TSTP Solution File: LAT385+4 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT385+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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:32:29 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 7 unt; 0 def)
% Number of atoms : 437 ( 17 equ)
% Maximal formula atoms : 37 ( 9 avg)
% Number of connectives : 524 ( 131 ~; 106 |; 246 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 134 ( 97 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f307,plain,
$false,
inference(resolution,[],[f306,f176]) ).
fof(f176,plain,
aSet0(xP),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( ~ aUpperBoundOfIn0(X0,xT,xU)
& ~ sdtlseqdt0(sK13(X0),X0)
& aElementOf0(sK13(X0),xT) )
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU) )
& ( ( aUpperBoundOfIn0(X0,xT,xU)
& ! [X2] :
( sdtlseqdt0(X2,X0)
| ~ aElementOf0(X2,xT) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f43,f93]) ).
fof(f93,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) )
=> ( ~ sdtlseqdt0(sK13(X0),X0)
& aElementOf0(sK13(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f43,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,[],[f42]) ).
fof(f42,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,[],[f31]) ).
fof(f31,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(f306,plain,
~ aSet0(xP),
inference(resolution,[],[f304,f286]) ).
fof(f286,plain,
~ sP4(xP),
inference(resolution,[],[f190,f165]) ).
fof(f165,plain,
! [X0] : ~ aInfimumOfIn0(X0,xP,xU),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ~ aInfimumOfIn0(X0,xP,xU)
& ( sP0(X0)
| ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ( ~ sdtlseqdt0(X0,sK12(X0))
& aElementOf0(sK12(X0),xP) )
| ~ aElementOf0(X0,xU) ) )
| ~ aElementOf0(X0,xU) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f90,f91]) ).
fof(f91,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
=> ( ~ sdtlseqdt0(X0,sK12(X0))
& aElementOf0(sK12(X0),xP) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ~ aInfimumOfIn0(X0,xP,xU)
& ( sP0(X0)
| ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
| ~ aElementOf0(X0,xU) ) )
| ~ aElementOf0(X0,xU) ) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ~ aInfimumOfIn0(X0,xP,xU)
& ( sP0(X0)
| ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ? [X3] :
( ~ sdtlseqdt0(X0,X3)
& aElementOf0(X3,xP) )
| ~ aElementOf0(X0,xU) ) )
| ~ aElementOf0(X0,xU) ) ),
inference(definition_folding,[],[f39,f71]) ).
fof(f71,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aLowerBoundOfIn0(X1,xP,xU)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,xP) )
& aElementOf0(X1,xU) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f39,plain,
! [X0] :
( ~ aInfimumOfIn0(X0,xP,xU)
& ( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aLowerBoundOfIn0(X1,xP,xU)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,xP) )
& aElementOf0(X1,xU) )
| ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ? [X3] :
( ~ sdtlseqdt0(X0,X3)
& aElementOf0(X3,xP) )
| ~ aElementOf0(X0,xU) ) )
| ~ aElementOf0(X0,xU) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ~ aInfimumOfIn0(X0,xP,xU)
& ( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aLowerBoundOfIn0(X1,xP,xU)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,xP) )
& aElementOf0(X1,xU) )
| ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ? [X3] :
( ~ sdtlseqdt0(X0,X3)
& aElementOf0(X3,xP) )
| ~ aElementOf0(X0,xU) ) )
| ~ aElementOf0(X0,xU) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
~ ? [X0] :
( aInfimumOfIn0(X0,xP,xU)
| ( ! [X1] :
( ( aLowerBoundOfIn0(X1,xP,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,xU) )
=> sdtlseqdt0(X1,X0) )
& ( aLowerBoundOfIn0(X0,xP,xU)
| ( ! [X3] :
( aElementOf0(X3,xP)
=> sdtlseqdt0(X0,X3) )
& aElementOf0(X0,xU) ) )
& aElementOf0(X0,xU) ) ),
inference(rectify,[],[f29]) ).
fof(f29,negated_conjecture,
~ ? [X0] :
( aInfimumOfIn0(X0,xP,xU)
| ( ! [X1] :
( ( aLowerBoundOfIn0(X1,xP,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,xU) )
=> sdtlseqdt0(X1,X0) )
& ( aLowerBoundOfIn0(X0,xP,xU)
| ( ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xU) ) )
& aElementOf0(X0,xU) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
? [X0] :
( aInfimumOfIn0(X0,xP,xU)
| ( ! [X1] :
( ( aLowerBoundOfIn0(X1,xP,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,xU) )
=> sdtlseqdt0(X1,X0) )
& ( aLowerBoundOfIn0(X0,xP,xU)
| ( ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xU) ) )
& aElementOf0(X0,xU) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f190,plain,
! [X0] :
( aInfimumOfIn0(sK14(X0),X0,xU)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( sP2(X0)
& aInfimumOfIn0(sK14(X0),X0,xU)
& sP3(sK14(X0),X0)
& aLowerBoundOfIn0(sK14(X0),X0,xU)
& ! [X2] :
( sdtlseqdt0(sK14(X0),X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(sK14(X0),xU)
& aElementOf0(sK14(X0),xU) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f96,f97]) ).
