TSTP Solution File: LAT385+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT385+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 : n022.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 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 56 ( 8 unt; 0 def)
% Number of atoms : 521 ( 20 equ)
% Maximal formula atoms : 37 ( 9 avg)
% Number of connectives : 633 ( 168 ~; 142 |; 277 &)
% ( 2 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 165 ( 123 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f355,plain,
$false,
inference(subsumption_resolution,[],[f353,f350]) ).
fof(f350,plain,
~ aElementOf0(sK4(xU,xP),xU),
inference(subsumption_resolution,[],[f349,f173]) ).
fof(f173,plain,
aSet0(xP),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( aSet0(xP)
& xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( ~ aElementOf0(X0,xP)
| ( aElementOf0(X0,xU)
& aUpperBoundOfIn0(X0,xT,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& ! [X1] :
( ~ aElementOf0(X1,xT)
| sdtlseqdt0(X1,X0) ) ) )
& ( aElementOf0(X0,xP)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ( aElementOf0(sK6(X0),xT)
& ~ sdtlseqdt0(sK6(X0),X0)
& ~ aUpperBoundOfIn0(X0,xT,xU) )
| ~ aElementOf0(X0,xU) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f92,f93]) ).
fof(f93,plain,
! [X0] :
( ? [X2] :
( aElementOf0(X2,xT)
& ~ sdtlseqdt0(X2,X0) )
=> ( aElementOf0(sK6(X0),xT)
& ~ sdtlseqdt0(sK6(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( aSet0(xP)
& xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( ~ aElementOf0(X0,xP)
| ( aElementOf0(X0,xU)
& aUpperBoundOfIn0(X0,xT,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& ! [X1] :
( ~ aElementOf0(X1,xT)
| sdtlseqdt0(X1,X0) ) ) )
& ( aElementOf0(X0,xP)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ( ? [X2] :
( aElementOf0(X2,xT)
& ~ sdtlseqdt0(X2,X0) )
& ~ aUpperBoundOfIn0(X0,xT,xU) )
| ~ aElementOf0(X0,xU) ) ) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
( aSet0(xP)
& xP = cS1241(xU,xf,xT)
& ! [X0] :
( ( ~ aElementOf0(X0,xP)
| ( aElementOf0(X0,xU)
& aUpperBoundOfIn0(X0,xT,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& ! [X2] :
( ~ aElementOf0(X2,xT)
| sdtlseqdt0(X2,X0) ) ) )
& ( aElementOf0(X0,xP)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ( ? [X1] :
( aElementOf0(X1,xT)
& ~ sdtlseqdt0(X1,X0) )
& ~ aUpperBoundOfIn0(X0,xT,xU) )
| ~ aElementOf0(X0,xU) ) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,xP)
| ( aElementOf0(X0,xU)
& aUpperBoundOfIn0(X0,xT,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& ! [X2] :
( ~ aElementOf0(X2,xT)
| sdtlseqdt0(X2,X0) ) ) )
& ( aElementOf0(X0,xP)
| ( ? [X1] :
( aElementOf0(X1,xT)
& ~ sdtlseqdt0(X1,X0) )
& ~ aUpperBoundOfIn0(X0,xT,xU) )
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
| ~ aElementOf0(X0,xU) ) )
& xP = cS1241(xU,xf,xT)
& aSet0(xP) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
( ! [X0] :
( ( aElementOf0(X0,xP)
=> ( ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X0) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU)
& aUpperBoundOfIn0(X0,xT,xU) ) )
& ( ( ( aUpperBoundOfIn0(X0,xT,xU)
| ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) )
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& aElementOf0(X0,xU) )
=> aElementOf0(X0,xP) ) )
& xP = cS1241(xU,xf,xT)
& aSet0(xP) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
( aSet0(xP)
& 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)
& aElementOf0(X0,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X0),X0)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1244) ).
fof(f349,plain,
( ~ aElementOf0(sK4(xU,xP),xU)
| ~ aSet0(xP) ),
inference(subsumption_resolution,[],[f345,f226]) ).
fof(f226,plain,
aSet0(xU),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf)) )
& ! [X2] :
( ( ( ~ aSet0(X2)
| ( aElementOf0(sK16(X2),X2)
& ~ aElementOf0(sK16(X2),xU) ) )
& ~ aSubsetOf0(X2,xU) )
| sP3(X2) )
& xU = szRzazndt0(xf)
& aSet0(xU)
& isMonotone0(xf)
& aCompleteLattice0(xU)
& isOn0(xf,xU)
& szDzozmdt0(xf) = szRzazndt0(xf)
& aFunction0(xf) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f129,f130]) ).
