TSTP Solution File: NUM501+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM501+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 : n004.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 18:00:08 EDT 2022
% Result : Theorem 2.33s 0.71s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 136 ( 22 unt; 0 def)
% Number of atoms : 491 ( 119 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 600 ( 245 ~; 254 |; 65 &)
% ( 15 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 159 ( 146 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3012,plain,
$false,
inference(avatar_sat_refutation,[],[f287,f606,f676,f938,f3001]) ).
fof(f3001,plain,
( ~ spl5_7
| spl5_17 ),
inference(avatar_contradiction_clause,[],[f3000]) ).
fof(f3000,plain,
( $false
| ~ spl5_7
| spl5_17 ),
inference(subsumption_resolution,[],[f2999,f1655]) ).
fof(f1655,plain,
( ~ doDivides0(xk,sF4)
| ~ spl5_7 ),
inference(subsumption_resolution,[],[f1643,f502]) ).
fof(f502,plain,
( aNaturalNumber0(xk)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f501,plain,
( spl5_7
<=> aNaturalNumber0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f1643,plain,
( ~ aNaturalNumber0(xk)
| ~ doDivides0(xk,sF4) ),
inference(resolution,[],[f1607,f175]) ).
fof(f175,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f1607,plain,
! [X6] :
( ~ doDivides0(xr,X6)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X6,sF4) ),
inference(subsumption_resolution,[],[f1606,f176]) ).
fof(f176,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f1606,plain,
! [X6] :
( ~ doDivides0(xr,X6)
| ~ doDivides0(X6,sF4)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(xr) ),
inference(subsumption_resolution,[],[f1601,f310]) ).
fof(f310,plain,
aNaturalNumber0(sF4),
inference(subsumption_resolution,[],[f309,f243]) ).
fof(f243,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xp)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f309,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xn) ),
inference(subsumption_resolution,[],[f304,f241]) ).
fof(f241,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f304,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| aNaturalNumber0(sF4) ),
inference(superposition,[],[f182,f275]) ).
fof(f275,plain,
sdtasdt0(xn,xm) = sF4,
introduced(function_definition,[]) ).
fof(f182,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,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(f1601,plain,
! [X6] :
( ~ doDivides0(X6,sF4)
| ~ aNaturalNumber0(sF4)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(xr)
| ~ doDivides0(xr,X6) ),
inference(resolution,[],[f261,f276]) ).
fof(f276,plain,
~ doDivides0(xr,sF4),
inference(definition_folding,[],[f234,f275]) ).
fof(f234,plain,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(flattening,[],[f50]) ).
fof(f50,negated_conjecture,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(negated_conjecture,[],[f49]) ).
fof(f49,conjecture,
doDivides0(xr,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f261,plain,
! [X2,X0,X1] :
( doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| doDivides0(X2,X0)
| ~ doDivides0(X1,X0) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
! [X1,X0,X2] :
( ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,X1)
| ~ doDivides0(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X2,X0,X1] :
( doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X2,X0)
& doDivides0(X0,X1) )
=> doDivides0(X2,X1) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X2,X0] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).
fof(f2999,plain,
( doDivides0(xk,sF4)
| ~ spl5_7
| spl5_17 ),
inference(subsumption_resolution,[],[f2998,f502]) ).
fof(f2998,plain,
( ~ aNaturalNumber0(xk)
| doDivides0(xk,sF4)
| spl5_17 ),
inference(subsumption_resolution,[],[f2995,f242]) ).
fof(f242,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f2995,plain,
( ~ aNaturalNumber0(xp)
| doDivides0(xk,sF4)
| ~ aNaturalNumber0(xk)
| spl5_17 ),
inference(superposition,[],[f525,f2711]) ).
fof(f2711,plain,
( sdtasdt0(xp,xk) = sF4
| spl5_17 ),
inference(subsumption_resolution,[],[f2710,f242]) ).
fof(f2710,plain,
( sdtasdt0(xp,xk) = sF4
| ~ aNaturalNumber0(xp)
| spl5_17 ),
inference(subsumption_resolution,[],[f2709,f873]) ).
