%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM542+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 : n015.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 12:15:40 PM UTC 2026
% Result : Theorem 8.44s 2.13s
% Output : Refutation 9.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 26
% Syntax : Number of formulae : 222 ( 23 unt; 12 def)
% Number of atoms : 828 ( 73 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 1043 ( 437 ~; 506 |; 66 &)
% ( 20 <=>; 13 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 195 ( 0 sgn 182 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessRefl) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(f52,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
fof(f54,axiom,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1964) ).
fof(f55,conjecture,
( sdtlseqdt0(xm,xn)
<=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f56,negated_conjecture,
~ ( sdtlseqdt0(xm,xn)
<=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f65,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f73,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f93,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f96,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f97,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f96]) ).
fof(f103,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f104,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f106,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f108,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f110,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f109]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f132,plain,
( sdtlseqdt0(xm,xn)
<~> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f139,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f140,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f140]) ).
fof(f142,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK4(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f141]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f70]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f145]) ).
fof(f159,plain,
! [X0] :
( X0 = sz00
| ( aElementOf0(sK8(X0),szNzAzT0)
& szszuzczcdt0(sK8(X0)) = X0 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f97]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( ( X1 = slbdtrb0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,X1) ) ) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f128]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ( X1 = slbdtrb0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,X1) ) ) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ( X1 = slbdtrb0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0) )
& ( ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ aElementOf0(X3,X1) ) ) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f173]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( ( X1 = slbdtrb0(X0)
| ~ aSet0(X1)
| ( ( ~ aElementOf0(sK12(X0,X1),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( aElementOf0(sK12(X0,X1),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0) )
| aElementOf0(sK12(X0,X1),X1) ) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0) )
& ( ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ aElementOf0(X3,X1) ) ) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f174]) ).
fof(f178,plain,
( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f180,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f142]) ).
fof(f186,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f188,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f189,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f191,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f228,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f230,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(X0)) = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f231,plain,
! [X0] :
( aElementOf0(sK8(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f237,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f238,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f239,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f241,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f261,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f262,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f263,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f264,plain,
! [X0,X1] :
( aSet0(X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f269,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f273,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f54]) ).
fof(f274,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f54]) ).
fof(f275,plain,
( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f178]) ).
fof(f276,plain,
( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f178]) ).
fof(f278,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f180]) ).
fof(f289,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(equality_resolution,[],[f264]) ).
fof(f290,plain,
! [X3,X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f263]) ).
fof(f291,plain,
! [X3,X0] :
( ~ aElementOf0(X3,slbdtrb0(X0))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f262]) ).
fof(f292,plain,
! [X3,X0] :
( ~ aElementOf0(X3,slbdtrb0(X0))
| sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f261]) ).
fof(f294,definition,
sF13 = slbdtrb0(xm),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f295,plain,
slbdtrb0(xm) = sF13,
inference(reorient_equations,[],[f294]) ).
fof(f296,definition,
sF14 = slbdtrb0(xn),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f297,plain,
slbdtrb0(xn) = sF14,
inference(reorient_equations,[],[f296]) ).
fof(f298,plain,
( ~ aSubsetOf0(sF13,sF14)
| ~ sdtlseqdt0(xm,xn) ),
inference(definition_folding,[],[f276,f297,f295]) ).
fof(f299,plain,
( aSubsetOf0(sF13,sF14)
| sdtlseqdt0(xm,xn) ),
inference(definition_folding,[],[f275,f297,f295]) ).
fof(f302,definition,
( spl15_1
<=> sdtlseqdt0(xm,xn) ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f303,plain,
( ~ sdtlseqdt0(xm,xn)
| spl15_1 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f304,plain,
( sdtlseqdt0(xm,xn)
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl15_2
<=> aSubsetOf0(sF13,sF14) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f307,plain,
( ~ aSubsetOf0(sF13,sF14)
| spl15_2 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f308,plain,
( aSubsetOf0(sF13,sF14)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f309,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f299,f306,f302]) ).
fof(f310,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f298,f306,f302]) ).
fof(f327,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[],[f291,f295]) ).
fof(f328,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f327,f274]) ).
fof(f338,definition,
( spl15_6
<=> aSet0(sF14) ),
introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).
fof(f339,plain,
( aSet0(sF14)
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f340,plain,
( ~ aSet0(sF14)
| spl15_6 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f342,definition,
( spl15_7
<=> aSet0(sF13) ),
introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition]) ).
