TSTP Solution File: NUM563+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM563+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 08:13:03 EDT 2024
% Result : Theorem 0.58s 0.77s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 120 ( 13 unt; 0 def)
% Number of atoms : 563 ( 115 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 668 ( 225 ~; 202 |; 193 &)
% ( 12 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 177 ( 144 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f994,plain,
$false,
inference(avatar_sat_refutation,[],[f529,f548,f886,f975,f989]) ).
fof(f989,plain,
~ spl28_30,
inference(avatar_contradiction_clause,[],[f988]) ).
fof(f988,plain,
( $false
| ~ spl28_30 ),
inference(subsumption_resolution,[],[f987,f230]) ).
fof(f230,plain,
aSet0(xS),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/tmp/tmp.zp8je2ZPOs/Vampire---4.8_16436',m__3435) ).
fof(f987,plain,
( ~ aSet0(xS)
| ~ spl28_30 ),
inference(subsumption_resolution,[],[f977,f233]) ).
fof(f233,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f93]) ).
fof(f977,plain,
( ~ isCountable0(xS)
| ~ aSet0(xS)
| ~ spl28_30 ),
inference(resolution,[],[f885,f296]) ).
fof(f296,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.zp8je2ZPOs/Vampire---4.8_16436',mSubRefl) ).
fof(f885,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,xS)
| ~ isCountable0(X0) )
| ~ spl28_30 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl28_30
<=> ! [X0] :
( ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_30])]) ).
fof(f975,plain,
( spl28_12
| ~ spl28_13
| spl28_29 ),
inference(avatar_contradiction_clause,[],[f974]) ).
fof(f974,plain,
( $false
| spl28_12
| ~ spl28_13
| spl28_29 ),
inference(subsumption_resolution,[],[f973,f750]) ).
fof(f750,plain,
( aElementOf0(slcrc0,slbdtsldtrb0(xS,xK))
| spl28_12
| ~ spl28_13 ),
inference(subsumption_resolution,[],[f749,f466]) ).
fof(f466,plain,
aSet0(slbdtsldtrb0(xS,xK)),
inference(subsumption_resolution,[],[f442,f234]) ).
fof(f234,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ( sdtlpdtrp0(xc,sK5(X1)) = X1
& aElementOf0(sK5(X1),szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ( ~ aElementOf0(sK6(X4),xS)
& aElementOf0(sK6(X4),X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f163,f165,f164]) ).
fof(f164,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
=> ( sdtlpdtrp0(xc,sK5(X1)) = X1
& aElementOf0(sK5(X1),szDzozmdt0(xc)) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X4] :
( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK6(X4),xS)
& aElementOf0(sK6(X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(rectify,[],[f162]) ).
fof(f162,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( ( sbrdtbr0(X3) = xK
& ( aSubsetOf0(X3,xS)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,xS) )
& aSet0(X3) ) ) )
=> aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(X3,szDzozmdt0(xc))
=> ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,xS) )
& aSet0(X3) ) ) )
& aFunction0(xc) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X1] :
( sdtlpdtrp0(xc,X1) = X0
& aElementOf0(X1,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
=> ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
file('/export/starexec/sandbox2/tmp/tmp.zp8je2ZPOs/Vampire---4.8_16436',m__3453) ).
fof(f442,plain,
( aSet0(slbdtsldtrb0(xS,xK))
| ~ aFunction0(xc) ),
inference(superposition,[],[f320,f242]) ).
fof(f242,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f166]) ).
fof(f320,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.zp8je2ZPOs/Vampire---4.8_16436',mDomSet) ).
fof(f749,plain,
( aElementOf0(slcrc0,slbdtsldtrb0(xS,xK))
| ~ aSet0(slbdtsldtrb0(xS,xK))
| spl28_12
| ~ spl28_13 ),
inference(subsumption_resolution,[],[f748,f523]) ).
