%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG099+1 : 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 : 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 : Sun Sep 27 08:25:52 AM UTC 2026
% Result : Theorem 14.67s 2.51s
% Output : CNFRefutation 14.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 50 ( 19 unt; 2 def)
% Number of atoms : 111 ( 3 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 108 ( 47 ~; 37 |; 14 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsB,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ) ).
fof(mSortsB_02,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ) ).
fof(mEOfElem,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ) ).
fof(mDefIdeal,definition,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ) ).
fof(mDefMod,definition,
! [X0,X1,X2] :
( ( aIdeal0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ) ).
fof(m__1205,hypothesis,
( aIdeal0(xJ)
& aIdeal0(xI) ) ).
fof(m__1217,hypothesis,
( aElement0(xy)
& aElement0(xx) ) ).
fof(m__1294,hypothesis,
( sdtpldt0(xa,xb) = sz10
& aElementOf0(xb,xJ)
& aElementOf0(xa,xI) ) ).
fof(m__1319,hypothesis,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) ).
fof(m__1332,hypothesis,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI) ).
fof(m__1409,hypothesis,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ) ).
fof(m__,conjecture,
? [X0] :
( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
& sdteqdtlpzmzozddtrp0(X0,xx,xI)
& aElement0(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
& sdteqdtlpzmzozddtrp0(X0,xx,xI)
& aElement0(X0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c3,plain,
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[mSortsB]) ).
cnf(c4,plain,
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[mSortsB_02]) ).
cnf(c23,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mEOfElem]) ).
cnf(c55,plain,
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(clausification,[status(esa)],[mDefIdeal]) ).
cnf(c68,plain,
( ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ),
inference(clausification,[status(esa)],[mDefMod]) ).
cnf(c69,plain,
aIdeal0(xI),
inference(clausification,[status(esa)],[m__1205]) ).
cnf(c70,plain,
aIdeal0(xJ),
inference(clausification,[status(esa)],[m__1205]) ).
cnf(c72,plain,
aElement0(xx),
inference(clausification,[status(esa)],[m__1217]) ).
cnf(c73,plain,
aElement0(xy),
inference(clausification,[status(esa)],[m__1217]) ).
cnf(c74,plain,
aElementOf0(xa,xI),
inference(clausification,[status(esa)],[m__1294]) ).
cnf(c75,plain,
aElementOf0(xb,xJ),
inference(clausification,[status(esa)],[m__1294]) ).
cnf(c77,plain,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
inference(clausification,[status(esa)],[m__1319]) ).
cnf(c78,plain,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(clausification,[status(esa)],[m__1332]) ).
cnf(c79,plain,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
inference(clausification,[status(esa)],[m__1409]) ).
cnf(c80,plain,
( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElement0(sdtasdt0(xy,xa))
| ~ aElement0(sdtasdt0(xx,xb))
| aElement0(xw) ),
inference(superposition,[status(thm)],[c77,c3]) ).
cnf(d1,plain,
( sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aIdeal0(xI)
| ~ aElement0(xw)
| ~ aElement0(xx) ),
inference(resolution,[status(thm)],[c68,c78]) ).
cnf(d2,plain,
( sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw)
| ~ aElement0(xx) ),
inference(resolution,[status(thm)],[c69,d1]) ).
cnf(d3,plain,
( sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw) ),
inference(resolution,[status(thm)],[c72,d2]) ).
cnf(d4,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ aIdeal0(xJ)
| ~ aElement0(xw)
| ~ aElement0(xy) ),
inference(resolution,[status(thm)],[c68,c79]) ).
cnf(d5,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ aElement0(xw)
| ~ aElement0(xy) ),
inference(resolution,[status(thm)],[c70,d4]) ).
cnf(d6,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ aElement0(xw) ),
inference(resolution,[status(thm)],[c73,d5]) ).
cnf(d7,plain,
( ~ sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw)
| ~ aElement0(xw) ),
inference(resolution,[status(thm)],[d6,c80]) ).
cnf(d8,plain,
( ~ aElement0(xw)
| ~ aElement0(xw) ),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
( ~ aElement0(sdtasdt0(xy,xa))
| ~ aElement0(sdtasdt0(xx,xb)) ),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
( ~ aElement0(xy)
| ~ aElement0(xa)
| ~ aElement0(sdtasdt0(xx,xb)) ),
inference(resolution,[status(thm)],[d9,c4]) ).
cnf(d11,plain,
( ~ aElement0(xa)
| ~ aElement0(sdtasdt0(xx,xb)) ),
inference(resolution,[status(thm)],[c73,d10]) ).
cnf(d12,plain,
( ~ aSet0(xI)
| aElement0(xa) ),
inference(resolution,[status(thm)],[c23,c74]) ).
cnf(d13,plain,
aSet0(xI),
inference(resolution,[status(thm)],[c55,c69]) ).
cnf(d14,plain,
aElement0(xa),
inference(resolution,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
~ aElement0(sdtasdt0(xx,xb)),
inference(resolution,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
( ~ aElement0(xx)
| ~ aElement0(xb) ),
inference(resolution,[status(thm)],[d15,c4]) ).
cnf(d17,plain,
~ aElement0(xb),
inference(resolution,[status(thm)],[c72,d16]) ).
cnf(d18,plain,
( ~ aSet0(xJ)
| aElement0(xb) ),
inference(resolution,[status(thm)],[c23,c75]) ).
cnf(d19,plain,
aSet0(xJ),
inference(resolution,[status(thm)],[c55,c70]) ).
cnf(d20,plain,
aElement0(xb),
inference(resolution,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[d20,d17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG099+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.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 : Sat Sep 26 06:04:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.67/2.51 % SZS status Theorem for theBenchmark.p
% 14.67/2.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------