fof(f873,plain,
( sz00 != xp
| spl5_17 ),
inference(subsumption_resolution,[],[f872,f243]) ).
fof(f872,plain,
( sz00 != xp
| ~ aNaturalNumber0(xn)
| spl5_17 ),
inference(subsumption_resolution,[],[f871,f242]) ).
fof(f871,plain,
( sz00 != xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl5_17 ),
inference(subsumption_resolution,[],[f856,f637]) ).
fof(f637,plain,
( sz00 != xn
| spl5_17 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f636,plain,
( spl5_17
<=> sz00 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f856,plain,
( sz00 = xn
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| sz00 != xp ),
inference(resolution,[],[f805,f240]) ).
fof(f240,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( sdtlseqdt0(xn,xp)
& sdtlseqdt0(xm,xp)
& xn != xp
& xm != xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
fof(f805,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sz00 != X1
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(subsumption_resolution,[],[f804,f190]) ).
fof(f190,plain,
! [X0,X1] :
( aNaturalNumber0(sK1(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ( sdtpldt0(X0,sK1(X0,X1)) = X1
& aNaturalNumber0(sK1(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X3] :
( sdtpldt0(X0,X3) != X1
| ~ aNaturalNumber0(X3) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f146,f147]) ).
fof(f147,plain,
! [X0,X1] :
( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X0,sK1(X0,X1)) = X1
& aNaturalNumber0(sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X3] :
( sdtpldt0(X0,X3) != X1
| ~ aNaturalNumber0(X3) ) ) ) ),
inference(rectify,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) ) ) ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> sdtlseqdt0(X0,X1) ) ),
inference(flattening,[],[f94]) ).
fof(f94,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(f804,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| sz00 != X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK1(X0,X1)) ),
inference(duplicate_literal_removal,[],[f794]) ).
fof(f794,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz00 != X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK1(X0,X1))
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[],[f184,f191]) ).
fof(f191,plain,
! [X0,X1] :
( sdtpldt0(X0,sK1(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f184,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X1,X0)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X1,X0)
| ( sz00 = X0
& sz00 = X1 )
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X1,X0] :
( ( sz00 = X0
& sz00 = X1 )
| sz00 != sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( 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(f2709,plain,
( sdtasdt0(xp,xk) = sF4
| sz00 = xp
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f2708,f298]) ).
fof(f298,plain,
doDivides0(xp,sF4),
inference(backward_demodulation,[],[f260,f275]) ).
fof(f260,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(f2708,plain,
( sdtasdt0(xp,xk) = sF4
| ~ doDivides0(xp,sF4)
| ~ aNaturalNumber0(xp)
| sz00 = xp ),
inference(subsumption_resolution,[],[f2683,f310]) ).
fof(f2683,plain,
( ~ aNaturalNumber0(sF4)
| ~ doDivides0(xp,sF4)
| ~ aNaturalNumber0(xp)
| sz00 = xp
| sdtasdt0(xp,xk) = sF4 ),
inference(superposition,[],[f269,f299]) ).
fof(f299,plain,
xk = sdtsldt0(sF4,xp),
inference(forward_demodulation,[],[f192,f275]) ).
fof(f192,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(f269,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(equality_resolution,[],[f210]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,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 ) )
| sz00 = X0
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f158]) ).
fof(f158,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
| sdtsldt0(X0,X1) != X2 )
& ( sdtsldt0(X0,X1) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != X0 ) )
| sz00 = X1
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
| sdtsldt0(X0,X1) != X2 )
& ( sdtsldt0(X0,X1) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != X0 ) )
| sz00 = X1
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> sdtsldt0(X0,X1) = X2 )
| sz00 = X1
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X1,X0] :
( ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> sdtsldt0(X0,X1) = X2 )
| sz00 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sz00 != X1
& doDivides0(X1,X0) )
=> ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> sdtsldt0(X0,X1) = X2 ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sz00 != X0
& doDivides0(X0,X1) )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f525,plain,
! [X4,X5] :
( doDivides0(X4,sdtasdt0(X5,X4))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(duplicate_literal_removal,[],[f518]) ).
