TSTP Solution File: NUM563+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM563+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n007.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 : Thu Aug 31 12:11:25 EDT 2023
% Result : Theorem 0.25s 0.50s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 22
% Syntax : Number of formulae : 146 ( 12 unt; 0 def)
% Number of atoms : 658 ( 135 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 786 ( 274 ~; 274 |; 191 &)
% ( 16 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 161 (; 128 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1589,plain,
$false,
inference(avatar_sat_refutation,[],[f629,f635,f823,f1064,f1307,f1316,f1363,f1398,f1588]) ).
fof(f1588,plain,
( ~ spl54_10
| spl54_11
| ~ spl54_46
| ~ spl54_48 ),
inference(avatar_contradiction_clause,[],[f1587]) ).
fof(f1587,plain,
( $false
| ~ spl54_10
| spl54_11
| ~ spl54_46
| ~ spl54_48 ),
inference(subsumption_resolution,[],[f1586,f1295]) ).
fof(f1295,plain,
( aSubsetOf0(xS,xS)
| ~ spl54_46 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1294,plain,
( spl54_46
<=> aSubsetOf0(xS,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_46])]) ).
fof(f1586,plain,
( ~ aSubsetOf0(xS,xS)
| ~ spl54_10
| spl54_11
| ~ spl54_46
| ~ spl54_48 ),
inference(subsumption_resolution,[],[f1585,f383]) ).
fof(f383,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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.mp8kXAjIfh/Vampire---4.8_14436',m__3435) ).
fof(f1585,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(xS,xS)
| ~ spl54_10
| spl54_11
| ~ spl54_46
| ~ spl54_48 ),
inference(resolution,[],[f1584,f1515]) ).
fof(f1515,plain,
( ! [X0] :
( sP0(sdtlpdtrp0(xc,slcrc0),X0)
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xS) )
| ~ spl54_10
| spl54_11
| ~ spl54_48 ),
inference(backward_demodulation,[],[f1417,f1513]) ).
fof(f1513,plain,
( sK45(sdtlcdtrc0(xc,szDzozmdt0(xc))) = sdtlpdtrp0(xc,slcrc0)
| spl54_11
| ~ spl54_48 ),
inference(forward_demodulation,[],[f1512,f1431]) ).
fof(f1431,plain,
( slcrc0 = sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc))))
| ~ spl54_48 ),
inference(subsumption_resolution,[],[f1428,f1421]) ).
fof(f1421,plain,
( aSet0(sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc)))))
| ~ spl54_48 ),
inference(resolution,[],[f1315,f364]) ).
fof(f364,plain,
! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| aSet0(X4) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,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,sK23(X1)) = X1
& aElementOf0(sK23(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(sK24(X4),xS)
& aElementOf0(sK24(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,[sK23,sK24])],[f233,f235,f234]) ).
fof(f234,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
=> ( sdtlpdtrp0(xc,sK23(X1)) = X1
& aElementOf0(sK23(X1),szDzozmdt0(xc)) ) ),
introduced(choice_axiom,[]) ).
fof(f235,plain,
! [X4] :
( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK24(X4),xS)
& aElementOf0(sK24(X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f233,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,[],[f232]) ).
fof(f232,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,[],[f93]) ).
fof(f93,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,[],[f92]) ).
fof(f92,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,[],[f81]) ).
fof(f81,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.mp8kXAjIfh/Vampire---4.8_14436',m__3453) ).
fof(f1315,plain,
( aElementOf0(sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc))
| ~ spl54_48 ),
inference(avatar_component_clause,[],[f1313]) ).
fof(f1313,plain,
( spl54_48
<=> aElementOf0(sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_48])]) ).
fof(f1428,plain,
( slcrc0 = sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc))))
| ~ aSet0(sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc)))))
| ~ spl54_48 ),
inference(trivial_inequality_removal,[],[f1426]) ).
fof(f1426,plain,
( xK != xK
| slcrc0 = sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc))))
| ~ aSet0(sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc)))))
| ~ spl54_48 ),
inference(superposition,[],[f577,f1420]) ).
