TSTP Solution File: NUM514+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM514+3 : 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 : n025.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 : Tue Apr 30 14:30:19 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 76
% Syntax : Number of formulae : 204 ( 86 unt; 0 def)
% Number of atoms : 603 ( 218 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 567 ( 168 ~; 95 |; 239 &)
% ( 47 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 54 ( 52 usr; 48 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 17 con; 0-2 aty)
% Number of variables : 88 ( 39 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f629,plain,
$false,
inference(avatar_sat_refutation,[],[f402,f407,f412,f418,f423,f428,f433,f438,f443,f448,f453,f458,f463,f468,f473,f478,f483,f488,f493,f498,f503,f508,f513,f518,f522,f527,f533,f538,f543,f548,f553,f558,f563,f568,f573,f578,f583,f588,f593,f598,f603,f612,f617,f622,f627,f628]) ).
fof(f628,plain,
spl26_33,
inference(avatar_split_clause,[],[f252,f560]) ).
fof(f560,plain,
( spl26_33
<=> aNaturalNumber0(sdtsldt0(xk,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_33])]) ).
fof(f252,plain,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xk,xr)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2613) ).
fof(f627,plain,
~ spl26_46,
inference(avatar_split_clause,[],[f310,f624]) ).
fof(f624,plain,
( spl26_46
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_46])]) ).
fof(f310,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f622,plain,
~ spl26_45,
inference(avatar_split_clause,[],[f290,f619]) ).
fof(f619,plain,
( spl26_45
<=> sdtlseqdt0(xp,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_45])]) ).
fof(f290,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ~ sdtlseqdt0(xp,xn)
& ! [X0] :
( xn != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
~ ( sdtlseqdt0(xp,xn)
| ? [X0] :
( xn = sdtpldt0(xp,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
fof(f617,plain,
~ spl26_44,
inference(avatar_split_clause,[],[f288,f614]) ).
fof(f614,plain,
( spl26_44
<=> sdtlseqdt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_44])]) ).
fof(f288,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ~ sdtlseqdt0(xp,xm)
& ! [X0] :
( xm != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
~ ( sdtlseqdt0(xp,xm)
| ? [X0] :
( xm = sdtpldt0(xp,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2075) ).
fof(f612,plain,
( spl26_42
| spl26_43 ),
inference(avatar_split_clause,[],[f282,f609,f605]) ).
fof(f605,plain,
( spl26_42
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_42])]) ).
fof(f609,plain,
( spl26_43
<=> aNaturalNumber0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_43])]) ).
fof(f282,plain,
( aNaturalNumber0(sK17)
| sP0 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( doDivides0(xr,xm)
& xm = sdtasdt0(xr,sK17)
& aNaturalNumber0(sK17) )
| sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f144,f173]) ).
fof(f173,plain,
( ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
=> ( xm = sdtasdt0(xr,sK17)
& aNaturalNumber0(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ( doDivides0(xr,xm)
& ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) )
| sP0 ),
inference(definition_folding,[],[f62,f143]) ).
fof(f143,plain,
( ( doDivides0(xr,xn)
& ? [X1] :
( xn = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f62,plain,
( ( doDivides0(xr,xm)
& ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) )
| ( doDivides0(xr,xn)
& ? [X1] :
( xn = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) ) ) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
( ( doDivides0(xr,xm)
& ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) )
| ( doDivides0(xr,xn)
& ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2449) ).
fof(f603,plain,
spl26_41,
inference(avatar_split_clause,[],[f278,f600]) ).
fof(f600,plain,
( spl26_41
<=> doDivides0(xr,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_41])]) ).
fof(f278,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( doDivides0(xr,xn)
& xn = sdtasdt0(xr,sK15)
& aNaturalNumber0(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f52,f167]) ).
fof(f167,plain,
( ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
=> ( xn = sdtasdt0(xr,sK15)
& aNaturalNumber0(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f52,axiom,
( doDivides0(xr,xn)
& ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
fof(f598,plain,
spl26_40,
inference(avatar_split_clause,[],[f251,f595]) ).
fof(f595,plain,
( spl26_40
<=> sdtlseqdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_40])]) ).
fof(f251,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( sdtlseqdt0(xm,xp)
& xp = sdtpldt0(xm,sK10)
& aNaturalNumber0(sK10)
& xm != xp
& sdtlseqdt0(xn,xp)
& xp = sdtpldt0(xn,sK11)
& aNaturalNumber0(sK11)
& xn != xp ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f60,f160,f159]) ).
