TSTP Solution File: NUM498+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM498+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:00:07 EDT 2022
% Result : Theorem 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 26
% Syntax : Number of formulae : 137 ( 15 unt; 0 def)
% Number of atoms : 520 ( 171 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 622 ( 239 ~; 223 |; 126 &)
% ( 10 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 158 ( 125 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1070,plain,
$false,
inference(avatar_sat_refutation,[],[f344,f346,f847,f1063,f1067]) ).
fof(f1067,plain,
( spl14_25
| ~ spl14_6 ),
inference(avatar_split_clause,[],[f937,f341,f878]) ).
fof(f878,plain,
( spl14_25
<=> sz00 = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f341,plain,
( spl14_6
<=> sz00 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f937,plain,
( sz00 = sdtasdt0(xn,xm)
| ~ spl14_6 ),
inference(forward_demodulation,[],[f936,f377]) ).
fof(f377,plain,
sz00 = sF13(sz00),
inference(subsumption_resolution,[],[f376,f192]) ).
fof(f192,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f376,plain,
( ~ aNaturalNumber0(xp)
| sz00 = sF13(sz00) ),
inference(superposition,[],[f314,f287]) ).
fof(f287,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,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(f314,plain,
! [X0] : sdtasdt0(xp,X0) = sF13(X0),
introduced(function_definition,[]) ).
fof(f936,plain,
( sdtasdt0(xn,xm) = sF13(sz00)
| ~ spl14_6 ),
inference(forward_demodulation,[],[f349,f343]) ).
fof(f343,plain,
( sz00 = xk
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f349,plain,
sdtasdt0(xn,xm) = sF13(xk),
inference(forward_demodulation,[],[f216,f314]) ).
fof(f216,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f1063,plain,
( ~ spl14_4
| ~ spl14_25 ),
inference(avatar_contradiction_clause,[],[f1062]) ).
fof(f1062,plain,
( $false
| ~ spl14_4
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1055,f193]) ).
fof(f193,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f1055,plain,
( ~ aNaturalNumber0(xm)
| ~ spl14_4
| ~ spl14_25 ),
inference(resolution,[],[f1053,f919]) ).
fof(f919,plain,
( ~ sdtlseqdt0(sz00,xm)
| ~ spl14_4
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f918,f333]) ).
fof(f333,plain,
( aNaturalNumber0(sz00)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f332,plain,
( spl14_4
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f918,plain,
( ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xm)
| ~ spl14_4
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f917,f381]) ).
fof(f381,plain,
( sz00 != xm
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f380,f333]) ).
fof(f380,plain,
( ~ aNaturalNumber0(sz00)
| sz00 != xm ),
inference(superposition,[],[f315,f377]) ).
fof(f315,plain,
! [X0] :
( xm != sF13(X0)
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f282,f314]) ).
fof(f282,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| xm != sdtasdt0(xp,X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ~ doDivides0(xp,xm)
& ( sz00 = xk
| sz10 = xk )
& ~ doDivides0(xp,xn)
& ! [X0] :
( ~ aNaturalNumber0(X0)
| xm != sdtasdt0(xp,X0) )
& ! [X1] :
( xn != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1) ) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
( ~ doDivides0(xp,xn)
& ! [X1] :
( xn != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1) )
& ! [X0] :
( ~ aNaturalNumber0(X0)
| xm != sdtasdt0(xp,X0) )
& ~ doDivides0(xp,xm)
& ( sz00 = xk
| sz10 = xk ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
~ ( ( sz00 = xk
| sz10 = xk )
=> ( doDivides0(xp,xn)
| ? [X1] :
( xn = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) )
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ) ),
inference(rectify,[],[f47]) ).
fof(f47,negated_conjecture,
~ ( ( sz00 = xk
| sz10 = xk )
=> ( doDivides0(xp,xn)
| doDivides0(xp,xm)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| ? [X0] :
( xn = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
( ( sz00 = xk
| sz10 = xk )
=> ( doDivides0(xp,xn)
| doDivides0(xp,xm)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| ? [X0] :
( xn = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f917,plain,
( sz00 = xm
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xm)
| ~ spl14_4
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f916,f193]) ).
