%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET589+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 08:32:49 AM UTC 2026
% Result : Theorem 10.13s 1.65s
% Output : CNFRefutation 10.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 9 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(transitivity_of_subset,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ).
fof(difference_subset1,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(difference(X0,X2),difference(X1,X2)) ) ).
fof(difference_subset2,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(difference(X2,X1),difference(X2,X0)) ) ).
fof(prove_th48,conjecture,
! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(difference(X0,X3),difference(X1,X2)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(difference(X0,X3),difference(X1,X2)) ),
inference(negate_conjecture,[status(cth)],[prove_th48]) ).
cnf(c0,plain,
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_of_subset]) ).
cnf(c1,plain,
( subset(difference(X0,X2),difference(X1,X2))
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[difference_subset1]) ).
cnf(c2,plain,
( subset(difference(X2,X1),difference(X2,X0))
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[difference_subset2]) ).
cnf(c10,plain,
subset(sK17,sK18),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
subset(sK19,sK20),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
~ subset(difference(sK17,sK20),difference(sK18,sK19)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset(X2,difference(X0,X3))
| subset(X2,difference(X1,X3))
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( ~ subset(X3,X1)
| ~ subset(X0,X2)
| subset(difference(X0,X1),difference(X2,X3)) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( ~ subset(sK17,sK18)
| ~ subset(sK19,sK20) ),
inference(resolution,[status(thm)],[d1,c12]) ).
cnf(d3,plain,
~ subset(sK19,sK20),
inference(resolution,[status(thm)],[c10,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c11,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET589+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 07:55:41 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.13/1.65 % SZS status Theorem for theBenchmark.p
% 10.13/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------