fof(f344,plain,
( aSet0(sF13)
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f346,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f290,f241]) ).
fof(f347,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X0) ),
inference(duplicate_literal_removal,[],[f346]) ).
fof(f348,plain,
aSet0(slbdtrb0(xn)),
inference(resolution,[],[f289,f273]) ).
fof(f349,plain,
aSet0(slbdtrb0(xm)),
inference(resolution,[],[f289,f274]) ).
fof(f350,plain,
aSet0(sF13),
inference(forward_demodulation,[],[f349,f295]) ).
fof(f351,plain,
aSet0(sF14),
inference(forward_demodulation,[],[f348,f297]) ).
fof(f352,plain,
spl15_7,
inference(avatar_split_clause,[],[f350,f342]) ).
fof(f353,plain,
( $false
| spl15_6 ),
inference(forward_subsumption_resolution,[],[f351,f340]) ).
fof(f354,plain,
spl15_6,
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f357,plain,
! [X0] :
( ~ aElementOf0(X0,sF14)
| sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[],[f292,f297]) ).
fof(f358,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| sdtlseqdt0(szszuzczcdt0(X0),xm)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[],[f292,f295]) ).
fof(f359,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xm)
| ~ aElementOf0(X0,sF13) ),
inference(forward_subsumption_resolution,[],[f358,f274]) ).
fof(f360,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,sF14) ),
inference(forward_subsumption_resolution,[],[f357,f273]) ).
fof(f362,plain,
! [X0,X1] :
( ~ aSet0(slbdtrb0(X0))
| aSubsetOf0(slbdtrb0(X0),X1)
| ~ aSet0(X1)
| sdtlseqdt0(szszuzczcdt0(sK5(X1,slbdtrb0(X0))),X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f188,f292]) ).
fof(f363,plain,
! [X0,X1] :
( ~ aSet0(slbdtrb0(X0))
| aSubsetOf0(slbdtrb0(X0),X1)
| ~ aSet0(X1)
| aElementOf0(sK5(X1,slbdtrb0(X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f188,f291]) ).
fof(f365,plain,
! [X0] :
( ~ aSet0(sF13)
| aSubsetOf0(sF13,X0)
| ~ aSet0(X0)
| aElementOf0(sK5(X0,sF13),szNzAzT0) ),
inference(resolution,[],[f188,f328]) ).
fof(f368,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF13),szNzAzT0)
| ~ aSet0(X0)
| aSubsetOf0(sF13,X0) )
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f365,f344]) ).
fof(f370,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),X1)
| ~ aSet0(X1)
| aElementOf0(sK5(X1,slbdtrb0(X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f363,f289]) ).
fof(f371,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(sK5(X1,slbdtrb0(X0))),X0)
| ~ aSet0(X1)
| aSubsetOf0(slbdtrb0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f362,f289]) ).
fof(f375,plain,
! [X0] :
( aElementOf0(X0,sF14)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| sdtlseqdt0(xn,X0) ),
inference(superposition,[],[f347,f297]) ).
fof(f376,plain,
! [X0] :
( aElementOf0(X0,sF13)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(xm,X0) ),
inference(superposition,[],[f347,f295]) ).
fof(f379,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,sF13)
| sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[],[f376,f274]) ).
fof(f380,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,sF14)
| sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[],[f375,f273]) ).
fof(f381,plain,
( aElementOf0(xn,sF13)
| sdtlseqdt0(xm,xn) ),
inference(resolution,[],[f379,f273]) ).
fof(f394,plain,
( aElementOf0(xn,sF13)
| spl15_1 ),
inference(forward_subsumption_resolution,[],[f381,f303]) ).
fof(f403,plain,
( aElementOf0(xm,sF14)
| sdtlseqdt0(xn,xm) ),
inference(resolution,[],[f380,f274]) ).
fof(f407,definition,
( spl15_10
<=> sdtlseqdt0(xn,xm) ),
introduced(definition,[new_symbols(definition,[spl15_10])],[avatar_definition]) ).
fof(f409,plain,
( sdtlseqdt0(xn,xm)
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f411,definition,
( spl15_11
<=> aElementOf0(xm,sF14) ),
introduced(definition,[new_symbols(definition,[spl15_11])],[avatar_definition]) ).
fof(f413,plain,
( aElementOf0(xm,sF14)
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,plain,
( spl15_10
| spl15_11 ),
inference(avatar_split_clause,[],[f403,f411,f407]) ).
