TSTP Solution File: LAT387+4 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT387+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:27:21 EDT 2024
% Result : Theorem 3.25s 0.82s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 35
% Syntax : Number of formulae : 193 ( 28 unt; 0 def)
% Number of atoms : 890 ( 51 equ)
% Maximal formula atoms : 37 ( 4 avg)
% Number of connectives : 1002 ( 305 ~; 312 |; 314 &)
% ( 5 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 5 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 274 ( 233 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20259,plain,
$false,
inference(subsumption_resolution,[],[f20250,f20240]) ).
fof(f20240,plain,
aElementOf0(sK33,xT),
inference(unit_resulting_resolution,[],[f20237,f227]) ).
fof(f227,plain,
( ~ sP0
| aElementOf0(sK33,xT) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( ~ sdtlseqdt0(sK33,xp)
& aElementOf0(sK33,xT) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f129,f130]) ).
fof(f130,plain,
( ? [X0] :
( ~ sdtlseqdt0(X0,xp)
& aElementOf0(X0,xT) )
=> ( ~ sdtlseqdt0(sK33,xp)
& aElementOf0(sK33,xT) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X0] :
( ~ sdtlseqdt0(X0,xp)
& aElementOf0(X0,xT) )
| ~ sP0 ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
( ? [X2] :
( ~ sdtlseqdt0(X2,xp)
& aElementOf0(X2,xT) )
| ~ sP0 ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
( ? [X2] :
( ~ sdtlseqdt0(X2,xp)
& aElementOf0(X2,xT) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f20237,plain,
sP0,
inference(subsumption_resolution,[],[f20230,f20184]) ).
fof(f20184,plain,
( sP6(sK32)
| sP0 ),
inference(subsumption_resolution,[],[f20175,f9368]) ).
fof(f9368,plain,
( sP1
| sP0 ),
inference(resolution,[],[f9296,f221]) ).
fof(f221,plain,
( ~ sP2
| sP0
| sP1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( sP1
| ( ~ aUpperBoundOfIn0(xp,xT,xS)
& sP0 )
| ~ sP2 ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
( sP1
| ( ~ aUpperBoundOfIn0(xp,xT,xS)
& sP0 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f9296,plain,
sP2,
inference(unit_resulting_resolution,[],[f9281,f596]) ).
fof(f596,plain,
( xp != sdtlpdtrp0(xf,xp)
| sP2 ),
inference(resolution,[],[f595,f229]) ).
fof(f229,plain,
( sP3
| sP2 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( ~ aSupremumOfIn0(xp,xT,xS)
& sP2 )
| sP3 ),
inference(definition_folding,[],[f43,f80,f79,f78,f77]) ).
fof(f78,plain,
( ? [X0] :
( ~ sdtlseqdt0(xp,X0)
& aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aElementOf0(X0,xS) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f80,plain,
( ( ~ aFixedPointOf0(xp,xf)
& ( xp != sdtlpdtrp0(xf,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf)) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f43,plain,
( ( ~ aSupremumOfIn0(xp,xT,xS)
& ( ? [X0] :
( ~ sdtlseqdt0(xp,X0)
& aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aElementOf0(X0,xS) )
| ( ~ aUpperBoundOfIn0(xp,xT,xS)
& ? [X2] :
( ~ sdtlseqdt0(X2,xp)
& aElementOf0(X2,xT) ) ) ) )
| ( ~ aFixedPointOf0(xp,xf)
& ( xp != sdtlpdtrp0(xf,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
( ( ~ aSupremumOfIn0(xp,xT,xS)
& ( ? [X0] :
( ~ sdtlseqdt0(xp,X0)
& aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aElementOf0(X0,xS) )
| ( ~ aUpperBoundOfIn0(xp,xT,xS)
& ? [X2] :
( ~ sdtlseqdt0(X2,xp)
& aElementOf0(X2,xT) ) ) ) )
| ( ~ aFixedPointOf0(xp,xf)
& ( xp != sdtlpdtrp0(xf,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
~ ( ( aSupremumOfIn0(xp,xT,xS)
| ( ! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) )
=> sdtlseqdt0(xp,X0) )
& ( aUpperBoundOfIn0(xp,xT,xS)
| ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,xp) ) ) ) )
& ( aFixedPointOf0(xp,xf)
| ( xp = sdtlpdtrp0(xf,xp)
& aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,negated_conjecture,
~ ( ( aSupremumOfIn0(xp,xT,xS)
| ( ! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) )
=> sdtlseqdt0(xp,X0) )
& ( aUpperBoundOfIn0(xp,xT,xS)
| ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) ) ) ) )
& ( aFixedPointOf0(xp,xf)
| ( xp = sdtlpdtrp0(xf,xp)
& aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
( ( aSupremumOfIn0(xp,xT,xS)
| ( ! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) )
=> sdtlseqdt0(xp,X0) )
& ( aUpperBoundOfIn0(xp,xT,xS)
| ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,xp) ) ) ) )
& ( aFixedPointOf0(xp,xf)
| ( xp = sdtlpdtrp0(xf,xp)
& aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f595,plain,
( ~ sP3
| xp != sdtlpdtrp0(xf,xp) ),
inference(subsumption_resolution,[],[f594,f289]) ).
