TSTP Solution File: LAT386+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT386+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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:35:41 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 114 ( 11 unt; 0 def)
% Number of atoms : 649 ( 31 equ)
% Maximal formula atoms : 37 ( 5 avg)
% Number of connectives : 758 ( 223 ~; 211 |; 266 &)
% ( 4 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 5 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 170 ( 136 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f663,plain,
$false,
inference(avatar_sat_refutation,[],[f280,f282,f284,f285,f565,f662]) ).
fof(f662,plain,
( spl19_4
| ~ spl19_5 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f661,plain,
( $false
| spl19_4
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f660,f652]) ).
fof(f652,plain,
( aElementOf0(sK4(sK10),xP)
| spl19_4
| ~ spl19_5 ),
inference(unit_resulting_resolution,[],[f575,f648,f150]) ).
fof(f150,plain,
! [X0] :
( aElementOf0(sK4(X0),xP)
| ~ aElementOf0(X0,xU)
| sdtlseqdt0(X0,xp) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( aInfimumOfIn0(xp,xP,xU)
& aElementOf0(xp,xU)
& ! [X0] :
( ( ( ( ~ sdtlseqdt0(X0,sK4(X0))
& aElementOf0(sK4(X0),xP) )
| ~ aElementOf0(X0,xU) )
& ~ aLowerBoundOfIn0(X0,xP,xU) )
| sdtlseqdt0(X0,xp) )
& aElementOf0(xp,xU)
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X2] :
( sdtlseqdt0(xp,X2)
| ~ aElementOf0(X2,xP) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f86,f87]) ).
fof(f87,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
=> ( ~ sdtlseqdt0(X0,sK4(X0))
& aElementOf0(sK4(X0),xP) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( aInfimumOfIn0(xp,xP,xU)
& aElementOf0(xp,xU)
& ! [X0] :
( ( ( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
| ~ aElementOf0(X0,xU) )
& ~ aLowerBoundOfIn0(X0,xP,xU) )
| sdtlseqdt0(X0,xp) )
& aElementOf0(xp,xU)
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X2] :
( sdtlseqdt0(xp,X2)
| ~ aElementOf0(X2,xP) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
( aInfimumOfIn0(xp,xP,xU)
& aElementOf0(xp,xU)
& ! [X1] :
( ( ( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,xP) )
| ~ aElementOf0(X1,xU) )
& ~ aLowerBoundOfIn0(X1,xP,xU) )
| sdtlseqdt0(X1,xp) )
& aElementOf0(xp,xU)
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xP) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
( aInfimumOfIn0(xp,xP,xU)
& ! [X1] :
( ( ( aElementOf0(X1,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) ) )
| aLowerBoundOfIn0(X1,xP,xU) )
=> sdtlseqdt0(X1,xp) )
& aElementOf0(xp,xU)
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(xp,X0) )
& aElementOf0(xp,xU) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
( ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(xp,X0) )
& aElementOf0(xp,xU)
& aInfimumOfIn0(xp,xP,xU)
& aElementOf0(xp,xU)
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X0] :
( ( aLowerBoundOfIn0(X0,xP,xU)
| ( ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xU) ) )
=> sdtlseqdt0(X0,xp) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1261) ).
fof(f648,plain,
( ~ sdtlseqdt0(sK10,xp)
| spl19_4
| ~ spl19_5 ),
inference(unit_resulting_resolution,[],[f148,f262,f622]) ).
fof(f622,plain,
( ! [X1] :
( sdtlseqdt0(sK10,sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(sK10,X1)
| ~ aElementOf0(X1,xU) )
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f615,f575]) ).
fof(f615,plain,
( ! [X1] :
( ~ aElementOf0(sK10,xU)
| ~ aElementOf0(X1,xU)
| ~ sdtlseqdt0(sK10,X1)
| sdtlseqdt0(sK10,sdtlpdtrp0(xf,X1)) )
| ~ spl19_5 ),
inference(superposition,[],[f275,f574]) ).
fof(f574,plain,
( sdtlpdtrp0(xf,sK10) = sK10
| ~ spl19_5 ),
inference(unit_resulting_resolution,[],[f567,f164]) ).
fof(f164,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| sdtlpdtrp0(xf,X0) = X0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ! [X0] :
( ( ( aFixedPointOf0(X0,xf)
& sdtlpdtrp0(xf,X0) = X0
& aElementOf0(X0,szDzozmdt0(xf)) )
| ~ aElementOf0(X0,xS) )
& ( ( ~ aFixedPointOf0(X0,xf)
& ( ~ aElementOf0(X0,szDzozmdt0(xf))
| sdtlpdtrp0(xf,X0) != X0 ) )
| aElementOf0(X0,xS) ) )
& xS = cS1142(xf)
& aSet0(xS) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
( xS = cS1142(xf)
& aSet0(xS)
& ! [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) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1144) ).
fof(f567,plain,
( aElementOf0(sK10,xS)
| ~ spl19_5 ),
inference(unit_resulting_resolution,[],[f268,f238]) ).
