TSTP Solution File: NUM469+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM469+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 : n002.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 17:59:48 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 100 ( 13 unt; 0 def)
% Number of atoms : 328 ( 73 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 386 ( 158 ~; 170 |; 35 &)
% ( 12 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 93 ( 86 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f325,plain,
$false,
inference(avatar_sat_refutation,[],[f141,f266,f292,f302,f308,f324]) ).
fof(f324,plain,
( spl1_2
| spl1_9 ),
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f323,plain,
( $false
| spl1_2
| spl1_9 ),
inference(subsumption_resolution,[],[f322,f119]) ).
fof(f119,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xl)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240) ).
fof(f322,plain,
( ~ aNaturalNumber0(xn)
| spl1_2
| spl1_9 ),
inference(subsumption_resolution,[],[f321,f106]) ).
fof(f106,plain,
doDivides0(xl,xn),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( doDivides0(xl,xn)
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240_04) ).
fof(f321,plain,
( ~ doDivides0(xl,xn)
| ~ aNaturalNumber0(xn)
| spl1_2
| spl1_9 ),
inference(subsumption_resolution,[],[f320,f139]) ).
fof(f139,plain,
( sz00 != xl
| spl1_2 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl1_2
<=> sz00 = xl ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f320,plain,
( sz00 = xl
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xl,xn)
| spl1_9 ),
inference(subsumption_resolution,[],[f319,f120]) ).
fof(f120,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f33]) ).
fof(f319,plain,
( ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,xn)
| sz00 = xl
| ~ aNaturalNumber0(xn)
| spl1_9 ),
inference(resolution,[],[f301,f132]) ).
fof(f132,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0) ),
inference(equality_resolution,[],[f109]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2)
| sdtsldt0(X0,X1) != X2
| sz00 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ! [X2] :
( ( sdtsldt0(X0,X1) = X2
| sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
| sdtsldt0(X0,X1) != X2 ) )
| sz00 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(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] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f301,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xl))
| spl1_9 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl1_9
<=> aNaturalNumber0(sdtsldt0(xn,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
fof(f308,plain,
( spl1_2
| spl1_8 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| spl1_2
| spl1_8 ),
inference(subsumption_resolution,[],[f306,f120]) ).
fof(f306,plain,
( ~ aNaturalNumber0(xl)
| spl1_2
| spl1_8 ),
inference(subsumption_resolution,[],[f305,f105]) ).
fof(f105,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f34]) ).
fof(f305,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| spl1_2
| spl1_8 ),
inference(subsumption_resolution,[],[f304,f139]) ).
fof(f304,plain,
( sz00 = xl
| ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,xm)
| spl1_8 ),
inference(subsumption_resolution,[],[f303,f121]) ).
fof(f121,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f33]) ).
fof(f303,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xl
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| spl1_8 ),
inference(resolution,[],[f132,f297]) ).
fof(f297,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| spl1_8 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl1_8
<=> aNaturalNumber0(sdtsldt0(xm,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f302,plain,
( ~ spl1_8
| ~ spl1_9
| spl1_5 ),
inference(avatar_split_clause,[],[f293,f276,f299,f295]) ).
fof(f276,plain,
( spl1_5
<=> aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f293,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| spl1_5 ),
inference(resolution,[],[f278,f124]) ).
fof(f124,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X1,X0)) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f278,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| spl1_5 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f292,plain,
( ~ spl1_5
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f291,f134,f276]) ).
fof(f134,plain,
( spl1_1
<=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f291,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f290,f95]) ).
fof(f95,plain,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(flattening,[],[f37]) ).
fof(f37,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
doDivides0(xl,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f290,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| doDivides0(xl,sdtpldt0(xm,xn))
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f272,f120]) ).
fof(f272,plain,
( ~ aNaturalNumber0(xl)
| doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ spl1_1 ),
inference(superposition,[],[f208,f136]) ).
