TSTP Solution File: LAT387+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT387+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.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 : Wed Aug 31 17:35:41 EDT 2022
% Result : Theorem 2.23s 0.65s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 29
% Syntax : Number of formulae : 162 ( 18 unt; 0 def)
% Number of atoms : 870 ( 47 equ)
% Maximal formula atoms : 37 ( 5 avg)
% Number of connectives : 1037 ( 329 ~; 306 |; 325 &)
% ( 11 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 11 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 222 ( 179 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f752,plain,
$false,
inference(avatar_sat_refutation,[],[f273,f292,f293,f307,f312,f315,f316,f541,f623,f710,f719,f751]) ).
fof(f751,plain,
( ~ spl20_2
| ~ spl20_5
| spl20_6 ),
inference(avatar_contradiction_clause,[],[f750]) ).
fof(f750,plain,
( $false
| ~ spl20_2
| ~ spl20_5
| spl20_6 ),
inference(subsumption_resolution,[],[f749,f746]) ).
fof(f746,plain,
( aElementOf0(sK16(sK9),xT)
| ~ spl20_2
| spl20_6 ),
inference(subsumption_resolution,[],[f745,f631]) ).
fof(f631,plain,
( aElementOf0(sK9,xU)
| ~ spl20_2 ),
inference(unit_resulting_resolution,[],[f268,f318]) ).
fof(f318,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,xU) ),
inference(backward_demodulation,[],[f147,f317]) ).
fof(f317,plain,
xU = szDzozmdt0(xf),
inference(backward_demodulation,[],[f175,f170]) ).
fof(f170,plain,
xU = szRzazndt0(xf),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( aFunction0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isOn0(xf,xU)
& isMonotone0(xf)
& ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szDzozmdt0(xf))
| sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X0))
| ~ aElementOf0(X1,szDzozmdt0(xf)) )
& aCompleteLattice0(xU)
& xU = szRzazndt0(xf)
& aSet0(xU)
& ! [X2] :
( sP0(X2)
| ( ( ~ aSet0(X2)
| ( aElementOf0(sK6(X2),X2)
& ~ aElementOf0(sK6(X2),xU) ) )
& ~ aSubsetOf0(X2,xU) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f90,f91]) ).
fof(f91,plain,
! [X2] :
( ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,xU) )
=> ( aElementOf0(sK6(X2),X2)
& ~ aElementOf0(sK6(X2),xU) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( aFunction0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isOn0(xf,xU)
& isMonotone0(xf)
& ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szDzozmdt0(xf))
| sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X0))
| ~ aElementOf0(X1,szDzozmdt0(xf)) )
& aCompleteLattice0(xU)
& xU = szRzazndt0(xf)
& aSet0(xU)
& ! [X2] :
( sP0(X2)
| ( ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,xU) ) )
& ~ aSubsetOf0(X2,xU) ) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
( aFunction0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isOn0(xf,xU)
& isMonotone0(xf)
& ! [X11,X10] :
( ~ sdtlseqdt0(X10,X11)
| ~ aElementOf0(X11,szDzozmdt0(xf))
| sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11))
| ~ aElementOf0(X10,szDzozmdt0(xf)) )
& aCompleteLattice0(xU)
& xU = szRzazndt0(xf)
& aSet0(xU)
& ! [X0] :
( sP0(X0)
| ( ( ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xU) ) )
& ~ aSubsetOf0(X0,xU) ) ) ),
inference(definition_folding,[],[f52,f79]) ).
fof(f79,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ aElementOf0(X3,X0)
| sdtlseqdt0(X2,X3) )
& aInfimumOfIn0(X2,X0,xU)
& ! [X8] :
( ( ~ aLowerBoundOfIn0(X8,X0,xU)
& ( ? [X9] :
( aElementOf0(X9,X0)
& ~ sdtlseqdt0(X8,X9) )
| ~ aElementOf0(X8,xU) ) )
| sdtlseqdt0(X8,X2) )
& aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ? [X4] :
( aElementOf0(X4,xU)
& aSupremumOfIn0(X4,X0,xU)
& aElementOf0(X4,xU)
& ! [X5] :
( sdtlseqdt0(X4,X5)
| ( ( ~ aElementOf0(X5,xU)
| ? [X6] :
( ~ sdtlseqdt0(X6,X5)
& aElementOf0(X6,X0) ) )
& ~ aUpperBoundOfIn0(X5,X0,xU) ) )
& ! [X7] :
( ~ aElementOf0(X7,X0)
| sdtlseqdt0(X7,X4) )
& aUpperBoundOfIn0(X4,X0,xU) )
& aLowerBoundOfIn0(X2,X0,xU) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f52,plain,
( aFunction0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isOn0(xf,xU)
& isMonotone0(xf)
& ! [X11,X10] :
( ~ sdtlseqdt0(X10,X11)
| ~ aElementOf0(X11,szDzozmdt0(xf))
| sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11))
| ~ aElementOf0(X10,szDzozmdt0(xf)) )
& aCompleteLattice0(xU)
& xU = szRzazndt0(xf)
& aSet0(xU)
& ! [X0] :
( ? [X2] :
( ! [X3] :
( ~ aElementOf0(X3,X0)
| sdtlseqdt0(X2,X3) )
& aInfimumOfIn0(X2,X0,xU)
& ! [X8] :
( ( ~ aLowerBoundOfIn0(X8,X0,xU)
& ( ? [X9] :
( aElementOf0(X9,X0)
& ~ sdtlseqdt0(X8,X9) )
| ~ aElementOf0(X8,xU) ) )
| sdtlseqdt0(X8,X2) )
& aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ? [X4] :
( aElementOf0(X4,xU)
& aSupremumOfIn0(X4,X0,xU)
& aElementOf0(X4,xU)
& ! [X5] :
( sdtlseqdt0(X4,X5)
| ( ( ~ aElementOf0(X5,xU)
| ? [X6] :
( ~ sdtlseqdt0(X6,X5)
& aElementOf0(X6,X0) ) )
& ~ aUpperBoundOfIn0(X5,X0,xU) ) )
& ! [X7] :
( ~ aElementOf0(X7,X0)
| sdtlseqdt0(X7,X4) )
& aUpperBoundOfIn0(X4,X0,xU) )
& aLowerBoundOfIn0(X2,X0,xU) )
| ( ( ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xU) ) )
& ~ aSubsetOf0(X0,xU) ) ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
( isOn0(xf,xU)
& aSet0(xU)