fof(f289,plain,
aElementOf0(xp,xU),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( aInfimumOfIn0(xp,xP,xU)
& ! [X0] :
( sdtlseqdt0(X0,xp)
| ( ~ aLowerBoundOfIn0(X0,xP,xU)
& sP14(X0) ) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X1] :
( sdtlseqdt0(xp,X1)
| ~ aElementOf0(X1,xP) )
& aElementOf0(xp,xU)
& aElementOf0(xp,xU) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
( aInfimumOfIn0(xp,xP,xU)
& ! [X0] :
( sdtlseqdt0(X0,xp)
| ( ~ aLowerBoundOfIn0(X0,xP,xU)
& sP14(X0) ) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X2] :
( sdtlseqdt0(xp,X2)
| ~ aElementOf0(X2,xP) )
& aElementOf0(xp,xU)
& aElementOf0(xp,xU) ),
inference(definition_folding,[],[f50,f95]) ).
fof(f95,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
| ~ aElementOf0(X0,xU)
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f50,plain,
( aInfimumOfIn0(xp,xP,xU)
& ! [X0] :
( sdtlseqdt0(X0,xp)
| ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
| ~ aElementOf0(X0,xU) ) ) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X2] :
( sdtlseqdt0(xp,X2)
| ~ aElementOf0(X2,xP) )
& aElementOf0(xp,xU)
& aElementOf0(xp,xU) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
( aInfimumOfIn0(xp,xP,xU)
& ! [X0] :
( ( aLowerBoundOfIn0(X0,xP,xU)
| ( ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xU) ) )
=> sdtlseqdt0(X0,xp) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(xp,X2) )
& aElementOf0(xp,xU)
& aElementOf0(xp,xU) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
( aInfimumOfIn0(xp,xP,xU)
& ! [X0] :
( ( aLowerBoundOfIn0(X0,xP,xU)
| ( ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xU) ) )
=> sdtlseqdt0(X0,xp) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(xp,X0) )
& aElementOf0(xp,xU)
& aElementOf0(xp,xU) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1261) ).
fof(f594,plain,
( ~ aElementOf0(xp,xU)
| xp != sdtlpdtrp0(xf,xp)
| ~ sP3 ),
inference(superposition,[],[f219,f376]) ).
fof(f376,plain,
xU = szDzozmdt0(xf),
inference(forward_demodulation,[],[f283,f284]) ).
fof(f284,plain,
xU = szRzazndt0(xf),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( isOn0(xf,xU)
& xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf)) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X2] :
( sP13(X2)
| ( ~ aSubsetOf0(X2,xU)
& sP7(X2) ) )
& aSet0(xU) ),
inference(definition_folding,[],[f49,f93,f92,f91,f90,f89,f88,f87]) ).
fof(f87,plain,
! [X2] :
( ? [X3] :
( ~ aElementOf0(X3,xU)
& aElementOf0(X3,X2) )
| ~ aSet0(X2)
| ~ sP7(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f88,plain,
! [X9,X2] :
( ? [X10] :
( ~ sdtlseqdt0(X9,X10)
& aElementOf0(X10,X2) )
| ~ aElementOf0(X9,xU)
| ~ sP8(X9,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f89,plain,
! [X6,X2] :
( ? [X7] :
( ~ sdtlseqdt0(X7,X6)
& aElementOf0(X7,X2) )
| ~ aElementOf0(X6,xU)
| ~ sP9(X6,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f90,plain,
! [X5,X2] :
( ! [X6] :
( sdtlseqdt0(X5,X6)
| ( ~ aUpperBoundOfIn0(X6,X2,xU)
& sP9(X6,X2) ) )
| ~ sP10(X5,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f91,plain,
! [X2] :
( ? [X5] :
( aSupremumOfIn0(X5,X2,xU)
& sP10(X5,X2)
& aUpperBoundOfIn0(X5,X2,xU)
& ! [X8] :
( sdtlseqdt0(X8,X5)
| ~ aElementOf0(X8,X2) )
& aElementOf0(X5,xU)
& aElementOf0(X5,xU) )
| ~ sP11(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f92,plain,
! [X4,X2] :
( ! [X9] :
( sdtlseqdt0(X9,X4)
| ( ~ aLowerBoundOfIn0(X9,X2,xU)
& sP8(X9,X2) ) )
| ~ sP12(X4,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f93,plain,
! [X2] :
( ? [X4] :
( sP11(X2)
& aInfimumOfIn0(X4,X2,xU)
& sP12(X4,X2)
& aLowerBoundOfIn0(X4,X2,xU)
& ! [X11] :
( sdtlseqdt0(X4,X11)
| ~ aElementOf0(X11,X2) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) )
| ~ sP13(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f49,plain,
( isOn0(xf,xU)
& xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf)) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X2] :
( ? [X4] :
( ? [X5] :
( aSupremumOfIn0(X5,X2,xU)
& ! [X6] :
