TSTP Solution File: NUM518+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM518+3 : 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 : n027.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 18:00:18 EDT 2022
% Result : Theorem 2.14s 0.66s
% Output : Refutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 108 ( 17 unt; 0 def)
% Number of atoms : 430 ( 118 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 487 ( 165 ~; 157 |; 142 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 76 ( 46 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2637,plain,
$false,
inference(avatar_sat_refutation,[],[f488,f490,f495,f500,f520,f526,f530,f1068,f2626]) ).
fof(f2626,plain,
( ~ spl27_13
| ~ spl27_15
| ~ spl27_20
| spl27_35 ),
inference(avatar_contradiction_clause,[],[f2625]) ).
fof(f2625,plain,
( $false
| ~ spl27_13
| ~ spl27_15
| ~ spl27_20
| spl27_35 ),
inference(subsumption_resolution,[],[f2624,f565]) ).
fof(f565,plain,
( sdtlseqdt0(sF26(sK10),xn)
| ~ spl27_15 ),
inference(backward_demodulation,[],[f287,f562]) ).
fof(f562,plain,
( sdtsldt0(xn,xr) = sF26(sK10)
| ~ spl27_15 ),
inference(forward_demodulation,[],[f499,f421]) ).
fof(f421,plain,
! [X0] : sdtasdt0(xp,X0) = sF26(X0),
introduced(function_definition,[]) ).
fof(f499,plain,
( sdtsldt0(xn,xr) = sdtasdt0(xp,sK10)
| ~ spl27_15 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f497,plain,
( spl27_15
<=> sdtsldt0(xn,xr) = sdtasdt0(xp,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_15])]) ).
fof(f287,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( xn = sdtpldt0(sdtsldt0(xn,xr),sK9)
& aNaturalNumber0(sK9)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtlseqdt0(sdtsldt0(xn,xr),xn)
& xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f137,f185]) ).
fof(f185,plain,
( ? [X0] :
( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
& aNaturalNumber0(X0) )
=> ( xn = sdtpldt0(sdtsldt0(xn,xr),sK9)
& aNaturalNumber0(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X0] :
( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
& aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtlseqdt0(sdtsldt0(xn,xr),xn)
& xn != sdtsldt0(xn,xr)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
( ? [X0] :
( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
& aNaturalNumber0(X0) )
& xn != sdtsldt0(xn,xr)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& sdtlseqdt0(sdtsldt0(xn,xr),xn)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
( ? [X0] :
( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
& aNaturalNumber0(X0) )
& ~ ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> xn = sdtsldt0(xn,xr) )
& sdtlseqdt0(sdtsldt0(xn,xr),xn)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2504) ).
fof(f2624,plain,
( ~ sdtlseqdt0(sF26(sK10),xn)
| ~ spl27_13
| ~ spl27_15
| ~ spl27_20
| spl27_35 ),
inference(subsumption_resolution,[],[f2606,f569]) ).
fof(f569,plain,
( aNaturalNumber0(sF26(sK10))
| ~ spl27_15
| ~ spl27_20 ),
inference(backward_demodulation,[],[f524,f562]) ).
fof(f524,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl27_20 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f522,plain,
( spl27_20
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_20])]) ).
fof(f2606,plain,
( ~ aNaturalNumber0(sF26(sK10))
| ~ sdtlseqdt0(sF26(sK10),xn)
| ~ spl27_13
| ~ spl27_15
| ~ spl27_20
| spl27_35 ),
inference(resolution,[],[f2537,f1229]) ).
fof(f1229,plain,
( sdtlseqdt0(xp,sF26(sK10))
| ~ spl27_13
| ~ spl27_15
| ~ spl27_20
| spl27_35 ),
inference(subsumption_resolution,[],[f1228,f879]) ).
fof(f879,plain,
( sz00 != sF26(sK10)
| spl27_35 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f878,plain,
( spl27_35
<=> sz00 = sF26(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_35])]) ).
