%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG097+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:35:30 PM UTC 2026
% Result : Theorem 19.50s 3.63s
% Output : Refutation 21.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 124 ( 25 unt; 5 def)
% Number of atoms : 391 ( 53 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 474 ( 207 ~; 196 |; 48 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn 109 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
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/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f28,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205) ).
fof(f30,axiom,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1217) ).
fof(f31,axiom,
( aElementOf0(xa,xI)
& aElementOf0(xb,xJ)
& sdtpldt0(xa,xb) = sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1294) ).
fof(f34,conjecture,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f35,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f36,plain,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(flattening,[],[f35]) ).
fof(f37,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(f48,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,[],[f37]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f56,plain,
! [X0] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f58,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(f59,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,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f61,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f62,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f63,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f65,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f64]) ).
fof(f77,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f82,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,[],[f48]) ).
fof(f83,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,[],[f82]) ).
fof(f84,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,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ( ( ( ~ aElementOf0(sdtpldt0(sK2(X0),sK3(X0)),X0)
& aElementOf0(sK3(X0),X0) )
| ( ~ aElementOf0(sdtasdt0(sK4(X0),sK2(X0)),X0)
& aElement0(sK4(X0)) ) )
& aElementOf0(sK2(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,[sK2,sK3,sK4]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0)),skolemize(X3,sK4(X0))],[f84]) ).
fof(f97,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f98,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f28]) ).
fof(f101,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f102,plain,
sz10 = sdtpldt0(xa,xb),
inference(cnf_transformation,[],[f31]) ).
fof(f103,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f31]) ).
fof(f104,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f31]) ).
fof(f107,plain,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(cnf_transformation,[],[f36]) ).
fof(f112,plain,
! [X0,X6,X4] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f114,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f143,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f145,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f146,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f149,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f153,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f154,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f156,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f157,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f165,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f173,plain,
( ~ aElement0(xx)
| ~ aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI)
| ~ aIdeal0(xI) ),
inference(resolution,[],[f112,f107]) ).
fof(f174,plain,
( ~ aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI)
| ~ aIdeal0(xI) ),
inference(forward_subsumption_resolution,[],[f173,f101]) ).
fof(f175,plain,
~ aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI),
inference(forward_subsumption_resolution,[],[f174,f98]) ).
fof(f189,definition,
( spl13_1
<=> aElement0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f190,plain,
( aElement0(smndt0(sz10))
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( ~ aElement0(smndt0(sz10))
| spl13_1 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f201,plain,
( ~ aElement0(sz10)
| spl13_1 ),
inference(resolution,[],[f191,f165]) ).
fof(f202,plain,
( $false
| spl13_1 ),
inference(forward_subsumption_resolution,[],[f201,f149]) ).
fof(f203,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f207,plain,
! [X0,X1] :
( aElementOf0(smndt0(X0),X1)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(X0,X1)
| ~ aIdeal0(X1)
| ~ aElement0(X0) ),
inference(superposition,[],[f112,f146]) ).
fof(f211,plain,
( ! [X0,X1] :
( aElementOf0(smndt0(X0),X1)
| ~ aElementOf0(X0,X1)
| ~ aIdeal0(X1)
| ~ aElement0(X0) )
| ~ spl13_1 ),
inference(forward_subsumption_resolution,[],[f207,f190]) ).
fof(f336,definition,
( spl13_8
<=> aElement0(xb) ),
introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).
fof(f337,plain,
( aElement0(xb)
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f338,plain,
( ~ aElement0(xb)
| spl13_8 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f392,definition,
( spl13_14
<=> aElement0(xa) ),
introduced(definition,[new_symbols(definition,[spl13_14])],[avatar_definition]) ).
fof(f393,plain,
( aElement0(xa)
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f394,plain,
( ~ aElement0(xa)
| spl13_14 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f407,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X1,X0),smndt0(sz10)) = sdtpldt0(sdtasdt0(X1,smndt0(sz10)),smndt0(X0))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X0) ),
inference(superposition,[],[f150,f145]) ).