fof(f523,plain,
( slcrc0 != slbdtsldtrb0(xS,xK)
| spl28_12 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f522,plain,
( spl28_12
<=> slcrc0 = slbdtsldtrb0(xS,xK) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_12])]) ).
fof(f748,plain,
( aElementOf0(slcrc0,slbdtsldtrb0(xS,xK))
| slcrc0 = slbdtsldtrb0(xS,xK)
| ~ aSet0(slbdtsldtrb0(xS,xK))
| spl28_12
| ~ spl28_13 ),
inference(superposition,[],[f350,f729]) ).
fof(f729,plain,
( slcrc0 = sK27(slbdtsldtrb0(xS,xK))
| spl28_12
| ~ spl28_13 ),
inference(subsumption_resolution,[],[f716,f528]) ).
fof(f528,plain,
( aSet0(sK27(slbdtsldtrb0(xS,xK)))
| ~ spl28_13 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f526,plain,
( spl28_13
<=> aSet0(sK27(slbdtsldtrb0(xS,xK))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_13])]) ).
fof(f716,plain,
( slcrc0 = sK27(slbdtsldtrb0(xS,xK))
| ~ aSet0(sK27(slbdtsldtrb0(xS,xK)))
| spl28_12 ),
inference(trivial_inequality_removal,[],[f709]) ).
fof(f709,plain,
( xK != xK
| slcrc0 = sK27(slbdtsldtrb0(xS,xK))
| ~ aSet0(sK27(slbdtsldtrb0(xS,xK)))
| spl28_12 ),
inference(superposition,[],[f360,f704]) ).
fof(f704,plain,
( xK = sbrdtbr0(sK27(slbdtsldtrb0(xS,xK)))
| spl28_12 ),
inference(subsumption_resolution,[],[f703,f466]) ).
fof(f703,plain,
( xK = sbrdtbr0(sK27(slbdtsldtrb0(xS,xK)))
| ~ aSet0(slbdtsldtrb0(xS,xK))
| spl28_12 ),
inference(subsumption_resolution,[],[f700,f523]) ).
fof(f700,plain,
( xK = sbrdtbr0(sK27(slbdtsldtrb0(xS,xK)))
| slcrc0 = slbdtsldtrb0(xS,xK)
| ~ aSet0(slbdtsldtrb0(xS,xK)) ),
inference(resolution,[],[f389,f350]) ).
fof(f389,plain,
! [X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(xS,xK))
| xK = sbrdtbr0(X4) ),
inference(forward_demodulation,[],[f238,f242]) ).
fof(f238,plain,
! [X4] :
( xK = sbrdtbr0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f360,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f334,f286]) ).
fof(f286,plain,
sz00 = xK,
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ! [X0] :
( ! [X1] :
( sP4(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ( ~ aElementOf0(sK16(X1),xS)
& aElementOf0(sK16(X1),X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f191,f192]) ).
fof(f192,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK16(X1),xS)
& aElementOf0(sK16(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
( ! [X0] :
( ! [X1] :
( sP4(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(rectify,[],[f161]) ).
fof(f161,plain,
( ! [X0] :
( ! [X1] :
( sP4(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(definition_folding,[],[f99,f160]) ).
fof(f160,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f99,plain,
( ! [X0] :
( ! [X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
( ! [X0] :
( ! [X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
~ ( sz00 = xK
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& ( aSubsetOf0(X1,xS)
| ( ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,xS) )
& aSet0(X1) ) ) )
& aElementOf0(X0,xT) ) ),
inference(rectify,[],[f79]) ).
fof(f79,negated_conjecture,
~ ( sz00 = xK
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& ( aSubsetOf0(X1,xS)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) ) ) )
& aElementOf0(X0,xT) ) ),
inference(negated_conjecture,[],[f78]) ).
fof(f78,conjecture,
( sz00 = xK
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& ( aSubsetOf0(X1,xS)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) ) ) )
& aElementOf0(X0,xT) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zp8je2ZPOs/Vampire---4.8_16436',m__) ).