fof(f1228,plain,
( sdtlseqdt0(xp,sF26(sK10))
| sz00 = sF26(sK10)
| ~ spl27_13
| ~ spl27_15
| ~ spl27_20 ),
inference(subsumption_resolution,[],[f1227,f569]) ).
fof(f1227,plain,
( ~ aNaturalNumber0(sF26(sK10))
| sz00 = sF26(sK10)
| sdtlseqdt0(xp,sF26(sK10))
| ~ spl27_13
| ~ spl27_15 ),
inference(subsumption_resolution,[],[f1213,f371]) ).
fof(f371,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f1213,plain,
( ~ aNaturalNumber0(xp)
| sdtlseqdt0(xp,sF26(sK10))
| sz00 = sF26(sK10)
| ~ aNaturalNumber0(sF26(sK10))
| ~ spl27_13
| ~ spl27_15 ),
inference(resolution,[],[f291,f568]) ).
fof(f568,plain,
( doDivides0(xp,sF26(sK10))
| ~ spl27_13
| ~ spl27_15 ),
inference(backward_demodulation,[],[f487,f562]) ).
fof(f487,plain,
( doDivides0(xp,sdtsldt0(xn,xr))
| ~ spl27_13 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f485,plain,
( spl27_13
<=> doDivides0(xp,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).
fof(f291,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( sz00 = X1
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X1 )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f2537,plain,
! [X17] :
( ~ sdtlseqdt0(xp,X17)
| ~ aNaturalNumber0(X17)
| ~ sdtlseqdt0(X17,xn) ),
inference(subsumption_resolution,[],[f2536,f371]) ).
fof(f2536,plain,
! [X17] :
( ~ aNaturalNumber0(X17)
| ~ sdtlseqdt0(X17,xn)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,X17) ),
inference(subsumption_resolution,[],[f2507,f370]) ).
fof(f370,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f2507,plain,
! [X17] :
( ~ aNaturalNumber0(X17)
| ~ sdtlseqdt0(xp,X17)
| ~ sdtlseqdt0(X17,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f274,f389]) ).
fof(f389,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ~ sdtlseqdt0(xp,xn)
& ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(xp,X0) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
~ ( sdtlseqdt0(xp,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtpldt0(xp,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f274,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X2,X1) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
! [X2,X1,X0] :
( ~ sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X2,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X2,X1] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X0,X2) )
=> sdtlseqdt0(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0,X2,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f1068,plain,
( ~ spl27_6
| ~ spl27_15
| ~ spl27_17
| ~ spl27_35 ),
inference(avatar_contradiction_clause,[],[f1067]) ).
fof(f1067,plain,
( $false
| ~ spl27_6
| ~ spl27_15
| ~ spl27_17
| ~ spl27_35 ),
inference(subsumption_resolution,[],[f1066,f253]) ).
fof(f253,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( doDivides0(xr,xk)
& xk = sdtasdt0(xr,sK6)
& aNaturalNumber0(sK6)
& sz10 != xr
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xr = X1
| ( ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) )
& ~ doDivides0(X1,xr) )
| sz10 = X1 )
& aNaturalNumber0(xr)
& isPrime0(xr)
& sz00 != xr ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f154,f173]) ).
fof(f173,plain,
( ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
=> ( xk = sdtasdt0(xr,sK6)
& aNaturalNumber0(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
( doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& sz10 != xr
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xr = X1
| ( ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) )
& ~ doDivides0(X1,xr) )
| sz10 = X1 )
& aNaturalNumber0(xr)
& isPrime0(xr)
& sz00 != xr ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
( sz00 != xr
& sz10 != xr
& isPrime0(xr)
& ! [X1] :
( sz10 = X1
| xr = X1
| ( ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) )
& ~ doDivides0(X1,xr) )
| ~ aNaturalNumber0(X1) )
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr)
& doDivides0(xr,xk) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
( sz00 != xr
& sz10 != xr
& isPrime0(xr)
& ! [X1] :
( ( ( doDivides0(X1,xr)
| ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = xr ) )
& aNaturalNumber0(X1) )
=> ( sz10 = X1
| xr = X1 ) )
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr)
& doDivides0(xr,xk) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& sz00 != xr
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& doDivides0(xr,xk)
& sz10 != xr
& ! [X0] :
( ( ( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(X0,X1) = xr )
| doDivides0(X0,xr) )
& aNaturalNumber0(X0) )
=> ( sz10 = X0
| xr = X0 ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f1066,plain,
( ~ aNaturalNumber0(xr)
| ~ spl27_6
| ~ spl27_15
| ~ spl27_17
| ~ spl27_35 ),
inference(subsumption_resolution,[],[f1056,f553]) ).