fof(f130,plain,
! [X2] :
( ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,xU) )
=> ( aElementOf0(sK16(X2),X2)
& ~ aElementOf0(sK16(X2),xU) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,szDzozmdt0(xf)) )
& ! [X2] :
( ( ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,xU) ) )
& ~ aSubsetOf0(X2,xU) )
| sP3(X2) )
& xU = szRzazndt0(xf)
& aSet0(xU)
& isMonotone0(xf)
& aCompleteLattice0(xU)
& isOn0(xf,xU)
& szDzozmdt0(xf) = szRzazndt0(xf)
& aFunction0(xf) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
( ! [X10,X11] :
( sdtlseqdt0(sdtlpdtrp0(xf,X11),sdtlpdtrp0(xf,X10))
| ~ sdtlseqdt0(X11,X10)
| ~ aElementOf0(X11,szDzozmdt0(xf))
| ~ aElementOf0(X10,szDzozmdt0(xf)) )
& ! [X0] :
( ( ( ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xU) ) )
& ~ aSubsetOf0(X0,xU) )
| sP3(X0) )
& xU = szRzazndt0(xf)
& aSet0(xU)
& isMonotone0(xf)
& aCompleteLattice0(xU)
& isOn0(xf,xU)
& szDzozmdt0(xf) = szRzazndt0(xf)
& aFunction0(xf) ),
inference(definition_folding,[],[f66,f80,f79,f78]) ).
fof(f78,plain,
! [X0] :
( ? [X5] :
( aSupremumOfIn0(X5,X0,xU)
& ! [X7] :
( sdtlseqdt0(X5,X7)
| ( ~ aUpperBoundOfIn0(X7,X0,xU)
& ( ? [X8] :
( aElementOf0(X8,X0)
& ~ sdtlseqdt0(X8,X7) )
| ~ aElementOf0(X7,xU) ) ) )
& ! [X6] :
( sdtlseqdt0(X6,X5)
| ~ aElementOf0(X6,X0) )
& aElementOf0(X5,xU)
& aUpperBoundOfIn0(X5,X0,xU)
& aElementOf0(X5,xU) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f79,plain,
! [X0,X2] :
( ! [X3] :
( ( ( ~ aElementOf0(X3,xU)
| ? [X4] :
( ~ sdtlseqdt0(X3,X4)
& aElementOf0(X4,X0) ) )
& ~ aLowerBoundOfIn0(X3,X0,xU) )
| sdtlseqdt0(X3,X2) )
| ~ sP2(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f80,plain,
! [X0] :
( ? [X2] :
( aLowerBoundOfIn0(X2,X0,xU)
& ! [X9] :
( sdtlseqdt0(X2,X9)
| ~ aElementOf0(X9,X0) )
& sP1(X0)
& aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& aInfimumOfIn0(X2,X0,xU)
& sP2(X0,X2) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f66,plain,
( ! [X10,X11] :
( sdtlseqdt0(sdtlpdtrp0(xf,X11),sdtlpdtrp0(xf,X10))
| ~ sdtlseqdt0(X11,X10)
| ~ aElementOf0(X11,szDzozmdt0(xf))
| ~ aElementOf0(X10,szDzozmdt0(xf)) )
& ! [X0] :
( ( ( ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xU) ) )
& ~ aSubsetOf0(X0,xU) )
| ? [X2] :
( aLowerBoundOfIn0(X2,X0,xU)
& ! [X9] :
( sdtlseqdt0(X2,X9)
| ~ aElementOf0(X9,X0) )
& ? [X5] :
( aSupremumOfIn0(X5,X0,xU)
& ! [X7] :
( sdtlseqdt0(X5,X7)
| ( ~ aUpperBoundOfIn0(X7,X0,xU)
& ( ? [X8] :
( aElementOf0(X8,X0)
& ~ sdtlseqdt0(X8,X7) )
| ~ aElementOf0(X7,xU) ) ) )
& ! [X6] :
( sdtlseqdt0(X6,X5)
| ~ aElementOf0(X6,X0) )
& aElementOf0(X5,xU)
& aUpperBoundOfIn0(X5,X0,xU)
& aElementOf0(X5,xU) )
& aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& aInfimumOfIn0(X2,X0,xU)
& ! [X3] :
( ( ( ~ aElementOf0(X3,xU)
| ? [X4] :
( ~ sdtlseqdt0(X3,X4)
& aElementOf0(X4,X0) ) )
& ~ aLowerBoundOfIn0(X3,X0,xU) )
| sdtlseqdt0(X3,X2) ) ) )
& xU = szRzazndt0(xf)
& aSet0(xU)
& isMonotone0(xf)
& aCompleteLattice0(xU)
& isOn0(xf,xU)
& szDzozmdt0(xf) = szRzazndt0(xf)
& aFunction0(xf) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
( xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& aCompleteLattice0(xU)
& ! [X0] :
( ( ( ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xU) ) )