fof(f916,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xm)
| sz00 = xm
| ~ spl14_4
| ~ spl14_25 ),
inference(resolution,[],[f910,f188]) ).
fof(f188,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f910,plain,
( sdtlseqdt0(xm,sz00)
| ~ spl14_4
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f909,f193]) ).
fof(f909,plain,
( sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ spl14_4
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f908,f382]) ).
fof(f382,plain,
( sz00 != xn
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f379,f333]) ).
fof(f379,plain,
( sz00 != xn
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f316,f377]) ).
fof(f316,plain,
! [X1] :
( xn != sF13(X1)
| ~ aNaturalNumber0(X1) ),
inference(definition_folding,[],[f281,f314]) ).
fof(f281,plain,
! [X1] :
( xn != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f908,plain,
( sz00 = xn
| ~ aNaturalNumber0(xm)
| sdtlseqdt0(xm,sz00)
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f900,f194]) ).
fof(f194,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f900,plain,
( ~ aNaturalNumber0(xn)
| sdtlseqdt0(xm,sz00)
| sz00 = xn
| ~ aNaturalNumber0(xm)
| ~ spl14_25 ),
inference(superposition,[],[f591,f880]) ).
fof(f880,plain,
( sz00 = sdtasdt0(xn,xm)
| ~ spl14_25 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f591,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f577]) ).
fof(f577,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1
| sdtlseqdt0(X0,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f264,f272]) ).
fof(f272,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f264,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( sz00 = X1
| sdtlseqdt0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sz00 != X1
=> sdtlseqdt0(X0,sdtasdt0(X0,X1)) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 != X0
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f1053,plain,
( ! [X5] :
( sdtlseqdt0(sz00,X5)
| ~ aNaturalNumber0(X5) )
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f1049,f333]) ).
fof(f1049,plain,
! [X5] :
( sdtlseqdt0(sz00,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(sz00) ),
inference(duplicate_literal_removal,[],[f1044]) ).
fof(f1044,plain,
! [X5] :
( sdtlseqdt0(sz00,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X5) ),
inference(superposition,[],[f1039,f249]) ).
fof(f249,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,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/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f1039,plain,
! [X3,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3) ),
inference(subsumption_resolution,[],[f310,f265]) ).
fof(f265,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X1,X0] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f310,plain,
! [X3,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X3))
| sdtlseqdt0(X0,sdtpldt0(X0,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f273]) ).
fof(f273,plain,
! [X3,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X0,X3) != X1 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( ( ( aNaturalNumber0(sK10(X0,X1))
& sdtpldt0(X0,sK10(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtpldt0(X0,X3) != X1 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f177,f178]) ).
fof(f178,plain,
! [X0,X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
=> ( aNaturalNumber0(sK10(X0,X1))
& sdtpldt0(X0,sK10(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtpldt0(X0,X3) != X1 ) ) ) ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) ) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtlseqdt0(X0,X1) ) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtlseqdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f847,plain,
~ spl14_5,
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f846,plain,
( $false
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f845,f193]) ).
fof(f845,plain,
( ~ aNaturalNumber0(xm)
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f836,f235]) ).
fof(f235,plain,
xm != xp,
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( xn != xp
& xp = sdtpldt0(xm,sK8)
& aNaturalNumber0(sK8)
& xp = sdtpldt0(xn,sK9)
& aNaturalNumber0(sK9)
& sdtlseqdt0(xn,xp)
& sdtlseqdt0(xm,xp)
& xm != xp ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f164,f166,f165]) ).
