TSTP Solution File: NUM566+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM566+3 : TPTP v8.2.0. 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 : n008.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 : Tue May 21 01:43:19 EDT 2024
% Result : Theorem 0.71s 0.92s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 120 ( 15 unt; 0 def)
% Number of atoms : 680 ( 142 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 850 ( 290 ~; 244 |; 261 &)
% ( 17 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 244 ( 199 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1242,plain,
$false,
inference(avatar_sat_refutation,[],[f1004,f1054,f1125,f1230]) ).
fof(f1230,plain,
( spl30_27
| ~ spl30_36 ),
inference(avatar_split_clause,[],[f1229,f1002,f797]) ).
fof(f797,plain,
( spl30_27
<=> ! [X0] : ~ aElementOf0(X0,slbdtsldtrb0(xS,xK)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_27])]) ).
fof(f1002,plain,
( spl30_36
<=> ! [X1] :
( ~ aElementOf0(sdtlpdtrp0(xc,X1),xT)
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_36])]) ).
fof(f1229,plain,
( ! [X0] : ~ aElementOf0(X0,slbdtsldtrb0(xS,xK))
| ~ spl30_36 ),
inference(subsumption_resolution,[],[f1220,f383]) ).
fof(f383,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xK))
| ~ sP4(X0) ),
inference(definition_unfolding,[],[f302,f293]) ).
fof(f293,plain,
sz00 = xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 = xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f302,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ( ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& ( sz00 != sbrdtbr0(X0)
| ( ~ aSubsetOf0(X0,xS)
& ( ( ~ aElementOf0(sK16(X0),xS)
& aElementOf0(sK16(X0),X0) )
| ~ aSet0(X0) ) ) ) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f197,f198]) ).
fof(f198,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
=> ( ~ aElementOf0(sK16(X0),xS)
& aElementOf0(sK16(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
! [X0] :
( ( ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& ( sz00 != sbrdtbr0(X0)
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) ) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& ( sz00 != sbrdtbr0(X0)
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) ) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1220,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xK))
| sP4(X0) )
| ~ spl30_36 ),
inference(resolution,[],[f732,f1003]) ).
fof(f1003,plain,
( ! [X1] :
( ~ aElementOf0(sdtlpdtrp0(xc,X1),xT)
| sP4(X1) )
| ~ spl30_36 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f732,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xc,X0),xT)
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xK)) ),
inference(forward_demodulation,[],[f731,f255]) ).
fof(f255,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f175]) ).
fof(f175,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,sK6(X1)) = X1
& aElementOf0(sK6(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(sK7(X4),xS)
& aElementOf0(sK7(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,[sK6,sK7])],[f172,f174,f173]) ).
fof(f173,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
=> ( sdtlpdtrp0(xc,sK6(X1)) = X1
& aElementOf0(sK6(X1),szDzozmdt0(xc)) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X4] :
( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK7(X4),xS)
& aElementOf0(sK7(X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f172,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,[],[f171]) ).
fof(f171,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,[],[f100]) ).
fof(f100,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,[],[f99]) ).
fof(f99,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,[],[f83]) ).
fof(f83,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/benchmark/theBenchmark.p',m__3453) ).
fof(f731,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xc,X0),xT)
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(subsumption_resolution,[],[f721,f247]) ).
fof(f247,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f175]) ).
fof(f721,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xc,X0),xT)
| ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aFunction0(xc) ),
inference(resolution,[],[f260,f351]) ).
fof(f351,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,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/benchmark/theBenchmark.p',mImgRng) ).
fof(f260,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f175]) ).
fof(f1125,plain,
~ spl30_27,
inference(avatar_contradiction_clause,[],[f1124]) ).
fof(f1124,plain,
( $false
| ~ spl30_27 ),
inference(subsumption_resolution,[],[f1123,f243]) ).
fof(f243,plain,
aSet0(xS),
inference(cnf_transformation,[],[f98]) ).
fof(f98,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/benchmark/theBenchmark.p',m__3435) ).
fof(f1123,plain,
( ~ aSet0(xS)
| ~ spl30_27 ),
inference(subsumption_resolution,[],[f1114,f297]) ).
fof(f297,plain,
aSubsetOf0(slcrc0,xS),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& aSubsetOf0(slcrc0,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,slcrc0) )
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& aSubsetOf0(slcrc0,xS)
& ! [X0] :
( aElementOf0(X0,slcrc0)
=> aElementOf0(X0,xS) )
& ~ ? [X1] : aElementOf0(X1,slcrc0)
& aSet0(slcrc0) ),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& aSubsetOf0(slcrc0,xS)
& ! [X0] :
( aElementOf0(X0,slcrc0)
=> aElementOf0(X0,xS) )
& ~ ? [X0] : aElementOf0(X0,slcrc0)
& aSet0(slcrc0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3476) ).
fof(f1114,plain,
( ~ aSubsetOf0(slcrc0,xS)
| ~ aSet0(xS)
| ~ spl30_27 ),
inference(resolution,[],[f798,f477]) ).