fof(f1420,plain,
( xK = sbrdtbr0(sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc)))))
| ~ spl54_48 ),
inference(resolution,[],[f1315,f367]) ).
fof(f367,plain,
! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| xK = sbrdtbr0(X4) ),
inference(cnf_transformation,[],[f236]) ).
fof(f577,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f456,f358]) ).
fof(f358,plain,
sz00 = xK,
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
( ! [X0] :
( ! [X1] :
( sP0(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ( ~ aElementOf0(sK22(X1),xS)
& aElementOf0(sK22(X1),X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f229,f230]) ).
fof(f230,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK22(X1),xS)
& aElementOf0(sK22(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
( ! [X0] :
( ! [X1] :
( sP0(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(rectify,[],[f197]) ).
fof(f197,plain,
( ! [X0] :
( ! [X1] :
( sP0(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(definition_folding,[],[f91,f196]) ).
fof(f196,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) )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f91,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,[],[f90]) ).
fof(f90,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,[],[f80]) ).
fof(f80,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.mp8kXAjIfh/Vampire---4.8_14436',m__) ).
fof(f456,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,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.mp8kXAjIfh/Vampire---4.8_14436',mCardEmpty) ).
fof(f1512,plain,
( sK45(sdtlcdtrc0(xc,szDzozmdt0(xc))) = sdtlpdtrp0(xc,sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc)))))
| spl54_11 ),
inference(subsumption_resolution,[],[f1511,f372]) ).
fof(f372,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f236]) ).
fof(f1511,plain,
( sK45(sdtlcdtrc0(xc,szDzozmdt0(xc))) = sdtlpdtrp0(xc,sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc)))))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| spl54_11 ),
inference(subsumption_resolution,[],[f1510,f718]) ).
fof(f718,plain,
( slcrc0 != sdtlcdtrc0(xc,szDzozmdt0(xc))
| spl54_11 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f717,plain,
( spl54_11
<=> slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_11])]) ).
fof(f1510,plain,
( sK45(sdtlcdtrc0(xc,szDzozmdt0(xc))) = sdtlpdtrp0(xc,sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc)))))
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(resolution,[],[f374,f510]) ).
fof(f510,plain,
! [X0] :
( aElementOf0(sK45(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f317]) ).
fof(f317,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK45(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f315,f316]) ).
fof(f316,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK45(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f314]) ).
fof(f314,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f313]) ).
fof(f313,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f159]) ).
fof(f159,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.mp8kXAjIfh/Vampire---4.8_14436',mDefEmp) ).
fof(f374,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,sK23(X1)) = X1 ),
inference(cnf_transformation,[],[f236]) ).
fof(f1417,plain,
( ! [X0] :
( ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xS)
| sP0(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc))),X0) )
| ~ spl54_10 ),
inference(resolution,[],[f361,f715]) ).
fof(f715,plain,
( aElementOf0(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)
| ~ spl54_10 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl54_10
<=> aElementOf0(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_10])]) ).
fof(f361,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1584,plain,
( ~ sP0(sdtlpdtrp0(xc,slcrc0),xS)
| ~ spl54_10
| spl54_11
| ~ spl54_46
| ~ spl54_48 ),
inference(trivial_inequality_removal,[],[f1581]) ).
fof(f1581,plain,
( sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0)
| ~ sP0(sdtlpdtrp0(xc,slcrc0),xS)
| ~ spl54_10
| spl54_11
| ~ spl54_46
| ~ spl54_48 ),
inference(superposition,[],[f357,f1565]) ).
fof(f1565,plain,
( slcrc0 = sK21(sdtlpdtrp0(xc,slcrc0),xS)
| ~ spl54_10
| spl54_11
| ~ spl54_46
| ~ spl54_48 ),
inference(subsumption_resolution,[],[f1562,f1544]) ).
