TSTP Solution File: LAT387+4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT387+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:25:16 EDT 2024
% Result : Theorem 0.68s 0.78s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 26
% Syntax : Number of formulae : 145 ( 16 unt; 0 def)
% Number of atoms : 839 ( 41 equ)
% Maximal formula atoms : 44 ( 5 avg)
% Number of connectives : 996 ( 302 ~; 285 |; 337 &)
% ( 6 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 7 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-3 aty)
% Number of variables : 212 ( 169 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1204,plain,
$false,
inference(avatar_sat_refutation,[],[f367,f380,f432,f441,f463,f472,f583,f956,f1195]) ).
fof(f1195,plain,
spl32_2,
inference(avatar_contradiction_clause,[],[f1194]) ).
fof(f1194,plain,
( $false
| spl32_2 ),
inference(subsumption_resolution,[],[f1152,f927]) ).
fof(f927,plain,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,sdtlpdtrp0(xf,xp)),sdtlpdtrp0(xf,xp))
| spl32_2 ),
inference(unit_resulting_resolution,[],[f685,f792,f264,f251]) ).
fof(f251,plain,
! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aUpperBoundOfIn0(X0,xT,xU)
| aElementOf0(X0,xP)
| ~ aElementOf0(X0,xU) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( ~ aUpperBoundOfIn0(X0,xT,xU)
& ~ sdtlseqdt0(sK15(X0),X0)
& aElementOf0(sK15(X0),xT) )
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU) )
& ( ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X2] :
( sdtlseqdt0(X2,X0)
| ~ aElementOf0(X2,xT) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f72,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) )
=> ( ~ sdtlseqdt0(sK15(X0),X0)
& aElementOf0(sK15(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( ~ aUpperBoundOfIn0(X0,xT,xU)
& ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) ) )
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU) )
& ( ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X2] :
( sdtlseqdt0(X2,X0)
| ~ aElementOf0(X2,xT) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
( xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( ~ aUpperBoundOfIn0(X0,xT,xU)
& ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) ) )
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU) )
& ( ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X2] :
( sdtlseqdt0(X2,X0)
| ~ aElementOf0(X2,xT) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
( xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( ( ( aUpperBoundOfIn0(X0,xT,xU)
| ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
=> aElementOf0(X0,xP) )
& ( aElementOf0(X0,xP)
=> ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X0) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) ) ) )
& aSet0(xP) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
( xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( ( ( aUpperBoundOfIn0(X0,xT,xU)
| ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
=> aElementOf0(X0,xP) )
& ( aElementOf0(X0,xP)
=> ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) ) ) )
& aSet0(xP) ),
file('/export/starexec/sandbox/tmp/tmp.UDstfIUHNw/Vampire---4.8_4845',m__1244) ).
fof(f264,plain,
aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ! [X0] :
( sdtlseqdt0(X0,sdtlpdtrp0(xf,xp))
| ~ aElementOf0(X0,xT) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,xp),X1)
| ~ aElementOf0(X1,xP) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
( aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,sdtlpdtrp0(xf,xp)) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X1) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
( aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,sdtlpdtrp0(xf,xp)) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.UDstfIUHNw/Vampire---4.8_4845',m__1299) ).
fof(f792,plain,
( ~ aElementOf0(sdtlpdtrp0(xf,xp),xP)
| spl32_2 ),
inference(unit_resulting_resolution,[],[f781,f255]) ).
fof(f255,plain,
! [X2] :
( sdtlseqdt0(xp,X2)
| ~ aElementOf0(X2,xP) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( aInfimumOfIn0(xp,xP,xU)
& ! [X0] :
( sdtlseqdt0(X0,xp)
| ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ( ~ sdtlseqdt0(X0,sK16(X0))
& aElementOf0(sK16(X0),xP) )
| ~ aElementOf0(X0,xU) ) ) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X2] :
( sdtlseqdt0(xp,X2)
| ~ aElementOf0(X2,xP) )
& aElementOf0(xp,xU)
& aElementOf0(xp,xU) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f73,f126]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
=> ( ~ sdtlseqdt0(X0,sK16(X0))
& aElementOf0(sK16(X0),xP) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( aInfimumOfIn0(xp,xP,xU)
& ! [X0] :
( sdtlseqdt0(X0,xp)
| ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
| ~ aElementOf0(X0,xU) ) ) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X2] :
( sdtlseqdt0(xp,X2)
| ~ aElementOf0(X2,xP) )
& aElementOf0(xp,xU)
& aElementOf0(xp,xU) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
( aInfimumOfIn0(xp,xP,xU)
& ! [X0] :
( ( aLowerBoundOfIn0(X0,xP,xU)
| ( ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xU) ) )
=> sdtlseqdt0(X0,xp) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(xp,X2) )
& aElementOf0(xp,xU)
& aElementOf0(xp,xU) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
( aInfimumOfIn0(xp,xP,xU)
& ! [X0] :
( ( aLowerBoundOfIn0(X0,xP,xU)
| ( ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xU) ) )
=> sdtlseqdt0(X0,xp) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(xp,X0) )
& aElementOf0(xp,xU)
& aElementOf0(xp,xU) ),
file('/export/starexec/sandbox/tmp/tmp.UDstfIUHNw/Vampire---4.8_4845',m__1261) ).
fof(f781,plain,
( ~ sdtlseqdt0(xp,sdtlpdtrp0(xf,xp))
| spl32_2 ),
inference(unit_resulting_resolution,[],[f500,f707,f598,f496,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.UDstfIUHNw/Vampire---4.8_4845',mASymm) ).