fof(f429,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sF13)
| ~ sdtlseqdt0(X1,szszuzczcdt0(X0))
| sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[],[f359,f240]) ).
fof(f430,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,szszuzczcdt0(X0))
| ~ aElementOf0(X0,sF13)
| sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f429,f274]) ).
fof(f448,plain,
( xm = szszuzczcdt0(sK8(xm))
| sz00 = xm ),
inference(resolution,[],[f230,f274]) ).
fof(f452,definition,
( spl15_12
<=> sz00 = xm ),
introduced(definition,[new_symbols(definition,[spl15_12])],[avatar_definition]) ).
fof(f453,plain,
( sz00 != xm
| spl15_12 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f454,plain,
( sz00 = xm
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f456,definition,
( spl15_13
<=> xm = szszuzczcdt0(sK8(xm)) ),
introduced(definition,[new_symbols(definition,[spl15_13])],[avatar_definition]) ).
fof(f458,plain,
( xm = szszuzczcdt0(sK8(xm))
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f459,plain,
( spl15_12
| spl15_13 ),
inference(avatar_split_clause,[],[f448,f456,f452]) ).
fof(f493,plain,
( slbdtrb0(sz00) = sF13
| ~ spl15_12 ),
inference(superposition,[],[f295,f454]) ).
fof(f494,plain,
( slcrc0 = sF13
| ~ spl15_12 ),
inference(forward_demodulation,[],[f493,f269]) ).
fof(f496,plain,
( aElementOf0(xn,slcrc0)
| spl15_1
| ~ spl15_12 ),
inference(superposition,[],[f394,f494]) ).
fof(f500,plain,
( $false
| spl15_1
| ~ spl15_12 ),
inference(forward_subsumption_resolution,[],[f496,f278]) ).
fof(f501,plain,
( spl15_1
| ~ spl15_12 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f538,plain,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(sK8(xm),sF14)
| ~ spl15_13 ),
inference(superposition,[],[f360,f458]) ).
fof(f539,plain,
( ! [X0] :
( ~ sdtlseqdt0(xm,X0)
| ~ aElementOf0(sK8(xm),szNzAzT0)
| aElementOf0(sK8(xm),slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl15_13 ),
inference(superposition,[],[f290,f458]) ).
fof(f542,definition,
( spl15_22
<=> aElementOf0(sK8(xm),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl15_22])],[avatar_definition]) ).
fof(f544,plain,
( ~ aElementOf0(sK8(xm),szNzAzT0)
| spl15_22 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f550,definition,
( spl15_24
<=> ! [X0] :
( ~ sdtlseqdt0(xm,X0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK8(xm),slbdtrb0(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl15_24])],[avatar_definition]) ).
fof(f551,plain,
( ! [X0] :
( aElementOf0(sK8(xm),slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(xm,X0) )
| ~ spl15_24 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f552,plain,
( ~ spl15_22
| spl15_24
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f539,f456,f550,f542]) ).
fof(f553,plain,
( ~ aElementOf0(sK8(xm),sF14)
| spl15_1
| ~ spl15_13 ),
inference(forward_subsumption_resolution,[],[f538,f303]) ).
fof(f570,plain,
( sz00 = xm
| ~ aElementOf0(xm,szNzAzT0)
| spl15_22 ),
inference(resolution,[],[f231,f544]) ).
fof(f576,plain,
( ~ aElementOf0(xm,szNzAzT0)
| spl15_12
| spl15_22 ),
inference(forward_subsumption_resolution,[],[f570,f453]) ).
fof(f578,plain,
( $false
| spl15_12
| spl15_22 ),
inference(forward_subsumption_resolution,[],[f576,f274]) ).
fof(f579,plain,
( spl15_12
| spl15_22 ),
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f627,plain,
( ~ sdtlseqdt0(xm,xn)
| xm = xn
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ spl15_10 ),
inference(resolution,[],[f409,f239]) ).
fof(f662,plain,
( xm = xn
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ spl15_1
| ~ spl15_10 ),
inference(forward_subsumption_resolution,[],[f627,f304]) ).
fof(f664,plain,
( xm = xn
| ~ aElementOf0(xn,szNzAzT0)
| ~ spl15_1
| ~ spl15_10 ),
inference(forward_subsumption_resolution,[],[f662,f274]) ).
fof(f666,plain,
( xm = xn
| ~ spl15_1
| ~ spl15_10 ),
inference(forward_subsumption_resolution,[],[f664,f273]) ).
