%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG091+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 : n010.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 08:25:50 AM UTC 2026
% Result : Theorem 14.29s 2.28s
% Output : CNFRefutation 14.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 59 ( 20 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 69 ( 31 ~; 26 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 0 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__994,hypothesis,
( aElementOf0(sdtpldt0(xl,xn),xJ)
& aElementOf0(sdtpldt0(xk,xm),xI) ) ).
fof(m__1021,hypothesis,
( aElementOf0(sdtasdt0(xz,xl),xJ)
& aElementOf0(sdtasdt0(xz,xk),xI) ) ).
fof(m__1061,hypothesis,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) ).
fof(m__1098,hypothesis,
sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)) ).
fof(m__,conjecture,
( ( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ? [X0,X1] :
( sdtpldt0(X0,X1) = sdtasdt0(xz,xx)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) )
& ( aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
| ? [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xx,xy)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ? [X0,X1] :
( sdtpldt0(X0,X1) = sdtasdt0(xz,xx)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) )
& ( aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
| ? [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xx,xy)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c88,plain,
aElementOf0(sdtpldt0(xk,xm),xI),
inference(clausification,[status(esa)],[m__994]) ).
cnf(c89,plain,
aElementOf0(sdtpldt0(xl,xn),xJ),
inference(clausification,[status(esa)],[m__994]) ).
cnf(c90,plain,
aElementOf0(sdtasdt0(xz,xk),xI),
inference(clausification,[status(esa)],[m__1021]) ).
cnf(c91,plain,
aElementOf0(sdtasdt0(xz,xl),xJ),
inference(clausification,[status(esa)],[m__1021]) ).
cnf(c92,plain,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(clausification,[status(esa)],[m__1061]) ).
cnf(c93,plain,
sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
inference(clausification,[status(esa)],[m__1098]) ).
cnf(c94,plain,
( ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI)
| sdtpldt0(X3,X2) != sdtpldt0(xx,xy)
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X2,xJ)
| sdtpldt0(X0,X1) != sdtasdt0(xz,xx) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(X1,xJ)
| ~ aElementOf0(sdtasdt0(xz,xk),xI)
| ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| ~ aElementOf0(X0,xI)
| sdtpldt0(X0,X1) != sdtpldt0(xx,xy)
| sdtasdt0(xz,xx) != sdtasdt0(xz,xx) ),
inference(superposition,[status(thm)],[c93,c94]) ).
cnf(d1,plain,
( ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ)
| sdtasdt0(xz,xx) != sdtasdt0(xz,xx)
| sdtpldt0(X0,X1) != sdtpldt0(xx,xy) ),
inference(resolution,[status(thm)],[c90,d0]) ).
cnf(d2,plain,
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ)
| sdtasdt0(xz,xx) != sdtasdt0(xz,xx)
| sdtpldt0(X0,X1) != sdtpldt0(xx,xy) ),
inference(resolution,[status(thm)],[c91,d1]) ).
cnf(d3,plain,
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ)
| sdtpldt0(X0,X1) != sdtpldt0(xx,xy) ),
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
( ~ aElementOf0(sdtpldt0(xk,xm),xI)
| ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| sdtpldt0(xx,xy) != sdtpldt0(xx,xy) ),
inference(superposition,[status(thm)],[c92,d3]) ).
cnf(d5,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| sdtpldt0(xx,xy) != sdtpldt0(xx,xy) ),
inference(resolution,[status(thm)],[c88,d4]) ).
cnf(d6,plain,
sdtpldt0(xx,xy) != sdtpldt0(xx,xy),
inference(resolution,[status(thm)],[c89,d5]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG091+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 : n010.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 06:02:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.29/2.28 % SZS status Theorem for theBenchmark.p
% 14.29/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------