%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU167+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:41:08 AM UTC 2026
% Result : Theorem 13.81s 2.39s
% Output : CNFRefutation 13.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 9 |; 4 &)
% ( 0 <=>; 4 =>; 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 : 31 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t118_zfmisc_1,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset('cartesian$uproduct2'(X2,X0),'cartesian$uproduct2'(X2,X1))
& subset('cartesian$uproduct2'(X0,X2),'cartesian$uproduct2'(X1,X2)) ) ) ).
fof(t1_xboole_1,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ).
fof(t119_zfmisc_1,conjecture,
! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset('cartesian$uproduct2'(X0,X2),'cartesian$uproduct2'(X1,X3)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset('cartesian$uproduct2'(X0,X2),'cartesian$uproduct2'(X1,X3)) ),
inference(negate_conjecture,[status(cth)],[t119_zfmisc_1]) ).
cnf(c3,plain,
( subset('cartesian$uproduct2'(X0,X2),'cartesian$uproduct2'(X1,X2))
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t118_zfmisc_1]) ).
cnf(c4,plain,
( subset('cartesian$uproduct2'(X2,X0),'cartesian$uproduct2'(X2,X1))
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t118_zfmisc_1]) ).
cnf(c5,plain,
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t1_xboole_1]) ).
cnf(c6,plain,
subset(sK10,sK11),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7,plain,
subset(sK12,sK13),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
~ subset('cartesian$uproduct2'(sK10,sK12),'cartesian$uproduct2'(sK11,sK13)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset(X2,'cartesian$uproduct2'(X0,X3))
| subset(X2,'cartesian$uproduct2'(X1,X3))
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[c3,c5]) ).
cnf(d1,plain,
( ~ subset(X1,X3)
| ~ subset(X0,X2)
| subset('cartesian$uproduct2'(X0,X1),'cartesian$uproduct2'(X2,X3)) ),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ subset(sK10,sK11)
| ~ subset(sK12,sK13) ),
inference(resolution,[status(thm)],[d1,c8]) ).
cnf(d3,plain,
~ subset(sK12,sK13),
inference(resolution,[status(thm)],[c6,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c7,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU167+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.60 % Computer : n005.cluster.edu
% 0.16/0.60 % Model : x86_64 x86_64
% 0.16/0.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.60 % Memory : 8046.5625MB
% 0.16/0.60 % OS : Linux 6.8.0-71-generic
% 0.16/0.60 % CPULimit : 300
% 0.16/0.60 % WCLimit : 300
% 0.16/0.60 % DateTime : Sat Sep 26 08:43:32 UTC 2026
% 0.16/0.60 % CPUTime :
% 0.16/0.60 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.81/2.39 % SZS status Theorem for theBenchmark.p
% 13.81/2.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------