%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM563+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 : n014.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 01:41:00 PM UTC 2026
% Result : Theorem 142.71s 18.56s
% Output : CNFRefutation 142.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 15
% Syntax : Number of formulae : 111 ( 33 unt; 3 def)
% Number of atoms : 355 ( 85 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 419 ( 175 ~; 159 |; 60 &)
% ( 10 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 139 ( 127 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,definition,
! [W0] :
( W0 = slcrc0
<=> ( ~ ? [W1] : aElementOf0(W1,W0)
& aSet0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0] :
( ( isCountable0(W0)
& aSet0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) )
& aSet0(W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [W0] :
( aSet0(W0)
=> ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,definition,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aSet0(W0) )
=> ! [W2] :
( W2 = slbdtsldtrb0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( sbrdtbr0(W3) = W1
& aSubsetOf0(W3,W0) ) )
& aSet0(W2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [W0] :
( ( ~ isFinite0(W0)
& aSet0(W0) )
=> ! [W1] :
( aElementOf0(W1,szNzAzT0)
=> slbdtsldtrb0(W0,W1) != slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [W0] :
( aFunction0(W0)
=> aSet0(szDzozmdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,axiom,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( aElementOf0(W1,szDzozmdt0(W0))
=> aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,hypothesis,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,hypothesis,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,hypothesis,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aFunction0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,conjecture,
( xK = sz00
=> ? [W0] :
( ? [W1] :
( ! [W2] :
( aElementOf0(W2,slbdtsldtrb0(W1,xK))
=> sdtlpdtrp0(xc,W2) = W0 )
& isCountable0(W1)
& aSubsetOf0(W1,xS) )
& aElementOf0(W0,xT) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
~ ( xK = sz00
=> ? [W0] :
( ? [W1] :
( ! [W2] :
( aElementOf0(W2,slbdtsldtrb0(W1,xK))
=> sdtlpdtrp0(xc,W2) = W0 )
& isCountable0(W1)
& aSubsetOf0(W1,xS) )
& aElementOf0(W0,xT) ) ),
inference(negated_conjecture,[status(cth)],[f78]) ).
fof(f90,plain,
! [W0] :
( W0 = slcrc0
<=> ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f91,plain,
! [W0] :
( ( ? [W1] : aElementOf0(W1,W0)
| ~ aSet0(W0)
| W0 = slcrc0 )
& ( ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) )
| W0 != slcrc0 ) ),
inference(NNF_transformation,[status(thm)],[f90]) ).
fof(f92,plain,
( ! [W0] :
( ? [W1] : aElementOf0(W1,W0)
| ~ aSet0(W0)
| W0 = slcrc0 )
& ! [W0] :
( ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) )
| W0 != slcrc0 ) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f93,plain,
( ! [W0] :
( aElementOf0(sK0_skl(W0),W0)
| ~ aSet0(W0)
| W0 = slcrc0 )
& ! [W0] :
( ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) )
| W0 != slcrc0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f92]) ).
fof(f96,plain,
! [X0] :
( ~ aSet0(X0)
| slcrc0 = X0
| aElementOf0(sK0_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f100,plain,
! [W0] :
( ~ isFinite0(W0)
| ~ isCountable0(W0)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f101,plain,
! [X0] :
( ~ aSet0(X0)
| ~ isFinite0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f104,plain,
! [W0] :
( ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) ) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f105,plain,
! [W0] :
( ! [W1] :
( ( ? [W2] :
( ~ aElementOf0(W2,W0)
& aElementOf0(W2,W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
! [W0] :
( ( ! [W1] :
( ? [W2] :
( ~ aElementOf0(W2,W0)
& aElementOf0(W2,W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ! [W1] :
( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f105]) ).