fof(f518,plain,
! [X4,X5] :
( doDivides0(X4,sdtasdt0(X5,X4))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) ),
inference(superposition,[],[f513,f177]) ).
fof(f177,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X1,X0] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f513,plain,
! [X3,X1] :
( doDivides0(X1,sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(subsumption_resolution,[],[f263,f182]) ).
fof(f263,plain,
! [X3,X1] :
( ~ aNaturalNumber0(sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X3)
| doDivides0(X1,sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,plain,
! [X3,X0,X1] :
( ~ aNaturalNumber0(X1)
| doDivides0(X1,X0)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ( ( aNaturalNumber0(sK0(X0,X1))
& sdtasdt0(X1,sK0(X0,X1)) = X0 )
| ~ doDivides0(X1,X0) )
& ( doDivides0(X1,X0)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != X0 ) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f139,f140]) ).
fof(f140,plain,
! [X0,X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
=> ( aNaturalNumber0(sK0(X0,X1))
& sdtasdt0(X1,sK0(X0,X1)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
| ~ doDivides0(X1,X0) )
& ( doDivides0(X1,X0)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != X0 ) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ 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,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> doDivides0(X1,X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> doDivides0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,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(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f938,plain,
( spl5_7
| spl5_17 ),
inference(avatar_split_clause,[],[f937,f636,f501]) ).
fof(f937,plain,
( aNaturalNumber0(xk)
| spl5_17 ),
inference(subsumption_resolution,[],[f933,f298]) ).
fof(f933,plain,
( ~ doDivides0(xp,sF4)
| aNaturalNumber0(xk)
| spl5_17 ),
inference(subsumption_resolution,[],[f932,f242]) ).
fof(f932,plain,
( ~ aNaturalNumber0(xp)
| aNaturalNumber0(xk)
| ~ doDivides0(xp,sF4)
| spl5_17 ),
inference(subsumption_resolution,[],[f931,f310]) ).
fof(f931,plain,
( ~ aNaturalNumber0(sF4)
| aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ doDivides0(xp,sF4)
| spl5_17 ),
inference(subsumption_resolution,[],[f930,f873]) ).
fof(f930,plain,
( sz00 = xp
| aNaturalNumber0(xk)
| ~ doDivides0(xp,sF4)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF4) ),
inference(superposition,[],[f268,f299]) ).
fof(f268,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X1) ),
inference(equality_resolution,[],[f211]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f676,plain,
( spl5_11
| ~ spl5_17 ),
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| spl5_11
| ~ spl5_17 ),
inference(subsumption_resolution,[],[f674,f241]) ).
fof(f674,plain,
( ~ aNaturalNumber0(xm)
| spl5_11
| ~ spl5_17 ),
inference(subsumption_resolution,[],[f666,f581]) ).
fof(f581,plain,
( sz00 != sF4
| spl5_11 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f580,plain,
( spl5_11
<=> sz00 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f666,plain,
( sz00 = sF4
| ~ aNaturalNumber0(xm)
| ~ spl5_17 ),
inference(superposition,[],[f213,f651]) ).
fof(f651,plain,
( sF4 = sdtasdt0(sz00,xm)
| ~ spl5_17 ),
inference(backward_demodulation,[],[f275,f638]) ).
fof(f638,plain,
( sz00 = xn
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f213,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f606,plain,
( ~ spl5_1
| ~ spl5_11 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f605,plain,
( $false
| ~ spl5_1
| ~ spl5_11 ),
inference(subsumption_resolution,[],[f604,f176]) ).
fof(f604,plain,
( ~ aNaturalNumber0(xr)
| ~ spl5_1
| ~ spl5_11 ),
inference(resolution,[],[f602,f530]) ).
fof(f530,plain,
( ! [X1] :
( doDivides0(X1,sz00)
| ~ aNaturalNumber0(X1) )
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f528,f280]) ).