& ~ aSubsetOf0(X0,xU) )
| ? [X2] :
( aLowerBoundOfIn0(X2,X0,xU)
& ! [X9] :
( sdtlseqdt0(X2,X9)
| ~ aElementOf0(X9,X0) )
& ? [X5] :
( aSupremumOfIn0(X5,X0,xU)
& ! [X7] :
( sdtlseqdt0(X5,X7)
| ( ~ aUpperBoundOfIn0(X7,X0,xU)
& ( ? [X8] :
( aElementOf0(X8,X0)
& ~ sdtlseqdt0(X8,X7) )
| ~ aElementOf0(X7,xU) ) ) )
& ! [X6] :
( sdtlseqdt0(X6,X5)
| ~ aElementOf0(X6,X0) )
& aElementOf0(X5,xU)
& aUpperBoundOfIn0(X5,X0,xU)
& aElementOf0(X5,xU) )
& aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& aInfimumOfIn0(X2,X0,xU)
& ! [X3] :
( ( ( ~ aElementOf0(X3,xU)
| ? [X4] :
( ~ sdtlseqdt0(X3,X4)
& aElementOf0(X4,X0) ) )
& ~ aLowerBoundOfIn0(X3,X0,xU) )
| sdtlseqdt0(X3,X2) ) ) )
& aFunction0(xf)
& ! [X11,X10] :
( sdtlseqdt0(sdtlpdtrp0(xf,X11),sdtlpdtrp0(xf,X10))
| ~ sdtlseqdt0(X11,X10)
| ~ aElementOf0(X11,szDzozmdt0(xf))
| ~ aElementOf0(X10,szDzozmdt0(xf)) )
& aSet0(xU)
& isOn0(xf,xU)
& isMonotone0(xf) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
( xU = szRzazndt0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& aCompleteLattice0(xU)
& ! [X0] :
( ( aSubsetOf0(X0,xU)
| ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xU) ) ) )
=> ? [X2] :
( ! [X3] :
( ( ( aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X0)
=> sdtlseqdt0(X3,X4) ) )
| aLowerBoundOfIn0(X3,X0,xU) )
=> sdtlseqdt0(X3,X2) )
& aLowerBoundOfIn0(X2,X0,xU)
& ? [X5] :
( aElementOf0(X5,xU)
& ! [X7] :
( ( aUpperBoundOfIn0(X7,X0,xU)
| ( ! [X8] :
( aElementOf0(X8,X0)
=> sdtlseqdt0(X8,X7) )
& aElementOf0(X7,xU) ) )
=> sdtlseqdt0(X5,X7) )
& ! [X6] :
( aElementOf0(X6,X0)
=> sdtlseqdt0(X6,X5) )
& aElementOf0(X5,xU)
& aUpperBoundOfIn0(X5,X0,xU)
& aSupremumOfIn0(X5,X0,xU) )
& aInfimumOfIn0(X2,X0,xU)
& aElementOf0(X2,xU)
& ! [X9] :
( aElementOf0(X9,X0)
=> sdtlseqdt0(X2,X9) )
& aElementOf0(X2,xU) ) )
& aFunction0(xf)
& ! [X11,X10] :
( ( aElementOf0(X11,szDzozmdt0(xf))
& aElementOf0(X10,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X11,X10)
=> sdtlseqdt0(sdtlpdtrp0(xf,X11),sdtlpdtrp0(xf,X10)) ) )
& aSet0(xU)
& isOn0(xf,xU)
& isMonotone0(xf) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
( aCompleteLattice0(xU)
& aFunction0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X0] :
( ( aSubsetOf0(X0,xU)
| ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xU) ) ) )
=> ? [X1] :
( ! [X2] :
( ( ( aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X2,X3) ) )
| aLowerBoundOfIn0(X2,X0,xU) )
=> sdtlseqdt0(X2,X1) )
& aLowerBoundOfIn0(X1,X0,xU)
& ? [X2] :
( aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X0)
=> sdtlseqdt0(X3,X2) )
& ! [X3] :
( ( aUpperBoundOfIn0(X3,X0,xU)
| ( aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X0)
=> sdtlseqdt0(X4,X3) ) ) )
=> sdtlseqdt0(X2,X3) )
& aElementOf0(X2,xU)
& aUpperBoundOfIn0(X2,X0,xU)
& aSupremumOfIn0(X2,X0,xU) )
& aInfimumOfIn0(X1,X0,xU)
& aElementOf0(X1,xU)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,xU) ) )
& ! [X1,X0] :
( ( aElementOf0(X1,szDzozmdt0(xf))
& aElementOf0(X0,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X0,X1)
=> sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1)) ) )
& xU = szRzazndt0(xf)
& aSet0(xU)
& isOn0(xf,xU) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1123) ).