fof(f671,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xm)
| sdtlseqdt0(X0,xn)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) )
| ~ spl15_1 ),
inference(resolution,[],[f304,f240]) ).
fof(f672,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xm)
| sdtlseqdt0(X0,xn)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) )
| ~ spl15_1 ),
inference(forward_subsumption_resolution,[],[f671,f274]) ).
fof(f674,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xm)
| sdtlseqdt0(X0,xn)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl15_1 ),
inference(forward_subsumption_resolution,[],[f672,f273]) ).
fof(f966,plain,
( aElementOf0(sK8(xm),sF13)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(xm,xm)
| ~ spl15_24 ),
inference(superposition,[],[f551,f295]) ).
fof(f970,plain,
( aElementOf0(sK8(xm),sF13)
| ~ aElementOf0(xm,szNzAzT0)
| ~ spl15_24 ),
inference(forward_subsumption_resolution,[],[f966,f238]) ).
fof(f978,plain,
( aElementOf0(sK8(xm),sF13)
| ~ spl15_24 ),
inference(forward_subsumption_resolution,[],[f970,f274]) ).
fof(f1094,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aSubsetOf0(slbdtrb0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK5(X0,slbdtrb0(X1)),szNzAzT0)
| aElementOf0(sK5(X0,slbdtrb0(X1)),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f371,f290]) ).
fof(f1104,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aSubsetOf0(slbdtrb0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK5(X0,slbdtrb0(X1)),szNzAzT0)
| aElementOf0(sK5(X0,slbdtrb0(X1)),slbdtrb0(X1)) ),
inference(duplicate_literal_removal,[],[f1094]) ).
fof(f1110,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,slbdtrb0(X1)),slbdtrb0(X1))
| aSubsetOf0(slbdtrb0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[],[f1104,f370]) ).
fof(f1129,plain,
! [X0] :
( aElementOf0(sK5(X0,sF13),sF13)
| aSubsetOf0(sF13,X0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aSet0(X0) ),
inference(superposition,[],[f1110,f295]) ).
fof(f1136,plain,
! [X0] :
( aElementOf0(sK5(X0,sF13),sF13)
| aSubsetOf0(sF13,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[],[f1129,f274]) ).
fof(f1236,plain,
( slbdtrb0(xm) = sF14
| ~ spl15_1
| ~ spl15_10 ),
inference(superposition,[],[f297,f666]) ).
fof(f1245,plain,
( sF13 = sF14
| ~ spl15_1
| ~ spl15_10 ),
inference(forward_demodulation,[],[f1236,f295]) ).
fof(f1246,plain,
( ~ aSubsetOf0(sF13,sF13)
| ~ spl15_1
| spl15_2
| ~ spl15_10 ),
inference(superposition,[],[f307,f1245]) ).
fof(f1252,plain,
( ~ aSet0(sF13)
| ~ spl15_1
| spl15_2
| ~ spl15_10 ),
inference(resolution,[],[f1246,f191]) ).
fof(f1253,plain,
( $false
| ~ spl15_1
| spl15_2
| ~ spl15_7
| ~ spl15_10 ),
inference(forward_subsumption_resolution,[],[f1252,f344]) ).
fof(f1254,plain,
( ~ spl15_1
| spl15_2
| ~ spl15_7
| ~ spl15_10 ),
inference(avatar_contradiction_clause,[],[f1253]) ).
fof(f1282,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| sdtlseqdt0(xm,X0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl15_1 ),
inference(resolution,[],[f674,f241]) ).
fof(f1286,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xn)
| sdtlseqdt0(xm,X0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl15_1 ),
inference(forward_subsumption_resolution,[],[f1282,f228]) ).
fof(f1456,plain,
( ! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xn)
| sdtlseqdt0(xm,X0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl15_1 ),
inference(forward_subsumption_resolution,[],[f1286,f274]) ).
fof(f1494,plain,
( ! [X0] :
( sdtlseqdt0(xm,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(xn))
| ~ aElementOf0(xn,szNzAzT0) )
| ~ spl15_1 ),
inference(resolution,[],[f1456,f290]) ).
fof(f1499,plain,
( ! [X0] :
( sdtlseqdt0(xm,X0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(xn))
| ~ aElementOf0(xn,szNzAzT0) )
| ~ spl15_1 ),
inference(duplicate_literal_removal,[],[f1494]) ).
fof(f1502,plain,
( ! [X0] :
( sdtlseqdt0(xm,X0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(xn)) )
| ~ spl15_1 ),
inference(forward_subsumption_resolution,[],[f1499,f273]) ).
