%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG100+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:31 PM UTC 2026
% Result : Theorem 11.17s 2.47s
% Output : Refutation 11.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 10
% Syntax : Number of formulae : 114 ( 8 unt; 0 def)
% Number of atoms : 573 ( 57 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 807 ( 348 ~; 370 |; 68 &)
% ( 7 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 262 ( 242 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( X1 = slsdtgt0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).
fof(f39,conjecture,
aIdeal0(slsdtgt0(xc)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ aIdeal0(slsdtgt0(xc)),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f41,plain,
~ aIdeal0(slsdtgt0(xc)),
inference(flattening,[],[f40]) ).
fof(f44,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f59,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( X1 = slsdtgt0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 ) ) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f73]) ).
fof(f80,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f81,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f80]) ).
fof(f88,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f89,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f91,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f93,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f92]) ).
fof(f105,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f106,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ( ( ( ~ aElementOf0(sdtpldt0(sK4(X0),sK5(X0)),X0)
& aElementOf0(sK5(X0),X0) )
| ( ~ aElementOf0(sdtasdt0(sK6(X0),sK4(X0)),X0)
& aElement0(sK6(X0)) ) )
& aElementOf0(sK4(X0),X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X1,sK4(X0)),skolemize(X2,sK5(X0)),skolemize(X3,sK6(X0))],[f107]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ( X1 = slsdtgt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| ~ aElementOf0(X2,X1) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f60]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ( X1 = slsdtgt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| ~ aElementOf0(X2,X1) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ( X1 = slsdtgt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = X2 )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElement0(X6)
| sdtasdt0(X0,X6) != X5 ) )
& ( ? [X7] :
( aElement0(X7)
& sdtasdt0(X0,X7) = X5 )
| ~ aElementOf0(X5,X1) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( X1 = slsdtgt0(X0)
| ~ aSet0(X1)
| ( ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != sK7(X0,X1) )
| ~ aElementOf0(sK7(X0,X1),X1) )
& ( ( aElement0(sK8(X0,X1))
& sK7(X0,X1) = sdtasdt0(X0,sK8(X0,X1)) )
| aElementOf0(sK7(X0,X1),X1) ) ) )
& ( ( aSet0(X1)
& ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElement0(X6)
| sdtasdt0(X0,X6) != X5 ) )
& ( ( aElement0(sK9(X0,X5))
& sdtasdt0(X0,sK9(X0,X5)) = X5 )
| ~ aElementOf0(X5,X1) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X4,sK8(X0,X1)),skolemize(X7,sK9(X0,X5))],[f111]) ).
fof(f135,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f136,plain,
~ aIdeal0(slsdtgt0(xc)),
inference(cnf_transformation,[],[f41]) ).
fof(f150,plain,
! [X0] :
( aElementOf0(sK4(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f151,plain,
! [X0] :
( aElementOf0(sK5(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0)
| aElement0(sK6(X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f152,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK6(X0),sK4(X0)),X0)
| ~ aSet0(X0)
| aElementOf0(sK5(X0),X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f153,plain,
! [X0] :
( ~ aElementOf0(sdtpldt0(sK4(X0),sK5(X0)),X0)
| ~ aSet0(X0)
| aIdeal0(X0)
| aElement0(sK6(X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f154,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK6(X0),sK4(X0)),X0)
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(sK4(X0),sK5(X0)),X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f155,plain,
! [X0,X1,X5] :
( sdtasdt0(X0,sK9(X0,X5)) = X5
| ~ aElementOf0(X5,X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f156,plain,
! [X0,X1,X5] :
( aElement0(sK9(X0,X5))
| ~ aElementOf0(X5,X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f157,plain,
! [X0,X1,X6,X5] :
( aElementOf0(X5,X1)
| ~ aElement0(X6)
| sdtasdt0(X0,X6) != X5
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f158,plain,
! [X0,X1] :
( aSet0(X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f185,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f195,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f200,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f209,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f89]) ).
fof(f210,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f211,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f226,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f158]) ).
fof(f227,plain,
! [X0,X1,X6] :
( aElementOf0(sdtasdt0(X0,X6),X1)
| ~ aElement0(X6)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f157]) ).
