%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG087+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 : n019.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 08:25:49 AM UTC 2026
% Result : Theorem 15.37s 2.34s
% Output : CNFRefutation 15.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 28 ( 9 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 27 ( 10 ~; 5 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 0 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__901,hypothesis,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xy
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xx
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) ) ).
fof(m__,conjecture,
? [X0,X1] :
( xy = sdtpldt0(X0,X1)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
( xy = sdtpldt0(X0,X1)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c77,plain,
aElementOf0(sK69,xI),
inference(clausification,[status(esa)],[m__901]) ).
cnf(c78,plain,
aElementOf0(sK70,xJ),
inference(clausification,[status(esa)],[m__901]) ).
cnf(c79,plain,
sdtpldt0(sK69,sK70) = xy,
inference(clausification,[status(esa)],[m__901]) ).
cnf(c85,plain,
( xy != sdtpldt0(X0,X1)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(sK69,xI)
| ~ aElementOf0(sK70,xJ)
| xy != xy ),
inference(superposition,[status(thm)],[c79,c85]) ).
cnf(d1,plain,
( ~ aElementOf0(sK70,xJ)
| xy != xy ),
inference(resolution,[status(thm)],[c77,d0]) ).
cnf(d2,plain,
xy != xy,
inference(resolution,[status(thm)],[c78,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG087+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
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 06:02:04 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.37/2.34 % SZS status Theorem for theBenchmark.p
% 15.37/2.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------