fof(f238,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( aSet0(xT)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xT) )
& aSubsetOf0(xT,xS) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
( aSet0(xT)
& aSubsetOf0(xT,xS)
& ! [X0] :
( aElementOf0(X0,xT)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1173) ).
fof(f268,plain,
( aElementOf0(sK10,xT)
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl19_5
<=> aElementOf0(sK10,xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).
fof(f275,plain,
! [X2,X3] :
( sdtlseqdt0(sdtlpdtrp0(xf,X3),sdtlpdtrp0(xf,X2))
| ~ aElementOf0(X2,xU)
| ~ sdtlseqdt0(X3,X2)
| ~ aElementOf0(X3,xU) ),
inference(forward_demodulation,[],[f273,f272]) ).
fof(f272,plain,
xU = szDzozmdt0(xf),
inference(backward_demodulation,[],[f232,f235]) ).
fof(f235,plain,
xU = szRzazndt0(xf),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( aFunction0(xf)
& xU = szRzazndt0(xf)
& aCompleteLattice0(xU)
& aSet0(xU)
& szDzozmdt0(xf) = szRzazndt0(xf)
& ! [X0] :
( ( ( ~ aSet0(X0)
| ( ~ aElementOf0(sK17(X0),xU)
& aElementOf0(sK17(X0),X0) ) )
& ~ aSubsetOf0(X0,xU) )
| sP0(X0) )
& isOn0(xf,xU)
& isMonotone0(xf)
& ! [X2,X3] :
( ~ aElementOf0(X2,szDzozmdt0(xf))
| ~ aElementOf0(X3,szDzozmdt0(xf))
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(sdtlpdtrp0(xf,X3),sdtlpdtrp0(xf,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f129,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xU)
& aElementOf0(X1,X0) )
=> ( ~ aElementOf0(sK17(X0),xU)
& aElementOf0(sK17(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( aFunction0(xf)
& xU = szRzazndt0(xf)
& aCompleteLattice0(xU)
& aSet0(xU)
& szDzozmdt0(xf) = szRzazndt0(xf)
& ! [X0] :
( ( ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xU)
& aElementOf0(X1,X0) ) )
& ~ aSubsetOf0(X0,xU) )
| sP0(X0) )
& isOn0(xf,xU)
& isMonotone0(xf)
& ! [X2,X3] :
( ~ aElementOf0(X2,szDzozmdt0(xf))
| ~ aElementOf0(X3,szDzozmdt0(xf))
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(sdtlpdtrp0(xf,X3),sdtlpdtrp0(xf,X2)) ) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
( aFunction0(xf)
& xU = szRzazndt0(xf)
& aCompleteLattice0(xU)
& aSet0(xU)
& szDzozmdt0(xf) = szRzazndt0(xf)
& ! [X0] :
( ( ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xU)
& aElementOf0(X1,X0) ) )
& ~ aSubsetOf0(X0,xU) )
| sP0(X0) )
& isOn0(xf,xU)
& isMonotone0(xf)
& ! [X11,X10] :
( ~ aElementOf0(X11,szDzozmdt0(xf))
| ~ aElementOf0(X10,szDzozmdt0(xf))
| ~ sdtlseqdt0(X10,X11)
| sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11)) ) ),
inference(definition_folding,[],[f50,f75]) ).
fof(f75,plain,
! [X0] :
( ? [X2] :
( aLowerBoundOfIn0(X2,X0,xU)
& ? [X4] :
( aUpperBoundOfIn0(X4,X0,xU)
& ! [X7] :
( ~ aElementOf0(X7,X0)
| sdtlseqdt0(X7,X4) )
& aElementOf0(X4,xU)
& ! [X5] :
( ( ~ aUpperBoundOfIn0(X5,X0,xU)
& ( ~ aElementOf0(X5,xU)
| ? [X6] :
( ~ sdtlseqdt0(X6,X5)
& aElementOf0(X6,X0) ) ) )
| sdtlseqdt0(X4,X5) )
& aElementOf0(X4,xU)
& aSupremumOfIn0(X4,X0,xU) )
& aInfimumOfIn0(X2,X0,xU)
& aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ! [X3] :
( sdtlseqdt0(X2,X3)
| ~ aElementOf0(X3,X0) )
& ! [X8] :
( sdtlseqdt0(X8,X2)
| ( ( ~ aElementOf0(X8,xU)
| ? [X9] :
( ~ sdtlseqdt0(X8,X9)
& aElementOf0(X9,X0) ) )
& ~ aLowerBoundOfIn0(X8,X0,xU) ) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f50,plain,
( aFunction0(xf)
& xU = szRzazndt0(xf)
& aCompleteLattice0(xU)
& aSet0(xU)
& szDzozmdt0(xf) = szRzazndt0(xf)
& ! [X0] :
( ( ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xU)
& aElementOf0(X1,X0) ) )
& ~ aSubsetOf0(X0,xU) )
| ? [X2] :
( aLowerBoundOfIn0(X2,X0,xU)
& ? [X4] :
( aUpperBoundOfIn0(X4,X0,xU)
& ! [X7] :
( ~ aElementOf0(X7,X0)
| sdtlseqdt0(X7,X4) )
& aElementOf0(X4,xU)
& ! [X5] :
( ( ~ aUpperBoundOfIn0(X5,X0,xU)
& ( ~ aElementOf0(X5,xU)
| ? [X6] :
( ~ sdtlseqdt0(X6,X5)
& aElementOf0(X6,X0) ) ) )
| sdtlseqdt0(X4,X5) )
& aElementOf0(X4,xU)
& aSupremumOfIn0(X4,X0,xU) )
