TSTP Solution File: NUM498+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM498+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n019.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 18:00:07 EDT 2022
% Result : Theorem 2.24s 0.70s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 34
% Syntax : Number of formulae : 215 ( 20 unt; 0 def)
% Number of atoms : 816 ( 239 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1040 ( 439 ~; 452 |; 100 &)
% ( 25 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 14 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 187 ( 171 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2560,plain,
$false,
inference(avatar_sat_refutation,[],[f275,f294,f295,f427,f532,f640,f1247,f1263,f2062,f2207,f2239,f2425,f2484,f2557]) ).
fof(f2557,plain,
( ~ spl4_8
| spl4_15
| spl4_16 ),
inference(avatar_contradiction_clause,[],[f2556]) ).
fof(f2556,plain,
( $false
| ~ spl4_8
| spl4_15
| spl4_16 ),
inference(subsumption_resolution,[],[f2555,f630]) ).
fof(f630,plain,
( sz00 != xm
| spl4_15 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f629,plain,
( spl4_15
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f2555,plain,
( sz00 = xm
| ~ spl4_8
| spl4_16 ),
inference(subsumption_resolution,[],[f2554,f212]) ).
fof(f212,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f2554,plain,
( ~ aNaturalNumber0(xn)
| sz00 = xm
| ~ spl4_8
| spl4_16 ),
inference(subsumption_resolution,[],[f2553,f638]) ).
fof(f638,plain,
( sz00 != xn
| spl4_16 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f637,plain,
( spl4_16
<=> sz00 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f2553,plain,
( sz00 = xn
| ~ aNaturalNumber0(xn)
| sz00 = xm
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f2546,f211]) ).
fof(f211,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f2546,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xn
| ~ aNaturalNumber0(xn)
| sz00 = xm
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f2540]) ).
fof(f2540,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| sz00 = xn
| sz00 = xm
| sz00 != sz00
| ~ spl4_8 ),
inference(superposition,[],[f216,f418]) ).
fof(f418,plain,
( sz00 = sdtasdt0(xn,xm)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f416,plain,
( spl4_8
<=> sz00 = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f216,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X0
| sz00 = X1 ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X1,X0] :
( sz00 = X0
| sz00 = X1
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X0
| sz00 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f2484,plain,
( ~ spl4_6
| ~ spl4_11
| spl4_17 ),
inference(avatar_contradiction_clause,[],[f2483]) ).
fof(f2483,plain,
( $false
| ~ spl4_6
| ~ spl4_11
| spl4_17 ),
inference(subsumption_resolution,[],[f2482,f895]) ).
fof(f895,plain,
( sz10 != xp
| spl4_17 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f894,plain,
( spl4_17
<=> sz10 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f2482,plain,
( sz10 = xp
| ~ spl4_6
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2453,f291]) ).
fof(f291,plain,
( aNaturalNumber0(sz10)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl4_6
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f2453,plain,
( ~ aNaturalNumber0(sz10)
| sz10 = xp
| ~ spl4_11 ),
inference(superposition,[],[f2451,f188]) ).
fof(f188,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f2451,plain,
( xp = sdtasdt0(sz10,sz10)
| ~ spl4_11 ),
inference(forward_demodulation,[],[f2413,f2407]) ).
fof(f2407,plain,
( sz10 = xn
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2406,f212]) ).
fof(f2406,plain,
( ~ aNaturalNumber0(xn)
| sz10 = xn
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2405,f207]) ).
fof(f207,plain,
xn != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( sdtlseqdt0(xn,xp)
& xm != xp
& sdtlseqdt0(xm,xp)
& xn != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f2405,plain,
( sz10 = xn
| xn = xp
| ~ aNaturalNumber0(xn)
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2404,f213]) ).
fof(f213,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f2404,plain,
( ~ aNaturalNumber0(xp)
| xn = xp
| sz10 = xn
| ~ aNaturalNumber0(xn)
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2402,f241]) ).
fof(f241,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f2402,plain,
( ~ isPrime0(xp)
| ~ aNaturalNumber0(xp)
| sz10 = xn
| ~ aNaturalNumber0(xn)
| xn = xp
| ~ spl4_11 ),
inference(resolution,[],[f2380,f223]) ).
fof(f223,plain,
! [X0,X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X0)
| sz10 = X1
| X0 = X1
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ( sz10 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| X0 = X1
| sz10 = X1
| ~ aNaturalNumber0(X1) )
& sz00 != X0 )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| ( doDivides0(sK1(X0),X0)
& sK1(X0) != X0
& sz10 != sK1(X0)
& aNaturalNumber0(sK1(X0)) )
| sz00 = X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f154,f155]) ).
