TSTP Solution File: NUM471+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM471+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Sun May 5 08:29:28 EDT 2024
% Result : Theorem 25.59s 4.01s
% Output : Refutation 25.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 87 ( 21 unt; 0 def)
% Number of atoms : 308 ( 90 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 383 ( 162 ~; 157 |; 47 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 101 ( 93 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16224,plain,
$false,
inference(subsumption_resolution,[],[f16223,f123]) ).
fof(f123,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(f16223,plain,
~ aNaturalNumber0(xm),
inference(subsumption_resolution,[],[f16220,f124]) ).
fof(f124,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f16220,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f16219,f1287]) ).
fof(f1287,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f194,f145]) ).
fof(f145,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f194,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f171]) ).
fof(f171,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtpldt0(X0,sK3(X0,X1)) = X1
& aNaturalNumber0(sK3(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f110,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK3(X0,X1)) = X1
& aNaturalNumber0(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f16219,plain,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(subsumption_resolution,[],[f16218,f123]) ).
fof(f16218,plain,
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f16217,f323]) ).
fof(f323,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(subsumption_resolution,[],[f322,f122]) ).
fof(f122,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f322,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f305,f119]) ).
fof(f119,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( xq = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
& aNaturalNumber0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1379) ).
fof(f305,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f146,f120]) ).
fof(f120,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(cnf_transformation,[],[f38]) ).
fof(f146,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f16217,plain,
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f16210,f9539]) ).
fof(f9539,plain,
xm != sdtpldt0(xm,xn),
inference(subsumption_resolution,[],[f9538,f119]) ).
fof(f9538,plain,
( xm != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(xq) ),
inference(subsumption_resolution,[],[f9530,f226]) ).
fof(f226,plain,
xp != xq,
inference(subsumption_resolution,[],[f225,f131]) ).
fof(f131,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f225,plain,
( xp != xq
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f113,f221]) ).
fof(f221,plain,
xp = sdtpldt0(xp,sz00),
inference(resolution,[],[f137,f116]) ).
fof(f116,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
( xp = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,xp)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1360) ).
fof(f137,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f113,plain,
! [X0] :
( xq != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ~ sdtlseqdt0(xp,xq)
& ! [X0] :
( xq != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ( sdtlseqdt0(xp,xq)
| ? [X0] :
( xq = sdtpldt0(xp,X0)
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
( sdtlseqdt0(xp,xq)
| ? [X0] :
( xq = sdtpldt0(xp,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f9530,plain,
( xm != sdtpldt0(xm,xn)
| xp = xq
| ~ aNaturalNumber0(xq) ),
inference(superposition,[],[f3798,f120]) ).
fof(f3798,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| xp = X0
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f3797,f122]) ).
fof(f3797,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| xp = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f3796,f115]) ).
fof(f115,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
sz00 != xl,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1347) ).
fof(f3796,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| xp = X0
| ~ aNaturalNumber0(X0)
| sz00 = xl
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f3640,f116]) ).
fof(f3640,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| xp = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sz00 = xl
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f143,f117]) ).
fof(f117,plain,
xm = sdtasdt0(xl,xp),
inference(cnf_transformation,[],[f37]) ).
fof(f143,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != X0
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(f16210,plain,
( xm = sdtpldt0(xm,xn)
| ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f16200,f165]) ).
fof(f165,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f16200,plain,
sdtlseqdt0(sdtpldt0(xm,xn),xm),
inference(subsumption_resolution,[],[f16199,f119]) ).
fof(f16199,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ aNaturalNumber0(xq) ),
inference(subsumption_resolution,[],[f16198,f226]) ).
fof(f16198,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| xp = xq
| ~ aNaturalNumber0(xq) ),
inference(subsumption_resolution,[],[f16186,f337]) ).
fof(f337,plain,
sdtlseqdt0(xq,xp),
inference(subsumption_resolution,[],[f336,f119]) ).
fof(f336,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq) ),
inference(subsumption_resolution,[],[f332,f116]) ).
fof(f332,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq) ),
inference(resolution,[],[f150,f114]) ).
fof(f114,plain,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f45]) ).
fof(f150,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f16186,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ sdtlseqdt0(xq,xp)
| xp = xq
| ~ aNaturalNumber0(xq) ),
inference(superposition,[],[f7001,f120]) ).
fof(f7001,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f7000,f122]) ).
fof(f7000,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f6999,f116]) ).
fof(f6999,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f6645,f115]) ).
fof(f6645,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = xl
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f177,f117]) ).
fof(f177,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& sz00 != X0 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM471+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 14:12:57 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (29704)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (29706)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (29707)WARNING: value z3 for option sas not known
% 0.12/0.35 % (29709)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.36 % (29708)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (29707)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (29705)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 % (29711)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.36 % (29710)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [3]
% 0.12/0.37 TRYING [4]
% 0.12/0.38 TRYING [4]
% 0.18/0.42 TRYING [1]
% 0.18/0.42 TRYING [2]
% 0.18/0.42 TRYING [3]
% 0.18/0.43 TRYING [5]
% 0.18/0.43 TRYING [4]
% 0.18/0.44 TRYING [5]
% 0.18/0.49 TRYING [5]
% 0.18/0.60 TRYING [6]
% 2.12/0.64 TRYING [6]
% 2.33/0.66 TRYING [6]
% 5.12/1.07 TRYING [7]
% 5.12/1.12 TRYING [7]
% 6.07/1.21 TRYING [7]
% 12.81/2.18 TRYING [8]
% 14.16/2.37 TRYING [8]
% 14.31/2.39 TRYING [8]
% 25.33/4.00 % (29707)First to succeed.
% 25.59/4.00 % (29707)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29704"
% 25.59/4.01 % (29707)Refutation found. Thanks to Tanya!
% 25.59/4.01 % SZS status Theorem for theBenchmark
% 25.59/4.01 % SZS output start Proof for theBenchmark
% See solution above
% 25.59/4.02 % (29707)------------------------------
% 25.59/4.02 % (29707)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 25.59/4.02 % (29707)Termination reason: Refutation
% 25.59/4.02
% 25.59/4.02 % (29707)Memory used [KB]: 86810
% 25.59/4.02 % (29707)Time elapsed: 3.645 s
% 25.59/4.02 % (29707)Instructions burned: 5838 (million)
% 25.59/4.02 % (29704)Success in time 3.663 s
%------------------------------------------------------------------------------