& aCompleteLattice0(xU)
& isMonotone0(xf)
& xU = szRzazndt0(xf)
& aFunction0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& ! [X11,X10] :
( sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11))
| ~ sdtlseqdt0(X10,X11)
| ~ aElementOf0(X11,szDzozmdt0(xf))
| ~ aElementOf0(X10,szDzozmdt0(xf)) )
& ! [X0] :
( ? [X2] :
( ! [X3] :
( ~ aElementOf0(X3,X0)
| sdtlseqdt0(X2,X3) )
& aInfimumOfIn0(X2,X0,xU)
& ! [X8] :
( ( ~ aLowerBoundOfIn0(X8,X0,xU)
& ( ? [X9] :
( aElementOf0(X9,X0)
& ~ sdtlseqdt0(X8,X9) )
| ~ aElementOf0(X8,xU) ) )
| sdtlseqdt0(X8,X2) )
& aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ? [X4] :
( aElementOf0(X4,xU)
& aSupremumOfIn0(X4,X0,xU)
& aElementOf0(X4,xU)
& ! [X5] :
( sdtlseqdt0(X4,X5)
| ( ( ~ aElementOf0(X5,xU)
| ? [X6] :
( ~ sdtlseqdt0(X6,X5)
& aElementOf0(X6,X0) ) )
& ~ aUpperBoundOfIn0(X5,X0,xU) ) )
& ! [X7] :
( ~ aElementOf0(X7,X0)
| sdtlseqdt0(X7,X4) )
& aUpperBoundOfIn0(X4,X0,xU) )
& aLowerBoundOfIn0(X2,X0,xU) )
| ( ( ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xU) ) )
& ~ aSubsetOf0(X0,xU) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
( isOn0(xf,xU)
& aSet0(xU)
& aCompleteLattice0(xU)
& isMonotone0(xf)
& xU = szRzazndt0(xf)
& aFunction0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& ! [X11,X10] :
( ( aElementOf0(X11,szDzozmdt0(xf))
& aElementOf0(X10,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X10,X11)
=> sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11)) ) )
& ! [X0] :
( ( aSubsetOf0(X0,xU)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xU) )
& aSet0(X0) ) )
=> ? [X2] :
( aElementOf0(X2,xU)
& ? [X4] :
( aElementOf0(X4,xU)
& aUpperBoundOfIn0(X4,X0,xU)
& ! [X7] :
( aElementOf0(X7,X0)
=> sdtlseqdt0(X7,X4) )
& aSupremumOfIn0(X4,X0,xU)
& aElementOf0(X4,xU)
& ! [X5] :
( ( aUpperBoundOfIn0(X5,X0,xU)
| ( aElementOf0(X5,xU)
& ! [X6] :
( aElementOf0(X6,X0)
=> sdtlseqdt0(X6,X5) ) ) )
=> sdtlseqdt0(X4,X5) ) )
& ! [X8] :
( ( ( aElementOf0(X8,xU)
& ! [X9] :
( aElementOf0(X9,X0)
=> sdtlseqdt0(X8,X9) ) )
| aLowerBoundOfIn0(X8,X0,xU) )
=> sdtlseqdt0(X8,X2) )
& aLowerBoundOfIn0(X2,X0,xU)
& aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X2,X3) )
& aInfimumOfIn0(X2,X0,xU) ) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
( isMonotone0(xf)
& ! [X0] :
( ( aSubsetOf0(X0,xU)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xU) )
& aSet0(X0) ) )
=> ? [X1] :
( aElementOf0(X1,xU)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aInfimumOfIn0(X1,X0,xU)
& ? [X2] :
( ! [X3] :
( ( ( ! [X4] :
( aElementOf0(X4,X0)
=> sdtlseqdt0(X4,X3) )
& aElementOf0(X3,xU) )
| aUpperBoundOfIn0(X3,X0,xU) )
=> sdtlseqdt0(X2,X3) )
& ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X3,X2) )
& aUpperBoundOfIn0(X2,X0,xU)
& aSupremumOfIn0(X2,X0,xU)
& aElementOf0(X2,xU)
& aElementOf0(X2,xU) )
& ! [X2] :
( ( aLowerBoundOfIn0(X2,X0,xU)
| ( ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X2,X3) )
& aElementOf0(X2,xU) ) )
=> sdtlseqdt0(X2,X1) )
& aLowerBoundOfIn0(X1,X0,xU)
& aElementOf0(X1,xU) ) )
& aSet0(xU)
& aFunction0(xf)
& aCompleteLattice0(xU)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isOn0(xf,xU)
& xU = szRzazndt0(xf)
& ! [X0,X1] :
( ( aElementOf0(X1,szDzozmdt0(xf))
& aElementOf0(X0,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X0,X1)
=> sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1123) ).
fof(f175,plain,
szDzozmdt0(xf) = szRzazndt0(xf),
inference(cnf_transformation,[],[f92]) ).
fof(f147,plain,
! [X0] :
( aElementOf0(X0,szDzozmdt0(xf))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ! [X0] :
( ( aElementOf0(X0,xS)
| ( ( sdtlpdtrp0(xf,X0) != X0
| ~ aElementOf0(X0,szDzozmdt0(xf)) )
& ~ aFixedPointOf0(X0,xf) ) )
& ( ( aElementOf0(X0,szDzozmdt0(xf))
& sdtlpdtrp0(xf,X0) = X0
& aFixedPointOf0(X0,xf) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS)
& xS = cS1142(xf) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
( aSet0(xS)
& ! [X0] :
( ( ( aFixedPointOf0(X0,xf)
| ( sdtlpdtrp0(xf,X0) = X0
& aElementOf0(X0,szDzozmdt0(xf)) ) )
=> aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
=> ( aElementOf0(X0,szDzozmdt0(xf))
& sdtlpdtrp0(xf,X0) = X0
& aFixedPointOf0(X0,xf) ) ) )
& xS = cS1142(xf) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1144) ).
fof(f268,plain,
( aElementOf0(sK9,xS)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl20_2
<=> aElementOf0(sK9,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f745,plain,
( ~ aElementOf0(sK9,xU)
| aElementOf0(sK16(sK9),xT)
| ~ spl20_2
| spl20_6 ),
inference(subsumption_resolution,[],[f744,f634]) ).
fof(f634,plain,
( sdtlseqdt0(sK9,sK9)
| ~ spl20_2 ),
inference(unit_resulting_resolution,[],[f633,f215]) ).
fof(f215,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( aElement0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mARefl) ).
fof(f633,plain,
( aElement0(sK9)
| ~ spl20_2 ),
inference(unit_resulting_resolution,[],[f144,f268,f142]) ).
fof(f142,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,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/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f144,plain,
aSet0(xS),
inference(cnf_transformation,[],[f72]) ).