fof(f477,plain,
! [X0] :
( aElementOf0(slcrc0,slbdtsldtrb0(X0,xK))
| ~ aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f471,f242]) ).
fof(f242,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f471,plain,
! [X0] :
( aElementOf0(slcrc0,slbdtsldtrb0(X0,xK))
| ~ aSubsetOf0(slcrc0,X0)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(X0) ),
inference(superposition,[],[f404,f423]) ).
fof(f423,plain,
xK = sbrdtbr0(slcrc0),
inference(subsumption_resolution,[],[f413,f415]) ).
fof(f415,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f370]) ).
fof(f370,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK29(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f236,f237]) ).
fof(f237,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK29(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f235]) ).
fof(f235,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f234]) ).
fof(f234,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f148]) ).
fof(f148,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/benchmark/theBenchmark.p',mDefEmp) ).
fof(f413,plain,
( xK = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f389]) ).
fof(f389,plain,
! [X0] :
( sbrdtbr0(X0) = xK
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f361,f293]) ).
fof(f361,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,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/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f404,plain,
! [X0,X4] :
( aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
| ~ aSubsetOf0(X4,X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f403]) ).
fof(f403,plain,
! [X2,X0,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f342]) ).
fof(f342,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ( ( sbrdtbr0(sK22(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK22(X0,X1,X2),X0)
| ~ aElementOf0(sK22(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK22(X0,X1,X2)) = X1
& aSubsetOf0(sK22(X0,X1,X2),X0) )
| aElementOf0(sK22(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f219,f220]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK22(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK22(X0,X1,X2),X0)
| ~ aElementOf0(sK22(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK22(X0,X1,X2)) = X1
& aSubsetOf0(sK22(X0,X1,X2),X0) )
| aElementOf0(sK22(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(rectify,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f798,plain,
( ! [X0] : ~ aElementOf0(X0,slbdtsldtrb0(xS,xK))
| ~ spl30_27 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f1054,plain,
~ spl30_35,
inference(avatar_contradiction_clause,[],[f1053]) ).
fof(f1053,plain,
( $false
| ~ spl30_35 ),
inference(subsumption_resolution,[],[f1052,f243]) ).
fof(f1052,plain,
( ~ aSet0(xS)
| ~ spl30_35 ),
inference(subsumption_resolution,[],[f1042,f246]) ).
fof(f246,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f98]) ).
fof(f1042,plain,
( ~ isCountable0(xS)
| ~ aSet0(xS)
| ~ spl30_35 ),
inference(resolution,[],[f999,f322]) ).
fof(f322,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f999,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,xS)
| ~ isCountable0(X0) )
| ~ spl30_35 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f998,plain,
( spl30_35
<=> ! [X0] :
( ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_35])]) ).
fof(f1004,plain,
( spl30_36
| spl30_35 ),
inference(avatar_split_clause,[],[f985,f998,f1002]) ).
fof(f985,plain,
! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(sdtlpdtrp0(xc,X1),xT)
| sP4(X1) ),
inference(resolution,[],[f314,f898]) ).
fof(f898,plain,
! [X0,X1] :
( ~ sP5(sdtlpdtrp0(xc,X0),X1)
| sP4(X0) ),
inference(superposition,[],[f897,f305]) ).
fof(f305,plain,
! [X0] :
( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
| sP4(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0) )
| sP4(X0) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& aSet0(slcrc0) )
| sP4(X0) ),
inference(definition_folding,[],[f104,f167]) ).
fof(f104,plain,
! [X0] :
( ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& aSet0(slcrc0) )
| ( ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& ( sz00 != sbrdtbr0(X0)
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) ) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
| ( sz00 = sbrdtbr0(X0)
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) ) )
=> ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
& ~ ? [X2] : aElementOf0(X2,slcrc0)
& aSet0(slcrc0) ) ),
inference(rectify,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
| ( sz00 = sbrdtbr0(X0)
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) ) )
=> ( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
& ~ ? [X1] : aElementOf0(X1,slcrc0)
& aSet0(slcrc0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3507) ).
fof(f897,plain,
! [X0] : ~ sP5(sdtlpdtrp0(xc,slcrc0),X0),
inference(equality_resolution,[],[f832]) ).
fof(f832,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,slcrc0) != X0
| ~ sP5(X0,X1) ),
inference(duplicate_literal_removal,[],[f829]) ).
fof(f829,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,slcrc0) != X0
| ~ sP5(X0,X1)
| ~ sP5(X0,X1) ),
inference(superposition,[],[f311,f823]) ).
fof(f823,plain,
! [X0,X1] :
( slcrc0 = sK17(X0,X1)
| ~ sP5(X0,X1) ),
inference(subsumption_resolution,[],[f822,f306]) ).
fof(f306,plain,
! [X0,X1] :
( aSet0(sK17(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1] :
( ( sdtlpdtrp0(xc,sK17(X0,X1)) != X0
& aElementOf0(sK17(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK17(X0,X1))
& aSubsetOf0(sK17(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK17(X0,X1)) )
& aSet0(sK17(X0,X1)) )
| ~ sP5(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f201,f202]) ).
