%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU140+1 : 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 : n004.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 08:40:59 AM UTC 2026
% Result : Theorem 16.13s 2.58s
% Output : CNFRefutation 16.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 42 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 11 ~; 9 |; 2 &)
% ( 1 <=>; 5 =>; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k3_xboole_0,axiom,
! [X0,X1] : 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0) ).
fof(d7_xboole_0,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> 'set$uintersection2'(X0,X1) = 'empty$uset' ) ).
fof(symmetry_r1_xboole_0,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ) ).
fof(t26_xboole_1,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset('set$uintersection2'(X0,X2),'set$uintersection2'(X1,X2)) ) ).
fof(t3_xboole_1,axiom,
! [X0] :
( subset(X0,'empty$uset')
=> X0 = 'empty$uset' ) ).
fof(t63_xboole_1,conjecture,
! [X0,X1,X2] :
( ( disjoint(X1,X2)
& subset(X0,X1) )
=> disjoint(X0,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( disjoint(X1,X2)
& subset(X0,X1) )
=> disjoint(X0,X2) ),
inference(negate_conjecture,[status(cth)],[t63_xboole_1]) ).
cnf(c1,plain,
'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0),
inference(clausification,[status(esa)],[commutativity_k3_xboole_0]) ).
cnf(c2,plain,
( 'set$uintersection2'(X0,X1) = 'empty$uset'
| ~ disjoint(X0,X1) ),
inference(clausification,[status(esa)],[d7_xboole_0]) ).
cnf(c3,plain,
( 'set$uintersection2'(X0,X1) != 'empty$uset'
| disjoint(X0,X1) ),
inference(clausification,[status(esa)],[d7_xboole_0]) ).
cnf(c9,plain,
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(clausification,[status(esa)],[symmetry_r1_xboole_0]) ).
cnf(c10,plain,
( subset('set$uintersection2'(X0,X2),'set$uintersection2'(X1,X2))
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t26_xboole_1]) ).
cnf(c12,plain,
( X0 = 'empty$uset'
| ~ subset(X0,'empty$uset') ),
inference(clausification,[status(esa)],[t3_xboole_1]) ).
cnf(c16,plain,
subset(sK24,sK25),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c17,plain,
disjoint(sK25,sK26),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c18,plain,
~ disjoint(sK24,sK26),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( disjoint(X0,X1)
| 'set$uintersection2'(X1,X0) != 'empty$uset' ),
inference(superposition,[status(thm)],[c1,c3]) ).
cnf(d1,plain,
'set$uintersection2'(sK25,sK26) = 'empty$uset',
inference(resolution,[status(thm)],[c2,c17]) ).
cnf(d2,plain,
( ~ subset(X0,sK25)
| subset('set$uintersection2'(X0,sK26),'empty$uset') ),
inference(superposition,[status(thm)],[d1,c10]) ).
cnf(d3,plain,
( 'set$uintersection2'(X0,sK26) = 'empty$uset'
| ~ subset(X0,sK25) ),
inference(resolution,[status(thm)],[d2,c12]) ).
cnf(d4,plain,
'set$uintersection2'(sK24,sK26) = 'empty$uset',
inference(resolution,[status(thm)],[d3,c16]) ).
cnf(d5,plain,
( disjoint(sK26,sK24)
| 'empty$uset' != 'empty$uset' ),
inference(superposition,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
disjoint(sK26,sK24),
inference(equality_resolution,[status(thm)],[d5]) ).
cnf(d7,plain,
disjoint(sK24,sK26),
inference(resolution,[status(thm)],[d6,c9]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c18,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU140+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n004.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 08:40:07 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.13/2.58 % SZS status Theorem for theBenchmark.p
% 16.13/2.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------