fof(f97,plain,
! [X0] :
( ? [X1] :
( sP2(X0)
& aInfimumOfIn0(X1,X0,xU)
& sP3(X1,X0)
& aLowerBoundOfIn0(X1,X0,xU)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,xU)
& aElementOf0(X1,xU) )
=> ( sP2(X0)
& aInfimumOfIn0(sK14(X0),X0,xU)
& sP3(sK14(X0),X0)
& aLowerBoundOfIn0(sK14(X0),X0,xU)
& ! [X2] :
( sdtlseqdt0(sK14(X0),X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(sK14(X0),xU)
& aElementOf0(sK14(X0),xU) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ? [X1] :
( sP2(X0)
& aInfimumOfIn0(X1,X0,xU)
& sP3(X1,X0)
& aLowerBoundOfIn0(X1,X0,xU)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,xU)
& aElementOf0(X1,xU) )
| ~ sP4(X0) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X2] :
( ? [X4] :
( sP2(X2)
& aInfimumOfIn0(X4,X2,xU)
& sP3(X4,X2)
& aLowerBoundOfIn0(X4,X2,xU)
& ! [X11] :
( sdtlseqdt0(X4,X11)
| ~ aElementOf0(X11,X2) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) )
| ~ sP4(X2) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X2] :
( ? [X4] :
( sP2(X2)
& aInfimumOfIn0(X4,X2,xU)
& sP3(X4,X2)
& aLowerBoundOfIn0(X4,X2,xU)
& ! [X11] :
( sdtlseqdt0(X4,X11)
| ~ aElementOf0(X11,X2) )
& aElementOf0(X4,xU)
& aElementOf0(X4,xU) )
| ~ sP4(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f304,plain,
( sP4(xP)
| ~ aSet0(xP) ),
inference(resolution,[],[f300,f205]) ).
fof(f205,plain,
! [X2] :
( aElementOf0(sK18(X2),X2)
| sP4(X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,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] :
( sP4(X2)
| ( ~ aSubsetOf0(X2,xU)
& ( ( ~ aElementOf0(sK18(X2),xU)
& aElementOf0(sK18(X2),X2) )
| ~ aSet0(X2) ) ) )
& aSet0(xU) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f77,f111]) ).
fof(f111,plain,
! [X2] :
( ? [X3] :
( ~ aElementOf0(X3,xU)
& aElementOf0(X3,X2) )
=> ( ~ aElementOf0(sK18(X2),xU)
& aElementOf0(sK18(X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f77,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] :
( sP4(X2)
| ( ~ aSubsetOf0(X2,xU)
& ( ? [X3] :
( ~ aElementOf0(X3,xU)
& aElementOf0(X3,X2) )
| ~ aSet0(X2) ) ) )
& aSet0(xU) ),
inference(definition_folding,[],[f45,f76,f75,f74,f73]) ).
fof(f73,plain,
! [X5,X2] :
( ! [X6] :
( sdtlseqdt0(X5,X6)
| ( ~ aUpperBoundOfIn0(X6,X2,xU)
& ( ? [X7] :
( ~ sdtlseqdt0(X7,X6)
& aElementOf0(X7,X2) )
| ~ aElementOf0(X6,xU) ) ) )
| ~ sP1(X5,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f74,plain,
! [X2] :
( ? [X5] :
( aSupremumOfIn0(X5,X2,xU)
& sP1(X5,X2)
& aUpperBoundOfIn0(X5,X2,xU)
& ! [X8] :
( sdtlseqdt0(X8,X5)
| ~ aElementOf0(X8,X2) )
& aElementOf0(X5,xU)
& aElementOf0(X5,xU) )
| ~ sP2(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f75,plain,
! [X4,X2] :
( ! [X9] :
( sdtlseqdt0(X9,X4)
| ( ~ aLowerBoundOfIn0(X9,X2,xU)
& ( ? [X10] :
( ~ sdtlseqdt0(X9,X10)
& aElementOf0(X10,X2) )
| ~ aElementOf0(X9,xU) ) ) )
| ~ sP3(X4,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f45,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,[],[f44]) ).
fof(f44,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,[],[f32]) ).
fof(f32,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(f300,plain,
~ aElementOf0(sK18(xP),xP),
inference(resolution,[],[f297,f177]) ).
fof(f177,plain,
! [X0] :
( aElementOf0(X0,xU)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f94]) ).
fof(f297,plain,
~ aElementOf0(sK18(xP),xU),
inference(resolution,[],[f296,f176]) ).
fof(f296,plain,
( ~ aSet0(xP)
| ~ aElementOf0(sK18(xP),xU) ),
inference(resolution,[],[f206,f286]) ).
fof(f206,plain,
! [X2] :
( sP4(X2)
| ~ aElementOf0(sK18(X2),xU)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT385+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 12:15:49 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (26338)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (26341)WARNING: value z3 for option sas not known
% 0.13/0.37 % (26339)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (26340)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (26342)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (26341)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)
% 0.13/0.37 % (26343)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)
% 0.13/0.37 % (26344)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)
% 0.13/0.37 % (26345)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)
% 0.13/0.38 % (26344)First to succeed.
% 0.13/0.38 % (26344)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26338"
% 0.13/0.38 % (26345)Also succeeded, but the first one will report.
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (26344)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (26344)------------------------------
% 0.13/0.38 % (26344)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (26344)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (26344)Memory used [KB]: 993
% 0.13/0.38 % (26344)Time elapsed: 0.010 s
% 0.13/0.38 % (26344)Instructions burned: 14 (million)
% 0.13/0.38 % (26338)Success in time 0.027 s
%------------------------------------------------------------------------------