%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG077+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 : n004.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 08:25:48 AM UTC 2026
% Result : Theorem 20.42s 5.08s
% Output : CNFRefutation 20.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 63 ( 20 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 68 ( 33 ~; 24 |; 9 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 22 ( 10 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSZeroSc,axiom,
aScalar0(sz0z00) ).
fof(mMulSc,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ) ).
fof(mArith,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ) ).
fof(m__1820,hypothesis,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ) ).
fof(m__1873,hypothesis,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ) ).
fof(m__1911,hypothesis,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ) ).
fof(m__,conjecture,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) ).
fof(negated_conjecture,negated_conjecture,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c7,plain,
aScalar0(sz0z00),
inference(clausification,[status(esa)],[mSZeroSc]) ).
cnf(c9,plain,
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mMulSc]) ).
cnf(c20,plain,
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mArith]) ).
cnf(c23,plain,
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mArith]) ).
cnf(c75,plain,
aScalar0(xE),
inference(clausification,[status(esa)],[m__1820]) ).
cnf(c81,plain,
aScalar0(xH),
inference(clausification,[status(esa)],[m__1873]) ).
cnf(c85,plain,
aScalar0(xP),
inference(clausification,[status(esa)],[m__1911]) ).
cnf(c86,plain,
xP = sdtasdt0(xE,xH),
inference(clausification,[status(esa)],[m__1911]) ).
cnf(c94,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(demodulation,[status(thm)],[c94,c86]) ).
cnf(d1,plain,
( ~ aScalar0(X0)
| ~ aScalar0(xE)
| ~ aScalar0(xH)
| xP = sdtasdt0(xH,xE) ),
inference(superposition,[status(thm)],[c23,c86]) ).
cnf(d2,plain,
( ~ aScalar0(xH)
| ~ aScalar0(X0)
| xP = sdtasdt0(xH,xE) ),
inference(resolution,[status(thm)],[c75,d1]) ).
cnf(d3,plain,
( ~ aScalar0(X0)
| xP = sdtasdt0(xH,xE) ),
inference(resolution,[status(thm)],[c81,d2]) ).
cnf(d4,plain,
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) ),
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ aScalar0(X0)
| sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) ),
inference(superposition,[status(thm)],[c20,d4]) ).
cnf(d6,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(X0)
| sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) ),
inference(resolution,[status(thm)],[c85,d5]) ).
cnf(d7,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(X0) ),
inference(equality_resolution,[status(thm)],[d6]) ).
cnf(d8,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[d7,c9]) ).
cnf(d9,plain,
~ aScalar0(X0),
inference(resolution,[status(thm)],[c81,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,c7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG077+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n004.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 05:59:52 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.42/5.08 % SZS status Theorem for theBenchmark.p
% 20.42/5.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------