TSTP Solution File: LAT388+4 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT388+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 : n032.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 07:32:34 EDT 2024
% Result : Theorem 0.10s 0.34s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 41
% Syntax : Number of formulae : 123 ( 47 unt; 0 def)
% Number of atoms : 644 ( 35 equ)
% Maximal formula atoms : 37 ( 5 avg)
% Number of connectives : 682 ( 161 ~; 136 |; 301 &)
% ( 23 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 43 ( 41 usr; 24 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 164 ( 126 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f430,plain,
$false,
inference(avatar_sat_refutation,[],[f319,f324,f329,f334,f339,f344,f349,f354,f358,f362,f366,f371,f376,f381,f386,f391,f396,f401,f406,f411,f416,f421,f426,f429]) ).
fof(f429,plain,
( ~ spl31_1
| ~ spl31_21 ),
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f428,plain,
( $false
| ~ spl31_1
| ~ spl31_21 ),
inference(resolution,[],[f415,f318]) ).
fof(f318,plain,
( ! [X0] : ~ aSupremumOfIn0(X0,xT,xS)
| ~ spl31_1 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl31_1
<=> ! [X0] : ~ aSupremumOfIn0(X0,xT,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).
fof(f415,plain,
( aSupremumOfIn0(xp,xT,xS)
| ~ spl31_21 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f413,plain,
( spl31_21
<=> aSupremumOfIn0(xp,xT,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_21])]) ).
fof(f426,plain,
spl31_23,
inference(avatar_split_clause,[],[f312,f423]) ).
fof(f423,plain,
( spl31_23
<=> aUpperBoundOfIn0(xp,xT,xU) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_23])]) ).
fof(f312,plain,
aUpperBoundOfIn0(xp,xT,xU),
inference(forward_demodulation,[],[f248,f237]) ).
fof(f237,plain,
xp = sdtlpdtrp0(xf,xp),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( aSupremumOfIn0(xp,xT,xS)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ( ~ aUpperBoundOfIn0(X0,xT,xS)
& ( ( ~ sdtlseqdt0(sK20(X0),X0)
& aElementOf0(sK20(X0),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(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f53,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) )
=> ( ~ sdtlseqdt0(sK20(X0),X0)
& aElementOf0(sK20(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f53,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,[],[f37]) ).
fof(f37,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,[],[f30]) ).
fof(f30,axiom,
( 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__1330) ).
fof(f248,plain,
aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU),
inference(cnf_transformation,[],[f54]) ).
fof(f54,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,[],[f38]) ).
fof(f38,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(f421,plain,
spl31_22,
inference(avatar_split_clause,[],[f308,f418]) ).
fof(f418,plain,
( spl31_22
<=> xU = szDzozmdt0(xf) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_22])]) ).
fof(f308,plain,
xU = szDzozmdt0(xf),
inference(forward_demodulation,[],[f225,f226]) ).
fof(f226,plain,
xU = szRzazndt0(xf),
inference(cnf_transformation,[],[f121]) ).
fof(f121,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])],[f86,f120]) ).
fof(f120,plain,
! [X2] :
( ? [X3] :
( ~ aElementOf0(X3,xU)
& aElementOf0(X3,X2) )
=> ( ~ aElementOf0(sK18(X2),xU)
& aElementOf0(sK18(X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f86,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,[],[f51,f85,f84,f83,f82]) ).
fof(f82,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(f83,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(f84,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(f85,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(f51,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,[],[f50]) ).
fof(f50,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,[],[f35]) ).
fof(f35,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(f225,plain,
szDzozmdt0(xf) = szRzazndt0(xf),
inference(cnf_transformation,[],[f121]) ).
fof(f416,plain,
spl31_21,
inference(avatar_split_clause,[],[f244,f413]) ).
fof(f244,plain,
aSupremumOfIn0(xp,xT,xS),
inference(cnf_transformation,[],[f125]) ).
fof(f411,plain,
spl31_20,
inference(avatar_split_clause,[],[f240,f408]) ).
fof(f408,plain,
( spl31_20
<=> aUpperBoundOfIn0(xp,xT,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_20])]) ).
fof(f240,plain,
aUpperBoundOfIn0(xp,xT,xS),
inference(cnf_transformation,[],[f125]) ).
