%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM541+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 : Fri Sep 25 02:25:56 PM UTC 2026
% Result : Theorem 1.08s 1.75s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of formulae : 156 ( 11 unt; 0 def)
% Number of atoms : 638 ( 86 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 818 ( 336 ~; 419 |; 43 &)
% ( 9 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 155 ( 0 sgn 152 !; 3 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f53,axiom,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1936) ).
fof(f54,conjecture,
( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
<=> ( xm = xn
| aElementOf0(xm,slbdtrb0(xn)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f55,negated_conjecture,
~ ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
<=> ( xm = xn
| aElementOf0(xm,slbdtrb0(xn)) ) ),
inference(negated_conjecture,[status(cth)],[f54]) ).
fof(f92,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f103,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f104,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f35]) ).
fof(f105,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f108]) ).
fof(f127,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f129,plain,
( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
<~> ( xm = xn
| aElementOf0(xm,slbdtrb0(xn)) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f157,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( ( ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f169,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) != X1
| ( ! [X2] :
( ( ~ aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X2,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) )
| ~ aSet0(X1)
| X1 = slbdtrb0(X0) ) ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f170,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) != X1
| ( ! [X2] :
( ( ~ aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X2,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) )
| ~ aSet0(X1)
| X1 = slbdtrb0(X0) ) ) ),
inference(flattening,[],[f169]) ).
fof(f171,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) != X1
| ( ! [X3] :
( ( ~ aElementOf0(X3,X1)
| ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) )
| ~ aSet0(X1)
| X1 = slbdtrb0(X0) ) ) ),
inference(rectify,[],[f170]) ).
fof(f172,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) != X1
| ( ! [X3] :
( ( ~ aElementOf0(X3,X1)
| ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,X1) ) )
& aSet0(X1) ) )
& ( ( ( aElementOf0(sK12(X0,X1),X1)
| ( sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
& aElementOf0(sK12(X0,X1),szNzAzT0) ) )
& ( ~ aElementOf0(sK12(X0,X1),X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
| ~ aElementOf0(sK12(X0,X1),szNzAzT0) ) )
| ~ aSet0(X1)
| X1 = slbdtrb0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f171]) ).
fof(f173,plain,
( ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| xm = xn
| aElementOf0(xm,slbdtrb0(xn)) )
& ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ( xm != xn
& ~ aElementOf0(xm,slbdtrb0(xn)) ) ) ),
inference(nnf_transformation,[],[f129]) ).
fof(f174,plain,
( ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| xm = xn
| aElementOf0(xm,slbdtrb0(xn)) )
& ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ( xm != xn
& ~ aElementOf0(xm,slbdtrb0(xn)) ) ) ),
inference(flattening,[],[f173]) ).
fof(f224,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f231,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f232,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f233,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f234,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f235,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f107]) ).
fof(f237,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f257,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(szszuzczcdt0(X3),X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f258,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,szNzAzT0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f259,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(X0) != X1
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f266,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f53]) ).
fof(f267,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f53]) ).
fof(f268,plain,
( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| xm = xn
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f269,plain,
( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| xm != xn ),
inference(cnf_transformation,[],[f174]) ).
fof(f270,plain,
( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ~ aElementOf0(xm,slbdtrb0(xn)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f284,plain,
! [X3,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,slbdtrb0(X0)) ),
inference(equality_resolution,[],[f259]) ).
fof(f285,plain,
! [X3,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| aElementOf0(X3,szNzAzT0) ),
inference(equality_resolution,[],[f258]) ).
fof(f286,plain,
! [X3,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| sdtlseqdt0(szszuzczcdt0(X3),X0) ),
inference(equality_resolution,[],[f257]) ).
tcf(c_97,plain,
! [X0: $i] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_107,plain,
! [X0: $i] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_108,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_140,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f267]) ).
tcf(c_141,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f266]) ).
tcf(c_142,negated_conjecture,
( ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_143,negated_conjecture,
( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ( xm != xn ) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_144,negated_conjecture,
( aElementOf0(xm,slbdtrb0(xn))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ( xm = xn ) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_223,plain,
( aElementOf0(xm,szNzAzT0)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_144,c_136]) ).
tcf(c_231,plain,
( aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ( xm = xn )
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_144,c_137]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_111,c_135]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(superposition,[status(thm)],[c_106,c_135]) ).