fof(f228,plain,
! [X0,X6] :
( aElementOf0(sdtasdt0(X0,X6),slsdtgt0(X0))
| ~ aElement0(X6)
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f227]) ).
fof(f229,plain,
! [X0,X5] :
( ~ aElementOf0(X5,slsdtgt0(X0))
| aElement0(sK9(X0,X5))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f156]) ).
fof(f230,plain,
! [X0,X5] :
( sdtasdt0(X0,sK9(X0,X5)) = X5
| ~ aElementOf0(X5,slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f242,plain,
! [X0] :
( aElement0(sK9(X0,sK4(slsdtgt0(X0))))
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0)) ),
inference(resolution,[],[f229,f150]) ).
fof(f244,plain,
! [X0] :
( aElement0(sK9(X0,sK4(slsdtgt0(X0))))
| ~ aElement0(X0)
| aIdeal0(slsdtgt0(X0)) ),
inference(forward_subsumption_resolution,[],[f242,f226]) ).
fof(f247,plain,
! [X0,X1] :
( aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(sK9(X1,X0))
| ~ aElementOf0(X0,slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(superposition,[],[f211,f230]) ).
fof(f248,plain,
! [X0,X1] :
( aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(sK9(X1,X0))
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(duplicate_literal_removal,[],[f247]) ).
fof(f249,plain,
! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(X1))
| ~ aElement0(X1)
| aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f248,f229]) ).
fof(f261,plain,
! [X0,X1] :
( aElementOf0(sdtasdt0(X0,X1),slsdtgt0(X1))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(superposition,[],[f228,f210]) ).
fof(f263,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK4(X0),sK6(X0)),X0)
| ~ aSet0(X0)
| aElementOf0(sK5(X0),X0)
| aIdeal0(X0)
| ~ aElement0(sK4(X0))
| ~ aElement0(sK6(X0)) ),
inference(superposition,[],[f152,f210]) ).
fof(f264,plain,
! [X0,X1] :
( aElementOf0(sdtasdt0(X0,X1),slsdtgt0(X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(duplicate_literal_removal,[],[f261]) ).
fof(f268,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK4(X0),sK6(X0)),X0)
| ~ aSet0(X0)
| aElementOf0(sK5(X0),X0)
| aIdeal0(X0)
| ~ aElement0(sK4(X0)) ),
inference(forward_subsumption_resolution,[],[f263,f151]) ).
fof(f272,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sK9(X1,sdtasdt0(X0,X1)))
| ~ aElement0(X1) ),
inference(resolution,[],[f264,f229]) ).
fof(f279,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sK9(X1,sdtasdt0(X0,X1))) ),
inference(duplicate_literal_removal,[],[f272]) ).
fof(f339,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = sdtasdt0(X1,sdtasdt0(sK9(X1,X0),X2))
| ~ aElement0(X1)
| ~ aElement0(sK9(X1,X0))
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(superposition,[],[f209,f230]) ).
fof(f366,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = sdtasdt0(X1,sdtasdt0(sK9(X1,X0),X2))
| ~ aElement0(X1)
| ~ aElement0(sK9(X1,X0))
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(duplicate_literal_removal,[],[f339]) ).
fof(f379,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = sdtasdt0(X1,sdtasdt0(sK9(X1,X0),X2))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(forward_subsumption_resolution,[],[f366,f229]) ).
fof(f381,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,sdtpldt0(sK9(X1,X0),X2)) = sdtpldt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(sK9(X1,X0))
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(superposition,[],[f195,f230]) ).
fof(f406,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,sdtpldt0(sK9(X1,X0),X2)) = sdtpldt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(sK9(X1,X0))
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(duplicate_literal_removal,[],[f381]) ).
fof(f416,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,sdtpldt0(sK9(X1,X0),X2)) = sdtpldt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(forward_subsumption_resolution,[],[f406,f229]) ).
fof(f432,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,sdtasdt0(X1,X2)),slsdtgt0(X1))
| ~ aElement0(sdtpldt0(sK9(X1,X0),X2))
| ~ aElement0(X1)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(superposition,[],[f228,f416]) ).
