TSTP Solution File: NUM498+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n015.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 18:05:27 EDT 2022
% Result : Theorem 2.48s 0.73s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 30
% Syntax : Number of formulae : 173 ( 26 unt; 0 def)
% Number of atoms : 623 ( 198 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 741 ( 291 ~; 305 |; 98 &)
% ( 22 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 153 ( 137 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3241,plain,
$false,
inference(avatar_sat_refutation,[],[f290,f672,f705,f788,f1650,f1732,f2183,f2980,f3218,f3240]) ).
fof(f3240,plain,
( ~ spl4_3
| spl4_5
| ~ spl4_46
| spl4_53 ),
inference(avatar_contradiction_clause,[],[f3239]) ).
fof(f3239,plain,
( $false
| ~ spl4_3
| spl4_5
| ~ spl4_46
| spl4_53 ),
inference(subsumption_resolution,[],[f3238,f1664]) ).
fof(f1664,plain,
( sz00 != sdtasdt0(xn,xm)
| spl4_53 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f1663,plain,
( spl4_53
<=> sz00 = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).
fof(f3238,plain,
( sz00 = sdtasdt0(xn,xm)
| ~ spl4_3
| spl4_5
| ~ spl4_46 ),
inference(forward_demodulation,[],[f3237,f318]) ).
fof(f318,plain,
sz00 = sdtasdt0(xp,sz00),
inference(resolution,[],[f233,f226]) ).
fof(f226,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f233,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f3237,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sz00)
| ~ spl4_3
| spl4_5
| ~ spl4_46 ),
inference(forward_demodulation,[],[f2977,f285]) ).
fof(f285,plain,
( sz00 = xk
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl4_3
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f2977,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| spl4_5
| ~ spl4_46 ),
inference(forward_demodulation,[],[f2976,f197]) ).
fof(f197,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f2976,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| spl4_5
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f2975,f579]) ).
fof(f579,plain,
( sz00 != xp
| spl4_5 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f578,plain,
( spl4_5
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f2975,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| sz00 = xp
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f2974,f226]) ).
fof(f2974,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(xp)
| sz00 = xp
| ~ spl4_46 ),
inference(subsumption_resolution,[],[f2925,f1118]) ).
fof(f1118,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_46 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1117,plain,
( spl4_46
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).
fof(f2925,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(xp)
| sz00 = xp ),
inference(resolution,[],[f264,f176]) ).
fof(f176,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f264,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f240]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f162]) ).
fof(f162,plain,
! [X1,X0] :
( ~ doDivides0(X1,X0)
| sz00 = X1
| ! [X2] :
( ( sdtsldt0(X0,X1) = X2
| sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
| sdtsldt0(X0,X1) != X2 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X1,X0] :
( ~ doDivides0(X1,X0)
| sz00 = X1
| ! [X2] :
( ( sdtsldt0(X0,X1) = X2
| sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
| sdtsldt0(X0,X1) != X2 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X1,X0] :
( ~ doDivides0(X1,X0)
| sz00 = X1
| ! [X2] :
( sdtsldt0(X0,X1) = X2
<=> ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X0,X1) = X2
<=> ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) ) )
| sz00 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sz00 != X1
& doDivides0(X1,X0) )
=> ! [X2] :
( sdtsldt0(X0,X1) = X2
<=> ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) ) ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> sdtsldt0(X1,X0) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f3218,plain,
( spl4_23
| ~ spl4_55 ),
inference(avatar_contradiction_clause,[],[f3217]) ).
fof(f3217,plain,
( $false
| spl4_23
| ~ spl4_55 ),
inference(subsumption_resolution,[],[f3216,f988]) ).
fof(f988,plain,
( sz10 != xn
| spl4_23 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f987,plain,
( spl4_23
<=> sz10 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f3216,plain,
( sz10 = xn
| ~ spl4_55 ),
inference(subsumption_resolution,[],[f3215,f226]) ).
fof(f3215,plain,
( ~ aNaturalNumber0(xp)
| sz10 = xn
| ~ spl4_55 ),
inference(subsumption_resolution,[],[f3214,f237]) ).