fof(f423,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X1,X0),smndt0(sz10)) = sdtpldt0(sdtasdt0(X1,smndt0(sz10)),smndt0(X0))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f407]) ).
fof(f432,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X1,X0),smndt0(sz10)) = sdtpldt0(sdtasdt0(X1,smndt0(sz10)),smndt0(X0))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl13_1 ),
inference(forward_subsumption_resolution,[],[f423,f190]) ).
fof(f520,plain,
aSet0(xI),
inference(resolution,[],[f114,f98]) ).
fof(f524,plain,
! [X0,X1] :
( sdtpldt0(sz00,X1) = sdtpldt0(X0,sdtpldt0(smndt0(X0),X1))
| ~ aElement0(X0)
| ~ aElement0(smndt0(X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[],[f156,f153]) ).
fof(f531,plain,
! [X0,X1] :
( sdtpldt0(sz00,X1) = sdtpldt0(X0,sdtpldt0(smndt0(X0),X1))
| ~ aElement0(X0)
| ~ aElement0(smndt0(X0))
| ~ aElement0(X1) ),
inference(duplicate_literal_removal,[],[f524]) ).
fof(f535,plain,
! [X0,X1] :
( sdtpldt0(sz00,X1) = sdtpldt0(X0,sdtpldt0(smndt0(X0),X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(forward_subsumption_resolution,[],[f531,f165]) ).
fof(f702,plain,
! [X0,X1] :
( sdtpldt0(sz00,X0) = sdtpldt0(X1,sdtpldt0(X0,smndt0(X1)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X0)
| ~ aElement0(smndt0(X1)) ),
inference(superposition,[],[f535,f157]) ).
fof(f713,plain,
! [X0,X1] :
( sdtpldt0(sz00,X0) = sdtpldt0(X1,sdtpldt0(X0,smndt0(X1)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(X1)) ),
inference(duplicate_literal_removal,[],[f702]) ).
fof(f737,plain,
! [X0,X1] :
( sdtpldt0(sz00,X0) = sdtpldt0(X1,sdtpldt0(X0,smndt0(X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f713,f165]) ).
fof(f826,plain,
( ! [X0,X1] :
( sdtpldt0(smndt0(X0),smndt0(X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl13_1 ),
inference(superposition,[],[f432,f145]) ).
fof(f855,plain,
( ! [X0,X1] :
( sdtpldt0(smndt0(X0),smndt0(X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl13_1 ),
inference(duplicate_literal_removal,[],[f826]) ).
fof(f884,plain,
( sdtpldt0(smndt0(xa),smndt0(xb)) = sdtasdt0(sz10,smndt0(sz10))
| ~ aElement0(xa)
| ~ aElement0(xb)
| ~ spl13_1 ),
inference(superposition,[],[f855,f102]) ).
fof(f1466,plain,
aSet0(xJ),
inference(resolution,[],[f97,f114]) ).
fof(f2246,plain,
( aElement0(xa)
| ~ aSet0(xI) ),
inference(resolution,[],[f143,f104]) ).
fof(f2247,plain,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(resolution,[],[f143,f103]) ).
fof(f2248,plain,
( ~ aSet0(xJ)
| spl13_8 ),
inference(forward_subsumption_resolution,[],[f2247,f338]) ).
fof(f2249,plain,
( ~ aSet0(xI)
| spl13_14 ),
inference(forward_subsumption_resolution,[],[f2246,f394]) ).
fof(f2253,plain,
( $false
| spl13_8 ),
inference(forward_subsumption_resolution,[],[f2248,f1466]) ).
fof(f2254,plain,
spl13_8,
inference(avatar_contradiction_clause,[],[f2253]) ).
fof(f2255,plain,
( $false
| spl13_14 ),
inference(forward_subsumption_resolution,[],[f2249,f520]) ).
