%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU133+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 08:40:58 AM UTC 2026
% Result : Theorem 23.75s 6.41s
% Output : CNFRefutation 23.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 24 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 19 ( 7 ~; 7 |; 1 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 2 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
fof(d4_xboole_0,axiom,
! [X0,X1,X2] :
( X2 = 'set$udifference'(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( ~ in(X3,X1)
& in(X3,X0) ) ) ) ).
fof(t36_xboole_1,conjecture,
! [X0,X1] : subset('set$udifference'(X0,X1),X0) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] : subset('set$udifference'(X0,X1),X0),
inference(negate_conjecture,[status(cth)],[t36_xboole_1]) ).
cnf(c17,plain,
( in(sK20(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c18,plain,
( ~ in(sK20(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c27,plain,
( in(X3,X0)
| ~ in(X3,X2)
| 'set$udifference'(X0,X1) != X2 ),
inference(clausification,[status(esa)],[d4_xboole_0]) ).
cnf(c75,plain,
~ subset('set$udifference'(sK96,sK97),sK96),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( in(X0,X1)
| ~ in(X0,'set$udifference'(X1,X2)) ),
inference(equality_resolution,[status(thm)],[c27]) ).
cnf(d1,plain,
( subset('set$udifference'(X0,X1),X2)
| in(sK20('set$udifference'(X0,X1),X2),X0) ),
inference(resolution,[status(thm)],[d0,c17]) ).
cnf(d2,plain,
( subset('set$udifference'(X0,X1),X0)
| subset('set$udifference'(X0,X1),X0) ),
inference(resolution,[status(thm)],[d1,c18]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU133+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 08:38:31 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.75/6.41 % SZS status Theorem for theBenchmark.p
% 23.75/6.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------