fof(f280,plain,
( aNaturalNumber0(sz00)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl5_1
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f528,plain,
! [X1] :
( doDivides0(X1,sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(duplicate_literal_removal,[],[f516]) ).
fof(f516,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00)
| doDivides0(X1,sz00) ),
inference(superposition,[],[f513,f212]) ).
fof(f212,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f602,plain,
( ~ doDivides0(xr,sz00)
| ~ spl5_11 ),
inference(backward_demodulation,[],[f276,f582]) ).
fof(f582,plain,
( sz00 = sF4
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f287,plain,
spl5_1,
inference(avatar_split_clause,[],[f183,f279]) ).
fof(f183,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM501+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 30 06:43:19 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.23/0.49 % (24934)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)
% 0.23/0.49 % (24926)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)
% 0.23/0.50 % (24923)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)
% 0.23/0.50 % (24915)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)
% 0.23/0.51 % (24918)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)
% 0.23/0.51 % (24926)Instruction limit reached!
% 0.23/0.51 % (24926)------------------------------
% 0.23/0.51 % (24926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.51 % (24926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.51 % (24926)Termination reason: Unknown
% 0.23/0.51 % (24926)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (24926)Memory used [KB]: 6012
% 0.23/0.51 % (24926)Time elapsed: 0.009 s
% 0.23/0.51 % (24926)Instructions burned: 8 (million)
% 0.23/0.51 % (24926)------------------------------
% 0.23/0.51 % (24926)------------------------------
% 0.23/0.51 % (24923)Instruction limit reached!
% 0.23/0.51 % (24923)------------------------------
% 0.23/0.51 % (24923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.52 % (24922)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)
% 0.23/0.52 % (24922)Instruction limit reached!
% 0.23/0.52 % (24922)------------------------------
% 0.23/0.52 % (24922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.52 % (24922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.52 % (24922)Termination reason: Unknown
% 0.23/0.52 % (24922)Termination phase: Saturation
% 0.23/0.52
% 0.23/0.52 % (24922)Memory used [KB]: 6140
% 0.23/0.52 % (24922)Time elapsed: 0.005 s
% 0.23/0.52 % (24922)Instructions burned: 7 (million)
% 0.23/0.52 % (24922)------------------------------
% 0.23/0.52 % (24922)------------------------------
% 0.23/0.52 % (24911)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.23/0.52 % (24921)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)
% 0.23/0.52 % (24930)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)
% 0.23/0.52 % (24923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.52 % (24923)Termination reason: Unknown
% 0.23/0.53 % (24923)Termination phase: Saturation
% 0.23/0.53
% 0.23/0.53 % (24923)Memory used [KB]: 1791
% 0.23/0.53 % (24923)Time elapsed: 0.102 s
% 0.23/0.53 % (24923)Instructions burned: 16 (million)
% 0.23/0.53 % (24923)------------------------------
% 0.23/0.53 % (24923)------------------------------
% 0.23/0.53 % (24920)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)
% 0.23/0.53 % (24919)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)
% 0.23/0.53 % (24915)Instruction limit reached!
% 0.23/0.53 % (24915)------------------------------
% 0.23/0.53 % (24915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53 % (24915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53 % (24915)Termination reason: Unknown
% 0.23/0.53 % (24915)Termination phase: Saturation
% 0.23/0.53
% 0.23/0.53 % (24915)Memory used [KB]: 6140
% 0.23/0.53 % (24915)Time elapsed: 0.113 s
% 0.23/0.53 % (24915)Instructions burned: 13 (million)
% 0.23/0.53 % (24915)------------------------------
% 0.23/0.53 % (24915)------------------------------
% 0.23/0.53 % (24930)Instruction limit reached!