fof(f496,plain,
sdtlseqdt0(sdtlpdtrp0(xf,xp),xp),
inference(unit_resulting_resolution,[],[f262,f259]) ).
fof(f259,plain,
! [X0] :
( ~ aLowerBoundOfIn0(X0,xP,xU)
| sdtlseqdt0(X0,xp) ),
inference(cnf_transformation,[],[f127]) ).
fof(f262,plain,
aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU),
inference(cnf_transformation,[],[f74]) ).
fof(f598,plain,
( xp != sdtlpdtrp0(xf,xp)
| spl32_2 ),
inference(unit_resulting_resolution,[],[f336,f254,f326]) ).
fof(f326,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xU)
| sdtlpdtrp0(xf,X0) != X0 ),
inference(forward_demodulation,[],[f238,f323]) ).
fof(f323,plain,
xU = szDzozmdt0(xf),
inference(forward_demodulation,[],[f231,f232]) ).
fof(f232,plain,
xU = szRzazndt0(xf),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( isOn0(xf,xU)
& xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf)) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X2] :
( ( aSupremumOfIn0(sK11(X2),X2,xU)
& ! [X5] :
( sdtlseqdt0(sK11(X2),X5)
| ( ~ aUpperBoundOfIn0(X5,X2,xU)
& ( ( ~ sdtlseqdt0(sK12(X2,X5),X5)
& aElementOf0(sK12(X2,X5),X2) )
| ~ aElementOf0(X5,xU) ) ) )
& aUpperBoundOfIn0(sK11(X2),X2,xU)
& ! [X7] :
( sdtlseqdt0(X7,sK11(X2))
| ~ aElementOf0(X7,X2) )
& aElementOf0(sK11(X2),xU)
& aElementOf0(sK11(X2),xU)
& aInfimumOfIn0(sK10(X2),X2,xU)
& ! [X8] :
( sdtlseqdt0(X8,sK10(X2))
| ( ~ aLowerBoundOfIn0(X8,X2,xU)
& ( ( ~ sdtlseqdt0(X8,sK13(X2,X8))
& aElementOf0(sK13(X2,X8),X2) )
| ~ aElementOf0(X8,xU) ) ) )
& aLowerBoundOfIn0(sK10(X2),X2,xU)
& ! [X10] :
( sdtlseqdt0(sK10(X2),X10)
| ~ aElementOf0(X10,X2) )
& aElementOf0(sK10(X2),xU)
& aElementOf0(sK10(X2),xU) )
| ( ~ aSubsetOf0(X2,xU)
& ( ( ~ aElementOf0(sK14(X2),xU)
& aElementOf0(sK14(X2),X2) )
| ~ aSet0(X2) ) ) )
& aSet0(xU) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14])],[f117,f122,f121,f120,f119,f118]) ).
fof(f118,plain,
! [X2] :
( ? [X3] :
( ? [X4] :
( aSupremumOfIn0(X4,X2,xU)
& ! [X5] :
( sdtlseqdt0(X4,X5)
| ( ~ aUpperBoundOfIn0(X5,X2,xU)
& ( ? [X6] :
( ~ sdtlseqdt0(X6,X5)
& aElementOf0(X6,X2) )
| ~ aElementOf0(X5,xU) ) ) )
& aUpperBoundOfIn0(X4,X2,xU)
& ! [X7] :
( sdtlseqdt0(X7,X4)
| ~ aElementOf0(X7,X2) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) )
& aInfimumOfIn0(X3,X2,xU)
& ! [X8] :
( sdtlseqdt0(X8,X3)
| ( ~ aLowerBoundOfIn0(X8,X2,xU)
& ( ? [X9] :
( ~ sdtlseqdt0(X8,X9)
& aElementOf0(X9,X2) )
| ~ aElementOf0(X8,xU) ) ) )
& aLowerBoundOfIn0(X3,X2,xU)
& ! [X10] :
( sdtlseqdt0(X3,X10)
| ~ aElementOf0(X10,X2) )
& aElementOf0(X3,xU)
& aElementOf0(X3,xU) )
=> ( ? [X4] :
( aSupremumOfIn0(X4,X2,xU)
& ! [X5] :
( sdtlseqdt0(X4,X5)
| ( ~ aUpperBoundOfIn0(X5,X2,xU)
& ( ? [X6] :
( ~ sdtlseqdt0(X6,X5)
& aElementOf0(X6,X2) )
| ~ aElementOf0(X5,xU) ) ) )
& aUpperBoundOfIn0(X4,X2,xU)
& ! [X7] :
( sdtlseqdt0(X7,X4)
| ~ aElementOf0(X7,X2) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) )
& aInfimumOfIn0(sK10(X2),X2,xU)
& ! [X8] :
( sdtlseqdt0(X8,sK10(X2))
| ( ~ aLowerBoundOfIn0(X8,X2,xU)
& ( ? [X9] :
( ~ sdtlseqdt0(X8,X9)
& aElementOf0(X9,X2) )
| ~ aElementOf0(X8,xU) ) ) )
& aLowerBoundOfIn0(sK10(X2),X2,xU)
& ! [X10] :
( sdtlseqdt0(sK10(X2),X10)
| ~ aElementOf0(X10,X2) )
& aElementOf0(sK10(X2),xU)
& aElementOf0(sK10(X2),xU) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X2] :
( ? [X4] :
( aSupremumOfIn0(X4,X2,xU)
& ! [X5] :
( sdtlseqdt0(X4,X5)
| ( ~ aUpperBoundOfIn0(X5,X2,xU)
& ( ? [X6] :
( ~ sdtlseqdt0(X6,X5)
& aElementOf0(X6,X2) )
| ~ aElementOf0(X5,xU) ) ) )
& aUpperBoundOfIn0(X4,X2,xU)
& ! [X7] :
( sdtlseqdt0(X7,X4)