fof(f202,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,sK17(X0,X1)) != X0
& aElementOf0(sK17(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK17(X0,X1))
& aSubsetOf0(sK17(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK17(X0,X1)) )
& aSet0(sK17(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f201,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) )
| ~ sP5(X0,X1) ),
inference(nnf_transformation,[],[f169]) ).
fof(f169,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) )
| ~ sP5(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f822,plain,
! [X0,X1] :
( slcrc0 = sK17(X0,X1)
| ~ aSet0(sK17(X0,X1))
| ~ sP5(X0,X1) ),
inference(trivial_inequality_removal,[],[f819]) ).
fof(f819,plain,
! [X0,X1] :
( xK != xK
| slcrc0 = sK17(X0,X1)
| ~ aSet0(sK17(X0,X1))
| ~ sP5(X0,X1) ),
inference(superposition,[],[f390,f309]) ).
fof(f309,plain,
! [X0,X1] :
( xK = sbrdtbr0(sK17(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
fof(f390,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f360,f293]) ).
fof(f360,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f311,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,sK17(X0,X1)) != X0
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
fof(f314,plain,
! [X0,X1] :
( sP5(X0,X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( sP5(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ( ~ aElementOf0(sK18(X1),xS)
& aElementOf0(sK18(X1),X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f204,f205]) ).
fof(f205,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK18(X1),xS)
& aElementOf0(sK18(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( sP5(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( sP5(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) ),
inference(definition_folding,[],[f106,f169]) ).
fof(f106,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) ),
inference(flattening,[],[f105]) ).
fof(f105,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) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ? [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,[],[f82]) ).
fof(f82,negated_conjecture,
~ ? [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,[],[f81]) ).
fof(f81,conjecture,
? [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/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM566+3 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % 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
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 07:04:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.90 % (8448)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.71/0.90 % (8446)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 theBenchmark for (2994ds/34Mi)
% 0.71/0.90 % (8449)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.71/0.90 % (8447)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 theBenchmark for (2994ds/51Mi)
% 0.71/0.90 % (8450)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 theBenchmark for (2994ds/34Mi)
% 0.71/0.90 % (8451)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.71/0.90 % (8452)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 theBenchmark for (2994ds/83Mi)
% 0.71/0.90 % (8453)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.71/0.91 % (8449)Instruction limit reached!
% 0.71/0.91 % (8449)------------------------------
% 0.71/0.91 % (8449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91 % (8449)Termination reason: Unknown
% 0.71/0.91 % (8450)Instruction limit reached!
% 0.71/0.91 % (8450)------------------------------
% 0.71/0.91 % (8450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91 % (8449)Termination phase: Saturation
% 0.71/0.91
% 0.71/0.91 % (8449)Memory used [KB]: 1719
% 0.71/0.91 % (8449)Time elapsed: 0.019 s
% 0.71/0.91 % (8449)Instructions burned: 34 (million)
% 0.71/0.91 % (8449)------------------------------
% 0.71/0.91 % (8449)------------------------------
% 0.71/0.91 % (8450)Termination reason: Unknown
% 0.71/0.91 % (8450)Termination phase: Saturation
% 0.71/0.91
% 0.71/0.91 % (8450)Memory used [KB]: 1708
% 0.71/0.91 % (8450)Time elapsed: 0.019 s
% 0.71/0.91 % (8450)Instructions burned: 35 (million)
% 0.71/0.91 % (8450)------------------------------
% 0.71/0.91 % (8450)------------------------------
% 0.71/0.92 % (8446)Instruction limit reached!
% 0.71/0.92 % (8446)------------------------------
% 0.71/0.92 % (8446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.92 % (8446)Termination reason: Unknown
% 0.71/0.92 % (8446)Termination phase: Saturation
% 0.71/0.92
% 0.71/0.92 % (8446)Memory used [KB]: 1573
% 0.71/0.92 % (8446)Time elapsed: 0.021 s
% 0.71/0.92 % (8446)Instructions burned: 35 (million)
% 0.71/0.92 % (8446)------------------------------
% 0.71/0.92 % (8446)------------------------------
% 0.71/0.92 % (8451)First to succeed.
% 0.71/0.92 % (8456)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.71/0.92 % (8457)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.71/0.92 % (8458)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.71/0.92 % (8451)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8386"
% 0.71/0.92 % (8451)Refutation found. Thanks to Tanya!
% 0.71/0.92 % SZS status Theorem for theBenchmark
% 0.71/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.92 % (8451)------------------------------
% 0.71/0.92 % (8451)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.92 % (8451)Termination reason: Refutation
% 0.71/0.92
% 0.71/0.92 % (8451)Memory used [KB]: 1489
% 0.71/0.92 % (8451)Time elapsed: 0.025 s
% 0.71/0.92 % (8451)Instructions burned: 43 (million)
% 0.71/0.92 % (8386)Success in time 0.562 s
% 0.71/0.92 % Vampire---4.8 exiting
%------------------------------------------------------------------------------