TSTP Solution File: NUM633+3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM633+3 : 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 : Tue Apr 30 14:36:54 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 7 unt; 0 def)
% Number of atoms : 382 ( 61 equ)
% Maximal formula atoms : 32 ( 8 avg)
% Number of connectives : 478 ( 142 ~; 107 |; 196 &)
% ( 1 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 131 ( 100 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2239,plain,
$false,
inference(subsumption_resolution,[],[f2238,f688]) ).
fof(f688,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f375]) ).
fof(f375,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd)) )
& ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(flattening,[],[f374]) ).
fof(f374,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd)) )
& ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4854) ).
fof(f2238,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(subsumption_resolution,[],[f2237,f700]) ).
fof(f700,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,axiom,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(f2237,plain,
( ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(szDzizrdt0(xd),xT) ),
inference(subsumption_resolution,[],[f2236,f670]) ).
fof(f670,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f2236,plain,
( ~ isCountable0(xO)
| ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(szDzizrdt0(xd),xT) ),
inference(resolution,[],[f2235,f577]) ).
fof(f577,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ! [X0] :
( ! [X1] :
( sP1(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ( ~ aElementOf0(sK52(X1),xS)
& aElementOf0(sK52(X1),X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& ! [X3] :
( sP0(X3)
| ( ~ aElementOf0(X3,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xO)
& ( ( ~ aElementOf0(sK53(X3),xO)
& aElementOf0(sK53(X3),X3) )
| ~ aSet0(X3) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53])],[f327,f329,f328]) ).
fof(f328,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK52(X1),xS)
& aElementOf0(sK52(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f329,plain,
! [X3] :
( ? [X4] :
( ~ aElementOf0(X4,xO)
& aElementOf0(X4,X3) )
=> ( ~ aElementOf0(sK53(X3),xO)
& aElementOf0(sK53(X3),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f327,plain,
( ! [X0] :
( ! [X1] :
( sP1(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& ! [X3] :
( sP0(X3)
| ( ~ aElementOf0(X3,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xO)
& ( ? [X4] :
( ~ aElementOf0(X4,xO)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) ) ) ) ),
inference(rectify,[],[f253]) ).
fof(f253,plain,
( ! [X6] :
( ! [X7] :
( sP1(X6,X7)
| ~ isCountable0(X7)
| ( ~ aSubsetOf0(X7,xS)
& ( ? [X10] :
( ~ aElementOf0(X10,xS)
& aElementOf0(X10,X7) )
| ~ aSet0(X7) ) ) )
| ~ aElementOf0(X6,xT) )
& ! [X0] :
( sP0(X0)
| ( ~ aElementOf0(X0,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xO)
& ( ? [X1] :
( ~ aElementOf0(X1,xO)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) ) ) ) ),
inference(definition_folding,[],[f122,f252,f251]) ).