fof(f553,plain,
( sz00 != xn
| ~ spl27_17 ),
inference(subsumption_resolution,[],[f550,f508]) ).
fof(f508,plain,
( aNaturalNumber0(sz00)
| ~ spl27_17 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f507,plain,
( spl27_17
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_17])]) ).
fof(f550,plain,
( ~ aNaturalNumber0(sz00)
| sz00 != xn ),
inference(superposition,[],[f423,f548]) ).
fof(f548,plain,
sz00 = sF26(sz00),
inference(subsumption_resolution,[],[f546,f371]) ).
fof(f546,plain,
( sz00 = sF26(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f275,f421]) ).
fof(f275,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f423,plain,
! [X1] :
( xn != sF26(X1)
| ~ aNaturalNumber0(X1) ),
inference(definition_folding,[],[f327,f421]) ).
fof(f327,plain,
! [X1] :
( xn != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ~ doDivides0(xp,xn)
& ! [X0] :
( ~ aNaturalNumber0(X0)
| xm != sdtasdt0(xp,X0) )
& ! [X1] :
( xn != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1) )
& ~ doDivides0(xp,xm) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
~ ( doDivides0(xp,xm)
| ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
| doDivides0(xp,xn)
| ? [X1] :
( xn = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) ) ),
inference(rectify,[],[f57]) ).
fof(f57,negated_conjecture,
~ ( ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
| doDivides0(xp,xm)
| doDivides0(xp,xn)
| ? [X0] :
( xn = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
( ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
| doDivides0(xp,xm)
| doDivides0(xp,xn)
| ? [X0] :
( xn = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f1056,plain,
( sz00 = xn
| ~ aNaturalNumber0(xr)
| ~ spl27_6
| ~ spl27_15
| ~ spl27_35 ),
inference(superposition,[],[f275,f1013]) ).
fof(f1013,plain,
( xn = sdtasdt0(xr,sz00)
| ~ spl27_6
| ~ spl27_15
| ~ spl27_35 ),
inference(backward_demodulation,[],[f567,f880]) ).
fof(f880,plain,
( sz00 = sF26(sK10)
| ~ spl27_35 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f567,plain,
( xn = sdtasdt0(xr,sF26(sK10))
| ~ spl27_6
| ~ spl27_15 ),
inference(backward_demodulation,[],[f451,f562]) ).
fof(f451,plain,
( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f449,plain,
( spl27_6
<=> xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).
fof(f530,plain,
spl27_20,
inference(avatar_split_clause,[],[f285,f522]) ).
fof(f285,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f186]) ).
fof(f526,plain,
spl27_17,
inference(avatar_split_clause,[],[f261,f507]) ).
fof(f261,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f520,plain,
~ spl27_14,
inference(avatar_split_clause,[],[f326,f492]) ).
fof(f492,plain,
( spl27_14
<=> doDivides0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).
fof(f326,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f123]) ).
fof(f500,plain,
( spl27_15
| ~ spl27_4 ),
inference(avatar_split_clause,[],[f292,f439,f497]) ).
fof(f439,plain,
( spl27_4
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).