& aInfimumOfIn0(X2,X0,xU)
& aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ! [X3] :
( sdtlseqdt0(X2,X3)
| ~ aElementOf0(X3,X0) )
& ! [X8] :
( sdtlseqdt0(X8,X2)
| ( ( ~ aElementOf0(X8,xU)
| ? [X9] :
( ~ sdtlseqdt0(X8,X9)
& aElementOf0(X9,X0) ) )
& ~ aLowerBoundOfIn0(X8,X0,xU) ) ) ) )
& isOn0(xf,xU)
& isMonotone0(xf)
& ! [X11,X10] :
( ~ aElementOf0(X11,szDzozmdt0(xf))
| ~ aElementOf0(X10,szDzozmdt0(xf))
| ~ sdtlseqdt0(X10,X11)
| sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11)) ) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
( isMonotone0(xf)
& isOn0(xf,xU)
& szDzozmdt0(xf) = szRzazndt0(xf)
& ! [X11,X10] :
( sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11))
| ~ sdtlseqdt0(X10,X11)
| ~ aElementOf0(X11,szDzozmdt0(xf))
| ~ aElementOf0(X10,szDzozmdt0(xf)) )
& xU = szRzazndt0(xf)
& aCompleteLattice0(xU)
& ! [X0] :
( ( ( ~ aSet0(X0)
| ? [X1] :
( ~ aElementOf0(X1,xU)
& aElementOf0(X1,X0) ) )
& ~ aSubsetOf0(X0,xU) )
| ? [X2] :
( aLowerBoundOfIn0(X2,X0,xU)
& ? [X4] :
( aUpperBoundOfIn0(X4,X0,xU)
& ! [X7] :
( ~ aElementOf0(X7,X0)
| sdtlseqdt0(X7,X4) )
& aElementOf0(X4,xU)
& ! [X5] :
( ( ~ aUpperBoundOfIn0(X5,X0,xU)
& ( ~ aElementOf0(X5,xU)
| ? [X6] :
( ~ sdtlseqdt0(X6,X5)
& aElementOf0(X6,X0) ) ) )
| sdtlseqdt0(X4,X5) )
& aElementOf0(X4,xU)
& aSupremumOfIn0(X4,X0,xU) )
& aInfimumOfIn0(X2,X0,xU)
& aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ! [X3] :
( sdtlseqdt0(X2,X3)
| ~ aElementOf0(X3,X0) )
& ! [X8] :
( sdtlseqdt0(X8,X2)
| ( ( ~ aElementOf0(X8,xU)
| ? [X9] :
( ~ sdtlseqdt0(X8,X9)
& aElementOf0(X9,X0) ) )
& ~ aLowerBoundOfIn0(X8,X0,xU) ) ) ) )
& aSet0(xU)
& aFunction0(xf) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
( isMonotone0(xf)
& isOn0(xf,xU)
& szDzozmdt0(xf) = szRzazndt0(xf)
& ! [X11,X10] :
( ( aElementOf0(X11,szDzozmdt0(xf))
& aElementOf0(X10,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X10,X11)
=> sdtlseqdt0(sdtlpdtrp0(xf,X10),sdtlpdtrp0(xf,X11)) ) )
& xU = szRzazndt0(xf)
& aCompleteLattice0(xU)
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xU) ) )
| aSubsetOf0(X0,xU) )
=> ? [X2] :
( aElementOf0(X2,xU)
& aInfimumOfIn0(X2,X0,xU)
& ? [X4] :
( aElementOf0(X4,xU)
& aElementOf0(X4,xU)
& ! [X5] :
( ( ( ! [X6] :
( aElementOf0(X6,X0)
=> sdtlseqdt0(X6,X5) )
& aElementOf0(X5,xU) )
| aUpperBoundOfIn0(X5,X0,xU) )
=> sdtlseqdt0(X4,X5) )
& aSupremumOfIn0(X4,X0,xU)
& aUpperBoundOfIn0(X4,X0,xU)
& ! [X7] :
( aElementOf0(X7,X0)
=> sdtlseqdt0(X7,X4) ) )
& aElementOf0(X2,xU)
& aLowerBoundOfIn0(X2,X0,xU)
& ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X2,X3) )
& ! [X8] :
( ( ( aElementOf0(X8,xU)
& ! [X9] :
( aElementOf0(X9,X0)
=> sdtlseqdt0(X8,X9) ) )
| aLowerBoundOfIn0(X8,X0,xU) )
=> sdtlseqdt0(X8,X2) ) ) )
& aSet0(xU)
& aFunction0(xf) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
( ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xU) ) )
| aSubsetOf0(X0,xU) )
=> ? [X1] :
( aElementOf0(X1,xU)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aLowerBoundOfIn0(X1,X0,xU)
& aInfimumOfIn0(X1,X0,xU)
& ? [X2] :
( ! [X3] :
( ( aUpperBoundOfIn0(X3,X0,xU)
| ( ! [X4] :
( aElementOf0(X4,X0)
=> sdtlseqdt0(X4,X3) )
& aElementOf0(X3,xU) ) )
=> sdtlseqdt0(X2,X3) )
& aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X3,X2) )
& aSupremumOfIn0(X2,X0,xU)
& aElementOf0(X2,xU)
& aUpperBoundOfIn0(X2,X0,xU) )
& aElementOf0(X1,xU)
& ! [X2] :
( ( ( aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X2,X3) ) )
| aLowerBoundOfIn0(X2,X0,xU) )
=> sdtlseqdt0(X2,X1) ) ) )
& aCompleteLattice0(xU)
& szDzozmdt0(xf) = szRzazndt0(xf)
& aFunction0(xf)
& xU = szRzazndt0(xf)
& isMonotone0(xf)
& aSet0(xU)
& ! [X0,X1] :
( ( aElementOf0(X1,szDzozmdt0(xf))
& aElementOf0(X0,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X0,X1)
=> sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1)) ) )
& isOn0(xf,xU) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1123) ).
