%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG070+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 08:25:46 AM UTC 2026
% Result : Theorem 19.84s 3.01s
% Output : CNFRefutation 19.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 41 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 12 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSumSc,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ) ).
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__,conjecture,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ).
fof(negated_conjecture,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xR,xS),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(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(c96,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[c35,c96]) ).
cnf(d1,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[c95,d0]) ).
cnf(d2,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[d1,c8]) ).
cnf(d3,plain,
~ aScalar0(sdtpldt0(xR,xS)),
inference(resolution,[status(thm)],[c85,d2]) ).
cnf(d4,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(resolution,[status(thm)],[d3,c8]) ).
cnf(d5,plain,
~ aScalar0(xS),
inference(resolution,[status(thm)],[c83,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c87,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG070+2 : 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 : n026.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 06:00:56 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.84/3.01 % SZS status Theorem for theBenchmark.p
% 19.84/3.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------