| ~ aElementOf0(X7,X2) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) )
=> ( aSupremumOfIn0(sK11(X2),X2,xU)
& ! [X5] :
( sdtlseqdt0(sK11(X2),X5)
| ( ~ aUpperBoundOfIn0(X5,X2,xU)
& ( ? [X6] :
( ~ sdtlseqdt0(X6,X5)
& aElementOf0(X6,X2) )
| ~ aElementOf0(X5,xU) ) ) )
& aUpperBoundOfIn0(sK11(X2),X2,xU)
& ! [X7] :
( sdtlseqdt0(X7,sK11(X2))
| ~ aElementOf0(X7,X2) )
& aElementOf0(sK11(X2),xU)
& aElementOf0(sK11(X2),xU) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X2,X5] :
( ? [X6] :
( ~ sdtlseqdt0(X6,X5)
& aElementOf0(X6,X2) )
=> ( ~ sdtlseqdt0(sK12(X2,X5),X5)
& aElementOf0(sK12(X2,X5),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X2,X8] :
( ? [X9] :
( ~ sdtlseqdt0(X8,X9)
& aElementOf0(X9,X2) )
=> ( ~ sdtlseqdt0(X8,sK13(X2,X8))
& aElementOf0(sK13(X2,X8),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X2] :
( ? [X11] :
( ~ aElementOf0(X11,xU)
& aElementOf0(X11,X2) )
=> ( ~ aElementOf0(sK14(X2),xU)
& aElementOf0(sK14(X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
( isOn0(xf,xU)
& xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf)) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X2] :
( ? [X3] :
( ? [X4] :
( aSupremumOfIn0(X4,X2,xU)
& ! [X5] :
( sdtlseqdt0(X4,X5)
| ( ~ aUpperBoundOfIn0(X5,X2,xU)
& ( ? [X6] :
( ~ sdtlseqdt0(X6,X5)
& aElementOf0(X6,X2) )
| ~ aElementOf0(X5,xU) ) ) )
& aUpperBoundOfIn0(X4,X2,xU)
& ! [X7] :
( sdtlseqdt0(X7,X4)
| ~ aElementOf0(X7,X2) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) )
& aInfimumOfIn0(X3,X2,xU)
& ! [X8] :
( sdtlseqdt0(X8,X3)
| ( ~ aLowerBoundOfIn0(X8,X2,xU)
& ( ? [X9] :
( ~ sdtlseqdt0(X8,X9)
& aElementOf0(X9,X2) )
| ~ aElementOf0(X8,xU) ) ) )
& aLowerBoundOfIn0(X3,X2,xU)
& ! [X10] :
( sdtlseqdt0(X3,X10)
| ~ aElementOf0(X10,X2) )
& aElementOf0(X3,xU)
& aElementOf0(X3,xU) )
| ( ~ aSubsetOf0(X2,xU)
& ( ? [X11] :
( ~ aElementOf0(X11,xU)
& aElementOf0(X11,X2) )
| ~ aSet0(X2) ) ) )
& aSet0(xU) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
( isOn0(xf,xU)
& xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf)) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X2] :
( ? [X4] :
( ? [X5] :
( aSupremumOfIn0(X5,X2,xU)
& ! [X6] :
( sdtlseqdt0(X5,X6)
| ( ~ aUpperBoundOfIn0(X6,X2,xU)
& ( ? [X7] :
( ~ sdtlseqdt0(X7,X6)
& aElementOf0(X7,X2) )
| ~ aElementOf0(X6,xU) ) ) )
& aUpperBoundOfIn0(X5,X2,xU)
& ! [X8] :
( sdtlseqdt0(X8,X5)
| ~ aElementOf0(X8,X2) )
& aElementOf0(X5,xU)
& aElementOf0(X5,xU) )
& aInfimumOfIn0(X4,X2,xU)
& ! [X9] :
( sdtlseqdt0(X9,X4)
| ( ~ aLowerBoundOfIn0(X9,X2,xU)
& ( ? [X10] :
( ~ sdtlseqdt0(X9,X10)
& aElementOf0(X10,X2) )
| ~ aElementOf0(X9,xU) ) ) )
& aLowerBoundOfIn0(X4,X2,xU)
& ! [X11] :
( sdtlseqdt0(X4,X11)
| ~ aElementOf0(X11,X2) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) )
| ( ~ aSubsetOf0(X2,xU)
& ( ? [X3] :
( ~ aElementOf0(X3,xU)
& aElementOf0(X3,X2) )
| ~ aSet0(X2) ) ) )
& aSet0(xU) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
( isOn0(xf,xU)
& xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf)) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X2] :
( ? [X4] :
( ? [X5] :
( aSupremumOfIn0(X5,X2,xU)
& ! [X6] :
( sdtlseqdt0(X5,X6)
| ( ~ aUpperBoundOfIn0(X6,X2,xU)
& ( ? [X7] :
( ~ sdtlseqdt0(X7,X6)
& aElementOf0(X7,X2) )
| ~ aElementOf0(X6,xU) ) ) )
& aUpperBoundOfIn0(X5,X2,xU)
& ! [X8] :
( sdtlseqdt0(X8,X5)
| ~ aElementOf0(X8,X2) )
& aElementOf0(X5,xU)
& aElementOf0(X5,xU) )
& aInfimumOfIn0(X4,X2,xU)
& ! [X9] :
( sdtlseqdt0(X9,X4)
| ( ~ aLowerBoundOfIn0(X9,X2,xU)
& ( ? [X10] :
( ~ sdtlseqdt0(X9,X10)
& aElementOf0(X10,X2) )
| ~ aElementOf0(X9,xU) ) ) )
