%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG055+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 : n007.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 08:25:43 AM UTC 2026
% Result : Theorem 37.50s 7.41s
% Output : CNFRefutation 37.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 118 ( 26 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 169 ( 88 ~; 70 |; 9 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 42 ( 27 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,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) ).
fof(negated_conjecture,negated_conjecture,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
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(c22,plain,
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(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(c92,plain,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xH)) ),
inference(superposition,[status(thm)],[c23,c92]) ).
cnf(d1,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(xE)
| ~ aScalar0(xE)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X0)
| sdtasdt0(xP,xP) != sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))) ),
inference(superposition,[status(thm)],[c22,d0]) ).
cnf(d2,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X0)
| sdtasdt0(xP,xP) != sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))) ),
inference(resolution,[status(thm)],[c75,d1]) ).
cnf(d3,plain,
( ~ aScalar0(X0)
| ~ aScalar0(xE)
| ~ aScalar0(xH)
| sdtasdt0(xP,X0) = sdtasdt0(xE,sdtasdt0(xH,X0)) ),
inference(superposition,[status(thm)],[c86,c22]) ).
cnf(d4,plain,
( ~ aScalar0(xH)
| ~ aScalar0(X0)
| sdtasdt0(xP,X0) = sdtasdt0(xE,sdtasdt0(xH,X0)) ),
inference(resolution,[status(thm)],[c75,d3]) ).
cnf(d5,plain,
( ~ aScalar0(X0)
| sdtasdt0(xP,X0) = sdtasdt0(xE,sdtasdt0(xH,X0)) ),
inference(resolution,[status(thm)],[c81,d4]) ).
cnf(d6,plain,
( ~ aScalar0(xH)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X0)
| sdtasdt0(xP,xP) != sdtasdt0(xE,sdtasdt0(xP,xH)) ),
inference(superposition,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X0)
| sdtasdt0(xP,xP) != sdtasdt0(xE,sdtasdt0(xP,xH)) ),
inference(resolution,[status(thm)],[c81,d6]) ).
cnf(d8,plain,
( ~ aScalar0(X1)
| ~ aScalar0(xH)
| ~ aScalar0(xP)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X0)
| sdtasdt0(xP,xP) != sdtasdt0(xE,sdtasdt0(xH,xP)) ),
inference(superposition,[status(thm)],[c23,d7]) ).
cnf(d9,plain,
( ~ aScalar0(xP)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(xP,xP) != sdtasdt0(xE,sdtasdt0(xH,xP)) ),
inference(resolution,[status(thm)],[c81,d8]) ).
cnf(d10,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(xP,xP) != sdtasdt0(xE,sdtasdt0(xH,xP)) ),
inference(resolution,[status(thm)],[c85,d9]) ).
cnf(d11,plain,
( ~ aScalar0(xP)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(xP,xP) != sdtasdt0(xP,xP) ),
inference(superposition,[status(thm)],[d5,d10]) ).
cnf(d12,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(xP,xP) != sdtasdt0(xP,xP) ),
inference(resolution,[status(thm)],[c85,d11]) ).
cnf(d13,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(equality_resolution,[status(thm)],[d12]) ).
cnf(d14,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[d13,c9]) ).
cnf(d15,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[c81,d14]) ).
cnf(d16,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[d15,c9]) ).
cnf(d17,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[c75,d16]) ).
cnf(d18,plain,
~ aScalar0(X0),
inference(resolution,[status(thm)],[d17,c85]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[d18,c7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG055+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n007.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sat Sep 26 05:51:09 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.50/7.41 % SZS status Theorem for theBenchmark.p
% 37.50/7.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------