( sdtlseqdt0(X5,X6)
| ( ~ aUpperBoundOfIn0(X6,X2,xU)
& ( ? [X7] :
( ~ sdtlseqdt0(X7,X6)
& aElementOf0(X7,X2) )
| ~ aElementOf0(X6,xU) ) ) )
& aUpperBoundOfIn0(X5,X2,xU)
& ! [X8] :
( sdtlseqdt0(X8,X5)
| ~ aElementOf0(X8,X2) )
& aElementOf0(X5,xU)
& aElementOf0(X5,xU) )
& aInfimumOfIn0(X4,X2,xU)
& ! [X9] :
( sdtlseqdt0(X9,X4)
| ( ~ aLowerBoundOfIn0(X9,X2,xU)
& ( ? [X10] :
( ~ sdtlseqdt0(X9,X10)
& aElementOf0(X10,X2) )
| ~ aElementOf0(X9,xU) ) ) )
& aLowerBoundOfIn0(X4,X2,xU)
& ! [X11] :
( sdtlseqdt0(X4,X11)
| ~ aElementOf0(X11,X2) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) )
| ( ~ aSubsetOf0(X2,xU)
& ( ? [X3] :
( ~ aElementOf0(X3,xU)
& aElementOf0(X3,X2) )
| ~ aSet0(X2) ) ) )
& aSet0(xU) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
( isOn0(xf,xU)
& xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf)) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X2] :
( ? [X4] :
( ? [X5] :
( aSupremumOfIn0(X5,X2,xU)
& ! [X6] :
( sdtlseqdt0(X5,X6)
| ( ~ aUpperBoundOfIn0(X6,X2,xU)
& ( ? [X7] :
( ~ sdtlseqdt0(X7,X6)
& aElementOf0(X7,X2) )
| ~ aElementOf0(X6,xU) ) ) )
& aUpperBoundOfIn0(X5,X2,xU)
& ! [X8] :
( sdtlseqdt0(X8,X5)
| ~ aElementOf0(X8,X2) )
& aElementOf0(X5,xU)
& aElementOf0(X5,xU) )
& aInfimumOfIn0(X4,X2,xU)
& ! [X9] :
( sdtlseqdt0(X9,X4)
| ( ~ aLowerBoundOfIn0(X9,X2,xU)
& ( ? [X10] :
( ~ sdtlseqdt0(X9,X10)
& aElementOf0(X10,X2) )
| ~ aElementOf0(X9,xU) ) ) )
& aLowerBoundOfIn0(X4,X2,xU)
& ! [X11] :
( sdtlseqdt0(X4,X11)
| ~ aElementOf0(X11,X2) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) )
| ( ~ aSubsetOf0(X2,xU)
& ( ? [X3] :
( ~ aElementOf0(X3,xU)
& aElementOf0(X3,X2) )
| ~ aSet0(X2) ) ) )
& aSet0(xU) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
( isOn0(xf,xU)
& xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X0,X1] :
( ( aElementOf0(X1,szDzozmdt0(xf))
& aElementOf0(X0,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X0,X1)
=> sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1)) ) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X2] :
( ( aSubsetOf0(X2,xU)
| ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,xU) )
& aSet0(X2) ) )
=> ? [X4] :
( ? [X5] :
( aSupremumOfIn0(X5,X2,xU)
& ! [X6] :
( ( aUpperBoundOfIn0(X6,X2,xU)
| ( ! [X7] :
( aElementOf0(X7,X2)
=> sdtlseqdt0(X7,X6) )
& aElementOf0(X6,xU) ) )
=> sdtlseqdt0(X5,X6) )
& aUpperBoundOfIn0(X5,X2,xU)
& ! [X8] :
( aElementOf0(X8,X2)
=> sdtlseqdt0(X8,X5) )
& aElementOf0(X5,xU)
& aElementOf0(X5,xU) )
& aInfimumOfIn0(X4,X2,xU)
& ! [X9] :
( ( aLowerBoundOfIn0(X9,X2,xU)
| ( ! [X10] :
( aElementOf0(X10,X2)
=> sdtlseqdt0(X9,X10) )
& aElementOf0(X9,xU) ) )
=> sdtlseqdt0(X9,X4) )
& aLowerBoundOfIn0(X4,X2,xU)
& ! [X11] :
( aElementOf0(X11,X2)
=> sdtlseqdt0(X4,X11) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) ) )
& aSet0(xU) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
( isOn0(xf,xU)
& xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X0,X1] :
( ( aElementOf0(X1,szDzozmdt0(xf))
& aElementOf0(X0,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X0,X1)
=> sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1)) ) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X0] :
( ( aSubsetOf0(X0,xU)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xU) )
& aSet0(X0) ) )
=> ? [X1] :
( ? [X2] :
( aSupremumOfIn0(X2,X0,xU)
& ! [X3] :
( ( aUpperBoundOfIn0(X3,X0,xU)
| ( ! [X4] :
( aElementOf0(X4,X0)
=> sdtlseqdt0(X4,X3) )
& aElementOf0(X3,xU) ) )
=> sdtlseqdt0(X2,X3) )
& aUpperBoundOfIn0(X2,X0,xU)
& ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X3,X2) )
& aElementOf0(X2,xU)
& aElementOf0(X2,xU) )
& aInfimumOfIn0(X1,X0,xU)
& ! [X2] :
( ( aLowerBoundOfIn0(X2,X0,xU)
| ( ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X2,X3) )
& aElementOf0(X2,xU) ) )
=> sdtlseqdt0(X2,X1) )
& aLowerBoundOfIn0(X1,X0,xU)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,xU)
& aElementOf0(X1,xU) ) )
& aSet0(xU) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1123) ).