& aLowerBoundOfIn0(X4,X2,xU)
& ! [X11] :
( sdtlseqdt0(X4,X11)
| ~ aElementOf0(X11,X2) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) )
| ( ~ aSubsetOf0(X2,xU)
& ( ? [X3] :
( ~ aElementOf0(X3,xU)
& aElementOf0(X3,X2) )
| ~ aSet0(X2) ) ) )
& aSet0(xU) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
( isOn0(xf,xU)
& xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X0,X1] :
( ( aElementOf0(X1,szDzozmdt0(xf))
& aElementOf0(X0,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X0,X1)
=> sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1)) ) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X2] :
( ( aSubsetOf0(X2,xU)
| ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,xU) )
& aSet0(X2) ) )
=> ? [X4] :
( ? [X5] :
( aSupremumOfIn0(X5,X2,xU)
& ! [X6] :
( ( aUpperBoundOfIn0(X6,X2,xU)
| ( ! [X7] :
( aElementOf0(X7,X2)
=> sdtlseqdt0(X7,X6) )
& aElementOf0(X6,xU) ) )
=> sdtlseqdt0(X5,X6) )
& aUpperBoundOfIn0(X5,X2,xU)
& ! [X8] :
( aElementOf0(X8,X2)
=> sdtlseqdt0(X8,X5) )
& aElementOf0(X5,xU)
& aElementOf0(X5,xU) )
& aInfimumOfIn0(X4,X2,xU)
& ! [X9] :
( ( aLowerBoundOfIn0(X9,X2,xU)
| ( ! [X10] :
( aElementOf0(X10,X2)
=> sdtlseqdt0(X9,X10) )
& aElementOf0(X9,xU) ) )
=> sdtlseqdt0(X9,X4) )
& aLowerBoundOfIn0(X4,X2,xU)
& ! [X11] :
( aElementOf0(X11,X2)
=> sdtlseqdt0(X4,X11) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) ) )
& aSet0(xU) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
( isOn0(xf,xU)
& xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X0,X1] :
( ( aElementOf0(X1,szDzozmdt0(xf))
& aElementOf0(X0,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X0,X1)
=> sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1)) ) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X0] :
( ( aSubsetOf0(X0,xU)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xU) )
& aSet0(X0) ) )
=> ? [X1] :
( ? [X2] :
( aSupremumOfIn0(X2,X0,xU)
& ! [X3] :
( ( aUpperBoundOfIn0(X3,X0,xU)
| ( ! [X4] :
( aElementOf0(X4,X0)
=> sdtlseqdt0(X4,X3) )
& aElementOf0(X3,xU) ) )
=> sdtlseqdt0(X2,X3) )
& aUpperBoundOfIn0(X2,X0,xU)
& ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X3,X2) )
& aElementOf0(X2,xU)
& aElementOf0(X2,xU) )
& aInfimumOfIn0(X1,X0,xU)
& ! [X2] :
( ( aLowerBoundOfIn0(X2,X0,xU)
| ( ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X2,X3) )
& aElementOf0(X2,xU) ) )
=> sdtlseqdt0(X2,X1) )
& aLowerBoundOfIn0(X1,X0,xU)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,xU)
& aElementOf0(X1,xU) ) )
& aSet0(xU) ),
file('/export/starexec/sandbox/tmp/tmp.UDstfIUHNw/Vampire---4.8_4845',m__1123) ).
fof(f231,plain,
szDzozmdt0(xf) = szRzazndt0(xf),
inference(cnf_transformation,[],[f123]) ).
fof(f238,plain,
! [X0] :
( aElementOf0(X0,xS)
| sdtlpdtrp0(xf,X0) != X0
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( xS = cS1142(xf)
& ! [X0] :
( ( aElementOf0(X0,xS)
| ( ~ aFixedPointOf0(X0,xf)
& ( sdtlpdtrp0(xf,X0) != X0
| ~ aElementOf0(X0,szDzozmdt0(xf)) ) ) )
& ( ( aFixedPointOf0(X0,xf)
& sdtlpdtrp0(xf,X0) = X0
& aElementOf0(X0,szDzozmdt0(xf)) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
( xS = cS1142(xf)
& ! [X0] :
( ( ( aFixedPointOf0(X0,xf)
| ( sdtlpdtrp0(xf,X0) = X0
& aElementOf0(X0,szDzozmdt0(xf)) ) )
=> aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
=> ( aFixedPointOf0(X0,xf)
& sdtlpdtrp0(xf,X0) = X0
& aElementOf0(X0,szDzozmdt0(xf)) ) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.UDstfIUHNw/Vampire---4.8_4845',m__1144) ).
fof(f254,plain,
aElementOf0(xp,xU),
inference(cnf_transformation,[],[f127]) ).
