%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM541+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 : Thu Sep 24 01:40:55 PM UTC 2026
% Result : Theorem 0.12s 10.57s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 10
% Syntax : Number of formulae : 98 ( 8 unt; 1 def)
% Number of atoms : 366 ( 43 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 488 ( 220 ~; 214 |; 35 &)
% ( 8 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% 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 : 101 ( 99 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( szszuzczcdt0(W0) != sz00
& aElementOf0(szszuzczcdt0(W0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> W0 != szszuzczcdt0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aElementOf0(W0,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
<=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aElementOf0(W0,szNzAzT0) )
=> ( ( sdtlseqdt0(W1,W0)
& sdtlseqdt0(W0,W1) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [W0,W1,W2] :
( ( aElementOf0(W2,szNzAzT0)
& aElementOf0(W1,szNzAzT0)
& aElementOf0(W0,szNzAzT0) )
=> ( ( sdtlseqdt0(W1,W2)
& sdtlseqdt0(W0,W1) )
=> sdtlseqdt0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aElementOf0(W0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(W1),W0)
| sdtlseqdt0(W0,W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,definition,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( W1 = slbdtrb0(W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
<=> ( sdtlseqdt0(szszuzczcdt0(W2),W0)
& aElementOf0(W2,szNzAzT0) ) )
& aSet0(W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,conjecture,
( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
<=> ( xm = xn
| aElementOf0(xm,slbdtrb0(xn)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
~ ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
<=> ( xm = xn
| aElementOf0(xm,slbdtrb0(xn)) ) ),
inference(negated_conjecture,[status(cth)],[f54]) ).
fof(f135,plain,
! [W0] :
( ( szszuzczcdt0(W0) != sz00
& aElementOf0(szszuzczcdt0(W0),szNzAzT0) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f136,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f144,plain,
! [W0] :
( W0 != szszuzczcdt0(W0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f145,plain,
! [X0] :
( X0 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f152,plain,
! [W0,W1] :
( ( sdtlseqdt0(W0,W1)
<=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) )
| ~ aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f153,plain,
! [W0,W1] :
( ( ( ~ sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1))
| sdtlseqdt0(W0,W1) )
& ( sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1))
| ~ sdtlseqdt0(W0,W1) ) )
| ~ aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(NNF_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f156,plain,
! [W0] :
( sdtlseqdt0(W0,szszuzczcdt0(W0))
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f157,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f160,plain,
! [W0,W1] :
( W0 = W1
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f161,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
! [W0,W1,W2] :
( sdtlseqdt0(W0,W2)
| ~ sdtlseqdt0(W1,W2)
| ~ sdtlseqdt0(W0,W1)
| ~ aElementOf0(W2,szNzAzT0)
| ~ aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f163,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
! [W0,W1] :
( sdtlseqdt0(szszuzczcdt0(W1),W0)
| sdtlseqdt0(W0,W1)
| ~ aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f165,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f208,plain,
! [W0] :
( ! [W1] :
( W1 = slbdtrb0(W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
<=> ( sdtlseqdt0(szszuzczcdt0(W2),W0)
& aElementOf0(W2,szNzAzT0) ) )
& aSet0(W1) ) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f209,plain,
! [W0] :
( ! [W1] :
( ( ? [W2] :
( ( ( sdtlseqdt0(szszuzczcdt0(W2),W0)
& aElementOf0(W2,szNzAzT0) )
| aElementOf0(W2,W1) )
& ( ~ sdtlseqdt0(szszuzczcdt0(W2),W0)
| ~ aElementOf0(W2,szNzAzT0)
| ~ aElementOf0(W2,W1) ) )
| ~ aSet0(W1)
| W1 = slbdtrb0(W0) )
& ( ( ! [W2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(W2),W0)
| ~ aElementOf0(W2,szNzAzT0)
| aElementOf0(W2,W1) )
& ( ( sdtlseqdt0(szszuzczcdt0(W2),W0)
& aElementOf0(W2,szNzAzT0) )
| ~ aElementOf0(W2,W1) ) )
& aSet0(W1) )
| W1 != slbdtrb0(W0) ) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(NNF_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
! [W0] :
( ( ! [W1] :
( ? [W2] :
( ( ( sdtlseqdt0(szszuzczcdt0(W2),W0)
& aElementOf0(W2,szNzAzT0) )
| aElementOf0(W2,W1) )
& ( ~ sdtlseqdt0(szszuzczcdt0(W2),W0)
| ~ aElementOf0(W2,szNzAzT0)
| ~ aElementOf0(W2,W1) ) )
| ~ aSet0(W1)
| W1 = slbdtrb0(W0) )
& ! [W1] :
( ( ! [W2] :
( ~ sdtlseqdt0(szszuzczcdt0(W2),W0)
| ~ aElementOf0(W2,szNzAzT0)
| aElementOf0(W2,W1) )
& ! [W2] :
( ( sdtlseqdt0(szszuzczcdt0(W2),W0)
& aElementOf0(W2,szNzAzT0) )
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| W1 != slbdtrb0(W0) ) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(miniscoping,[status(thm)],[f209]) ).