fof(f283,plain,
szDzozmdt0(xf) = szRzazndt0(xf),
inference(cnf_transformation,[],[f94]) ).
fof(f219,plain,
( ~ aElementOf0(xp,szDzozmdt0(xf))
| xp != sdtlpdtrp0(xf,xp)
| ~ sP3 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( ~ aFixedPointOf0(xp,xf)
& ( xp != sdtlpdtrp0(xf,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf)) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f80]) ).
fof(f9281,plain,
xp = sdtlpdtrp0(xf,xp),
inference(unit_resulting_resolution,[],[f428,f2463,f413,f9236,f369]) ).
fof(f369,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mASymm) ).
fof(f9236,plain,
sdtlseqdt0(xp,sdtlpdtrp0(xf,xp)),
inference(unit_resulting_resolution,[],[f9216,f290]) ).
fof(f290,plain,
! [X1] :
( ~ aElementOf0(X1,xP)
| sdtlseqdt0(xp,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f9216,plain,
aElementOf0(sdtlpdtrp0(xf,xp),xP),
inference(unit_resulting_resolution,[],[f2406,f298,f8063,f248]) ).
fof(f248,plain,
! [X0] :
( ~ aUpperBoundOfIn0(X0,xT,xU)
| aElementOf0(X0,xP)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( ~ aUpperBoundOfIn0(X0,xT,xU)
& sP6(X0) )
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU) )
& ( sP5(X0)
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP) ),
inference(definition_folding,[],[f46,f85,f84]) ).
fof(f84,plain,
! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X2] :
( sdtlseqdt0(X2,X0)
| ~ aElementOf0(X2,xT) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f85,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f46,plain,
( xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( ~ aUpperBoundOfIn0(X0,xT,xU)
& ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) ) )
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU) )
& ( ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X2] :
( sdtlseqdt0(X2,X0)
| ~ aElementOf0(X2,xT) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
( xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( ~ aUpperBoundOfIn0(X0,xT,xU)
& ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) ) )
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU) )
& ( ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X2] :
( sdtlseqdt0(X2,X0)
| ~ aElementOf0(X2,xT) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
( xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( ( ( aUpperBoundOfIn0(X0,xT,xU)
| ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
=> aElementOf0(X0,xP) )
& ( aElementOf0(X0,xP)
=> ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X0) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) ) ) )
& aSet0(xP) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
( xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( ( ( aUpperBoundOfIn0(X0,xT,xU)
| ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
=> aElementOf0(X0,xP) )
& ( aElementOf0(X0,xP)
=> ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) ) ) )
& aSet0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1244) ).
fof(f8063,plain,
sdtlseqdt0(sdtlpdtrp0(xf,sdtlpdtrp0(xf,xp)),sdtlpdtrp0(xf,xp)),
inference(unit_resulting_resolution,[],[f2406,f413,f289,f378]) ).
fof(f378,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,xU)
| sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ aElementOf0(X0,xU) ),
inference(forward_demodulation,[],[f377,f376]) ).
fof(f377,plain,
! [X0,X1] :
( ~ aElementOf0(X1,xU)
| sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(forward_demodulation,[],[f281,f376]) ).
fof(f281,plain,
! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f298,plain,
aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ! [X0] :
( sdtlseqdt0(X0,sdtlpdtrp0(xf,xp))
| ~ aElementOf0(X0,xT) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,xp),X1)
| ~ aElementOf0(X1,xP) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
( aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,sdtlpdtrp0(xf,xp)) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X1) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
( aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(X0,sdtlpdtrp0(xf,xp)) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& ! [X0] :
( aElementOf0(X0,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1299) ).
fof(f2406,plain,
aElementOf0(sdtlpdtrp0(xf,xp),xU),
inference(unit_resulting_resolution,[],[f289,f2405]) ).
fof(f2405,plain,
! [X0] :
( ~ aElementOf0(X0,xU)
| aElementOf0(sdtlpdtrp0(xf,X0),xU) ),
inference(forward_demodulation,[],[f2404,f284]) ).
fof(f2404,plain,
! [X0] :
( ~ aElementOf0(X0,xU)
| aElementOf0(sdtlpdtrp0(xf,X0),szRzazndt0(xf)) ),
inference(subsumption_resolution,[],[f2403,f280]) ).
fof(f280,plain,
aFunction0(xf),
inference(cnf_transformation,[],[f94]) ).