fof(f165,plain,
( ? [X0] :
( xp = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) )
=> ( xp = sdtpldt0(xm,sK8)
& aNaturalNumber0(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
( ? [X1] :
( xp = sdtpldt0(xn,X1)
& aNaturalNumber0(X1) )
=> ( xp = sdtpldt0(xn,sK9)
& aNaturalNumber0(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( xn != xp
& ? [X0] :
( xp = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) )
& ? [X1] :
( xp = sdtpldt0(xn,X1)
& aNaturalNumber0(X1) )
& sdtlseqdt0(xn,xp)
& sdtlseqdt0(xm,xp)
& xm != xp ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
( xn != xp
& ? [X1] :
( xp = sdtpldt0(xm,X1)
& aNaturalNumber0(X1) )
& ? [X0] :
( xp = sdtpldt0(xn,X0)
& aNaturalNumber0(X0) )
& sdtlseqdt0(xn,xp)
& sdtlseqdt0(xm,xp)
& xm != xp ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& xm != xp
& xn != xp
& ? [X0] :
( xp = sdtpldt0(xn,X0)
& aNaturalNumber0(X0) )
& sdtlseqdt0(xn,xp)
& ? [X0] :
( aNaturalNumber0(X0)
& xp = sdtpldt0(xm,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f836,plain,
( xm = xp
| ~ aNaturalNumber0(xm)
| ~ spl14_5 ),
inference(superposition,[],[f245,f823]) ).
fof(f823,plain,
( xp = sdtasdt0(sz10,xm)
| ~ spl14_5 ),
inference(backward_demodulation,[],[f368,f812]) ).
fof(f812,plain,
( sz10 = xn
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f811,f242]) ).
fof(f242,plain,
xn != xp,
inference(cnf_transformation,[],[f167]) ).
fof(f811,plain,
( xn = xp
| sz10 = xn
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f809,f194]) ).
fof(f809,plain,
( ~ aNaturalNumber0(xn)
| xn = xp
| sz10 = xn
| ~ spl14_5 ),
inference(resolution,[],[f793,f228]) ).
fof(f228,plain,
! [X1] :
( ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1)
| xp = X1
| sz10 = X1 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( sz00 != xp
& isPrime0(xp)
& sz10 != xp
& aNaturalNumber0(sK7)
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK7)
& doDivides0(xp,sdtasdt0(xn,xm))
& ! [X1] :
( sz10 = X1
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xp = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f78,f162]) ).
fof(f162,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
=> ( aNaturalNumber0(sK7)
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( sz00 != xp
& isPrime0(xp)
& sz10 != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xm))
& ! [X1] :
( sz10 = X1
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xp = X1 ) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
( sz10 != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& sz00 != xp
& ! [X1] :
( sz10 = X1
| xp = X1
| ~ aNaturalNumber0(X1)
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) ) )
& isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
( sz10 != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& sz00 != xp
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = xp )
| doDivides0(X1,xp) ) )
=> ( sz10 = X1
| xp = X1 ) )
& isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& sz10 != xp
& isPrime0(xp)
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( doDivides0(X0,xp)
| ? [X1] :
( sdtasdt0(X0,X1) = xp
& aNaturalNumber0(X1) ) ) )
=> ( xp = X0
| sz10 = X0 ) )
& sz00 != xp
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f793,plain,
( doDivides0(xn,xp)
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f792,f194]) ).
fof(f792,plain,
( doDivides0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f782,f193]) ).
fof(f782,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| doDivides0(xn,xp)
| ~ spl14_5 ),
inference(superposition,[],[f771,f368]) ).
fof(f771,plain,
! [X3,X0] :
( doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3) ),
inference(subsumption_resolution,[],[f302,f214]) ).
fof(f214,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f302,plain,
! [X3,X0] :
( doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X3)) ),
inference(equality_resolution,[],[f211]) ).
fof(f211,plain,
! [X3,X0,X1] :
( ~ aNaturalNumber0(X1)
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ( ( aNaturalNumber0(sK6(X0,X1))
& sdtasdt0(X0,sK6(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1 ) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f156,f157]) ).
fof(f157,plain,
! [X0,X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
=> ( aNaturalNumber0(sK6(X0,X1))
& sdtasdt0(X0,sK6(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1 ) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
<=> doDivides0(X0,X1) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X1,X0] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
<=> doDivides0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
<=> doDivides0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f368,plain,
( xp = sdtasdt0(xn,xm)
| ~ spl14_5 ),
inference(backward_demodulation,[],[f350,f361]) ).
fof(f361,plain,
xp = sF13(sz10),
inference(subsumption_resolution,[],[f359,f192]) ).
fof(f359,plain,
( ~ aNaturalNumber0(xp)
| xp = sF13(sz10) ),
inference(superposition,[],[f244,f314]) ).
