumber0(sK3)
| aNaturalNumber0(sK4)
| ~ spl13_1
| ~ spl13_6
| ~ spl13_9 ),
inference(subsumption_resolution,[],[f1006,f276]) ).
fof(f276,plain,
( aNaturalNumber0(sK2)
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f1006,plain,
( ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sK2)
| aNaturalNumber0(sK4)
| ~ spl13_1
| ~ spl13_6 ),
inference(subsumption_resolution,[],[f731,f250]) ).
fof(f250,plain,
( sdtlseqdt0(sK2,sK3)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f731,plain,
( ~ aNaturalNumber0(sK3)
| aNaturalNumber0(sK4)
| ~ sdtlseqdt0(sK2,sK3)
| ~ aNaturalNumber0(sK2)
| ~ spl13_1 ),
inference(superposition,[],[f202,f722]) ).
fof(f722,plain,
( sK4 = sdtmndt0(sK3,sK2)
| ~ spl13_1 ),
inference(backward_demodulation,[],[f211,f226]) ).
fof(f226,plain,
( sF6 = sK4
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f211,plain,
sF6 = sdtmndt0(sK3,sK2),
introduced(function_definition,[]) ).
fof(f202,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X0,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f142]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| aNaturalNumber0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| sdtpldt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X1,X2) = X0
& aNaturalNumber0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| sdtpldt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X1,X2) = X0
& aNaturalNumber0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sdtpldt0(X1,X2) = X0
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sdtpldt0(X1,X2) = X0
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X1,X0)
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sdtpldt0(X1,X2) = X0
& aNaturalNumber0(X2) ) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f987,plain,
( spl13_25
| spl13_2
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f814,f253,f228,f823]) ).
fof(f228,plain,
( spl13_2
<=> sz00 = xl ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f253,plain,
( spl13_7
<=> sK3 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f814,plain,
( aNaturalNumber0(sK3)
| spl13_2
| ~ spl13_7 ),
inference(subsumption_resolution,[],[f813,f308]) ).
fof(f308,plain,
aNaturalNumber0(sF10),
inference(subsumption_resolution,[],[f307,f137]) ).
fof(f137,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f307,plain,
( ~ aNaturalNumber0(xn)
| aNaturalNumber0(sF10) ),
inference(subsumption_resolution,[],[f302,f138]) ).
fof(f138,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f302,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| aNaturalNumber0(sF10) ),
inference(superposition,[],[f183,f217]) ).
fof(f217,plain,
sdtpldt0(xm,xn) = sF10,
introduced(function_definition,[]) ).
fof(f183,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X1,X0] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X1,X0)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f813,plain,
( aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sF10)
| spl13_2
| ~ spl13_7 ),
inference(subsumption_resolution,[],[f812,f229]) ).
fof(f229,plain,
( sz00 != xl
| spl13_2 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f812,plain,
( aNaturalNumber0(sK3)
| sz00 = xl
| ~ aNaturalNumber0(sF10)
| ~ spl13_7 ),
inference(subsumption_resolution,[],[f811,f781]) ).
fof(f781,plain,
doDivides0(xl,sF10),
inference(backward_demodulation,[],[f146,f217]) ).
fof(f146,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).
fof(f811,plain,
( ~ doDivides0(xl,sF10)
| aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sF10)
| sz00 = xl
| ~ spl13_7 ),
inference(subsumption_resolution,[],[f809,f136]) ).
fof(f809,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sF10)
| aNaturalNumber0(sK3)
| ~ doDivides0(xl,sF10)
| sz00 = xl
| ~ spl13_7 ),
inference(superposition,[],[f205,f728]) ).
fof(f728,plain,
( sdtsldt0(sF10,xl) = sK3
| ~ spl13_7 ),
inference(forward_demodulation,[],[f218,f255]) ).
fof(f255,plain,
( sK3 = sF11
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f218,plain,
sdtsldt0(sF10,xl) = sF11,
introduced(function_definition,[]) ).
