%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET625+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 08:32:56 AM UTC 2026
% Result : Theorem 9.69s 1.65s
% Output : CNFRefutation 9.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 37 ( 15 ~; 13 |; 3 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 13 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(intersect_defn,axiom,
! [X0,X1] :
( intersect(X0,X1)
<=> ? [X2] :
( member(X2,X1)
& member(X2,X0) ) ) ).
fof(subset_defn,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ) ).
fof(symmetry_of_intersect,axiom,
! [X0,X1] :
( intersect(X0,X1)
=> intersect(X1,X0) ) ).
fof(prove_th101,conjecture,
! [X0,X1,X2] :
( ( subset(X1,X2)
& intersect(X0,X1) )
=> intersect(X0,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X1,X2)
& intersect(X0,X1) )
=> intersect(X0,X2) ),
inference(negate_conjecture,[status(cth)],[prove_th101]) ).
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(c2,plain,
( ~ member(X2,X1)
| ~ member(X2,X0)
| intersect(X0,X1) ),
inference(clausification,[status(esa)],[intersect_defn]) ).
cnf(c3,plain,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[subset_defn]) ).
cnf(c6,plain,
( intersect(X1,X0)
| ~ intersect(X0,X1) ),
inference(clausification,[status(esa)],[symmetry_of_intersect]) ).
cnf(c8,plain,
intersect(sK11,sK12),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c9,plain,
subset(sK12,sK13),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c10,plain,
~ intersect(sK11,sK13),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
intersect(sK12,sK11),
inference(resolution,[status(thm)],[c6,c8]) ).
cnf(d1,plain,
( ~ member(X0,sK12)
| member(X0,sK13) ),
inference(resolution,[status(thm)],[c3,c9]) ).
cnf(d2,plain,
( ~ intersect(sK12,X0)
| member(sK2(sK12,X0),sK13) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( ~ intersect(X2,X0)
| ~ member(sK2(X2,X0),X1)
| intersect(X0,X1) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d4,plain,
( ~ intersect(sK12,X0)
| intersect(X0,sK13)
| ~ intersect(sK12,X0) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
intersect(sK11,sK13),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c10,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET625+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 08:04:10 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.69/1.65 % SZS status Theorem for theBenchmark.p
% 9.69/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------