tcf(c_298,plain,
( aElementOf0(xm,szNzAzT0)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm)],[c_97,c_223]) ).
tcf(c_307,plain,
( sdtlseqdt0(xm,xn)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_231,c_105]) ).
tcf(c_319,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_249,c_142]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_260,c_97,c_260]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_332]) ).
tcf(c_345,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xm,slbdtrb0(xn)) ),
inference(superposition,[status(thm)],[c_333,c_142]) ).
tcf(c_367,plain,
( sdtlseqdt0(xm,xn)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_307,c_298,c_307]) ).
tcf(c_374,plain,
( sdtlseqdt0(xm,xn)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ~ aElementOf0(xn,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367,c_97]) ).
tcf(c_387,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| ( xm = xn )
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm)],[c_374,c_137]) ).
tcf(c_407,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_249,c_319]) ).
tcf(c_429,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,slbdtrb0(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_345,c_136]) ).
tcf(c_439,plain,
( sdtlseqdt0(xn,xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[status(thm)],[c_249,c_429]) ).
tcf(c_626,plain,
( aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ( xm = xn )
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_144,c_137]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_111,c_135]) ).
tcf(c_690,plain,
( sdtlseqdt0(xm,xn)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_626,c_105]) ).
tcf(c_702,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_644,c_142]) ).
tcf(c_726,plain,
( sdtlseqdt0(xm,xn)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_690,c_307,c_141,c_140]) ).
tcf(c_736,plain,
( sdtlseqdt0(xm,xn)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm)],[c_97,c_726]) ).
tcf(c_737,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,slbdtrb0(xn)) ),
inference(global_subsumption_just,[status(thm)],[c_702,c_319,c_140]) ).
tcf(c_738,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(renaming,[status(thm)],[c_737]) ).
tcf(c_745,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_644,c_738]) ).
tcf(c_773,plain,
( sdtlseqdt0(xm,xn)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_736,c_141,c_736]) ).
tcf(c_781,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| ( xm = xn )
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm)],[c_773,c_137]) ).
tcf(c_785,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_745,c_407,c_141,c_140]) ).
tcf(c_793,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm)],[c_97,c_785]) ).
tcf(c_810,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| ( xm = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_781,c_387,c_141]) ).
tcf(c_961,plain,
! [X0: $i] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_97,c_108]) ).
tcf(c_1005,plain,
( aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ( xm = xn )
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_144,c_137]) ).
tcf(c_1023,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_111,c_135]) ).
tcf(c_1063,plain,
! [X0: $i,X1: $i] :
( ( szszuzczcdt0(X0) = szszuzczcdt0(X1) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(superposition,[status(thm)],[c_106,c_109]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( szszuzczcdt0(X1) = X0 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1)) ),
inference(superposition,[status(thm)],[c_111,c_109]) ).
tcf(c_1082,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_140,c_110]) ).
tcf(c_1083,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_141,c_110]) ).
tcf(c_1100,plain,
! [X0: $i] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(superposition,[status(thm)],[c_961,c_135]) ).
tcf(c_1110,plain,
( aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ( szszuzczcdt0(xm) = szszuzczcdt0(xn) )
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),szszuzczcdt0(xm)) ),
inference(superposition,[status(thm)],[c_1005,c_109]) ).
tcf(c_1111,plain,
( sdtlseqdt0(xm,xn)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_1005,c_105]) ).
tcf(c_1123,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_1023,c_142]) ).
tcf(c_1173,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( szszuzczcdt0(X1) = X0 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1065,c_97]) ).
tcf(c_1192,plain,
( sdtlseqdt0(szszuzczcdt0(xm),xn)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ( szszuzczcdt0(xm) = szszuzczcdt0(xn) )
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(superposition,[status(thm)],[c_1005,c_1173]) ).
tcf(c_1203,plain,
! [X0: $i,X1: $i] :
( ( szszuzczcdt0(X0) = szszuzczcdt0(X1) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_1063,c_97,c_1063]) ).
tcf(c_1211,plain,
! [X0: $i,X1: $i] :
( ( szszuzczcdt0(X0) = szszuzczcdt0(X1) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1203,c_97]) ).