fof(f107,plain,
! [W0] :
( ( ! [W1] :
( ( ~ aElementOf0(sK1_skl(W1,W0),W0)
& aElementOf0(sK1_skl(W1,W0),W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ! [W1] :
( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1)
| aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ aSet0(X1)
| ~ aElementOf0(X2,X0)
| aElementOf0(X2,X1)
| ~ aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f114,plain,
! [W0] :
( aSubsetOf0(W0,W0)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f115,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f156,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f200,plain,
! [W0] :
( ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f201,plain,
! [W0] :
( ( ( W0 != slcrc0
| sbrdtbr0(W0) = sz00 )
& ( W0 = slcrc0
| sbrdtbr0(W0) != sz00 ) )
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
! [X0] :
( ~ aSet0(X0)
| X0 = slcrc0
| sz00 != sbrdtbr0(X0) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f261,plain,
! [W0,W1] :
( ! [W2] :
( W2 = slbdtsldtrb0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( sbrdtbr0(W3) = W1
& aSubsetOf0(W3,W0) ) )
& aSet0(W2) ) )
| ~ aElementOf0(W1,szNzAzT0)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f57]) ).
fof(f262,plain,
! [W0,W1] :
( ! [W2] :
( ( ? [W3] :
( ( ( sbrdtbr0(W3) = W1
& aSubsetOf0(W3,W0) )
| aElementOf0(W3,W2) )
& ( sbrdtbr0(W3) != W1
| ~ aSubsetOf0(W3,W0)
| ~ aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = slbdtsldtrb0(W0,W1) )
& ( ( ! [W3] :
( ( sbrdtbr0(W3) != W1
| ~ aSubsetOf0(W3,W0)
| aElementOf0(W3,W2) )
& ( ( sbrdtbr0(W3) = W1
& aSubsetOf0(W3,W0) )
| ~ aElementOf0(W3,W2) ) )
& aSet0(W2) )
| W2 != slbdtsldtrb0(W0,W1) ) )
| ~ aElementOf0(W1,szNzAzT0)
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f261]) ).
fof(f263,plain,
! [W0,W1] :
( ( ! [W2] :
( ? [W3] :
( ( ( sbrdtbr0(W3) = W1
& aSubsetOf0(W3,W0) )
| aElementOf0(W3,W2) )
& ( sbrdtbr0(W3) != W1
| ~ aSubsetOf0(W3,W0)
| ~ aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = slbdtsldtrb0(W0,W1) )
& ! [W2] :
( ( ! [W3] :
( sbrdtbr0(W3) != W1
| ~ aSubsetOf0(W3,W0)
| aElementOf0(W3,W2) )
& ! [W3] :
( ( sbrdtbr0(W3) = W1
& aSubsetOf0(W3,W0) )
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != slbdtsldtrb0(W0,W1) ) )
| ~ aElementOf0(W1,szNzAzT0)
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f262]) ).
fof(f264,plain,
! [W0,W1] :
( ( ! [W2] :
( ( ( ( sbrdtbr0(sK10_skl(W2,W1,W0)) = W1
& aSubsetOf0(sK10_skl(W2,W1,W0),W0) )
| aElementOf0(sK10_skl(W2,W1,W0),W2) )
& ( sbrdtbr0(sK10_skl(W2,W1,W0)) != W1
| ~ aSubsetOf0(sK10_skl(W2,W1,W0),W0)
| ~ aElementOf0(sK10_skl(W2,W1,W0),W2) ) )
| ~ aSet0(W2)
| W2 = slbdtsldtrb0(W0,W1) )
& ! [W2] :
( ( ! [W3] :
( sbrdtbr0(W3) != W1
| ~ aSubsetOf0(W3,W0)
| aElementOf0(W3,W2) )
& ! [W3] :
( ( sbrdtbr0(W3) = W1
& aSubsetOf0(W3,W0) )
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != slbdtsldtrb0(W0,W1) ) )
| ~ aElementOf0(W1,szNzAzT0)
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(W3,sK10_skl(W2,W1,W0))],[f263]) ).
