%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM597+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 : Sun Sep 27 08:13:16 AM UTC 2026
% Result : Theorem 55.39s 7.49s
% Output : CNFRefutation 55.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 60 ( 8 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 53 ( 18 ~; 16 |; 10 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mImgRng,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ) ).
fof(m__4730,hypothesis,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X1) )
=> sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ) ).
fof(m__4758,hypothesis,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( sdtlpdtrp0(xd,X1) = X0
& aElementOf0(X1,szDzozmdt0(xd)) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ) ).
fof(m__4868,hypothesis,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) )
=> ~ ? [X0] : aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
fof(m__,conjecture,
aElementOf0(szDzizrdt0(xd),xT) ).
fof(negated_conjecture,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c158,plain,
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(clausification,[status(esa)],[mImgRng]) ).
cnf(c376,plain,
aFunction0(xd),
inference(clausification,[status(esa)],[m__4730]) ).
cnf(c377,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(clausification,[status(esa)],[m__4730]) ).
cnf(c386,plain,
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(clausification,[status(esa)],[m__4758]) ).
cnf(c389,plain,
( aElementOf0(X0,szDzozmdt0(xd))
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(clausification,[status(esa)],[m__4868]) ).
cnf(c390,plain,
( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(clausification,[status(esa)],[m__4868]) ).
cnf(c392,plain,
aElementOf0(sK271,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(clausification,[status(esa)],[m__4868]) ).
cnf(c393,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szNzAzT0)) ),
inference(demodulation,[status(thm)],[c386,c377]) ).
cnf(d1,plain,
sdtlpdtrp0(xd,sK271) = szDzizrdt0(xd),
inference(resolution,[status(thm)],[c390,c392]) ).
cnf(d2,plain,
( ~ aFunction0(xd)
| ~ aElementOf0(sK271,szDzozmdt0(xd))
| aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(superposition,[status(thm)],[d1,c158]) ).
cnf(d3,plain,
( ~ aFunction0(xd)
| ~ aElementOf0(sK271,szDzozmdt0(xd))
| aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0)) ),
inference(demodulation,[status(thm)],[d2,c377]) ).
cnf(d4,plain,
( ~ aFunction0(xd)
| ~ aElementOf0(sK271,szNzAzT0)
| aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0)) ),
inference(demodulation,[status(thm)],[d3,c377]) ).
cnf(d5,plain,
( ~ aElementOf0(sK271,szNzAzT0)
| aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0)) ),
inference(resolution,[status(thm)],[c376,d4]) ).
cnf(d6,plain,
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(X0,szNzAzT0) ),
inference(demodulation,[status(thm)],[c389,c377]) ).
cnf(d7,plain,
aElementOf0(sK271,szNzAzT0),
inference(resolution,[status(thm)],[d6,c392]) ).
cnf(d8,plain,
aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0)),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c393,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM597+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n001.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 03:29:28 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.39/7.49 % SZS status Theorem for theBenchmark.p
% 55.39/7.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------