fof(f2403,plain,
! [X0] :
( ~ aElementOf0(X0,xU)
| aElementOf0(sdtlpdtrp0(xf,X0),szRzazndt0(xf))
| ~ aFunction0(xf) ),
inference(superposition,[],[f309,f376]) ).
fof(f309,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgSort) ).
fof(f413,plain,
sdtlseqdt0(sdtlpdtrp0(xf,xp),xp),
inference(unit_resulting_resolution,[],[f296,f293]) ).
fof(f293,plain,
! [X0] :
( ~ aLowerBoundOfIn0(X0,xP,xU)
| sdtlseqdt0(X0,xp) ),
inference(cnf_transformation,[],[f165]) ).
fof(f296,plain,
aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU),
inference(cnf_transformation,[],[f51]) ).
fof(f2463,plain,
aElement0(sdtlpdtrp0(xf,xp)),
inference(unit_resulting_resolution,[],[f276,f2406,f351]) ).
fof(f351,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f276,plain,
aSet0(xU),
inference(cnf_transformation,[],[f94]) ).
fof(f428,plain,
aElement0(xp),
inference(unit_resulting_resolution,[],[f276,f289,f351]) ).
fof(f20175,plain,
( sP6(sK32)
| sP0
| ~ sP1 ),
inference(resolution,[],[f20170,f226]) ).
fof(f226,plain,
( ~ sdtlseqdt0(xp,sK32)
| ~ sP1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( ~ sdtlseqdt0(xp,sK32)
& aUpperBoundOfIn0(sK32,xT,xS)
& ! [X1] :
( sdtlseqdt0(X1,sK32)
| ~ aElementOf0(X1,xT) )
& aElementOf0(sK32,xS) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f125,f126]) ).
fof(f126,plain,
( ? [X0] :
( ~ sdtlseqdt0(xp,X0)
& aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aElementOf0(X0,xS) )
=> ( ~ sdtlseqdt0(xp,sK32)
& aUpperBoundOfIn0(sK32,xT,xS)
& ! [X1] :
( sdtlseqdt0(X1,sK32)
| ~ aElementOf0(X1,xT) )
& aElementOf0(sK32,xS) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X0] :
( ~ sdtlseqdt0(xp,X0)
& aUpperBoundOfIn0(X0,xT,xS)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& aElementOf0(X0,xS) )
| ~ sP1 ),
inference(nnf_transformation,[],[f78]) ).
fof(f20170,plain,
( sdtlseqdt0(xp,sK32)
| sP6(sK32)
| sP0 ),
inference(forward_demodulation,[],[f20160,f9281]) ).
fof(f20160,plain,
( sP6(sK32)
| sP0
| sdtlseqdt0(sdtlpdtrp0(xf,xp),sK32) ),
inference(resolution,[],[f20158,f295]) ).
fof(f295,plain,
! [X1] :
( ~ aElementOf0(X1,xP)
| sdtlseqdt0(sdtlpdtrp0(xf,xp),X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f20158,plain,
( aElementOf0(sK32,xP)
| sP6(sK32)
| sP0 ),
inference(subsumption_resolution,[],[f20157,f9499]) ).
fof(f9499,plain,
( aElementOf0(sK32,xU)
| sP0 ),
inference(forward_demodulation,[],[f9497,f376]) ).
fof(f9497,plain,
( sP0
| aElementOf0(sK32,szDzozmdt0(xf)) ),
inference(resolution,[],[f9488,f231]) ).
fof(f231,plain,
! [X0] :
( ~ sP4(X0)
| aElementOf0(X0,szDzozmdt0(xf)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( aFixedPointOf0(X0,xf)
& sdtlpdtrp0(xf,X0) = X0
& aElementOf0(X0,szDzozmdt0(xf)) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( aFixedPointOf0(X0,xf)
& sdtlpdtrp0(xf,X0) = X0
& aElementOf0(X0,szDzozmdt0(xf)) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f9488,plain,
( sP4(sK32)
| sP0 ),
inference(resolution,[],[f9372,f235]) ).
fof(f235,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| sP4(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( xS = cS1142(xf)
& ! [X0] :
( ( aElementOf0(X0,xS)
| ( ~ aFixedPointOf0(X0,xf)
& ( sdtlpdtrp0(xf,X0) != X0
| ~ aElementOf0(X0,szDzozmdt0(xf)) ) ) )
& ( sP4(X0)
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(definition_folding,[],[f44,f82]) ).
fof(f44,plain,
( xS = cS1142(xf)
& ! [X0] :
( ( aElementOf0(X0,xS)
| ( ~ aFixedPointOf0(X0,xf)
& ( sdtlpdtrp0(xf,X0) != X0
| ~ aElementOf0(X0,szDzozmdt0(xf)) ) ) )
& ( ( aFixedPointOf0(X0,xf)
& sdtlpdtrp0(xf,X0) = X0
& aElementOf0(X0,szDzozmdt0(xf)) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
( xS = cS1142(xf)
& ! [X0] :
( ( ( aFixedPointOf0(X0,xf)
| ( sdtlpdtrp0(xf,X0) = X0
& aElementOf0(X0,szDzozmdt0(xf)) ) )
=> aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
=> ( aFixedPointOf0(X0,xf)
& sdtlpdtrp0(xf,X0) = X0
& aElementOf0(X0,szDzozmdt0(xf)) ) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1144) ).
