%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU120+2 : TPTP v9.3.1. Released v3.3.0.
% 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 08:40:55 AM UTC 2026
% Result : Theorem 14.30s 2.42s
% Output : CNFRefutation 14.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 36 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 19 ~; 10 |; 6 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 3 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_xboole_0,axiom,
! [X0] :
( X0 = 'empty$uset'
<=> ! [X1] : ~ in(X1,X0) ) ).
fof(d7_xboole_0,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> 'set$uintersection2'(X0,X1) = 'empty$uset' ) ).
fof(t4_xboole_0,conjecture,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] : in(X2,'set$uintersection2'(X0,X1)) )
& ~ ( ! [X2] : ~ in(X2,'set$uintersection2'(X0,X1))
& ~ disjoint(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] : in(X2,'set$uintersection2'(X0,X1)) )
& ~ ( ! [X2] : ~ in(X2,'set$uintersection2'(X0,X1))
& ~ disjoint(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[t4_xboole_0]) ).
cnf(c2,plain,
( ~ in(X1,X0)
| X0 != 'empty$uset' ),
inference(clausification,[status(esa)],[d1_xboole_0]) ).
cnf(c3,plain,
( in(sK6(X0),X0)
| X0 = 'empty$uset' ),
inference(clausification,[status(esa)],[d1_xboole_0]) ).
cnf(c15,plain,
( 'set$uintersection2'(X0,X1) = 'empty$uset'
| ~ disjoint(X0,X1) ),
inference(clausification,[status(esa)],[d7_xboole_0]) ).
cnf(c16,plain,
( 'set$uintersection2'(X0,X1) != 'empty$uset'
| disjoint(X0,X1) ),
inference(clausification,[status(esa)],[d7_xboole_0]) ).
cnf(c25,plain,
( in(sK28,'set$uintersection2'(sK25,sK26))
| ~ disjoint(sK25,sK26) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c28,plain,
( disjoint(sK25,sK26)
| ~ in(X0,'set$uintersection2'(sK25,sK26)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( disjoint(sK25,sK26)
| 'set$uintersection2'(sK25,sK26) = 'empty$uset' ),
inference(resolution,[status(thm)],[c3,c28]) ).
cnf(d1,plain,
( 'set$uintersection2'(sK25,sK26) = 'empty$uset'
| 'set$uintersection2'(sK25,sK26) = 'empty$uset' ),
inference(resolution,[status(thm)],[c15,d0]) ).
cnf(d2,plain,
( ~ disjoint(sK25,sK26)
| in(sK28,'empty$uset') ),
inference(demodulation,[status(thm)],[c25,d1]) ).
cnf(d3,plain,
( disjoint(sK25,sK26)
| 'empty$uset' != 'empty$uset' ),
inference(superposition,[status(thm)],[d1,c16]) ).
cnf(d4,plain,
disjoint(sK25,sK26),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
in(sK28,'empty$uset'),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
~ in(X0,'empty$uset'),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU120+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 08:37:45 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.30/2.42 % SZS status Theorem for theBenchmark.p
% 14.30/2.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------