fof(f205,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f155,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ! [X2] :
( ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 )
& ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X1)
| sz00 = X0 ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X1,X0] :
( ! [X2] :
( ( ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
| sdtsldt0(X0,X1) != X2 )
& ( sdtsldt0(X0,X1) = X2
| sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| sz00 = X1 ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X1,X0] :
( ! [X2] :
( ( ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
| sdtsldt0(X0,X1) != X2 )
& ( sdtsldt0(X0,X1) = X2
| sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| sz00 = X1 ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
<=> sdtsldt0(X0,X1) = X2 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| sz00 = X1 ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
<=> sdtsldt0(X0,X1) = X2 )
| ~ doDivides0(X1,X0)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X1,X0)
& sz00 != X1 )
=> ! [X2] :
( ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
<=> sdtsldt0(X0,X1) = X2 ) ) ),
inference(rectify,[],[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(f886,plain,
( spl13_9
| spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f818,f233,f228,f275]) ).
fof(f233,plain,
( spl13_3
<=> sK2 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f818,plain,
( aNaturalNumber0(sK2)
| spl13_2
| ~ spl13_3 ),
inference(subsumption_resolution,[],[f817,f136]) ).
fof(f817,plain,
( ~ aNaturalNumber0(xl)
| aNaturalNumber0(sK2)
| spl13_2
| ~ spl13_3 ),
inference(subsumption_resolution,[],[f816,f138]) ).
fof(f816,plain,
( ~ aNaturalNumber0(xm)
| aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| spl13_2
| ~ spl13_3 ),
inference(subsumption_resolution,[],[f815,f147]) ).
fof(f147,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f815,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| aNaturalNumber0(sK2)
| spl13_2
| ~ spl13_3 ),
inference(subsumption_resolution,[],[f810,f229]) ).
fof(f810,plain,
( sz00 = xl
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xl,xm)
| aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ~ spl13_3 ),
inference(superposition,[],[f205,f787]) ).
fof(f787,plain,
( sdtsldt0(xm,xl) = sK2
| ~ spl13_3 ),
inference(forward_demodulation,[],[f220,f235]) ).
fof(f235,plain,
( sK2 = sF12
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f220,plain,
sdtsldt0(xm,xl) = sF12,
introduced(function_definition,[]) ).
fof(f764,plain,
~ spl13_24,
inference(avatar_contradiction_clause,[],[f763]) ).
fof(f763,plain,
( $false
| ~ spl13_24 ),
inference(subsumption_resolution,[],[f762,f137]) ).
fof(f762,plain,
( ~ aNaturalNumber0(xn)
| ~ spl13_24 ),
inference(subsumption_resolution,[],[f761,f184]) ).
fof(f761,plain,
( doDivides0(xl,xn)
| ~ aNaturalNumber0(xn)
| ~ spl13_24 ),
inference(superposition,[],[f760,f163]) ).
fof(f163,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f760,plain,
( doDivides0(xl,sdtpldt0(sz00,xn))
| ~ spl13_24 ),
inference(forward_demodulation,[],[f146,f701]) ).
fof(f701,plain,
( sz00 = xm
| ~ spl13_24 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f699,plain,
( spl13_24
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f703,plain,
( spl13_16
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f692,f228,f422]) ).
fof(f422,plain,
( spl13_16
<=> sz00 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f692,plain,
( sz00 = sF10
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f684,f308]) ).
fof(f684,plain,
( ~ aNaturalNumber0(sF10)
| sz00 = sF10
| ~ spl13_2 ),
inference(resolution,[],[f682,f263]) ).
fof(f263,plain,
( doDivides0(sz00,sF10)
| ~ spl13_2 ),
inference(backward_demodulation,[],[f260,f217]) ).
fof(f260,plain,
( doDivides0(sz00,sdtpldt0(xm,xn))
| ~ spl13_2 ),
inference(forward_demodulation,[],[f146,f230]) ).
fof(f230,plain,
( sz00 = xl
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f682,plain,
! [X0] :
( ~ doDivides0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f681,f165]) ).
fof(f165,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f681,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sz00) ),
inference(duplicate_literal_removal,[],[f680]) ).