fof(f155,plain,
! [X0] :
( ? [X2] :
( doDivides0(X2,X0)
& X0 != X2
& sz10 != X2
& aNaturalNumber0(X2) )
=> ( doDivides0(sK1(X0),X0)
& sK1(X0) != X0
& sz10 != sK1(X0)
& aNaturalNumber0(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ( sz10 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| X0 = X1
| sz10 = X1
| ~ aNaturalNumber0(X1) )
& sz00 != X0 )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| ? [X2] :
( doDivides0(X2,X0)
& X0 != X2
& sz10 != X2
& aNaturalNumber0(X2) )
| sz00 = X0 ) ) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ( sz10 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| X0 = X1
| sz10 = X1
| ~ aNaturalNumber0(X1) )
& sz00 != X0 )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| ? [X1] :
( doDivides0(X1,X0)
& X0 != X1
& sz10 != X1
& aNaturalNumber0(X1) )
| sz00 = X0 ) ) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ( sz10 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| X0 = X1
| sz10 = X1
| ~ aNaturalNumber0(X1) )
& sz00 != X0 )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| ? [X1] :
( doDivides0(X1,X0)
& X0 != X1
& sz10 != X1
& aNaturalNumber0(X1) )
| sz00 = X0 ) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( sz10 != X0
& ! [X1] :
( ~ doDivides0(X1,X0)
| X0 = X1
| sz10 = X1
| ~ aNaturalNumber0(X1) )
& sz00 != X0 )
<=> isPrime0(X0) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( ( ! [X1] :
( sz10 = X1
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) )
& sz00 != X0
& sz10 != X0 )
<=> isPrime0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( sz10 = X1
| X0 = X1 ) )
& sz00 != X0
& sz10 != X0 )
<=> isPrime0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f2380,plain,
( doDivides0(xn,xp)
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2379,f211]) ).
fof(f2379,plain,
( ~ aNaturalNumber0(xm)
| doDivides0(xn,xp)
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2372,f212]) ).
fof(f2372,plain,
( ~ aNaturalNumber0(xn)
| doDivides0(xn,xp)
| ~ aNaturalNumber0(xm)
| ~ spl4_11 ),
inference(superposition,[],[f509,f454]) ).
fof(f454,plain,
( xp = sdtasdt0(xn,xm)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f452,plain,
( spl4_11
<=> xp = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f509,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f264,f214]) ).
fof(f214,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f264,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f246]) ).
fof(f246,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK3(X0,X1))
& sdtasdt0(X0,sK3(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f165,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
=> ( aNaturalNumber0(sK3(X0,X1))
& sdtasdt0(X0,sK3(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) ) ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| ~ doDivides0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 ) ) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f2413,plain,
( xp = sdtasdt0(xn,sz10)
| ~ spl4_11 ),
inference(backward_demodulation,[],[f454,f2401]) ).
fof(f2401,plain,
( sz10 = xm
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2400,f211]) ).
fof(f2400,plain,
( sz10 = xm
| ~ aNaturalNumber0(xm)
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2399,f209]) ).
fof(f209,plain,
xm != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f2399,plain,
( xm = xp
| sz10 = xm
| ~ aNaturalNumber0(xm)
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2398,f213]) ).
fof(f2398,plain,
( sz10 = xm
| ~ aNaturalNumber0(xp)
| xm = xp
| ~ aNaturalNumber0(xm)
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2396,f241]) ).
fof(f2396,plain,
( sz10 = xm
| ~ isPrime0(xp)
| xm = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl4_11 ),
inference(resolution,[],[f2378,f223]) ).
fof(f2378,plain,
( doDivides0(xm,xp)
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2377,f211]) ).
fof(f2377,plain,
( doDivides0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f2373,f212]) ).
fof(f2373,plain,
( ~ aNaturalNumber0(xn)
| doDivides0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ spl4_11 ),
inference(superposition,[],[f517,f454]) ).
fof(f517,plain,
! [X2,X3] :
( doDivides0(X2,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(duplicate_literal_removal,[],[f513]) ).
fof(f513,plain,
! [X2,X3] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| doDivides0(X2,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2) ),
inference(superposition,[],[f509,f249]) ).
fof(f249,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f2425,plain,
( ~ spl4_17
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f2410,f452,f894]) ).
fof(f2410,plain,
( sz10 != xp
| ~ spl4_11 ),
inference(backward_demodulation,[],[f209,f2401]) ).
fof(f2239,plain,
( spl4_11
| ~ spl4_1
| ~ spl4_9
| spl4_14 ),
inference(avatar_split_clause,[],[f2238,f622,f420,f268,f452]) ).
fof(f268,plain,
( spl4_1
<=> sz10 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f420,plain,
( spl4_9
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f622,plain,
( spl4_14
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f2238,plain,
( xp = sdtasdt0(xn,xm)
| ~ spl4_1
| ~ spl4_9
| spl4_14 ),
inference(subsumption_resolution,[],[f2218,f213]) ).
fof(f2218,plain,
( ~ aNaturalNumber0(xp)
| xp = sdtasdt0(xn,xm)
| ~ spl4_1
| ~ spl4_9
| spl4_14 ),
inference(superposition,[],[f2217,f188]) ).