fof(f237,plain,
xn != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( sdtlseqdt0(xn,xp)
& xn != xp
& xm != xp
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
fof(f3214,plain,
( xn = xp
| sz10 = xn
| ~ aNaturalNumber0(xp)
| ~ spl4_55 ),
inference(subsumption_resolution,[],[f3213,f227]) ).
fof(f227,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f3213,plain,
( ~ aNaturalNumber0(xn)
| xn = xp
| sz10 = xn
| ~ aNaturalNumber0(xp)
| ~ spl4_55 ),
inference(subsumption_resolution,[],[f3206,f175]) ).
fof(f175,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f3206,plain,
( ~ isPrime0(xp)
| xn = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| sz10 = xn
| ~ spl4_55 ),
inference(resolution,[],[f3042,f191]) ).
fof(f191,plain,
! [X0,X1] :
( ~ doDivides0(X1,X0)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| sz10 = X1
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ( ( ( sz10 != X0
& ! [X1] :
( X0 = X1
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| sz10 = X1 )
& sz00 != X0 )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| ( sK0(X0) != X0
& aNaturalNumber0(sK0(X0))
& doDivides0(sK0(X0),X0)
& sz10 != sK0(X0) )
| sz00 = X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f142,f143]) ).
fof(f143,plain,
! [X0] :
( ? [X2] :
( X0 != X2
& aNaturalNumber0(X2)
& doDivides0(X2,X0)
& sz10 != X2 )
=> ( sK0(X0) != X0
& aNaturalNumber0(sK0(X0))
& doDivides0(sK0(X0),X0)
& sz10 != sK0(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X0] :
( ( ( ( sz10 != X0
& ! [X1] :
( X0 = X1
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| sz10 = X1 )
& sz00 != X0 )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| ? [X2] :
( X0 != X2
& aNaturalNumber0(X2)
& doDivides0(X2,X0)
& sz10 != X2 )
| sz00 = X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( ( ( sz10 != X0
& ! [X1] :
( X0 = X1
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| sz10 = X1 )
& sz00 != X0 )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| ? [X1] :
( X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0)
& sz10 != X1 )
| sz00 = X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ( ( ( sz10 != X0
& ! [X1] :
( X0 = X1
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| sz10 = X1 )
& sz00 != X0 )
| ~ isPrime0(X0) )
& ( isPrime0(X0)
| sz10 = X0
| ? [X1] :
( X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0)
& sz10 != X1 )
| sz00 = X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( ( sz10 != X0
& ! [X1] :
( X0 = X1
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| sz10 = X1 )
& sz00 != X0 )
<=> isPrime0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f3042,plain,
( doDivides0(xn,xp)
| ~ spl4_55 ),
inference(subsumption_resolution,[],[f3041,f227]) ).
fof(f3041,plain,
( doDivides0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ spl4_55 ),
inference(subsumption_resolution,[],[f3037,f228]) ).
fof(f228,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f3037,plain,
( doDivides0(xn,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl4_55 ),
inference(superposition,[],[f291,f1699]) ).
fof(f1699,plain,
( xp = sdtasdt0(xn,xm)
| ~ spl4_55 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f1697,plain,
( spl4_55
<=> xp = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).
fof(f291,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ),
inference(subsumption_resolution,[],[f266,f213]) ).
fof(f213,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f266,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f244]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK2(X0,X1))
& sdtasdt0(X0,sK2(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f165,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
=> ( aNaturalNumber0(sK2(X0,X1))
& sdtasdt0(X0,sK2(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f70]) ).
fof(f70,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/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f2980,plain,
( spl4_55
| ~ spl4_4
| spl4_5
| ~ spl4_46 ),
inference(avatar_split_clause,[],[f2979,f1117,f578,f287,f1697]) ).
fof(f287,plain,
( spl4_4
<=> sz10 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f2979,plain,
( xp = sdtasdt0(xn,xm)
| ~ spl4_4
| spl4_5
| ~ spl4_46 ),
inference(forward_demodulation,[],[f2978,f313]) ).
fof(f313,plain,
xp = sdtasdt0(xp,sz10),
inference(resolution,[],[f232,f226]) ).
fof(f232,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& sdtasdt0(sz10,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& sdtasdt0(sz10,X0) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f2978,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sz10)
| ~ spl4_4
| spl4_5
| ~ spl4_46 ),
inference(forward_demodulation,[],[f2977,f289]) ).