fof(f159,plain,
( ? [X0] :
( xp = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) )
=> ( xp = sdtpldt0(xm,sK10)
& aNaturalNumber0(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( ? [X1] :
( xp = sdtpldt0(xn,X1)
& aNaturalNumber0(X1) )
=> ( xp = sdtpldt0(xn,sK11)
& aNaturalNumber0(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( sdtlseqdt0(xm,xp)
& ? [X0] :
( xp = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) )
& xm != xp
& sdtlseqdt0(xn,xp)
& ? [X1] :
( xp = sdtpldt0(xn,X1)
& aNaturalNumber0(X1) )
& xn != xp ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& ? [X0] :
( xp = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) )
& xm != xp
& sdtlseqdt0(xn,xp)
& ? [X0] :
( xp = sdtpldt0(xn,X0)
& aNaturalNumber0(X0) )
& xn != xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
fof(f593,plain,
~ spl26_39,
inference(avatar_split_clause,[],[f248,f590]) ).
fof(f590,plain,
( spl26_39
<=> xm = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl26_39])]) ).
fof(f248,plain,
xm != xp,
inference(cnf_transformation,[],[f161]) ).
fof(f588,plain,
spl26_38,
inference(avatar_split_clause,[],[f247,f585]) ).
fof(f585,plain,
( spl26_38
<=> sdtlseqdt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_38])]) ).
fof(f247,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f161]) ).
fof(f583,plain,
~ spl26_37,
inference(avatar_split_clause,[],[f244,f580]) ).
fof(f580,plain,
( spl26_37
<=> xn = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl26_37])]) ).
fof(f244,plain,
xn != xp,
inference(cnf_transformation,[],[f161]) ).
fof(f578,plain,
spl26_36,
inference(avatar_split_clause,[],[f243,f575]) ).
fof(f575,plain,
( spl26_36
<=> sdtlseqdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_36])]) ).
fof(f243,plain,
sdtlseqdt0(xk,xp),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( sdtlseqdt0(xk,xp)
& xp = sdtpldt0(xk,sK9)
& aNaturalNumber0(sK9)
& xp != xk ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f50,f157]) ).
fof(f157,plain,
( ? [X0] :
( xp = sdtpldt0(xk,X0)
& aNaturalNumber0(X0) )
=> ( xp = sdtpldt0(xk,sK9)
& aNaturalNumber0(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f50,axiom,
( sdtlseqdt0(xk,xp)
& ? [X0] :
( xp = sdtpldt0(xk,X0)
& aNaturalNumber0(X0) )
& xp != xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2377) ).
fof(f573,plain,
~ spl26_35,
inference(avatar_split_clause,[],[f240,f570]) ).
fof(f570,plain,
( spl26_35
<=> xp = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl26_35])]) ).
fof(f240,plain,
xp != xk,
inference(cnf_transformation,[],[f158]) ).
fof(f568,plain,
~ spl26_34,
inference(avatar_split_clause,[],[f233,f565]) ).
fof(f565,plain,
( spl26_34
<=> sz10 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl26_34])]) ).
fof(f233,plain,
sz10 != xp,
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK8)
& aNaturalNumber0(sK8)
& isPrime0(xp)
& ! [X1] :
( xp = X1
| sz10 = X1
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1) )
& sz10 != xp
& sz00 != xp ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f71,f155]) ).
fof(f155,plain,
( ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xp,sK8)
& aNaturalNumber0(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X1] :
( xp = X1
| sz10 = X1
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1) )
& sz10 != xp
& sz00 != xp ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X1] :
( xp = X1
| sz10 = X1
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1) )
& sz10 != xp
& sz00 != xp ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X1] :
( ( ( doDivides0(X1,xp)
| ? [X2] :
( sdtasdt0(X1,X2) = xp
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( xp = X1
| sz10 = X1 ) )
& sz10 != xp
& sz00 != xp ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X0] :
( ( ( doDivides0(X0,xp)
| ? [X1] :
( sdtasdt0(X0,X1) = xp
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xp = X0
| sz10 = X0 ) )
& sz10 != xp
& sz00 != xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f563,plain,
( ~ spl26_33
| ~ spl26_26 ),
inference(avatar_split_clause,[],[f528,f525,f560]) ).
fof(f525,plain,
( spl26_26
<=> ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,sdtsldt0(xk,xr))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).
