%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET932+1 : TPTP v9.3.1. Released v3.2.0.
% 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 08:33:36 AM UTC 2026
% Result : Theorem 13.13s 3.61s
% Output : CNFRefutation 13.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 44 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 39 ( 15 ~; 16 |; 1 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 39 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_zfmisc_1,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ) ).
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
fof(t1_xboole_1,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ).
fof(t79_zfmisc_1,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> subset(powerset(X0),powerset(X1)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> subset(powerset(X0),powerset(X1)) ),
inference(negate_conjecture,[status(cth)],[t79_zfmisc_1]) ).
cnf(c1,plain,
( subset(X2,X1)
| ~ in(X2,X0)
| X0 != powerset(X1) ),
inference(clausification,[status(esa)],[d1_zfmisc_1]) ).
cnf(c2,plain,
( ~ subset(X2,X1)
| in(X2,X0)
| X0 != powerset(X1) ),
inference(clausification,[status(esa)],[d1_zfmisc_1]) ).
cnf(c8,plain,
( in(sK9(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c9,plain,
( ~ in(sK9(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c13,plain,
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t1_xboole_1]) ).
cnf(c14,plain,
subset(sK17,sK18),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
~ subset(powerset(sK17),powerset(sK18)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset(X0,X1)
| in(X0,powerset(X1)) ),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(d1,plain,
( subset(X0,powerset(X1))
| ~ subset(sK9(X0,powerset(X1)),X1) ),
inference(resolution,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
( subset(X0,X1)
| ~ in(X0,powerset(X1)) ),
inference(equality_resolution,[status(thm)],[c1]) ).
cnf(d3,plain,
( subset(sK9(powerset(X0),X1),X0)
| subset(powerset(X0),X1) ),
inference(resolution,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
( subset(sK9(powerset(X0),X1),X2)
| ~ subset(X0,X2)
| subset(powerset(X0),X1) ),
inference(resolution,[status(thm)],[d3,c13]) ).
cnf(d5,plain,
( subset(powerset(X0),powerset(X1))
| subset(powerset(X0),powerset(X1))
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
~ subset(sK17,sK18),
inference(resolution,[status(thm)],[d5,c15]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c14,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET932+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n014.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 08:26:16 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.13/3.61 % SZS status Theorem for theBenchmark.p
% 13.13/3.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------