fof(f232,plain,
szDzozmdt0(xf) = szRzazndt0(xf),
inference(cnf_transformation,[],[f131]) ).
fof(f273,plain,
! [X2,X3] :
( ~ sdtlseqdt0(X3,X2)
| ~ aElementOf0(X3,xU)
| ~ aElementOf0(X2,szDzozmdt0(xf))
| sdtlseqdt0(sdtlpdtrp0(xf,X3),sdtlpdtrp0(xf,X2)) ),
inference(backward_demodulation,[],[f226,f272]) ).
fof(f226,plain,
! [X2,X3] :
( ~ aElementOf0(X2,szDzozmdt0(xf))
| sdtlseqdt0(sdtlpdtrp0(xf,X3),sdtlpdtrp0(xf,X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aElementOf0(X3,szDzozmdt0(xf)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f262,plain,
( ~ sdtlseqdt0(sK10,sdtlpdtrp0(xf,xp))
| spl19_4 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl19_4
<=> sdtlseqdt0(sK10,sdtlpdtrp0(xf,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
fof(f148,plain,
aElementOf0(xp,xU),
inference(cnf_transformation,[],[f88]) ).
fof(f575,plain,
( aElementOf0(sK10,xU)
| ~ spl19_5 ),
inference(unit_resulting_resolution,[],[f567,f283]) ).
fof(f283,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,xU) ),
inference(forward_demodulation,[],[f163,f272]) ).
fof(f163,plain,
! [X0] :
( aElementOf0(X0,szDzozmdt0(xf))
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f52]) ).
fof(f660,plain,
( ~ aElementOf0(sK4(sK10),xP)
| spl19_4
| ~ spl19_5 ),
inference(unit_resulting_resolution,[],[f268,f651,f173]) ).
fof(f173,plain,
! [X2,X0] :
( ~ aElementOf0(X2,xT)
| sdtlseqdt0(X2,X0)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( xP = cS1241(xU,xf,xT)
& aSet0(xP)
& ! [X0] :
( ( ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ( ~ aUpperBoundOfIn0(X0,xT,xU)
& aElementOf0(sK7(X0),xT)
& ~ sdtlseqdt0(sK7(X0),X0) )
| aElementOf0(X0,xP) )
& ( ( sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aUpperBoundOfIn0(X0,xT,xU)
& ! [X2] :
( ~ aElementOf0(X2,xT)
| sdtlseqdt0(X2,X0) )
& aElementOf0(X0,xU) )
| ~ aElementOf0(X0,xP) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f99,f100]) ).