fof(f2217,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sz10)
| ~ spl4_1
| ~ spl4_9
| spl4_14 ),
inference(subsumption_resolution,[],[f2216,f421]) ).
fof(f421,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f2216,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,sz10)
| ~ spl4_1
| spl4_14 ),
inference(subsumption_resolution,[],[f2215,f242]) ).
fof(f242,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f2215,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sz10)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_1
| spl4_14 ),
inference(subsumption_resolution,[],[f2214,f213]) ).
fof(f2214,plain,
( ~ aNaturalNumber0(xp)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_1
| spl4_14 ),
inference(subsumption_resolution,[],[f2212,f623]) ).
fof(f623,plain,
( sz00 != xp
| spl4_14 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f2212,plain,
( sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,sz10)
| ~ aNaturalNumber0(xp)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ spl4_1 ),
inference(superposition,[],[f255,f2211]) ).
fof(f2211,plain,
( sz10 = sdtsldt0(sdtasdt0(xn,xm),xp)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f215,f270]) ).
fof(f270,plain,
( sz10 = xk
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f215,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f255,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f197]) ).
fof(f197,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ! [X2] :
( ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 )
& ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0 ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ! [X2] :
( ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 )
& ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0 ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> sdtsldt0(X1,X0) = X2 )
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0 ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> sdtsldt0(X1,X0) = X2 )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sz00 != X0
& doDivides0(X0,X1) )
=> ! [X2] :
( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> sdtsldt0(X1,X0) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f2207,plain,
( ~ spl4_2
| spl4_8
| ~ spl4_9
| spl4_14 ),
inference(avatar_contradiction_clause,[],[f2206]) ).
fof(f2206,plain,
( $false
| ~ spl4_2
| spl4_8
| ~ spl4_9
| spl4_14 ),
inference(subsumption_resolution,[],[f2205,f417]) ).
fof(f417,plain,
( sz00 != sdtasdt0(xn,xm)
| spl4_8 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f2205,plain,
( sz00 = sdtasdt0(xn,xm)
| ~ spl4_2
| ~ spl4_9
| spl4_14 ),
inference(subsumption_resolution,[],[f2177,f213]) ).
fof(f2177,plain,
( ~ aNaturalNumber0(xp)
| sz00 = sdtasdt0(xn,xm)
| ~ spl4_2
| ~ spl4_9
| spl4_14 ),
inference(superposition,[],[f250,f2157]) ).
fof(f2157,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sz00)
| ~ spl4_2
| ~ spl4_9
| spl4_14 ),
inference(subsumption_resolution,[],[f2156,f421]) ).
fof(f2156,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,sz00)
| ~ spl4_2
| spl4_14 ),
inference(subsumption_resolution,[],[f2155,f623]) ).
fof(f2155,plain,
( sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f2154,f213]) ).
fof(f2154,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,sz00)
| sz00 = xp
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f2125,f242]) ).
fof(f2125,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sz00)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_2 ),
inference(superposition,[],[f255,f296]) ).
fof(f296,plain,
( sz00 = sdtsldt0(sdtasdt0(xn,xm),xp)
| ~ spl4_2 ),
inference(forward_demodulation,[],[f215,f274]) ).
fof(f274,plain,
( sz00 = xk
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl4_2
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f250,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,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(f2062,plain,
( ~ spl4_4
| ~ spl4_12
| ~ spl4_16 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
fof(f2061,plain,
( $false
| ~ spl4_4
| ~ spl4_12
| ~ spl4_16 ),
inference(subsumption_resolution,[],[f2047,f528]) ).
fof(f528,plain,
( doDivides0(sz00,sz00)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f526,plain,
( spl4_12
<=> doDivides0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f2047,plain,
( ~ doDivides0(sz00,sz00)
| ~ spl4_4
| ~ spl4_16 ),
inference(backward_demodulation,[],[f1043,f639]) ).
fof(f639,plain,
( sz00 = xn
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f1043,plain,
( ~ doDivides0(sz00,xn)
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f1042,f282]) ).
fof(f282,plain,
( aNaturalNumber0(sz00)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl4_4
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f1042,plain,
( ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f1035,f213]) ).
fof(f1035,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xn)
| ~ spl4_4 ),
inference(resolution,[],[f1029,f535]) ).
fof(f535,plain,
( ! [X1] :
( doDivides0(X1,sz00)
| ~ aNaturalNumber0(X1) )
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f519,f282]) ).
fof(f519,plain,
! [X1] :
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,sz00) ),
inference(duplicate_literal_removal,[],[f512]) ).
fof(f512,plain,
! [X1] :
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,sz00)
| ~ aNaturalNumber0(X1) ),
inference(superposition,[],[f509,f250]) ).
fof(f1029,plain,
! [X0] :
( ~ doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(subsumption_resolution,[],[f1028,f212]) ).
fof(f1028,plain,
! [X0] :
( ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f1019,f213]) ).
fof(f1019,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f248,f233]) ).