fof(f744,plain,
( ~ sdtlseqdt0(sK9,sK9)
| ~ aElementOf0(sK9,xU)
| aElementOf0(sK16(sK9),xT)
| ~ spl20_2
| spl20_6 ),
inference(subsumption_resolution,[],[f725,f635]) ).
fof(f635,plain,
( ~ aElementOf0(sK9,xP)
| spl20_6 ),
inference(unit_resulting_resolution,[],[f286,f223]) ).
fof(f223,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| sdtlseqdt0(xp,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xP) )
& aLowerBoundOfIn0(xp,xP,xU)
& aInfimumOfIn0(xp,xP,xU)
& aElementOf0(xp,xU)
& ! [X1] :
( ( ~ aLowerBoundOfIn0(X1,xP,xU)
& ( ~ aElementOf0(X1,xU)
| ( aElementOf0(sK15(X1),xP)
& ~ sdtlseqdt0(X1,sK15(X1)) ) ) )
| sdtlseqdt0(X1,xp) )
& aElementOf0(xp,xU) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f120,f121]) ).
fof(f121,plain,
! [X1] :
( ? [X2] :
( aElementOf0(X2,xP)
& ~ sdtlseqdt0(X1,X2) )
=> ( aElementOf0(sK15(X1),xP)
& ~ sdtlseqdt0(X1,sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
( ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xP) )
& aLowerBoundOfIn0(xp,xP,xU)
& aInfimumOfIn0(xp,xP,xU)
& aElementOf0(xp,xU)
& ! [X1] :
( ( ~ aLowerBoundOfIn0(X1,xP,xU)
& ( ~ aElementOf0(X1,xU)
| ? [X2] :
( aElementOf0(X2,xP)
& ~ sdtlseqdt0(X1,X2) ) ) )
| sdtlseqdt0(X1,xp) )
& aElementOf0(xp,xU) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
( ! [X2] :
( sdtlseqdt0(xp,X2)
| ~ aElementOf0(X2,xP) )
& aLowerBoundOfIn0(xp,xP,xU)
& aInfimumOfIn0(xp,xP,xU)
& aElementOf0(xp,xU)
& ! [X0] :
( ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ~ aElementOf0(X0,xU)
| ? [X1] :
( aElementOf0(X1,xP)
& ~ sdtlseqdt0(X0,X1) ) ) )
| sdtlseqdt0(X0,xp) )
& aElementOf0(xp,xU) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
( aInfimumOfIn0(xp,xP,xU)
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X0] :
( ( ( ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xU) )
| aLowerBoundOfIn0(X0,xP,xU) )
=> sdtlseqdt0(X0,xp) )
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(xp,X2) )
& aElementOf0(xp,xU)
& aElementOf0(xp,xU) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
( ! [X0] :
( ( ( ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xU) )
| aLowerBoundOfIn0(X0,xP,xU) )
=> sdtlseqdt0(X0,xp) )
& aInfimumOfIn0(xp,xP,xU)
& aElementOf0(xp,xU)
& ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(xp,X0) )
& aLowerBoundOfIn0(xp,xP,xU)
& aElementOf0(xp,xU) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1261) ).
fof(f286,plain,
( ~ sdtlseqdt0(xp,sK9)
| spl20_6 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl20_6
<=> sdtlseqdt0(xp,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f725,plain,
( aElementOf0(sK9,xP)
| aElementOf0(sK16(sK9),xT)
| ~ aElementOf0(sK9,xU)
| ~ sdtlseqdt0(sK9,sK9)
| ~ spl20_2 ),
inference(superposition,[],[f234,f630]) ).
fof(f630,plain,
( sdtlpdtrp0(xf,sK9) = sK9
| ~ spl20_2 ),
inference(unit_resulting_resolution,[],[f268,f146]) ).
fof(f146,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| sdtlpdtrp0(xf,X0) = X0 ),
inference(cnf_transformation,[],[f72]) ).
fof(f234,plain,
! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU)
| aElementOf0(X0,xP)
| aElementOf0(sK16(X0),xT) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( aSet0(xP)
& ! [X0] :
( ( ( sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aUpperBoundOfIn0(X0,xT,xU)
& aElementOf0(X0,xU)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) ) )
| ~ aElementOf0(X0,xP) )
& ( ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ( ~ sdtlseqdt0(sK16(X0),X0)
& aElementOf0(sK16(X0),xT)
& ~ aUpperBoundOfIn0(X0,xT,xU) )
| aElementOf0(X0,xP) ) )
& xP = cS1241(xU,xf,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f48,f125]) ).
fof(f125,plain,
! [X0] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X0)
& aElementOf0(X2,xT) )
=> ( ~ sdtlseqdt0(sK16(X0),X0)
& aElementOf0(sK16(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( aSet0(xP)
& ! [X0] :
( ( ( sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aUpperBoundOfIn0(X0,xT,xU)
& aElementOf0(X0,xU)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) ) )
| ~ aElementOf0(X0,xP) )
& ( ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ( ? [X2] :
( ~ sdtlseqdt0(X2,X0)
& aElementOf0(X2,xT) )
& ~ aUpperBoundOfIn0(X0,xT,xU) )
| aElementOf0(X0,xP) ) )
& xP = cS1241(xU,xf,xT) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
( xP = cS1241(xU,xf,xT)
& aSet0(xP)
& ! [X0] :
( ( ( sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aUpperBoundOfIn0(X0,xT,xU)
& aElementOf0(X0,xU)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) ) )
| ~ aElementOf0(X0,xP) )
& ( aElementOf0(X0,xP)
| ( ? [X2] :
( ~ sdtlseqdt0(X2,X0)
& aElementOf0(X2,xT) )
& ~ aUpperBoundOfIn0(X0,xT,xU) )
| ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
( xP = cS1241(xU,xf,xT)
& aSet0(xP)
& ! [X0] :
( ( aElementOf0(X0,xP)
=> ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) ) )
& ( ( ( ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X0) )
| aUpperBoundOfIn0(X0,xT,xU) )
& aElementOf0(X0,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0) )
=> aElementOf0(X0,xP) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
( aSet0(xP)
& ! [X0] :
( ( aElementOf0(X0,xP)
=> ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) ) )
& ( ( ( aUpperBoundOfIn0(X0,xT,xU)
| ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
=> aElementOf0(X0,xP) ) )
& xP = cS1241(xU,xf,xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1244) ).
fof(f749,plain,
( ~ aElementOf0(sK16(sK9),xT)
| ~ spl20_2
| ~ spl20_5
| spl20_6 ),
inference(unit_resulting_resolution,[],[f144,f231,f281,f738,f212]) ).