fof(f251,plain,
! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,X0) )
& slcrc0 != X0
& ? [X5] : aElementOf0(X5,X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f252,plain,
! [X6,X7] :
( ? [X8] :
( sdtlpdtrp0(xc,X8) != X6
& aElementOf0(X8,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X8)
& aSubsetOf0(X8,X7)
& ! [X9] :
( aElementOf0(X9,X7)
| ~ aElementOf0(X9,X8) )
& aSet0(X8) )
| ~ sP1(X6,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f122,plain,
( ! [X6] :
( ! [X7] :
( ? [X8] :
( sdtlpdtrp0(xc,X8) != X6
& aElementOf0(X8,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X8)
& aSubsetOf0(X8,X7)
& ! [X9] :
( aElementOf0(X9,X7)
| ~ aElementOf0(X9,X8) )
& aSet0(X8) )
| ~ isCountable0(X7)
| ( ~ aSubsetOf0(X7,xS)
& ( ? [X10] :
( ~ aElementOf0(X10,xS)
& aElementOf0(X10,X7) )
| ~ aSet0(X7) ) ) )
| ~ aElementOf0(X6,xT) )
& ! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,X0) )
& slcrc0 != X0
& ? [X5] : aElementOf0(X5,X0) )
| ( ~ aElementOf0(X0,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xO)
& ( ? [X1] :
( ~ aElementOf0(X1,xO)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) ) ) ) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
( ! [X6] :
( ! [X7] :
( ? [X8] :
( sdtlpdtrp0(xc,X8) != X6
& aElementOf0(X8,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X8)
& aSubsetOf0(X8,X7)
& ! [X9] :
( aElementOf0(X9,X7)
| ~ aElementOf0(X9,X8) )
& aSet0(X8) )
| ~ isCountable0(X7)
| ( ~ aSubsetOf0(X7,xS)
& ( ? [X10] :
( ~ aElementOf0(X10,xS)
& aElementOf0(X10,X7) )
| ~ aSet0(X7) ) ) )
| ~ aElementOf0(X6,xT) )
& ! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,X0) )
& slcrc0 != X0
& ? [X5] : aElementOf0(X5,X0) )
| ( ~ aElementOf0(X0,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xO)
& ( ? [X1] :
( ~ aElementOf0(X1,xO)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) ) ) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
~ ( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xO,xK))
| ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xO)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xO) )
& aSet0(X0) ) ) ) )
=> ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X0,xS)
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(X3,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,X0)
=> aElementOf0(X4,szNzAzT0) )
& ~ ( slcrc0 = X0
| ~ ? [X5] : aElementOf0(X5,X0) ) ) )
=> ? [X6] :
( ? [X7] :
( ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X8)
& aSubsetOf0(X8,X7)
& ! [X9] :
( aElementOf0(X9,X8)
=> aElementOf0(X9,X7) )
& aSet0(X8) )
=> sdtlpdtrp0(xc,X8) = X6 )
& isCountable0(X7)
& ( aSubsetOf0(X7,xS)
| ( ! [X10] :
( aElementOf0(X10,X7)
=> aElementOf0(X10,xS) )
& aSet0(X7) ) ) )
& aElementOf0(X6,xT) ) ),
inference(rectify,[],[f100]) ).
fof(f100,negated_conjecture,
~ ( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xO,xK))
| ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xO)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xO) )
& aSet0(X0) ) ) ) )
=> ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,szNzAzT0) )
& ~ ( slcrc0 = X0
| ~ ? [X1] : aElementOf0(X1,X0) ) ) )
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& ( aSubsetOf0(X1,xS)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) ) ) )
& aElementOf0(X0,xT) ) ),
inference(negated_conjecture,[],[f99]) ).
fof(f99,conjecture,
( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xO,xK))
| ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xO)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xO) )
& aSet0(X0) ) ) ) )
=> ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,szNzAzT0) )
& ~ ( slcrc0 = X0
| ~ ? [X1] : aElementOf0(X1,X0) ) ) )
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& ( aSubsetOf0(X1,xS)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) ) ) )
& aElementOf0(X0,xT) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f2235,plain,
~ sP1(szDzizrdt0(xd),xO),
inference(trivial_inequality_removal,[],[f2234]) ).
fof(f2234,plain,
( szDzizrdt0(xd) != szDzizrdt0(xd)
| ~ sP1(szDzizrdt0(xd),xO) ),
inference(superposition,[],[f560,f2225]) ).
fof(f2225,plain,
szDzizrdt0(xd) = sdtlpdtrp0(xc,sK50(szDzizrdt0(xd),xO)),
inference(resolution,[],[f2224,f688]) ).
fof(f2224,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| szDzizrdt0(xd) = sdtlpdtrp0(xc,sK50(X0,xO)) ),
inference(subsumption_resolution,[],[f2223,f700]) ).
fof(f2223,plain,
! [X0] :
( szDzizrdt0(xd) = sdtlpdtrp0(xc,sK50(X0,xO))
| ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f2222,f670]) ).