% 0.23/0.53 % (24930)------------------------------
% 0.23/0.53 % (24930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53 % (24930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53 % (24930)Termination reason: Unknown
% 0.23/0.53 % (24930)Termination phase: Saturation
% 0.23/0.53
% 0.23/0.53 % (24930)Memory used [KB]: 6268
% 0.23/0.53 % (24930)Time elapsed: 0.124 s
% 0.23/0.53 % (24930)Instructions burned: 11 (million)
% 0.23/0.53 % (24930)------------------------------
% 0.23/0.53 % (24930)------------------------------
% 0.23/0.54 % (24927)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)
% 0.23/0.54 % (24916)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)
% 0.23/0.54 % (24912)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)
% 0.23/0.54 % (24914)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)
% 0.23/0.54 % (24933)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)
% 0.23/0.54 % (24941)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)
% 0.23/0.54 % (24939)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)
% 0.23/0.54 % (24935)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)
% 0.23/0.54 % (24913)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)
% 0.23/0.54 % (24917)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)
% 0.23/0.54 % (24913)Instruction limit reached!
% 0.23/0.54 % (24913)------------------------------
% 0.23/0.54 % (24913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.54 % (24913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.54 % (24913)Termination reason: Unknown
% 0.23/0.54 % (24913)Termination phase: Saturation
% 0.23/0.54
% 0.23/0.54 % (24913)Memory used [KB]: 1535
% 0.23/0.54 % (24913)Time elapsed: 0.003 s
% 0.23/0.54 % (24913)Instructions burned: 4 (million)
% 0.23/0.54 % (24913)------------------------------
% 0.23/0.54 % (24913)------------------------------
% 0.23/0.54 % (24929)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)
% 0.23/0.55 % (24912)Instruction limit reached!
% 0.23/0.55 % (24912)------------------------------
% 0.23/0.55 % (24912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.55 % (24912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.55 % (24912)Termination reason: Unknown
% 0.23/0.55 % (24912)Termination phase: Saturation
% 0.23/0.55
% 0.23/0.55 % (24912)Memory used [KB]: 6268
% 0.23/0.55 % (24912)Time elapsed: 0.132 s
% 0.23/0.55 % (24912)Instructions burned: 14 (million)
% 0.23/0.55 % (24912)------------------------------
% 0.23/0.55 % (24912)------------------------------
% 0.23/0.55 % (24929)Instruction limit reached!
% 0.23/0.55 % (24929)------------------------------
% 0.23/0.55 % (24929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.55 % (24938)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)
% 0.23/0.55 % (24929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.55 % (24929)Termination reason: Unknown
% 0.23/0.55 % (24929)Termination phase: Preprocessing 3
% 0.23/0.55
% 0.23/0.55 % (24929)Memory used [KB]: 1535
% 0.23/0.55 % (24929)Time elapsed: 0.004 s
% 0.23/0.55 % (24929)Instructions burned: 3 (million)
% 0.23/0.55 % (24929)------------------------------
% 0.23/0.55 % (24929)------------------------------
% 0.23/0.55 % (24921)Instruction limit reached!
% 0.23/0.55 % (24921)------------------------------
% 0.23/0.55 % (24921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.55 % (24921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.55 % (24921)Termination reason: Unknown
% 0.23/0.55 % (24921)Termination phase: Saturation
% 0.23/0.55
% 0.23/0.55 % (24921)Memory used [KB]: 6268
% 0.23/0.55 % (24921)Time elapsed: 0.130 s
% 0.23/0.55 % (24921)Instructions burned: 13 (million)
% 0.23/0.55 % (24921)------------------------------
% 0.23/0.55 % (24921)------------------------------
% 0.23/0.55 % (24932)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)
% 0.23/0.55 % (24931)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)
% 0.23/0.56 % (24925)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)
% 0.23/0.56 % (24939)Instruction limit reached!
% 0.23/0.56 % (24939)------------------------------
% 0.23/0.56 % (24939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.56 % (24925)Instruction limit reached!