fof(f1505,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(xm,X0)
| aElementOf0(X0,sF14) )
| ~ spl15_1 ),
inference(forward_demodulation,[],[f1502,f297]) ).
fof(f1511,plain,
( ! [X0] :
( sdtlseqdt0(xm,sK5(X0,sF13))
| aElementOf0(sK5(X0,sF13),sF14)
| ~ aSet0(X0)
| aSubsetOf0(sF13,X0) )
| ~ spl15_1
| ~ spl15_7 ),
inference(resolution,[],[f1505,f368]) ).
fof(f1918,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| sdtlseqdt0(X0,xm)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f430,f237]) ).
fof(f1925,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| sdtlseqdt0(X0,xm)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(duplicate_literal_removal,[],[f1918]) ).
fof(f1927,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| sdtlseqdt0(X0,xm)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1925,f228]) ).
fof(f1928,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[],[f1927,f328]) ).
fof(f1930,plain,
! [X0] :
( sdtlseqdt0(sK5(X0,sF13),xm)
| aSubsetOf0(sF13,X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f1928,f1136]) ).
fof(f2101,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF13),sF14)
| ~ aSet0(X0)
| aSubsetOf0(sF13,X0)
| ~ sdtlseqdt0(sK5(X0,sF13),xm)
| xm = sK5(X0,sF13)
| ~ aElementOf0(sK5(X0,sF13),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) )
| ~ spl15_1
| ~ spl15_7 ),
inference(resolution,[],[f1511,f239]) ).
fof(f2104,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF13),sF14)
| ~ aSet0(X0)
| aSubsetOf0(sF13,X0)
| ~ sdtlseqdt0(sK5(X0,sF13),xm)
| xm = sK5(X0,sF13)
| ~ aElementOf0(sK5(X0,sF13),szNzAzT0) )
| ~ spl15_1
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f2101,f274]) ).
fof(f2106,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF13),sF14)
| ~ aSet0(X0)
| aSubsetOf0(sF13,X0)
| xm = sK5(X0,sF13)
| ~ aElementOf0(sK5(X0,sF13),szNzAzT0) )
| ~ spl15_1
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f2104,f1930]) ).
fof(f2107,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF13),sF14)
| ~ aSet0(X0)
| aSubsetOf0(sF13,X0)
| xm = sK5(X0,sF13) )
| ~ spl15_1
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f2106,f368]) ).
fof(f2108,plain,
( ~ aSet0(sF14)
| aSubsetOf0(sF13,sF14)
| xm = sK5(sF14,sF13)
| ~ aSet0(sF13)
| aSubsetOf0(sF13,sF14)
| ~ aSet0(sF14)
| ~ spl15_1
| ~ spl15_7 ),
inference(resolution,[],[f2107,f189]) ).
fof(f2113,plain,
( ~ aSet0(sF14)
| aSubsetOf0(sF13,sF14)
| xm = sK5(sF14,sF13)
| ~ aSet0(sF13)
| ~ spl15_1
| ~ spl15_7 ),
inference(duplicate_literal_removal,[],[f2108]) ).
fof(f2114,plain,
( aSubsetOf0(sF13,sF14)
| xm = sK5(sF14,sF13)
| ~ aSet0(sF13)
| ~ spl15_1
| ~ spl15_6
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f2113,f339]) ).
fof(f2115,plain,
( xm = sK5(sF14,sF13)
| ~ aSet0(sF13)
| ~ spl15_1
| spl15_2
| ~ spl15_6
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f2114,f307]) ).
fof(f2116,plain,
( xm = sK5(sF14,sF13)
| ~ spl15_1
| spl15_2
| ~ spl15_6
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f2115,f344]) ).
fof(f2123,plain,
( ~ aElementOf0(xm,sF14)
| ~ aSet0(sF13)
| aSubsetOf0(sF13,sF14)
| ~ aSet0(sF14)
| ~ spl15_1
| spl15_2
| ~ spl15_6
| ~ spl15_7 ),
inference(superposition,[],[f189,f2116]) ).
fof(f2126,plain,
( ~ aSet0(sF13)
| aSubsetOf0(sF13,sF14)
| ~ aSet0(sF14)
| ~ spl15_1
| spl15_2
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(forward_subsumption_resolution,[],[f2123,f413]) ).
fof(f2131,plain,
( aSubsetOf0(sF13,sF14)
| ~ aSet0(sF14)
| ~ spl15_1
| spl15_2
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(forward_subsumption_resolution,[],[f2126,f344]) ).
