%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 08:31:40 AM UTC 2026
% Result : Theorem 20.12s 3.09s
% Output : CNFRefutation 20.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 22 ( 7 ~; 9 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(subclass_defn,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ) ).
fof(transitivity,conjecture,
! [X0,X1,X2] :
( ( subclass(X1,X2)
& subclass(X0,X1) )
=> subclass(X0,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subclass(X1,X2)
& subclass(X0,X1) )
=> subclass(X0,X2) ),
inference(negate_conjecture,[status(cth)],[transitivity]) ).
cnf(c0,plain,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_defn]) ).
cnf(c1,plain,
( member(sK3(X0,X1),X0)
| subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_defn]) ).
cnf(c2,plain,
( ~ member(sK3(X0,X1),X1)
| subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_defn]) ).
cnf(c89,plain,
subclass(sK90,sK91),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
subclass(sK91,sK92),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c91,plain,
~ subclass(sK90,sK92),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ member(X0,sK91)
| member(X0,sK92) ),
inference(resolution,[status(thm)],[c90,c0]) ).
cnf(d1,plain,
( ~ member(X0,sK90)
| member(X0,sK91) ),
inference(resolution,[status(thm)],[c0,c89]) ).
cnf(d2,plain,
( subclass(sK90,X0)
| member(sK3(sK90,X0),sK91) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( member(sK3(sK90,X0),sK92)
| subclass(sK90,X0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( subclass(sK90,sK92)
| subclass(sK90,sK92) ),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c91,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n020.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 06:55:33 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.12/3.09 % SZS status Theorem for theBenchmark.p
% 20.12/3.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------