%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET573+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 : n002.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 08:32:46 AM UTC 2026
% Result : Theorem 9.27s 1.53s
% Output : CNFRefutation 9.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 4 |; 3 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 10 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(intersect_defn,axiom,
! [X0,X1] :
( intersect(X0,X1)
<=> ? [X2] :
( member(X2,X1)
& member(X2,X0) ) ) ).
fof(disjoint_defn,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> ~ intersect(X0,X1) ) ).
fof(prove_th12,conjecture,
! [X0,X1,X2] :
( ( disjoint(X1,X2)
& member(X0,X1) )
=> ~ member(X0,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( disjoint(X1,X2)
& member(X0,X1) )
=> ~ member(X0,X2) ),
inference(negate_conjecture,[status(cth)],[prove_th12]) ).
cnf(c2,plain,
( ~ member(X2,X1)
| ~ member(X2,X0)
| intersect(X0,X1) ),
inference(clausification,[status(esa)],[intersect_defn]) ).
cnf(c3,plain,
( ~ intersect(X0,X1)
| ~ disjoint(X0,X1) ),
inference(clausification,[status(esa)],[disjoint_defn]) ).
cnf(c6,plain,
member(sK8,sK9),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7,plain,
disjoint(sK9,sK10),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
member(sK8,sK10),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ intersect(sK9,sK10),
inference(resolution,[status(thm)],[c3,c7]) ).
cnf(d1,plain,
( ~ member(sK8,X0)
| intersect(sK9,X0) ),
inference(resolution,[status(thm)],[c2,c6]) ).
cnf(d2,plain,
intersect(sK9,sK10),
inference(resolution,[status(thm)],[d1,c8]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET573+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
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 07:59:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.27/1.53 % SZS status Theorem for theBenchmark.p
% 9.27/1.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------