%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU250+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 08:41:26 AM UTC 2026
% Result : Theorem 12.58s 2.28s
% Output : CNFRefutation 12.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 16 ~; 16 |; 3 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
fof(t19_wellord1,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,'relation$ufield'('relation$urestriction'(X2,X1)))
=> ( in(X0,X1)
& in(X0,'relation$ufield'(X2)) ) ) ) ).
fof(t20_wellord1,conjecture,
! [X0,X1] :
( relation(X1)
=> ( subset('relation$ufield'('relation$urestriction'(X1,X0)),X0)
& subset('relation$ufield'('relation$urestriction'(X1,X0)),'relation$ufield'(X1)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( subset('relation$ufield'('relation$urestriction'(X1,X0)),X0)
& subset('relation$ufield'('relation$urestriction'(X1,X0)),'relation$ufield'(X1)) ) ),
inference(negate_conjecture,[status(cth)],[t20_wellord1]) ).
cnf(c8,plain,
( in(sK11(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c9,plain,
( ~ in(sK11(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c30,plain,
( in(X1,'relation$ufield'(X0))
| ~ in(X1,'relation$ufield'('relation$urestriction'(X0,X2)))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t19_wellord1]) ).
cnf(c31,plain,
( in(X1,X2)
| ~ in(X1,'relation$ufield'('relation$urestriction'(X0,X2)))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t19_wellord1]) ).
cnf(c43,plain,
relation(sK57),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c44,plain,
( ~ subset('relation$ufield'('relation$urestriction'(sK57,sK56)),sK56)
| ~ subset('relation$ufield'('relation$urestriction'(sK57,sK56)),'relation$ufield'(sK57)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( subset('relation$ufield'('relation$urestriction'(X0,X1)),X2)
| ~ relation(X0)
| in(sK11('relation$ufield'('relation$urestriction'(X0,X1)),X2),'relation$ufield'(X0)) ),
inference(resolution,[status(thm)],[c30,c8]) ).
cnf(d1,plain,
( subset('relation$ufield'('relation$urestriction'(X0,X1)),'relation$ufield'(X0))
| subset('relation$ufield'('relation$urestriction'(X0,X1)),'relation$ufield'(X0))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
( ~ subset('relation$ufield'('relation$urestriction'(sK57,sK56)),sK56)
| ~ relation(sK57) ),
inference(resolution,[status(thm)],[d1,c44]) ).
cnf(d3,plain,
~ subset('relation$ufield'('relation$urestriction'(sK57,sK56)),sK56),
inference(resolution,[status(thm)],[c43,d2]) ).
cnf(d4,plain,
( subset('relation$ufield'('relation$urestriction'(X0,X1)),X2)
| ~ relation(X0)
| in(sK11('relation$ufield'('relation$urestriction'(X0,X1)),X2),X1) ),
inference(resolution,[status(thm)],[c31,c8]) ).
cnf(d5,plain,
( subset('relation$ufield'('relation$urestriction'(X0,X1)),X1)
| subset('relation$ufield'('relation$urestriction'(X0,X1)),X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[d4,c9]) ).
cnf(d6,plain,
~ relation(sK57),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c43,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU250+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sat Sep 26 08:58:36 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.58/2.28 % SZS status Theorem for theBenchmark.p
% 12.58/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------