fof(f233,plain,
~ doDivides0(xp,xn),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ~ doDivides0(xp,xm)
& ~ doDivides0(xp,xn)
& ( sz00 = xk
| sz10 = xk ) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
( ~ doDivides0(xp,xn)
& ~ doDivides0(xp,xm)
& ( sz00 = xk
| sz10 = xk ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,negated_conjecture,
~ ( ( sz00 = xk
| sz10 = xk )
=> ( doDivides0(xp,xn)
| doDivides0(xp,xm) ) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
( ( sz00 = xk
| sz10 = xk )
=> ( doDivides0(xp,xn)
| doDivides0(xp,xm) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f248,plain,
! [X2,X0,X1] :
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| doDivides0(X1,X2) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X2,X0,X1] :
( doDivides0(X2,X0)
| ~ doDivides0(X1,X0)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X1,X0)
& doDivides0(X2,X1) )
=> doDivides0(X2,X0) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X2,X1,X0] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f1263,plain,
~ spl4_13,
inference(avatar_contradiction_clause,[],[f1254]) ).
fof(f1254,plain,
( $false
| ~ spl4_13 ),
inference(resolution,[],[f531,f212]) ).
fof(f531,plain,
( ! [X7] : ~ aNaturalNumber0(X7)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f530,plain,
( spl4_13
<=> ! [X7] : ~ aNaturalNumber0(X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f1247,plain,
( ~ spl4_12
| ~ spl4_4
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f1231,f629,f281,f526]) ).
fof(f1231,plain,
( ~ doDivides0(sz00,sz00)
| ~ spl4_4
| ~ spl4_15 ),
inference(backward_demodulation,[],[f1061,f631]) ).
fof(f631,plain,
( sz00 = xm
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f1061,plain,
( ~ doDivides0(sz00,xm)
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f1060,f213]) ).
fof(f1060,plain,
( ~ doDivides0(sz00,xm)
| ~ aNaturalNumber0(xp)
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f1055,f282]) ).
fof(f1055,plain,
( ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xm)
| ~ aNaturalNumber0(xp)
| ~ spl4_4 ),
inference(resolution,[],[f1031,f535]) ).
fof(f1031,plain,
! [X1] :
( ~ doDivides0(xp,X1)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xm) ),
inference(subsumption_resolution,[],[f1030,f211]) ).
fof(f1030,plain,
! [X1] :
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(xp,X1)
| ~ doDivides0(X1,xm) ),
inference(subsumption_resolution,[],[f1020,f213]) ).
fof(f1020,plain,
! [X1] :
( ~ doDivides0(xp,X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xm)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f248,f234]) ).
fof(f234,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f69]) ).
fof(f640,plain,
( ~ spl4_14
| spl4_16 ),
inference(avatar_split_clause,[],[f635,f637,f622]) ).
fof(f635,plain,
( sz00 = xn
| sz00 != xp ),
inference(subsumption_resolution,[],[f634,f213]) ).
fof(f634,plain,
( ~ aNaturalNumber0(xp)
| sz00 != xp
| sz00 = xn ),
inference(subsumption_resolution,[],[f605,f212]) ).
fof(f605,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| sz00 != xp
| sz00 = xn ),
inference(resolution,[],[f563,f210]) ).
fof(f210,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f563,plain,
! [X2,X3] :
( ~ sdtlseqdt0(X2,X3)
| sz00 != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sz00 = X2 ),
inference(subsumption_resolution,[],[f553,f192]) ).
fof(f192,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ( ( ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X3] :
( sdtpldt0(X0,X3) != X1
| ~ aNaturalNumber0(X3) ) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f141,f142]) ).
fof(f142,plain,
! [X0,X1] :
( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0,X1] :
( ( ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X3] :
( sdtpldt0(X0,X3) != X1
| ~ aNaturalNumber0(X3) ) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ( ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> sdtlseqdt0(X0,X1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> sdtlseqdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f553,plain,
! [X2,X3] :
( sz00 != X3
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| sz00 = X2
| ~ aNaturalNumber0(sK0(X2,X3))
| ~ aNaturalNumber0(X3) ),
inference(duplicate_literal_removal,[],[f547]) ).
fof(f547,plain,
! [X2,X3] :
( ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| sz00 = X2
| ~ aNaturalNumber0(X2)
| sz00 != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sK0(X2,X3)) ),
inference(superposition,[],[f175,f193]) ).
fof(f193,plain,
! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f175,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X1,X0)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X1,X0)
| ( sz00 = X1
& sz00 = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( sz00 != sdtpldt0(X0,X1)
| ( sz00 = X0
& sz00 = X1 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ( sz00 = X0
& sz00 = X1 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sz00 = sdtpldt0(X0,X1)
=> ( sz00 = X0
& sz00 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f532,plain,
( spl4_12
| spl4_13
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f524,f281,f530,f526]) ).
fof(f524,plain,
( ! [X7] :
( ~ aNaturalNumber0(X7)
| doDivides0(sz00,sz00) )
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f523,f282]) ).