fof(f244,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(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(f350,plain,
( sdtasdt0(xn,xm) = sF13(sz10)
| ~ spl14_5 ),
inference(forward_demodulation,[],[f349,f339]) ).
fof(f339,plain,
( sz10 = xk
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl14_5
<=> sz10 = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f245,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f346,plain,
spl14_4,
inference(avatar_split_clause,[],[f271,f332]) ).
fof(f271,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f344,plain,
( spl14_5
| spl14_6 ),
inference(avatar_split_clause,[],[f284,f341,f337]) ).
fof(f284,plain,
( sz00 = xk
| sz10 = xk ),
inference(cnf_transformation,[],[f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM498+3 : 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_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 06:55:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.47 % (32631)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)
% 0.20/0.47 % (32623)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)
% 0.20/0.51 % (32617)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)
% 0.20/0.51 % (32617)Instruction limit reached!
% 0.20/0.51 % (32617)------------------------------
% 0.20/0.51 % (32617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (32617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (32617)Termination reason: Unknown
% 0.20/0.51 % (32617)Termination phase: Equality resolution with deletion
% 0.20/0.51
% 0.20/0.51 % (32617)Memory used [KB]: 1535
% 0.20/0.51 % (32617)Time elapsed: 0.003 s
% 0.20/0.51 % (32617)Instructions burned: 4 (million)
% 0.20/0.51 % (32617)------------------------------
% 0.20/0.51 % (32617)------------------------------
% 0.20/0.52 % (32637)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)
% 0.20/0.52 % (32629)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)
% 0.20/0.52 % (32619)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)
% 0.20/0.52 % (32625)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)
% 0.20/0.52 % (32639)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)
% 0.20/0.52 % (32631)Instruction limit reached!
% 0.20/0.52 % (32631)------------------------------
% 0.20/0.52 % (32631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32616)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)
% 0.20/0.53 % (32619)Instruction limit reached!
% 0.20/0.53 % (32619)------------------------------
% 0.20/0.53 % (32619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32619)Termination reason: Unknown
% 0.20/0.53 % (32619)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (32619)Memory used [KB]: 6012
% 0.20/0.53 % (32619)Time elapsed: 0.006 s
% 0.20/0.53 % (32619)Instructions burned: 13 (million)
% 0.20/0.53 % (32619)------------------------------
% 0.20/0.53 % (32619)------------------------------
% 0.20/0.53 % (32631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32629)Instruction limit reached!
% 0.20/0.53 % (32629)------------------------------
% 0.20/0.53 % (32629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32629)Termination reason: Unknown
% 0.20/0.53 % (32629)Termination phase: Clausification
% 0.20/0.53
% 0.20/0.53 % (32629)Memory used [KB]: 1535
% 0.20/0.53 % (32629)Time elapsed: 0.005 s
% 0.20/0.53 % (32629)Instructions burned: 3 (million)
% 0.20/0.53 % (32629)------------------------------
% 0.20/0.53 % (32629)------------------------------
% 0.20/0.53 % (32631)Termination reason: Unknown
% 0.20/0.53 % (32631)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (32631)Memory used [KB]: 6268
% 0.20/0.53 % (32631)Time elapsed: 0.100 s
% 0.20/0.53 % (32631)Instructions burned: 50 (million)
% 0.20/0.53 % (32631)------------------------------
% 0.20/0.53 % (32631)------------------------------
% 0.20/0.53 % (32621)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)
% 0.20/0.53 % (32615)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (32641)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)
% 0.20/0.53 % (32644)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)
% 0.20/0.53 % (32623)Instruction limit reached!
% 0.20/0.53 % (32623)------------------------------
% 0.20/0.53 % (32623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32623)Termination reason: Unknown
% 0.20/0.53 % (32623)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (32623)Memory used [KB]: 7036
% 0.20/0.53 % (32623)Time elapsed: 0.113 s
% 0.20/0.53 % (32623)Instructions burned: 49 (million)
% 0.20/0.53 % (32623)------------------------------
% 0.20/0.53 % (32623)------------------------------
% 0.20/0.53 % (32642)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)
% 0.20/0.53 % (32620)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)
% 0.20/0.53 % (32635)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)
% 0.20/0.53 % (32633)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)
% 0.20/0.53 % (32618)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)
% 0.20/0.53 % (32633)Instruction limit reached!
