TSTP Solution File: NUM595+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM595+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_sat --cores 0 -t %d %s
% Computer : n016.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 18:06:00 EDT 2022
% Result : Theorem 1.41s 0.62s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 13 unt; 0 def)
% Number of atoms : 259 ( 66 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 323 ( 112 ~; 85 |; 103 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-2 aty)
% Number of variables : 78 ( 57 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1372,plain,
$false,
inference(subsumption_resolution,[],[f1371,f544]) ).
fof(f544,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f95]) ).
fof(f95,axiom,
( xx = sdtlpdtrp0(xd,xi)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4806) ).
fof(f1371,plain,
~ aElementOf0(xi,szNzAzT0),
inference(subsumption_resolution,[],[f1370,f924]) ).
fof(f924,plain,
~ aElementOf0(sdtlpdtrp0(xd,xi),xT),
inference(backward_demodulation,[],[f779,f545]) ).
fof(f545,plain,
xx = sdtlpdtrp0(xd,xi),
inference(cnf_transformation,[],[f95]) ).
fof(f779,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
~ aElementOf0(xx,xT),
inference(flattening,[],[f98]) ).
fof(f98,negated_conjecture,
~ aElementOf0(xx,xT),
inference(negated_conjecture,[],[f97]) ).
fof(f97,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1370,plain,
( aElementOf0(sdtlpdtrp0(xd,xi),xT)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[],[f541,f1327]) ).
fof(f1327,plain,
sdtlpdtrp0(xd,xi) = sK30(xi),
inference(backward_demodulation,[],[f1231,f1312]) ).
fof(f1312,plain,
sdtlpdtrp0(xd,xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK52),
inference(resolution,[],[f1308,f700]) ).
fof(f700,plain,
aElementOf0(sK52,xX),
inference(cnf_transformation,[],[f406]) ).
fof(f406,plain,
( ! [X0] :
( ( ( ( ~ aSet0(X0)
| ( aElementOf0(sK51(X0),X0)
& ~ aElementOf0(sK51(X0),sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
& ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
| sbrdtbr0(X0) != xk
| aElementOf0(X0,xX) )
& ( ~ aElementOf0(X0,xX)
| ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X0) = xk
& aSet0(X0) ) ) )
& aSet0(xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& aElementOf0(sK52,xX) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52])],[f166,f405,f404]) ).
fof(f404,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
=> ( aElementOf0(sK51(X0),X0)
& ~ aElementOf0(sK51(X0),sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) ),
introduced(choice_axiom,[]) ).
fof(f405,plain,
( ? [X3] : aElementOf0(X3,xX)
=> aElementOf0(sK52,xX) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
( ! [X0] :
( ( ( ( ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
& ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
| sbrdtbr0(X0) != xk
| aElementOf0(X0,xX) )
& ( ~ aElementOf0(X0,xX)
| ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X0) = xk
& aSet0(X0) ) ) )
& aSet0(xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ? [X3] : aElementOf0(X3,xX) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
( xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X0] :
( ( aElementOf0(X0,xX)
| sbrdtbr0(X0) != xk
| ( ( ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
& ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
& ( ~ aElementOf0(X0,xX)
| ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X0) = xk
& aSet0(X0) ) ) )
& aSet0(xX)
& ? [X3] : aElementOf0(X3,xX) ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
( xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) )
| aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
=> aElementOf0(X0,xX) )
& ( aElementOf0(X0,xX)
=> ( aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X0) = xk
& aSet0(X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) ) ) )
& aSet0(xX)
& ? [X3] : aElementOf0(X3,xX) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
( ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) )
| aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
=> aElementOf0(X0,xX) )
& ( aElementOf0(X0,xX)
=> ( aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X0) = xk
& aSet0(X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) ) ) )
& aSet0(xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ~ ~ ? [X3] : aElementOf0(X3,xX) ),
inference(rectify,[],[f96]) ).
fof(f96,axiom,
( ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) )
| aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
=> aElementOf0(X0,xX) )
& ( aElementOf0(X0,xX)
=> ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& aSet0(X0)
& sbrdtbr0(X0) = xk ) ) )
& aSet0(xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ~ ~ ? [X0] : aElementOf0(X0,xX) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4826) ).
fof(f1308,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| sdtlpdtrp0(xd,xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) ),
inference(subsumption_resolution,[],[f1307,f704]) ).
fof(f704,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| sbrdtbr0(X0) = xk ),
inference(cnf_transformation,[],[f406]) ).