fof(f2256,plain,
spl13_14,
inference(avatar_contradiction_clause,[],[f2255]) ).
fof(f2260,plain,
( sdtpldt0(smndt0(xa),smndt0(xb)) = sdtasdt0(sz10,smndt0(sz10))
| ~ aElement0(xb)
| ~ spl13_1
| ~ spl13_14 ),
inference(forward_subsumption_resolution,[],[f884,f393]) ).
fof(f2281,plain,
( sdtpldt0(smndt0(xa),smndt0(xb)) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl13_1
| ~ spl13_8
| ~ spl13_14 ),
inference(forward_subsumption_resolution,[],[f2260,f337]) ).
fof(f2464,definition,
( spl13_40
<=> aElement0(smndt0(xa)) ),
introduced(definition,[new_symbols(definition,[spl13_40])],[avatar_definition]) ).
fof(f2465,plain,
( aElement0(smndt0(xa))
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f2464]) ).
fof(f2466,plain,
( ~ aElement0(smndt0(xa))
| spl13_40 ),
inference(avatar_component_clause,[],[f2464]) ).
fof(f2549,plain,
( sdtpldt0(sz00,smndt0(xa)) = sdtpldt0(xb,sdtasdt0(sz10,smndt0(sz10)))
| ~ aElement0(xb)
| ~ aElement0(smndt0(xa))
| ~ spl13_1
| ~ spl13_8
| ~ spl13_14 ),
inference(superposition,[],[f737,f2281]) ).
fof(f2617,plain,
( sdtpldt0(sz00,smndt0(xa)) = sdtpldt0(xb,sdtasdt0(sz10,smndt0(sz10)))
| ~ aElement0(smndt0(xa))
| ~ spl13_1
| ~ spl13_8
| ~ spl13_14 ),
inference(forward_subsumption_resolution,[],[f2549,f337]) ).
fof(f2620,definition,
( spl13_57
<=> sdtpldt0(sz00,smndt0(xa)) = sdtpldt0(xb,sdtasdt0(sz10,smndt0(sz10))) ),
introduced(definition,[new_symbols(definition,[spl13_57])],[avatar_definition]) ).
fof(f2622,plain,
( sdtpldt0(sz00,smndt0(xa)) = sdtpldt0(xb,sdtasdt0(sz10,smndt0(sz10)))
| ~ spl13_57 ),
inference(avatar_component_clause,[],[f2620]) ).
fof(f2623,plain,
( ~ spl13_40
| spl13_57
| ~ spl13_1
| ~ spl13_8
| ~ spl13_14 ),
inference(avatar_split_clause,[],[f2617,f392,f336,f189,f2620,f2464]) ).
fof(f2629,plain,
( ~ aElement0(xa)
| spl13_40 ),
inference(resolution,[],[f2466,f165]) ).
fof(f2630,plain,
( $false
| ~ spl13_14
| spl13_40 ),
inference(forward_subsumption_resolution,[],[f2629,f393]) ).
fof(f2631,plain,
( ~ spl13_14
| spl13_40 ),
inference(avatar_contradiction_clause,[],[f2630]) ).
fof(f5136,plain,
( sdtpldt0(xb,smndt0(sz10)) = sdtpldt0(sz00,smndt0(xa))
| ~ aElement0(sz10)
| ~ spl13_57 ),
inference(superposition,[],[f2622,f145]) ).
fof(f5174,plain,
( sdtpldt0(xb,smndt0(sz10)) = sdtpldt0(sz00,smndt0(xa))
| ~ spl13_57 ),
inference(forward_subsumption_resolution,[],[f5136,f149]) ).
fof(f5188,plain,
( ~ aElementOf0(sdtpldt0(sz00,smndt0(xa)),xI)
| ~ spl13_57 ),
inference(superposition,[],[f175,f5174]) ).