fof(f436,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,sdtasdt0(X1,X2)),slsdtgt0(X1))
| ~ aElement0(sdtpldt0(sK9(X1,X0),X2))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(duplicate_literal_removal,[],[f432]) ).
fof(f451,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X1,X0),slsdtgt0(X2))
| ~ aElement0(sdtpldt0(sK9(X2,X1),sK9(X2,X0)))
| ~ aElement0(X2)
| ~ aElement0(sK9(X2,X0))
| ~ aElementOf0(X1,slsdtgt0(X2))
| ~ aElementOf0(X0,slsdtgt0(X2))
| ~ aElement0(X2) ),
inference(superposition,[],[f436,f230]) ).
fof(f467,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X1,X0),slsdtgt0(X2))
| ~ aElement0(sdtpldt0(sK9(X2,X1),sK9(X2,X0)))
| ~ aElement0(X2)
| ~ aElement0(sK9(X2,X0))
| ~ aElementOf0(X1,slsdtgt0(X2))
| ~ aElementOf0(X0,slsdtgt0(X2)) ),
inference(duplicate_literal_removal,[],[f451]) ).
fof(f474,plain,
! [X2,X0,X1] :
( ~ aElement0(sdtpldt0(sK9(X2,X1),sK9(X2,X0)))
| aElementOf0(sdtpldt0(X1,X0),slsdtgt0(X2))
| ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(X2))
| ~ aElementOf0(X0,slsdtgt0(X2)) ),
inference(forward_subsumption_resolution,[],[f467,f229]) ).
fof(f477,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),slsdtgt0(X2))
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(X2))
| ~ aElementOf0(X1,slsdtgt0(X2))
| ~ aElement0(sK9(X2,X0))
| ~ aElement0(sK9(X2,X1)) ),
inference(resolution,[],[f474,f200]) ).
fof(f482,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),slsdtgt0(X2))
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(X2))
| ~ aElementOf0(X1,slsdtgt0(X2))
| ~ aElement0(sK9(X2,X1)) ),
inference(forward_subsumption_resolution,[],[f477,f229]) ).
fof(f485,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),slsdtgt0(X2))
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(X2))
| ~ aElementOf0(X1,slsdtgt0(X2)) ),
inference(forward_subsumption_resolution,[],[f482,f229]) ).
fof(f488,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(sK4(slsdtgt0(X0)),slsdtgt0(X0))
| ~ aElementOf0(sK5(slsdtgt0(X0)),slsdtgt0(X0))
| ~ aSet0(slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0))
| aElement0(sK6(slsdtgt0(X0))) ),
inference(resolution,[],[f485,f153]) ).
fof(f499,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(sK5(slsdtgt0(X0)),slsdtgt0(X0))
| ~ aSet0(slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0))
| aElement0(sK6(slsdtgt0(X0))) ),
inference(forward_subsumption_resolution,[],[f488,f150]) ).
fof(f500,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0))
| aElement0(sK6(slsdtgt0(X0))) ),
inference(forward_subsumption_resolution,[],[f499,f151]) ).
fof(f501,plain,
! [X0] :
( aElement0(sK6(slsdtgt0(X0)))
| aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f500,f226]) ).
fof(f1093,plain,
! [X2,X0,X1] :
( aElementOf0(sdtasdt0(X0,X1),slsdtgt0(X2))
| ~ aElement0(sdtasdt0(sK9(X2,X0),X1))
| ~ aElement0(X2)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(X2)) ),
inference(superposition,[],[f228,f379]) ).
fof(f1107,plain,
! [X2,X0,X1] :
( aElementOf0(sdtasdt0(X0,X1),slsdtgt0(X2))
| ~ aElement0(sdtasdt0(sK9(X2,X0),X1))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(X2)) ),
inference(duplicate_literal_removal,[],[f1093]) ).
fof(f1132,plain,
! [X0] :
( ~ aElement0(sdtasdt0(sK9(X0,sK4(slsdtgt0(X0))),sK6(slsdtgt0(X0))))
| ~ aElement0(X0)
| ~ aElement0(sK6(slsdtgt0(X0)))
| ~ aElementOf0(sK4(slsdtgt0(X0)),slsdtgt0(X0))
| ~ aSet0(slsdtgt0(X0))
| aElementOf0(sK5(slsdtgt0(X0)),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0))
| ~ aElement0(sK4(slsdtgt0(X0))) ),
inference(resolution,[],[f1107,f268]) ).