fof(f334,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.zp8je2ZPOs/Vampire---4.8_16436',mCardEmpty) ).
fof(f350,plain,
! [X0] :
( aElementOf0(sK27(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK27(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f223,f224]) ).
fof(f224,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK27(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zp8je2ZPOs/Vampire---4.8_16436',mDefEmp) ).
fof(f973,plain,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,xK))
| spl28_29 ),
inference(resolution,[],[f882,f665]) ).
fof(f665,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xc,X0),xT)
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xK)) ),
inference(forward_demodulation,[],[f664,f242]) ).
fof(f664,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xc,X0),xT)
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(subsumption_resolution,[],[f654,f234]) ).
fof(f654,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xc,X0),xT)
| ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aFunction0(xc) ),
inference(resolution,[],[f247,f325]) ).
fof(f325,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zp8je2ZPOs/Vampire---4.8_16436',mImgRng) ).
fof(f247,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f166]) ).
fof(f882,plain,
( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| spl28_29 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f880,plain,
( spl28_29
<=> aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_29])]) ).
fof(f886,plain,
( ~ spl28_29
| spl28_30 ),
inference(avatar_split_clause,[],[f871,f884,f880]) ).
fof(f871,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) ),
inference(resolution,[],[f289,f641]) ).
fof(f641,plain,
! [X0] : ~ sP4(sdtlpdtrp0(xc,slcrc0),X0),
inference(equality_resolution,[],[f635]) ).
fof(f635,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,slcrc0) != X0
| ~ sP4(X0,X1) ),
inference(duplicate_literal_removal,[],[f634]) ).
fof(f634,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,slcrc0) != X0
| ~ sP4(X0,X1)
| ~ sP4(X0,X1) ),
inference(superposition,[],[f285,f628]) ).
fof(f628,plain,
! [X0,X1] :
( slcrc0 = sK15(X0,X1)
| ~ sP4(X0,X1) ),
inference(subsumption_resolution,[],[f627,f280]) ).
fof(f280,plain,
! [X0,X1] :
( aSet0(sK15(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( ( sdtlpdtrp0(xc,sK15(X0,X1)) != X0
& aElementOf0(sK15(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK15(X0,X1))
& aSubsetOf0(sK15(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK15(X0,X1)) )
& aSet0(sK15(X0,X1)) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f188,f189]) ).
fof(f189,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
=> ( sdtlpdtrp0(xc,sK15(X0,X1)) != X0
& aElementOf0(sK15(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK15(X0,X1))
& aSubsetOf0(sK15(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK15(X0,X1)) )
& aSet0(sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ sP4(X0,X1) ),
inference(nnf_transformation,[],[f160]) ).
fof(f627,plain,
! [X0,X1] :
( slcrc0 = sK15(X0,X1)
| ~ aSet0(sK15(X0,X1))
| ~ sP4(X0,X1) ),
inference(trivial_inequality_removal,[],[f624]) ).
fof(f624,plain,
! [X0,X1] :
( xK != xK
| slcrc0 = sK15(X0,X1)
| ~ aSet0(sK15(X0,X1))
| ~ sP4(X0,X1) ),
inference(superposition,[],[f360,f283]) ).
fof(f283,plain,
! [X0,X1] :
( xK = sbrdtbr0(sK15(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f285,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,sK15(X0,X1)) != X0
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f289,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f193]) ).
fof(f548,plain,
~ spl28_12,
inference(avatar_contradiction_clause,[],[f547]) ).
fof(f547,plain,
( $false
| ~ spl28_12 ),
inference(subsumption_resolution,[],[f546,f230]) ).
fof(f546,plain,
( ~ aSet0(xS)
| ~ spl28_12 ),
inference(subsumption_resolution,[],[f545,f395]) ).