fof(f289,plain,
( sz10 = xk
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f2183,plain,
~ spl4_23,
inference(avatar_contradiction_clause,[],[f2182]) ).
fof(f2182,plain,
( $false
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f2181,f210]) ).
fof(f210,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( sz10 = xk
| sz00 = xk )
& ~ doDivides0(xp,xn)
& ~ doDivides0(xp,xm) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
( ~ doDivides0(xp,xm)
& ~ doDivides0(xp,xn)
& ( sz10 = xk
| sz00 = xk ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,negated_conjecture,
~ ( ( sz10 = xk
| sz00 = xk )
=> ( doDivides0(xp,xm)
| doDivides0(xp,xn) ) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
( ( sz10 = xk
| sz00 = xk )
=> ( doDivides0(xp,xm)
| doDivides0(xp,xn) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f2181,plain,
( doDivides0(xp,xm)
| ~ spl4_23 ),
inference(forward_demodulation,[],[f2108,f307]) ).
fof(f307,plain,
xm = sdtasdt0(sz10,xm),
inference(resolution,[],[f231,f228]) ).
fof(f231,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f116]) ).
fof(f2108,plain,
( doDivides0(xp,sdtasdt0(sz10,xm))
| ~ spl4_23 ),
inference(superposition,[],[f176,f989]) ).
fof(f989,plain,
( sz10 = xn
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f1732,plain,
( spl4_8
| spl4_10
| ~ spl4_53 ),
inference(avatar_contradiction_clause,[],[f1731]) ).
fof(f1731,plain,
( $false
| spl4_8
| spl4_10
| ~ spl4_53 ),
inference(subsumption_resolution,[],[f1730,f605]) ).
fof(f605,plain,
( sz00 != xm
| spl4_10 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f604,plain,
( spl4_10
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f1730,plain,
( sz00 = xm
| spl4_8
| ~ spl4_53 ),
inference(subsumption_resolution,[],[f1729,f227]) ).
fof(f1729,plain,
( ~ aNaturalNumber0(xn)
| sz00 = xm
| spl4_8
| ~ spl4_53 ),
inference(subsumption_resolution,[],[f1728,f228]) ).
fof(f1728,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| sz00 = xm
| spl4_8
| ~ spl4_53 ),
inference(subsumption_resolution,[],[f1722,f1398]) ).
fof(f1398,plain,
( ~ sdtlseqdt0(xn,sz00)
| spl4_8 ),
inference(subsumption_resolution,[],[f1397,f594]) ).
fof(f594,plain,
( sz00 != xn
| spl4_8 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f593,plain,
( spl4_8
<=> sz00 = xn ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f1397,plain,
( ~ sdtlseqdt0(xn,sz00)
| sz00 = xn ),
inference(subsumption_resolution,[],[f1396,f227]) ).
fof(f1396,plain,
( ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| sz00 = xn ),
inference(subsumption_resolution,[],[f1353,f230]) ).
fof(f230,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f1353,plain,
( ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| sz00 = xn
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f254,f418]) ).
fof(f418,plain,
sdtlseqdt0(sz00,xn),
inference(subsumption_resolution,[],[f417,f227]) ).
fof(f417,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn) ),
inference(subsumption_resolution,[],[f407,f230]) ).
fof(f407,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| sdtlseqdt0(sz00,xn) ),
inference(superposition,[],[f293,f296]) ).
fof(f296,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f199,f227]) ).
fof(f199,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f293,plain,
! [X3,X1] :
( sdtlseqdt0(X1,sdtpldt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(subsumption_resolution,[],[f262,f174]) ).
fof(f174,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f262,plain,
! [X3,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X3))
| ~ aNaturalNumber0(X3)
| sdtlseqdt0(X1,sdtpldt0(X1,X3)) ),
inference(equality_resolution,[],[f218]) ).
fof(f218,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X1,X3) != X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( ( ( aNaturalNumber0(sK1(X0,X1))
& sdtpldt0(X1,sK1(X0,X1)) = X0 )
| ~ sdtlseqdt0(X1,X0) )
& ( sdtlseqdt0(X1,X0)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtpldt0(X1,X3) != X0 ) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f154,f155]) ).