fof(f345,plain,
( ~ aSet0(xU)
| ~ aElementOf0(sK4(xU,xP),xU)
| ~ aSet0(xP) ),
inference(resolution,[],[f338,f158]) ).
fof(f158,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK4(X0,X1),X0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( aElementOf0(sK4(X0,X1),X1)
& ~ aElementOf0(sK4(X0,X1),X0) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f84,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
=> ( aElementOf0(sK4(X0,X1),X1)
& ~ aElementOf0(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) ) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) ) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f338,plain,
~ aSubsetOf0(xP,xU),
inference(resolution,[],[f285,f190]) ).
fof(f190,plain,
! [X0] : ~ aInfimumOfIn0(X0,xP,xU),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ( ~ sdtlseqdt0(X0,sK9(X0))
& aElementOf0(sK9(X0),xP) )
| ~ aElementOf0(X0,xU) ) )
| ~ aElementOf0(X0,xU)
| sP0(X0) )
& ~ aInfimumOfIn0(X0,xP,xU) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f77,f104]) ).
fof(f104,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
=> ( ~ sdtlseqdt0(X0,sK9(X0))
& aElementOf0(sK9(X0),xP) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ( ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
| ~ aElementOf0(X0,xU) ) )
| ~ aElementOf0(X0,xU)
| sP0(X0) )
& ~ aInfimumOfIn0(X0,xP,xU) ),
inference(definition_folding,[],[f74,f76]) ).
fof(f76,plain,
! [X0] :
( ? [X2] :
( aElementOf0(X2,xU)
& ~ sdtlseqdt0(X2,X0)
& ! [X3] :
( ~ aElementOf0(X3,xP)
| sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,xP,xU) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f74,plain,
! [X0] :
( ( ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
| ~ aElementOf0(X0,xU) ) )
| ~ aElementOf0(X0,xU)
| ? [X2] :
( aElementOf0(X2,xU)
& ~ sdtlseqdt0(X2,X0)
& ! [X3] :
( ~ aElementOf0(X3,xP)
| sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,xP,xU) ) )
& ~ aInfimumOfIn0(X0,xP,xU) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ~ aInfimumOfIn0(X0,xP,xU)
& ( ~ aElementOf0(X0,xU)
| ? [X2] :
( ~ sdtlseqdt0(X2,X0)
& ! [X3] :
( ~ aElementOf0(X3,xP)
| sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,xP,xU)
& aElementOf0(X2,xU) )
| ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
| ~ aElementOf0(X0,xU) ) ) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ? [X0] :
( aInfimumOfIn0(X0,xP,xU)
| ( aElementOf0(X0,xU)
& ! [X2] :
( ( ! [X3] :
( aElementOf0(X3,xP)
=> sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,xP,xU)
& aElementOf0(X2,xU) )
=> sdtlseqdt0(X2,X0) )
& ( aLowerBoundOfIn0(X0,xP,xU)
| ( aElementOf0(X0,xU)
& ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) ) ) ) ) ),
inference(rectify,[],[f29]) ).
fof(f29,negated_conjecture,
~ ? [X0] :
( aInfimumOfIn0(X0,xP,xU)
| ( aElementOf0(X0,xU)
& ( aLowerBoundOfIn0(X0,xP,xU)
| ( aElementOf0(X0,xU)
& ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) ) ) )
& ! [X1] :
( ( aLowerBoundOfIn0(X1,xP,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,xU) )
=> sdtlseqdt0(X1,X0) ) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
? [X0] :
( aInfimumOfIn0(X0,xP,xU)
| ( aElementOf0(X0,xU)
& ( aLowerBoundOfIn0(X0,xP,xU)
| ( aElementOf0(X0,xU)
& ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(X0,X1) ) ) )
& ! [X1] :
( ( aLowerBoundOfIn0(X1,xP,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,xU) )
=> sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f285,plain,
! [X4] :
( aInfimumOfIn0(sK12(X4),X4,xU)
| ~ aSubsetOf0(X4,xU) ),
inference(resolution,[],[f228,f204]) ).