fof(f395,plain,
~ isFinite0(xS),
inference(subsumption_resolution,[],[f394,f230]) ).
fof(f394,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS) ),
inference(resolution,[],[f233,f293]) ).
fof(f293,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.zp8je2ZPOs/Vampire---4.8_16436',mCountNFin) ).
fof(f545,plain,
( isFinite0(xS)
| ~ aSet0(xS)
| ~ spl28_12 ),
inference(subsumption_resolution,[],[f541,f229]) ).
fof(f229,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmp.zp8je2ZPOs/Vampire---4.8_16436',m__3418) ).
fof(f541,plain,
( ~ aElementOf0(xK,szNzAzT0)
| isFinite0(xS)
| ~ aSet0(xS)
| ~ spl28_12 ),
inference(trivial_inequality_removal,[],[f536]) ).
fof(f536,plain,
( slcrc0 != slcrc0
| ~ aElementOf0(xK,szNzAzT0)
| isFinite0(xS)
| ~ aSet0(xS)
| ~ spl28_12 ),
inference(superposition,[],[f311,f524]) ).
fof(f524,plain,
( slcrc0 = slbdtsldtrb0(xS,xK)
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f311,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( ~ isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> slcrc0 != slbdtsldtrb0(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zp8je2ZPOs/Vampire---4.8_16436',mSelNSet) ).
fof(f529,plain,
( spl28_12
| spl28_13 ),
inference(avatar_split_clause,[],[f520,f526,f522]) ).
fof(f520,plain,
( aSet0(sK27(slbdtsldtrb0(xS,xK)))
| slcrc0 = slbdtsldtrb0(xS,xK) ),
inference(subsumption_resolution,[],[f517,f466]) ).
fof(f517,plain,
( aSet0(sK27(slbdtsldtrb0(xS,xK)))
| slcrc0 = slbdtsldtrb0(xS,xK)
| ~ aSet0(slbdtsldtrb0(xS,xK)) ),
inference(resolution,[],[f392,f350]) ).
fof(f392,plain,
! [X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(xS,xK))
| aSet0(X4) ),
inference(forward_demodulation,[],[f235,f242]) ).
fof(f235,plain,
! [X4] :
( aSet0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM563+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 14:53:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.zp8je2ZPOs/Vampire---4.8_16436
% 0.58/0.74 % (16551)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)
% 0.58/0.75 % (16545)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)
% 0.58/0.75 % (16547)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (16548)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)
% 0.58/0.75 % (16549)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)
% 0.58/0.75 % (16550)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)
% 0.58/0.75 % (16546)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)
% 0.58/0.76 % (16552)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)
% 0.58/0.76 % (16550)First to succeed.
% 0.58/0.77 % (16548)Instruction limit reached!
% 0.58/0.77 % (16548)------------------------------
% 0.58/0.77 % (16548)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (16548)Termination reason: Unknown
% 0.58/0.77 % (16548)Termination phase: Saturation
% 0.58/0.77
% 0.58/0.77 % (16548)Memory used [KB]: 1695
% 0.58/0.77 % (16548)Time elapsed: 0.021 s
% 0.58/0.77 % (16548)Instructions burned: 34 (million)
% 0.58/0.77 % (16548)------------------------------
% 0.58/0.77 % (16548)------------------------------
% 0.58/0.77 % (16550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16543"
% 0.58/0.77 % (16550)Refutation found. Thanks to Tanya!
% 0.58/0.77 % SZS status Theorem for Vampire---4
% 0.58/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77 % (16550)------------------------------
% 0.58/0.77 % (16550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (16550)Termination reason: Refutation
% 0.58/0.77
% 0.58/0.77 % (16550)Memory used [KB]: 1455
% 0.58/0.77 % (16550)Time elapsed: 0.022 s
% 0.58/0.77 % (16550)Instructions burned: 34 (million)
% 0.58/0.77 % (16543)Success in time 0.4 s
% 0.58/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------