fof(f266,plain,
! [X0,X1,X2,X3] :
( aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2)
| X2 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f267,plain,
! [X0,X1,X2,X3] :
( sbrdtbr0(X3) = X1
| ~ aElementOf0(X3,X2)
| X2 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f274,plain,
! [W0] :
( ! [W1] :
( slbdtsldtrb0(W0,W1) != slcrc0
| ~ aElementOf0(W1,szNzAzT0) )
| isFinite0(W0)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f59]) ).
fof(f275,plain,
! [X0,X1] :
( slbdtsldtrb0(X0,X1) != slcrc0
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| isFinite0(X0) ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f288,plain,
! [W0] :
( aSet0(szDzozmdt0(W0))
| ~ aFunction0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f64]) ).
fof(f289,plain,
! [X0] :
( ~ aFunction0(X0)
| aSet0(szDzozmdt0(X0)) ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f316,plain,
! [W0] :
( ! [W1] :
( aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0)))
| ~ aElementOf0(W1,szDzozmdt0(W0)) )
| ~ aFunction0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f69]) ).
fof(f317,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X1,X0),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f336,plain,
aSet0(xT),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f338,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f339,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f340,plain,
isCountable0(xS),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f341,plain,
aFunction0(xc),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f342,plain,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f343,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f350,plain,
( ! [W0] :
( ! [W1] :
( ? [W2] :
( sdtlpdtrp0(xc,W2) != W0
& aElementOf0(W2,slbdtsldtrb0(W1,xK)) )
| ~ isCountable0(W1)
| ~ aSubsetOf0(W1,xS) )
| ~ aElementOf0(W0,xT) )
& xK = sz00 ),
inference(pre_NNF_transformation,[status(thm)],[f79]) ).
fof(f351,plain,
( ! [W0] :
( ! [W1] :
( ( sdtlpdtrp0(xc,sK21_skl(W1,W0)) != W0
& aElementOf0(sK21_skl(W1,W0),slbdtsldtrb0(W1,xK)) )
| ~ isCountable0(W1)
| ~ aSubsetOf0(W1,xS) )
| ~ aElementOf0(W0,xT) )
& xK = sz00 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl]),skolemize(W2,sK21_skl(W1,W0))],[f350]) ).
fof(f352,plain,
xK = sz00,
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f353,plain,
! [X0,X1] :
( ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(X0,xS)
| aElementOf0(sK21_skl(X0,X1),slbdtsldtrb0(X0,xK))
| ~ isCountable0(X0) ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f354,plain,
! [X0,X1] :
( X0 != sdtlpdtrp0(xc,sK21_skl(X1,X0))
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f376,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(X1,X0))
| X0 = sbrdtbr0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(destructive_equality_resolution,[status(thm)],[f267]) ).
fof(f383,plain,
! [X0,X1,X2] :
( aSubsetOf0(X2,X0)
| ~ aElementOf0(X2,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f266]) ).
fof(f386,plain,
aElementOf0(sz00,szNzAzT0),
inference(backward_demodulation,[status(thm)],[f352,f338]) ).
fof(f387,plain,
slbdtsldtrb0(xS,sz00) = szDzozmdt0(xc),
inference(backward_demodulation,[status(thm)],[f352,f342]) ).
fof(f388,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X0)
| aElementOf0(sK21_skl(X0,X1),slbdtsldtrb0(X0,sz00)) ),
inference(backward_demodulation,[status(thm)],[f352,f353]) ).
fof(f422,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0) ),
inference(resolution,[status(thm)],[f108,f156]) ).
fof(f424,plain,
aSet0(szDzozmdt0(xc)),
inference(resolution,[status(thm)],[f289,f341]) ).
fof(f433,plain,
aSet0(xS),
inference(resolution,[status(thm)],[f422,f339]) ).
fof(f434,plain,
! [X0] :
( ~ aSubsetOf0(X0,xS)
| aSet0(X0) ),
inference(resolution,[status(thm)],[f433,f108]) ).