fof(f523,plain,
! [X7] :
( ~ aNaturalNumber0(X7)
| doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(duplicate_literal_removal,[],[f516]) ).
fof(f516,plain,
! [X7] :
( ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X7)
| doDivides0(sz00,sz00) ),
inference(superposition,[],[f509,f251]) ).
fof(f251,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f427,plain,
spl4_9,
inference(avatar_contradiction_clause,[],[f426]) ).
fof(f426,plain,
( $false
| spl4_9 ),
inference(subsumption_resolution,[],[f425,f211]) ).
fof(f425,plain,
( ~ aNaturalNumber0(xm)
| spl4_9 ),
inference(subsumption_resolution,[],[f424,f212]) ).
fof(f424,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_9 ),
inference(resolution,[],[f422,f214]) ).
fof(f422,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_9 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f295,plain,
spl4_6,
inference(avatar_split_clause,[],[f231,f290]) ).
fof(f231,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz00 != sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f294,plain,
spl4_4,
inference(avatar_split_clause,[],[f198,f281]) ).
fof(f198,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f275,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f232,f272,f268]) ).
fof(f232,plain,
( sz00 = xk
| sz10 = xk ),
inference(cnf_transformation,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM498+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 06:48:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (19294)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)
% 0.19/0.49 % (19305)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)
% 0.19/0.49 % (19305)Instruction limit reached!
% 0.19/0.49 % (19305)------------------------------
% 0.19/0.49 % (19305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (19305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (19305)Termination reason: Unknown
% 0.19/0.49 % (19305)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (19305)Memory used [KB]: 6268
% 0.19/0.49 % (19305)Time elapsed: 0.096 s
% 0.19/0.49 % (19305)Instructions burned: 11 (million)
% 0.19/0.49 % (19305)------------------------------
% 0.19/0.49 % (19305)------------------------------
% 0.19/0.50 % (19287)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)
% 0.19/0.51 % (19301)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)
% 0.19/0.51 % (19296)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 % (19294)Instruction limit reached!
% 0.19/0.51 % (19294)------------------------------
% 0.19/0.51 % (19294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (19294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (19294)Termination reason: Unknown
% 0.19/0.51 % (19294)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (19294)Memory used [KB]: 6780
% 0.19/0.51 % (19294)Time elapsed: 0.100 s
% 0.19/0.51 % (19294)Instructions burned: 49 (million)
% 0.19/0.51 % (19294)------------------------------
% 0.19/0.51 % (19294)------------------------------
% 0.19/0.51 % (19295)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 % (19298)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)
% 0.19/0.52 % (19308)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)
% 0.19/0.52 % (19289)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)
% 0.19/0.52 % (19288)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)
% 0.19/0.52 % (19288)Instruction limit reached!
% 0.19/0.52 % (19288)------------------------------
% 0.19/0.52 % (19288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19288)Termination reason: Unknown
% 0.19/0.52 % (19288)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (19288)Memory used [KB]: 1535
% 0.19/0.52 % (19288)Time elapsed: 0.002 s
% 0.19/0.52 % (19288)Instructions burned: 3 (million)
% 0.19/0.52 % (19288)------------------------------
% 0.19/0.52 % (19288)------------------------------
% 0.19/0.53 % (19311)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)
% 0.19/0.53 % (19300)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)
% 0.19/0.53 % (19291)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 % (19287)Instruction limit reached!
% 0.19/0.53 % (19287)------------------------------
% 0.19/0.53 % (19287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19287)Termination reason: Unknown
% 0.19/0.53 % (19287)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19287)Memory used [KB]: 6268
% 0.19/0.53 % (19287)Time elapsed: 0.122 s
% 0.19/0.53 % (19287)Instructions burned: 13 (million)
% 0.19/0.53 % (19287)------------------------------
% 0.19/0.53 % (19287)------------------------------
% 0.19/0.53 % (19286)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (19300)Instruction limit reached!
% 0.19/0.53 % (19300)------------------------------
% 0.19/0.53 % (19300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19300)Termination reason: Unknown
% 0.19/0.53 % (19300)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (19300)Memory used [KB]: 1535
% 0.19/0.53 % (19300)Time elapsed: 0.004 s
% 0.19/0.53 % (19300)Instructions burned: 4 (million)
% 0.19/0.53 % (19300)------------------------------
% 0.19/0.53 % (19300)------------------------------
% 0.19/0.53 % (19290)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)
% 0.19/0.53 % (19299)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)
% 0.19/0.53 % (19292)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)
% 0.19/0.53 % (19301)Instruction limit reached!