fof(f9277,plain,
( ~ aElementOf0(smndt0(xa),xI)
| ~ aElement0(smndt0(xa))
| ~ spl13_57 ),
inference(superposition,[],[f5188,f154]) ).
fof(f9354,plain,
( ~ aElementOf0(smndt0(xa),xI)
| ~ spl13_40
| ~ spl13_57 ),
inference(forward_subsumption_resolution,[],[f9277,f2465]) ).
fof(f9377,plain,
( ~ aElementOf0(xa,xI)
| ~ aIdeal0(xI)
| ~ aElement0(xa)
| ~ spl13_1
| ~ spl13_40
| ~ spl13_57 ),
inference(resolution,[],[f9354,f211]) ).
fof(f9379,plain,
( ~ aIdeal0(xI)
| ~ aElement0(xa)
| ~ spl13_1
| ~ spl13_40
| ~ spl13_57 ),
inference(forward_subsumption_resolution,[],[f9377,f104]) ).
fof(f9380,plain,
( ~ aElement0(xa)
| ~ spl13_1
| ~ spl13_40
| ~ spl13_57 ),
inference(forward_subsumption_resolution,[],[f9379,f98]) ).
fof(f9381,plain,
( $false
| ~ spl13_1
| ~ spl13_14
| ~ spl13_40
| ~ spl13_57 ),
inference(forward_subsumption_resolution,[],[f9380,f393]) ).
fof(f9382,plain,
( ~ spl13_1
| ~ spl13_14
| ~ spl13_40
| ~ spl13_57 ),
inference(avatar_contradiction_clause,[],[f9381]) ).
cnf(s3,plain,
spl13_1,
inference(sat_conversion,[],[f203]) ).
cnf(s27,plain,
spl13_8,
inference(sat_conversion,[],[f2254]) ).
cnf(s28,plain,
spl13_14,
inference(sat_conversion,[],[f2256]) ).
cnf(s58,plain,
( ~ spl13_1
| ~ spl13_8
| ~ spl13_14
| ~ spl13_40
| spl13_57 ),
inference(sat_conversion,[],[f2623]) ).
cnf(s60,plain,
( ~ spl13_14
| spl13_40 ),
inference(sat_conversion,[],[f2631]) ).
cnf(s225,plain,
( ~ spl13_1
| ~ spl13_14
| ~ spl13_40
| ~ spl13_57 ),
inference(sat_conversion,[],[f9382]) ).
cnf(s238,plain,
spl13_40,
inference(rat,[],[s60,s28]) ).
cnf(s301,plain,
~ spl13_57,
inference(rat,[],[s225,s238,s28,s3]) ).
cnf(s311,plain,
$false,
inference(rat,[],[s58,s27,s238,s28,s301,s3]) ).
fof(f9383,plain,
$false,
inference(avatar_sat_refutation,[],[s311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG097+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 23:19:47 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.60/2.33 % (3101839)Detected formulas, will run a generic FOF schedule.
% 11.60/2.33 % (3101849)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3605818158:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.60/2.33 % (3101850)dis-21_1_sil=8000:lcm=predicate:random_seed=735985717: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)
% 11.60/2.33 % (3101848)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1932032342:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.60/2.33 % (3101846)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=1727525847:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.60/2.33 % (3101847)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=672236587:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.60/2.33 % (3101845)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=3074795896:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.60/2.33 % (3101844)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=2092038268:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.60/2.33 % (3101847)Refutation not found, incomplete strategy
% 11.60/2.33 % (3101847)------------------------------
% 11.60/2.33 % (3101847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.33 % (3101847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.33 % (3101847)CaDiCaL version: 2.1.3
% 11.60/2.33 % (3101847)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.33 % (3101847)Time elapsed: 0.013 s
% 11.60/2.33 % (3101847)Peak memory usage: 88 MB
% 11.60/2.33 % (3101847)Instructions burned: 15 (million)
% 11.60/2.33 % (3101848)Instruction limit reached!