fof(f435,plain,
aSubsetOf0(xS,xS),
inference(resolution,[status(thm)],[f433,f115]) ).
fof(f436,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| ~ isCountable0(xS)
| aElementOf0(sK21_skl(xS,X0),slbdtsldtrb0(xS,sz00)) ),
inference(resolution,[status(thm)],[f435,f388]) ).
fof(f437,plain,
! [X0] :
( X0 != sdtlpdtrp0(xc,sK21_skl(xS,X0))
| ~ isCountable0(xS)
| ~ aElementOf0(X0,xT) ),
inference(resolution,[status(thm)],[f435,f354]) ).
fof(f438,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| X0 != sdtlpdtrp0(xc,sK21_skl(xS,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f340]) ).
fof(f439,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| ~ isCountable0(xS)
| aElementOf0(sK21_skl(xS,X0),szDzozmdt0(xc)) ),
inference(forward_demodulation,[status(thm)],[f387,f436]) ).
fof(f440,plain,
! [X0] :
( aElementOf0(sK21_skl(xS,X0),szDzozmdt0(xc))
| ~ aElementOf0(X0,xT) ),
inference(forward_subsumption_resolution,[status(thm)],[f439,f340]) ).
fof(f456,plain,
( ~ aSet0(xS)
| ~ isFinite0(xS) ),
inference(resolution,[status(thm)],[f101,f340]) ).
fof(f457,plain,
~ isFinite0(xS),
inference(forward_subsumption_resolution,[status(thm)],[f456,f433]) ).
fof(f554,plain,
( szDzozmdt0(xc) = slcrc0
| aElementOf0(sK0_skl(szDzozmdt0(xc)),szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[f96,f424]) ).
fof(f945,plain,
! [X0] :
( aSubsetOf0(X0,xS)
| ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(paramodulation,[status(thm)],[f387,f383]) ).
fof(f946,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSubsetOf0(X0,xS)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f433]) ).
fof(f962,plain,
! [X0] :
( ~ aSet0(xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) ),
inference(resolution,[status(thm)],[f109,f343]) ).
fof(f973,plain,
! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f336]) ).
fof(f2448,plain,
! [X0] :
( ~ aFunction0(xc)
| ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(resolution,[status(thm)],[f973,f317]) ).
fof(f2450,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(forward_subsumption_resolution,[status(thm)],[f2448,f341]) ).
fof(f2739,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sz00 = sbrdtbr0(X0)
| ~ aSet0(xS)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(paramodulation,[status(thm)],[f387,f376]) ).
fof(f2740,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSet0(xS)
| sz00 = sbrdtbr0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2739,f386]) ).
fof(f3032,plain,
! [X0] :
( slbdtsldtrb0(xS,X0) != slcrc0
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f275,f457]) ).
fof(f3044,plain,
! [X0] :
( slbdtsldtrb0(xS,X0) != slcrc0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3032,f433]) ).
fof(f3106,plain,
slbdtsldtrb0(xS,sz00) != slcrc0,
inference(resolution,[status(thm)],[f3044,f386]) ).
fof(f3114,plain,
aElementOf0(sK0_skl(szDzozmdt0(xc)),szDzozmdt0(xc)),
inference(backward_subsumption_resolution,[status(thm)],[f554,f3122]) ).
fof(f3122,plain,
slcrc0 != szDzozmdt0(xc),
inference(forward_demodulation,[status(thm)],[f387,f3106]) ).
fof(f3376,plain,
( aSubsetOf0(sK0_skl(szDzozmdt0(xc)),xS)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(resolution,[status(thm)],[f3114,f946]) ).
fof(f3382,plain,
aSubsetOf0(sK0_skl(szDzozmdt0(xc)),xS),
inference(forward_subsumption_resolution,[status(thm)],[f3376,f386]) ).
fof(f3393,plain,
aSet0(sK0_skl(szDzozmdt0(xc))),
inference(resolution,[status(thm)],[f3382,f434]) ).