fof(f292,plain,
( ~ sP0
| sdtsldt0(xn,xr) = sdtasdt0(xp,sK10) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& doDivides0(xp,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& aNaturalNumber0(sK10)
& sdtsldt0(xn,xr) = sdtasdt0(xp,sK10) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f188,f189]) ).
fof(f189,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xp,X0) = sdtsldt0(xn,xr) )
=> ( aNaturalNumber0(sK10)
& sdtsldt0(xn,xr) = sdtasdt0(xp,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& doDivides0(xp,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xp,X0) = sdtsldt0(xn,xr) ) )
| ~ sP0 ),
inference(rectify,[],[f187]) ).
fof(f187,plain,
( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& doDivides0(xp,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& ? [X1] :
( aNaturalNumber0(X1)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X1) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& doDivides0(xp,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& ? [X1] :
( aNaturalNumber0(X1)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X1) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f495,plain,
( spl27_4
| spl27_14 ),
inference(avatar_split_clause,[],[f299,f492,f439]) ).
fof(f299,plain,
( doDivides0(xp,xm)
| sP0 ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( sP0
| ( doDivides0(xp,xm)
& xm = sdtasdt0(xp,sK11)
& aNaturalNumber0(sK11) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f160,f191]) ).
fof(f191,plain,
( ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
=> ( xm = sdtasdt0(xp,sK11)
& aNaturalNumber0(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( sP0
| ( doDivides0(xp,xm)
& ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ),
inference(definition_folding,[],[f79,f159]) ).
fof(f79,plain,
( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& doDivides0(xp,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& ? [X1] :
( aNaturalNumber0(X1)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X1) ) )
| ( doDivides0(xp,xm)
& ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
( ( doDivides0(xp,xm)
& ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) )
| ( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xp,X0) = sdtsldt0(xn,xr) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& doDivides0(xp,sdtsldt0(xn,xr)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2645) ).
fof(f490,plain,
spl27_6,
inference(avatar_split_clause,[],[f278,f449]) ).
fof(f278,plain,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK8)
& aNaturalNumber0(sK8)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f54,f182]) ).
fof(f182,plain,
( ? [X0] :
( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK8)
& aNaturalNumber0(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f54,axiom,
( aNaturalNumber0(sdtsldt0(xn,xr))
& ? [X0] :
( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm)
& aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2529) ).
fof(f488,plain,
( spl27_13
| ~ spl27_4 ),
inference(avatar_split_clause,[],[f295,f439,f485]) ).
fof(f295,plain,
( ~ sP0
| doDivides0(xp,sdtsldt0(xn,xr)) ),
inference(cnf_transformation,[],[f190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM518+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Aug 30 07:07:31 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.19/0.50 % (31493)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)
% 0.19/0.51 % (31492)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)
% 0.19/0.51 % (31508)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)
% 0.19/0.51 % (31500)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)
% 0.19/0.51 % (31492)Instruction limit reached!
% 0.19/0.51 % (31492)------------------------------
% 0.19/0.51 % (31492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31492)Termination reason: Unknown
% 0.19/0.51 % (31492)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (31492)Memory used [KB]: 1663
% 0.19/0.51 % (31492)Time elapsed: 0.003 s
% 0.19/0.51 % (31492)Instructions burned: 4 (million)
% 0.19/0.51 % (31492)------------------------------
% 0.19/0.51 % (31492)------------------------------
% 0.19/0.51 % (31494)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)
% 0.19/0.51 % (31508)Instruction limit reached!
% 0.19/0.51 % (31508)------------------------------
% 0.19/0.51 % (31508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31508)Termination reason: Unknown
% 0.19/0.51 % (31508)Termination phase: Unused predicate definition removal
% 0.19/0.51
% 0.19/0.51 % (31508)Memory used [KB]: 1535
% 0.19/0.51 % (31508)Time elapsed: 0.003 s
% 0.19/0.51 % (31508)Instructions burned: 2 (million)
% 0.19/0.51 % (31508)------------------------------
% 0.19/0.51 % (31508)------------------------------
% 0.19/0.52 % (31500)Instruction limit reached!
