%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET575+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 : n005.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 08:32:47 AM UTC 2026
% Result : Theorem 9.24s 1.74s
% Output : CNFRefutation 9.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 23 ( 10 ~; 6 |; 3 &)
% ( 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(intersect_defn,axiom,
! [X0,X1] :
( intersect(X0,X1)
<=> ? [X2] :
( member(X2,X1)
& member(X2,X0) ) ) ).
fof(symmetry_of_intersect,axiom,
! [X0,X1] :
( intersect(X0,X1)
=> intersect(X1,X0) ) ).
fof(prove_th15,conjecture,
! [X0,X1] :
( intersect(X0,X1)
=> ? [X2] :
( member(X2,X1)
& member(X2,X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( intersect(X0,X1)
=> ? [X2] :
( member(X2,X1)
& member(X2,X0) ) ),
inference(negate_conjecture,[status(cth)],[prove_th15]) ).
cnf(c0,plain,
( member(sK2(X0,X1),X0)
| ~ intersect(X0,X1) ),
inference(clausification,[status(esa)],[intersect_defn]) ).
cnf(c1,plain,
( member(sK2(X0,X1),X1)
| ~ intersect(X0,X1) ),
inference(clausification,[status(esa)],[intersect_defn]) ).
cnf(c3,plain,
( intersect(X1,X0)
| ~ intersect(X0,X1) ),
inference(clausification,[status(esa)],[symmetry_of_intersect]) ).
cnf(c4,plain,
intersect(sK6,sK7),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
( ~ member(X0,sK7)
| ~ member(X0,sK6) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
intersect(sK7,sK6),
inference(resolution,[status(thm)],[c3,c4]) ).
cnf(d1,plain,
( ~ intersect(sK7,X0)
| ~ member(sK2(sK7,X0),sK6) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d2,plain,
( ~ intersect(sK7,sK6)
| ~ intersect(sK7,sK6) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET575+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
% 0.08/0.56 % Computer : n005.cluster.edu
% 0.08/0.56 % Model : x86_64 x86_64
% 0.08/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.56 % Memory : 8046.5625MB
% 0.08/0.56 % OS : Linux 6.8.0-71-generic
% 0.08/0.56 % CPULimit : 300
% 0.08/0.56 % WCLimit : 300
% 0.08/0.56 % DateTime : Sat Sep 26 07:56:47 UTC 2026
% 0.08/0.56 % CPUTime :
% 0.08/0.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.24/1.74 % SZS status Theorem for theBenchmark.p
% 9.24/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------