fof(f211,plain,
! [W0] :
( ( ! [W1] :
( ( ( ( sdtlseqdt0(szszuzczcdt0(sK8_skl(W1,W0)),W0)
& aElementOf0(sK8_skl(W1,W0),szNzAzT0) )
| aElementOf0(sK8_skl(W1,W0),W1) )
& ( ~ sdtlseqdt0(szszuzczcdt0(sK8_skl(W1,W0)),W0)
| ~ aElementOf0(sK8_skl(W1,W0),szNzAzT0)
| ~ aElementOf0(sK8_skl(W1,W0),W1) ) )
| ~ aSet0(W1)
| W1 = slbdtrb0(W0) )
& ! [W1] :
( ( ! [W2] :
( ~ sdtlseqdt0(szszuzczcdt0(W2),W0)
| ~ aElementOf0(W2,szNzAzT0)
| aElementOf0(W2,W1) )
& ! [W2] :
( ( sdtlseqdt0(szszuzczcdt0(W2),W0)
& aElementOf0(W2,szNzAzT0) )
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| W1 != slbdtrb0(W0) ) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(W2,sK8_skl(W1,W0))],[f210]) ).
fof(f213,plain,
! [X0,X1,X2] :
( aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1)
| X1 != slbdtrb0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f214,plain,
! [X0,X1,X2] :
( sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1)
| X1 != slbdtrb0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f215,plain,
! [X0,X1,X2] :
( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X2,X1)
| X1 != slbdtrb0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f222,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f223,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f224,plain,
( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
<~> ( xm = xn
| aElementOf0(xm,slbdtrb0(xn)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f55]) ).
fof(f225,plain,
( ( ( xm != xn
& ~ aElementOf0(xm,slbdtrb0(xn)) )
| ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
& ( xm = xn
| aElementOf0(xm,slbdtrb0(xn))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ) ),
inference(NNF_transformation,[status(thm)],[f224]) ).
fof(f226,plain,
( xm = xn
| aElementOf0(xm,slbdtrb0(xn))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f227,plain,
( ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f228,plain,
( xm != xn
| ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f253,plain,
! [X0,X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(destructive_equality_resolution,[status(thm)],[f213]) ).
fof(f254,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(destructive_equality_resolution,[status(thm)],[f214]) ).
fof(f255,plain,
! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(destructive_equality_resolution,[status(thm)],[f215]) ).
fof(f315,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(resolution,[status(thm)],[f254,f155]) ).
fof(f316,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f315,f253]) ).
fof(f322,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(resolution,[status(thm)],[f255,f154]) ).
fof(f324,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[f255,f165]) ).
fof(f327,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(duplicate_literals_removal,[status(thm)],[f322]) ).
fof(f328,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f327,f136]) ).
fof(f329,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(duplicate_literals_removal,[status(thm)],[f324]) ).
fof(f341,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f316,f136]) ).
fof(f344,plain,
( xm = xn
| aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[f341,f226]) ).
fof(f346,plain,
( xm = xn
| aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[f344,f223]) ).
fof(f383,plain,
( ~ aElementOf0(xm,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[f328,f227]) ).
fof(f384,plain,
( xm != xn
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[f328,f228]) ).
fof(f388,plain,
( ~ aElementOf0(xm,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f383,f253]) ).
fof(f389,plain,
( xm != xn
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f384,f222]) ).
fof(f399,plain,
( xm != xn
| ~ sdtlseqdt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f223]) ).
fof(f414,plain,
( ~ aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[f329,f227]) ).
fof(f415,plain,
( xm != xn
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[f329,f228]) ).
fof(f421,plain,
( ~ aElementOf0(xm,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f414,f222]) ).
fof(f422,plain,
( xm != xn
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f415,f222]) ).