fof(f136,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f208,plain,
! [X3,X0] :
( doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3) ),
inference(subsumption_resolution,[],[f129,f103]) ).
fof(f103,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( 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/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f129,plain,
! [X3,X0] :
( ~ aNaturalNumber0(X0)
| doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(sdtasdt0(X0,X3)) ),
inference(equality_resolution,[],[f98]) ).
fof(f98,plain,
! [X3,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( ( ( aNaturalNumber0(sK0(X0,X1))
& sdtasdt0(X0,sK0(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1 ) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f81,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
=> ( aNaturalNumber0(sK0(X0,X1))
& sdtasdt0(X0,sK0(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1] :
( ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1 ) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
| ~ doDivides0(X1,X0) )
& ( doDivides0(X1,X0)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != X0 ) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> doDivides0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> doDivides0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> doDivides0(X1,X0) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> doDivides0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f266,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f265,plain,
( $false
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f264,f143]) ).
fof(f143,plain,
( doDivides0(sz00,xm)
| ~ spl1_2 ),
inference(backward_demodulation,[],[f105,f140]) ).
fof(f140,plain,
( sz00 = xl
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f264,plain,
( ~ doDivides0(sz00,xm)
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f261,f121]) ).
fof(f261,plain,
( ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xm)
| ~ spl1_2 ),
inference(superposition,[],[f259,f126]) ).
fof(f126,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(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(f259,plain,
( ~ doDivides0(sz00,sdtpldt0(xm,sz00))
| ~ spl1_2 ),
inference(backward_demodulation,[],[f145,f256]) ).
fof(f256,plain,
( sz00 = xn
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f249,f119]) ).
fof(f249,plain,
( sz00 = xn
| ~ aNaturalNumber0(xn)
| ~ spl1_2 ),
inference(resolution,[],[f248,f142]) ).
fof(f142,plain,
( doDivides0(sz00,xn)
| ~ spl1_2 ),
inference(backward_demodulation,[],[f106,f140]) ).
fof(f248,plain,
! [X0] :
( ~ doDivides0(sz00,X0)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f247,f114]) ).
fof(f114,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f247,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,X0)
| sz00 = X0 ),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sz00 = X0
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sz00) ),
inference(resolution,[],[f243,f100]) ).
fof(f100,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f243,plain,
! [X0] :
( ~ aNaturalNumber0(sK0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| sz00 = X0 ),
inference(subsumption_resolution,[],[f235,f114]) ).
fof(f235,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| sz00 = X0
| ~ aNaturalNumber0(sK0(sz00,X0)) ),
inference(superposition,[],[f99,f122]) ).
fof(f122,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f99,plain,
! [X0,X1] :
( sdtasdt0(X0,sK0(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f145,plain,
( ~ doDivides0(sz00,sdtpldt0(xm,xn))
| ~ spl1_2 ),
inference(backward_demodulation,[],[f95,f140]) ).
fof(f141,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f104,f138,f134]) ).
fof(f104,plain,
( sz00 = xl
| sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| sz00 = xl ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
( sz00 != xl
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1298) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : NUM469+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:49:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (15305)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)
% 0.21/0.52 % (15306)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)
% 0.21/0.53 % (15313)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)
% 0.21/0.53 % (15305)First to succeed.
% 0.21/0.53 % (15323)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)
% 0.21/0.53 % (15315)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)
% 0.21/0.54 % (15305)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (15305)------------------------------
% 0.21/0.54 % (15305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (15305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (15305)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (15305)Memory used [KB]: 6012
% 0.21/0.54 % (15305)Time elapsed: 0.104 s
% 0.21/0.54 % (15305)Instructions burned: 7 (million)
% 0.21/0.54 % (15305)------------------------------
% 0.21/0.54 % (15305)------------------------------
% 0.21/0.54 % (15298)Success in time 0.176 s
% 0.21/0.54 % (15322)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)
% 0.21/0.54 % (15321)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)
%------------------------------------------------------------------------------