fof(f100,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,xT)
& ~ sdtlseqdt0(X1,X0) )
=> ( aElementOf0(sK7(X0),xT)
& ~ sdtlseqdt0(sK7(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( xP = cS1241(xU,xf,xT)
& aSet0(xP)
& ! [X0] :
( ( ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ( ~ aUpperBoundOfIn0(X0,xT,xU)
& ? [X1] :
( aElementOf0(X1,xT)
& ~ sdtlseqdt0(X1,X0) ) )
| aElementOf0(X0,xP) )
& ( ( sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aUpperBoundOfIn0(X0,xT,xU)
& ! [X2] :
( ~ aElementOf0(X2,xT)
| sdtlseqdt0(X2,X0) )
& aElementOf0(X0,xU) )
| ~ aElementOf0(X0,xP) ) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
( xP = cS1241(xU,xf,xT)
& aSet0(xP)
& ! [X0] :
( ( ~ aElementOf0(X0,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ( ~ aUpperBoundOfIn0(X0,xT,xU)
& ? [X2] :
( aElementOf0(X2,xT)
& ~ sdtlseqdt0(X2,X0) ) )
| aElementOf0(X0,xP) )
& ( ( sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aUpperBoundOfIn0(X0,xT,xU)
& ! [X1] :
( ~ aElementOf0(X1,xT)
| sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xU) )
| ~ aElementOf0(X0,xP) ) ) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
( xP = cS1241(xU,xf,xT)
& aSet0(xP)
& ! [X0] :
( ( ( sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aUpperBoundOfIn0(X0,xT,xU)
& ! [X1] :
( ~ aElementOf0(X1,xT)
| sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xU) )
| ~ aElementOf0(X0,xP) )
& ( aElementOf0(X0,xP)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU)
| ( ~ aUpperBoundOfIn0(X0,xT,xU)
& ? [X2] :
( aElementOf0(X2,xT)
& ~ sdtlseqdt0(X2,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
( xP = cS1241(xU,xf,xT)
& aSet0(xP)
& ! [X0] :
( ( aElementOf0(X0,xP)
=> ( aElementOf0(X0,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aUpperBoundOfIn0(X0,xT,xU)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) ) )
& ( ( sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU)
& ( aUpperBoundOfIn0(X0,xT,xU)
| ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X0) ) ) )
=> aElementOf0(X0,xP) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
( aSet0(xP)
& ! [X0] :
( ( aElementOf0(X0,xP)
=> ( aElementOf0(X0,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aUpperBoundOfIn0(X0,xT,xU)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) ) )
& ( ( ( 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(f651,plain,
( ~ sdtlseqdt0(sK10,sK4(sK10))
| spl19_4
| ~ spl19_5 ),
inference(unit_resulting_resolution,[],[f575,f648,f151]) ).
fof(f151,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sK4(X0))
| sdtlseqdt0(X0,xp)
| ~ aElementOf0(X0,xU) ),
inference(cnf_transformation,[],[f88]) ).
fof(f565,plain,
( ~ spl19_1
| spl19_6 ),
inference(avatar_contradiction_clause,[],[f564]) ).
fof(f564,plain,
( $false
| ~ spl19_1
| spl19_6 ),
inference(subsumption_resolution,[],[f545,f480]) ).
fof(f480,plain,
( sdtlseqdt0(xp,sK4(sdtlpdtrp0(xf,xp)))
| ~ spl19_1
| spl19_6 ),
inference(unit_resulting_resolution,[],[f471,f146]) ).
fof(f146,plain,
! [X2] :
( ~ aElementOf0(X2,xP)
| sdtlseqdt0(xp,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f471,plain,
( aElementOf0(sK4(sdtlpdtrp0(xf,xp)),xP)
| ~ spl19_1
| spl19_6 ),
inference(unit_resulting_resolution,[],[f330,f463,f150]) ).
fof(f463,plain,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),xp)
| ~ spl19_1
| spl19_6 ),
inference(unit_resulting_resolution,[],[f402,f304,f335,f279,f401,f204]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ sdtlseqdt0(X0,X2)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ sdtlseqdt0(X0,X2)
| sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X0,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtlseqdt0(X1,X2) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X2,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X2,X1] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTrans) ).
fof(f401,plain,
( sdtlseqdt0(xp,sK11)
| ~ spl19_1 ),
inference(unit_resulting_resolution,[],[f249,f146]) ).
fof(f249,plain,
( aElementOf0(sK11,xP)
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl19_1
<=> aElementOf0(sK11,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
fof(f279,plain,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),sK11)
| spl19_6 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl19_6
<=> sdtlseqdt0(sdtlpdtrp0(xf,xp),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).
fof(f335,plain,
aElement0(sdtlpdtrp0(xf,xp)),
inference(unit_resulting_resolution,[],[f233,f330,f205]) ).
fof(f205,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
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(f233,plain,
aSet0(xU),
inference(cnf_transformation,[],[f131]) ).
fof(f304,plain,
aElement0(xp),
inference(unit_resulting_resolution,[],[f233,f148,f205]) ).
fof(f402,plain,
( aElement0(sK11)
| ~ spl19_1 ),
inference(unit_resulting_resolution,[],[f179,f249,f205]) ).
fof(f179,plain,
aSet0(xP),
inference(cnf_transformation,[],[f101]) ).
fof(f330,plain,
aElementOf0(sdtlpdtrp0(xf,xp),xU),
inference(unit_resulting_resolution,[],[f148,f328]) ).
fof(f328,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xf,X0),xU)
| ~ aElementOf0(X0,xU) ),
inference(forward_demodulation,[],[f327,f272]) ).
fof(f327,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xf))
| aElementOf0(sdtlpdtrp0(xf,X0),xU) ),
inference(subsumption_resolution,[],[f324,f236]) ).
fof(f236,plain,
aFunction0(xf),
inference(cnf_transformation,[],[f131]) ).
fof(f324,plain,
! [X0] :
( ~ aFunction0(xf)
| ~ aElementOf0(X0,szDzozmdt0(xf))
| aElementOf0(sdtlpdtrp0(xf,X0),xU) ),
inference(superposition,[],[f166,f235]) ).
fof(f166,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,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(f545,plain,
( ~ sdtlseqdt0(xp,sK4(sdtlpdtrp0(xf,xp)))
| ~ spl19_1
| spl19_6 ),
inference(unit_resulting_resolution,[],[f148,f479,f505,f275]) ).