fof(f466,plain,
( ~ aElementOf0(xm,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[f388,f223]) ).
fof(f468,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ sdtlseqdt0(xm,xn) ),
inference(resolution,[status(thm)],[f466,f329]) ).
fof(f469,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f223]) ).
fof(f470,plain,
( sdtlseqdt0(xn,xm)
| ~ sdtlseqdt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f222]) ).
fof(f474,plain,
( xm = xn
| sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[f421,f346]) ).
fof(f477,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f474,f422]) ).
fof(f805,plain,
( ~ sdtlseqdt0(xm,xn)
| xn = xm
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[f161,f470]) ).
fof(f821,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| X0 = szszuzczcdt0(X0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[f161,f157]) ).
fof(f852,plain,
( xn = xm
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(duplicate_literals_removal,[status(thm)],[f805]) ).
fof(f853,plain,
( xn = xm
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f852,f223]) ).
fof(f869,plain,
! [X0] :
( X0 = szszuzczcdt0(X0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(duplicate_literals_removal,[status(thm)],[f821]) ).
fof(f870,plain,
! [X0] :
( X0 = szszuzczcdt0(X0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f869,f136]) ).
fof(f1074,plain,
( xm = xn
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(backward_subsumption_resolution,[status(thm)],[f346,f1076]) ).
fof(f1075,plain,
~ sdtlseqdt0(xm,xn),
inference(backward_subsumption_resolution,[status(thm)],[f399,f1076]) ).
fof(f1076,plain,
( xn = xm
| ~ sdtlseqdt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[f853,f222]) ).
fof(f1079,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(backward_subsumption_resolution,[status(thm)],[f477,f1075]) ).
fof(f1080,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(xm,X0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[f1075,f163]) ).
fof(f1081,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(xm,X0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1080,f222]) ).
fof(f1092,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f870,f145]) ).
fof(f1094,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[f1092,f254]) ).
fof(f1098,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(duplicate_literals_removal,[status(thm)],[f1094]) ).
fof(f1107,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xn,slbdtrb0(xm))
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[f1079,f255]) ).
fof(f1112,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xn,slbdtrb0(xm))
| ~ aElementOf0(xm,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1107,f136]) ).
fof(f1265,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xn,slbdtrb0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1112,f222]) ).
fof(f1268,plain,
! [X0] :
( ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(xm,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1081,f223]) ).
fof(f1269,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(resolution,[status(thm)],[f1268,f157]) ).
fof(f1280,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[f1269,f136]) ).
fof(f1305,plain,
~ sdtlseqdt0(szszuzczcdt0(xm),xn),
inference(forward_subsumption_resolution,[status(thm)],[f1280,f222]) ).
fof(f1306,plain,
( ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[f1305,f254]) ).
fof(f1309,plain,
~ aElementOf0(xm,slbdtrb0(xn)),
inference(forward_subsumption_resolution,[status(thm)],[f1306,f223]) ).
fof(f1312,plain,
xm = xn,
inference(backward_subsumption_resolution,[status(thm)],[f1074,f1309]) ).
fof(f1319,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(xn,slbdtrb0(xm)) ),
inference(backward_demodulation,[status(thm)],[f1312,f1265]) ).
fof(f1335,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(xm,slbdtrb0(xm)) ),
inference(forward_demodulation,[status(thm)],[f1312,f1319]) ).
fof(f1336,plain,
~ aElementOf0(xm,szNzAzT0),
inference(forward_subsumption_resolution,[status(thm)],[f1335,f1098]) ).
fof(f1345,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1336,f222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM541+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/10.35 % Computer : n026.cluster.edu
% 0.08/10.35 % Model : x86_64 x86_64
% 0.08/10.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.35 % Memory : 8046.5625MB
% 0.08/10.35 % OS : Linux 6.8.0-71-generic
% 0.08/10.35 % CPULimit : 300
% 0.08/10.35 % WCLimit : 300
% 0.08/10.35 % DateTime : Mon Sep 21 02:41:48 UTC 2026
% 0.08/10.36 % CPUTime :
% 0.08/10.37 % Drodi V4.1.1
% 0.12/10.57 % Refutation found
% 0.12/10.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/10.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/10.59 % Elapsed time: 0.222978 seconds
% 0.12/10.59 % CPU time: 1.533269 seconds
% 0.12/10.59 % Total memory used: 132.319 MB
% 0.12/10.59 % Net memory used: 130.268 MB
%------------------------------------------------------------------------------