% 0.23/0.56 % (24925)------------------------------
% 0.23/0.56 % (24925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.56 % (24939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.56 % (24939)Termination reason: Unknown
% 0.23/0.56 % (24939)Termination phase: Saturation
% 0.23/0.56
% 0.23/0.56 % (24925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.56 % (24925)Termination reason: Unknown
% 0.23/0.56 % (24925)Termination phase: Preprocessing 3
% 0.23/0.56
% 0.23/0.56 % (24939)Memory used [KB]: 6140
% 0.23/0.56 % (24939)Time elapsed: 0.150 s
% 0.23/0.56 % (24939)Instructions burned: 8 (million)
% 0.23/0.56 % (24925)Memory used [KB]: 1535
% 0.23/0.56 % (24939)------------------------------
% 0.23/0.56 % (24939)------------------------------
% 0.23/0.56 % (24925)Time elapsed: 0.004 s
% 0.23/0.56 % (24925)Instructions burned: 3 (million)
% 0.23/0.56 % (24925)------------------------------
% 0.23/0.56 % (24925)------------------------------
% 0.23/0.56 % (24916)Instruction limit reached!
% 0.23/0.56 % (24916)------------------------------
% 0.23/0.56 % (24916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.56 % (24916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.56 % (24916)Termination reason: Unknown
% 0.23/0.56 % (24916)Termination phase: Saturation
% 0.23/0.56
% 0.23/0.56 % (24916)Memory used [KB]: 1791
% 0.23/0.56 % (24916)Time elapsed: 0.133 s
% 0.23/0.56 % (24916)Instructions burned: 16 (million)
% 0.23/0.56 % (24916)------------------------------
% 0.23/0.56 % (24916)------------------------------
% 0.23/0.56 % (24924)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)
% 0.23/0.56 % (24934)Instruction limit reached!
% 0.23/0.56 % (24934)------------------------------
% 0.23/0.56 % (24934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.56 % (24934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.56 % (24934)Termination reason: Unknown
% 0.23/0.56 % (24934)Termination phase: Saturation
% 0.23/0.56
% 0.23/0.56 % (24934)Memory used [KB]: 2174
% 0.23/0.56 % (24934)Time elapsed: 0.118 s
% 0.23/0.56 % (24934)Instructions burned: 46 (million)
% 0.23/0.56 % (24934)------------------------------
% 0.23/0.56 % (24934)------------------------------
% 0.23/0.57 % (24928)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.57 % (24918)Refutation not found, non-redundant clauses discarded% (24918)------------------------------
% 0.23/0.57 % (24918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.57 % (24918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.57 % (24918)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.23/0.57
% 0.23/0.57 % (24918)Memory used [KB]: 6524
% 0.23/0.57 % (24918)Time elapsed: 0.141 s
% 0.23/0.57 % (24918)Instructions burned: 34 (million)
% 0.23/0.57 % (24918)------------------------------
% 0.23/0.57 % (24918)------------------------------
% 0.23/0.57 % (24928)Instruction limit reached!
% 0.23/0.57 % (24928)------------------------------
% 0.23/0.57 % (24928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.57 % (24928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.57 % (24928)Termination reason: Unknown
% 0.23/0.57 % (24928)Termination phase: Property scanning
% 0.23/0.57
% 0.23/0.57 % (24928)Memory used [KB]: 1535
% 0.23/0.57 % (24928)Time elapsed: 0.003 s
% 0.23/0.57 % (24928)Instructions burned: 4 (million)
% 0.23/0.57 % (24928)------------------------------
% 0.23/0.57 % (24928)------------------------------
% 0.23/0.57 % (24936)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)
% 1.61/0.57 % (24937)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)
% 1.61/0.58 % (24920)Instruction limit reached!
% 1.61/0.58 % (24920)------------------------------
% 1.61/0.58 % (24920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.59 % (24941)Instruction limit reached!
% 1.61/0.59 % (24941)------------------------------
% 1.61/0.59 % (24941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.59 % (24920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.59 % (24920)Termination reason: Unknown
% 1.61/0.59 % (24920)Termination phase: Saturation
% 1.61/0.59
% 1.61/0.59 % (24920)Memory used [KB]: 6524
% 1.61/0.59 % (24920)Time elapsed: 0.123 s
% 1.61/0.59 % (24920)Instructions burned: 33 (million)
% 1.61/0.59 % (24920)------------------------------
% 1.61/0.59 % (24920)------------------------------
% 1.61/0.59 % (24931)Instruction limit reached!