% 0.19/0.52 % (31500)------------------------------
% 0.19/0.52 % (31500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31500)Termination reason: Unknown
% 0.19/0.52 % (31500)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (31500)Memory used [KB]: 6268
% 0.19/0.52 % (31499)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)
% 0.19/0.52 % (31500)Time elapsed: 0.122 s
% 0.19/0.52 % (31500)Instructions burned: 12 (million)
% 0.19/0.52 % (31500)------------------------------
% 0.19/0.52 % (31500)------------------------------
% 0.19/0.52 % (31506)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)
% 0.19/0.52 % (31515)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52 % (31491)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)
% 0.19/0.52 % (31504)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)
% 0.19/0.52 % (31490)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (31504)Instruction limit reached!
% 0.19/0.52 % (31504)------------------------------
% 0.19/0.52 % (31504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31504)Termination reason: Unknown
% 0.19/0.52 % (31504)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (31504)Memory used [KB]: 1535
% 0.19/0.52 % (31504)Time elapsed: 0.003 s
% 0.19/0.52 % (31504)Instructions burned: 3 (million)
% 0.19/0.52 % (31504)------------------------------
% 0.19/0.52 % (31504)------------------------------
% 0.19/0.53 % (31502)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)
% 0.19/0.53 % (31512)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)
% 0.19/0.53 % (31501)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)
% 0.19/0.53 % (31491)Instruction limit reached!
% 0.19/0.53 % (31491)------------------------------
% 0.19/0.53 % (31491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31491)Termination reason: Unknown
% 0.19/0.53 % (31491)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (31491)Memory used [KB]: 6396
% 0.19/0.53 % (31491)Time elapsed: 0.126 s
% 0.19/0.53 % (31491)Instructions burned: 14 (million)
% 0.19/0.53 % (31491)------------------------------
% 0.19/0.53 % (31491)------------------------------
% 0.19/0.53 % (31495)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)
% 0.19/0.53 % (31516)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (31494)Instruction limit reached!
% 0.19/0.53 % (31494)------------------------------
% 0.19/0.53 % (31494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31494)Termination reason: Unknown
% 0.19/0.53 % (31494)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (31494)Memory used [KB]: 1663
% 0.19/0.53 % (31494)Time elapsed: 0.007 s
% 0.19/0.53 % (31494)Instructions burned: 13 (million)
% 0.19/0.53 % (31494)------------------------------
% 0.19/0.53 % (31494)------------------------------
% 0.19/0.53 % (31498)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)
% 0.19/0.53 % (31517)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)
% 0.19/0.53 % (31513)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)
% 0.19/0.54 % (31514)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)
% 0.19/0.54 % (31519)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)
% 0.19/0.54 % (31505)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)
% 0.19/0.54 % (31507)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (31507)Instruction limit reached!
% 0.19/0.54 % (31507)------------------------------
% 0.19/0.54 % (31507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (31507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (31507)Termination reason: Unknown
% 0.19/0.54 % (31507)Termination phase: Preprocessing 3
% 0.19/0.54
% 0.19/0.54 % (31507)Memory used [KB]: 1535
% 0.19/0.54 % (31507)Time elapsed: 0.003 s
% 0.19/0.54 % (31507)Instructions burned: 4 (million)
% 0.19/0.54 % (31507)------------------------------
% 0.19/0.54 % (31507)------------------------------
% 0.19/0.54 % (31505)Instruction limit reached!
% 0.19/0.54 % (31505)------------------------------
% 0.19/0.54 % (31505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (31505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (31505)Termination reason: Unknown
% 0.19/0.54 % (31505)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (31505)Memory used [KB]: 6140
% 0.19/0.54 % (31505)Time elapsed: 0.004 s
% 0.19/0.54 % (31505)Instructions burned: 7 (million)
% 0.19/0.54 % (31505)------------------------------
% 0.19/0.54 % (31505)------------------------------
% 0.19/0.54 % (31509)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)
% 0.19/0.54 % (31497)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)
% 0.19/0.54 % (31518)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)
% 0.19/0.54 % (31511)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)
% 0.19/0.55 % (31510)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)
% 0.19/0.55 % (31509)Instruction limit reached!