fof(f9372,plain,
( aElementOf0(sK32,xS)
| sP0 ),
inference(resolution,[],[f9368,f223]) ).
fof(f223,plain,
( ~ sP1
| aElementOf0(sK32,xS) ),
inference(cnf_transformation,[],[f127]) ).
fof(f20157,plain,
( sP6(sK32)
| aElementOf0(sK32,xP)
| ~ aElementOf0(sK32,xU)
| sP0 ),
inference(resolution,[],[f10251,f9501]) ).
fof(f9501,plain,
( sdtlseqdt0(sK32,sK32)
| sP0 ),
inference(resolution,[],[f9495,f316]) ).
fof(f316,plain,
! [X0] :
( ~ aElement0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( aElement0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mARefl) ).
fof(f9495,plain,
( aElement0(sK32)
| sP0 ),
inference(subsumption_resolution,[],[f9493,f234]) ).
fof(f234,plain,
aSet0(xS),
inference(cnf_transformation,[],[f83]) ).
fof(f9493,plain,
( sP0
| aElement0(sK32)
| ~ aSet0(xS) ),
inference(resolution,[],[f9372,f351]) ).
fof(f10251,plain,
( ~ sdtlseqdt0(sK32,sK32)
| sP6(sK32)
| aElementOf0(sK32,xP)
| ~ aElementOf0(sK32,xU) ),
inference(superposition,[],[f247,f10243]) ).
fof(f10243,plain,
sK32 = sdtlpdtrp0(xf,sK32),
inference(subsumption_resolution,[],[f10238,f9496]) ).
fof(f9496,plain,
( sP0
| sK32 = sdtlpdtrp0(xf,sK32) ),
inference(resolution,[],[f9488,f232]) ).
fof(f232,plain,
! [X0] :
( ~ sP4(X0)
| sdtlpdtrp0(xf,X0) = X0 ),
inference(cnf_transformation,[],[f132]) ).
fof(f10238,plain,
( sK32 = sdtlpdtrp0(xf,sK32)
| ~ sP0 ),
inference(resolution,[],[f10198,f228]) ).
fof(f228,plain,
( ~ sdtlseqdt0(sK33,xp)
| ~ sP0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f10198,plain,
( sdtlseqdt0(sK33,xp)
| sK32 = sdtlpdtrp0(xf,sK32) ),
inference(forward_demodulation,[],[f10189,f9281]) ).
fof(f10189,plain,
( sK32 = sdtlpdtrp0(xf,sK32)
| sdtlseqdt0(sK33,sdtlpdtrp0(xf,xp)) ),
inference(resolution,[],[f9657,f297]) ).
fof(f297,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| sdtlseqdt0(X0,sdtlpdtrp0(xf,xp)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f9657,plain,
( aElementOf0(sK33,xT)
| sK32 = sdtlpdtrp0(xf,sK32) ),
inference(resolution,[],[f9496,f227]) ).
fof(f247,plain,
! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| sP6(X0)
| aElementOf0(X0,xP)
| ~ aElementOf0(X0,xU) ),
inference(cnf_transformation,[],[f86]) ).
fof(f20230,plain,
( sP0
| ~ sP6(sK32) ),
inference(resolution,[],[f20199,f240]) ).
fof(f240,plain,
! [X0] :
( ~ sdtlseqdt0(sK34(X0),X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( ~ sdtlseqdt0(sK34(X0),X0)
& aElementOf0(sK34(X0),xT) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f133,f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) )
=> ( ~ sdtlseqdt0(sK34(X0),X0)
& aElementOf0(sK34(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f85]) ).
fof(f20199,plain,
( sdtlseqdt0(sK34(sK32),sK32)
| sP0 ),
inference(duplicate_literal_removal,[],[f20186]) ).
fof(f20186,plain,
( sP0
| sP0
| sdtlseqdt0(sK34(sK32),sK32) ),
inference(resolution,[],[f20185,f9574]) ).
fof(f9574,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| sP0
| sdtlseqdt0(X0,sK32) ),
inference(resolution,[],[f9572,f375]) ).
fof(f375,plain,
! [X0,X1,X4] :
( ~ sP52(X0,X1)
| ~ aElementOf0(X4,X1)
| sdtlseqdt0(X4,X0) ),
inference(general_splitting,[],[f345,f374_D]) ).
fof(f374,plain,
! [X2,X0,X1] :
( ~ sP25(X0,X1,X2)
| sP52(X0,X1) ),
inference(cnf_transformation,[],[f374_D]) ).
fof(f374_D,plain,
! [X1,X0] :
( ! [X2] : ~ sP25(X0,X1,X2)
<=> ~ sP52(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP52])]) ).