fof(f505,plain,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),sdtlpdtrp0(xf,sK4(sdtlpdtrp0(xf,xp))))
| ~ spl19_1
| spl19_6 ),
inference(unit_resulting_resolution,[],[f335,f481,f470,f492,f477,f204]) ).
fof(f477,plain,
( sdtlseqdt0(sdtlpdtrp0(xf,sK4(sdtlpdtrp0(xf,xp))),sK4(sdtlpdtrp0(xf,xp)))
| ~ spl19_1
| spl19_6 ),
inference(unit_resulting_resolution,[],[f471,f175]) ).
fof(f175,plain,
! [X0] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f101]) ).
fof(f492,plain,
( aElement0(sdtlpdtrp0(xf,sK4(sdtlpdtrp0(xf,xp))))
| ~ spl19_1
| spl19_6 ),
inference(unit_resulting_resolution,[],[f233,f483,f205]) ).
fof(f483,plain,
( aElementOf0(sdtlpdtrp0(xf,sK4(sdtlpdtrp0(xf,xp))),xU)
| ~ spl19_1
| spl19_6 ),
inference(unit_resulting_resolution,[],[f479,f328]) ).
fof(f470,plain,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),sK4(sdtlpdtrp0(xf,xp)))
| ~ spl19_1
| spl19_6 ),
inference(unit_resulting_resolution,[],[f330,f463,f151]) ).
fof(f481,plain,
( aElement0(sK4(sdtlpdtrp0(xf,xp)))
| ~ spl19_1
| spl19_6 ),
inference(unit_resulting_resolution,[],[f179,f471,f205]) ).
fof(f479,plain,
( aElementOf0(sK4(sdtlpdtrp0(xf,xp)),xU)
| ~ spl19_1
| spl19_6 ),
inference(unit_resulting_resolution,[],[f471,f172]) ).
fof(f172,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xU) ),
inference(cnf_transformation,[],[f101]) ).
fof(f285,plain,
( spl19_1
| spl19_5 ),
inference(avatar_split_clause,[],[f188,f266,f247]) ).
fof(f188,plain,
( aElementOf0(sK10,xT)
| aElementOf0(sK11,xP) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ~ sdtlseqdt0(sK10,sdtlpdtrp0(xf,xp))
& aElementOf0(sK10,xT) )
| ( aElementOf0(sK11,xP)
& ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),sK11)
& ~ aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f106,f108,f107]) ).
fof(f107,plain,
( ? [X0] :
( ~ sdtlseqdt0(X0,sdtlpdtrp0(xf,xp))
& aElementOf0(X0,xT) )
=> ( ~ sdtlseqdt0(sK10,sdtlpdtrp0(xf,xp))
& aElementOf0(sK10,xT) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
( ? [X1] :
( aElementOf0(X1,xP)
& ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),X1) )
=> ( aElementOf0(sK11,xP)
& ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ( ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ? [X0] :
( ~ sdtlseqdt0(X0,sdtlpdtrp0(xf,xp))
& aElementOf0(X0,xT) ) )
| ( ? [X1] :
( aElementOf0(X1,xP)
& ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),X1) )
& ~ aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) ) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
( ( ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ? [X1] :
( ~ sdtlseqdt0(X1,sdtlpdtrp0(xf,xp))
& aElementOf0(X1,xT) ) )
| ( ? [X0] :
( aElementOf0(X0,xP)
& ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),X0) )
& ~ aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
~ ( ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,sdtlpdtrp0(xf,xp)) )
| aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) )
& ( ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X0) )
| aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) ) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X0) )
| aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) )
& ( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,sdtlpdtrp0(xf,xp)) )
| aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
( ( ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X0) )
| aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) )
& ( ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,sdtlpdtrp0(xf,xp)) )
| aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f284,plain,
( ~ spl19_4
| ~ spl19_6 ),
inference(avatar_split_clause,[],[f190,f277,f260]) ).
fof(f190,plain,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),sK11)
| ~ sdtlseqdt0(sK10,sdtlpdtrp0(xf,xp)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f282,plain,
( ~ spl19_4
| spl19_1 ),
inference(avatar_split_clause,[],[f191,f247,f260]) ).
fof(f191,plain,
( aElementOf0(sK11,xP)
| ~ sdtlseqdt0(sK10,sdtlpdtrp0(xf,xp)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
( ~ spl19_6
| spl19_5 ),
inference(avatar_split_clause,[],[f187,f266,f277]) ).
fof(f187,plain,
( aElementOf0(sK10,xT)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),sK11) ),
inference(cnf_transformation,[],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT386+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 01:30:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43 % (23549)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)
% 0.19/0.45 % (23540)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.47 % (23545)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)
% 0.19/0.48 % (23568)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)
% 0.19/0.49 % (23553)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)
% 0.19/0.49 % (23567)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)
% 0.19/0.49 % (23546)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)
% 0.19/0.50 % (23554)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)
% 0.19/0.50 % (23545)Instruction limit reached!