fof(f155,plain,
! [X0,X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X1,X2) = X0 )
=> ( aNaturalNumber0(sK1(X0,X1))
& sdtpldt0(X1,sK1(X0,X1)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0,X1] :
( ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X1,X2) = X0 )
| ~ sdtlseqdt0(X1,X0) )
& ( sdtlseqdt0(X1,X0)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtpldt0(X1,X3) != X0 ) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X1,X0] :
( ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X1,X0] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtlseqdt0(X0,X1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X1,X0] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtlseqdt0(X0,X1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f254,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f1722,plain,
( sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| sz00 = xm
| ~ spl4_53 ),
inference(superposition,[],[f185,f1665]) ).
fof(f1665,plain,
( sz00 = sdtasdt0(xn,xm)
| ~ spl4_53 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f185,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| sz00 = X1
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X1,X0] :
( sdtlseqdt0(X0,sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 != X1
=> sdtlseqdt0(X0,sdtasdt0(X0,X1)) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sz00 != X0
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
fof(f1650,plain,
spl4_46,
inference(avatar_contradiction_clause,[],[f1649]) ).
fof(f1649,plain,
( $false
| spl4_46 ),
inference(subsumption_resolution,[],[f1648,f228]) ).
fof(f1648,plain,
( ~ aNaturalNumber0(xm)
| spl4_46 ),
inference(subsumption_resolution,[],[f1647,f227]) ).
fof(f1647,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_46 ),
inference(resolution,[],[f1119,f213]) ).
fof(f1119,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_46 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f788,plain,
~ spl4_10,
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f787,plain,
( $false
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f762,f387]) ).
fof(f387,plain,
doDivides0(xp,sz00),
inference(subsumption_resolution,[],[f386,f226]) ).
fof(f386,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f379,f230]) ).
fof(f379,plain,
( ~ aNaturalNumber0(sz00)
| doDivides0(xp,sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f291,f318]) ).
fof(f762,plain,
( ~ doDivides0(xp,sz00)
| ~ spl4_10 ),
inference(superposition,[],[f210,f606]) ).
fof(f606,plain,
( sz00 = xm
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f705,plain,
~ spl4_8,
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f704,plain,
( $false
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f680,f387]) ).
fof(f680,plain,
( ~ doDivides0(xp,sz00)
| ~ spl4_8 ),
inference(superposition,[],[f211,f595]) ).
fof(f595,plain,
( sz00 = xn
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f211,plain,
~ doDivides0(xp,xn),
inference(cnf_transformation,[],[f111]) ).
fof(f672,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f671,plain,
( $false
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f633,f418]) ).
fof(f633,plain,
( ~ sdtlseqdt0(sz00,xn)
| ~ spl4_5 ),
inference(superposition,[],[f250,f580]) ).
fof(f580,plain,
( sz00 = xp
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f250,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
fof(f290,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f212,f287,f283]) ).
fof(f212,plain,
( sz10 = xk
| sz00 = xk ),
inference(cnf_transformation,[],[f111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM498+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n015.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 06:58:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (32279)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.50 % (32287)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (32269)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (32271)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (32264)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (32268)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (32266)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.35/0.53 % (32281)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.35/0.53 % (32267)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.35/0.53 % (32270)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.53 % (32261)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.35/0.53 % (32273)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.35/0.53 % (32267)Instruction limit reached!
% 1.35/0.53 % (32267)------------------------------
% 1.35/0.53 % (32267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 % (32267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53 % (32267)Termination reason: Unknown
% 1.35/0.53 % (32267)Termination phase: Preprocessing 3
% 1.35/0.53
% 1.35/0.53 % (32267)Memory used [KB]: 1023
% 1.35/0.53 % (32267)Time elapsed: 0.002 s
% 1.35/0.53 % (32267)Instructions burned: 3 (million)
% 1.35/0.53 % (32267)------------------------------
% 1.35/0.53 % (32267)------------------------------
% 1.35/0.54 % (32285)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.35/0.54 % (32272)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.35/0.54 % (32260)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.35/0.54 % (32265)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.54 % (32284)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.35/0.54 % (32286)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.35/0.54 % (32288)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.35/0.54 % (32262)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.55 % (32263)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.55 TRYING [1]
% 1.59/0.55 % (32266)Instruction limit reached!
