%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET056+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 : n004.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 08:31:47 AM UTC 2026
% Result : Theorem 18.96s 3.25s
% Output : CNFRefutation 18.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 41 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 36 ( 13 ~; 15 |; 5 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(subclass_defn,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ) ).
fof(extensionality,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X1,X0)
& subclass(X0,X1) ) ) ).
fof(equality1,conjecture,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) )
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
| X0 = X1 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) )
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
| X0 = X1 ),
inference(negate_conjecture,[status(cth)],[equality1]) ).
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(c6,plain,
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[extensionality]) ).
cnf(c89,plain,
sK90 != sK91,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
( member(X0,sK91)
| ~ member(X0,sK90) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c91,plain,
( member(X0,sK90)
| ~ member(X0,sK91) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( member(sK3(sK90,X0),sK91)
| subclass(sK90,X0) ),
inference(resolution,[status(thm)],[c1,c90]) ).
cnf(d1,plain,
( subclass(sK90,sK91)
| subclass(sK90,sK91) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( ~ subclass(sK91,sK90)
| sK91 = sK90 ),
inference(resolution,[status(thm)],[c6,d1]) ).
cnf(d3,plain,
( subclass(sK91,X0)
| member(sK3(sK91,X0),sK90) ),
inference(resolution,[status(thm)],[c91,c1]) ).
cnf(d4,plain,
( subclass(sK91,sK90)
| subclass(sK91,sK90) ),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
sK91 = sK90,
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
sK90 != sK90,
inference(demodulation,[status(thm)],[c89,d5]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET056+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n004.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sat Sep 26 07:00:23 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.96/3.25 % SZS status Theorem for theBenchmark.p
% 18.96/3.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------