fof(f2136,plain,
( ~ aSet0(sF14)
| ~ spl15_1
| spl15_2
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(forward_subsumption_resolution,[],[f2131,f307]) ).
fof(f2150,plain,
( $false
| ~ spl15_1
| spl15_2
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(forward_subsumption_resolution,[],[f2136,f339]) ).
fof(f2151,plain,
( ~ spl15_1
| spl15_2
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(avatar_contradiction_clause,[],[f2150]) ).
fof(f2181,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF13)
| aElementOf0(X0,sF14)
| ~ aSet0(sF14) )
| ~ spl15_2 ),
inference(resolution,[],[f308,f186]) ).
fof(f2183,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF13)
| aElementOf0(X0,sF14) )
| ~ spl15_2
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f2181,f339]) ).
fof(f2213,plain,
( aElementOf0(sK8(xm),sF14)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_24 ),
inference(resolution,[],[f2183,f978]) ).
fof(f2218,plain,
( $false
| spl15_1
| ~ spl15_2
| ~ spl15_6
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_subsumption_resolution,[],[f2213,f553]) ).
fof(f2219,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_6
| ~ spl15_13
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f2218]) ).
cnf(s1,plain,
( spl15_1
| spl15_2 ),
inference(sat_conversion,[],[f309]) ).
cnf(s2,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(sat_conversion,[],[f310]) ).
cnf(s7,plain,
spl15_7,
inference(sat_conversion,[],[f352]) ).
cnf(s8,plain,
spl15_6,
inference(sat_conversion,[],[f354]) ).
cnf(s10,plain,
( spl15_10
| spl15_11 ),
inference(sat_conversion,[],[f414]) ).
cnf(s11,plain,
( spl15_12
| spl15_13 ),
inference(sat_conversion,[],[f459]) ).
cnf(s15,plain,
( spl15_1
| ~ spl15_12 ),
inference(sat_conversion,[],[f501]) ).
cnf(s21,plain,
( ~ spl15_13
| ~ spl15_22
| spl15_24 ),
inference(sat_conversion,[],[f552]) ).
cnf(s24,plain,
( spl15_12
| spl15_22 ),
inference(sat_conversion,[],[f579]) ).
cnf(s57,plain,
( ~ spl15_1
| spl15_2
| ~ spl15_7
| ~ spl15_10 ),
inference(sat_conversion,[],[f1254]) ).
cnf(s117,plain,
( ~ spl15_1
| spl15_2
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(sat_conversion,[],[f2151]) ).
cnf(s128,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_6
| ~ spl15_13
| ~ spl15_24 ),
inference(sat_conversion,[],[f2219]) ).
cnf(s131,plain,
spl15_1,
inference(rat,[],[s128,s21,s11,s24,s1,s15,s8]) ).
cnf(s132,plain,
~ spl15_2,
inference(rat,[],[s2,s131]) ).
cnf(s133,plain,
~ spl15_11,
inference(rat,[],[s117,s131,s7,s8,s132]) ).
cnf(s135,plain,
~ spl15_10,
inference(rat,[],[s57,s131,s7,s132]) ).
cnf(s136,plain,
$false,
inference(rat,[],[s10,s133,s135]) ).
fof(f2220,plain,
$false,
inference(avatar_sat_refutation,[],[s136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM542+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n015.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 20:27:46 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 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
% 8.44/2.12 % (1986289)Detected formulas, will run a generic FOF schedule.
% 8.44/2.12 % (1986298)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=394501598:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.44/2.12 % (1986298)Instruction limit reached!
% 8.44/2.12 % (1986298)------------------------------
% 8.44/2.12 % (1986298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.12 % (1986298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.12 % (1986298)CaDiCaL version: 2.1.3
% 8.44/2.12 % (1986298)Termination reason: Instruction limit
% 8.44/2.12 % (1986298)Termination phase: Saturation
% 8.44/2.12 % (1986298)Time elapsed: 0.040 s
% 8.44/2.12 % (1986298)Peak memory usage: 88 MB
% 8.44/2.12 % (1986298)Instructions burned: 120 (million)
% 8.44/2.12 % (1986294)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=946434741:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.44/2.12 % (1986299)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2070394656:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.44/2.12 % (1986296)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=4291610483:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.44/2.12 % (1986297)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3823154102:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.44/2.12 % (1986300)dis-21_1_sil=8000:lcm=predicate:random_seed=3502856283: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)
% 8.44/2.12 % (1986295)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=253607762:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.44/2.12 % (1986297)Refutation not found, incomplete strategy
% 8.44/2.12 % (1986297)------------------------------
% 8.44/2.12 % (1986297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.12 % (1986297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.12 % (1986297)CaDiCaL version: 2.1.3
% 8.44/2.12 % (1986297)Termination reason: Refutation not found, incomplete strategy
% 8.44/2.12 % (1986297)Time elapsed: 0.004 s
% 8.44/2.12 % (1986297)Peak memory usage: 88 MB
% 8.44/2.12 % (1986297)Instructions burned: 4 (million)
% 8.44/2.12 % (1986300)Instruction limit reached!