% 1.61/0.59 % (24931)------------------------------
% 1.61/0.59 % (24931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (24917)Instruction limit reached!
% 1.80/0.59 % (24917)------------------------------
% 1.80/0.59 % (24917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (24917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59 % (24917)Termination reason: Unknown
% 1.80/0.59 % (24917)Termination phase: Saturation
% 1.80/0.59
% 1.80/0.59 % (24917)Memory used [KB]: 6524
% 1.80/0.59 % (24917)Time elapsed: 0.169 s
% 1.80/0.59 % (24917)Instructions burned: 39 (million)
% 1.80/0.59 % (24917)------------------------------
% 1.80/0.59 % (24917)------------------------------
% 1.80/0.59 % (24941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59 % (24941)Termination reason: Unknown
% 1.80/0.59 % (24941)Termination phase: Saturation
% 1.80/0.59
% 1.80/0.59 % (24941)Memory used [KB]: 6268
% 1.80/0.59 % (24941)Time elapsed: 0.183 s
% 1.80/0.59 % (24941)Instructions burned: 25 (million)
% 1.80/0.59 % (24941)------------------------------
% 1.80/0.59 % (24941)------------------------------
% 1.80/0.60 % (24938)Instruction limit reached!
% 1.80/0.60 % (24938)------------------------------
% 1.80/0.60 % (24938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60 % (24938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (24938)Termination reason: Unknown
% 1.80/0.60 % (24938)Termination phase: Saturation
% 1.80/0.60
% 1.80/0.60 % (24938)Memory used [KB]: 6524
% 1.80/0.60 % (24938)Time elapsed: 0.162 s
% 1.80/0.60 % (24938)Instructions burned: 25 (million)
% 1.80/0.60 % (24938)------------------------------
% 1.80/0.60 % (24938)------------------------------
% 1.80/0.60 % (24914)Refutation not found, non-redundant clauses discarded% (24914)------------------------------
% 1.80/0.60 % (24914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60 % (24914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (24914)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.80/0.60
% 1.80/0.60 % (24914)Memory used [KB]: 6652
% 1.80/0.60 % (24914)Time elapsed: 0.187 s
% 1.80/0.60 % (24914)Instructions burned: 48 (million)
% 1.80/0.60 % (24914)------------------------------
% 1.80/0.60 % (24914)------------------------------
% 1.80/0.61 % (24931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (24931)Termination reason: Unknown
% 1.80/0.61 % (24931)Termination phase: Saturation
% 1.80/0.61
% 1.80/0.61 % (24931)Memory used [KB]: 6396
% 1.80/0.61 % (24931)Time elapsed: 0.173 s
% 1.80/0.61 % (24931)Instructions burned: 31 (million)
% 1.80/0.61 % (24931)------------------------------
% 1.80/0.61 % (24931)------------------------------
% 1.80/0.61 % (24919)Instruction limit reached!
% 1.80/0.61 % (24919)------------------------------
% 1.80/0.61 % (24919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (24919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (24919)Termination reason: Unknown
% 1.80/0.61 % (24919)Termination phase: Saturation
% 1.80/0.61
% 1.80/0.61 % (24919)Memory used [KB]: 6908
% 1.80/0.61 % (24919)Time elapsed: 0.181 s
% 1.80/0.61 % (24919)Instructions burned: 49 (million)
% 1.80/0.61 % (24919)------------------------------
% 1.80/0.61 % (24919)------------------------------
% 1.80/0.63 % (25031)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 1.80/0.63 % (24924)Instruction limit reached!