fof(f1142,plain,
! [X2,X0,X1] :
( aElementOf0(X0,slsdtgt0(X2))
| ~ aElement0(sdtasdt0(sK9(X2,X1),sK9(X1,X0)))
| ~ aElement0(X2)
| ~ aElement0(sK9(X1,X0))
| ~ aElementOf0(X1,slsdtgt0(X2))
| ~ aElementOf0(X0,slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(superposition,[],[f1107,f230]) ).
fof(f1153,plain,
! [X2,X0,X1] :
( ~ aElement0(sdtasdt0(sK9(X2,X1),sK9(X1,X0)))
| aElementOf0(X0,slsdtgt0(X2))
| ~ aElement0(X2)
| ~ aElement0(sK9(X1,X0))
| ~ aElementOf0(X1,slsdtgt0(X2))
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(forward_subsumption_resolution,[],[f1142,f249]) ).
fof(f1159,plain,
! [X0] :
( ~ aElement0(sdtasdt0(sK9(X0,sK4(slsdtgt0(X0))),sK6(slsdtgt0(X0))))
| ~ aElement0(X0)
| ~ aElementOf0(sK4(slsdtgt0(X0)),slsdtgt0(X0))
| ~ aSet0(slsdtgt0(X0))
| aElementOf0(sK5(slsdtgt0(X0)),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0))
| ~ aElement0(sK4(slsdtgt0(X0))) ),
inference(forward_subsumption_resolution,[],[f1132,f151]) ).
fof(f1163,plain,
! [X0] :
( ~ aElement0(sdtasdt0(sK9(X0,sK4(slsdtgt0(X0))),sK6(slsdtgt0(X0))))
| ~ aElement0(X0)
| ~ aElementOf0(sK4(slsdtgt0(X0)),slsdtgt0(X0))
| ~ aSet0(slsdtgt0(X0))
| aElementOf0(sK5(slsdtgt0(X0)),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0)) ),
inference(forward_subsumption_resolution,[],[f1159,f185]) ).
fof(f1167,plain,
! [X0] :
( ~ aElement0(sdtasdt0(sK9(X0,sK4(slsdtgt0(X0))),sK6(slsdtgt0(X0))))
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0))
| aElementOf0(sK5(slsdtgt0(X0)),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0)) ),
inference(forward_subsumption_resolution,[],[f1163,f150]) ).
fof(f1169,plain,
! [X0] :
( ~ aElement0(sdtasdt0(sK9(X0,sK4(slsdtgt0(X0))),sK6(slsdtgt0(X0))))
| ~ aElement0(X0)
| aElementOf0(sK5(slsdtgt0(X0)),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0)) ),
inference(forward_subsumption_resolution,[],[f1167,f226]) ).
fof(f1202,plain,
! [X2,X0,X1] :
( aElementOf0(X0,slsdtgt0(X1))
| ~ aElement0(X1)
| ~ aElement0(sK9(X2,X0))
| ~ aElementOf0(X2,slsdtgt0(X1))
| ~ aElementOf0(X0,slsdtgt0(X2))
| ~ aElement0(sK9(X1,X2))
| ~ aElement0(sK9(X2,X0)) ),
inference(resolution,[],[f1153,f211]) ).
fof(f1207,plain,
! [X2,X0,X1] :
( aElementOf0(X0,slsdtgt0(X1))
| ~ aElement0(X1)
| ~ aElement0(sK9(X2,X0))
| ~ aElementOf0(X2,slsdtgt0(X1))
| ~ aElementOf0(X0,slsdtgt0(X2))
| ~ aElement0(sK9(X1,X2)) ),
inference(duplicate_literal_removal,[],[f1202]) ).
fof(f1210,plain,
! [X2,X0,X1] :
( aElementOf0(X0,slsdtgt0(X1))
| ~ aElement0(X1)
| ~ aElement0(sK9(X2,X0))
| ~ aElementOf0(X2,slsdtgt0(X1))
| ~ aElementOf0(X0,slsdtgt0(X2)) ),
inference(forward_subsumption_resolution,[],[f1207,f229]) ).
