%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG114+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 : n006.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 30.89s 4.32s
% Output : CNFRefutation 30.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 64 ( 21 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 63 ( 21 ~; 12 |; 23 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 7 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2174,hypothesis,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xb))
<=> ? [X1] :
( sdtasdt0(xb,X1) = X0
& aElement0(X1) ) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xa))
<=> ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) ) )
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ) ).
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(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
& aElement0(X1)
& aElement0(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
& aElement0(X1)
& aElement0(X0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c135,plain,
( aElement0(sK119(X0))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(clausification,[status(esa)],[m__2174]) ).
cnf(c136,plain,
( sdtasdt0(xa,sK119(X0)) = X0
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(clausification,[status(esa)],[m__2174]) ).
cnf(c138,plain,
( aElement0(sK122(X0))
| ~ aElementOf0(X0,slsdtgt0(xb)) ),
inference(clausification,[status(esa)],[m__2174]) ).
cnf(c139,plain,
( sdtasdt0(xb,sK122(X0)) = X0
| ~ aElementOf0(X0,slsdtgt0(xb)) ),
inference(clausification,[status(esa)],[m__2174]) ).
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(c182,plain,
( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sdtasdt0(xa,sK119(sK142)) = sK142,
inference(resolution,[status(thm)],[c136,c169]) ).
cnf(d1,plain,
( ~ aElement0(X0)
| ~ aElement0(sK119(sK142))
| xu != sdtpldt0(sK142,sdtasdt0(xb,X0)) ),
inference(superposition,[status(thm)],[d0,c182]) ).
cnf(d2,plain,
aElement0(sK119(sK142)),
inference(resolution,[status(thm)],[c135,c169]) ).
cnf(d3,plain,
( ~ aElement0(X0)
| xu != sdtpldt0(sK142,sdtasdt0(xb,X0)) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
sdtasdt0(xb,sK122(sK143)) = sK143,
inference(resolution,[status(thm)],[c139,c170]) ).
cnf(d5,plain,
( ~ aElement0(sK122(sK143))
| xu != sdtpldt0(sK142,sK143) ),
inference(superposition,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ aElement0(sK122(sK143))
| xu != xu ),
inference(demodulation,[status(thm)],[d5,c171]) ).
cnf(d7,plain,
aElement0(sK122(sK143)),
inference(resolution,[status(thm)],[c138,c170]) ).
cnf(d8,plain,
xu != xu,
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG114+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
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 06:08:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.89/4.32 % SZS status Theorem for theBenchmark.p
% 30.89/4.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------