%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUN062+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 : 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 08:18:53 AM UTC 2026
% Result : Theorem 11.52s 7.16s
% Output : CNFRefutation 11.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 52 ( 22 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 55 ( 26 ~; 17 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 15 sgn 12 !; 12 ?)
% 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_1a,axiom,
! [X0,X1] :
? [X2] :
( ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) )
& ? [X3] :
( X3 = X2
& ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) ) ) ) ).
fof(axiom_7a,axiom,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( X2 != X1
| ~ r1(X2) ) ) ).
fof(infiniteNumbers,conjecture,
! [X0] :
? [X1,X2] :
( ? [X4] :
( X4 = X1
& r3(X0,X2,X4) )
& ! [X3] :
( X2 != X3
| ~ r1(X3) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
? [X1,X2] :
( ? [X4] :
( X4 = X1
& r3(X0,X2,X4) )
& ! [X3] :
( X2 != X3
| ~ r1(X3) ) ),
inference(negate_conjecture,[status(cth)],[infiniteNumbers]) ).
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(c20,plain,
r3(X0,X1,sK18(X0,X1)),
inference(clausification,[status(esa)],[axiom_1a]) ).
cnf(c38,plain,
( ~ r2(X2,X1)
| X0 != X1
| ~ r1(X0) ),
inference(clausification,[status(esa)],[axiom_7a]) ).
cnf(c39,plain,
( X1 != X2
| ~ r3(sK43,X0,X1)
| r1(sK46(X0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c40,plain,
( X1 != X2
| ~ r3(sK43,X0,X1)
| X0 = sK46(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ r3(sK43,X0,X1)
| X0 = sK46(X0) ),
inference(equality_resolution,[status(thm)],[c40]) ).
cnf(d1,plain,
X0 = sK46(X0),
inference(resolution,[status(thm)],[c20,d0]) ).
cnf(d2,plain,
( ~ r3(sK43,X0,X1)
| r1(sK46(X0)) ),
inference(equality_resolution,[status(thm)],[c39]) ).
cnf(d3,plain,
r1(sK46(X0)),
inference(resolution,[status(thm)],[c20,d2]) ).
cnf(d4,plain,
r1(X0),
inference(demodulation,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
X0 = sK0,
inference(resolution,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
X1 = X0,
inference(superposition,[status(thm)],[d5,d5]) ).
cnf(d7,plain,
r2(X0,X1),
inference(resolution,[status(thm)],[d6,c6]) ).
cnf(d8,plain,
( ~ r1(X0)
| X0 != X1 ),
inference(resolution,[status(thm)],[d7,c38]) ).
cnf(d9,plain,
X0 != X1,
inference(resolution,[status(thm)],[d4,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d6,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN062+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.59 % Computer : n010.cluster.edu
% 0.10/5.59 % Model : x86_64 x86_64
% 0.10/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.59 % Memory : 8046.5625MB
% 0.10/5.59 % OS : Linux 6.8.0-71-generic
% 0.10/5.59 % CPULimit : 300
% 0.10/5.59 % WCLimit : 300
% 0.10/5.59 % DateTime : Sat Sep 26 04:29:28 UTC 2026
% 0.10/5.59 % CPUTime :
% 0.10/5.59 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.52/7.16 % SZS status Theorem for theBenchmark.p
% 11.52/7.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------