% 1.59/0.55 % (32266)------------------------------
% 1.59/0.55 % (32266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55 % (32276)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.59/0.55 % (32283)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.59/0.55 % (32277)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.59/0.55 % (32280)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.59/0.55 % (32266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55 % (32266)Termination reason: Unknown
% 1.59/0.55 % (32266)Termination phase: Saturation
% 1.59/0.55
% 1.59/0.55 % (32266)Memory used [KB]: 5628
% 1.59/0.55 % (32266)Time elapsed: 0.121 s
% 1.59/0.55 % (32266)Instructions burned: 8 (million)
% 1.59/0.55 % (32266)------------------------------
% 1.59/0.55 % (32266)------------------------------
% 1.59/0.55 TRYING [1]
% 1.59/0.56 TRYING [2]
% 1.59/0.56 TRYING [2]
% 1.59/0.56 % (32275)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.59/0.56 % (32259)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.59/0.56 TRYING [3]
% 1.59/0.56 TRYING [3]
% 1.59/0.57 TRYING [1]
% 1.59/0.57 % (32278)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.59/0.57 TRYING [2]
% 1.59/0.57 % (32274)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.59/0.57 % (32260)Refutation not found, incomplete strategy% (32260)------------------------------
% 1.59/0.57 % (32260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (32260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (32260)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.57
% 1.59/0.57 % (32260)Memory used [KB]: 5628
% 1.59/0.57 % (32260)Time elapsed: 0.154 s
% 1.59/0.57 % (32260)Instructions burned: 9 (million)
% 1.59/0.57 % (32260)------------------------------
% 1.59/0.57 % (32260)------------------------------
% 1.59/0.57 % (32282)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.59/0.59 % (32261)Instruction limit reached!
% 1.59/0.59 % (32261)------------------------------
% 1.59/0.59 % (32261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 TRYING [3]
% 1.59/0.59 % (32276)Instruction limit reached!
% 1.59/0.59 % (32276)------------------------------
% 1.59/0.59 % (32276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (32265)Instruction limit reached!
% 1.59/0.60 % (32265)------------------------------
% 1.59/0.60 % (32265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (32265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (32265)Termination reason: Unknown
% 1.59/0.60 % (32265)Termination phase: Finite model building SAT solving
% 1.59/0.60
% 1.59/0.60 % (32265)Memory used [KB]: 7547
% 1.59/0.60 % (32265)Time elapsed: 0.154 s
% 1.59/0.60 % (32265)Instructions burned: 51 (million)
% 1.59/0.60 % (32265)------------------------------
% 1.59/0.60 % (32265)------------------------------
% 1.59/0.60 % (32261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (32261)Termination reason: Unknown
% 1.59/0.60 % (32261)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (32261)Memory used [KB]: 1535
% 1.59/0.60 % (32261)Time elapsed: 0.198 s
% 1.59/0.60 % (32261)Instructions burned: 38 (million)
% 1.59/0.60 % (32261)------------------------------
% 1.59/0.60 % (32261)------------------------------
% 1.59/0.60 % (32276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (32276)Termination reason: Unknown
% 1.59/0.60 % (32276)Termination phase: Finite model building constraint generation
% 1.59/0.60
% 1.59/0.60 % (32276)Memory used [KB]: 7419
% 1.59/0.60 % (32276)Time elapsed: 0.182 s
% 1.59/0.60 % (32276)Instructions burned: 60 (million)
% 1.59/0.60 % (32276)------------------------------
% 1.59/0.60 % (32276)------------------------------
% 1.59/0.62 % (32269)Instruction limit reached!
% 1.59/0.62 % (32269)------------------------------
% 1.59/0.62 % (32269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.62 % (32268)Instruction limit reached!
