%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG121+4 : 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 : 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 08:25:57 AM UTC 2026
% Result : Theorem 8.66s 2.41s
% Output : CNFRefutation 8.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 47 ( 16 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 43 ( 11 ~; 10 |; 21 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 1 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mAddZero,axiom,
! [X0] :
( aElement0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ) ).
fof(m__2091,hypothesis,
( aElement0(xb)
& aElement0(xa) ) ).
fof(m__2203,hypothesis,
( aElementOf0(xb,slsdtgt0(xb))
& ? [X0] :
( sdtasdt0(xb,X0) = xb
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X0] :
( sdtasdt0(xb,X0) = sz00
& aElement0(X0) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X0] :
( sdtasdt0(xa,X0) = xa
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X0] :
( sdtasdt0(xa,X0) = sz00
& aElement0(X0) ) ) ).
fof(m__,conjecture,
( aElementOf0(xb,xI)
| ? [X0,X1] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
| ? [X0,X1] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( aElementOf0(xb,xI)
| ? [X0,X1] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
| ? [X0,X1] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c8,plain,
( X0 = sdtpldt0(sz00,X0)
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[mAddZero]) ).
cnf(c109,plain,
aElement0(xb),
inference(clausification,[status(esa)],[m__2091]) ).
cnf(c148,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(clausification,[status(esa)],[m__2203]) ).
cnf(c157,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(clausification,[status(esa)],[m__2203]) ).
cnf(c200,plain,
( sdtpldt0(X0,X1) != xb
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
xb = sdtpldt0(sz00,xb),
inference(resolution,[status(thm)],[c8,c109]) ).
cnf(d1,plain,
( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(xb,slsdtgt0(xb))
| xb != xb ),
inference(superposition,[status(thm)],[d0,c200]) ).
cnf(d2,plain,
( ~ aElementOf0(xb,slsdtgt0(xb))
| xb != xb ),
inference(resolution,[status(thm)],[c148,d1]) ).
cnf(d3,plain,
xb != xb,
inference(resolution,[status(thm)],[c157,d2]) ).
cnf(d4,plain,
$false,
inference(equality_resolution,[status(thm)],[d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG121+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 06:16:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.66/2.41 % SZS status Theorem for theBenchmark.p
% 8.66/2.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------