%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV373+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 : n020.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 09:02:12 AM UTC 2026
% Result : Theorem 12.69s 2.53s
% Output : CNFRefutation 12.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 29 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 4 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 29 ( 6 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l9_l10,lemma,
! [X0,X1,X2] :
( ok('findmin$ucpq$ueff'(triple(X0,X1,X2)))
=> ( 'less$uthan'('lookup$uslb'(X1,'findmin$upqp$ures'(X0)),'findmin$upqp$ures'(X0))
& 'contains$uslb'(X1,'findmin$upqp$ures'(X0))
& X1 != 'create$uslb' ) ) ).
fof(ax20,axiom,
! [X0] : ~ 'contains$uslb'('create$uslb',X0) ).
fof(ax39,axiom,
! [X0,X1,X2,X3] :
( 'contains$ucpq'(triple(X0,X1,X2),X3)
<=> 'contains$uslb'(X1,X3) ) ).
fof(ax51,axiom,
! [X0,X1,X2,X3] :
( X1 != 'create$uslb'
=> 'findmin$ucpq$ures'(triple(X0,X1,X2)) = 'findmin$upqp$ures'(X0) ) ).
fof(l9_co,conjecture,
! [X0,X1,X2] :
( ~ 'contains$ucpq'(triple(X0,X1,X2),'findmin$ucpq$ures'(triple(X0,X1,X2)))
=> ~ ok('findmin$ucpq$ueff'(triple(X0,X1,X2))) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ 'contains$ucpq'(triple(X0,X1,X2),'findmin$ucpq$ures'(triple(X0,X1,X2)))
=> ~ ok('findmin$ucpq$ueff'(triple(X0,X1,X2))) ),
inference(negate_conjecture,[status(cth)],[l9_co]) ).
cnf(c1,plain,
( 'contains$uslb'(X1,'findmin$upqp$ures'(X0))
| ~ ok('findmin$ucpq$ueff'(triple(X0,X1,X2))) ),
inference(clausification,[status(esa)],[l9_l10]) ).
cnf(c12,plain,
~ 'contains$uslb'('create$uslb',X0),
inference(clausification,[status(esa)],[ax20]) ).
cnf(c38,plain,
( ~ 'contains$uslb'(X1,X3)
| 'contains$ucpq'(triple(X0,X1,X2),X3) ),
inference(clausification,[status(esa)],[ax39]) ).
cnf(c50,plain,
( 'findmin$ucpq$ures'(triple(X1,X0,X2)) = 'findmin$upqp$ures'(X1)
| X0 = 'create$uslb' ),
inference(clausification,[status(esa)],[ax51]) ).
cnf(c53,plain,
~ 'contains$ucpq'(triple(sK120,sK121,sK122),'findmin$ucpq$ures'(triple(sK120,sK121,sK122))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c54,plain,
ok('findmin$ucpq$ueff'(triple(sK120,sK121,sK122))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ 'contains$uslb'(sK121,'findmin$ucpq$ures'(triple(sK120,sK121,sK122))),
inference(resolution,[status(thm)],[c38,c53]) ).
cnf(d1,plain,
( sK121 = 'create$uslb'
| ~ 'contains$uslb'(sK121,'findmin$upqp$ures'(sK120)) ),
inference(superposition,[status(thm)],[c50,d0]) ).
cnf(d2,plain,
'contains$uslb'(sK121,'findmin$upqp$ures'(sK120)),
inference(resolution,[status(thm)],[c1,c54]) ).
cnf(d3,plain,
sK121 = 'create$uslb',
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
'contains$uslb'('create$uslb','findmin$upqp$ures'(sK120)),
inference(demodulation,[status(thm)],[d2,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c12,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV373+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 13:40:34 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.69/2.53 % SZS status Theorem for theBenchmark.p
% 12.69/2.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------