fof(f680,plain,
! [X0] :
( ~ doDivides0(sz00,X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f645,f180]) ).
fof(f180,plain,
! [X0,X1] :
( aNaturalNumber0(sK1(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f645,plain,
! [X0] :
( ~ aNaturalNumber0(sK1(X0,sz00))
| ~ doDivides0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f629,f165]) ).
fof(f629,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(sK1(X0,sz00))
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f181,f134]) ).
fof(f134,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,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/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f181,plain,
! [X0,X1] :
( sdtasdt0(X1,sK1(X0,X1)) = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f702,plain,
( spl13_24
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f697,f422,f699]) ).
fof(f697,plain,
( sz00 != sF10
| sz00 = xm ),
inference(subsumption_resolution,[],[f696,f138]) ).
fof(f696,plain,
( sz00 = xm
| ~ aNaturalNumber0(xm)
| sz00 != sF10 ),
inference(subsumption_resolution,[],[f434,f137]) ).
fof(f434,plain,
( sz00 = xm
| ~ aNaturalNumber0(xn)
| sz00 != sF10
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f179,f217]) ).
fof(f179,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| ( sz00 = X0
& sz00 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X1,X0] :
( ( sz00 = X0
& sz00 = X1 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtpldt0(X0,X1)
=> ( sz00 = X0
& sz00 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f256,plain,
( spl13_7
| spl13_2 ),
inference(avatar_split_clause,[],[f219,f228,f253]) ).
fof(f219,plain,
( sz00 = xl
| sK3 = sF11 ),
inference(definition_folding,[],[f186,f218,f217]) ).
fof(f186,plain,
( sdtsldt0(sdtpldt0(xm,xn),xl) = sK3
| sz00 = xl ),
inference(cnf_transformation,[],[f130]) ).
fof(f251,plain,
( spl13_6
| spl13_2 ),
inference(avatar_split_clause,[],[f187,f228,f248]) ).
fof(f187,plain,
( sz00 = xl
| sdtlseqdt0(sK2,sK3) ),
inference(cnf_transformation,[],[f130]) ).
fof(f246,plain,
( spl13_2
| spl13_5 ),
inference(avatar_split_clause,[],[f210,f243,f228]) ).
fof(f210,plain,
( xn = sF5
| sz00 = xl ),
inference(definition_folding,[],[f190,f209]) ).
fof(f190,plain,
( xn = sdtasdt0(xl,sK4)
| sz00 = xl ),
inference(cnf_transformation,[],[f130]) ).
fof(f236,plain,
( spl13_2
| spl13_3 ),
inference(avatar_split_clause,[],[f221,f233,f228]) ).
fof(f221,plain,
( sK2 = sF12
| sz00 = xl ),
inference(definition_folding,[],[f185,f220]) ).
fof(f185,plain,
( sdtsldt0(xm,xl) = sK2
| sz00 = xl ),
inference(cnf_transformation,[],[f130]) ).
fof(f231,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f212,f228,f224]) ).
fof(f212,plain,
( sz00 = xl
| sF6 = sK4 ),
inference(definition_folding,[],[f189,f211]) ).
fof(f189,plain,
( sK4 = sdtmndt0(sK3,sK2)
| sz00 = xl ),
inference(cnf_transformation,[],[f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM476+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 06:34:40 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.48 % (5520)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)
% 0.18/0.49 % (5515)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)
% 0.18/0.49 % (5511)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.50 % (5523)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)
% 0.18/0.50 % (5521)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)
% 0.18/0.50 % (5515)Instruction limit reached!
% 0.18/0.50 % (5515)------------------------------
% 0.18/0.50 % (5515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (5523)Refutation not found, incomplete strategy% (5523)------------------------------
% 0.18/0.50 % (5523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (5523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (5523)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (5523)Memory used [KB]: 1663
% 0.18/0.50 % (5523)Time elapsed: 0.110 s
% 0.18/0.50 % (5523)Instructions burned: 7 (million)
% 0.18/0.50 % (5523)------------------------------
% 0.18/0.50 % (5523)------------------------------
% 0.18/0.51 % (5538)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)
% 0.18/0.51 % (5521)Instruction limit reached!