fof(f1544,plain,
( aSet0(sK21(sdtlpdtrp0(xc,slcrc0),xS))
| ~ spl54_10
| spl54_11
| ~ spl54_46
| ~ spl54_48 ),
inference(resolution,[],[f1539,f364]) ).
fof(f1539,plain,
( aElementOf0(sK21(sdtlpdtrp0(xc,slcrc0),xS),szDzozmdt0(xc))
| ~ spl54_10
| spl54_11
| ~ spl54_46
| ~ spl54_48 ),
inference(subsumption_resolution,[],[f1538,f1295]) ).
fof(f1538,plain,
( ~ aSubsetOf0(xS,xS)
| aElementOf0(sK21(sdtlpdtrp0(xc,slcrc0),xS),szDzozmdt0(xc))
| ~ spl54_10
| spl54_11
| ~ spl54_48 ),
inference(subsumption_resolution,[],[f1537,f383]) ).
fof(f1537,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(xS,xS)
| aElementOf0(sK21(sdtlpdtrp0(xc,slcrc0),xS),szDzozmdt0(xc))
| ~ spl54_10
| spl54_11
| ~ spl54_48 ),
inference(resolution,[],[f1515,f1290]) ).
fof(f1290,plain,
! [X4] :
( ~ sP0(X4,xS)
| aElementOf0(sK21(X4,xS),szDzozmdt0(xc)) ),
inference(subsumption_resolution,[],[f1279,f355]) ).
fof(f355,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| xK = sbrdtbr0(sK21(X0,X1)) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ( sdtlpdtrp0(xc,sK21(X0,X1)) != X0
& aElementOf0(sK21(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK21(X0,X1))
& aSubsetOf0(sK21(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK21(X0,X1)) )
& aSet0(sK21(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f226,f227]) ).
fof(f227,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,sK21(X0,X1)) != X0
& aElementOf0(sK21(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK21(X0,X1))
& aSubsetOf0(sK21(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK21(X0,X1)) )
& aSet0(sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f226,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) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f196]) ).
fof(f1279,plain,
! [X4] :
( xK != sbrdtbr0(sK21(X4,xS))
| aElementOf0(sK21(X4,xS),szDzozmdt0(xc))
| ~ sP0(X4,xS) ),
inference(resolution,[],[f370,f354]) ).
fof(f354,plain,
! [X0,X1] :
( aSubsetOf0(sK21(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f370,plain,
! [X4] :
( ~ aSubsetOf0(X4,xS)
| xK != sbrdtbr0(X4)
| aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f1562,plain,
( slcrc0 = sK21(sdtlpdtrp0(xc,slcrc0),xS)
| ~ aSet0(sK21(sdtlpdtrp0(xc,slcrc0),xS))
| ~ spl54_10
| spl54_11
| ~ spl54_46
| ~ spl54_48 ),
inference(trivial_inequality_removal,[],[f1559]) ).
fof(f1559,plain,
( xK != xK
| slcrc0 = sK21(sdtlpdtrp0(xc,slcrc0),xS)
| ~ aSet0(sK21(sdtlpdtrp0(xc,slcrc0),xS))
| ~ spl54_10
| spl54_11
| ~ spl54_46
| ~ spl54_48 ),
inference(superposition,[],[f577,f1543]) ).
fof(f1543,plain,
( xK = sbrdtbr0(sK21(sdtlpdtrp0(xc,slcrc0),xS))
| ~ spl54_10
| spl54_11
| ~ spl54_46
| ~ spl54_48 ),
inference(resolution,[],[f1539,f367]) ).
fof(f357,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,sK21(X0,X1)) != X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f1398,plain,
( ~ spl54_7
| spl54_8
| ~ spl54_11 ),
inference(avatar_contradiction_clause,[],[f1397]) ).
fof(f1397,plain,
( $false
| ~ spl54_7
| spl54_8
| ~ spl54_11 ),
inference(subsumption_resolution,[],[f1396,f699]) ).
fof(f699,plain,
( aSet0(szDzozmdt0(xc))
| ~ spl54_7 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f698,plain,
( spl54_7
<=> aSet0(szDzozmdt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_7])]) ).
