TSTP Solution File: NUM588+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM588+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 : Sun May 5 08:13:16 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 2294 ( 61 equ)
% Maximal formula atoms : 80 ( 114 avg)
% Number of connectives : 686 ( 171 ~; 124 |; 347 &)
% ( 10 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 12 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1759 (1759 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 8 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 135 ( 98 !; 36 ?; 3 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_28,type,
sQ53_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f829,plain,
$false,
inference(subsumption_resolution,[],[f828,f549]) ).
tff(f549,plain,
aElementOf0(sK37,sK36),
inference(cnf_transformation,[],[f313]) ).
tff(f313,plain,
( ~ aElementOf0(sK36,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))),xk))
& ~ aSubsetOf0(sK36,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ~ aElementOf0(sK37,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& aElementOf0(sK37,sK36)
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ( szmzizndt0(sdtlpdtrp0(xN,sK34)) = X4 )
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK34))
| ~ aElement0(X4) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,sK34)) != X4 )
& aElementOf0(X4,sdtlpdtrp0(xN,sK34))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK34)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK34)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,sK34))
& aElementOf0(sK36,slbdtsldtrb0(sK35,xk))
& ( xk = sbrdtbr0(sK36) )
& aSubsetOf0(sK36,sK35)
& ! [X6] :
( aElementOf0(X6,sK35)
| ~ aElementOf0(X6,sK36) )
& aSet0(sK36)
& isCountable0(sK35)
& aSubsetOf0(sK35,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ~ aElementOf0(X7,sK35) )
& aSet0(sK35)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ( szmzizndt0(sdtlpdtrp0(xN,sK34)) = X8 )
| ~ aElementOf0(X8,sdtlpdtrp0(xN,sK34))
| ~ aElement0(X8) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,sK34)) != X8 )
& aElementOf0(X8,sdtlpdtrp0(xN,sK34))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK34)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,sK34)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,sK34))
& aElementOf0(sK34,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37])],[f308,f312,f311,f310,f309]) ).
tff(f309,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X4 )
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ aElement0(X4) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X4 )
& aElementOf0(X4,sdtlpdtrp0(xN,X0))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X2) = xk )
& aSubsetOf0(X2,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X1) )
& aSet0(X1)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8 )
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8 )
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) )
=> ( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ( szmzizndt0(sdtlpdtrp0(xN,sK34)) = X4 )
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK34))
| ~ aElement0(X4) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,sK34)) != X4 )
& aElementOf0(X4,sdtlpdtrp0(xN,sK34))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK34)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK34)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,sK34))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X2) = xk )
& aSubsetOf0(X2,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ~ aElementOf0(X7,X1) )
& aSet0(X1)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ( szmzizndt0(sdtlpdtrp0(xN,sK34)) = X8 )
| ~ aElementOf0(X8,sdtlpdtrp0(xN,sK34))
| ~ aElement0(X8) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,sK34)) != X8 )
& aElementOf0(X8,sdtlpdtrp0(xN,sK34))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK34)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,sK34)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,sK34)) )
& aElementOf0(sK34,szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
tff(f310,plain,
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ( szmzizndt0(sdtlpdtrp0(xN,sK34)) = X4 )
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK34))
| ~ aElement0(X4) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,sK34)) != X4 )
& aElementOf0(X4,sdtlpdtrp0(xN,sK34))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK34)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK34)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,sK34))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X2) = xk )
& aSubsetOf0(X2,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ~ aElementOf0(X7,X1) )
& aSet0(X1)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ( szmzizndt0(sdtlpdtrp0(xN,sK34)) = X8 )
| ~ aElementOf0(X8,sdtlpdtrp0(xN,sK34))
| ~ aElement0(X8) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,sK34)) != X8 )
& aElementOf0(X8,sdtlpdtrp0(xN,sK34))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK34)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,sK34)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,sK34)) )
=> ( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ( szmzizndt0(sdtlpdtrp0(xN,sK34)) = X4 )
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK34))
| ~ aElement0(X4) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,sK34)) != X4 )
& aElementOf0(X4,sdtlpdtrp0(xN,sK34))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK34)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK34)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,sK34))
& aElementOf0(X2,slbdtsldtrb0(sK35,xk))
& ( sbrdtbr0(X2) = xk )
& aSubsetOf0(X2,sK35)
& ! [X6] :
( aElementOf0(X6,sK35)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(sK35)
& aSubsetOf0(sK35,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ~ aElementOf0(X7,sK35) )
& aSet0(sK35)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ( szmzizndt0(sdtlpdtrp0(xN,sK34)) = X8 )
| ~ aElementOf0(X8,sdtlpdtrp0(xN,sK34))
| ~ aElement0(X8) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,sK34)) != X8 )
& aElementOf0(X8,sdtlpdtrp0(xN,sK34))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK34)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,sK34)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,sK34)) ) ),
introduced(choice_axiom,[]) ).