% 8.44/2.12 % (1986300)------------------------------
% 8.44/2.12 % (1986300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.12 % (1986300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.12 % (1986300)CaDiCaL version: 2.1.3
% 8.44/2.12 % (1986300)Termination reason: Instruction limit
% 8.44/2.12 % (1986300)Termination phase: Saturation
% 8.44/2.12 % (1986300)Time elapsed: 0.056 s
% 8.44/2.12 % (1986300)Peak memory usage: 88 MB
% 8.44/2.12 % (1986300)Instructions burned: 130 (million)
% 8.44/2.12 % (1986299)Instruction limit reached!
% 8.44/2.12 % (1986299)------------------------------
% 8.44/2.12 % (1986299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.12 % (1986299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.12 % (1986299)CaDiCaL version: 2.1.3
% 8.44/2.12 % (1986299)Termination reason: Instruction limit
% 8.44/2.12 % (1986299)Termination phase: Saturation
% 8.44/2.12 % (1986299)Time elapsed: 0.101 s
% 8.44/2.12 % (1986299)Peak memory usage: 89 MB
% 8.44/2.12 % (1986299)Instructions burned: 140 (million)
% 8.44/2.12 % (1986308)lrs+10_1_sil=8000:sp=occurrence:random_seed=1507778215:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.44/2.12 % (1986308)Instruction limit reached!
% 8.44/2.12 % (1986308)------------------------------
% 8.44/2.12 % (1986308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.12 % (1986308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.12 % (1986308)CaDiCaL version: 2.1.3
% 8.44/2.12 % (1986308)Termination reason: Instruction limit
% 8.44/2.12 % (1986308)Termination phase: Saturation
% 8.44/2.12 % (1986308)Time elapsed: 0.094 s
% 8.44/2.12 % (1986308)Peak memory usage: 91 MB
% 8.44/2.12 % (1986308)Instructions burned: 286 (million)
% 8.44/2.12 % (1986309)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2218450532:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.44/2.13 % (1986309)Refutation not found, incomplete strategy
% 8.44/2.13 % (1986309)------------------------------
% 8.44/2.13 % (1986309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.13 % (1986309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.13 % (1986309)CaDiCaL version: 2.1.3
% 8.44/2.13 % (1986309)Termination reason: Refutation not found, incomplete strategy
% 8.44/2.13 % (1986309)Time elapsed: 0.005 s
% 8.44/2.13 % (1986309)Peak memory usage: 89 MB
% 8.44/2.13 % (1986309)Instructions burned: 5 (million)
% 8.44/2.13 % (1986297)------------------------------
% 8.44/2.13 % (1986297)------------------------------
% 8.44/2.13 % (1986310)lrs+1011_1_sil=32000:sp=occurrence:random_seed=737444149:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.44/2.13 % (1986312)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=3948581437:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.44/2.13 % (1986312)Instruction limit reached!
% 8.44/2.13 % (1986312)------------------------------
% 8.44/2.13 % (1986312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.13 % (1986312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.13 % (1986312)CaDiCaL version: 2.1.3
% 8.44/2.13 % (1986312)Termination reason: Instruction limit
% 8.44/2.13 % (1986312)Termination phase: Saturation
% 8.44/2.13 % (1986312)Time elapsed: 0.081 s
% 8.44/2.13 % (1986312)Peak memory usage: 91 MB
% 8.44/2.13 % (1986312)Instructions burned: 251 (million)
% 8.44/2.13 % (1986314)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4196192915:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.44/2.13 % (1986309)------------------------------
% 8.44/2.13 % (1986309)------------------------------
% 8.44/2.13 % (1986310)Instruction limit reached!