fof(f3408,plain,
( sz00 != sbrdtbr0(sK0_skl(szDzozmdt0(xc)))
| sK0_skl(szDzozmdt0(xc)) = slcrc0 ),
inference(resolution,[status(thm)],[f3393,f202]) ).
fof(f3488,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sbrdtbr0(X0) = sz00 ),
inference(resolution,[status(thm)],[f2740,f433]) ).
fof(f3535,plain,
sbrdtbr0(sK0_skl(szDzozmdt0(xc))) = sz00,
inference(resolution,[status(thm)],[f3488,f3114]) ).
fof(f3537,plain,
( sz00 != sz00
| sK0_skl(szDzozmdt0(xc)) = slcrc0 ),
inference(backward_demodulation,[status(thm)],[f3535,f3408]) ).
fof(f3544,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(backward_demodulation,[status(thm)],[f3569,f3114]) ).
fof(f3569,plain,
slcrc0 = sK0_skl(szDzozmdt0(xc)),
inference(trivial_equality_resolution,[status(thm)],[f3537]) ).
fof(f4486,plain,
aElementOf0(sdtlpdtrp0(xc,slcrc0),xT),
inference(resolution,[status(thm)],[f2450,f3544]) ).
fof(f4489,plain,
aElementOf0(sK21_skl(xS,sdtlpdtrp0(xc,slcrc0)),szDzozmdt0(xc)),
inference(resolution,[status(thm)],[f4486,f440]) ).
fof(f4490,plain,
sdtlpdtrp0(xc,sK21_skl(xS,sdtlpdtrp0(xc,slcrc0))) != sdtlpdtrp0(xc,slcrc0),
inference(resolution,[status(thm)],[f4486,f438]) ).
fof(f4951,plain,
sbrdtbr0(sK21_skl(xS,sdtlpdtrp0(xc,slcrc0))) = sz00,
inference(resolution,[status(thm)],[f4489,f3488]) ).
fof(f4952,plain,
( aSubsetOf0(sK21_skl(xS,sdtlpdtrp0(xc,slcrc0)),xS)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(resolution,[status(thm)],[f4489,f946]) ).
fof(f4961,plain,
aSubsetOf0(sK21_skl(xS,sdtlpdtrp0(xc,slcrc0)),xS),
inference(forward_subsumption_resolution,[status(thm)],[f4952,f386]) ).
fof(f4976,plain,
aSet0(sK21_skl(xS,sdtlpdtrp0(xc,slcrc0))),
inference(resolution,[status(thm)],[f4961,f434]) ).
fof(f4993,plain,
( sK21_skl(xS,sdtlpdtrp0(xc,slcrc0)) = slcrc0
| sz00 != sbrdtbr0(sK21_skl(xS,sdtlpdtrp0(xc,slcrc0))) ),
inference(resolution,[status(thm)],[f4976,f202]) ).
fof(f4999,plain,
( sK21_skl(xS,sdtlpdtrp0(xc,slcrc0)) = slcrc0
| sz00 != sz00 ),
inference(forward_demodulation,[status(thm)],[f4951,f4993]) ).
fof(f5020,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0),
inference(backward_demodulation,[status(thm)],[f5021,f4490]) ).
fof(f5021,plain,
sK21_skl(xS,sdtlpdtrp0(xc,slcrc0)) = slcrc0,
inference(trivial_equality_resolution,[status(thm)],[f4999]) ).
fof(f5032,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f5020]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM563+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n014.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 02:40:21 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 142.71/18.56 % Refutation found
% 142.71/18.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 142.71/18.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 31.82/18.65 % Elapsed time: 18.181058 seconds
% 31.82/18.65 % CPU time: 143.499064 seconds
% 31.82/18.65 % Total memory used: 442.036 MB
% 31.82/18.65 % Net memory used: 398.138 MB
%------------------------------------------------------------------------------