% 0.19/0.55 % (31509)------------------------------
% 0.19/0.55 % (31509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (31509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (31509)Termination reason: Unknown
% 0.19/0.55 % (31509)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (31509)Memory used [KB]: 6396
% 0.19/0.55 % (31509)Time elapsed: 0.150 s
% 0.19/0.55 % (31509)Instructions burned: 12 (million)
% 0.19/0.55 % (31509)------------------------------
% 0.19/0.55 % (31509)------------------------------
% 0.19/0.55 % (31496)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)
% 0.19/0.55 % (31501)Instruction limit reached!
% 0.19/0.55 % (31501)------------------------------
% 0.19/0.55 % (31501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (31501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (31501)Termination reason: Unknown
% 0.19/0.55 % (31501)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (31501)Memory used [KB]: 6140
% 0.19/0.55 % (31501)Time elapsed: 0.005 s
% 0.19/0.55 % (31501)Instructions burned: 7 (million)
% 0.19/0.55 % (31501)------------------------------
% 0.19/0.55 % (31501)------------------------------
% 0.19/0.55 % (31503)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)
% 0.19/0.55 % (31493)Instruction limit reached!
% 0.19/0.55 % (31493)------------------------------
% 0.19/0.55 % (31493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (31493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (31493)Termination reason: Unknown
% 0.19/0.55 % (31493)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (31493)Memory used [KB]: 7036
% 0.19/0.55 % (31493)Time elapsed: 0.138 s
% 0.19/0.55 % (31493)Instructions burned: 52 (million)
% 0.19/0.55 % (31493)------------------------------
% 0.19/0.55 % (31493)------------------------------
% 0.19/0.56 % (31495)Instruction limit reached!
% 0.19/0.56 % (31495)------------------------------
% 0.19/0.56 % (31495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (31495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (31495)Termination reason: Unknown
% 0.19/0.56 % (31495)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (31495)Memory used [KB]: 1791
% 0.19/0.56 % (31495)Time elapsed: 0.127 s
% 0.19/0.56 % (31495)Instructions burned: 15 (million)
% 0.19/0.56 % (31495)------------------------------
% 0.19/0.56 % (31495)------------------------------
% 0.19/0.56 % (31518)Instruction limit reached!
% 0.19/0.56 % (31518)------------------------------
% 0.19/0.56 % (31518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (31519)Instruction limit reached!
% 0.19/0.56 % (31519)------------------------------
% 0.19/0.56 % (31519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (31519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (31519)Termination reason: Unknown
% 0.19/0.56 % (31519)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (31519)Memory used [KB]: 6268
% 0.19/0.56 % (31519)Time elapsed: 0.011 s
% 0.19/0.56 % (31519)Instructions burned: 24 (million)
% 0.19/0.56 % (31519)------------------------------
% 0.19/0.56 % (31519)------------------------------
% 0.19/0.56 % (31518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (31518)Termination reason: Unknown
% 0.19/0.56 % (31518)Termination phase: Property scanning
% 0.19/0.56
% 0.19/0.56 % (31518)Memory used [KB]: 1663
% 0.19/0.56 % (31518)Time elapsed: 0.008 s
% 0.19/0.56 % (31518)Instructions burned: 8 (million)
% 0.19/0.56 % (31518)------------------------------
% 0.19/0.56 % (31518)------------------------------
% 0.19/0.56 % (31502)Instruction limit reached!
% 0.19/0.56 % (31502)------------------------------
% 0.19/0.56 % (31502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (31502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (31502)Termination reason: Unknown
% 0.19/0.56 % (31502)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (31502)Memory used [KB]: 1918
% 0.19/0.56 % (31502)Time elapsed: 0.136 s
% 0.19/0.56 % (31502)Instructions burned: 16 (million)
% 0.19/0.56 % (31502)------------------------------
% 0.19/0.56 % (31502)------------------------------
% 0.19/0.57 % (31517)Instruction limit reached!