% 11.60/2.33 % (3101848)------------------------------
% 11.60/2.33 % (3101848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.33 % (3101848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.33 % (3101848)CaDiCaL version: 2.1.3
% 11.60/2.33 % (3101848)Termination reason: Instruction limit
% 11.60/2.33 % (3101848)Termination phase: Saturation
% 11.60/2.33 % (3101848)Time elapsed: 0.071 s
% 11.60/2.33 % (3101848)Peak memory usage: 89 MB
% 11.60/2.33 % (3101848)Instructions burned: 120 (million)
% 11.60/2.33 % (3101850)Instruction limit reached!
% 11.60/2.33 % (3101850)------------------------------
% 11.60/2.33 % (3101850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.33 % (3101850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.33 % (3101850)CaDiCaL version: 2.1.3
% 11.60/2.33 % (3101850)Termination reason: Instruction limit
% 11.60/2.33 % (3101850)Termination phase: Saturation
% 11.60/2.33 % (3101850)Time elapsed: 0.072 s
% 11.60/2.33 % (3101850)Peak memory usage: 89 MB
% 11.60/2.33 % (3101850)Instructions burned: 130 (million)
% 11.60/2.33 % (3101849)Instruction limit reached!
% 11.60/2.33 % (3101849)------------------------------
% 11.60/2.33 % (3101849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.33 % (3101849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.33 % (3101849)CaDiCaL version: 2.1.3
% 11.60/2.33 % (3101849)Termination reason: Instruction limit
% 11.60/2.33 % (3101849)Termination phase: Saturation
% 11.60/2.33 % (3101849)Time elapsed: 0.088 s
% 11.60/2.33 % (3101849)Peak memory usage: 90 MB
% 11.60/2.33 % (3101849)Instructions burned: 140 (million)
% 11.60/2.33 % (3101858)lrs+10_1_sil=8000:sp=occurrence:random_seed=2734400576:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.60/2.33 % (3101859)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3034890626:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.60/2.33 % (3101860)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2389713107:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.60/2.33 % (3101847)------------------------------
% 11.60/2.33 % (3101847)------------------------------
% 11.60/2.33 % (3101859)Instruction limit reached!
% 11.60/2.33 % (3101859)------------------------------
% 11.60/2.33 % (3101859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.92 % (3101859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.92 % (3101859)CaDiCaL version: 2.1.3
% 15.21/2.92 % (3101859)Termination reason: Instruction limit
% 15.21/2.92 % (3101859)Termination phase: Saturation
% 15.21/2.92 % (3101859)Time elapsed: 0.076 s
% 15.21/2.92 % (3101859)Peak memory usage: 92 MB
% 15.21/2.92 % (3101859)Instructions burned: 158 (million)
% 15.21/2.92 % (3101860)Instruction limit reached!
% 15.21/2.92 % (3101860)------------------------------
% 15.21/2.92 % (3101860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.92 % (3101860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.92 % (3101860)CaDiCaL version: 2.1.3
% 15.21/2.92 % (3101860)Termination reason: Instruction limit
% 15.21/2.92 % (3101860)Termination phase: Saturation
% 15.21/2.92 % (3101860)Time elapsed: 0.109 s
% 15.21/2.92 % (3101860)Peak memory usage: 94 MB
% 15.21/2.92 % (3101860)Instructions burned: 326 (million)
% 15.21/2.92 % (3101858)Instruction limit reached!
