%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUN067+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 08:18:54 AM UTC 2026
% Result : Theorem 10.97s 3.14s
% Output : CNFRefutation 10.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 32 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 20 ~; 11 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 31 ( 12 sgn 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_1,axiom,
? [X0] :
! [X1] :
( ( X1 = X0
& r1(X1) )
| ( X1 != X0
& ~ r1(X1) ) ) ).
fof(axiom_2,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( X2 = X1
& r2(X0,X2) )
| ( X2 != X1
& ~ r2(X0,X2) ) ) ).
fof(axiom_7a,axiom,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( X2 != X1
| ~ r1(X2) ) ) ).
fof(nonzerosexist,conjecture,
? [X0] :
! [X1] :
( X0 != X1
| ~ r1(X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
! [X1] :
( X0 != X1
| ~ r1(X1) ),
inference(negate_conjecture,[status(cth)],[nonzerosexist]) ).
cnf(c1,plain,
( X0 = sK0
| ~ r1(X0) ),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c6,plain,
( r2(X1,X0)
| X0 != sK3(X1) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c38,plain,
( ~ r2(X2,X1)
| X0 != X1
| ~ r1(X0) ),
inference(clausification,[status(esa)],[axiom_7a]) ).
cnf(c39,plain,
r1(sK44(X0)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c40,plain,
X0 = sK44(X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
r1(X0),
inference(demodulation,[status(thm)],[c39,c40]) ).
cnf(d1,plain,
( ~ r2(X2,X1)
| X0 != X1 ),
inference(resolution,[status(thm)],[d0,c38]) ).
cnf(d2,plain,
X0 = sK0,
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d3,plain,
X1 = X0,
inference(superposition,[status(thm)],[d2,d2]) ).
cnf(d4,plain,
~ r2(X0,X1),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
r2(X0,X1),
inference(resolution,[status(thm)],[d3,c6]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN067+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.61 % Computer : n018.cluster.edu
% 0.17/0.61 % Model : x86_64 x86_64
% 0.17/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.61 % Memory : 8046.5625MB
% 0.17/0.61 % OS : Linux 6.8.0-71-generic
% 0.17/0.61 % CPULimit : 300
% 0.17/0.61 % WCLimit : 300
% 0.17/0.61 % DateTime : Sat Sep 26 04:32:07 UTC 2026
% 0.17/0.62 % CPUTime :
% 0.17/0.62 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.97/3.14 % SZS status Theorem for theBenchmark.p
% 10.97/3.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------