% 0.19/0.57 % (31517)------------------------------
% 0.19/0.57 % (31517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (31517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (31517)Termination reason: Unknown
% 0.19/0.57 % (31517)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (31517)Memory used [KB]: 6524
% 0.19/0.57 % (31517)Time elapsed: 0.171 s
% 0.19/0.57 % (31517)Instructions burned: 25 (million)
% 0.19/0.57 % (31517)------------------------------
% 0.19/0.57 % (31517)------------------------------
% 1.75/0.58 % (31506)Instruction limit reached!
% 1.75/0.58 % (31506)------------------------------
% 1.75/0.58 % (31506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58 % (31506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58 % (31506)Termination reason: Unknown
% 1.75/0.58 % (31506)Termination phase: Saturation
% 1.75/0.58
% 1.75/0.58 % (31506)Memory used [KB]: 6524
% 1.75/0.58 % (31506)Time elapsed: 0.169 s
% 1.75/0.58 % (31506)Instructions burned: 51 (million)
% 1.75/0.58 % (31506)------------------------------
% 1.75/0.58 % (31506)------------------------------
% 1.75/0.59 % (31499)Instruction limit reached!
% 1.75/0.59 % (31499)------------------------------
% 1.75/0.59 % (31499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59 % (31499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59 % (31499)Termination reason: Unknown
% 1.75/0.59 % (31499)Termination phase: Saturation
% 1.75/0.59
% 1.75/0.59 % (31499)Memory used [KB]: 6780
% 1.75/0.59 % (31499)Time elapsed: 0.153 s
% 1.75/0.59 % (31499)Instructions burned: 34 (million)
% 1.75/0.59 % (31499)------------------------------
% 1.75/0.59 % (31499)------------------------------
% 1.75/0.59 % (31510)Instruction limit reached!
% 1.75/0.59 % (31510)------------------------------
% 1.75/0.59 % (31510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59 % (31510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59 % (31510)Termination reason: Unknown
% 1.75/0.59 % (31510)Termination phase: Saturation
% 1.75/0.59
% 1.75/0.59 % (31510)Memory used [KB]: 6780
% 1.75/0.59 % (31510)Time elapsed: 0.158 s
% 1.75/0.59 % (31510)Instructions burned: 30 (million)
% 1.75/0.59 % (31510)------------------------------
% 1.75/0.59 % (31510)------------------------------
% 1.75/0.59 % (31498)Instruction limit reached!
% 1.75/0.59 % (31498)------------------------------
% 1.75/0.59 % (31498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59 % (31498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59 % (31498)Termination reason: Unknown
% 1.75/0.59 % (31498)Termination phase: Saturation
% 1.75/0.59
% 1.75/0.59 % (31498)Memory used [KB]: 6908
% 1.75/0.59 % (31498)Time elapsed: 0.174 s
% 1.75/0.59 % (31498)Instructions burned: 50 (million)
% 1.75/0.59 % (31498)------------------------------
% 1.75/0.59 % (31498)------------------------------
% 1.93/0.60 % (31497)Instruction limit reached!
% 1.93/0.60 % (31497)------------------------------
% 1.93/0.60 % (31497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60 % (31497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60 % (31497)Termination reason: Unknown
% 1.93/0.60 % (31497)Termination phase: Saturation
% 1.93/0.60
% 1.93/0.60 % (31497)Memory used [KB]: 6780
% 1.93/0.60 % (31497)Time elapsed: 0.200 s
% 1.93/0.60 % (31497)Instructions burned: 41 (million)
% 1.93/0.60 % (31497)------------------------------
% 1.93/0.60 % (31497)------------------------------
% 1.93/0.61 % (31496)Instruction limit reached!
