%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG105+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 08:25:53 AM UTC 2026
% Result : Theorem 15.53s 2.56s
% Output : CNFRefutation 15.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 69 ( 19 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 73 ( 31 ~; 24 |; 16 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 4 !; 6 ?)
% 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(m__1933,hypothesis,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xx
& aElement0(X0) ) ) ).
fof(m__1956,hypothesis,
( sdtasdt0(xc,xu) = xx
& aElement0(xu) ) ).
fof(m__1979,hypothesis,
( sdtasdt0(xc,xv) = xy
& aElement0(xv) ) ).
fof(m__2010,hypothesis,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)) ).
fof(m__2043,hypothesis,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)) ).
fof(m__,conjecture,
( ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ? [X0] :
( sdtasdt0(xc,X0) = sdtasdt0(xz,xx)
& aElement0(X0) ) )
& ( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ? [X0] :
( sdtasdt0(xc,X0) = sdtpldt0(xx,xy)
& aElement0(X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ? [X0] :
( sdtasdt0(xc,X0) = sdtasdt0(xz,xx)
& aElement0(X0) ) )
& ( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ? [X0] :
( sdtasdt0(xc,X0) = sdtpldt0(xx,xy)
& 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(c114,plain,
aElement0(xz),
inference(clausification,[status(esa)],[m__1933]) ).
cnf(c115,plain,
aElement0(xu),
inference(clausification,[status(esa)],[m__1956]) ).
cnf(c117,plain,
aElement0(xv),
inference(clausification,[status(esa)],[m__1979]) ).
cnf(c119,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(clausification,[status(esa)],[m__2010]) ).
cnf(c120,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(clausification,[status(esa)],[m__2043]) ).
cnf(c121,plain,
( sdtasdt0(xc,X1) != sdtasdt0(xz,xx)
| ~ aElement0(X1)
| sdtasdt0(xc,X0) != sdtpldt0(xx,xy)
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| ~ aElement0(X0)
| sdtasdt0(xc,X0) != sdtasdt0(xz,xx)
| sdtpldt0(xx,xy) != sdtpldt0(xx,xy) ),
inference(superposition,[status(thm)],[c119,c121]) ).
cnf(d1,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| ~ aElement0(sdtasdt0(xu,xz))
| sdtpldt0(xx,xy) != sdtpldt0(xx,xy)
| sdtasdt0(xz,xx) != sdtasdt0(xz,xx) ),
inference(superposition,[status(thm)],[c120,d0]) ).
cnf(d2,plain,
( ~ aElement0(sdtasdt0(xu,xz))
| ~ aElement0(sdtpldt0(xu,xv))
| sdtpldt0(xx,xy) != sdtpldt0(xx,xy) ),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
( ~ aElement0(sdtasdt0(xu,xz))
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
( ~ aElement0(xu)
| ~ aElement0(xz)
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( ~ aElement0(xu)
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(resolution,[status(thm)],[c114,d4]) ).
cnf(d6,plain,
~ aElement0(sdtpldt0(xu,xv)),
inference(resolution,[status(thm)],[c115,d5]) ).
cnf(d7,plain,
( ~ aElement0(xu)
| ~ aElement0(xv) ),
inference(resolution,[status(thm)],[d6,c3]) ).
cnf(d8,plain,
~ aElement0(xv),
inference(resolution,[status(thm)],[c115,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c117,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG105+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 06:09:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.53/2.56 % SZS status Theorem for theBenchmark.p
% 15.53/2.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------