fof(f1213,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(sK9(X1,sdtasdt0(sK6(slsdtgt0(X0)),sK4(slsdtgt0(X0)))))
| ~ aElementOf0(X1,slsdtgt0(X0))
| ~ aElementOf0(sdtasdt0(sK6(slsdtgt0(X0)),sK4(slsdtgt0(X0))),slsdtgt0(X1))
| ~ aSet0(slsdtgt0(X0))
| ~ aElementOf0(sdtpldt0(sK4(slsdtgt0(X0)),sK5(slsdtgt0(X0))),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0)) ),
inference(resolution,[],[f1210,f154]) ).
fof(f1229,plain,
! [X0,X1] :
( ~ aElementOf0(sdtasdt0(sK6(slsdtgt0(X0)),sK4(slsdtgt0(X0))),slsdtgt0(X1))
| ~ aElement0(sK9(X1,sdtasdt0(sK6(slsdtgt0(X0)),sK4(slsdtgt0(X0)))))
| ~ aElementOf0(X1,slsdtgt0(X0))
| ~ aElement0(X0)
| ~ aElementOf0(sdtpldt0(sK4(slsdtgt0(X0)),sK5(slsdtgt0(X0))),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0)) ),
inference(forward_subsumption_resolution,[],[f1213,f226]) ).
fof(f1251,plain,
! [X0] :
( ~ aElement0(sK9(sK4(slsdtgt0(X0)),sdtasdt0(sK6(slsdtgt0(X0)),sK4(slsdtgt0(X0)))))
| ~ aElementOf0(sK4(slsdtgt0(X0)),slsdtgt0(X0))
| ~ aElement0(X0)
| ~ aElementOf0(sdtpldt0(sK4(slsdtgt0(X0)),sK5(slsdtgt0(X0))),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0))
| ~ aElement0(sK6(slsdtgt0(X0)))
| ~ aElement0(sK4(slsdtgt0(X0))) ),
inference(resolution,[],[f1229,f264]) ).
fof(f1260,plain,
! [X0] :
( ~ aElementOf0(sK4(slsdtgt0(X0)),slsdtgt0(X0))
| ~ aElement0(X0)
| ~ aElementOf0(sdtpldt0(sK4(slsdtgt0(X0)),sK5(slsdtgt0(X0))),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0))
| ~ aElement0(sK6(slsdtgt0(X0)))
| ~ aElement0(sK4(slsdtgt0(X0))) ),
inference(forward_subsumption_resolution,[],[f1251,f279]) ).
fof(f1266,plain,
! [X0] :
( ~ aElementOf0(sK4(slsdtgt0(X0)),slsdtgt0(X0))
| ~ aElement0(X0)
| ~ aElementOf0(sdtpldt0(sK4(slsdtgt0(X0)),sK5(slsdtgt0(X0))),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0))
| ~ aElement0(sK6(slsdtgt0(X0))) ),
inference(forward_subsumption_resolution,[],[f1260,f249]) ).
fof(f1269,plain,
! [X0] :
( ~ aElementOf0(sdtpldt0(sK4(slsdtgt0(X0)),sK5(slsdtgt0(X0))),slsdtgt0(X0))
| ~ aElement0(X0)
| ~ aElementOf0(sK4(slsdtgt0(X0)),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0)) ),
inference(forward_subsumption_resolution,[],[f1266,f501]) ).
fof(f1284,plain,
! [X0] :
( ~ aElement0(X0)
| aElementOf0(sK5(slsdtgt0(X0)),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0))
| ~ aElement0(sK9(X0,sK4(slsdtgt0(X0))))
| ~ aElement0(sK6(slsdtgt0(X0))) ),
inference(resolution,[],[f1169,f211]) ).
fof(f1289,plain,
! [X0] :
( ~ aElement0(X0)
| aElementOf0(sK5(slsdtgt0(X0)),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0))
| ~ aElement0(sK6(slsdtgt0(X0))) ),
inference(forward_subsumption_resolution,[],[f1284,f244]) ).