% 1.93/0.61 % (31496)------------------------------
% 1.93/0.61 % (31496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (31496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61 % (31496)Termination reason: Unknown
% 1.93/0.61 % (31496)Termination phase: Saturation
% 1.93/0.61
% 1.93/0.61 % (31496)Memory used [KB]: 6652
% 1.93/0.61 % (31496)Time elapsed: 0.164 s
% 1.93/0.61 % (31496)Instructions burned: 40 (million)
% 1.93/0.61 % (31496)------------------------------
% 1.93/0.61 % (31496)------------------------------
% 1.93/0.61 % (31513)Instruction limit reached!
% 1.93/0.61 % (31513)------------------------------
% 1.93/0.61 % (31513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (31513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61 % (31513)Termination reason: Unknown
% 1.93/0.61 % (31513)Termination phase: Saturation
% 1.93/0.61
% 1.93/0.61 % (31513)Memory used [KB]: 2686
% 1.93/0.61 % (31513)Time elapsed: 0.196 s
% 1.93/0.61 % (31513)Instructions burned: 45 (million)
% 1.93/0.61 % (31513)------------------------------
% 1.93/0.61 % (31513)------------------------------
% 1.93/0.63 % (31503)Instruction limit reached!
% 1.93/0.63 % (31503)------------------------------
% 1.93/0.63 % (31503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.63 % (31503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.63 % (31503)Termination reason: Unknown
% 1.93/0.63 % (31503)Termination phase: Saturation
% 1.93/0.63
% 1.93/0.63 % (31503)Memory used [KB]: 7164
% 1.93/0.63 % (31503)Time elapsed: 0.235 s
% 1.93/0.63 % (31503)Instructions burned: 52 (million)
% 1.93/0.63 % (31503)------------------------------
% 1.93/0.63 % (31503)------------------------------
% 2.14/0.65 % (31514)Instruction limit reached!
% 2.14/0.65 % (31514)------------------------------
% 2.14/0.65 % (31514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65 % (31514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65 % (31514)Termination reason: Unknown
% 2.14/0.65 % (31514)Termination phase: Saturation
% 2.14/0.65
% 2.14/0.65 % (31514)Memory used [KB]: 6780
% 2.14/0.65 % (31514)Time elapsed: 0.197 s
% 2.14/0.65 % (31514)Instructions burned: 50 (million)
% 2.14/0.65 % (31514)------------------------------
% 2.14/0.65 % (31514)------------------------------
% 2.14/0.65 % (31520)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)
% 2.14/0.66 % (31512)Instruction limit reached!
% 2.14/0.66 % (31512)------------------------------
% 2.14/0.66 % (31512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.66 % (31512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.66 % (31512)Termination reason: Unknown
% 2.14/0.66 % (31512)Termination phase: Saturation
% 2.14/0.66
% 2.14/0.66 % (31512)Memory used [KB]: 7931
% 2.14/0.66 % (31512)Time elapsed: 0.205 s
% 2.14/0.66 % (31512)Instructions burned: 84 (million)
% 2.14/0.66 % (31512)------------------------------
% 2.14/0.66 % (31512)------------------------------
% 2.14/0.66 % (31490)First to succeed.
% 2.14/0.66 % (31490)Refutation found. Thanks to Tanya!
% 2.14/0.66 % SZS status Theorem for theBenchmark
% 2.14/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.14/0.66 % (31490)------------------------------
% 2.14/0.66 % (31490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.66 % (31490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.66 % (31490)Termination reason: Refutation
% 2.14/0.66
% 2.14/0.66 % (31490)Memory used [KB]: 7036
% 2.14/0.66 % (31490)Time elapsed: 0.258 s
% 2.14/0.66 % (31490)Instructions burned: 73 (million)
% 2.14/0.66 % (31490)------------------------------
% 2.14/0.66 % (31490)------------------------------
% 2.14/0.66 % (31489)Success in time 0.314 s
%------------------------------------------------------------------------------