%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG074+1 : 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 : n020.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 19.02s 8.05s
% Output : CNFRefutation 19.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 22 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 4 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSumSc,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ) ).
fof(mLERef,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ) ).
fof(m__1911,hypothesis,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ) ).
fof(m__2590,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ).
fof(m__2679,hypothesis,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP) ).
cnf(c8,plain,
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mSumSc]) ).
cnf(c30,plain,
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(clausification,[status(esa)],[mLERef]) ).
cnf(c81,plain,
aScalar0(xP),
inference(clausification,[status(esa)],[m__1911]) ).
cnf(c91,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(clausification,[status(esa)],[m__2590]) ).
cnf(c96,plain,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
inference(clausification,[status(esa)],[m__2679]) ).
cnf(d0,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),
inference(demodulation,[status(thm)],[c91,c96]) ).
cnf(d1,plain,
~ aScalar0(sdtpldt0(xP,xP)),
inference(resolution,[status(thm)],[d0,c30]) ).
cnf(d2,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP) ),
inference(resolution,[status(thm)],[d1,c8]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c81,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG074+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.58 % Computer : n020.cluster.edu
% 0.09/5.58 % Model : x86_64 x86_64
% 0.09/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.58 % Memory : 8046.5625MB
% 0.09/5.58 % OS : Linux 6.8.0-71-generic
% 0.09/5.58 % CPULimit : 300
% 0.09/5.58 % WCLimit : 300
% 0.09/5.58 % DateTime : Sat Sep 26 06:00:10 UTC 2026
% 0.09/5.59 % CPUTime :
% 0.09/5.59 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.02/8.05 % SZS status Theorem for theBenchmark.p
% 19.02/8.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------