% 8.44/2.13 % (1986310)------------------------------
% 8.44/2.13 % (1986310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.13 % (1986310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.13 % (1986310)CaDiCaL version: 2.1.3
% 8.44/2.13 % (1986310)Termination reason: Instruction limit
% 8.44/2.13 % (1986310)Termination phase: Saturation
% 8.44/2.13 % (1986310)Time elapsed: 0.215 s
% 8.44/2.13 % (1986310)Peak memory usage: 91 MB
% 8.44/2.13 % (1986310)Instructions burned: 326 (million)
% 8.44/2.13 % (1986317)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2218150048:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.44/2.13 % (1986314)Instruction limit reached!
% 8.44/2.13 % (1986314)------------------------------
% 8.44/2.13 % (1986314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.13 % (1986314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.13 % (1986314)CaDiCaL version: 2.1.3
% 8.44/2.13 % (1986314)Termination reason: Instruction limit
% 8.44/2.13 % (1986314)Termination phase: Saturation
% 8.44/2.13 % (1986314)Time elapsed: 0.178 s
% 8.44/2.13 % (1986314)Peak memory usage: 89 MB
% 8.44/2.13 % (1986314)Instructions burned: 295 (million)
% 8.44/2.13 % (1986319)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3070986183:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.44/2.13 % (1986320)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2045445672:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.44/2.13 % (1986320)Instruction limit reached!
% 8.44/2.13 % (1986320)------------------------------
% 8.44/2.13 % (1986320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.13 % (1986320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.13 % (1986320)CaDiCaL version: 2.1.3
% 8.44/2.13 % (1986320)Termination reason: Instruction limit
% 8.44/2.13 % (1986320)Termination phase: Saturation
% 8.44/2.13 % (1986320)Time elapsed: 0.066 s
% 8.44/2.13 % (1986320)Peak memory usage: 88 MB
% 8.44/2.13 % (1986320)Instructions burned: 128 (million)
% 8.44/2.13 % (1986319)Instruction limit reached!
% 8.44/2.13 % (1986319)------------------------------
% 8.44/2.13 % (1986319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.13 % (1986319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.13 % (1986319)CaDiCaL version: 2.1.3
% 8.44/2.13 % (1986319)Termination reason: Instruction limit
% 8.44/2.13 % (1986319)Termination phase: Saturation
% 8.44/2.13 % (1986319)Time elapsed: 0.077 s
% 8.44/2.13 % (1986319)Peak memory usage: 90 MB
% 8.44/2.13 % (1986319)Instructions burned: 114 (million)
% 8.44/2.13 % (1986322)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1519784393:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.44/2.13 % (1986294)First to succeed.
% 8.44/2.13 % (1986294)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1986289"
% 8.44/2.13 % (1986322)Instruction limit reached!
% 8.44/2.13 % (1986322)------------------------------
% 8.44/2.13 % (1986322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.13 % (1986322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.13 % (1986322)CaDiCaL version: 2.1.3
% 8.44/2.13 % (1986322)Termination reason: Instruction limit
% 8.44/2.13 % (1986322)Termination phase: Saturation
% 8.44/2.13 % (1986322)Time elapsed: 0.070 s
% 8.44/2.13 % (1986322)Peak memory usage: 89 MB
% 8.44/2.13 % (1986322)Instructions burned: 117 (million)
% 8.44/2.13 % (1986326)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1098922808:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.44/2.13 % (1986325)lrs+10_1_sil=8000:sp=occurrence:random_seed=3660331429:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.44/2.13 % (1986328)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2396185132:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.44/2.13 % (1986296)Also succeeded, but the first one will report.
% 8.44/2.13 % (1986294)Refutation found. Thanks to Tanya!
% 8.44/2.13 % SZS status Theorem for theBenchmark
% 8.44/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 9.33/2.32 % (1986294)------------------------------
% 9.33/2.32 % (1986294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.32 % (1986294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.32 % (1986294)CaDiCaL version: 2.1.3
% 9.33/2.32 % (1986294)Termination reason: Refutation
% 9.33/2.32 % (1986294)Time elapsed: 0.790 s
% 9.33/2.32 % (1986294)Peak memory usage: 130 MB
% 9.33/2.32 % (1986294)Instructions burned: 1165 (million)
% 9.33/2.32 % (1986294)------------------------------
% 9.33/2.32 % (1986294)------------------------------
% 9.33/2.32 % (1986289)Success in time 1.229 s
% 9.33/2.32 % Vampire exiting
%------------------------------------------------------------------------------