%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU128+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 : n017.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 08:40:57 AM UTC 2026
% Result : Theorem 2.25s 24.69s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 50 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 16 ~; 18 |; 3 &)
% ( 3 <=>; 3 =>; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k3_xboole_0,axiom,
! [X0,X1] : 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0) ).
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
fof(d3_xboole_0,axiom,
! [X0,X1,X2] :
( X2 = 'set$uintersection2'(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ) ).
fof(t19_xboole_1,conjecture,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X0,X1) )
=> subset(X0,'set$uintersection2'(X1,X2)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X0,X1) )
=> subset(X0,'set$uintersection2'(X1,X2)) ),
inference(negate_conjecture,[status(cth)],[t19_xboole_1]) ).
cnf(c2,plain,
'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0),
inference(clausification,[status(esa)],[commutativity_k3_xboole_0]) ).
cnf(c16,plain,
( in(X2,X1)
| ~ in(X2,X0)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c17,plain,
( in(sK20(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c18,plain,
( ~ in(sK20(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c21,plain,
( ~ in(X3,X0)
| ~ in(X3,X1)
| in(X3,X2)
| 'set$uintersection2'(X0,X1) != X2 ),
inference(clausification,[status(esa)],[d3_xboole_0]) ).
cnf(c55,plain,
subset(sK72,sK74),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c56,plain,
subset(sK72,sK73),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c57,plain,
~ subset(sK72,'set$uintersection2'(sK73,sK74)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ in(X0,sK72)
| in(X0,sK73) ),
inference(resolution,[status(thm)],[c56,c16]) ).
cnf(d1,plain,
( subset(sK72,X0)
| in(sK20(sK72,X0),sK73) ),
inference(resolution,[status(thm)],[d0,c17]) ).
cnf(d2,plain,
( ~ in(X0,X1)
| ~ in(X0,X2)
| in(X0,'set$uintersection2'(X1,X2)) ),
inference(equality_resolution,[status(thm)],[c21]) ).
cnf(d3,plain,
( subset(X0,'set$uintersection2'(X1,X2))
| ~ in(sK20(X0,'set$uintersection2'(X1,X2)),X1)
| ~ in(sK20(X0,'set$uintersection2'(X1,X2)),X2) ),
inference(resolution,[status(thm)],[d2,c18]) ).
cnf(d4,plain,
( ~ in(X0,sK72)
| in(X0,sK74) ),
inference(resolution,[status(thm)],[c55,c16]) ).
cnf(d5,plain,
( subset(sK72,X0)
| in(sK20(sK72,X0),sK74) ),
inference(resolution,[status(thm)],[d4,c17]) ).
cnf(d6,plain,
( subset(sK72,'set$uintersection2'(sK74,X0))
| ~ in(sK20(sK72,'set$uintersection2'(sK74,X0)),X0)
| subset(sK72,'set$uintersection2'(sK74,X0)) ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( subset(sK72,'set$uintersection2'(sK74,sK73))
| subset(sK72,'set$uintersection2'(sK74,sK73)) ),
inference(resolution,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
~ subset(sK72,'set$uintersection2'(sK74,sK73)),
inference(demodulation,[status(thm)],[c57,c2]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU128+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
% 0.10/10.58 % Computer : n017.cluster.edu
% 0.10/10.58 % Model : x86_64 x86_64
% 0.10/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.58 % Memory : 8046.5625MB
% 0.10/10.58 % OS : Linux 6.8.0-71-generic
% 0.10/10.58 % CPULimit : 300
% 0.10/10.58 % WCLimit : 300
% 0.10/10.58 % DateTime : Sat Sep 26 08:33:45 UTC 2026
% 0.10/10.58 % CPUTime :
% 0.10/10.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.25/24.69 % SZS status Theorem for theBenchmark.p
% 2.25/24.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------