fof(f406,plain,
spl31_19,
inference(avatar_split_clause,[],[f235,f403]) ).
fof(f403,plain,
( spl31_19
<=> aInfimumOfIn0(xp,xP,xU) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_19])]) ).
fof(f235,plain,
aInfimumOfIn0(xp,xP,xU),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( aInfimumOfIn0(xp,xP,xU)
& ! [X0] :
( sdtlseqdt0(X0,xp)
| ( ~ aLowerBoundOfIn0(X0,xP,xU)
& ( ( ~ sdtlseqdt0(X0,sK19(X0))
& aElementOf0(sK19(X0),xP) )
| ~ aElementOf0(X0,xU) ) ) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X2] :
( sdtlseqdt0(xp,X2)
| ~ aElementOf0(X2,xP) )
& aElementOf0(xp,xU)
& aElementOf0(xp,xU) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f52,f122]) ).
fof(f122,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xP) )
=> ( ~ sdtlseqdt0(X0,sK19(X0))
& aElementOf0(sK19(X0),xP) ) ),
introduced(choice_axiom,[]) ).
fof(f52,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,[],[f36]) ).
fof(f36,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(f401,plain,
spl31_18,
inference(avatar_split_clause,[],[f231,f398]) ).
fof(f398,plain,
( spl31_18
<=> aLowerBoundOfIn0(xp,xP,xU) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_18])]) ).
fof(f231,plain,
aLowerBoundOfIn0(xp,xP,xU),
inference(cnf_transformation,[],[f123]) ).
fof(f396,plain,
spl31_17,
inference(avatar_split_clause,[],[f226,f393]) ).
fof(f393,plain,
( spl31_17
<=> xU = szRzazndt0(xf) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_17])]) ).
fof(f391,plain,
spl31_16,
inference(avatar_split_clause,[],[f194,f388]) ).
fof(f388,plain,
( spl31_16
<=> xS = cS1142(xf) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_16])]) ).
fof(f194,plain,
xS = cS1142(xf),
inference(cnf_transformation,[],[f48]) ).
fof(f48,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(f386,plain,
spl31_15,
inference(avatar_split_clause,[],[f238,f383]) ).
fof(f383,plain,
( spl31_15
<=> aFixedPointOf0(xp,xf) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_15])]) ).
fof(f238,plain,
aFixedPointOf0(xp,xf),
inference(cnf_transformation,[],[f125]) ).
fof(f381,plain,
spl31_14,
inference(avatar_split_clause,[],[f229,f378]) ).
fof(f378,plain,
( spl31_14
<=> aElementOf0(xp,xU) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_14])]) ).
fof(f229,plain,
aElementOf0(xp,xU),
inference(cnf_transformation,[],[f123]) ).
fof(f376,plain,
spl31_13,
inference(avatar_split_clause,[],[f227,f373]) ).
fof(f373,plain,
( spl31_13
<=> isOn0(xf,xU) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_13])]) ).
fof(f227,plain,
isOn0(xf,xU),
inference(cnf_transformation,[],[f121]) ).
fof(f371,plain,
spl31_12,
inference(avatar_split_clause,[],[f197,f368]) ).
fof(f368,plain,
( spl31_12
<=> aSubsetOf0(xT,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_12])]) ).
fof(f197,plain,
aSubsetOf0(xT,xS),
inference(cnf_transformation,[],[f49]) ).
fof(f49,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(f366,plain,
spl31_11,
inference(avatar_split_clause,[],[f307,f364]) ).
fof(f364,plain,
( spl31_11
<=> ! [X0] :
( sP0(X0)
| ~ sdtlseqdt0(sK12(X0),X0)
| ~ aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_11])]) ).
fof(f307,plain,
! [X0] :
( sP0(X0)
| ~ sdtlseqdt0(sK12(X0),X0)
| ~ aElementOf0(X0,xS) ),
inference(duplicate_literal_removal,[],[f176]) ).
fof(f176,plain,
! [X0] :
( sP0(X0)
| ~ sdtlseqdt0(sK12(X0),X0)
| ~ aElementOf0(X0,xS)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ aSupremumOfIn0(X0,xT,xS)
& ( sP0(X0)
| ( ~ aUpperBoundOfIn0(X0,xT,xS)
& ( ( ~ sdtlseqdt0(sK12(X0),X0)
& aElementOf0(sK12(X0),xT) )
| ~ aElementOf0(X0,xS) ) )
| ~ aElementOf0(X0,xS) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f99,f100]) ).