fof(f528,plain,
( ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ spl26_26 ),
inference(equality_resolution,[],[f526]) ).
fof(f526,plain,
( ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,sdtsldt0(xk,xr))
| ~ aNaturalNumber0(X0) )
| ~ spl26_26 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f558,plain,
~ spl26_32,
inference(avatar_split_clause,[],[f232,f555]) ).
fof(f555,plain,
( spl26_32
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl26_32])]) ).
fof(f232,plain,
sz00 != xp,
inference(cnf_transformation,[],[f156]) ).
fof(f553,plain,
~ spl26_31,
inference(avatar_split_clause,[],[f231,f550]) ).
fof(f550,plain,
( spl26_31
<=> sz10 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl26_31])]) ).
fof(f231,plain,
sz10 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( sz10 != xk
& sz00 != xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2327) ).
fof(f548,plain,
~ spl26_30,
inference(avatar_split_clause,[],[f230,f545]) ).
fof(f545,plain,
( spl26_30
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl26_30])]) ).
fof(f230,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f543,plain,
~ spl26_29,
inference(avatar_split_clause,[],[f226,f540]) ).
fof(f540,plain,
( spl26_29
<=> sz10 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl26_29])]) ).
fof(f226,plain,
sz10 != xr,
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( isPrime0(xr)
& ! [X0] :
( xr = X0
| sz10 = X0
| ( ~ doDivides0(X0,xr)
& ! [X1] :
( sdtasdt0(X0,X1) != xr
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& xk = sdtasdt0(xr,sK7)
& aNaturalNumber0(sK7)
& aNaturalNumber0(xr) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f69,f153]) ).
fof(f153,plain,
( ? [X2] :
( xk = sdtasdt0(xr,X2)
& aNaturalNumber0(X2) )
=> ( xk = sdtasdt0(xr,sK7)
& aNaturalNumber0(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( isPrime0(xr)
& ! [X0] :
( xr = X0
| sz10 = X0
| ( ~ doDivides0(X0,xr)
& ! [X1] :
( sdtasdt0(X0,X1) != xr
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& ? [X2] :
( xk = sdtasdt0(xr,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(xr) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
( isPrime0(xr)
& ! [X0] :
( xr = X0
| sz10 = X0
| ( ~ doDivides0(X0,xr)
& ! [X1] :
( sdtasdt0(X0,X1) != xr
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& ? [X2] :
( xk = sdtasdt0(xr,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(xr) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
( isPrime0(xr)
& ! [X0] :
( ( ( doDivides0(X0,xr)
| ? [X1] :
( sdtasdt0(X0,X1) = xr
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xr = X0
| sz10 = X0 ) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& ? [X2] :
( xk = sdtasdt0(xr,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(xr) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
( isPrime0(xr)
& ! [X0] :
( ( ( doDivides0(X0,xr)
| ? [X1] :
( sdtasdt0(X0,X1) = xr
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xr = X0
| sz10 = X0 ) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f538,plain,
~ spl26_28,
inference(avatar_split_clause,[],[f225,f535]) ).
fof(f535,plain,
( spl26_28
<=> sz00 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl26_28])]) ).
fof(f225,plain,
sz00 != xr,
inference(cnf_transformation,[],[f154]) ).
fof(f533,plain,
spl26_27,
inference(avatar_split_clause,[],[f224,f530]) ).
fof(f530,plain,
( spl26_27
<=> doDivides0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_27])]) ).
fof(f224,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f154]) ).
fof(f527,plain,
( spl26_26
| ~ spl26_25 ),
inference(avatar_split_clause,[],[f523,f520,f525]) ).
fof(f520,plain,
( spl26_25
<=> ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_25])]) ).
fof(f523,plain,
( ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,sdtsldt0(xk,xr))
| ~ aNaturalNumber0(X0) )
| ~ spl26_25 ),
inference(forward_demodulation,[],[f521,f256]) ).
fof(f256,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f521,plain,
( ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) )
| ~ spl26_25 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f522,plain,
spl26_25,
inference(avatar_split_clause,[],[f213,f520]) ).
fof(f213,plain,
! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,negated_conjecture,
~ ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ? [X0] :
( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm)
& aNaturalNumber0(X0) ) ) ),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ? [X0] :
( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f518,plain,
~ spl26_24,
inference(avatar_split_clause,[],[f381,f515]) ).