tff(f311,plain,
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ( szmzizndt0(sdtlpdtrp0(xN,sK34)) = X4 )
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK34))
| ~ aElement0(X4) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,sK34)) != X4 )
& aElementOf0(X4,sdtlpdtrp0(xN,sK34))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK34)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK34)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,sK34))
& aElementOf0(X2,slbdtsldtrb0(sK35,xk))
& ( sbrdtbr0(X2) = xk )
& aSubsetOf0(X2,sK35)
& ! [X6] :
( aElementOf0(X6,sK35)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
=> ( ~ aElementOf0(sK36,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))),xk))
& ~ aSubsetOf0(sK36,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& aElementOf0(X3,sK36) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ( szmzizndt0(sdtlpdtrp0(xN,sK34)) = X4 )
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK34))
| ~ aElement0(X4) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,sK34)) != X4 )
& aElementOf0(X4,sdtlpdtrp0(xN,sK34))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK34)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK34)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK34)),sdtlpdtrp0(xN,sK34))
& aElementOf0(sK36,slbdtsldtrb0(sK35,xk))
& ( xk = sbrdtbr0(sK36) )
& aSubsetOf0(sK36,sK35)
& ! [X6] :
( aElementOf0(X6,sK35)
| ~ aElementOf0(X6,sK36) )
& aSet0(sK36) ) ),
introduced(choice_axiom,[]) ).
tff(f312,plain,
( ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& aElementOf0(X3,sK36) )
=> ( ~ aElementOf0(sK37,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
& aElementOf0(sK37,sK36) ) ),
introduced(choice_axiom,[]) ).
tff(f308,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X4 )
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ aElement0(X4) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X4 )
& aElementOf0(X4,sdtlpdtrp0(xN,X0))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X2) = xk )
& aSubsetOf0(X2,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X1) )
& aSet0(X1)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8 )
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8 )
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f307]) ).
tff(f307,plain,
? [X0] :
( ? [X1] :
( ? [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X5) )
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8 )
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8 )
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) = xk )
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X5) )
& aSet0(X5) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X3 )
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f306]) ).
tff(f306,plain,
? [X0] :
( ? [X1] :
( ? [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X5) )
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8 )
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8 )
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) = xk )
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X5) )
& aSet0(X5) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X3 )
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f123]) ).
tff(f123,plain,
? [X0] :
( ? [X1] :
( ? [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X5) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8 )
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) = xk )
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X5) )
& aSet0(X5) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSet0(X1)
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f122]) ).
tff(f122,plain,
? [X0] :
( ? [X1] :
( ? [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X5) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8 )
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) = xk )
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X5) )
& aSet0(X5) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSet0(X1)
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f97]) ).
tff(f97,plain,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1)
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) = xk )
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,X1) )
& aSet0(X5) )
=> ( ( ! [X7] :
( aElementOf0(X7,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8 )
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X9] :
( aElementOf0(X9,X5)
=> aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) ) ),
inference(rectify,[],[f89]) ).
tff(f89,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1)
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2 )
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X2) = xk )
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f88]) ).
tff(f88,conjecture,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1)
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2 )
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X2) = xk )
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8lJGBYW1Ku/Vampire---4.8_13657',m__) ).
tff(f828,plain,
~ aElementOf0(sK37,sK36),
inference(resolution,[],[f825,f538]) ).
tff(f538,plain,
! [X6: $i] :
( aElementOf0(X6,sK35)
| ~ aElementOf0(X6,sK36) ),
inference(cnf_transformation,[],[f313]) ).
tff(f825,plain,
~ aElementOf0(sK37,sK35),
inference(resolution,[],[f534,f550]) ).
tff(f550,plain,
~ aElementOf0(sK37,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34)))),
inference(cnf_transformation,[],[f313]) ).
tff(f534,plain,
! [X7: $i] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK34),szmzizndt0(sdtlpdtrp0(xN,sK34))))
| ~ aElementOf0(X7,sK35) ),
inference(cnf_transformation,[],[f313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM588+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 15:03:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.8lJGBYW1Ku/Vampire---4.8_13657
% 0.55/0.74 % (13773)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.74 % (13765)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (13767)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (13768)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74 % (13766)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.74 % (13770)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (13771)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74 % (13772)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.75 % (13765)First to succeed.
% 0.55/0.75 % (13765)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13764"
% 0.55/0.75 % (13765)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (13765)------------------------------
% 0.55/0.75 % (13765)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (13765)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (13765)Memory used [KB]: 1473
% 0.55/0.75 % (13765)Time elapsed: 0.014 s
% 0.55/0.75 % (13765)Instructions burned: 27 (million)
% 0.55/0.75 % (13764)Success in time 0.388 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------