fof(f1307,plain,
! [X0] :
( sdtlpdtrp0(xd,xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
| ~ aElementOf0(X0,xX)
| sbrdtbr0(X0) != xk ),
inference(subsumption_resolution,[],[f1306,f703]) ).
fof(f703,plain,
! [X0] :
( aSet0(X0)
| ~ aElementOf0(X0,xX) ),
inference(cnf_transformation,[],[f406]) ).
fof(f1306,plain,
! [X0] :
( ~ aSet0(X0)
| sbrdtbr0(X0) != xk
| ~ aElementOf0(X0,xX)
| sdtlpdtrp0(xd,xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) ),
inference(subsumption_resolution,[],[f1305,f544]) ).
fof(f1305,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| ~ aSet0(X0)
| sdtlpdtrp0(xd,xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
| sbrdtbr0(X0) != xk
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[],[f808,f705]) ).
fof(f705,plain,
! [X0] :
( aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X0,xX) ),
inference(cnf_transformation,[],[f406]) ).
fof(f808,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| sbrdtbr0(X1) != xk
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f453]) ).
fof(f453,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK65(X0,X1),X1)
& ~ aElementOf0(sK65(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk ) )
| ~ aSet0(X1) ) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65])],[f198,f452]) ).
fof(f452,plain,
! [X0,X1] :
( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
=> ( aElementOf0(sK65(X0,X1),X1)
& ~ aElementOf0(sK65(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) )
| sbrdtbr0(X1) != xk ) )
| ~ aSet0(X1) ) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
( szNzAzT0 = szDzozmdt0(xd)
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) )
| sbrdtbr0(X1) != xk ) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& aFunction0(xd) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
( szNzAzT0 = szDzozmdt0(xd)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X1) = xk
& ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
& aFunction0(xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f1231,plain,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK52) = sK30(xi),
inference(resolution,[],[f1227,f700]) ).
fof(f1227,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = sK30(xi) ),
inference(subsumption_resolution,[],[f1226,f704]) ).
fof(f1226,plain,
! [X0] :
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = sK30(xi)
| ~ aElementOf0(X0,xX)
| sbrdtbr0(X0) != xk ),
inference(subsumption_resolution,[],[f1225,f703]) ).
fof(f1225,plain,
! [X0] :
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = sK30(xi)
| sbrdtbr0(X0) != xk
| ~ aElementOf0(X0,xX)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f1224,f544]) ).
fof(f1224,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| ~ aSet0(X0)
| sbrdtbr0(X0) != xk
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = sK30(xi)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[],[f540,f705]) ).
fof(f540,plain,
! [X2,X0] :
( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK30(X0)
| sbrdtbr0(X2) != xk
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f327]) ).
fof(f327,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aElementOf0(sK30(X0),xT)
& ! [X2] :
( ( ( ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ~ aElementOf0(sK31(X0,X2),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK31(X0,X2),X2) )
| sbrdtbr0(X2) != xk )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK30(X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f149,f326,f325]) ).
fof(f325,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,xT)
& ! [X2] :
( ( ( ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) )
| sbrdtbr0(X2) != xk )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) )
=> ( aElementOf0(sK30(X0),xT)
& ! [X2] :
( ( ( ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) )
| sbrdtbr0(X2) != xk )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK30(X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
! [X0,X2] :
( ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) )
=> ( ~ aElementOf0(sK31(X0,X2),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK31(X0,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ? [X1] :
( aElementOf0(X1,xT)
& ! [X2] :
( ( ( ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) )
| sbrdtbr0(X2) != xk )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) ) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ~ aSet0(X2)
| ( ( ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) ) )
| sbrdtbr0(X2) != xk )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 )
& aElementOf0(X1,xT) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4618) ).
fof(f541,plain,
! [X0] :
( aElementOf0(sK30(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM595+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_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n016.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 07:39:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (21528)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)
% 0.20/0.49 % (21544)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)
% 0.20/0.50 % (21536)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)
% 0.20/0.52 % (21522)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)
% 0.20/0.52 % (21537)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)
% 0.20/0.53 % (21529)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.28/0.54 % (21539)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)
% 1.28/0.54 % (21517)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)
% 1.28/0.54 % (21531)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)
% 1.28/0.54 % (21519)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)
% 1.28/0.54 % (21523)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)
% 1.28/0.54 % (21526)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)
% 1.41/0.55 % (21541)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.41/0.55 % (21527)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.55 % (21532)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)
% 1.41/0.55 % (21525)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.56 % (21542)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.41/0.56 % (21525)Instruction limit reached!