fof(f345,plain,
! [X2,X0,X1,X4] :
( sdtlseqdt0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ sP25(X0,X1,X2) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ( sP25(X0,X1,X2)
| ( ~ sdtlseqdt0(sK47(X0,X1),X0)
& aElementOf0(sK47(X0,X1),X1) )
| ~ aElementOf0(X0,X2) )
& ( ( ! [X4] :
( sdtlseqdt0(X4,X0)
| ~ aElementOf0(X4,X1) )
& aElementOf0(X0,X2) )
| ~ sP25(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f202,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ? [X3] :
( ~ sdtlseqdt0(X3,X0)
& aElementOf0(X3,X1) )
=> ( ~ sdtlseqdt0(sK47(X0,X1),X0)
& aElementOf0(sK47(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
! [X0,X1,X2] :
( ( sP25(X0,X1,X2)
| ? [X3] :
( ~ sdtlseqdt0(X3,X0)
& aElementOf0(X3,X1) )
| ~ aElementOf0(X0,X2) )
& ( ( ! [X4] :
( sdtlseqdt0(X4,X0)
| ~ aElementOf0(X4,X1) )
& aElementOf0(X0,X2) )
| ~ sP25(X0,X1,X2) ) ),
inference(rectify,[],[f201]) ).
fof(f201,plain,
! [X2,X1,X0] :
( ( sP25(X2,X1,X0)
| ? [X3] :
( ~ sdtlseqdt0(X3,X2)
& aElementOf0(X3,X1) )
| ~ aElementOf0(X2,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X2)
| ~ aElementOf0(X3,X1) )
& aElementOf0(X2,X0) )
| ~ sP25(X2,X1,X0) ) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
! [X2,X1,X0] :
( ( sP25(X2,X1,X0)
| ? [X3] :
( ~ sdtlseqdt0(X3,X2)
& aElementOf0(X3,X1) )
| ~ aElementOf0(X2,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X2)
| ~ aElementOf0(X3,X1) )
& aElementOf0(X2,X0) )
| ~ sP25(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X2,X1,X0] :
( sP25(X2,X1,X0)
<=> ( ! [X3] :
( sdtlseqdt0(X3,X2)
| ~ aElementOf0(X3,X1) )
& aElementOf0(X2,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f9572,plain,
( sP52(sK32,xT)
| sP0 ),
inference(resolution,[],[f9568,f374]) ).
fof(f9568,plain,
( sP25(sK32,xT,xS)
| sP0 ),
inference(subsumption_resolution,[],[f9567,f524]) ).
fof(f524,plain,
sP26(xS,xT),
inference(unit_resulting_resolution,[],[f234,f252,f348]) ).
fof(f348,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| sP26(X0,X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( sP26(X0,X1)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(definition_folding,[],[f63,f113,f112]) ).
fof(f113,plain,
! [X0,X1] :
( ! [X2] :
( aUpperBoundOfIn0(X2,X1,X0)
<=> sP25(X2,X1,X0) )
| ~ sP26(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( aUpperBoundOfIn0(X2,X1,X0)
<=> ( ! [X3] :
( sdtlseqdt0(X3,X2)
| ~ aElementOf0(X3,X1) )
& aElementOf0(X2,X0) ) )
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> ! [X2] :
( aUpperBoundOfIn0(X2,X1,X0)
<=> ( ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) )
& aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefUB) ).
fof(f252,plain,
aSubsetOf0(xT,xS),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( aSubsetOf0(xT,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xT) )
& aSet0(xT) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
( aSubsetOf0(xT,xS)
& ! [X0] :
( aElementOf0(X0,xT)
=> aElementOf0(X0,xS) )
& aSet0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1173) ).
fof(f9567,plain,
( sP0
| sP25(sK32,xT,xS)
| ~ sP26(xS,xT) ),
inference(resolution,[],[f9373,f342]) ).
fof(f342,plain,
! [X2,X0,X1] :
( ~ aUpperBoundOfIn0(X2,X1,X0)
| sP25(X2,X1,X0)
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ! [X2] :
( ( aUpperBoundOfIn0(X2,X1,X0)
| ~ sP25(X2,X1,X0) )
& ( sP25(X2,X1,X0)
| ~ aUpperBoundOfIn0(X2,X1,X0) ) )
| ~ sP26(X0,X1) ),
inference(nnf_transformation,[],[f113]) ).
fof(f9373,plain,
( aUpperBoundOfIn0(sK32,xT,xS)
| sP0 ),
inference(resolution,[],[f9368,f225]) ).
fof(f225,plain,
( ~ sP1
| aUpperBoundOfIn0(sK32,xT,xS) ),
inference(cnf_transformation,[],[f127]) ).
fof(f20185,plain,
( aElementOf0(sK34(sK32),xT)
| sP0 ),
inference(resolution,[],[f20184,f239]) ).
fof(f239,plain,
! [X0] :
( ~ sP6(X0)
| aElementOf0(sK34(X0),xT) ),
inference(cnf_transformation,[],[f135]) ).
fof(f20250,plain,
~ aElementOf0(sK33,xT),
inference(unit_resulting_resolution,[],[f7636,f20239,f243]) ).