fof(f1292,plain,
! [X0] :
( aElementOf0(sK5(slsdtgt0(X0)),slsdtgt0(X0))
| ~ aElement0(X0)
| aIdeal0(slsdtgt0(X0)) ),
inference(forward_subsumption_resolution,[],[f1289,f501]) ).
fof(f1312,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(sK4(slsdtgt0(X0)),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0)
| ~ aElementOf0(sK4(slsdtgt0(X0)),slsdtgt0(X0))
| ~ aElementOf0(sK5(slsdtgt0(X0)),slsdtgt0(X0)) ),
inference(resolution,[],[f1269,f485]) ).
fof(f1316,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(sK4(slsdtgt0(X0)),slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0))
| ~ aElementOf0(sK5(slsdtgt0(X0)),slsdtgt0(X0)) ),
inference(duplicate_literal_removal,[],[f1312]) ).
fof(f1317,plain,
! [X0] :
( ~ aElementOf0(sK4(slsdtgt0(X0)),slsdtgt0(X0))
| ~ aElement0(X0)
| aIdeal0(slsdtgt0(X0)) ),
inference(forward_subsumption_resolution,[],[f1316,f1292]) ).
fof(f1318,plain,
! [X0] :
( ~ aElement0(X0)
| aIdeal0(slsdtgt0(X0))
| ~ aSet0(slsdtgt0(X0))
| aIdeal0(slsdtgt0(X0)) ),
inference(resolution,[],[f1317,f150]) ).
fof(f1321,plain,
! [X0] :
( ~ aElement0(X0)
| aIdeal0(slsdtgt0(X0))
| ~ aSet0(slsdtgt0(X0)) ),
inference(duplicate_literal_removal,[],[f1318]) ).
fof(f1322,plain,
! [X0] :
( aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f1321,f226]) ).
fof(f1323,plain,
~ aElement0(xc),
inference(resolution,[],[f1322,f136]) ).
fof(f1324,plain,
$false,
inference(forward_subsumption_resolution,[],[f1323,f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG100+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 23:13:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.17/2.47 % (1880774)Detected formulas, will run a generic FOF schedule.
% 11.17/2.47 % (1880782)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=997854871:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.17/2.47 % (1880782)Refutation not found, incomplete strategy
% 11.17/2.47 % (1880782)------------------------------
% 11.17/2.47 % (1880782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880782)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880782)Termination reason: Refutation not found, incomplete strategy
% 11.17/2.47 % (1880782)Time elapsed: 0.001 s
% 11.17/2.47 % (1880782)Peak memory usage: 88 MB
% 11.17/2.47 % (1880782)Instructions burned: 1 (million)
% 11.17/2.47 % (1880779)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1956500016:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.17/2.47 % (1880783)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1299520910:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.17/2.47 % (1880785)dis-21_1_sil=8000:lcm=predicate:random_seed=1633372969:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.17/2.47 % (1880780)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=603053701:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.17/2.47 % (1880781)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2057539131:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.17/2.47 % (1880784)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3594691341:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.17/2.47 % (1880783)Instruction limit reached!
% 11.17/2.47 % (1880783)------------------------------
% 11.17/2.47 % (1880783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880783)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880783)Termination reason: Instruction limit
% 11.17/2.47 % (1880783)Termination phase: Saturation
% 11.17/2.47 % (1880783)Time elapsed: 0.066 s
% 11.17/2.47 % (1880783)Peak memory usage: 88 MB
% 11.17/2.47 % (1880783)Instructions burned: 121 (million)
% 11.17/2.47 % (1880785)Instruction limit reached!
% 11.17/2.47 % (1880785)------------------------------
% 11.17/2.47 % (1880785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880785)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880785)Termination reason: Instruction limit
% 11.17/2.47 % (1880785)Termination phase: Saturation
% 11.17/2.47 % (1880785)Time elapsed: 0.069 s
% 11.17/2.47 % (1880785)Peak memory usage: 89 MB
% 11.17/2.47 % (1880785)Instructions burned: 130 (million)
% 11.17/2.47 % (1880784)Instruction limit reached!
