%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW473+2 : TPTP v9.3.1. Released v5.3.0.
% 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 09:11:58 AM UTC 2026
% Result : Theorem 19.75s 5.42s
% Output : CNFRefutation 19.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 4 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_307_imageI,axiom,
! [X0,X1,X2] :
( hBOOL('hAPP$uf1664156314l$ubool'('hAPP$up338031245l$ubool'('member$upname',X1),X2))
=> hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$ua85458249l$ubool'('member$ua','hAPP$upname$ua'(X0,X1)),'image$upname$ua'(X0,X2))) ) ).
fof(fact_324_insert__subset,axiom,
! [X0,X1,X2] :
( hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$uf1631501043l$ubool'('ord$ule1311769555a$ubool','insert$ua'(X0,X1)),X2))
<=> ( hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$uf1631501043l$ubool'('ord$ule1311769555a$ubool',X1),X2))
& hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$ua85458249l$ubool'('member$ua',X0),X2)) ) ) ).
fof(conj_1,hypothesis,
hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$uf1631501043l$ubool'('ord$ule1311769555a$ubool',g),'image$upname$ua'('mgt$ucall',u))) ).
fof(conj_4,hypothesis,
hBOOL('hAPP$uf1664156314l$ubool'('hAPP$up338031245l$ubool'('member$upname',pn),u)) ).
fof(conj_6,conjecture,
hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$uf1631501043l$ubool'('ord$ule1311769555a$ubool','insert$ua'('hAPP$upname$ua'('mgt$ucall',pn),g)),'image$upname$ua'('mgt$ucall',u))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$uf1631501043l$ubool'('ord$ule1311769555a$ubool','insert$ua'('hAPP$upname$ua'('mgt$ucall',pn),g)),'image$upname$ua'('mgt$ucall',u))),
inference(negate_conjecture,[status(cth)],[conj_6]) ).
cnf(c130,plain,
( hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$ua85458249l$ubool'('member$ua','hAPP$upname$ua'(X2,X0)),'image$upname$ua'(X2,X1)))
| ~ hBOOL('hAPP$uf1664156314l$ubool'('hAPP$up338031245l$ubool'('member$upname',X0),X1)) ),
inference(clausification,[status(esa)],[fact_307_imageI]) ).
cnf(c139,plain,
( ~ hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$uf1631501043l$ubool'('ord$ule1311769555a$ubool',X1),X2))
| ~ hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$ua85458249l$ubool'('member$ua',X0),X2))
| hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$uf1631501043l$ubool'('ord$ule1311769555a$ubool','insert$ua'(X0,X1)),X2)) ),
inference(clausification,[status(esa)],[fact_324_insert__subset]) ).
cnf(c365,plain,
hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$uf1631501043l$ubool'('ord$ule1311769555a$ubool',g),'image$upname$ua'('mgt$ucall',u))),
inference(clausification,[status(esa)],[conj_1]) ).
cnf(c366,plain,
hBOOL('hAPP$uf1664156314l$ubool'('hAPP$up338031245l$ubool'('member$upname',pn),u)),
inference(clausification,[status(esa)],[conj_4]) ).
cnf(c368,plain,
~ hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$uf1631501043l$ubool'('ord$ule1311769555a$ubool','insert$ua'('hAPP$upname$ua'('mgt$ucall',pn),g)),'image$upname$ua'('mgt$ucall',u))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$uf1631501043l$ubool'('ord$ule1311769555a$ubool',g),'image$upname$ua'('mgt$ucall',u)))
| ~ hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$ua85458249l$ubool'('member$ua','hAPP$upname$ua'('mgt$ucall',pn)),'image$upname$ua'('mgt$ucall',u))) ),
inference(resolution,[status(thm)],[c139,c368]) ).
cnf(d1,plain,
~ hBOOL('hAPP$ufun$ua$ubool$ubool'('hAPP$ua85458249l$ubool'('member$ua','hAPP$upname$ua'('mgt$ucall',pn)),'image$upname$ua'('mgt$ucall',u))),
inference(resolution,[status(thm)],[c365,d0]) ).
cnf(d2,plain,
~ hBOOL('hAPP$uf1664156314l$ubool'('hAPP$up338031245l$ubool'('member$upname',pn),u)),
inference(resolution,[status(thm)],[d1,c130]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c366,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW473+2 : TPTP v9.3.1. Released v5.3.0.
% 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 16:00:50 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.75/5.42 % SZS status Theorem for theBenchmark.p
% 19.75/5.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------