fof(f336,plain,
( ~ aElementOf0(xp,xS)
| spl32_2 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f334,plain,
( spl32_2
<=> aElementOf0(xp,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).
fof(f707,plain,
aElement0(sdtlpdtrp0(xf,xp)),
inference(unit_resulting_resolution,[],[f178,f685,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.UDstfIUHNw/Vampire---4.8_4845',mEOfElem) ).
fof(f178,plain,
aSet0(xU),
inference(cnf_transformation,[],[f123]) ).
fof(f500,plain,
aElement0(xp),
inference(unit_resulting_resolution,[],[f178,f254,f131]) ).
fof(f685,plain,
aElementOf0(sdtlpdtrp0(xf,xp),xU),
inference(unit_resulting_resolution,[],[f254,f684]) ).
fof(f684,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xf,X0),xU)
| ~ aElementOf0(X0,xU) ),
inference(forward_demodulation,[],[f683,f323]) ).
fof(f683,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xf,X0),xU)
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(subsumption_resolution,[],[f672,f228]) ).
fof(f228,plain,
aFunction0(xf),
inference(cnf_transformation,[],[f123]) ).
fof(f672,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xf,X0),xU)
| ~ aElementOf0(X0,szDzozmdt0(xf))
| ~ aFunction0(xf) ),
inference(superposition,[],[f169,f232]) ).
fof(f169,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.UDstfIUHNw/Vampire---4.8_4845',mImgSort) ).
fof(f1152,plain,
sdtlseqdt0(sdtlpdtrp0(xf,sdtlpdtrp0(xf,xp)),sdtlpdtrp0(xf,xp)),
inference(unit_resulting_resolution,[],[f496,f685,f254,f325]) ).
fof(f325,plain,
! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ aElementOf0(X1,xU)
| ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_demodulation,[],[f324,f323]) ).
fof(f324,plain,
! [X0,X1] :
( ~ aElementOf0(X1,xU)
| sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(forward_demodulation,[],[f229,f323]) ).
fof(f229,plain,
! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f956,plain,
( spl32_5
| ~ spl32_15
| ~ spl32_19 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f955,plain,
( $false
| spl32_5
| ~ spl32_15
| ~ spl32_19 ),
inference(subsumption_resolution,[],[f949,f926]) ).
fof(f926,plain,
( ~ sdtlseqdt0(sK15(sK17),sK17)
| spl32_5
| ~ spl32_19 ),
inference(subsumption_resolution,[],[f925,f586]) ).
fof(f586,plain,
( aElementOf0(sK17,xU)
| ~ spl32_19 ),
inference(unit_resulting_resolution,[],[f453,f327]) ).
fof(f327,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,xU) ),
inference(forward_demodulation,[],[f235,f323]) ).
fof(f235,plain,
! [X0] :
( aElementOf0(X0,szDzozmdt0(xf))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f69]) ).
fof(f453,plain,
( aElementOf0(sK17,xS)
| ~ spl32_19 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl32_19
<=> aElementOf0(sK17,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_19])]) ).
fof(f925,plain,
( ~ sdtlseqdt0(sK15(sK17),sK17)
| ~ aElementOf0(sK17,xU)
| spl32_5
| ~ spl32_19 ),
inference(subsumption_resolution,[],[f924,f584]) ).
fof(f584,plain,
( ~ aElementOf0(sK17,xP)
| spl32_5 ),
inference(unit_resulting_resolution,[],[f353,f255]) ).
fof(f353,plain,
( ~ sdtlseqdt0(xp,sK17)
| spl32_5 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f351,plain,
( spl32_5
<=> sdtlseqdt0(xp,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).
fof(f924,plain,
( ~ sdtlseqdt0(sK15(sK17),sK17)
| aElementOf0(sK17,xP)
| ~ aElementOf0(sK17,xU)
| ~ spl32_19 ),
inference(subsumption_resolution,[],[f920,f591]) ).
fof(f591,plain,
( sdtlseqdt0(sK17,sK17)
| ~ spl32_19 ),
inference(unit_resulting_resolution,[],[f589,f138]) ).
fof(f138,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( aElement0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.UDstfIUHNw/Vampire---4.8_4845',mARefl) ).
fof(f589,plain,
( aElement0(sK17)
| ~ spl32_19 ),
inference(unit_resulting_resolution,[],[f234,f453,f131]) ).
fof(f234,plain,
aSet0(xS),
inference(cnf_transformation,[],[f69]) ).
fof(f920,plain,
( ~ sdtlseqdt0(sK17,sK17)
| ~ sdtlseqdt0(sK15(sK17),sK17)
| aElementOf0(sK17,xP)
| ~ aElementOf0(sK17,xU)
| ~ spl32_19 ),
inference(superposition,[],[f250,f585]) ).
fof(f585,plain,
( sK17 = sdtlpdtrp0(xf,sK17)
| ~ spl32_19 ),
inference(unit_resulting_resolution,[],[f453,f236]) ).
fof(f236,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| sdtlpdtrp0(xf,X0) = X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f250,plain,
! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ sdtlseqdt0(sK15(X0),X0)
| aElementOf0(X0,xP)
| ~ aElementOf0(X0,xU) ),
inference(cnf_transformation,[],[f125]) ).
fof(f949,plain,
( sdtlseqdt0(sK15(sK17),sK17)
| spl32_5
| ~ spl32_15
| ~ spl32_19 ),
inference(unit_resulting_resolution,[],[f855,f422]) ).