fof(f2222,plain,
! [X0] :
( szDzizrdt0(xd) = sdtlpdtrp0(xc,sK50(X0,xO))
| ~ isCountable0(xO)
| ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(X0,xT) ),
inference(resolution,[],[f2156,f577]) ).
fof(f2156,plain,
! [X0] :
( ~ sP1(X0,xO)
| szDzizrdt0(xd) = sdtlpdtrp0(xc,sK50(X0,xO)) ),
inference(resolution,[],[f2108,f570]) ).
fof(f570,plain,
! [X0] :
( ~ sP0(X0)
| szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f326,plain,
! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X0) )
& slcrc0 != X0
& aElementOf0(sK51(X0),X0) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f324,f325]) ).
fof(f325,plain,
! [X0] :
( ? [X4] : aElementOf0(X4,X0)
=> aElementOf0(sK51(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f324,plain,
! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X0) )
& slcrc0 != X0
& ? [X4] : aElementOf0(X4,X0) )
| ~ sP0(X0) ),
inference(rectify,[],[f323]) ).
fof(f323,plain,
! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,X0) )
& slcrc0 != X0
& ? [X5] : aElementOf0(X5,X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f251]) ).
fof(f2108,plain,
! [X0] :
( sP0(sK50(X0,xO))
| ~ sP1(X0,xO) ),
inference(resolution,[],[f559,f574]) ).
fof(f574,plain,
! [X3] :
( ~ aElementOf0(X3,slbdtsldtrb0(xO,xK))
| sP0(X3) ),
inference(cnf_transformation,[],[f330]) ).
fof(f559,plain,
! [X0,X1] :
( aElementOf0(sK50(X0,X1),slbdtsldtrb0(X1,xK))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
! [X0,X1] :
( ( sdtlpdtrp0(xc,sK50(X0,X1)) != X0
& aElementOf0(sK50(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK50(X0,X1))
& aSubsetOf0(sK50(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK50(X0,X1)) )
& aSet0(sK50(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f320,f321]) ).
fof(f321,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
=> ( sdtlpdtrp0(xc,sK50(X0,X1)) != X0
& aElementOf0(sK50(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK50(X0,X1))
& aSubsetOf0(sK50(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK50(X0,X1)) )
& aSet0(sK50(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f320,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f319]) ).
fof(f319,plain,
! [X6,X7] :
( ? [X8] :
( sdtlpdtrp0(xc,X8) != X6
& aElementOf0(X8,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X8)
& aSubsetOf0(X8,X7)
& ! [X9] :
( aElementOf0(X9,X7)
| ~ aElementOf0(X9,X8) )
& aSet0(X8) )
| ~ sP1(X6,X7) ),
inference(nnf_transformation,[],[f252]) ).
fof(f560,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,sK50(X0,X1)) != X0
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : NUM633+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.32 % Computer : n032.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Mon Apr 29 23:44:05 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.32 % (20208)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.34 % (20211)WARNING: value z3 for option sas not known
% 0.09/0.34 % (20213)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)
% 0.09/0.34 % (20210)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.34 % (20214)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)
% 0.09/0.34 % (20209)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.34 % (20212)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.34 % (20215)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)
% 0.09/0.34 % (20211)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)
% 0.14/0.40 % (20211)First to succeed.
% 0.14/0.40 % (20211)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (20211)------------------------------
% 0.14/0.40 % (20211)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40 % (20211)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (20211)Memory used [KB]: 2379
% 0.14/0.40 % (20211)Time elapsed: 0.055 s
% 0.14/0.40 % (20211)Instructions burned: 115 (million)
% 0.14/0.40 % (20211)------------------------------
% 0.14/0.40 % (20211)------------------------------
% 0.14/0.40 % (20208)Success in time 0.077 s
%------------------------------------------------------------------------------