fof(f515,plain,
( spl26_24
<=> sP5(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_24])]) ).
fof(f381,plain,
~ sP5(sz00),
inference(equality_resolution,[],[f324]) ).
fof(f324,plain,
! [X0] :
( sz00 != X0
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ( sP5(X0)
| ( sK22(X0) != X0
& sz10 != sK22(X0)
& doDivides0(sK22(X0),X0)
& aNaturalNumber0(sK22(X0)) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP5(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f194,f195]) ).
fof(f195,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( sK22(X0) != X0
& sz10 != sK22(X0)
& doDivides0(sK22(X0),X0)
& aNaturalNumber0(sK22(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
! [X0] :
( ( sP5(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP5(X0) ) ),
inference(rectify,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ( sP5(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP5(X0) ) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ( sP5(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP5(X0) ) ),
inference(nnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( sP5(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f513,plain,
~ spl26_23,
inference(avatar_split_clause,[],[f380,f510]) ).
fof(f510,plain,
( spl26_23
<=> sP5(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_23])]) ).
fof(f380,plain,
~ sP5(sz10),
inference(equality_resolution,[],[f325]) ).
fof(f325,plain,
! [X0] :
( sz10 != X0
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f508,plain,
spl26_22,
inference(avatar_split_clause,[],[f309,f505]) ).
fof(f505,plain,
( spl26_22
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_22])]) ).
fof(f309,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f503,plain,
spl26_21,
inference(avatar_split_clause,[],[f308,f500]) ).
fof(f500,plain,
( spl26_21
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f308,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f498,plain,
spl26_20,
inference(avatar_split_clause,[],[f276,f495]) ).
fof(f495,plain,
( spl26_20
<=> aNaturalNumber0(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f276,plain,
aNaturalNumber0(sK15),
inference(cnf_transformation,[],[f168]) ).
fof(f493,plain,
spl26_19,
inference(avatar_split_clause,[],[f273,f490]) ).
fof(f490,plain,
( spl26_19
<=> aNaturalNumber0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f273,plain,
aNaturalNumber0(sK13),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xr,sK13)
& aNaturalNumber0(sK13)
& xk = sdtpldt0(xr,sK14)
& aNaturalNumber0(sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f61,f165,f164]) ).
fof(f164,plain,
( ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xr,sK13)
& aNaturalNumber0(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
( ? [X1] :
( xk = sdtpldt0(xr,X1)
& aNaturalNumber0(X1) )
=> ( xk = sdtpldt0(xr,sK14)
& aNaturalNumber0(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& ? [X1] :
( xk = sdtpldt0(xr,X1)
& aNaturalNumber0(X1) ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& ? [X0] :
( xk = sdtpldt0(xr,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2362) ).
fof(f488,plain,
spl26_18,
inference(avatar_split_clause,[],[f271,f485]) ).
fof(f485,plain,
( spl26_18
<=> aNaturalNumber0(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).
fof(f271,plain,
aNaturalNumber0(sK14),
inference(cnf_transformation,[],[f166]) ).
fof(f483,plain,
spl26_17,
inference(avatar_split_clause,[],[f268,f480]) ).
fof(f480,plain,
( spl26_17
<=> aNaturalNumber0(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).
fof(f268,plain,
aNaturalNumber0(sK12),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& xn = sdtpldt0(sdtsldt0(xn,xr),sK12)
& aNaturalNumber0(sK12)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn != sdtsldt0(xn,xr)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f73,f162]) ).
fof(f162,plain,
( ? [X0] :
( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
& aNaturalNumber0(X0) )
=> ( xn = sdtpldt0(sdtsldt0(xn,xr),sK12)
& aNaturalNumber0(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& ? [X0] :
( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
& aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn != sdtsldt0(xn,xr)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& ? [X0] :
( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
& aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn != sdtsldt0(xn,xr)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& ? [X0] :
( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
& aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& ~ ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> xn = sdtsldt0(xn,xr) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2504) ).
fof(f478,plain,
spl26_16,
inference(avatar_split_clause,[],[f249,f475]) ).
fof(f475,plain,
( spl26_16
<=> aNaturalNumber0(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).
fof(f249,plain,
aNaturalNumber0(sK10),
inference(cnf_transformation,[],[f161]) ).
fof(f473,plain,
spl26_15,
inference(avatar_split_clause,[],[f245,f470]) ).
fof(f470,plain,
( spl26_15
<=> aNaturalNumber0(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f245,plain,
aNaturalNumber0(sK11),
inference(cnf_transformation,[],[f161]) ).