% 0.18/0.51 % (5521)------------------------------
% 0.18/0.51 % (5521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (5521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (5521)Termination reason: Unknown
% 0.18/0.51 % (5521)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (5521)Memory used [KB]: 6268
% 0.18/0.51 % (5521)Time elapsed: 0.120 s
% 0.18/0.51 % (5521)Instructions burned: 12 (million)
% 0.18/0.51 % (5521)------------------------------
% 0.18/0.51 % (5521)------------------------------
% 0.18/0.51 % (5529)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)
% 0.18/0.51 % (5529)Instruction limit reached!
% 0.18/0.51 % (5529)------------------------------
% 0.18/0.51 % (5529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (5518)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)
% 0.18/0.51 % (5529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (5529)Termination reason: Unknown
% 0.18/0.51 % (5529)Termination phase: Preprocessing 3
% 0.18/0.51
% 0.18/0.51 % (5529)Memory used [KB]: 1407
% 0.18/0.51 % (5529)Time elapsed: 0.004 s
% 0.18/0.51 % (5529)Instructions burned: 2 (million)
% 0.18/0.51 % (5529)------------------------------
% 0.18/0.51 % (5529)------------------------------
% 0.18/0.51 % (5522)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)
% 0.18/0.51 % (5541)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)
% 0.18/0.51 % (5519)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)
% 0.18/0.51 % (5522)Instruction limit reached!
% 0.18/0.51 % (5522)------------------------------
% 0.18/0.51 % (5522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (5522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (5522)Termination reason: Unknown
% 0.18/0.51 % (5522)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (5522)Memory used [KB]: 6140
% 0.18/0.51 % (5522)Time elapsed: 0.126 s
% 0.18/0.51 % (5522)Instructions burned: 8 (million)
% 0.18/0.51 % (5522)------------------------------
% 0.18/0.51 % (5522)------------------------------
% 0.18/0.51 % (5540)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)
% 0.18/0.52 % (5514)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)
% 0.18/0.52 % (5515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (5515)Termination reason: Unknown
% 0.18/0.52 % (5515)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (5515)Memory used [KB]: 6140
% 0.18/0.52 % (5515)Time elapsed: 0.112 s
% 0.18/0.52 % (5515)Instructions burned: 14 (million)
% 0.18/0.52 % (5515)------------------------------
% 0.18/0.52 % (5515)------------------------------
% 0.18/0.52 % (5532)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)
% 0.18/0.52 % (5531)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)
% 0.18/0.52 % (5528)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52 % (5513)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)
% 0.18/0.52 % (5513)Instruction limit reached!
% 0.18/0.52 % (5513)------------------------------
% 0.18/0.52 % (5513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (5513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (5513)Termination reason: Unknown
% 0.18/0.52 % (5513)Termination phase: Property scanning
% 0.18/0.52
% 0.18/0.52 % (5513)Memory used [KB]: 1535
% 0.18/0.52 % (5513)Time elapsed: 0.003 s
% 0.18/0.52 % (5513)Instructions burned: 3 (million)
% 0.18/0.52 % (5513)------------------------------
% 0.18/0.52 % (5513)------------------------------
% 0.18/0.52 % (5536)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)
% 0.18/0.52 % (5525)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)
% 0.18/0.53 % (5530)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)
% 0.18/0.53 % (5535)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)
% 0.18/0.53 % (5539)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)
% 0.18/0.53 % (5512)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)
% 0.18/0.53 % (5516)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)
% 0.18/0.53 % (5537)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)
% 0.18/0.53 % (5524)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)
% 0.18/0.53 % (5516)Instruction limit reached!
% 0.18/0.53 % (5516)------------------------------
% 0.18/0.53 % (5516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (5516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (5516)Termination reason: Unknown
% 0.18/0.53 % (5516)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (5516)Memory used [KB]: 1663
% 0.18/0.53 % (5516)Time elapsed: 0.150 s
% 0.18/0.53 % (5516)Instructions burned: 15 (million)
% 0.18/0.53 % (5516)------------------------------
% 0.18/0.53 % (5516)------------------------------
% 0.18/0.54 % (5520)Instruction limit reached!