% 1.80/0.63 % (24924)------------------------------
% 1.80/0.63 % (24924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63 % (24924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63 % (24924)Termination reason: Unknown
% 1.80/0.63 % (24924)Termination phase: Saturation
% 1.80/0.63
% 1.80/0.63 % (24924)Memory used [KB]: 7036
% 1.80/0.63 % (24924)Time elapsed: 0.207 s
% 1.80/0.63 % (24924)Instructions burned: 51 (million)
% 1.80/0.63 % (24924)------------------------------
% 1.80/0.63 % (24924)------------------------------
% 1.80/0.63 % (25022)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.80/0.63 % (25029)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)
% 1.80/0.63 % (25029)Instruction limit reached!
% 1.80/0.63 % (25029)------------------------------
% 1.80/0.63 % (25029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63 % (25029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63 % (25029)Termination reason: Unknown
% 1.80/0.63 % (25029)Termination phase: Saturation
% 1.80/0.63
% 1.80/0.63 % (25029)Memory used [KB]: 10618
% 1.80/0.63 % (25029)Time elapsed: 0.005 s
% 1.80/0.63 % (25029)Instructions burned: 7 (million)
% 1.80/0.63 % (25029)------------------------------
% 1.80/0.63 % (25029)------------------------------
% 1.80/0.64 % (24927)Instruction limit reached!
% 1.80/0.64 % (24927)------------------------------
% 1.80/0.64 % (24927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.64 % (24927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.64 % (24927)Termination reason: Unknown
% 1.80/0.64 % (24927)Termination phase: Saturation
% 1.80/0.64
% 1.80/0.64 % (24927)Memory used [KB]: 6396
% 1.80/0.64 % (24927)Time elapsed: 0.183 s
% 1.80/0.64 % (24927)Instructions burned: 50 (million)
% 1.80/0.64 % (24927)------------------------------
% 1.80/0.64 % (24927)------------------------------
% 1.80/0.64 % (24935)Instruction limit reached!
% 1.80/0.64 % (24935)------------------------------
% 1.80/0.64 % (24935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.64 % (24935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.64 % (24935)Termination reason: Unknown
% 1.80/0.64 % (24935)Termination phase: Saturation
% 1.80/0.64
% 1.80/0.64 % (24935)Memory used [KB]: 6780
% 1.80/0.64 % (24935)Time elapsed: 0.232 s
% 1.80/0.64 % (24935)Instructions burned: 50 (million)
% 1.80/0.64 % (24935)------------------------------
% 1.80/0.64 % (24935)------------------------------
% 2.12/0.67 % (25034)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.12/0.67 % (25055)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.12/0.67 % (25052)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.12/0.67 % (25044)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.12/0.68 % (25065)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/109Mi)
% 2.12/0.68 % (25062)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/93Mi)
% 2.12/0.68 % (25047)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.12/0.69 % (25051)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.12/0.69 % (24933)Instruction limit reached!
% 2.12/0.69 % (24933)------------------------------
% 2.12/0.69 % (24933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.69 % (24933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.69 % (24933)Termination reason: Unknown
% 2.12/0.69 % (24933)Termination phase: Saturation
% 2.12/0.69
% 2.12/0.69 % (24933)Memory used [KB]: 7931
% 2.12/0.69 % (24933)Time elapsed: 0.276 s
% 2.12/0.69 % (24933)Instructions burned: 83 (million)
% 2.12/0.69 % (24933)------------------------------
% 2.12/0.69 % (24933)------------------------------
% 2.12/0.69 % (25045)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.33/0.70 % (24911)First to succeed.
% 2.33/0.70 % (25058)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/131Mi)
% 2.33/0.71 % (24911)Refutation found. Thanks to Tanya!
% 2.33/0.71 % SZS status Theorem for theBenchmark
% 2.33/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.33/0.71 % (24911)------------------------------
% 2.33/0.71 % (24911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.71 % (24911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.71 % (24911)Termination reason: Refutation
% 2.33/0.71
% 2.33/0.71 % (24911)Memory used [KB]: 7036
% 2.33/0.71 % (24911)Time elapsed: 0.284 s
% 2.33/0.71 % (24911)Instructions burned: 97 (million)
% 2.33/0.71 % (24911)------------------------------
% 2.33/0.71 % (24911)------------------------------
% 2.33/0.71 % (24905)Success in time 0.346 s
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