% 0.20/0.53 % (32633)------------------------------
% 0.20/0.53 % (32633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32633)Termination reason: Unknown
% 0.20/0.53 % (32633)Termination phase: SInE selection
% 0.20/0.53
% 0.20/0.53 % (32633)Memory used [KB]: 1407
% 0.20/0.53 % (32633)Time elapsed: 0.002 s
% 0.20/0.53 % (32633)Instructions burned: 2 (million)
% 0.20/0.53 % (32633)------------------------------
% 0.20/0.53 % (32633)------------------------------
% 0.20/0.53 % (32640)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)
% 0.20/0.54 % (32638)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)
% 0.20/0.54 % (32630)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)
% 0.20/0.54 % (32643)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)
% 0.20/0.54 % (32625)Instruction limit reached!
% 0.20/0.54 % (32625)------------------------------
% 0.20/0.54 % (32625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32625)Termination reason: Unknown
% 0.20/0.54 % (32625)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (32625)Memory used [KB]: 6268
% 0.20/0.54 % (32625)Time elapsed: 0.142 s
% 0.20/0.54 % (32625)Instructions burned: 14 (million)
% 0.20/0.54 % (32625)------------------------------
% 0.20/0.54 % (32625)------------------------------
% 0.20/0.54 % (32636)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)
% 0.20/0.54 % (32626)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)
% 0.20/0.54 % (32627)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)
% 0.20/0.54 % (32622)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)
% 0.20/0.54 % (32626)Instruction limit reached!
% 0.20/0.54 % (32626)------------------------------
% 0.20/0.54 % (32626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32626)Termination reason: Unknown
% 0.20/0.54 % (32626)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (32626)Memory used [KB]: 6140
% 0.20/0.54 % (32626)Time elapsed: 0.004 s
% 0.20/0.54 % (32626)Instructions burned: 7 (million)
% 0.20/0.54 % (32626)------------------------------
% 0.20/0.54 % (32626)------------------------------
% 0.20/0.55 % (32628)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)
% 0.20/0.55 % (32624)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)
% 0.20/0.55 % (32634)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)
% 0.20/0.55 % (32616)Instruction limit reached!
% 0.20/0.55 % (32616)------------------------------
% 0.20/0.55 % (32616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (32616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (32616)Termination reason: Unknown
% 0.20/0.55 % (32616)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (32616)Memory used [KB]: 6268
% 0.20/0.55 % (32616)Time elapsed: 0.141 s
% 0.20/0.55 % (32616)Instructions burned: 13 (million)
% 0.20/0.55 % (32616)------------------------------
% 0.20/0.55 % (32616)------------------------------
% 0.20/0.55 % (32643)Instruction limit reached!
% 0.20/0.55 % (32643)------------------------------
% 0.20/0.55 % (32643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (32643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (32643)Termination reason: Unknown
% 0.20/0.55 % (32643)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (32643)Memory used [KB]: 6140
% 0.20/0.55 % (32643)Time elapsed: 0.005 s
% 0.20/0.55 % (32643)Instructions burned: 8 (million)
% 0.20/0.55 % (32643)------------------------------
% 0.20/0.55 % (32643)------------------------------
% 0.20/0.56 % (32627)Instruction limit reached!
% 0.20/0.56 % (32627)------------------------------
% 0.20/0.56 % (32627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (32627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (32627)Termination reason: Unknown
% 0.20/0.56 % (32627)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (32627)Memory used [KB]: 1791
% 0.20/0.56 % (32627)Time elapsed: 0.150 s
% 0.20/0.56 % (32627)Instructions burned: 17 (million)
% 0.20/0.56 % (32627)------------------------------
% 0.20/0.56 % (32627)------------------------------
% 0.20/0.56 % (32632)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56 % (32620)Instruction limit reached!