fof(f212,plain,
! [X2,X3,X0,X1] :
( ~ aUpperBoundOfIn0(X2,X1,X0)
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(X3,X2)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ~ aSubsetOf0(X1,X0)
| ! [X2] :
( ( ( aElementOf0(X2,X0)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlseqdt0(X3,X2) ) )
| ~ aUpperBoundOfIn0(X2,X1,X0) )
& ( aUpperBoundOfIn0(X2,X1,X0)
| ~ aElementOf0(X2,X0)
| ( aElementOf0(sK14(X1,X2),X1)
& ~ sdtlseqdt0(sK14(X1,X2),X2) ) ) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f117,f118]) ).
fof(f118,plain,
! [X1,X2] :
( ? [X4] :
( aElementOf0(X4,X1)
& ~ sdtlseqdt0(X4,X2) )
=> ( aElementOf0(sK14(X1,X2),X1)
& ~ sdtlseqdt0(sK14(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ~ aSubsetOf0(X1,X0)
| ! [X2] :
( ( ( aElementOf0(X2,X0)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlseqdt0(X3,X2) ) )
| ~ aUpperBoundOfIn0(X2,X1,X0) )
& ( aUpperBoundOfIn0(X2,X1,X0)
| ~ aElementOf0(X2,X0)
| ? [X4] :
( aElementOf0(X4,X1)
& ~ sdtlseqdt0(X4,X2) ) ) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ~ aSubsetOf0(X1,X0)
| ! [X2] :
( ( ( aElementOf0(X2,X0)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlseqdt0(X3,X2) ) )
| ~ aUpperBoundOfIn0(X2,X1,X0) )
& ( aUpperBoundOfIn0(X2,X1,X0)
| ~ aElementOf0(X2,X0)
| ? [X3] :
( aElementOf0(X3,X1)
& ~ sdtlseqdt0(X3,X2) ) ) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ~ aSubsetOf0(X1,X0)
| ! [X2] :
( ( ( aElementOf0(X2,X0)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlseqdt0(X3,X2) ) )
| ~ aUpperBoundOfIn0(X2,X1,X0) )
& ( aUpperBoundOfIn0(X2,X1,X0)
| ~ aElementOf0(X2,X0)
| ? [X3] :
( aElementOf0(X3,X1)
& ~ sdtlseqdt0(X3,X2) ) ) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ~ aSubsetOf0(X1,X0)
| ! [X2] :
( ( aElementOf0(X2,X0)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlseqdt0(X3,X2) ) )
<=> aUpperBoundOfIn0(X2,X1,X0) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> ! [X2] :
( ( aElementOf0(X2,X0)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) ) )
<=> aUpperBoundOfIn0(X2,X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefUB) ).
fof(f738,plain,
( ~ sdtlseqdt0(sK16(sK9),sK9)
| ~ spl20_2
| spl20_6 ),
inference(subsumption_resolution,[],[f737,f635]) ).
fof(f737,plain,
( ~ sdtlseqdt0(sK16(sK9),sK9)
| aElementOf0(sK9,xP)
| ~ spl20_2 ),
inference(subsumption_resolution,[],[f736,f631]) ).
fof(f736,plain,
( ~ aElementOf0(sK9,xU)
| aElementOf0(sK9,xP)
| ~ sdtlseqdt0(sK16(sK9),sK9)
| ~ spl20_2 ),
inference(subsumption_resolution,[],[f726,f634]) ).
fof(f726,plain,
( ~ sdtlseqdt0(sK9,sK9)
| aElementOf0(sK9,xP)
| ~ aElementOf0(sK9,xU)
| ~ sdtlseqdt0(sK16(sK9),sK9)
| ~ spl20_2 ),
inference(superposition,[],[f235,f630]) ).
fof(f235,plain,
! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ sdtlseqdt0(sK16(X0),X0)
| aElementOf0(X0,xP)
| ~ aElementOf0(X0,xU) ),
inference(cnf_transformation,[],[f126]) ).
fof(f281,plain,
( aUpperBoundOfIn0(sK9,xT,xS)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl20_5
<=> aUpperBoundOfIn0(sK9,xT,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f231,plain,
aSubsetOf0(xT,xS),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( aSubsetOf0(xT,xS)
& aSet0(xT)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xT) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
( ! [X0] :
( aElementOf0(X0,xT)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xT,xS)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1173) ).
fof(f719,plain,
( ~ spl20_1
| spl20_7
| ~ spl20_13 ),
inference(avatar_split_clause,[],[f712,f688,f289,f262]) ).
fof(f262,plain,
( spl20_1
<=> aElementOf0(sK10,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f289,plain,
( spl20_7
<=> sdtlseqdt0(sK10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f688,plain,
( spl20_13
<=> aElementOf0(xp,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f712,plain,
( ~ aElementOf0(sK10,xT)
| spl20_7
| ~ spl20_13 ),
inference(unit_resulting_resolution,[],[f291,f690,f236]) ).
fof(f236,plain,
! [X0,X1] :
( ~ aElementOf0(X1,xT)
| ~ aElementOf0(X0,xP)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f690,plain,
( aElementOf0(xp,xP)
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f291,plain,
( ~ sdtlseqdt0(sK10,xp)
| spl20_7 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f710,plain,
( spl20_13
| ~ spl20_9 ),
inference(avatar_split_clause,[],[f709,f299,f688]) ).
fof(f299,plain,
( spl20_9
<=> xp = sdtlpdtrp0(xf,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).
fof(f709,plain,
( aElementOf0(xp,xP)
| ~ spl20_9 ),
inference(subsumption_resolution,[],[f708,f338]) ).
fof(f338,plain,
sdtlseqdt0(xp,xp),
inference(unit_resulting_resolution,[],[f222,f219]) ).
fof(f219,plain,
! [X1] :
( ~ aLowerBoundOfIn0(X1,xP,xU)
| sdtlseqdt0(X1,xp) ),
inference(cnf_transformation,[],[f122]) ).
fof(f222,plain,
aLowerBoundOfIn0(xp,xP,xU),
inference(cnf_transformation,[],[f122]) ).
fof(f708,plain,
( ~ sdtlseqdt0(xp,xp)
| aElementOf0(xp,xP)
| ~ spl20_9 ),
inference(subsumption_resolution,[],[f707,f544]) ).
fof(f544,plain,
( aUpperBoundOfIn0(xp,xT,xU)
| ~ spl20_9 ),
inference(backward_demodulation,[],[f258,f300]) ).