fof(f422,plain,
( ! [X1] :
( sdtlseqdt0(X1,sK17)
| ~ aElementOf0(X1,xT) )
| ~ spl32_15 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl32_15
<=> ! [X1] :
( sdtlseqdt0(X1,sK17)
| ~ aElementOf0(X1,xT) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_15])]) ).
fof(f855,plain,
( aElementOf0(sK15(sK17),xT)
| spl32_5
| ~ spl32_19 ),
inference(subsumption_resolution,[],[f854,f586]) ).
fof(f854,plain,
( aElementOf0(sK15(sK17),xT)
| ~ aElementOf0(sK17,xU)
| spl32_5
| ~ spl32_19 ),
inference(subsumption_resolution,[],[f853,f584]) ).
fof(f853,plain,
( aElementOf0(sK15(sK17),xT)
| aElementOf0(sK17,xP)
| ~ aElementOf0(sK17,xU)
| ~ spl32_19 ),
inference(subsumption_resolution,[],[f826,f591]) ).
fof(f826,plain,
( ~ sdtlseqdt0(sK17,sK17)
| aElementOf0(sK15(sK17),xT)
| aElementOf0(sK17,xP)
| ~ aElementOf0(sK17,xU)
| ~ spl32_19 ),
inference(superposition,[],[f249,f585]) ).
fof(f249,plain,
! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| aElementOf0(sK15(X0),xT)
| aElementOf0(X0,xP)
| ~ aElementOf0(X0,xU) ),
inference(cnf_transformation,[],[f125]) ).
fof(f583,plain,
( spl32_7
| ~ spl32_9 ),
inference(avatar_contradiction_clause,[],[f582]) ).
fof(f582,plain,
( $false
| spl32_7
| ~ spl32_9 ),
inference(subsumption_resolution,[],[f573,f549]) ).
fof(f549,plain,
( sdtlseqdt0(sK18,sK16(sK18))
| spl32_7
| ~ spl32_9 ),
inference(unit_resulting_resolution,[],[f379,f547,f247]) ).
fof(f247,plain,
! [X2,X0] :
( sdtlseqdt0(X2,X0)
| ~ aElementOf0(X2,xT)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f125]) ).
fof(f547,plain,
( aElementOf0(sK16(sK18),xP)
| spl32_7
| ~ spl32_9 ),
inference(unit_resulting_resolution,[],[f493,f366,f257]) ).
fof(f257,plain,
! [X0] :
( aElementOf0(sK16(X0),xP)
| sdtlseqdt0(X0,xp)
| ~ aElementOf0(X0,xU) ),
inference(cnf_transformation,[],[f127]) ).
fof(f366,plain,
( ~ sdtlseqdt0(sK18,xp)
| spl32_7 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f364,plain,
( spl32_7
<=> sdtlseqdt0(sK18,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).
fof(f493,plain,
( aElementOf0(sK18,xU)
| ~ spl32_9 ),
inference(unit_resulting_resolution,[],[f490,f327]) ).
fof(f490,plain,
( aElementOf0(sK18,xS)
| ~ spl32_9 ),
inference(unit_resulting_resolution,[],[f379,f242]) ).
fof(f242,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( aSubsetOf0(xT,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xT) )
& aSet0(xT) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
( aSubsetOf0(xT,xS)
& ! [X0] :
( aElementOf0(X0,xT)
=> aElementOf0(X0,xS) )
& aSet0(xT) ),
file('/export/starexec/sandbox/tmp/tmp.UDstfIUHNw/Vampire---4.8_4845',m__1173) ).
fof(f379,plain,
( aElementOf0(sK18,xT)
| ~ spl32_9 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl32_9
<=> aElementOf0(sK18,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_9])]) ).
fof(f573,plain,
( ~ sdtlseqdt0(sK18,sK16(sK18))
| spl32_7
| ~ spl32_9 ),
inference(unit_resulting_resolution,[],[f493,f366,f258]) ).
fof(f258,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sK16(X0))
| sdtlseqdt0(X0,xp)
| ~ aElementOf0(X0,xU) ),
inference(cnf_transformation,[],[f127]) ).
fof(f472,plain,
( spl32_9
| spl32_19
| ~ spl32_2 ),
inference(avatar_split_clause,[],[f471,f334,f451,f377]) ).
fof(f471,plain,
( ~ aElementOf0(xp,xS)
| aElementOf0(sK17,xS)
| aElementOf0(sK18,xT) ),
inference(forward_literal_rewriting,[],[f266,f237]) ).
fof(f237,plain,
! [X0] :
( aFixedPointOf0(X0,xf)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f69]) ).
fof(f266,plain,
( aElementOf0(sK17,xS)
| aElementOf0(sK18,xT)
| ~ aFixedPointOf0(xp,xf) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( ~ aSupremumOfIn0(xp,xT,xS)
& ( ( ~ sdtlseqdt0(xp,sK17)
& aUpperBoundOfIn0(sK17,xT,xS)
& ! [X1] :
( sdtlseqdt0(X1,sK17)
| ~ aElementOf0(X1,xT) )
& aElementOf0(sK17,xS) )
| ( ~ aUpperBoundOfIn0(xp,xT,xS)
& ~ sdtlseqdt0(sK18,xp)
& aElementOf0(sK18,xT) ) ) )
| ( ~ aFixedPointOf0(xp,xf)
& ( xp != sdtlpdtrp0(xf,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f76,f129,f128]) ).