% 15.21/2.92 % (3101858)------------------------------
% 15.21/2.92 % (3101858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.92 % (3101858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.92 % (3101858)CaDiCaL version: 2.1.3
% 15.21/2.92 % (3101858)Termination reason: Instruction limit
% 15.21/2.92 % (3101858)Termination phase: Saturation
% 15.21/2.92 % (3101858)Time elapsed: 0.169 s
% 15.21/2.92 % (3101858)Peak memory usage: 92 MB
% 15.21/2.92 % (3101858)Instructions burned: 286 (million)
% 15.21/2.92 % (3101864)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=2614277390:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 15.21/2.92 % (3101866)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3579873683:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 15.21/2.92 % (3101865)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=287982078:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.21/2.92 % (3101867)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=84887458:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 15.21/2.92 % (3101864)Instruction limit reached!
% 15.21/2.92 % (3101864)------------------------------
% 15.21/2.92 % (3101864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.92 % (3101864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.92 % (3101864)CaDiCaL version: 2.1.3
% 15.21/2.92 % (3101864)Termination reason: Instruction limit
% 15.21/2.92 % (3101864)Termination phase: Saturation
% 15.21/2.92 % (3101864)Time elapsed: 0.118 s
% 15.21/2.92 % (3101864)Peak memory usage: 94 MB
% 15.21/2.92 % (3101864)Instructions burned: 249 (million)
% 15.21/2.92 % (3101865)Instruction limit reached!
% 15.21/2.92 % (3101865)------------------------------
% 15.21/2.92 % (3101865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.92 % (3101865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.92 % (3101865)CaDiCaL version: 2.1.3
% 15.21/2.92 % (3101865)Termination reason: Instruction limit
% 15.21/2.92 % (3101865)Termination phase: Saturation
% 15.21/2.92 % (3101865)Time elapsed: 0.168 s
% 15.21/2.92 % (3101865)Peak memory usage: 91 MB
% 15.21/2.92 % (3101865)Instructions burned: 295 (million)
% 15.21/2.92 % (3101867)Instruction limit reached!
% 15.21/2.92 % (3101867)------------------------------
% 15.21/2.92 % (3101867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.92 % (3101867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.92 % (3101867)CaDiCaL version: 2.1.3
% 15.21/2.92 % (3101867)Termination reason: Instruction limit
% 15.21/2.92 % (3101867)Termination phase: Saturation
% 15.21/2.92 % (3101867)Time elapsed: 0.079 s
% 15.21/2.92 % (3101867)Peak memory usage: 91 MB
% 15.21/2.92 % (3101867)Instructions burned: 114 (million)
% 15.21/2.92 % (3101872)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1234923926:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 15.21/2.92 % (3101874)lrs+10_1_sil=8000:sp=occurrence:random_seed=1863541147:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 15.21/2.92 % (3101873)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3327968096:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 19.50/3.63 % (3101873)Refutation not found, incomplete strategy
% 19.50/3.63 % (3101873)------------------------------
% 19.50/3.63 % (3101873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.63 % (3101873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.63 % (3101873)CaDiCaL version: 2.1.3
% 19.50/3.63 % (3101873)Termination reason: Refutation not found, incomplete strategy
% 19.50/3.63 % (3101873)Time elapsed: 0.001 s
% 19.50/3.63 % (3101873)Peak memory usage: 88 MB
% 19.50/3.63 % (3101873)Instructions burned: 1 (million)
% 19.50/3.63 % (3101872)Instruction limit reached!
% 19.50/3.63 % (3101872)------------------------------
% 19.50/3.63 % (3101872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.63 % (3101872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.63 % (3101872)CaDiCaL version: 2.1.3
% 19.50/3.63 % (3101872)Termination reason: Instruction limit
% 19.50/3.63 % (3101872)Termination phase: Saturation
% 19.50/3.63 % (3101872)Time elapsed: 0.066 s
% 19.50/3.63 % (3101872)Peak memory usage: 89 MB
% 19.50/3.63 % (3101872)Instructions burned: 128 (million)
% 19.50/3.63 % (3101878)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3078629380:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 19.50/3.63 % (3101873)------------------------------
% 19.50/3.63 % (3101873)------------------------------
% 19.50/3.63 % (3101880)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1924151822:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 19.50/3.63 % (3101878)Instruction limit reached!