% 11.17/2.47 % (1880784)------------------------------
% 11.17/2.47 % (1880784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880784)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880784)Termination reason: Instruction limit
% 11.17/2.47 % (1880784)Termination phase: Saturation
% 11.17/2.47 % (1880784)Time elapsed: 0.088 s
% 11.17/2.47 % (1880784)Peak memory usage: 90 MB
% 11.17/2.47 % (1880784)Instructions burned: 141 (million)
% 11.17/2.47 % (1880782)------------------------------
% 11.17/2.47 % (1880782)------------------------------
% 11.17/2.47 % (1880793)lrs+10_1_sil=8000:sp=occurrence:random_seed=2978064350:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.17/2.47 % (1880794)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2934993590:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.17/2.47 % (1880796)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1601313014:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.17/2.47 % (1880795)lrs+1011_1_sil=32000:sp=occurrence:random_seed=618550846:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.17/2.47 % (1880796)Instruction limit reached!
% 11.17/2.47 % (1880796)------------------------------
% 11.17/2.47 % (1880796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880796)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880796)Termination reason: Instruction limit
% 11.17/2.47 % (1880796)Termination phase: Saturation
% 11.17/2.47 % (1880796)Time elapsed: 0.064 s
% 11.17/2.47 % (1880796)Peak memory usage: 94 MB
% 11.17/2.47 % (1880796)Instructions burned: 251 (million)
% 11.17/2.47 % (1880794)Instruction limit reached!
% 11.17/2.47 % (1880794)------------------------------
% 11.17/2.47 % (1880794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880794)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880794)Termination reason: Instruction limit
% 11.17/2.47 % (1880794)Termination phase: Saturation
% 11.17/2.47 % (1880794)Time elapsed: 0.082 s
% 11.17/2.47 % (1880794)Peak memory usage: 90 MB
% 11.17/2.47 % (1880794)Instructions burned: 158 (million)
% 11.17/2.47 % (1880793)Instruction limit reached!
% 11.17/2.47 % (1880793)------------------------------
% 11.17/2.47 % (1880793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880793)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880793)Termination reason: Instruction limit
% 11.17/2.47 % (1880793)Termination phase: Saturation
% 11.17/2.47 % (1880793)Time elapsed: 0.168 s
% 11.17/2.47 % (1880793)Peak memory usage: 92 MB
% 11.17/2.47 % (1880793)Instructions burned: 286 (million)
% 11.17/2.47 % (1880801)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1045683505:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.17/2.47 % (1880801)Refutation not found, incomplete strategy
% 11.17/2.47 % (1880801)------------------------------
% 11.17/2.47 % (1880801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880801)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880801)Termination reason: Refutation not found, incomplete strategy
% 11.17/2.47 % (1880801)Time elapsed: 0.002 s
% 11.17/2.47 % (1880801)Peak memory usage: 88 MB
% 11.17/2.47 % (1880801)Instructions burned: 4 (million)
% 11.17/2.47 % (1880795)Instruction limit reached!
% 11.17/2.47 % (1880795)------------------------------
% 11.17/2.47 % (1880795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880795)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880795)Termination reason: Instruction limit
% 11.17/2.47 % (1880795)Termination phase: Saturation
% 11.17/2.47 % (1880795)Time elapsed: 0.192 s
% 11.17/2.47 % (1880795)Peak memory usage: 93 MB
% 11.17/2.47 % (1880795)Instructions burned: 325 (million)
% 11.17/2.47 % (1880802)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3386248193:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 11.17/2.47 % (1880801)------------------------------
% 11.17/2.47 % (1880801)------------------------------
% 11.17/2.47 % (1880803)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1833770726:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.17/2.47 % (1880805)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3869256016:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 11.17/2.47 % (1880803)Instruction limit reached!
% 11.17/2.47 % (1880803)------------------------------
% 11.17/2.47 % (1880803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880803)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880803)Termination reason: Instruction limit
% 11.17/2.47 % (1880803)Termination phase: Saturation
% 11.17/2.47 % (1880803)Time elapsed: 0.076 s
% 11.17/2.47 % (1880803)Peak memory usage: 90 MB
% 11.17/2.47 % (1880803)Instructions burned: 114 (million)
% 11.17/2.47 % (1880805)Instruction limit reached!