fof(f100,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) )
=> ( ~ sdtlseqdt0(sK12(X0),X0)
& aElementOf0(sK12(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ~ aSupremumOfIn0(X0,xT,xS)
& ( sP0(X0)
| ( ~ aUpperBoundOfIn0(X0,xT,xS)
& ( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) )
| ~ aElementOf0(X0,xS) ) )
| ~ aElementOf0(X0,xS) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ~ aSupremumOfIn0(X0,xT,xS)
& ( sP0(X0)
| ( ~ aUpperBoundOfIn0(X0,xT,xS)
& ( ? [X3] :
( ~ sdtlseqdt0(X3,X0)
& aElementOf0(X3,xT) )
| ~ aElementOf0(X0,xS) ) )
| ~ aElementOf0(X0,xS) ) ),
inference(definition_folding,[],[f45,f80]) ).
fof(f80,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aUpperBoundOfIn0(X1,xT,xS)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,xT) )
& aElementOf0(X1,xS) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f45,plain,
! [X0] :
( ~ aSupremumOfIn0(X0,xT,xS)
& ( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aUpperBoundOfIn0(X1,xT,xS)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,xT) )
& aElementOf0(X1,xS) )
| ( ~ aUpperBoundOfIn0(X0,xT,xS)
& ( ? [X3] :
( ~ sdtlseqdt0(X3,X0)
& aElementOf0(X3,xT) )
| ~ aElementOf0(X0,xS) ) )
| ~ aElementOf0(X0,xS) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ~ aSupremumOfIn0(X0,xT,xS)
& ( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aUpperBoundOfIn0(X1,xT,xS)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,xT) )
& aElementOf0(X1,xS) )
| ( ~ aUpperBoundOfIn0(X0,xT,xS)
& ( ? [X3] :
( ~ sdtlseqdt0(X3,X0)
& aElementOf0(X3,xT) )
| ~ aElementOf0(X0,xS) ) )
| ~ aElementOf0(X0,xS) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
~ ? [X0] :
( aSupremumOfIn0(X0,xT,xS)
| ( ! [X1] :
( ( aUpperBoundOfIn0(X1,xT,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,xS) )
=> sdtlseqdt0(X0,X1) )
& ( aUpperBoundOfIn0(X0,xT,xS)
| ( ! [X3] :
( aElementOf0(X3,xT)
=> sdtlseqdt0(X3,X0) )
& aElementOf0(X0,xS) ) )
& aElementOf0(X0,xS) ) ),
inference(rectify,[],[f32]) ).
fof(f32,negated_conjecture,
~ ? [X0] :
( aSupremumOfIn0(X0,xT,xS)
| ( ! [X1] :
( ( aUpperBoundOfIn0(X1,xT,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,xS) )
=> sdtlseqdt0(X0,X1) )
& ( aUpperBoundOfIn0(X0,xT,xS)
| ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) ) )
& aElementOf0(X0,xS) ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
? [X0] :
( aSupremumOfIn0(X0,xT,xS)
| ( ! [X1] :
( ( aUpperBoundOfIn0(X1,xT,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,xS) )
=> sdtlseqdt0(X0,X1) )
& ( aUpperBoundOfIn0(X0,xT,xS)
| ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xS) ) )
& aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f362,plain,
spl31_10,
inference(avatar_split_clause,[],[f306,f360]) ).
fof(f360,plain,
( spl31_10
<=> ! [X0] :
( sP0(X0)
| aElementOf0(sK12(X0),xT)
| ~ aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_10])]) ).
fof(f306,plain,
! [X0] :
( sP0(X0)
| aElementOf0(sK12(X0),xT)
| ~ aElementOf0(X0,xS) ),
inference(duplicate_literal_removal,[],[f175]) ).
fof(f175,plain,
! [X0] :
( sP0(X0)
| aElementOf0(sK12(X0),xT)
| ~ aElementOf0(X0,xS)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f101]) ).
fof(f358,plain,
spl31_9,
inference(avatar_split_clause,[],[f177,f356]) ).