% 0.19/0.50 % (23545)------------------------------
% 0.19/0.50 % (23545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (23549)Instruction limit reached!
% 0.19/0.50 % (23549)------------------------------
% 0.19/0.50 % (23549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (23543)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)
% 0.19/0.50 % (23561)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)
% 0.19/0.51 % (23565)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)
% 0.19/0.51 % (23556)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)
% 0.19/0.51 % (23545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23545)Termination reason: Unknown
% 0.19/0.51 % (23545)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (23545)Memory used [KB]: 6268
% 0.19/0.51 % (23545)Time elapsed: 0.115 s
% 0.19/0.51 % (23545)Instructions burned: 13 (million)
% 0.19/0.51 % (23545)------------------------------
% 0.19/0.51 % (23545)------------------------------
% 0.19/0.51 % (23566)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)
% 0.19/0.51 % (23560)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)
% 0.19/0.51 % (23549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23549)Termination reason: Unknown
% 0.19/0.51 % (23549)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (23549)Memory used [KB]: 6780
% 0.19/0.51 % (23549)Time elapsed: 0.130 s
% 0.19/0.51 % (23549)Instructions burned: 49 (million)
% 0.19/0.51 % (23549)------------------------------
% 0.19/0.51 % (23549)------------------------------
% 0.19/0.52 % (23546)Instruction limit reached!
% 0.19/0.52 % (23546)------------------------------
% 0.19/0.52 % (23546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (23546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (23546)Termination reason: Unknown
% 0.19/0.52 % (23546)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (23546)Memory used [KB]: 1791
% 0.19/0.52 % (23546)Time elapsed: 0.116 s
% 0.19/0.52 % (23546)Instructions burned: 16 (million)
% 0.19/0.52 % (23546)------------------------------
% 0.19/0.52 % (23546)------------------------------
% 0.19/0.52 % (23552)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)
% 0.19/0.52 % (23547)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)
% 0.19/0.52 % (23553)Instruction limit reached!
% 0.19/0.52 % (23553)------------------------------
% 0.19/0.52 % (23553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (23553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (23553)Termination reason: Unknown
% 0.19/0.52 % (23553)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (23553)Memory used [KB]: 1791
% 0.19/0.52 % (23553)Time elapsed: 0.137 s
% 0.19/0.52 % (23553)Instructions burned: 16 (million)
% 0.19/0.52 % (23553)------------------------------
% 0.19/0.52 % (23553)------------------------------
% 0.19/0.52 % (23558)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (23562)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)
% 0.19/0.52 % (23548)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)
% 0.19/0.52 % (23573)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)
% 0.19/0.52 % (23541)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)
% 0.19/0.52 % (23542)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)
% 0.19/0.53 % (23542)Instruction limit reached!
% 0.19/0.53 % (23542)------------------------------
% 0.19/0.53 % (23542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (23542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (23542)Termination reason: Unknown
% 0.19/0.53 % (23542)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (23542)Memory used [KB]: 1535
% 0.19/0.53 % (23542)Time elapsed: 0.003 s
% 0.19/0.53 % (23542)Instructions burned: 3 (million)
% 0.19/0.53 % (23542)------------------------------
% 0.19/0.53 % (23542)------------------------------
% 0.19/0.53 % (23555)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)
% 0.19/0.53 % (23541)Instruction limit reached!
% 0.19/0.53 % (23541)------------------------------
% 0.19/0.53 % (23541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (23551)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)
% 0.19/0.53 % (23571)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)
% 0.19/0.53 % (23557)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)
% 0.19/0.53 % (23556)Instruction limit reached!
% 0.19/0.53 % (23556)------------------------------
% 0.19/0.53 % (23556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (23556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (23556)Termination reason: Unknown
% 0.19/0.53 % (23556)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (23556)Memory used [KB]: 6140
% 0.19/0.53 % (23556)Time elapsed: 0.006 s
% 0.19/0.53 % (23556)Instructions burned: 8 (million)
% 0.19/0.53 % (23556)------------------------------
% 0.19/0.53 % (23556)------------------------------
% 0.19/0.53 % (23570)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)
% 0.19/0.53 % (23571)Instruction limit reached!
% 0.19/0.53 % (23571)------------------------------
% 0.19/0.53 % (23571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (23571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (23571)Termination reason: Unknown
% 0.19/0.53 % (23571)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (23571)Memory used [KB]: 6268
% 0.19/0.53 % (23571)Time elapsed: 0.143 s
% 0.19/0.53 % (23571)Instructions burned: 9 (million)
% 0.19/0.53 % (23571)------------------------------
% 0.19/0.53 % (23571)------------------------------
% 0.19/0.54 % (23563)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)
% 0.19/0.54 % (23550)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)
% 0.19/0.54 % (23560)Instruction limit reached!
% 0.19/0.54 % (23560)------------------------------
% 0.19/0.54 % (23560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (23560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23560)Termination reason: Unknown
% 0.19/0.54 % (23560)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (23560)Memory used [KB]: 6268
% 0.19/0.54 % (23560)Time elapsed: 0.141 s
% 0.19/0.54 % (23560)Instructions burned: 11 (million)
% 0.19/0.54 % (23560)------------------------------
% 0.19/0.54 % (23560)------------------------------
% 0.19/0.54 % (23559)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)
% 0.19/0.54 % (23559)Instruction limit reached!