% 11.17/2.47 % (1880805)------------------------------
% 11.17/2.47 % (1880805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880805)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880805)Termination reason: Instruction limit
% 11.17/2.47 % (1880805)Termination phase: Saturation
% 11.17/2.47 % (1880805)Time elapsed: 0.065 s
% 11.17/2.47 % (1880805)Peak memory usage: 89 MB
% 11.17/2.47 % (1880805)Instructions burned: 127 (million)
% 11.17/2.47 % (1880808)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1909089388:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.17/2.47 % (1880808)Instruction limit reached!
% 11.17/2.47 % (1880808)------------------------------
% 11.17/2.47 % (1880808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880808)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880808)Termination reason: Instruction limit
% 11.17/2.47 % (1880808)Termination phase: Saturation
% 11.17/2.47 % (1880808)Time elapsed: 0.038 s
% 11.17/2.47 % (1880808)Peak memory usage: 89 MB
% 11.17/2.47 % (1880808)Instructions burned: 116 (million)
% 11.17/2.47 % (1880810)lrs+10_1_sil=8000:sp=occurrence:random_seed=255861567:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.17/2.47 % (1880811)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3439724559:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.17/2.47 % (1880811)Refutation not found, incomplete strategy
% 11.17/2.47 % (1880811)------------------------------
% 11.17/2.47 % (1880811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880811)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880811)Termination reason: Refutation not found, incomplete strategy
% 11.17/2.47 % (1880811)Time elapsed: 0.004 s
% 11.17/2.47 % (1880811)Peak memory usage: 88 MB
% 11.17/2.47 % (1880811)Instructions burned: 5 (million)
% 11.17/2.47 % (1880813)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1776021384:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 11.17/2.47 % (1880811)------------------------------
% 11.17/2.47 % (1880811)------------------------------
% 11.17/2.47 % (1880817)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1358664952:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 11.17/2.47 % (1880813)First to succeed.
% 11.17/2.47 % (1880813)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1880774"
% 11.17/2.47 % (1880810)Instruction limit reached!
% 11.17/2.47 % (1880810)------------------------------
% 11.17/2.47 % (1880810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880810)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880810)Termination reason: Instruction limit
% 11.17/2.47 % (1880810)Termination phase: Saturation
% 11.17/2.47 % (1880810)Time elapsed: 0.496 s
% 11.17/2.47 % (1880810)Peak memory usage: 101 MB
% 11.17/2.47 % (1880810)Instructions burned: 907 (million)
% 11.17/2.47 % (1880817)Instruction limit reached!
% 11.17/2.47 % (1880817)------------------------------
% 11.17/2.47 % (1880817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.47 % (1880817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.47 % (1880817)CaDiCaL version: 2.1.3
% 11.17/2.47 % (1880817)Termination reason: Instruction limit
% 11.17/2.47 % (1880817)Termination phase: Saturation
% 11.17/2.47 % (1880817)Time elapsed: 0.065 s
% 11.17/2.47 % (1880817)Peak memory usage: 91 MB
% 11.17/2.47 % (1880817)Instructions burned: 136 (million)
% 11.17/2.47 % (1880813)Refutation found. Thanks to Tanya!
% 11.17/2.47 % SZS status Theorem for theBenchmark
% 11.17/2.47 % SZS output start Proof for theBenchmark
% See solution above
% 11.98/2.67 % (1880813)------------------------------
% 11.98/2.67 % (1880813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.67 % (1880813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.67 % (1880813)CaDiCaL version: 2.1.3
% 11.98/2.67 % (1880813)Termination reason: Refutation
% 11.98/2.67 % (1880813)Time elapsed: 0.444 s
% 11.98/2.67 % (1880813)Peak memory usage: 131 MB
% 11.98/2.67 % (1880813)Instructions burned: 1179 (million)
% 11.98/2.67 % (1880813)------------------------------
% 11.98/2.67 % (1880813)------------------------------
% 11.98/2.67 % (1880774)Success in time 1.613 s
% 11.98/2.67 % Vampire exiting
%------------------------------------------------------------------------------