% 0.19/0.53 % (19301)------------------------------
% 0.19/0.53 % (19301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19301)Termination reason: Unknown
% 0.19/0.53 % (19301)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19301)Memory used [KB]: 6140
% 0.19/0.53 % (19301)Time elapsed: 0.006 s
% 0.19/0.53 % (19301)Instructions burned: 8 (million)
% 0.19/0.53 % (19301)------------------------------
% 0.19/0.53 % (19301)------------------------------
% 0.19/0.53 % (19302)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)
% 0.19/0.53 % (19297)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 % (19307)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)
% 0.19/0.54 % (19310)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 % (19312)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)
% 0.19/0.54 % (19297)Instruction limit reached!
% 0.19/0.54 % (19297)------------------------------
% 0.19/0.54 % (19297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (19297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (19297)Termination reason: Unknown
% 0.19/0.54 % (19297)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (19297)Memory used [KB]: 6140
% 0.19/0.54 % (19297)Time elapsed: 0.145 s
% 0.19/0.54 % (19297)Instructions burned: 8 (million)
% 0.19/0.54 % (19297)------------------------------
% 0.19/0.54 % (19297)------------------------------
% 0.19/0.54 % (19296)Instruction limit reached!
% 0.19/0.54 % (19296)------------------------------
% 0.19/0.54 % (19296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (19296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (19296)Termination reason: Unknown
% 0.19/0.54 % (19296)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (19296)Memory used [KB]: 6268
% 0.19/0.54 % (19296)Time elapsed: 0.138 s
% 0.19/0.54 % (19296)Instructions burned: 14 (million)
% 0.19/0.54 % (19296)------------------------------
% 0.19/0.54 % (19296)------------------------------
% 0.19/0.54 % (19304)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)
% 0.19/0.54 % (19304)Instruction limit reached!
% 0.19/0.54 % (19304)------------------------------
% 0.19/0.54 % (19304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (19304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (19304)Termination reason: Unknown
% 0.19/0.54 % (19304)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (19304)Memory used [KB]: 1535
% 0.19/0.54 % (19304)Time elapsed: 0.003 s
% 0.19/0.54 % (19304)Instructions burned: 4 (million)
% 0.19/0.54 % (19304)------------------------------
% 0.19/0.54 % (19304)------------------------------
% 0.19/0.54 % (19313)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)
% 0.19/0.54 % (19309)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 % (19293)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 % (19314)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 % (19298)Instruction limit reached!
% 0.19/0.54 % (19298)------------------------------
% 0.19/0.54 % (19298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (19298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (19298)Termination reason: Unknown
% 0.19/0.54 % (19298)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (19298)Memory used [KB]: 1791
% 0.19/0.54 % (19298)Time elapsed: 0.149 s
% 0.19/0.54 % (19298)Instructions burned: 17 (million)
% 0.19/0.54 % (19298)------------------------------
% 0.19/0.54 % (19298)------------------------------
% 0.19/0.55 % (19306)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 % (19303)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55 % (19303)Instruction limit reached!
% 0.19/0.55 % (19303)------------------------------
% 0.19/0.55 % (19303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (19303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (19303)Termination reason: Unknown
% 0.19/0.55 % (19303)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (19303)Memory used [KB]: 1535
% 0.19/0.55 % (19303)Time elapsed: 0.003 s
% 0.19/0.55 % (19303)Instructions burned: 4 (million)
% 0.19/0.55 % (19303)------------------------------
% 0.19/0.55 % (19303)------------------------------
% 0.19/0.55 % (19291)Instruction limit reached!
% 0.19/0.55 % (19291)------------------------------
% 0.19/0.55 % (19291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (19291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (19291)Termination reason: Unknown
% 0.19/0.55 % (19291)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (19291)Memory used [KB]: 1663
% 0.19/0.55 % (19291)Time elapsed: 0.142 s
% 0.19/0.55 % (19291)Instructions burned: 16 (million)
% 0.19/0.55 % (19291)------------------------------
% 0.19/0.55 % (19291)------------------------------
% 0.19/0.55 % (19315)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)
% 0.19/0.55 % (19290)Instruction limit reached!
% 0.19/0.55 % (19290)------------------------------
% 0.19/0.55 % (19290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (19290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (19290)Termination reason: Unknown
% 0.19/0.55 % (19290)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (19290)Memory used [KB]: 6268
% 0.19/0.55 % (19290)Time elapsed: 0.160 s
% 0.19/0.55 % (19290)Instructions burned: 14 (million)
% 0.19/0.55 % (19290)------------------------------
% 0.19/0.55 % (19290)------------------------------
% 1.63/0.56 % (19314)Instruction limit reached!
% 1.63/0.56 % (19314)------------------------------
% 1.63/0.56 % (19314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.56 % (19314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.56 % (19314)Termination reason: Unknown
% 1.63/0.56 % (19314)Termination phase: Saturation
% 1.63/0.56
% 1.63/0.56 % (19314)Memory used [KB]: 6268
% 1.63/0.56 % (19314)Time elapsed: 0.170 s
% 1.63/0.56 % (19314)Instructions burned: 10 (million)
% 1.63/0.56 % (19314)------------------------------
% 1.63/0.56 % (19314)------------------------------
% 1.74/0.58 % (19295)Instruction limit reached!
