%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG115+4 : 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 : n003.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 08:25:55 AM UTC 2026
% Result : Theorem 15.06s 2.34s
% Output : CNFRefutation 15.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 38 ( 15 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 40 ( 13 ~; 10 |; 16 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 1 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2273,hypothesis,
( ! [X0] :
( ( X0 != sz00
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& xu != sz00
& aElementOf0(xu,xI)
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ) ).
fof(m__,conjecture,
? [X0,X1] :
( xu = sdtpldt0(X0,X1)
& ( aElementOf0(X1,slsdtgt0(xb))
| ? [X2] :
( sdtasdt0(xb,X2) = X1
& aElement0(X2) ) )
& ( aElementOf0(X0,slsdtgt0(xa))
| ? [X2] :
( sdtasdt0(xa,X2) = X0
& aElement0(X2) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
( xu = sdtpldt0(X0,X1)
& ( aElementOf0(X1,slsdtgt0(xb))
| ? [X2] :
( sdtasdt0(xb,X2) = X1
& aElement0(X2) ) )
& ( aElementOf0(X0,slsdtgt0(xa))
| ? [X2] :
( sdtasdt0(xa,X2) = X0
& aElement0(X2) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c169,plain,
aElementOf0(sK142,slsdtgt0(xa)),
inference(clausification,[status(esa)],[m__2273]) ).
cnf(c170,plain,
aElementOf0(sK143,slsdtgt0(xb)),
inference(clausification,[status(esa)],[m__2273]) ).
cnf(c171,plain,
sdtpldt0(sK142,sK143) = xu,
inference(clausification,[status(esa)],[m__2273]) ).
cnf(c185,plain,
( xu != sdtpldt0(X0,X1)
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(sK142,slsdtgt0(xa))
| ~ aElementOf0(sK143,slsdtgt0(xb))
| xu != xu ),
inference(superposition,[status(thm)],[c171,c185]) ).
cnf(d1,plain,
( ~ aElementOf0(sK143,slsdtgt0(xb))
| xu != xu ),
inference(resolution,[status(thm)],[c169,d0]) ).
cnf(d2,plain,
xu != xu,
inference(resolution,[status(thm)],[c170,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG115+4 : 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 : n003.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 06:10:55 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.06/2.34 % SZS status Theorem for theBenchmark.p
% 15.06/2.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------