%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU173+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 : n016.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 08:41:09 AM UTC 2026
% Result : Theorem 12.96s 4.52s
% Output : CNFRefutation 12.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 46 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 40 ( 14 ~; 13 |; 1 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 1 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_zfmisc_1,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ) ).
fof(d2_subset_1,axiom,
! [X0,X1] :
( ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) )
& ( ~ empty(X0)
=> ( element(X1,X0)
<=> in(X1,X0) ) ) ) ).
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
fof(fc1_subset_1,axiom,
! [X0] : ~ empty(powerset(X0)) ).
fof(l71_subset_1,conjecture,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
inference(negate_conjecture,[status(cth)],[l71_subset_1]) ).
cnf(c17,plain,
( ~ subset(X2,X1)
| in(X2,X0)
| X0 != powerset(X1) ),
inference(clausification,[status(esa)],[d1_zfmisc_1]) ).
cnf(c23,plain,
( ~ in(X1,X0)
| element(X1,X0)
| empty(X0) ),
inference(clausification,[status(esa)],[d2_subset_1]) ).
cnf(c63,plain,
( in(sK54(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c64,plain,
( ~ in(sK54(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c107,plain,
~ empty(powerset(X0)),
inference(clausification,[status(esa)],[fc1_subset_1]) ).
cnf(c219,plain,
( in(X0,sK268)
| ~ in(X0,sK267) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c220,plain,
~ element(sK267,powerset(sK268)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset(X0,X1)
| in(X0,powerset(X1)) ),
inference(equality_resolution,[status(thm)],[c17]) ).
cnf(d1,plain,
( empty(powerset(X1))
| element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[d0,c23]) ).
cnf(d2,plain,
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[c107,d1]) ).
cnf(d3,plain,
~ subset(sK267,sK268),
inference(resolution,[status(thm)],[d2,c220]) ).
cnf(d4,plain,
( in(sK54(sK267,X0),sK268)
| subset(sK267,X0) ),
inference(resolution,[status(thm)],[c63,c219]) ).
cnf(d5,plain,
( subset(sK267,sK268)
| subset(sK267,sK268) ),
inference(resolution,[status(thm)],[c64,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU173+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
% 0.09/0.56 % Computer : n016.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sat Sep 26 08:49:32 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.96/4.52 % SZS status Theorem for theBenchmark.p
% 12.96/4.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------