fof(f128,plain,
( ? [X0] :
( ~ sdtlseqdt0(xp,X0)
& aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aElementOf0(X0,xS) )
=> ( ~ sdtlseqdt0(xp,sK17)
& aUpperBoundOfIn0(sK17,xT,xS)
& ! [X1] :
( sdtlseqdt0(X1,sK17)
| ~ aElementOf0(X1,xT) )
& aElementOf0(sK17,xS) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X2] :
( ~ sdtlseqdt0(X2,xp)
& aElementOf0(X2,xT) )
=> ( ~ sdtlseqdt0(sK18,xp)
& aElementOf0(sK18,xT) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ( ~ aSupremumOfIn0(xp,xT,xS)
& ( ? [X0] :
( ~ sdtlseqdt0(xp,X0)
& aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aElementOf0(X0,xS) )
| ( ~ aUpperBoundOfIn0(xp,xT,xS)
& ? [X2] :
( ~ sdtlseqdt0(X2,xp)
& aElementOf0(X2,xT) ) ) ) )
| ( ~ aFixedPointOf0(xp,xf)
& ( xp != sdtlpdtrp0(xf,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
( ( ~ aSupremumOfIn0(xp,xT,xS)
& ( ? [X0] :
( ~ sdtlseqdt0(xp,X0)
& aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aElementOf0(X0,xS) )
| ( ~ aUpperBoundOfIn0(xp,xT,xS)
& ? [X2] :
( ~ sdtlseqdt0(X2,xp)
& aElementOf0(X2,xT) ) ) ) )
| ( ~ aFixedPointOf0(xp,xf)
& ( xp != sdtlpdtrp0(xf,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
~ ( ( aSupremumOfIn0(xp,xT,xS)
| ( ! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) )
=> sdtlseqdt0(xp,X0) )
& ( aUpperBoundOfIn0(xp,xT,xS)
| ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,xp) ) ) ) )
& ( aFixedPointOf0(xp,xf)
| ( xp = sdtlpdtrp0(xf,xp)
& aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,negated_conjecture,
~ ( ( aSupremumOfIn0(xp,xT,xS)
| ( ! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) )
=> sdtlseqdt0(xp,X0) )
& ( aUpperBoundOfIn0(xp,xT,xS)
| ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) ) ) ) )
& ( aFixedPointOf0(xp,xf)
| ( xp = sdtlpdtrp0(xf,xp)
& aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
( ( aSupremumOfIn0(xp,xT,xS)
| ( ! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) )
=> sdtlseqdt0(xp,X0) )
& ( aUpperBoundOfIn0(xp,xT,xS)
| ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) ) ) ) )
& ( aFixedPointOf0(xp,xf)
| ( xp = sdtlpdtrp0(xf,xp)
& aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UDstfIUHNw/Vampire---4.8_4845',m__) ).
fof(f463,plain,
( ~ spl32_7
| spl32_19
| ~ spl32_2 ),
inference(avatar_split_clause,[],[f462,f334,f451,f364]) ).
fof(f462,plain,
( ~ aElementOf0(xp,xS)
| aElementOf0(sK17,xS)
| ~ sdtlseqdt0(sK18,xp) ),
inference(forward_literal_rewriting,[],[f268,f237]) ).
fof(f268,plain,
( aElementOf0(sK17,xS)
| ~ sdtlseqdt0(sK18,xp)
| ~ aFixedPointOf0(xp,xf) ),
inference(cnf_transformation,[],[f130]) ).
fof(f441,plain,
( spl32_9
| spl32_15
| ~ spl32_2 ),
inference(avatar_split_clause,[],[f440,f334,f421,f377]) ).
fof(f440,plain,
! [X1] :
( ~ aElementOf0(xp,xS)
| sdtlseqdt0(X1,sK17)
| ~ aElementOf0(X1,xT)
| aElementOf0(sK18,xT) ),
inference(forward_literal_rewriting,[],[f272,f237]) ).
fof(f272,plain,
! [X1] :
( sdtlseqdt0(X1,sK17)
| ~ aElementOf0(X1,xT)
| aElementOf0(sK18,xT)
| ~ aFixedPointOf0(xp,xf) ),
inference(cnf_transformation,[],[f130]) ).
fof(f432,plain,
( ~ spl32_7
| spl32_15
| ~ spl32_2 ),
inference(avatar_split_clause,[],[f431,f334,f421,f364]) ).
fof(f431,plain,
! [X1] :
( ~ aElementOf0(xp,xS)
| sdtlseqdt0(X1,sK17)
| ~ aElementOf0(X1,xT)
| ~ sdtlseqdt0(sK18,xp) ),
inference(forward_literal_rewriting,[],[f274,f237]) ).
fof(f274,plain,
! [X1] :
( sdtlseqdt0(X1,sK17)
| ~ aElementOf0(X1,xT)
| ~ sdtlseqdt0(sK18,xp)
| ~ aFixedPointOf0(xp,xf) ),
inference(cnf_transformation,[],[f130]) ).
fof(f380,plain,
( spl32_9
| ~ spl32_5
| ~ spl32_2 ),
inference(avatar_split_clause,[],[f375,f334,f351,f377]) ).
fof(f375,plain,
( ~ aElementOf0(xp,xS)
| ~ sdtlseqdt0(xp,sK17)
| aElementOf0(sK18,xT) ),
inference(forward_literal_rewriting,[],[f284,f237]) ).
