%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG102+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 : n007.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 13.84s 2.08s
% Output : CNFRefutation 13.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 19 ( 8 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 16 ( 6 ~; 2 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 0 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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__,conjecture,
? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c111,plain,
aElement0(sK107),
inference(clausification,[status(esa)],[m__1933]) ).
cnf(c112,plain,
sdtasdt0(xc,sK107) = xy,
inference(clausification,[status(esa)],[m__1933]) ).
cnf(c117,plain,
( sdtasdt0(xc,X0) != xy
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElement0(sK107)
| xy != xy ),
inference(superposition,[status(thm)],[c112,c117]) ).
cnf(d1,plain,
xy != xy,
inference(resolution,[status(thm)],[c111,d0]) ).
cnf(d2,plain,
$false,
inference(equality_resolution,[status(thm)],[d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG102+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
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 06:03:38 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.84/2.08 % SZS status Theorem for theBenchmark.p
% 13.84/2.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------