fof(f468,plain,
spl26_14,
inference(avatar_split_clause,[],[f241,f465]) ).
fof(f465,plain,
( spl26_14
<=> aNaturalNumber0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).
fof(f241,plain,
aNaturalNumber0(sK9),
inference(cnf_transformation,[],[f158]) ).
fof(f463,plain,
spl26_13,
inference(avatar_split_clause,[],[f237,f460]) ).
fof(f460,plain,
( spl26_13
<=> aNaturalNumber0(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f237,plain,
aNaturalNumber0(sK8),
inference(cnf_transformation,[],[f156]) ).
fof(f458,plain,
spl26_12,
inference(avatar_split_clause,[],[f236,f455]) ).
fof(f455,plain,
( spl26_12
<=> isPrime0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f236,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f156]) ).
fof(f453,plain,
spl26_11,
inference(avatar_split_clause,[],[f229,f450]) ).
fof(f450,plain,
( spl26_11
<=> isPrime0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f229,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f154]) ).
fof(f448,plain,
spl26_10,
inference(avatar_split_clause,[],[f222,f445]) ).
fof(f445,plain,
( spl26_10
<=> aNaturalNumber0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).
fof(f222,plain,
aNaturalNumber0(sK7),
inference(cnf_transformation,[],[f154]) ).
fof(f443,plain,
spl26_9,
inference(avatar_split_clause,[],[f221,f440]) ).
fof(f440,plain,
( spl26_9
<=> aNaturalNumber0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).
fof(f221,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f154]) ).
fof(f438,plain,
spl26_8,
inference(avatar_split_clause,[],[f220,f435]) ).
fof(f435,plain,
( spl26_8
<=> aNaturalNumber0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).
fof(f220,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f433,plain,
spl26_7,
inference(avatar_split_clause,[],[f219,f430]) ).
fof(f430,plain,
( spl26_7
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f219,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f428,plain,
spl26_6,
inference(avatar_split_clause,[],[f218,f425]) ).
fof(f425,plain,
( spl26_6
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f218,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f423,plain,
spl26_5,
inference(avatar_split_clause,[],[f215,f420]) ).
fof(f420,plain,
( spl26_5
<=> aNaturalNumber0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f215,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& aNaturalNumber0(xk) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f418,plain,
( ~ spl26_4
| spl26_3 ),
inference(avatar_split_clause,[],[f413,f409,f415]) ).
fof(f415,plain,
( spl26_4
<=> doDivides0(xp,sdtasdt0(xp,sdtsldt0(xk,xr))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f409,plain,
( spl26_3
<=> doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f413,plain,
( ~ doDivides0(xp,sdtasdt0(xp,sdtsldt0(xk,xr)))
| spl26_3 ),
inference(forward_demodulation,[],[f411,f256]) ).
fof(f411,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| spl26_3 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f412,plain,
~ spl26_3,
inference(avatar_split_clause,[],[f214,f409]) ).
fof(f214,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f67]) ).
fof(f407,plain,
spl26_2,
inference(avatar_split_clause,[],[f212,f404]) ).
fof(f404,plain,
( spl26_2
<=> xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f212,plain,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f67]) ).
fof(f402,plain,
spl26_1,
inference(avatar_split_clause,[],[f211,f399]) ).
fof(f399,plain,
( spl26_1
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f211,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n025.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 00:13:41 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.32 % (18719)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (18722)WARNING: value z3 for option sas not known
% 0.11/0.33 % (18723)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.33 % (18720)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.33 % (18721)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.33 % (18726)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)
% 0.11/0.33 % (18722)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)
% 0.11/0.33 % (18725)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)
% 0.11/0.33 % (18724)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)
% 0.11/0.34 % (18724)First to succeed.
% 0.11/0.34 % (18725)Also succeeded, but the first one will report.
% 0.11/0.34 % (18724)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (18724)------------------------------
% 0.11/0.35 % (18724)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35 % (18724)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (18724)Memory used [KB]: 1069
% 0.11/0.35 % (18724)Time elapsed: 0.011 s
% 0.11/0.35 % (18724)Instructions burned: 19 (million)
% 0.11/0.35 % (18724)------------------------------
% 0.11/0.35 % (18724)------------------------------
% 0.11/0.35 % (18719)Success in time 0.028 s
%------------------------------------------------------------------------------