%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU121+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 08:40:55 AM UTC 2026
% Result : Theorem 17.79s 2.77s
% Output : CNFRefutation 17.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 22 ( 7 ~; 9 |; 2 &)
% ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
fof(t1_xboole_1,conjecture,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
inference(negate_conjecture,[status(cth)],[t1_xboole_1]) ).
cnf(c4,plain,
( in(X2,X1)
| ~ in(X2,X0)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c5,plain,
( in(sK10(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c6,plain,
( ~ in(sK10(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c34,plain,
subset(sK40,sK41),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c35,plain,
subset(sK41,sK42),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c36,plain,
~ subset(sK40,sK42),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ in(X0,sK41)
| in(X0,sK42) ),
inference(resolution,[status(thm)],[c4,c35]) ).
cnf(d1,plain,
( ~ in(X0,sK40)
| in(X0,sK41) ),
inference(resolution,[status(thm)],[c4,c34]) ).
cnf(d2,plain,
( in(sK10(sK40,X0),sK41)
| subset(sK40,X0) ),
inference(resolution,[status(thm)],[c5,d1]) ).
cnf(d3,plain,
( in(sK10(sK40,X0),sK42)
| subset(sK40,X0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( subset(sK40,sK42)
| subset(sK40,sK42) ),
inference(resolution,[status(thm)],[d3,c6]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c36,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU121+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n017.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 08:33:03 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.79/2.77 % SZS status Theorem for theBenchmark.p
% 17.79/2.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------