fof(f204,plain,
! [X0] :
( ~ sP3(X0)
| aInfimumOfIn0(sK12(X0),X0,xU) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( aLowerBoundOfIn0(sK12(X0),X0,xU)
& ! [X2] :
( sdtlseqdt0(sK12(X0),X2)
| ~ aElementOf0(X2,X0) )
& sP1(X0)
& aElementOf0(sK12(X0),xU)
& aElementOf0(sK12(X0),xU)
& aInfimumOfIn0(sK12(X0),X0,xU)
& sP2(X0,sK12(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f117,f118]) ).
fof(f118,plain,
! [X0] :
( ? [X1] :
( aLowerBoundOfIn0(X1,X0,xU)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& sP1(X0)
& aElementOf0(X1,xU)
& aElementOf0(X1,xU)
& aInfimumOfIn0(X1,X0,xU)
& sP2(X0,X1) )
=> ( aLowerBoundOfIn0(sK12(X0),X0,xU)
& ! [X2] :
( sdtlseqdt0(sK12(X0),X2)
| ~ aElementOf0(X2,X0) )
& sP1(X0)
& aElementOf0(sK12(X0),xU)
& aElementOf0(sK12(X0),xU)
& aInfimumOfIn0(sK12(X0),X0,xU)
& sP2(X0,sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0] :
( ? [X1] :
( aLowerBoundOfIn0(X1,X0,xU)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& sP1(X0)
& aElementOf0(X1,xU)
& aElementOf0(X1,xU)
& aInfimumOfIn0(X1,X0,xU)
& sP2(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ? [X2] :
( aLowerBoundOfIn0(X2,X0,xU)
& ! [X9] :
( sdtlseqdt0(X2,X9)
| ~ aElementOf0(X9,X0) )
& sP1(X0)
& aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& aInfimumOfIn0(X2,X0,xU)
& sP2(X0,X2) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f80]) ).
fof(f228,plain,
! [X2] :
( sP3(X2)
| ~ aSubsetOf0(X2,xU) ),
inference(cnf_transformation,[],[f131]) ).
fof(f353,plain,
aElementOf0(sK4(xU,xP),xU),
inference(resolution,[],[f348,f171]) ).
fof(f171,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xU) ),
inference(cnf_transformation,[],[f94]) ).
fof(f348,plain,
aElementOf0(sK4(xU,xP),xP),
inference(subsumption_resolution,[],[f347,f226]) ).
fof(f347,plain,
( aElementOf0(sK4(xU,xP),xP)
| ~ aSet0(xU) ),
inference(subsumption_resolution,[],[f346,f173]) ).
fof(f346,plain,
( ~ aSet0(xP)
| aElementOf0(sK4(xU,xP),xP)
| ~ aSet0(xU) ),
inference(resolution,[],[f338,f159]) ).
fof(f159,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| aElementOf0(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT385+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 01:28:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (1427)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)
% 0.19/0.50 % (1417)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 % (1427)Instruction limit reached!
% 0.19/0.50 % (1427)------------------------------
% 0.19/0.50 % (1427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (1427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (1427)Termination reason: Unknown
% 0.19/0.50 % (1427)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (1427)Memory used [KB]: 6012
% 0.19/0.50 % (1427)Time elapsed: 0.004 s
% 0.19/0.50 % (1427)Instructions burned: 5 (million)
% 0.19/0.50 % (1427)------------------------------
% 0.19/0.50 % (1427)------------------------------
% 0.19/0.50 % (1426)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 % (1413)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)
% 0.19/0.50 % (1414)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)
% 0.19/0.50 % (1418)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)
% 0.19/0.51 % (1417)First to succeed.
% 0.19/0.51 % (1434)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 % (1443)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 % (1421)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)
% 0.19/0.52 % (1437)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)
% 0.19/0.52 % (1417)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (1417)------------------------------
% 0.19/0.52 % (1417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1417)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (1417)Memory used [KB]: 1663
% 0.19/0.52 % (1417)Time elapsed: 0.106 s
% 0.19/0.52 % (1417)Instructions burned: 8 (million)
% 0.19/0.52 % (1417)------------------------------
% 0.19/0.52 % (1417)------------------------------
% 0.19/0.52 % (1406)Success in time 0.171 s
%------------------------------------------------------------------------------