fof(f243,plain,
! [X0,X1] :
( ~ aElementOf0(X1,xT)
| sdtlseqdt0(X1,X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,xT) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
| ~ sP5(X0) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X2] :
( sdtlseqdt0(X2,X0)
| ~ aElementOf0(X2,xT) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f84]) ).
fof(f20239,plain,
~ sdtlseqdt0(sK33,xp),
inference(unit_resulting_resolution,[],[f20237,f228]) ).
fof(f7636,plain,
sP5(xp),
inference(subsumption_resolution,[],[f7632,f4614]) ).
fof(f4614,plain,
( sP6(xp)
| sP5(xp) ),
inference(resolution,[],[f4609,f246]) ).
fof(f246,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| sP5(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f4609,plain,
( aElementOf0(xp,xP)
| sP6(xp) ),
inference(subsumption_resolution,[],[f4602,f289]) ).
fof(f4602,plain,
( sP6(xp)
| aElementOf0(xp,xP)
| ~ aElementOf0(xp,xU) ),
inference(resolution,[],[f247,f413]) ).
fof(f7632,plain,
( sP5(xp)
| ~ sP6(xp) ),
inference(resolution,[],[f7610,f240]) ).
fof(f7610,plain,
( sdtlseqdt0(sK34(xp),xp)
| sP5(xp) ),
inference(subsumption_resolution,[],[f7596,f4640]) ).
fof(f4640,plain,
( sP5(xp)
| aElement0(sK34(xp)) ),
inference(subsumption_resolution,[],[f4638,f250]) ).
fof(f250,plain,
aSet0(xT),
inference(cnf_transformation,[],[f47]) ).
fof(f4638,plain,
( sP5(xp)
| aElement0(sK34(xp))
| ~ aSet0(xT) ),
inference(resolution,[],[f4623,f351]) ).
fof(f4623,plain,
( aElementOf0(sK34(xp),xT)
| sP5(xp) ),
inference(resolution,[],[f4614,f239]) ).
fof(f7596,plain,
( sdtlseqdt0(sK34(xp),xp)
| ~ aElement0(sK34(xp))
| sP5(xp) ),
inference(resolution,[],[f7054,f4631]) ).
fof(f4631,plain,
( sdtlseqdt0(sK34(xp),sdtlpdtrp0(xf,xp))
| sP5(xp) ),
inference(resolution,[],[f4623,f297]) ).
fof(f7054,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sdtlpdtrp0(xf,xp))
| sdtlseqdt0(X0,xp)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f7053,f2463]) ).
fof(f7053,plain,
! [X0] :
( sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(X0,sdtlpdtrp0(xf,xp))
| ~ aElement0(sdtlpdtrp0(xf,xp))
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f6702,f428]) ).
fof(f6702,plain,
! [X0] :
( sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(X0,sdtlpdtrp0(xf,xp))
| ~ aElement0(xp)
| ~ aElement0(sdtlpdtrp0(xf,xp))
| ~ aElement0(X0) ),
inference(resolution,[],[f370,f413]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTrans) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT387+4 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n012.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 : Mon Apr 29 21:25:12 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % (17670)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (17673)WARNING: value z3 for option sas not known
% 0.12/0.36 % (17672)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (17673)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (17676)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.37 % (17675)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.37 % (17677)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.37 % (17674)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.37 % (17671)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.38 TRYING [1]
% 0.12/0.38 TRYING [2]
% 0.12/0.38 TRYING [1]
% 0.12/0.38 TRYING [3]
% 0.12/0.38 TRYING [2]
% 0.18/0.40 TRYING [3]
% 0.18/0.40 TRYING [4]
% 0.18/0.42 TRYING [5]
% 0.18/0.43 TRYING [4]
% 0.18/0.46 TRYING [6]
% 0.18/0.48 TRYING [5]
% 1.33/0.54 TRYING [6]
% 1.33/0.58 TRYING [7]
% 2.01/0.64 TRYING [7]
% 2.47/0.76 TRYING [1]
% 2.47/0.76 TRYING [2]
% 2.97/0.77 TRYING [3]
% 3.01/0.79 TRYING [4]
% 3.01/0.79 TRYING [8]
% 3.25/0.81 % (17677)First to succeed.
% 3.25/0.82 % (17677)Refutation found. Thanks to Tanya!
% 3.25/0.82 % SZS status Theorem for theBenchmark
% 3.25/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 3.25/0.82 % (17677)------------------------------
% 3.25/0.82 % (17677)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.25/0.82 % (17677)Termination reason: Refutation
% 3.25/0.82
% 3.25/0.82 % (17677)Memory used [KB]: 5379
% 3.25/0.82 % (17677)Time elapsed: 0.450 s
% 3.25/0.82 % (17677)Instructions burned: 972 (million)
% 3.25/0.82 % (17677)------------------------------
% 3.25/0.82 % (17677)------------------------------
% 3.25/0.82 % (17670)Success in time 0.466 s
%------------------------------------------------------------------------------