fof(f1396,plain,
( ~ aSet0(szDzozmdt0(xc))
| spl54_8
| ~ spl54_11 ),
inference(subsumption_resolution,[],[f1394,f703]) ).
fof(f703,plain,
( slcrc0 != szDzozmdt0(xc)
| spl54_8 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f702,plain,
( spl54_8
<=> slcrc0 = szDzozmdt0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_8])]) ).
fof(f1394,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc))
| ~ spl54_11 ),
inference(resolution,[],[f1389,f510]) ).
fof(f1389,plain,
( ! [X2] : ~ aElementOf0(X2,szDzozmdt0(xc))
| ~ spl54_11 ),
inference(subsumption_resolution,[],[f1385,f602]) ).
fof(f602,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f509]) ).
fof(f509,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f317]) ).
fof(f1385,plain,
( ! [X2] :
( aElementOf0(sdtlpdtrp0(xc,X2),slcrc0)
| ~ aElementOf0(X2,szDzozmdt0(xc)) )
| ~ spl54_11 ),
inference(backward_demodulation,[],[f585,f719]) ).
fof(f719,plain,
( slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ spl54_11 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f585,plain,
! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(equality_resolution,[],[f375]) ).
fof(f375,plain,
! [X2,X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f1363,plain,
( spl54_11
| spl54_10 ),
inference(avatar_split_clause,[],[f1362,f713,f717]) ).
fof(f1362,plain,
( aElementOf0(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc)) ),
inference(subsumption_resolution,[],[f1093,f372]) ).
fof(f1093,plain,
( aElementOf0(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc))),xT)
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(resolution,[],[f376,f510]) ).
fof(f376,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f236]) ).
fof(f1316,plain,
( spl54_11
| spl54_48 ),
inference(avatar_split_clause,[],[f1311,f1313,f717]) ).
fof(f1311,plain,
( aElementOf0(sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc))
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc)) ),
inference(subsumption_resolution,[],[f1310,f372]) ).
fof(f1310,plain,
( aElementOf0(sK23(sK45(sdtlcdtrc0(xc,szDzozmdt0(xc)))),szDzozmdt0(xc))
| slcrc0 = sdtlcdtrc0(xc,szDzozmdt0(xc))
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(resolution,[],[f373,f510]) ).
fof(f373,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK23(X1),szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f1307,plain,
spl54_46,
inference(avatar_contradiction_clause,[],[f1306]) ).
fof(f1306,plain,
( $false
| spl54_46 ),
inference(subsumption_resolution,[],[f1303,f380]) ).
fof(f380,plain,
aSet0(xS),
inference(cnf_transformation,[],[f94]) ).
fof(f1303,plain,
( ~ aSet0(xS)
| spl54_46 ),
inference(resolution,[],[f1296,f455]) ).
fof(f455,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,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.mp8kXAjIfh/Vampire---4.8_14436',mSubRefl) ).
fof(f1296,plain,
( ~ aSubsetOf0(xS,xS)
| spl54_46 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1064,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_8 ),
inference(avatar_contradiction_clause,[],[f1063]) ).
fof(f1063,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_8 ),
inference(subsumption_resolution,[],[f1062,f623]) ).
fof(f623,plain,
( aSet0(slcrc0)
| ~ spl54_1 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f622,plain,
( spl54_1
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_1])]) ).
fof(f1062,plain,
( ~ aSet0(slcrc0)
| ~ spl54_2
| ~ spl54_8 ),
inference(subsumption_resolution,[],[f1061,f602]) ).
fof(f1061,plain,
( aElementOf0(sK24(slcrc0),slcrc0)
| ~ aSet0(slcrc0)
| ~ spl54_2
| ~ spl54_8 ),
inference(trivial_inequality_removal,[],[f1058]) ).
fof(f1058,plain,
( xK != xK
| aElementOf0(sK24(slcrc0),slcrc0)
| ~ aSet0(slcrc0)
| ~ spl54_2
| ~ spl54_8 ),
inference(superposition,[],[f839,f638]) ).
