%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM541+2 : 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 : 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 : Fri Sep 25 02:25:56 PM UTC 2026
% Result : Theorem 3.80s 1.19s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 87 ( 10 unt; 1 def)
% Number of atoms : 323 ( 41 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 412 ( 176 ~; 178 |; 42 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 76 ( 0 sgn 76 !; 0 ?; 27 :)
% 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(f53,axiom,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1936) ).
fof(f54,conjecture,
( ( ( xm = xn
| ( aElementOf0(xm,slbdtrb0(xn))
& sdtlseqdt0(szszuzczcdt0(xm),xn) ) )
=> ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ) )
& ( ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
=> ( xm = xn
| aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),xn) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f55,negated_conjecture,
~ ( ( ( xm = xn
| ( aElementOf0(xm,slbdtrb0(xn))
& sdtlseqdt0(szszuzczcdt0(xm),xn) ) )
=> ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ) )
& ( ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
=> ( xm = xn
| aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),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(f129,plain,
( ( ( xm = xn
| ( aElementOf0(xm,slbdtrb0(xn))
& sdtlseqdt0(szszuzczcdt0(xm),xn) ) )
& ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
| ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& xm != xn
& ~ aElementOf0(xm,slbdtrb0(xn))
& ~ sdtlseqdt0(szszuzczcdt0(xm),xn) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f130,plain,
( ( ( xm = xn
| ( aElementOf0(xm,slbdtrb0(xn))
& sdtlseqdt0(szszuzczcdt0(xm),xn) ) )
& ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
| ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& xm != xn
& ~ aElementOf0(xm,slbdtrb0(xn))
& ~ sdtlseqdt0(szszuzczcdt0(xm),xn) ) ),
inference(flattening,[],[f129]) ).
fof(f160,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(f226,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f233,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f234,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f235,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f236,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f237,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f238,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(f239,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f268,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f53]) ).
fof(f269,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f53]) ).
fof(f276,plain,
( xm = xn
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| sP4 ),
inference(cnf_transformation,[],[f138]) ).
fof(f277,plain,
( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| sP4 ),
inference(cnf_transformation,[],[f138]) ).
fof(f278,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| sP4 ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_97,plain,
! [X0: $i] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f226]) ).
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,[],[f234]) ).
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,[],[f233]) ).
tcf(c_107,plain,
! [X0: $i] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_108,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f236]) ).
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,[],[f237]) ).
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,[],[f238]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_140,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f269]) ).
tcf(c_141,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f268]) ).
tcf(c_147,negated_conjecture,
( sP4
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_148,negated_conjecture,
( sP4
| ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_149,negated_conjecture,
( sP4
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| ( xm = xn ) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_233,plain,
sdtlseqdt0(xm,xm),
inference(superposition,[status(thm)],[c_140,c_108]) ).
tcf(c_315,plain,
( sP4
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[status(thm)],[c_106,c_147]) ).
tcf(c_348,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_351,plain,
( sP4
| ( xm = xn )
| ( szszuzczcdt0(xm) = xn )
| ~ aElementOf0(xn,szNzAzT0)
| ~ sdtlseqdt0(xn,szszuzczcdt0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(superposition,[status(thm)],[c_149,c_109]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,szszuzczcdt0(X1))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(X0,szszuzczcdt0(X1)) ),
inference(superposition,[status(thm)],[c_97,c_110]) ).
tcf(c_534,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_348,c_97,c_348]) ).
tcf(c_542,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_534,c_97]) ).
tcf(c_558,plain,
! [X0: $i,X1: $i] :
( ( szszuzczcdt0(X0) = szszuzczcdt0(X1) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_106,c_542]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_107,c_367]) ).
tcf(c_854,plain,
( sP4
| ( xm = xn )
| ( szszuzczcdt0(szszuzczcdt0(xm)) = szszuzczcdt0(xn) )
| ~ aElementOf0(xn,szNzAzT0)
| ~ sdtlseqdt0(xn,szszuzczcdt0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(superposition,[status(thm)],[c_149,c_558]) ).
tcf(c_1008,plain,
( sP4
| ~ aElementOf0(xn,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(superposition,[status(thm)],[c_611,c_147]) ).
fof(f137,definition,
( ~ sP4
| ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& xm != xn
& ~ aElementOf0(xm,slbdtrb0(xn))
& ~ sdtlseqdt0(szszuzczcdt0(xm),xn) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f138,plain,
( ( ( xm = xn
| ( aElementOf0(xm,slbdtrb0(xn))
& sdtlseqdt0(szszuzczcdt0(xm),xn) ) )
& ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
| sP4 ),
inference(definition_folding,[],[f130,f137]) ).
fof(f176,plain,
( ~ sP4
| ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& xm != xn
& ~ aElementOf0(xm,slbdtrb0(xn))
& ~ sdtlseqdt0(szszuzczcdt0(xm),xn) ) ),
inference(nnf_transformation,[],[f137]) ).
