%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG095+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 08:25:51 AM UTC 2026
% Result : Theorem 11.91s 2.20s
% Output : CNFRefutation 11.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 33 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 33 ( 16 ~; 9 |; 7 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 1 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsC_01,axiom,
aElement0(sz10) ).
fof(m__1205_03,hypothesis,
! [X0] :
( aElement0(X0)
=> ( aElementOf0(X0,sdtpldt1(xI,xJ))
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,xJ)
& aElementOf0(X1,xI) ) ) ) ).
fof(m__,conjecture,
? [X0,X1] :
( sdtpldt0(X0,X1) = sz10
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
( sdtpldt0(X0,X1) = sz10
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c1,plain,
aElement0(sz10),
inference(clausification,[status(esa)],[mSortsC_01]) ).
cnf(c77,plain,
( aElementOf0(sK75(X0),xI)
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[m__1205_03]) ).
cnf(c78,plain,
( aElementOf0(sK76(X0),xJ)
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[m__1205_03]) ).
cnf(c79,plain,
( sdtpldt0(sK75(X0),sK76(X0)) = X0
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[m__1205_03]) ).
cnf(c83,plain,
( sdtpldt0(X0,X1) != sz10
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sdtpldt0(sK75(sz10),sK76(sz10)) = sz10,
inference(resolution,[status(thm)],[c79,c1]) ).
cnf(d1,plain,
( ~ aElementOf0(sK75(sz10),xI)
| ~ aElementOf0(sK76(sz10),xJ)
| sz10 != sz10 ),
inference(superposition,[status(thm)],[d0,c83]) ).
cnf(d2,plain,
( ~ aElementOf0(sK76(sz10),xJ)
| ~ aElementOf0(sK75(sz10),xI) ),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
( ~ aElement0(sz10)
| ~ aElementOf0(sK75(sz10),xI) ),
inference(resolution,[status(thm)],[d2,c78]) ).
cnf(d4,plain,
~ aElementOf0(sK75(sz10),xI),
inference(resolution,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
~ aElement0(sz10),
inference(resolution,[status(thm)],[d4,c77]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c1,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG095+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 26 06:03:19 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.91/2.20 % SZS status Theorem for theBenchmark.p
% 11.91/2.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------