fof(f284,plain,
( ~ sdtlseqdt0(xp,sK17)
| aElementOf0(sK18,xT)
| ~ aFixedPointOf0(xp,xf) ),
inference(cnf_transformation,[],[f130]) ).
fof(f367,plain,
( ~ spl32_7
| ~ spl32_5
| ~ spl32_2 ),
inference(avatar_split_clause,[],[f362,f334,f351,f364]) ).
fof(f362,plain,
( ~ aElementOf0(xp,xS)
| ~ sdtlseqdt0(xp,sK17)
| ~ sdtlseqdt0(sK18,xp) ),
inference(forward_literal_rewriting,[],[f286,f237]) ).
fof(f286,plain,
( ~ sdtlseqdt0(xp,sK17)
| ~ sdtlseqdt0(sK18,xp)
| ~ aFixedPointOf0(xp,xf) ),
inference(cnf_transformation,[],[f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT387+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 12:53:45 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.UDstfIUHNw/Vampire---4.8_4845
% 0.55/0.74 % (4961)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.74 % (4954)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (4956)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (4958)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (4955)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.74 % (4957)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74 % (4959)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74 % (4960)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.76 % (4961)Instruction limit reached!
% 0.55/0.76 % (4961)------------------------------
% 0.55/0.76 % (4961)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (4961)Termination reason: Unknown
% 0.55/0.76 % (4961)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (4961)Memory used [KB]: 1987
% 0.55/0.76 % (4961)Time elapsed: 0.022 s
% 0.55/0.76 % (4961)Instructions burned: 58 (million)
% 0.55/0.76 % (4961)------------------------------
% 0.55/0.76 % (4961)------------------------------
% 0.55/0.76 % (4954)Instruction limit reached!
% 0.55/0.76 % (4954)------------------------------
% 0.55/0.76 % (4954)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (4954)Termination reason: Unknown
% 0.55/0.76 % (4954)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (4954)Memory used [KB]: 1504
% 0.55/0.76 % (4954)Time elapsed: 0.022 s
% 0.55/0.76 % (4954)Instructions burned: 35 (million)
% 0.55/0.76 % (4954)------------------------------
% 0.55/0.76 % (4954)------------------------------
% 0.55/0.76 % (4957)Instruction limit reached!
% 0.55/0.76 % (4957)------------------------------
% 0.55/0.76 % (4957)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (4958)Instruction limit reached!
% 0.55/0.76 % (4958)------------------------------
% 0.55/0.76 % (4958)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (4958)Termination reason: Unknown
% 0.55/0.76 % (4958)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (4958)Memory used [KB]: 1590
% 0.55/0.76 % (4958)Time elapsed: 0.023 s
% 0.55/0.76 % (4958)Instructions burned: 34 (million)
% 0.55/0.76 % (4958)------------------------------
% 0.55/0.76 % (4958)------------------------------
% 0.55/0.76 % (4957)Termination reason: Unknown
% 0.55/0.76 % (4957)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (4957)Memory used [KB]: 1604
% 0.55/0.76 % (4957)Time elapsed: 0.023 s
% 0.55/0.76 % (4957)Instructions burned: 34 (million)
% 0.55/0.76 % (4957)------------------------------
% 0.55/0.76 % (4957)------------------------------
% 0.68/0.76 % (4962)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 Vampire---4 for (2996ds/55Mi)
% 0.68/0.76 % (4963)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 Vampire---4 for (2996ds/50Mi)
% 0.68/0.76 % (4964)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.68/0.76 % (4965)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.68/0.77 % (4959)Instruction limit reached!
% 0.68/0.77 % (4959)------------------------------
% 0.68/0.77 % (4959)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77 % (4959)Termination reason: Unknown
% 0.68/0.77 % (4959)Termination phase: Saturation
% 0.68/0.77
% 0.68/0.77 % (4959)Memory used [KB]: 1653
% 0.68/0.77 % (4959)Time elapsed: 0.030 s
% 0.68/0.77 % (4959)Instructions burned: 45 (million)
% 0.68/0.77 % (4959)------------------------------
% 0.68/0.77 % (4959)------------------------------
% 0.68/0.77 % (4966)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.68/0.77 % (4955)Instruction limit reached!
% 0.68/0.77 % (4955)------------------------------
% 0.68/0.77 % (4955)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77 % (4955)Termination reason: Unknown
% 0.68/0.77 % (4955)Termination phase: Saturation
% 0.68/0.77
% 0.68/0.77 % (4955)Memory used [KB]: 2104
% 0.68/0.77 % (4955)Time elapsed: 0.036 s
% 0.68/0.77 % (4955)Instructions burned: 51 (million)
% 0.68/0.77 % (4955)------------------------------
% 0.68/0.77 % (4955)------------------------------
% 0.68/0.78 % (4967)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.68/0.78 % (4962)First to succeed.
% 0.68/0.78 % (4962)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4953"
% 0.68/0.78 % (4962)Refutation found. Thanks to Tanya!
% 0.68/0.78 % SZS status Theorem for Vampire---4
% 0.68/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.78 % (4962)------------------------------
% 0.68/0.78 % (4962)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78 % (4962)Termination reason: Refutation
% 0.68/0.78
% 0.68/0.78 % (4962)Memory used [KB]: 1637
% 0.68/0.78 % (4962)Time elapsed: 0.021 s
% 0.68/0.78 % (4962)Instructions burned: 62 (million)
% 0.68/0.78 % (4953)Success in time 0.405 s
% 0.68/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------