% 1.59/0.62 % (32268)------------------------------
% 1.59/0.62 % (32268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.62 % (32268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.62 % (32268)Termination reason: Unknown
% 1.59/0.62 % (32268)Termination phase: Saturation
% 1.59/0.62
% 1.59/0.62 % (32268)Memory used [KB]: 1791
% 1.59/0.62 % (32268)Time elapsed: 0.223 s
% 1.59/0.62 % (32268)Instructions burned: 51 (million)
% 1.59/0.62 % (32268)------------------------------
% 1.59/0.62 % (32268)------------------------------
% 1.59/0.62 % (32269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.62 % (32269)Termination reason: Unknown
% 1.59/0.62 % (32269)Termination phase: Saturation
% 1.59/0.62
% 1.59/0.62 % (32269)Memory used [KB]: 6396
% 1.59/0.62 % (32269)Time elapsed: 0.215 s
% 1.59/0.62 % (32269)Instructions burned: 50 (million)
% 1.59/0.62 % (32269)------------------------------
% 1.59/0.62 % (32269)------------------------------
% 1.59/0.63 TRYING [4]
% 1.59/0.63 % (32262)Instruction limit reached!
% 1.59/0.63 % (32262)------------------------------
% 1.59/0.63 % (32262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.63 % (32262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.63 % (32262)Termination reason: Unknown
% 1.59/0.63 % (32262)Termination phase: Saturation
% 1.59/0.63
% 1.59/0.63 % (32262)Memory used [KB]: 6268
% 1.59/0.63 % (32262)Time elapsed: 0.219 s
% 1.59/0.63 % (32262)Instructions burned: 53 (million)
% 1.59/0.63 % (32262)------------------------------
% 1.59/0.63 % (32262)------------------------------
% 1.59/0.63 % (32264)Instruction limit reached!
% 1.59/0.63 % (32264)------------------------------
% 1.59/0.63 % (32264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.63 % (32264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.63 % (32264)Termination reason: Unknown
% 1.59/0.63 % (32264)Termination phase: Saturation
% 1.59/0.63
% 1.59/0.63 % (32264)Memory used [KB]: 6012
% 1.59/0.63 % (32264)Time elapsed: 0.220 s
% 1.59/0.63 % (32264)Instructions burned: 48 (million)
% 1.59/0.63 % (32264)------------------------------
% 1.59/0.63 % (32264)------------------------------
% 2.21/0.64 % (32273)Instruction limit reached!
% 2.21/0.64 % (32273)------------------------------
% 2.21/0.64 % (32273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (32263)Instruction limit reached!
% 2.21/0.65 % (32263)------------------------------
% 2.21/0.65 % (32263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (32263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (32263)Termination reason: Unknown
% 2.21/0.65 % (32263)Termination phase: Saturation
% 2.21/0.65
% 2.21/0.65 % (32263)Memory used [KB]: 6012
% 2.21/0.65 % (32263)Time elapsed: 0.240 s
% 2.21/0.65 % (32263)Instructions burned: 52 (million)
% 2.21/0.65 % (32263)------------------------------
% 2.21/0.65 % (32263)------------------------------
% 2.21/0.67 % (32290)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.21/0.67 % (32273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.67 % (32273)Termination reason: Unknown
% 2.21/0.67 % (32273)Termination phase: Saturation
% 2.21/0.67
% 2.21/0.67 % (32273)Memory used [KB]: 6652
% 2.21/0.67 % (32273)Time elapsed: 0.052 s
% 2.21/0.67 % (32273)Instructions burned: 68 (million)
% 2.21/0.67 % (32273)------------------------------
% 2.21/0.67 % (32273)------------------------------
% 2.21/0.68 % (32285)Instruction limit reached!
% 2.21/0.68 % (32285)------------------------------
% 2.21/0.68 % (32285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.68 % (32285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.68 % (32285)Termination reason: Unknown
% 2.21/0.68 % (32285)Termination phase: Saturation
% 2.21/0.68
% 2.21/0.68 % (32285)Memory used [KB]: 6652
% 2.21/0.68 % (32285)Time elapsed: 0.040 s
% 2.21/0.68 % (32285)Instructions burned: 68 (million)
% 2.21/0.68 % (32285)------------------------------
% 2.21/0.68 % (32285)------------------------------
% 2.48/0.69 % (32289)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.48/0.70 % (32279)Instruction limit reached!
% 2.48/0.70 % (32279)------------------------------
% 2.48/0.70 % (32279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.71 % (32274)Instruction limit reached!