% 0.18/0.54 % (5520)------------------------------
% 0.18/0.54 % (5520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (5527)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)
% 0.18/0.54 % (5540)Instruction limit reached!
% 0.18/0.54 % (5540)------------------------------
% 0.18/0.54 % (5540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (5534)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)
% 0.18/0.54 % (5526)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)
% 0.18/0.54 % (5528)Instruction limit reached!
% 0.18/0.54 % (5528)------------------------------
% 0.18/0.54 % (5528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (5528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (5528)Termination reason: Unknown
% 0.18/0.54 % (5528)Termination phase: Finite model building preprocessing
% 0.18/0.54
% 0.18/0.54 % (5528)Memory used [KB]: 1535
% 0.18/0.54 % (5528)Time elapsed: 0.003 s
% 0.18/0.54 % (5528)Instructions burned: 5 (million)
% 0.18/0.54 % (5528)------------------------------
% 0.18/0.54 % (5528)------------------------------
% 0.18/0.54 % (5540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (5540)Termination reason: Unknown
% 0.18/0.54 % (5540)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (5540)Memory used [KB]: 6140
% 0.18/0.54 % (5540)Time elapsed: 0.159 s
% 0.18/0.54 % (5540)Instructions burned: 8 (million)
% 0.18/0.54 % (5540)------------------------------
% 0.18/0.54 % (5540)------------------------------
% 0.18/0.55 % (5511)First to succeed.
% 0.18/0.55 % (5530)Instruction limit reached!
% 0.18/0.55 % (5530)------------------------------
% 0.18/0.55 % (5530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (5530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (5530)Termination reason: Unknown
% 0.18/0.55 % (5530)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (5530)Memory used [KB]: 6268
% 0.18/0.55 % (5530)Time elapsed: 0.150 s
% 0.18/0.55 % (5530)Instructions burned: 12 (million)
% 0.18/0.55 % (5530)------------------------------
% 0.18/0.55 % (5530)------------------------------
% 0.18/0.55 % (5525)Instruction limit reached!
% 0.18/0.55 % (5525)------------------------------
% 0.18/0.55 % (5525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (5525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (5525)Termination reason: Unknown
% 0.18/0.55 % (5525)Termination phase: Property scanning
% 0.18/0.55
% 0.18/0.55 % (5525)Memory used [KB]: 1535
% 0.18/0.55 % (5525)Time elapsed: 0.003 s
% 0.18/0.55 % (5525)Instructions burned: 3 (million)
% 0.18/0.55 % (5525)------------------------------
% 0.18/0.55 % (5525)------------------------------
% 0.18/0.55 % (5512)Instruction limit reached!
% 0.18/0.55 % (5512)------------------------------
% 0.18/0.55 % (5512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (5512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (5512)Termination reason: Unknown
% 0.18/0.55 % (5512)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (5512)Memory used [KB]: 6268
% 0.18/0.55 % (5512)Time elapsed: 0.147 s
% 0.18/0.55 % (5512)Instructions burned: 13 (million)
% 0.18/0.55 % (5512)------------------------------
% 0.18/0.55 % (5512)------------------------------
% 0.18/0.55 % (5517)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)
% 0.18/0.55 % (5511)Refutation found. Thanks to Tanya!
% 0.18/0.55 % SZS status Theorem for theBenchmark
% 0.18/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55 % (5511)------------------------------
% 0.18/0.55 % (5511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (5511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (5511)Termination reason: Refutation
% 0.18/0.55
% 0.18/0.55 % (5511)Memory used [KB]: 6396
% 0.18/0.55 % (5511)Time elapsed: 0.149 s
% 0.18/0.55 % (5511)Instructions burned: 24 (million)
% 0.18/0.55 % (5511)------------------------------
% 0.18/0.55 % (5511)------------------------------
% 0.18/0.55 % (5510)Success in time 0.208 s
%------------------------------------------------------------------------------