%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU130+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 : n026.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 16.50s 4.16s
% Output : CNFRefutation 16.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 32 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 8 |; 2 &)
% ( 1 <=>; 3 =>; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 2 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d10_xboole_0,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ).
fof(reflexivity_r1_tarski,axiom,
! [X0,X1] : subset(X0,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(t28_xboole_1,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> 'set$uintersection2'(X0,X1) = X0 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> 'set$uintersection2'(X0,X1) = X0 ),
inference(negate_conjecture,[status(cth)],[t28_xboole_1]) ).
cnf(c5,plain,
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[d10_xboole_0]) ).
cnf(c42,plain,
subset(X0,X0),
inference(clausification,[status(esa)],[reflexivity_r1_tarski]) ).
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(c63,plain,
subset(sK78,sK79),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c64,plain,
'set$uintersection2'(sK78,sK79) != sK78,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset(X0,'set$uintersection2'(X0,X1))
| X0 = 'set$uintersection2'(X0,X1) ),
inference(resolution,[status(thm)],[c45,c5]) ).
cnf(d1,plain,
( ~ subset(X0,X1)
| ~ subset(X0,X0)
| X0 = 'set$uintersection2'(X0,X1) ),
inference(resolution,[status(thm)],[d0,c46]) ).
cnf(d2,plain,
( ~ subset(X0,X1)
| X0 = 'set$uintersection2'(X0,X1) ),
inference(resolution,[status(thm)],[c42,d1]) ).
cnf(d3,plain,
sK78 = 'set$uintersection2'(sK78,sK79),
inference(resolution,[status(thm)],[d2,c63]) ).
cnf(d4,plain,
sK78 != sK78,
inference(demodulation,[status(thm)],[c64,d3]) ).
cnf(d5,plain,
$false,
inference(equality_resolution,[status(thm)],[d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU130+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n026.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 08:40:55 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.50/4.16 % SZS status Theorem for theBenchmark.p
% 16.50/4.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------