fof(f300,plain,
( xp = sdtlpdtrp0(xf,xp)
| ~ spl20_9 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f258,plain,
aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtlpdtrp0(xf,xp))
| ~ aElementOf0(X0,xT) )
& aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,xp),X1)
| ~ aElementOf0(X1,xP) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,sdtlpdtrp0(xf,xp)) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X1) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,sdtlpdtrp0(xf,xp)) )
& aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X0) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1299) ).
fof(f707,plain,
( ~ aUpperBoundOfIn0(xp,xT,xU)
| ~ sdtlseqdt0(xp,xp)
| aElementOf0(xp,xP)
| ~ spl20_9 ),
inference(subsumption_resolution,[],[f672,f220]) ).
fof(f220,plain,
aElementOf0(xp,xU),
inference(cnf_transformation,[],[f122]) ).
fof(f672,plain,
( ~ aElementOf0(xp,xU)
| aElementOf0(xp,xP)
| ~ sdtlseqdt0(xp,xp)
| ~ aUpperBoundOfIn0(xp,xT,xU)
| ~ spl20_9 ),
inference(superposition,[],[f233,f300]) ).
fof(f233,plain,
! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aUpperBoundOfIn0(X0,xT,xU)
| ~ aElementOf0(X0,xU)
| aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f126]) ).
fof(f623,plain,
( ~ spl20_9
| spl20_11 ),
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f622,plain,
( $false
| ~ spl20_9
| spl20_11 ),
inference(subsumption_resolution,[],[f349,f300]) ).
fof(f349,plain,
( xp != sdtlpdtrp0(xf,xp)
| spl20_11 ),
inference(unit_resulting_resolution,[],[f335,f220,f319]) ).
fof(f319,plain,
! [X0] :
( sdtlpdtrp0(xf,X0) != X0
| ~ aElementOf0(X0,xU)
| aElementOf0(X0,xS) ),
inference(backward_demodulation,[],[f149,f317]) ).
fof(f149,plain,
! [X0] :
( aElementOf0(X0,xS)
| sdtlpdtrp0(xf,X0) != X0
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f335,plain,
( ~ aElementOf0(xp,xS)
| spl20_11 ),
inference(unit_resulting_resolution,[],[f311,f145]) ).
fof(f145,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aFixedPointOf0(X0,xf) ),
inference(cnf_transformation,[],[f72]) ).
fof(f311,plain,
( ~ aFixedPointOf0(xp,xf)
| spl20_11 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl20_11
<=> aFixedPointOf0(xp,xf) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f541,plain,
spl20_9,
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| spl20_9 ),
inference(subsumption_resolution,[],[f530,f365]) ).
fof(f365,plain,
aElementOf0(sdtlpdtrp0(xf,xp),xU),
inference(unit_resulting_resolution,[],[f220,f364]) ).
fof(f364,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xf,X0),xU)
| ~ aElementOf0(X0,xU) ),
inference(forward_demodulation,[],[f363,f317]) ).
fof(f363,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xf,X0),xU)
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(subsumption_resolution,[],[f362,f176]) ).
fof(f176,plain,
aFunction0(xf),
inference(cnf_transformation,[],[f92]) ).
fof(f362,plain,
! [X0] :
( ~ aFunction0(xf)
| ~ aElementOf0(X0,szDzozmdt0(xf))
| aElementOf0(sdtlpdtrp0(xf,X0),xU) ),
inference(superposition,[],[f251,f170]) ).
fof(f251,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(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/sandbox2/benchmark/theBenchmark.p',mImgSort) ).
fof(f530,plain,
( ~ aElementOf0(sdtlpdtrp0(xf,xp),xU)
| spl20_9 ),
inference(unit_resulting_resolution,[],[f220,f339,f468,f321]) ).
fof(f321,plain,
! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X0))
| ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xU) ),
inference(forward_demodulation,[],[f320,f317]) ).
fof(f320,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,xU)
| sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X0))
| ~ sdtlseqdt0(X1,X0) ),
inference(backward_demodulation,[],[f172,f317]) ).
fof(f172,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X0))
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f468,plain,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,sdtlpdtrp0(xf,xp)),sdtlpdtrp0(xf,xp))
| spl20_9 ),
inference(unit_resulting_resolution,[],[f432,f365,f258,f233]) ).
fof(f432,plain,
( ~ aElementOf0(sdtlpdtrp0(xf,xp),xP)
| spl20_9 ),
inference(unit_resulting_resolution,[],[f422,f223]) ).
fof(f422,plain,
( ~ sdtlseqdt0(xp,sdtlpdtrp0(xf,xp))
| spl20_9 ),
inference(unit_resulting_resolution,[],[f340,f367,f339,f301,f209]) ).
fof(f209,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ aElement0(X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ~ sdtlseqdt0(X1,X0)
| ~ aElement0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElement0(X1) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mASymm) ).
fof(f301,plain,
( xp != sdtlpdtrp0(xf,xp)
| spl20_9 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f367,plain,
aElement0(sdtlpdtrp0(xf,xp)),
inference(unit_resulting_resolution,[],[f169,f365,f142]) ).
fof(f169,plain,
aSet0(xU),
inference(cnf_transformation,[],[f92]) ).
fof(f340,plain,
aElement0(xp),
inference(unit_resulting_resolution,[],[f169,f220,f142]) ).
fof(f339,plain,
sdtlseqdt0(sdtlpdtrp0(xf,xp),xp),
inference(unit_resulting_resolution,[],[f256,f219]) ).
fof(f256,plain,
aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU),
inference(cnf_transformation,[],[f74]) ).
fof(f316,plain,
( ~ spl20_6
| spl20_1
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f183,f270,f262,f284]) ).
fof(f270,plain,
( spl20_3
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f183,plain,
( ~ sP1
| aElementOf0(sK10,xT)
| ~ sdtlseqdt0(xp,sK9) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( ( ( ! [X1] :
( sdtlseqdt0(X1,sK9)
| ~ aElementOf0(X1,xT) )
& aUpperBoundOfIn0(sK9,xT,xS)
& aElementOf0(sK9,xS)
& ~ sdtlseqdt0(xp,sK9) )
| ( ~ aUpperBoundOfIn0(xp,xT,xS)
& ~ sdtlseqdt0(sK10,xp)
& aElementOf0(sK10,xT) ) )
& ~ aSupremumOfIn0(xp,xT,xS) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f98,f100,f99]) ).