% 1.74/0.58 % (19295)------------------------------
% 1.74/0.58 % (19295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58 % (19295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58 % (19295)Termination reason: Unknown
% 1.74/0.58 % (19295)Termination phase: Saturation
% 1.74/0.58
% 1.74/0.58 % (19295)Memory used [KB]: 6524
% 1.74/0.58 % (19295)Time elapsed: 0.169 s
% 1.74/0.58 % (19295)Instructions burned: 33 (million)
% 1.74/0.58 % (19295)------------------------------
% 1.74/0.58 % (19295)------------------------------
% 1.74/0.59 % (19315)Instruction limit reached!
% 1.74/0.59 % (19315)------------------------------
% 1.74/0.59 % (19315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59 % (19315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59 % (19315)Termination reason: Unknown
% 1.74/0.59 % (19315)Termination phase: Saturation
% 1.74/0.59
% 1.74/0.59 % (19315)Memory used [KB]: 6268
% 1.74/0.59 % (19315)Time elapsed: 0.176 s
% 1.74/0.59 % (19315)Instructions burned: 25 (million)
% 1.74/0.59 % (19315)------------------------------
% 1.74/0.59 % (19315)------------------------------
% 1.74/0.59 % (19313)Instruction limit reached!
% 1.74/0.59 % (19313)------------------------------
% 1.74/0.59 % (19313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59 % (19313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59 % (19313)Termination reason: Unknown
% 1.74/0.59 % (19313)Termination phase: Saturation
% 1.74/0.59
% 1.74/0.59 % (19313)Memory used [KB]: 6396
% 1.74/0.59 % (19313)Time elapsed: 0.187 s
% 1.74/0.59 % (19313)Instructions burned: 25 (million)
% 1.74/0.59 % (19313)------------------------------
% 1.74/0.59 % (19313)------------------------------
% 1.74/0.59 % (19306)Instruction limit reached!
% 1.74/0.59 % (19306)------------------------------
% 1.74/0.59 % (19306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59 % (19306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59 % (19306)Termination reason: Unknown
% 1.74/0.59 % (19306)Termination phase: Saturation
% 1.74/0.59
% 1.74/0.59 % (19306)Memory used [KB]: 6396
% 1.74/0.59 % (19306)Time elapsed: 0.203 s
% 1.74/0.59 % (19306)Instructions burned: 31 (million)
% 1.74/0.59 % (19306)------------------------------
% 1.74/0.59 % (19306)------------------------------
% 1.74/0.60 % (19289)Refutation not found, non-redundant clauses discarded% (19289)------------------------------
% 1.74/0.60 % (19289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60 % (19289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.60 % (19289)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.74/0.60
% 1.74/0.60 % (19289)Memory used [KB]: 6652
% 1.74/0.60 % (19289)Time elapsed: 0.207 s
% 1.74/0.60 % (19289)Instructions burned: 50 (million)
% 1.74/0.60 % (19289)------------------------------
% 1.74/0.60 % (19289)------------------------------
% 1.74/0.60 % (19293)Refutation not found, non-redundant clauses discarded% (19293)------------------------------
% 1.74/0.60 % (19293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60 % (19293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.60 % (19293)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.74/0.60
% 1.74/0.60 % (19293)Memory used [KB]: 6524
% 1.74/0.60 % (19293)Time elapsed: 0.189 s
% 1.74/0.60 % (19293)Instructions burned: 34 (million)
% 1.74/0.60 % (19293)------------------------------
% 1.74/0.60 % (19293)------------------------------
% 1.74/0.60 % (19302)Instruction limit reached!
% 1.74/0.60 % (19302)------------------------------
% 1.74/0.60 % (19302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60 % (19302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.60 % (19302)Termination reason: Unknown
% 1.74/0.60 % (19302)Termination phase: Saturation
% 1.74/0.60
% 1.74/0.60 % (19302)Memory used [KB]: 6396
% 1.74/0.60 % (19302)Time elapsed: 0.179 s
% 1.74/0.60 % (19302)Instructions burned: 50 (million)
% 1.74/0.60 % (19302)------------------------------
% 1.74/0.60 % (19302)------------------------------
% 1.74/0.61 % (19316)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.74/0.61 % (19292)Instruction limit reached!
% 1.74/0.61 % (19292)------------------------------
% 1.74/0.61 % (19292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.61 % (19292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.61 % (19292)Termination reason: Unknown
% 1.74/0.61 % (19292)Termination phase: Saturation
% 1.74/0.61
% 1.74/0.61 % (19292)Memory used [KB]: 6524
% 1.74/0.61 % (19292)Time elapsed: 0.186 s
% 1.74/0.61 % (19292)Instructions burned: 39 (million)
% 1.74/0.61 % (19292)------------------------------
% 1.74/0.61 % (19292)------------------------------
% 2.13/0.63 % (19299)Instruction limit reached!