% 0.20/0.56 % (32620)------------------------------
% 0.20/0.56 % (32620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (32620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (32620)Termination reason: Unknown
% 0.20/0.56 % (32620)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (32620)Memory used [KB]: 1791
% 0.20/0.56 % (32620)Time elapsed: 0.137 s
% 0.20/0.56 % (32620)Instructions burned: 15 (million)
% 0.20/0.56 % (32620)------------------------------
% 0.20/0.56 % (32620)------------------------------
% 0.20/0.56 % (32632)Instruction limit reached!
% 0.20/0.56 % (32632)------------------------------
% 0.20/0.56 % (32632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (32632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (32632)Termination reason: Unknown
% 0.20/0.56 % (32632)Termination phase: Preprocessing 3
% 0.20/0.56
% 0.20/0.56 % (32632)Memory used [KB]: 1535
% 0.20/0.56 % (32632)Time elapsed: 0.004 s
% 0.20/0.56 % (32632)Instructions burned: 3 (million)
% 0.20/0.56 % (32632)------------------------------
% 0.20/0.56 % (32632)------------------------------
% 0.20/0.56 % (32630)Instruction limit reached!
% 0.20/0.56 % (32630)------------------------------
% 0.20/0.56 % (32630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (32630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (32630)Termination reason: Unknown
% 0.20/0.56 % (32630)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (32630)Memory used [KB]: 6140
% 0.20/0.56 % (32630)Time elapsed: 0.005 s
% 0.20/0.56 % (32630)Instructions burned: 8 (million)
% 0.20/0.56 % (32630)------------------------------
% 0.20/0.56 % (32630)------------------------------
% 0.20/0.57 % (32635)Instruction limit reached!
% 0.20/0.57 % (32635)------------------------------
% 0.20/0.57 % (32635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (32635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (32635)Termination reason: Unknown
% 0.20/0.57 % (32635)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (32635)Memory used [KB]: 6524
% 0.20/0.57 % (32635)Time elapsed: 0.159 s
% 0.20/0.57 % (32635)Instructions burned: 30 (million)
% 0.20/0.57 % (32635)------------------------------
% 0.20/0.57 % (32635)------------------------------
% 0.20/0.57 % (32644)Instruction limit reached!
% 0.20/0.57 % (32644)------------------------------
% 0.20/0.57 % (32644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (32634)Instruction limit reached!
% 0.20/0.57 % (32634)------------------------------
% 0.20/0.57 % (32634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (32644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (32644)Termination reason: Unknown
% 0.20/0.57 % (32634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (32644)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (32634)Termination reason: Unknown
% 0.20/0.57 % (32634)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (32644)Memory used [KB]: 6140
% 0.20/0.57 % (32644)Time elapsed: 0.013 s
% 0.20/0.57 % (32634)Memory used [KB]: 6268
% 0.20/0.57 % (32644)Instructions burned: 26 (million)
% 0.20/0.57 % (32634)Time elapsed: 0.159 s
% 0.20/0.57 % (32644)------------------------------
% 0.20/0.57 % (32644)------------------------------
% 0.20/0.57 % (32634)Instructions burned: 11 (million)
% 0.20/0.57 % (32634)------------------------------
% 0.20/0.57 % (32634)------------------------------
% 0.20/0.58 % (32615)First to succeed.
% 0.20/0.58 % (32642)Instruction limit reached!
% 0.20/0.58 % (32642)------------------------------
% 0.20/0.58 % (32642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (32642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (32642)Termination reason: Unknown
% 0.20/0.58 % (32642)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (32642)Memory used [KB]: 6396
% 0.20/0.58 % (32642)Time elapsed: 0.163 s
% 0.20/0.58 % (32642)Instructions burned: 25 (million)
% 0.20/0.58 % (32642)------------------------------
% 0.20/0.58 % (32642)------------------------------
% 0.20/0.58 % (32615)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Theorem for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (32615)------------------------------
% 0.20/0.58 % (32615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (32615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (32615)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (32615)Memory used [KB]: 6396
% 0.20/0.58 % (32615)Time elapsed: 0.162 s
% 0.20/0.58 % (32615)Instructions burned: 28 (million)
% 0.20/0.58 % (32615)------------------------------
% 0.20/0.58 % (32615)------------------------------
% 0.20/0.58 % (32614)Success in time 0.222 s
%------------------------------------------------------------------------------