%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG062+1 : 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 : n009.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 08:25:45 AM UTC 2026
% Result : Theorem 30.27s 4.66s
% Output : CNFRefutation 30.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 20 unt; 0 def)
% Number of atoms : 153 ( 37 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 184 ( 90 ~; 74 |; 15 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 39 ( 13 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSZeroSc,axiom,
aScalar0(sz0z00) ).
fof(mSumSc,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ) ).
fof(mMulSc,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ) ).
fof(mNegSc,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ) ).
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(mMNeg,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ) ).
fof(m__1800,hypothesis,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ) ).
fof(m__1837,hypothesis,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ) ).
fof(m__1892,hypothesis,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ) ).
fof(m__1930,hypothesis,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ) ).
fof(m__2144,hypothesis,
( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(xR,smndt0(xS)) = smndt0(xN) ) ).
fof(m__2221,hypothesis,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) ).
fof(m__,conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)) ).
fof(negated_conjecture,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c7,plain,
aScalar0(sz0z00),
inference(clausification,[status(esa)],[mSZeroSc]) ).
cnf(c8,plain,
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mSumSc]) ).
cnf(c9,plain,
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mMulSc]) ).
cnf(c10,plain,
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mNegSc]) ).
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(c21,plain,
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mArith]) ).
cnf(c27,plain,
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mMNeg]) ).
cnf(c69,plain,
aScalar0(xD),
inference(clausification,[status(esa)],[m__1800]) ).
cnf(c73,plain,
aScalar0(xF),
inference(clausification,[status(esa)],[m__1837]) ).
cnf(c79,plain,
aScalar0(xR),
inference(clausification,[status(esa)],[m__1892]) ).
cnf(c83,plain,
aScalar0(xS),
inference(clausification,[status(esa)],[m__1930]) ).
cnf(c84,plain,
xS = sdtasdt0(xF,xD),
inference(clausification,[status(esa)],[m__1930]) ).
cnf(c90,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(clausification,[status(esa)],[m__2144]) ).
cnf(c91,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(clausification,[status(esa)],[m__2144]) ).
cnf(c93,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(clausification,[status(esa)],[m__2221]) ).
cnf(c94,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN)) ),
inference(superposition,[status(thm)],[c20,c94]) ).
cnf(d1,plain,
( ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS))
| aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c90,c9]) ).
cnf(d2,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(resolution,[status(thm)],[c79,d1]) ).
cnf(d3,plain,
( ~ aScalar0(xS)
| aScalar0(smndt0(xN)) ),
inference(resolution,[status(thm)],[d2,c10]) ).
cnf(d4,plain,
aScalar0(smndt0(xN)),
inference(resolution,[status(thm)],[c83,d3]) ).
cnf(d5,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR))
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN)) ),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR))
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),smndt0(xN)) ),
inference(superposition,[status(thm)],[c21,d5]) ).
cnf(d7,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),smndt0(xN)) ),
inference(resolution,[status(thm)],[d4,d6]) ).
cnf(d8,plain,
( ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xS))
| aScalar0(sdtasdt0(xS,xS)) ),
inference(superposition,[status(thm)],[c91,c9]) ).
cnf(d9,plain,
( ~ aScalar0(xF)
| ~ aScalar0(xD)
| sdtasdt0(xF,smndt0(xD)) = smndt0(xS) ),
inference(superposition,[status(thm)],[c84,c27]) ).
cnf(d10,plain,
( ~ aScalar0(xF)
| sdtasdt0(xF,smndt0(xD)) = smndt0(xS) ),
inference(resolution,[status(thm)],[c69,d9]) ).
cnf(d11,plain,
sdtasdt0(xF,smndt0(xD)) = smndt0(xS),
inference(resolution,[status(thm)],[c73,d10]) ).
cnf(d12,plain,
( ~ aScalar0(smndt0(xD))
| ~ aScalar0(xF)
| aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[d11,c9]) ).
cnf(d13,plain,
( aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xD)) ),
inference(resolution,[status(thm)],[c73,d12]) ).
cnf(d14,plain,
( ~ aScalar0(xD)
| aScalar0(smndt0(xS)) ),
inference(resolution,[status(thm)],[d13,c10]) ).
cnf(d15,plain,
aScalar0(smndt0(xS)),
inference(resolution,[status(thm)],[c69,d14]) ).
cnf(d16,plain,
aScalar0(sdtasdt0(xS,xS)),
inference(resolution,[status(thm)],[d15,d8]) ).
cnf(d17,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),smndt0(xN)) ),
inference(resolution,[status(thm)],[d16,d7]) ).
cnf(d18,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),X3) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) ),
inference(superposition,[status(thm)],[c20,c20]) ).
cnf(d19,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) ),
inference(superposition,[status(thm)],[d18,d17]) ).
cnf(d20,plain,
( ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) ),
inference(demodulation,[status(thm)],[d19,c93]) ).
cnf(d21,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) ),
inference(resolution,[status(thm)],[d4,d20]) ).
cnf(d22,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) ),
inference(resolution,[status(thm)],[d16,d21]) ).
cnf(d23,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| ~ aScalar0(X0) ),
inference(equality_resolution,[status(thm)],[d22]) ).
cnf(d24,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[d23,c8]) ).
cnf(d25,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[d4,d24]) ).
cnf(d26,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[d25,c9]) ).
cnf(d27,plain,
~ aScalar0(X0),
inference(resolution,[status(thm)],[c79,d26]) ).
cnf(d28,plain,
$false,
inference(resolution,[status(thm)],[d27,c7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG062+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n009.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 05:55:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.27/4.66 % SZS status Theorem for theBenchmark.p
% 30.27/4.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------