tcf(c_1230,plain,
( aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ( szszuzczcdt0(xm) = szszuzczcdt0(xn) )
| ~ sdtlseqdt0(xn,xm)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_1005,c_1211]) ).
tcf(c_1241,plain,
! [X0: $i] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_97,c_108]) ).
tcf(c_1254,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1)) ),
inference(superposition,[status(thm)],[c_97,c_1083]) ).
tcf(c_1269,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1)) ),
inference(superposition,[status(thm)],[c_97,c_1082]) ).
tcf(c_1332,plain,
( aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ( xm = xn )
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_144,c_137]) ).
tcf(c_1350,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_111,c_135]) ).
tcf(c_1351,plain,
! [X0: $i] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_1100,c_97,c_1100]) ).
tcf(c_1360,plain,
( sdtlseqdt0(xm,xn)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_1111,c_141,c_736]) ).
tcf(c_1368,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| ( xm = xn )
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm)],[c_1360,c_137]) ).
tcf(c_1378,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(superposition,[status(thm)],[c_106,c_135]) ).
tcf(c_1379,plain,
( aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ( szszuzczcdt0(xm) = szszuzczcdt0(xn) )
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_1110,c_307,c_439,c_141,c_140,c_1230]) ).
tcf(c_1389,plain,
( aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ( szszuzczcdt0(xm) = szszuzczcdt0(xn) )
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm)],[c_97,c_1379]) ).
tcf(c_1422,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( szszuzczcdt0(X1) = X0 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1)) ),
inference(superposition,[status(thm)],[c_111,c_109]) ).
tcf(c_1423,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,slbdtrb0(xn)) ),
inference(global_subsumption_just,[status(thm)],[c_1123,c_319,c_140]) ).
tcf(c_1424,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(renaming,[status(thm)],[c_1423]) ).
tcf(c_1431,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_1023,c_1424]) ).
tcf(c_1518,plain,
! [X0: $i] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(superposition,[status(thm)],[c_1241,c_135]) ).
tcf(c_1530,plain,
( sdtlseqdt0(szszuzczcdt0(xm),xn)
| ( szszuzczcdt0(xm) = szszuzczcdt0(xn) )
| ( xm = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_1192,c_345,c_141,c_140,c_810,c_1389]) ).
tcf(c_1531,plain,
( sdtlseqdt0(szszuzczcdt0(xm),xn)
| ( xm = xn )
| ( szszuzczcdt0(xm) = szszuzczcdt0(xn) ) ),
inference(renaming,[status(thm)],[c_1530]) ).
tcf(c_1596,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1378,c_97,c_260]) ).
tcf(c_1597,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_1596]) ).
tcf(c_1608,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xm,slbdtrb0(xn)) ),
inference(superposition,[status(thm)],[c_1597,c_142]) ).
tcf(c_1647,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( szszuzczcdt0(X1) = X0 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1422,c_97]) ).
tcf(c_1666,plain,
( sdtlseqdt0(szszuzczcdt0(xm),xn)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ( szszuzczcdt0(xm) = szszuzczcdt0(xn) )
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(superposition,[status(thm)],[c_1332,c_1647]) ).
tcf(c_1703,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),xn) ),
inference(superposition,[status(thm)],[c_107,c_1254]) ).
tcf(c_1754,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),xm) ),
inference(superposition,[status(thm)],[c_107,c_1269]) ).
tcf(c_1758,plain,
( sdtlseqdt0(szszuzczcdt0(xm),xm)
| aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn )
| ~ aElementOf0(xn,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(superposition,[status(thm)],[c_1005,c_1269]) ).
tcf(c_1867,plain,
! [X0: $i] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_1518,c_1351]) ).
tcf(c_1978,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| ( xm = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_1368,c_387,c_141]) ).
tcf(c_2002,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,slbdtrb0(xn)) ),
inference(global_subsumption_just,[status(thm)],[c_1608,c_345,c_141,c_140]) ).
tcf(c_2008,plain,
( sdtlseqdt0(xn,xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[status(thm)],[c_1350,c_2002]) ).
tcf(c_2011,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(global_subsumption_just,[status(thm)],[c_1431,c_141,c_793]) ).
tcf(c_2137,plain,
( sdtlseqdt0(szszuzczcdt0(xm),xn)
| ( szszuzczcdt0(xm) = szszuzczcdt0(xn) )
| ( xm = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_1666,c_1531]) ).