% 19.50/3.63 % (3101878)------------------------------
% 19.50/3.63 % (3101878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.63 % (3101878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.63 % (3101878)CaDiCaL version: 2.1.3
% 19.50/3.63 % (3101878)Termination reason: Instruction limit
% 19.50/3.63 % (3101878)Termination phase: Saturation
% 19.50/3.63 % (3101878)Time elapsed: 0.270 s
% 19.50/3.63 % (3101878)Peak memory usage: 94 MB
% 19.50/3.63 % (3101878)Instructions burned: 439 (million)
% 19.50/3.63 % (3101866)Instruction limit reached!
% 19.50/3.63 % (3101866)------------------------------
% 19.50/3.63 % (3101866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.63 % (3101866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.63 % (3101866)CaDiCaL version: 2.1.3
% 19.50/3.63 % (3101866)Termination reason: Instruction limit
% 19.50/3.63 % (3101866)Termination phase: Saturation
% 19.50/3.63 % (3101866)Time elapsed: 0.821 s
% 19.50/3.63 % (3101866)Peak memory usage: 144 MB
% 19.50/3.63 % (3101866)Instructions burned: 2351 (million)
% 19.50/3.63 % (3101874)Instruction limit reached!
% 19.50/3.63 % (3101874)------------------------------
% 19.50/3.63 % (3101874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.63 % (3101874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.63 % (3101874)CaDiCaL version: 2.1.3
% 19.50/3.63 % (3101874)Termination reason: Instruction limit
% 19.50/3.63 % (3101874)Termination phase: Saturation
% 19.50/3.63 % (3101874)Time elapsed: 0.516 s
% 19.50/3.63 % (3101874)Peak memory usage: 102 MB
% 19.50/3.63 % (3101874)Instructions burned: 907 (million)
% 19.50/3.63 % (3101883)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1223866244:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 19.50/3.63 % (3101882)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=528274476:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 19.50/3.63 % (3101884)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2482797551:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 19.50/3.63 % (3101882)Instruction limit reached!
% 19.50/3.63 % (3101882)------------------------------
% 19.50/3.63 % (3101882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.63 % (3101882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.63 % (3101882)CaDiCaL version: 2.1.3
% 19.50/3.63 % (3101882)Termination reason: Instruction limit
% 19.50/3.63 % (3101882)Termination phase: Saturation
% 19.50/3.63 % (3101882)Time elapsed: 0.061 s
% 19.50/3.63 % (3101882)Peak memory usage: 90 MB
% 19.50/3.63 % (3101882)Instructions burned: 135 (million)
% 19.50/3.63 % (3101883)Instruction limit reached!
% 19.50/3.63 % (3101883)------------------------------
% 19.50/3.63 % (3101883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.63 % (3101883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.63 % (3101883)CaDiCaL version: 2.1.3
% 19.50/3.63 % (3101883)Termination reason: Instruction limit
% 19.50/3.63 % (3101883)Termination phase: Saturation
% 19.50/3.63 % (3101883)Time elapsed: 0.173 s
% 19.50/3.63 % (3101883)Peak memory usage: 96 MB
% 19.50/3.63 % (3101883)Instructions burned: 594 (million)
% 19.50/3.63 % (3101888)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3301947132:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 19.50/3.63 % (3101888)Instruction limit reached!
% 19.50/3.63 % (3101888)------------------------------
% 19.50/3.63 % (3101888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.63 % (3101888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.63 % (3101888)CaDiCaL version: 2.1.3
% 19.50/3.63 % (3101888)Termination reason: Instruction limit
% 19.50/3.63 % (3101888)Termination phase: Saturation
% 19.50/3.63 % (3101888)Time elapsed: 0.071 s
% 19.50/3.63 % (3101888)Peak memory usage: 91 MB
% 19.50/3.63 % (3101888)Instructions burned: 126 (million)
% 19.50/3.63 % (3101889)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4017311571:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 19.50/3.63 % (3101889)Instruction limit reached!