fof(f99,plain,
( ? [X0] :
( ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aUpperBoundOfIn0(X0,xT,xS)
& aElementOf0(X0,xS)
& ~ sdtlseqdt0(xp,X0) )
=> ( ! [X1] :
( sdtlseqdt0(X1,sK9)
| ~ aElementOf0(X1,xT) )
& aUpperBoundOfIn0(sK9,xT,xS)
& aElementOf0(sK9,xS)
& ~ sdtlseqdt0(xp,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ? [X2] :
( ~ sdtlseqdt0(X2,xp)
& aElementOf0(X2,xT) )
=> ( ~ sdtlseqdt0(sK10,xp)
& aElementOf0(sK10,xT) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ( ( ? [X0] :
( ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aUpperBoundOfIn0(X0,xT,xS)
& aElementOf0(X0,xS)
& ~ sdtlseqdt0(xp,X0) )
| ( ~ aUpperBoundOfIn0(xp,xT,xS)
& ? [X2] :
( ~ sdtlseqdt0(X2,xp)
& aElementOf0(X2,xT) ) ) )
& ~ aSupremumOfIn0(xp,xT,xS) )
| ~ sP1 ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
( ( ( ? [X1] :
( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,xT) )
& aUpperBoundOfIn0(X1,xT,xS)
& aElementOf0(X1,xS)
& ~ sdtlseqdt0(xp,X1) )
| ( ~ aUpperBoundOfIn0(xp,xT,xS)
& ? [X0] :
( ~ sdtlseqdt0(X0,xp)
& aElementOf0(X0,xT) ) ) )
& ~ aSupremumOfIn0(xp,xT,xS) )
| ~ sP1 ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( ( ? [X1] :
( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,xT) )
& aUpperBoundOfIn0(X1,xT,xS)
& aElementOf0(X1,xS)
& ~ sdtlseqdt0(xp,X1) )
| ( ~ aUpperBoundOfIn0(xp,xT,xS)
& ? [X0] :
( ~ sdtlseqdt0(X0,xp)
& aElementOf0(X0,xT) ) ) )
& ~ aSupremumOfIn0(xp,xT,xS) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f315,plain,
( spl20_2
| ~ spl20_3
| ~ spl20_7 ),
inference(avatar_split_clause,[],[f187,f289,f270,f266]) ).
fof(f187,plain,
( ~ sdtlseqdt0(sK10,xp)
| ~ sP1
| aElementOf0(sK9,xS) ),
inference(cnf_transformation,[],[f101]) ).
fof(f312,plain,
( spl20_3
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f195,f309,f270]) ).
fof(f195,plain,
( ~ aFixedPointOf0(xp,xf)
| sP1 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( ( xp != sdtlpdtrp0(xf,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf)) )
& ~ aFixedPointOf0(xp,xf) )
| sP1 ),
inference(definition_folding,[],[f77,f81]) ).
fof(f77,plain,
( ( ( xp != sdtlpdtrp0(xf,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf)) )
& ~ aFixedPointOf0(xp,xf) )
| ( ( ? [X1] :
( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,xT) )
& aUpperBoundOfIn0(X1,xT,xS)
& aElementOf0(X1,xS)
& ~ sdtlseqdt0(xp,X1) )
| ( ~ aUpperBoundOfIn0(xp,xT,xS)
& ? [X0] :
( ~ sdtlseqdt0(X0,xp)
& aElementOf0(X0,xT) ) ) )
& ~ aSupremumOfIn0(xp,xT,xS) ) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
( ( ( xp != sdtlpdtrp0(xf,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf)) )
& ~ aFixedPointOf0(xp,xf) )
| ( ( ( ~ aUpperBoundOfIn0(xp,xT,xS)
& ? [X0] :
( ~ sdtlseqdt0(X0,xp)
& aElementOf0(X0,xT) ) )
| ? [X1] :
( ~ sdtlseqdt0(xp,X1)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,xT) )
& aUpperBoundOfIn0(X1,xT,xS)
& aElementOf0(X1,xS) ) )
& ~ aSupremumOfIn0(xp,xT,xS) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
~ ( ( ( xp = sdtlpdtrp0(xf,xp)
& aElementOf0(xp,szDzozmdt0(xf)) )
| aFixedPointOf0(xp,xf) )
& ( ( ( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) )
| aUpperBoundOfIn0(xp,xT,xS) )
& ! [X1] :
( ( ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aUpperBoundOfIn0(X1,xT,xS)
& aElementOf0(X1,xS) )
=> sdtlseqdt0(xp,X1) ) )
| aSupremumOfIn0(xp,xT,xS) ) ),
inference(rectify,[],[f31]) ).
fof(f31,negated_conjecture,
~ ( ( aSupremumOfIn0(xp,xT,xS)
| ( ( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) )
| aUpperBoundOfIn0(xp,xT,xS) )
& ! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) )
=> sdtlseqdt0(xp,X0) ) ) )
& ( ( xp = sdtlpdtrp0(xf,xp)
& aElementOf0(xp,szDzozmdt0(xf)) )
| aFixedPointOf0(xp,xf) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
( ( aSupremumOfIn0(xp,xT,xS)
| ( ( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) )
| aUpperBoundOfIn0(xp,xT,xS) )
& ! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) )
=> sdtlseqdt0(xp,X0) ) ) )
& ( ( xp = sdtlpdtrp0(xf,xp)
& aElementOf0(xp,szDzozmdt0(xf)) )
| aFixedPointOf0(xp,xf) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f307,plain,
( spl20_1
| ~ spl20_3
| spl20_5 ),
inference(avatar_split_clause,[],[f189,f279,f270,f262]) ).
fof(f189,plain,
( aUpperBoundOfIn0(sK9,xT,xS)
| ~ sP1
| aElementOf0(sK10,xT) ),
inference(cnf_transformation,[],[f101]) ).
fof(f293,plain,
( spl20_5
| ~ spl20_7
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f190,f270,f289,f279]) ).
fof(f190,plain,
( ~ sP1
| ~ sdtlseqdt0(sK10,xp)
| aUpperBoundOfIn0(sK9,xT,xS) ),
inference(cnf_transformation,[],[f101]) ).
fof(f292,plain,
( ~ spl20_6
| ~ spl20_7
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f184,f270,f289,f284]) ).
fof(f184,plain,
( ~ sP1
| ~ sdtlseqdt0(sK10,xp)
| ~ sdtlseqdt0(xp,sK9) ),
inference(cnf_transformation,[],[f101]) ).
fof(f273,plain,
( spl20_1
| spl20_2
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f186,f270,f266,f262]) ).
fof(f186,plain,
( ~ sP1
| aElementOf0(sK9,xS)
| aElementOf0(sK10,xT) ),
inference(cnf_transformation,[],[f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT387+4 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:51:05 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.55 % (31600)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (31606)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (31615)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.56 % (31599)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (31614)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.60/0.56 % (31611)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.60/0.57 % (31616)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.60/0.57 % (31622)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.60/0.57 % (31595)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.60/0.57 % (31595)Instruction limit reached!