tcf(c_2138,plain,
( sdtlseqdt0(szszuzczcdt0(xm),xn)
| ( xm = xn )
| ( szszuzczcdt0(xm) = szszuzczcdt0(xn) ) ),
inference(renaming,[status(thm)],[c_2137]) ).
tcf(c_2145,plain,
( ( xm = xn )
| ( szszuzczcdt0(xm) = xn )
| ( szszuzczcdt0(xm) = szszuzczcdt0(xn) )
| ~ aElementOf0(xn,szNzAzT0)
| ~ sdtlseqdt0(xn,szszuzczcdt0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(superposition,[status(thm)],[c_2138,c_109]) ).
tcf(c_3044,plain,
( sdtlseqdt0(xm,xn)
| ( xm = xn )
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[status(thm)],[c_1978,c_1703]) ).
tcf(c_3378,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm)],[c_2011,c_1754]) ).
tcf(c_3425,plain,
sdtlseqdt0(xn,xm),
inference(global_subsumption_just,[status(thm)],[c_2008,c_141,c_3378]) ).
tcf(c_3428,plain,
( ( xm = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[status(thm)],[c_3425,c_109]) ).
tcf(c_3514,plain,
xm = xn,
inference(global_subsumption_just,[status(thm)],[c_1758,c_141,c_140,c_3044,c_3428]) ).
tcf(c_3811,plain,
xm = xn,
inference(global_subsumption_just,[status(thm)],[c_2145,c_3514]) ).
tcf(c_3822,plain,
~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))),
inference(superposition,[status(thm)],[c_3811,c_143]) ).
tcf(c_12137,plain,
~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xm))),
inference(light_normalisation,[status(thm)],[c_3822,c_3811]) ).
tcf(c_12142,plain,
~ aElementOf0(xm,szNzAzT0),
inference(superposition,[status(thm)],[c_1867,c_12137]) ).
tcf(c_12143,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_140,c_12142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM541+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Thu Sep 24 04:26:45 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.40 Running first-order theorem proving
% 0.03/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.41
% 0.03/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.41
% 0.03/0.42 % Detected problem language: tptp
% 0.03/0.43 % Proving...
% 1.08/1.75 % SZS status Started for theBenchmark.p
% 1.08/1.75 % SZS status Theorem for theBenchmark.p
% 1.08/1.75
% 1.08/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.08/1.75
% 1.08/1.75 % ------ iProver source info
% 1.08/1.75
% 1.08/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 1.08/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.08/1.75 % git: non_committed_changes: false
% 1.08/1.75
% 1.08/1.75 % ------ Parsing...
% 1.08/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.08/1.75 % ------ Proving...
% 1.08/1.75 % ------ Problem Properties
% 1.08/1.75
% 1.08/1.75 %
% 1.08/1.75 % clauses 96
% 1.08/1.75 % conjectures 3
% 1.08/1.75 % EPR 33
% 1.08/1.75 % Horn 69
% 1.08/1.75 % unary 9
% 1.08/1.75 % binary 20
% 1.08/1.75 % lits 324
% 1.08/1.75 % lits eq 47
% 1.08/1.75 % fd_pure 0
% 1.08/1.75 % fd_pseudo 0
% 1.08/1.75 % fd_cond 8
% 1.08/1.75 % fd_pseudo_cond 14
% 1.08/1.75 % AC symbols 0
% 1.08/1.75
% 1.08/1.75 % ------ Input Options Time Limit: Unbounded
% 1.08/1.75
% 1.08/1.75
% 1.08/1.75 % ------
% 1.08/1.75 % Current options:
% 1.08/1.75 % ------
% 1.08/1.75
% 1.08/1.75
% 1.08/1.75 %
% 1.08/1.75
% 1.08/1.75 % ------ Proving...
% 1.08/1.75 %
% 1.08/1.75
% 1.08/1.75 % ------ Proving...
% 1.08/1.75 %
% 1.08/1.75
% 1.08/1.75 % ------ Proving...
% 1.08/1.75 %
% 1.08/1.75
% 1.08/1.75 % SZS status Theorem for theBenchmark.p
% 1.08/1.75
% 1.08/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.08/1.76
% 1.08/1.76
%------------------------------------------------------------------------------