% 2.48/0.71 % (32274)------------------------------
% 2.48/0.71 % (32274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.71 % (32274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.71 % (32274)Termination reason: Unknown
% 2.48/0.71 % (32274)Termination phase: Saturation
% 2.48/0.71
% 2.48/0.71 % (32274)Memory used [KB]: 2046
% 2.48/0.71 % (32274)Time elapsed: 0.319 s
% 2.48/0.71 % (32274)Instructions burned: 75 (million)
% 2.48/0.71 % (32274)------------------------------
% 2.48/0.71 % (32274)------------------------------
% 2.48/0.71 % (32279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.71 % (32279)Termination reason: Unknown
% 2.48/0.71 % (32279)Termination phase: Saturation
% 2.48/0.71
% 2.48/0.71 % (32279)Memory used [KB]: 6012
% 2.48/0.71 % (32279)Time elapsed: 0.283 s
% 2.48/0.71 % (32279)Instructions burned: 176 (million)
% 2.48/0.71 % (32279)------------------------------
% 2.48/0.71 % (32279)------------------------------
% 2.48/0.71 % (32291)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.48/0.71 % (32271)Instruction limit reached!
% 2.48/0.71 % (32271)------------------------------
% 2.48/0.71 % (32271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.71 % (32271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.71 % (32271)Termination reason: Unknown
% 2.48/0.71 % (32271)Termination phase: Saturation
% 2.48/0.71
% 2.48/0.71 % (32271)Memory used [KB]: 6908
% 2.48/0.71 % (32271)Time elapsed: 0.306 s
% 2.48/0.71 % (32271)Instructions burned: 101 (million)
% 2.48/0.71 % (32271)------------------------------
% 2.48/0.71 % (32271)------------------------------
% 2.48/0.71 % (32292)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.48/0.71 % (32270)Instruction limit reached!
% 2.48/0.71 % (32270)------------------------------
% 2.48/0.71 % (32270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.71 % (32270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.71 % (32270)Termination reason: Unknown
% 2.48/0.71 % (32270)Termination phase: Saturation
% 2.48/0.71
% 2.48/0.71 % (32270)Memory used [KB]: 7291
% 2.48/0.71 % (32270)Time elapsed: 0.323 s
% 2.48/0.71 % (32270)Instructions burned: 100 (million)
% 2.48/0.71 % (32270)------------------------------
% 2.48/0.71 % (32270)------------------------------
% 2.48/0.72 % (32294)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.48/0.72 % (32278)Instruction limit reached!
% 2.48/0.72 % (32278)------------------------------
% 2.48/0.72 % (32278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.72 % (32278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.72 % (32278)Termination reason: Unknown
% 2.48/0.72 % (32278)Termination phase: Saturation
% 2.48/0.72
% 2.48/0.72 % (32278)Memory used [KB]: 2046
% 2.48/0.72 % (32278)Time elapsed: 0.333 s
% 2.48/0.72 % (32278)Instructions burned: 101 (million)
% 2.48/0.72 % (32278)------------------------------
% 2.48/0.72 % (32278)------------------------------
% 2.48/0.72 % (32272)Instruction limit reached!
% 2.48/0.72 % (32272)------------------------------
% 2.48/0.72 % (32272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.72 % (32272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.72 % (32272)Termination reason: Unknown
% 2.48/0.72 % (32272)Termination phase: Saturation
% 2.48/0.72
% 2.48/0.72 % (32272)Memory used [KB]: 6908
% 2.48/0.72 % (32272)Time elapsed: 0.338 s
% 2.48/0.72 % (32272)Instructions burned: 100 (million)
% 2.48/0.72 % (32272)------------------------------
% 2.48/0.72 % (32272)------------------------------
% 2.48/0.73 % (32284)First to succeed.
% 2.48/0.73 % (32284)Refutation found. Thanks to Tanya!
% 2.48/0.73 % SZS status Theorem for theBenchmark
% 2.48/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.48/0.73 % (32284)------------------------------
% 2.48/0.73 % (32284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.73 % (32284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.73 % (32284)Termination reason: Refutation
% 2.48/0.73
% 2.48/0.73 % (32284)Memory used [KB]: 7036
% 2.48/0.73 % (32284)Time elapsed: 0.340 s
% 2.48/0.73 % (32284)Instructions burned: 119 (million)
% 2.48/0.73 % (32284)------------------------------
% 2.48/0.73 % (32284)------------------------------
% 2.48/0.73 % (32258)Success in time 0.391 s
%------------------------------------------------------------------------------