%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU129+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 14.43s 2.16s
% Output : CNFRefutation 14.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 30 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 6 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 3 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k3_xboole_0,axiom,
! [X0,X1] : 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0) ).
fof(t17_xboole_1,lemma,
! [X0,X1] : subset('set$uintersection2'(X0,X1),X0) ).
fof(t19_xboole_1,lemma,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X0,X1) )
=> subset(X0,'set$uintersection2'(X1,X2)) ) ).
fof(t1_xboole_1,lemma,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ).
fof(t26_xboole_1,conjecture,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset('set$uintersection2'(X0,X2),'set$uintersection2'(X1,X2)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(X0,X1)
=> subset('set$uintersection2'(X0,X2),'set$uintersection2'(X1,X2)) ),
inference(negate_conjecture,[status(cth)],[t26_xboole_1]) ).
cnf(c2,plain,
'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0),
inference(clausification,[status(esa)],[commutativity_k3_xboole_0]) ).
cnf(c45,plain,
subset('set$uintersection2'(X0,X1),X0),
inference(clausification,[status(esa)],[t17_xboole_1]) ).
cnf(c46,plain,
( subset(X0,'set$uintersection2'(X1,X2))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t19_xboole_1]) ).
cnf(c48,plain,
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t1_xboole_1]) ).
cnf(c62,plain,
subset(sK75,sK76),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c63,plain,
~ subset('set$uintersection2'(sK75,sK77),'set$uintersection2'(sK76,sK77)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset('set$uintersection2'(sK75,sK77),sK77)
| ~ subset('set$uintersection2'(sK75,sK77),sK76) ),
inference(resolution,[status(thm)],[c46,c63]) ).
cnf(d1,plain,
subset('set$uintersection2'(X1,X0),X0),
inference(superposition,[status(thm)],[c2,c45]) ).
cnf(d2,plain,
~ subset('set$uintersection2'(sK75,sK77),sK76),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( subset('set$uintersection2'(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[c48,c45]) ).
cnf(d4,plain,
~ subset(sK75,sK76),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c62,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU129+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 08:38:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.43/2.16 % SZS status Theorem for theBenchmark.p
% 14.43/2.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------