%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG072+2 : 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 : n026.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 08:25:47 AM UTC 2026
% Result : Theorem 21.75s 3.44s
% Output : CNFRefutation 21.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 73 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 84 ( 39 ~; 30 |; 11 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSumSc,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ) ).
fof(mLEMonM,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ) ).
fof(mLETot,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ) ).
fof(m__1892,hypothesis,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ) ).
fof(m__1911,hypothesis,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ) ).
fof(m__1930,hypothesis,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ) ).
fof(m__2590,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ).
fof(m__2628,hypothesis,
( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ) ).
fof(m__,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ).
fof(negated_conjecture,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c8,plain,
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mSumSc]) ).
cnf(c34,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X0))
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mLEMonM]) ).
cnf(c35,plain,
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mLETot]) ).
cnf(c83,plain,
aScalar0(xR),
inference(clausification,[status(esa)],[m__1892]) ).
cnf(c85,plain,
aScalar0(xP),
inference(clausification,[status(esa)],[m__1911]) ).
cnf(c87,plain,
aScalar0(xS),
inference(clausification,[status(esa)],[m__1930]) ).
cnf(c95,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(clausification,[status(esa)],[m__2590]) ).
cnf(c97,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(clausification,[status(esa)],[m__2628]) ).
cnf(c99,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[c34,c99]) ).
cnf(d1,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[c35,d0]) ).
cnf(d2,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[c95,d1]) ).
cnf(d3,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[c97,d2]) ).
cnf(d4,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[d3,c8]) ).
cnf(d5,plain,
~ aScalar0(sdtpldt0(xR,xS)),
inference(resolution,[status(thm)],[c85,d4]) ).
cnf(d6,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(resolution,[status(thm)],[d5,c8]) ).
cnf(d7,plain,
~ aScalar0(xS),
inference(resolution,[status(thm)],[c83,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c87,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG072+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n026.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 06:01:10 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.75/3.44 % SZS status Theorem for theBenchmark.p
% 21.75/3.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------