% 19.50/3.63 % (3101889)------------------------------
% 19.50/3.63 % (3101889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.63 % (3101889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.63 % (3101889)CaDiCaL version: 2.1.3
% 19.50/3.63 % (3101889)Termination reason: Instruction limit
% 19.50/3.63 % (3101889)Termination phase: Saturation
% 19.50/3.63 % (3101889)Time elapsed: 0.041 s
% 19.50/3.63 % (3101889)Peak memory usage: 90 MB
% 19.50/3.63 % (3101889)Instructions burned: 136 (million)
% 19.50/3.63 % (3101892)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4250295803:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 19.50/3.63 % (3101893)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1200233289:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 19.50/3.63 % (3101892)Instruction limit reached!
% 19.50/3.63 % (3101892)------------------------------
% 19.50/3.63 % (3101892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.63 % (3101892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.63 % (3101892)CaDiCaL version: 2.1.3
% 19.50/3.63 % (3101892)Termination reason: Instruction limit
% 19.50/3.63 % (3101892)Termination phase: Saturation
% 19.50/3.63 % (3101892)Time elapsed: 0.084 s
% 19.50/3.63 % (3101892)Peak memory usage: 91 MB
% 19.50/3.63 % (3101892)Instructions burned: 142 (million)
% 19.50/3.63 % (3101893)Instruction limit reached!
% 19.50/3.63 % (3101893)------------------------------
% 19.50/3.63 % (3101893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.63 % (3101893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.63 % (3101893)CaDiCaL version: 2.1.3
% 19.50/3.63 % (3101893)Termination reason: Instruction limit
% 19.50/3.63 % (3101893)Termination phase: Saturation
% 19.50/3.63 % (3101893)Time elapsed: 0.133 s
% 19.50/3.63 % (3101893)Peak memory usage: 94 MB
% 19.50/3.63 % (3101893)Instructions burned: 435 (million)
% 19.50/3.63 % (3101896)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1720378405:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 19.50/3.63 % (3101897)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2290179119:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 19.50/3.63 % (3101897)Instruction limit reached!
% 19.50/3.63 % (3101897)------------------------------
% 19.50/3.63 % (3101897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.63 % (3101897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.63 % (3101897)CaDiCaL version: 2.1.3
% 19.50/3.63 % (3101897)Termination reason: Instruction limit
% 19.50/3.63 % (3101897)Termination phase: Saturation
% 19.50/3.63 % (3101897)Time elapsed: 0.045 s
% 19.50/3.63 % (3101897)Peak memory usage: 92 MB
% 19.50/3.63 % (3101897)Instructions burned: 152 (million)
% 19.50/3.63 % (3101900)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1623904479:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 19.50/3.63 % (3101880)First to succeed.
% 19.50/3.63 % (3101880)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3101839"
% 19.50/3.63 % (3101880)Refutation found. Thanks to Tanya!
% 19.50/3.63 % SZS status Theorem for theBenchmark
% 19.50/3.63 % SZS output start Proof for theBenchmark
% See solution above
% 21.75/3.83 % (3101880)------------------------------
% 21.75/3.83 % (3101880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.75/3.83 % (3101880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.83 % (3101880)CaDiCaL version: 2.1.3
% 21.75/3.83 % (3101880)Termination reason: Refutation
% 21.75/3.83 % (3101880)Time elapsed: 1.422 s
% 21.75/3.83 % (3101880)Peak memory usage: 143 MB
% 21.75/3.83 % (3101880)Instructions burned: 2290 (million)
% 21.75/3.83 % (3101880)------------------------------
% 21.75/3.83 % (3101880)------------------------------
% 21.75/3.83 % (3101839)Success in time 3.027 s
% 21.75/3.83 % Vampire exiting
%------------------------------------------------------------------------------