% 1.60/0.57 % (31595)------------------------------
% 1.60/0.57 % (31595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57 % (31603)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.60/0.57 % (31595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57 % (31595)Termination reason: Unknown
% 1.60/0.57 % (31595)Termination phase: Preprocessing 3
% 1.60/0.57
% 1.60/0.57 % (31595)Memory used [KB]: 1535
% 1.60/0.57 % (31595)Time elapsed: 0.003 s
% 1.60/0.57 % (31595)Instructions burned: 3 (million)
% 1.60/0.57 % (31595)------------------------------
% 1.60/0.57 % (31595)------------------------------
% 1.60/0.57 % (31608)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.60/0.57 % (31611)Instruction limit reached!
% 1.60/0.57 % (31611)------------------------------
% 1.60/0.57 % (31611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57 % (31611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57 % (31611)Termination reason: Unknown
% 1.60/0.57 % (31611)Termination phase: Preprocessing 1
% 1.60/0.57
% 1.60/0.57 % (31611)Memory used [KB]: 1407
% 1.60/0.57 % (31611)Time elapsed: 0.004 s
% 1.60/0.57 % (31611)Instructions burned: 2 (million)
% 1.60/0.57 % (31611)------------------------------
% 1.60/0.57 % (31611)------------------------------
% 1.60/0.57 % (31619)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.60/0.57 % (31607)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.60/0.57 % (31607)Instruction limit reached!
% 1.60/0.57 % (31607)------------------------------
% 1.60/0.57 % (31607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57 % (31608)Instruction limit reached!
% 1.60/0.57 % (31608)------------------------------
% 1.60/0.57 % (31608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57 % (31607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57 % (31607)Termination reason: Unknown
% 1.60/0.57 % (31608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57 % (31607)Termination phase: Property scanning
% 1.60/0.57
% 1.60/0.57 % (31608)Termination reason: Unknown
% 1.60/0.57 % (31608)Termination phase: Saturation
% 1.60/0.57
% 1.60/0.57 % (31607)Memory used [KB]: 1535
% 1.60/0.57 % (31607)Time elapsed: 0.003 s
% 1.60/0.57 % (31608)Memory used [KB]: 6140
% 1.60/0.57 % (31607)Instructions burned: 3 (million)
% 1.60/0.57 % (31608)Time elapsed: 0.155 s
% 1.60/0.57 % (31607)------------------------------
% 1.60/0.57 % (31607)------------------------------
% 1.60/0.57 % (31608)Instructions burned: 8 (million)
% 1.60/0.57 % (31608)------------------------------
% 1.60/0.57 % (31608)------------------------------
% 1.71/0.58 % (31603)Instruction limit reached!
% 1.71/0.58 % (31603)------------------------------
% 1.71/0.58 % (31603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (31618)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.71/0.58 % (31603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (31603)Termination reason: Unknown
% 1.71/0.58 % (31603)Termination phase: Saturation
% 1.71/0.58 % (31617)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.71/0.58
% 1.71/0.58 % (31603)Memory used [KB]: 6268
% 1.71/0.58 % (31603)Time elapsed: 0.165 s
% 1.71/0.58 % (31603)Instructions burned: 13 (million)
% 1.71/0.58 % (31603)------------------------------
% 1.71/0.58 % (31603)------------------------------
% 1.71/0.58 % (31596)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.71/0.58 % (31593)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.71/0.58 % (31604)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.71/0.59 % (31597)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.71/0.59 % (31604)Instruction limit reached!
% 1.71/0.59 % (31604)------------------------------
% 1.71/0.59 % (31604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (31604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (31604)Termination reason: Unknown
% 1.71/0.59 % (31604)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (31604)Memory used [KB]: 6140
% 1.71/0.59 % (31604)Time elapsed: 0.005 s
% 1.71/0.59 % (31604)Instructions burned: 7 (million)
% 1.71/0.59 % (31604)------------------------------
% 1.71/0.59 % (31604)------------------------------
% 1.71/0.59 % (31612)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.71/0.59 % (31609)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.71/0.59 % (31620)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.71/0.59 % (31610)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.71/0.59 % (31610)Instruction limit reached!
% 1.71/0.59 % (31610)------------------------------
% 1.71/0.59 % (31610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (31610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (31610)Termination reason: Unknown
% 1.71/0.59 % (31610)Termination phase: Naming
% 1.71/0.59
% 1.71/0.59 % (31610)Memory used [KB]: 1535
% 1.71/0.59 % (31610)Time elapsed: 0.002 s
% 1.71/0.59 % (31610)Instructions burned: 3 (million)
% 1.71/0.59 % (31610)------------------------------
% 1.71/0.59 % (31610)------------------------------
% 1.71/0.59 % (31612)Instruction limit reached!
% 1.71/0.59 % (31612)------------------------------
% 1.71/0.59 % (31612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (31612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (31612)Termination reason: Unknown
% 1.71/0.59 % (31612)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (31612)Memory used [KB]: 6268
% 1.71/0.59 % (31612)Time elapsed: 0.175 s
% 1.71/0.59 % (31612)Instructions burned: 11 (million)
% 1.71/0.59 % (31612)------------------------------
% 1.71/0.59 % (31612)------------------------------
% 1.71/0.59 % (31621)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.71/0.59 % (31601)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.71/0.60 % (31613)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.71/0.60 % (31602)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.71/0.60 % (31594)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.71/0.60 % (31605)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.71/0.61 % (31597)Instruction limit reached!
% 1.71/0.61 % (31597)------------------------------
% 1.71/0.61 % (31597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61 % (31598)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.71/0.62 % (31621)Instruction limit reached!
% 1.71/0.62 % (31621)------------------------------
% 1.71/0.62 % (31621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.62 % (31621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.62 % (31621)Termination reason: Unknown
% 1.71/0.62 % (31621)Termination phase: Saturation
% 1.71/0.62
% 1.71/0.62 % (31621)Memory used [KB]: 6140
% 1.71/0.62 % (31621)Time elapsed: 0.204 s
% 1.71/0.62 % (31621)Instructions burned: 9 (million)
% 1.71/0.62 % (31621)------------------------------
% 1.71/0.62 % (31621)------------------------------
% 1.71/0.62 % (31622)Instruction limit reached!