fof(f356,plain,
( spl31_9
<=> ! [X0] :
( sP0(X0)
| ~ aUpperBoundOfIn0(X0,xT,xS)
| ~ aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_9])]) ).
fof(f177,plain,
! [X0] :
( sP0(X0)
| ~ aUpperBoundOfIn0(X0,xT,xS)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f101]) ).
fof(f354,plain,
spl31_8,
inference(avatar_split_clause,[],[f224,f351]) ).
fof(f351,plain,
( spl31_8
<=> isMonotone0(xf) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_8])]) ).
fof(f224,plain,
isMonotone0(xf),
inference(cnf_transformation,[],[f121]) ).
fof(f349,plain,
spl31_7,
inference(avatar_split_clause,[],[f222,f346]) ).
fof(f346,plain,
( spl31_7
<=> aFunction0(xf) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_7])]) ).
fof(f222,plain,
aFunction0(xf),
inference(cnf_transformation,[],[f121]) ).
fof(f344,plain,
spl31_6,
inference(avatar_split_clause,[],[f221,f341]) ).
fof(f341,plain,
( spl31_6
<=> aCompleteLattice0(xU) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_6])]) ).
fof(f221,plain,
aCompleteLattice0(xU),
inference(cnf_transformation,[],[f121]) ).
fof(f339,plain,
spl31_5,
inference(avatar_split_clause,[],[f217,f336]) ).
fof(f336,plain,
( spl31_5
<=> aSet0(xU) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_5])]) ).
fof(f217,plain,
aSet0(xU),
inference(cnf_transformation,[],[f121]) ).
fof(f334,plain,
spl31_4,
inference(avatar_split_clause,[],[f195,f331]) ).
fof(f331,plain,
( spl31_4
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_4])]) ).
fof(f195,plain,
aSet0(xT),
inference(cnf_transformation,[],[f49]) ).
fof(f329,plain,
spl31_3,
inference(avatar_split_clause,[],[f188,f326]) ).
fof(f326,plain,
( spl31_3
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).
fof(f188,plain,
aSet0(xS),
inference(cnf_transformation,[],[f48]) ).
fof(f324,plain,
spl31_2,
inference(avatar_split_clause,[],[f179,f321]) ).
fof(f321,plain,
( spl31_2
<=> aSet0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).
fof(f179,plain,
aSet0(xP),
inference(cnf_transformation,[],[f103]) ).
fof(f103,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])],[f47,f102]) ).
fof(f102,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xT) )
=> ( ~ sdtlseqdt0(sK13(X0),X0)
& aElementOf0(sK13(X0),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f47,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,[],[f46]) ).
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(ennf_transformation,[],[f34]) ).
fof(f34,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(f319,plain,
spl31_1,
inference(avatar_split_clause,[],[f178,f317]) ).
fof(f178,plain,
! [X0] : ~ aSupremumOfIn0(X0,xT,xS),
inference(cnf_transformation,[],[f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LAT388+4 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n032.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 12:24:24 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (15964)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.33 % (15965)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.33 % (15967)WARNING: value z3 for option sas not known
% 0.10/0.33 % (15969)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)
% 0.10/0.33 % (15971)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)
% 0.10/0.34 % (15967)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)
% 0.10/0.34 % (15966)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.34 % (15968)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.34 % (15970)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)
% 0.10/0.34 % (15969)First to succeed.
% 0.10/0.34 % (15971)Also succeeded, but the first one will report.
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 % (15970)Also succeeded, but the first one will report.
% 0.10/0.34 % (15969)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15964"
% 0.10/0.34 % (15967)Also succeeded, but the first one will report.
% 0.10/0.34 % (15969)Refutation found. Thanks to Tanya!
% 0.10/0.34 % SZS status Theorem for theBenchmark
% 0.10/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.34 % (15969)------------------------------
% 0.10/0.34 % (15969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.10/0.34 % (15969)Termination reason: Refutation
% 0.10/0.34
% 0.10/0.34 % (15969)Memory used [KB]: 982
% 0.10/0.34 % (15969)Time elapsed: 0.008 s
% 0.10/0.34 % (15969)Instructions burned: 14 (million)
% 0.10/0.34 % (15964)Success in time 0.02 s
%------------------------------------------------------------------------------