fof(f638,plain,
( xK = sbrdtbr0(slcrc0)
| ~ spl54_2 ),
inference(backward_demodulation,[],[f617,f628]) ).
fof(f628,plain,
( xK = sF53
| ~ spl54_2 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl54_2
<=> xK = sF53 ),
introduced(avatar_definition,[new_symbols(naming,[spl54_2])]) ).
fof(f617,plain,
sbrdtbr0(slcrc0) = sF53,
introduced(function_definition,[]) ).
fof(f839,plain,
( ! [X4] :
( xK != sbrdtbr0(X4)
| aElementOf0(sK24(X4),X4)
| ~ aSet0(X4) )
| ~ spl54_8 ),
inference(subsumption_resolution,[],[f828,f602]) ).
fof(f828,plain,
( ! [X4] :
( aElementOf0(X4,slcrc0)
| xK != sbrdtbr0(X4)
| aElementOf0(sK24(X4),X4)
| ~ aSet0(X4) )
| ~ spl54_8 ),
inference(backward_demodulation,[],[f368,f704]) ).
fof(f704,plain,
( slcrc0 = szDzozmdt0(xc)
| ~ spl54_8 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f368,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| aElementOf0(sK24(X4),X4)
| ~ aSet0(X4) ),
inference(cnf_transformation,[],[f236]) ).
fof(f823,plain,
spl54_7,
inference(avatar_contradiction_clause,[],[f822]) ).
fof(f822,plain,
( $false
| spl54_7 ),
inference(subsumption_resolution,[],[f815,f363]) ).
fof(f363,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f236]) ).
fof(f815,plain,
( ~ aFunction0(xc)
| spl54_7 ),
inference(resolution,[],[f700,f423]) ).
fof(f423,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,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.mp8kXAjIfh/Vampire---4.8_14436',mDomSet) ).
fof(f700,plain,
( ~ aSet0(szDzozmdt0(xc))
| spl54_7 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f635,plain,
spl54_1,
inference(avatar_split_clause,[],[f603,f622]) ).
fof(f603,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f508]) ).
fof(f508,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f317]) ).
fof(f629,plain,
( ~ spl54_1
| spl54_2 ),
inference(avatar_split_clause,[],[f618,f626,f622]) ).
fof(f618,plain,
( xK = sF53
| ~ aSet0(slcrc0) ),
inference(definition_folding,[],[f595,f617]) ).
fof(f595,plain,
( xK = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f576]) ).
fof(f576,plain,
! [X0] :
( sbrdtbr0(X0) = xK
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f457,f358]) ).
fof(f457,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : NUM563+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.39 % Computer : n007.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Fri Aug 25 13:16:56 EDT 2023
% 0.18/0.39 % CPUTime :
% 0.18/0.39 This is a FOF_THM_RFO_SEQ problem
% 0.18/0.39 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.mp8kXAjIfh/Vampire---4.8_14436
% 0.18/0.40 % (14555)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (14564)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.25/0.46 % (14563)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.25/0.46 % (14558)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.25/0.46 % (14557)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.25/0.46 % (14559)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.25/0.46 % (14561)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.25/0.50 % (14565)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.25/0.50 % (14561)First to succeed.
% 0.25/0.50 % (14561)Refutation found. Thanks to Tanya!
% 0.25/0.50 % SZS status Theorem for Vampire---4
% 0.25/0.50 % SZS output start Proof for Vampire---4
% See solution above
% 0.25/0.50 % (14561)------------------------------
% 0.25/0.50 % (14561)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.50 % (14561)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.50 % (14561)Termination reason: Refutation
% 0.25/0.50
% 0.25/0.50 % (14561)Memory used [KB]: 6396
% 0.25/0.50 % (14561)Time elapsed: 0.038 s
% 0.25/0.50 % (14561)------------------------------
% 0.25/0.50 % (14561)------------------------------
% 0.25/0.50 % (14555)Success in time 0.105 s
% 0.25/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------