% 0.19/0.54 % (23559)------------------------------
% 0.19/0.54 % (23559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (23559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23559)Termination reason: Unknown
% 0.19/0.54 % (23559)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (23559)Memory used [KB]: 1535
% 0.19/0.54 % (23559)Time elapsed: 0.004 s
% 0.19/0.54 % (23559)Instructions burned: 3 (million)
% 0.19/0.54 % (23559)------------------------------
% 0.19/0.54 % (23559)------------------------------
% 0.19/0.54 % (23552)Instruction limit reached!
% 0.19/0.54 % (23552)------------------------------
% 0.19/0.54 % (23552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (23552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23552)Termination reason: Unknown
% 0.19/0.54 % (23552)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (23552)Memory used [KB]: 6140
% 0.19/0.54 % (23552)Time elapsed: 0.005 s
% 0.19/0.54 % (23552)Instructions burned: 8 (million)
% 0.19/0.54 % (23552)------------------------------
% 0.19/0.54 % (23552)------------------------------
% 0.19/0.54 % (23558)Instruction limit reached!
% 0.19/0.54 % (23558)------------------------------
% 0.19/0.54 % (23558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (23558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23558)Termination reason: Unknown
% 0.19/0.54 % (23558)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (23558)Memory used [KB]: 1535
% 0.19/0.54 % (23558)Time elapsed: 0.003 s
% 0.19/0.54 % (23558)Instructions burned: 4 (million)
% 0.19/0.54 % (23558)------------------------------
% 0.19/0.54 % (23558)------------------------------
% 0.19/0.54 % (23541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23541)Termination reason: Unknown
% 0.19/0.54 % (23541)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (23541)Memory used [KB]: 6268
% 0.19/0.54 % (23541)Time elapsed: 0.137 s
% 0.19/0.54 % (23541)Instructions burned: 13 (million)
% 0.19/0.54 % (23541)------------------------------
% 0.19/0.54 % (23541)------------------------------
% 0.19/0.54 % (23551)Instruction limit reached!
% 0.19/0.54 % (23551)------------------------------
% 0.19/0.54 % (23551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (23551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23551)Termination reason: Unknown
% 0.19/0.54 % (23551)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (23551)Memory used [KB]: 6268
% 0.19/0.54 % (23551)Time elapsed: 0.155 s
% 0.19/0.54 % (23551)Instructions burned: 13 (million)
% 0.19/0.54 % (23551)------------------------------
% 0.19/0.54 % (23551)------------------------------
% 0.19/0.55 % (23561)Instruction limit reached!
% 0.19/0.55 % (23561)------------------------------
% 0.19/0.55 % (23561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (23561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (23561)Termination reason: Unknown
% 0.19/0.55 % (23561)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (23561)Memory used [KB]: 6524
% 0.19/0.55 % (23561)Time elapsed: 0.147 s
% 0.19/0.55 % (23561)Instructions burned: 30 (million)
% 0.19/0.55 % (23561)------------------------------
% 0.19/0.55 % (23561)------------------------------
% 0.19/0.55 % (23555)Instruction limit reached!
% 0.19/0.55 % (23555)------------------------------
% 0.19/0.55 % (23555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (23555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (23555)Termination reason: Unknown
% 0.19/0.55 % (23555)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (23555)Memory used [KB]: 1535
% 0.19/0.55 % (23555)Time elapsed: 0.004 s
% 0.19/0.55 % (23555)Instructions burned: 3 (million)
% 0.19/0.55 % (23555)------------------------------
% 0.19/0.55 % (23555)------------------------------
% 0.19/0.56 % (23554)First to succeed.
% 0.19/0.57 % (23573)Instruction limit reached!
% 0.19/0.57 % (23573)------------------------------
% 0.19/0.57 % (23573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (23573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (23573)Termination reason: Unknown
% 0.19/0.58 % (23573)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (23573)Memory used [KB]: 6396
% 0.19/0.58 % (23573)Time elapsed: 0.182 s
% 0.19/0.58 % (23573)Instructions burned: 25 (million)
% 0.19/0.58 % (23573)------------------------------
% 0.19/0.58 % (23573)------------------------------
% 0.19/0.58 % (23565)Instruction limit reached!
% 0.19/0.58 % (23565)------------------------------
% 0.19/0.58 % (23565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (23550)Also succeeded, but the first one will report.
% 0.19/0.58 % (23554)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Theorem for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (23554)------------------------------
% 0.19/0.58 % (23554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (23554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (23554)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (23554)Memory used [KB]: 6652
% 0.19/0.58 % (23554)Time elapsed: 0.161 s
% 0.19/0.58 % (23554)Instructions burned: 33 (million)
% 0.19/0.58 % (23554)------------------------------
% 0.19/0.58 % (23554)------------------------------
% 0.19/0.58 % (23533)Success in time 0.223 s
%------------------------------------------------------------------------------