% 1.71/0.62 % (31622)------------------------------
% 1.71/0.62 % (31622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.62 % (31622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.62 % (31622)Termination reason: Unknown
% 1.71/0.62 % (31622)Termination phase: Saturation
% 1.71/0.62
% 1.71/0.62 % (31622)Memory used [KB]: 6396
% 1.71/0.62 % (31622)Time elapsed: 0.181 s
% 1.71/0.62 % (31622)Instructions burned: 25 (million)
% 1.71/0.62 % (31622)------------------------------
% 1.71/0.62 % (31622)------------------------------
% 1.71/0.62 % (31600)Instruction limit reached!
% 1.71/0.62 % (31600)------------------------------
% 1.71/0.62 % (31600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.62 % (31597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.62 % (31597)Termination reason: Unknown
% 1.71/0.62 % (31597)Termination phase: Saturation
% 1.71/0.62
% 1.71/0.62 % (31597)Memory used [KB]: 6268
% 1.71/0.62 % (31597)Time elapsed: 0.171 s
% 1.71/0.62 % (31597)Instructions burned: 13 (million)
% 1.71/0.62 % (31597)------------------------------
% 1.71/0.62 % (31597)------------------------------
% 1.71/0.62 % (31606)First to succeed.
% 2.07/0.63 % (31605)Instruction limit reached!
% 2.07/0.63 % (31605)------------------------------
% 2.07/0.63 % (31605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63 % (31594)Instruction limit reached!
% 2.07/0.63 % (31594)------------------------------
% 2.07/0.63 % (31594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63 % (31594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63 % (31594)Termination reason: Unknown
% 2.07/0.63 % (31594)Termination phase: Saturation
% 2.07/0.63
% 2.07/0.63 % (31594)Memory used [KB]: 6396
% 2.07/0.63 % (31594)Time elapsed: 0.154 s
% 2.07/0.63 % (31594)Instructions burned: 13 (million)
% 2.07/0.63 % (31594)------------------------------
% 2.07/0.63 % (31594)------------------------------
% 2.07/0.63 % (31600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63 % (31600)Termination reason: Unknown
% 2.07/0.63 % (31600)Termination phase: Saturation
% 2.07/0.63
% 2.07/0.63 % (31600)Memory used [KB]: 6780
% 2.07/0.63 % (31600)Time elapsed: 0.196 s
% 2.07/0.63 % (31600)Instructions burned: 39 (million)
% 2.07/0.63 % (31600)------------------------------
% 2.07/0.63 % (31600)------------------------------
% 2.07/0.63 % (31598)Instruction limit reached!
% 2.07/0.63 % (31598)------------------------------
% 2.07/0.63 % (31598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63 % (31598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63 % (31598)Termination reason: Unknown
% 2.07/0.63 % (31598)Termination phase: Saturation
% 2.07/0.63
% 2.07/0.63 % (31598)Memory used [KB]: 1791
% 2.07/0.63 % (31598)Time elapsed: 0.192 s
% 2.07/0.63 % (31598)Instructions burned: 16 (million)
% 2.07/0.63 % (31598)------------------------------
% 2.07/0.63 % (31598)------------------------------
% 2.07/0.63 % (31605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63 % (31605)Termination reason: Unknown
% 2.07/0.63 % (31605)Termination phase: Saturation
% 2.07/0.63
% 2.07/0.63 % (31605)Memory used [KB]: 1918
% 2.07/0.63 % (31605)Time elapsed: 0.201 s
% 2.07/0.63 % (31605)Instructions burned: 17 (million)
% 2.07/0.63 % (31605)------------------------------
% 2.07/0.63 % (31605)------------------------------
% 2.07/0.63 % (31616)Instruction limit reached!
% 2.07/0.63 % (31616)------------------------------
% 2.07/0.63 % (31616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63 % (31616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63 % (31616)Termination reason: Unknown
% 2.07/0.63 % (31616)Termination phase: Saturation
% 2.07/0.63
% 2.07/0.63 % (31616)Memory used [KB]: 2174
% 2.07/0.63 % (31616)Time elapsed: 0.189 s
% 2.07/0.63 % (31616)Instructions burned: 45 (million)
% 2.07/0.63 % (31616)------------------------------
% 2.07/0.63 % (31616)------------------------------
% 2.07/0.64 % (31620)Instruction limit reached!
% 2.07/0.64 % (31620)------------------------------
% 2.07/0.64 % (31620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64 % (31620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64 % (31620)Termination reason: Unknown
% 2.07/0.64 % (31620)Termination phase: Saturation
% 2.07/0.64
% 2.07/0.64 % (31620)Memory used [KB]: 6524
% 2.07/0.64 % (31620)Time elapsed: 0.214 s
% 2.07/0.64 % (31620)Instructions burned: 25 (million)
% 2.07/0.64 % (31620)------------------------------
% 2.07/0.64 % (31620)------------------------------
% 2.07/0.64 % (31599)Instruction limit reached!
% 2.07/0.64 % (31599)------------------------------
% 2.07/0.64 % (31599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64 % (31599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64 % (31599)Termination reason: Unknown
% 2.07/0.64 % (31599)Termination phase: Saturation
% 2.07/0.64
% 2.07/0.64 % (31599)Memory used [KB]: 6652
% 2.07/0.64 % (31599)Time elapsed: 0.190 s
% 2.07/0.64 % (31599)Instructions burned: 39 (million)
% 2.07/0.64 % (31599)------------------------------
% 2.07/0.64 % (31599)------------------------------
% 2.07/0.64 % (31613)Instruction limit reached!
% 2.07/0.64 % (31613)------------------------------
% 2.07/0.64 % (31613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64 % (31613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64 % (31613)Termination reason: Unknown
% 2.07/0.64 % (31613)Termination phase: Saturation
% 2.07/0.64
% 2.07/0.64 % (31613)Memory used [KB]: 6652
% 2.07/0.64 % (31613)Time elapsed: 0.226 s
% 2.07/0.64 % (31613)Instructions burned: 31 (million)
% 2.07/0.64 % (31613)------------------------------
% 2.07/0.64 % (31613)------------------------------
% 2.07/0.65 % (31602)Also succeeded, but the first one will report.
% 2.23/0.65 % (31606)Refutation found. Thanks to Tanya!
% 2.23/0.65 % SZS status Theorem for theBenchmark
% 2.23/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.65 % (31606)------------------------------
% 2.23/0.65 % (31606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (31606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (31606)Termination reason: Refutation
% 2.23/0.65
% 2.23/0.65 % (31606)Memory used [KB]: 6652
% 2.23/0.65 % (31606)Time elapsed: 0.196 s
% 2.23/0.65 % (31606)Instructions burned: 33 (million)
% 2.23/0.65 % (31606)------------------------------
% 2.23/0.65 % (31606)------------------------------
% 2.23/0.65 % (31592)Success in time 0.281 s
%------------------------------------------------------------------------------