% 2.13/0.63 % (19299)------------------------------
% 2.13/0.63 % (19299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63 % (19299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63 % (19299)Termination reason: Unknown
% 2.13/0.63 % (19299)Termination phase: Saturation
% 2.13/0.63
% 2.13/0.63 % (19299)Memory used [KB]: 7036
% 2.13/0.63 % (19299)Time elapsed: 0.241 s
% 2.13/0.63 % (19299)Instructions burned: 52 (million)
% 2.13/0.63 % (19299)------------------------------
% 2.13/0.63 % (19299)------------------------------
% 2.13/0.64 % (19310)Instruction limit reached!
% 2.13/0.64 % (19310)------------------------------
% 2.13/0.64 % (19310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (19310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64 % (19310)Termination reason: Unknown
% 2.13/0.64 % (19310)Termination phase: Saturation
% 2.13/0.64
% 2.13/0.64 % (19310)Memory used [KB]: 6652
% 2.13/0.64 % (19310)Time elapsed: 0.248 s
% 2.13/0.64 % (19310)Instructions burned: 50 (million)
% 2.13/0.64 % (19310)------------------------------
% 2.13/0.64 % (19310)------------------------------
% 2.13/0.64 % (19309)Instruction limit reached!
% 2.13/0.64 % (19309)------------------------------
% 2.13/0.64 % (19309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (19309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64 % (19309)Termination reason: Unknown
% 2.13/0.64 % (19309)Termination phase: Saturation
% 2.13/0.64
% 2.13/0.64 % (19309)Memory used [KB]: 2174
% 2.13/0.64 % (19309)Time elapsed: 0.212 s
% 2.13/0.64 % (19309)Instructions burned: 45 (million)
% 2.13/0.64 % (19309)------------------------------
% 2.13/0.64 % (19309)------------------------------
% 2.13/0.64 % (19317)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.13/0.65 % (19317)Instruction limit reached!
% 2.13/0.65 % (19317)------------------------------
% 2.13/0.65 % (19317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.65 % (19317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.65 % (19317)Termination reason: Unknown
% 2.13/0.65 % (19317)Termination phase: Saturation
% 2.13/0.65
% 2.13/0.65 % (19317)Memory used [KB]: 10618
% 2.13/0.65 % (19317)Time elapsed: 0.011 s
% 2.13/0.65 % (19317)Instructions burned: 7 (million)
% 2.13/0.65 % (19317)------------------------------
% 2.13/0.65 % (19317)------------------------------
% 2.13/0.65 % (19308)Instruction limit reached!
% 2.13/0.65 % (19308)------------------------------
% 2.13/0.65 % (19308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.65 % (19308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.65 % (19308)Termination reason: Unknown
% 2.13/0.65 % (19308)Termination phase: Saturation
% 2.13/0.65
% 2.13/0.65 % (19308)Memory used [KB]: 8059
% 2.13/0.65 % (19308)Time elapsed: 0.218 s
% 2.13/0.65 % (19308)Instructions burned: 82 (million)
% 2.13/0.65 % (19308)------------------------------
% 2.13/0.65 % (19308)------------------------------
% 2.13/0.65 % (19318)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.24/0.65 % (19320)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.24/0.66 % (19322)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.24/0.66 % (19323)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.24/0.67 % (19319)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.24/0.67 % (19325)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.24/0.67 % (19324)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.24/0.68 % (19326)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/84Mi)
% 2.24/0.68 % (19321)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.24/0.68 % (19327)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/131Mi)
% 2.24/0.68 % (19328)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/93Mi)
% 2.24/0.69 % (19312)Instruction limit reached!
% 2.24/0.69 % (19312)------------------------------
% 2.24/0.69 % (19312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.69 % (19312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.69 % (19312)Termination reason: Unknown
% 2.24/0.69 % (19312)Termination phase: Saturation
% 2.24/0.69
% 2.24/0.69 % (19312)Memory used [KB]: 6524
% 2.24/0.69 % (19312)Time elapsed: 0.272 s
% 2.24/0.69 % (19312)Instructions burned: 101 (million)
% 2.24/0.69 % (19312)------------------------------
% 2.24/0.69 % (19312)------------------------------
% 2.24/0.69 % (19286)First to succeed.
% 2.24/0.70 % (19286)Refutation found. Thanks to Tanya!
% 2.24/0.70 % SZS status Theorem for theBenchmark
% 2.24/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.24/0.70 % (19286)------------------------------
% 2.24/0.70 % (19286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.70 % (19286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.70 % (19286)Termination reason: Refutation
% 2.24/0.70
% 2.24/0.70 % (19286)Memory used [KB]: 6908
% 2.24/0.70 % (19286)Time elapsed: 0.296 s
% 2.24/0.70 % (19286)Instructions burned: 87 (million)
% 2.24/0.70 % (19286)------------------------------
% 2.24/0.70 % (19286)------------------------------
% 2.24/0.70 % (19285)Success in time 0.35 s
%------------------------------------------------------------------------------