fof(f270,plain,
( ~ sP4
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
inference(cnf_transformation,[],[f176]) ).
fof(f271,plain,
( ~ sP4
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(cnf_transformation,[],[f176]) ).
fof(f272,plain,
( ~ sP4
| xm != xn ),
inference(cnf_transformation,[],[f176]) ).
fof(f274,plain,
( ~ sP4
| ~ sdtlseqdt0(szszuzczcdt0(xm),xn) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_142,plain,
( ~ sP4
| ~ sdtlseqdt0(szszuzczcdt0(xm),xn) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_144,plain,
( ~ sP4
| ( xm != xn ) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_145,plain,
( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ sP4 ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_146,plain,
( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ~ sP4 ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_291,plain,
( sdtlseqdt0(xn,xm)
| ~ sP4
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[status(thm)],[c_111,c_142]) ).
tcf(c_328,plain,
( sdtlseqdt0(xm,xn)
| ~ sP4
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[status(thm)],[c_145,c_105]) ).
tcf(c_388,plain,
( sdtlseqdt0(xn,xm)
| ~ sP4 ),
inference(global_subsumption_just,[status(thm)],[c_291,c_141,c_140,c_291]) ).
tcf(c_394,plain,
( ( xm = xn )
| ~ sP4
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[status(thm)],[c_388,c_109]) ).
tcf(c_395,negated_conjecture,
~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))),
inference(global_subsumption_just,[status(thm)],[c_148,c_141,c_140,c_148,c_144,c_328,c_394]) ).
tcf(c_448,plain,
~ sdtlseqdt0(xm,xn),
inference(global_subsumption_just,[status(thm)],[c_315,c_141,c_140,c_144,c_315,c_328,c_394]) ).
tcf(c_485,plain,
( ~ sdtlseqdt0(xn,szszuzczcdt0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ( szszuzczcdt0(xm) = xn )
| ( xm = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_351,c_141,c_146,c_351,c_395]) ).
tcf(c_486,plain,
( ( xm = xn )
| ( szszuzczcdt0(xm) = xn )
| ~ sdtlseqdt0(xn,szszuzczcdt0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(renaming,[status(thm)],[c_485]) ).
tcf(c_1014,plain,
( ( xm = xn )
| ( szszuzczcdt0(xm) = xn )
| ~ sdtlseqdt0(xn,xm)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(superposition,[status(thm)],[c_611,c_486]) ).
tcf(c_1910,plain,
( ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ( xm = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_854,c_141,c_140,c_144,c_149,c_328,c_394,c_1008]) ).
tcf(c_1911,plain,
( ( xm = xn )
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(renaming,[status(thm)],[c_1910]) ).
tcf(c_1916,plain,
( ( xm = xn )
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[status(thm)],[c_97,c_1911]) ).
tcf(c_3068,plain,
xm = xn,
inference(global_subsumption_just,[status(thm)],[c_1014,c_140,c_1916]) ).
tcf(c_3081,plain,
~ sdtlseqdt0(xm,xm),
inference(superposition,[status(thm)],[c_3068,c_448]) ).
tcf(c_3092,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_233,c_3081]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM541+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 04:34:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.80/1.19 % SZS status Started for theBenchmark.p
% 3.80/1.19 % SZS status Theorem for theBenchmark.p
% 3.80/1.19
% 3.80/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.80/1.19
% 3.80/1.19 % ------ iProver source info
% 3.80/1.19
% 3.80/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.80/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.80/1.19 % git: non_committed_changes: false
% 3.80/1.19
% 3.80/1.19 % ------ Parsing...
% 3.80/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.80/1.19 % ------ Proving...
% 3.80/1.19 % ------ Problem Properties
% 3.80/1.19
% 3.80/1.19 %
% 3.80/1.19 % clauses 102
% 3.80/1.19 % conjectures 4
% 3.80/1.19 % EPR 34
% 3.80/1.19 % Horn 74
% 3.80/1.19 % unary 9
% 3.80/1.19 % binary 25
% 3.80/1.19 % lits 337
% 3.80/1.19 % lits eq 48
% 3.80/1.19 % fd_pure 0
% 3.80/1.19 % fd_pseudo 0
% 3.80/1.19 % fd_cond 8
% 3.80/1.19 % fd_pseudo_cond 14
% 3.80/1.19 % AC symbols 0
% 3.80/1.19
% 3.80/1.19 % ------ Input Options Time Limit: Unbounded
% 3.80/1.19
% 3.80/1.19
% 3.80/1.19 % ------
% 3.80/1.19 % Current options:
% 3.80/1.19 % ------
% 3.80/1.19
% 3.80/1.19
% 3.80/1.19 %
% 3.80/1.19
% 3.80/1.19 % ------ Proving...
% 3.80/1.19 %
% 3.80/1.19
% 3.80/1.19 % SZS status Theorem for theBenchmark.p
% 3.80/1.19
% 3.80/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.19
% 3.80/1.19
%------------------------------------------------------------------------------