% 1.41/0.56 % (21525)------------------------------
% 1.41/0.56 % (21525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 % (21525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (21525)Termination reason: Unknown
% 1.41/0.56 % (21525)Termination phase: Preprocessing 2
% 1.41/0.56
% 1.41/0.56 % (21525)Memory used [KB]: 1151
% 1.41/0.56 % (21525)Time elapsed: 0.004 s
% 1.41/0.56 % (21525)Instructions burned: 3 (million)
% 1.41/0.56 % (21525)------------------------------
% 1.41/0.56 % (21525)------------------------------
% 1.41/0.56 % (21524)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.56 % (21534)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.41/0.56 % (21518)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)
% 1.41/0.56 % (21524)Instruction limit reached!
% 1.41/0.56 % (21524)------------------------------
% 1.41/0.56 % (21524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 % (21524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (21524)Termination reason: Unknown
% 1.41/0.56 % (21524)Termination phase: Preprocessing 3
% 1.41/0.56
% 1.41/0.56 % (21524)Memory used [KB]: 1279
% 1.41/0.56 % (21524)Time elapsed: 0.004 s
% 1.41/0.56 % (21524)Instructions burned: 7 (million)
% 1.41/0.56 % (21524)------------------------------
% 1.41/0.56 % (21524)------------------------------
% 1.41/0.57 % (21533)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)
% 1.41/0.57 % (21520)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)
% 1.41/0.57 % (21521)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.58 % (21540)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)
% 1.41/0.58 % (21543)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)
% 1.41/0.59 % (21522)Instruction limit reached!
% 1.41/0.59 % (21522)------------------------------
% 1.41/0.59 % (21522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.59 % (21538)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.41/0.59 % (21546)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)
% 1.41/0.60 % (21535)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.60 % (21530)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.60 % (21522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.60 % (21522)Termination reason: Unknown
% 1.41/0.60 % (21522)Termination phase: Saturation
% 1.41/0.60
% 1.41/0.60 % (21522)Memory used [KB]: 6524
% 1.41/0.60 % (21522)Time elapsed: 0.157 s
% 1.41/0.60 % (21522)Instructions burned: 49 (million)
% 1.41/0.60 % (21522)------------------------------
% 1.41/0.60 % (21522)------------------------------
% 1.41/0.60 % (21519)Instruction limit reached!
% 1.41/0.60 % (21519)------------------------------
% 1.41/0.60 % (21519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.60 % (21519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.60 % (21519)Termination reason: Unknown
% 1.41/0.60 % (21519)Termination phase: Saturation
% 1.41/0.60
% 1.41/0.60 % (21519)Memory used [KB]: 1791
% 1.41/0.60 % (21519)Time elapsed: 0.193 s
% 1.41/0.60 % (21519)Instructions burned: 38 (million)
% 1.41/0.60 % (21519)------------------------------
% 1.41/0.60 % (21519)------------------------------
% 1.41/0.60 % (21523)Instruction limit reached!
% 1.41/0.60 % (21523)------------------------------
% 1.41/0.60 % (21523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.60 % (21523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.60 % (21523)Termination reason: Unknown
% 1.41/0.60 % (21523)Termination phase: Finite model building preprocessing
% 1.41/0.60
% 1.41/0.60 % (21523)Memory used [KB]: 2558
% 1.41/0.60 % (21523)Time elapsed: 0.046 s
% 1.41/0.60 % (21523)Instructions burned: 51 (million)
% 1.41/0.60 % (21523)------------------------------
% 1.41/0.60 % (21523)------------------------------
% 1.41/0.61 % (21545)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.41/0.62 % (21539)First to succeed.
% 1.41/0.62 % (21539)Refutation found. Thanks to Tanya!
% 1.41/0.62 % SZS status Theorem for theBenchmark
% 1.41/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.62 % (21539)------------------------------
% 1.41/0.62 % (21539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.62 % (21539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.62 % (21539)Termination reason: Refutation
% 1.41/0.62
% 1.41/0.62 % (21539)Memory used [KB]: 1918
% 1.41/0.62 % (21539)Time elapsed: 0.133 s
% 1.41/0.62 % (21539)Instructions burned: 58 (million)
% 1.41/0.62 % (21539)------------------------------
% 1.41/0.62 % (21539)------------------------------
% 1.41/0.62 % (21516)Success in time 0.26 s
%------------------------------------------------------------------------------