%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW473+5 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 09:11:59 AM UTC 2026
% Result : Theorem 39.57s 10.47s
% Output : CNFRefutation 39.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 5 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 18 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_78_imageI,axiom,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X4))
=> hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),hAPP(X1,X0,X2,X3)),hAPP(fun(X1,bool),fun(X0,bool),hAPP(fun(X1,X0),fun(fun(X1,bool),fun(X0,bool)),image(X1,X0),X2),X4))) ) ).
fof(fact_84_insert__subset,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),'ord$uless$ueq'(fun(X0,bool)),hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),X2)),X3))
<=> ( hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),'ord$uless$ueq'(fun(X0,bool)),X2),X3))
& hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),X1),X3)) ) ) ).
fof(conj_1,hypothesis,
hBOOL(hAPP(fun('x$ua',bool),bool,hAPP(fun('x$ua',bool),fun(fun('x$ua',bool),bool),'ord$uless$ueq'(fun('x$ua',bool)),g),hAPP(fun(pname,bool),fun('x$ua',bool),hAPP(fun(pname,'x$ua'),fun(fun(pname,bool),fun('x$ua',bool)),image(pname,'x$ua'),'mgt$ucall'),u))) ).
fof(conj_4,hypothesis,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)) ).
fof(conj_6,conjecture,
hBOOL(hAPP(fun('x$ua',bool),bool,hAPP(fun('x$ua',bool),fun(fun('x$ua',bool),bool),'ord$uless$ueq'(fun('x$ua',bool)),hAPP(fun('x$ua',bool),fun('x$ua',bool),hAPP('x$ua',fun(fun('x$ua',bool),fun('x$ua',bool)),insert('x$ua'),hAPP(pname,'x$ua','mgt$ucall',pn)),g)),hAPP(fun(pname,bool),fun('x$ua',bool),hAPP(fun(pname,'x$ua'),fun(fun(pname,bool),fun('x$ua',bool)),image(pname,'x$ua'),'mgt$ucall'),u))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL(hAPP(fun('x$ua',bool),bool,hAPP(fun('x$ua',bool),fun(fun('x$ua',bool),bool),'ord$uless$ueq'(fun('x$ua',bool)),hAPP(fun('x$ua',bool),fun('x$ua',bool),hAPP('x$ua',fun(fun('x$ua',bool),fun('x$ua',bool)),insert('x$ua'),hAPP(pname,'x$ua','mgt$ucall',pn)),g)),hAPP(fun(pname,bool),fun('x$ua',bool),hAPP(fun(pname,'x$ua'),fun(fun(pname,bool),fun('x$ua',bool)),image(pname,'x$ua'),'mgt$ucall'),u))),
inference(negate_conjecture,[status(cth)],[conj_6]) ).
cnf(c135,plain,
( hBOOL(hAPP(fun(X3,bool),bool,hAPP(X3,fun(fun(X3,bool),bool),member(X3),hAPP(X0,X3,X4,X1)),hAPP(fun(X0,bool),fun(X3,bool),hAPP(fun(X0,X3),fun(fun(X0,bool),fun(X3,bool)),image(X0,X3),X4),X2)))
| ~ hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),X1),X2)) ),
inference(clausification,[status(esa)],[fact_78_imageI]) ).
cnf(c143,plain,
( ~ hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),'ord$uless$ueq'(fun(X0,bool)),X2),X3))
| ~ hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
| hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),'ord$uless$ueq'(fun(X0,bool)),hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),X2)),X3)) ),
inference(clausification,[status(esa)],[fact_84_insert__subset]) ).
cnf(c194,plain,
hBOOL(hAPP(fun('x$ua',bool),bool,hAPP(fun('x$ua',bool),fun(fun('x$ua',bool),bool),'ord$uless$ueq'(fun('x$ua',bool)),g),hAPP(fun(pname,bool),fun('x$ua',bool),hAPP(fun(pname,'x$ua'),fun(fun(pname,bool),fun('x$ua',bool)),image(pname,'x$ua'),'mgt$ucall'),u))),
inference(clausification,[status(esa)],[conj_1]) ).
cnf(c197,plain,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
inference(clausification,[status(esa)],[conj_4]) ).
cnf(c199,plain,
~ hBOOL(hAPP(fun('x$ua',bool),bool,hAPP(fun('x$ua',bool),fun(fun('x$ua',bool),bool),'ord$uless$ueq'(fun('x$ua',bool)),hAPP(fun('x$ua',bool),fun('x$ua',bool),hAPP('x$ua',fun(fun('x$ua',bool),fun('x$ua',bool)),insert('x$ua'),hAPP(pname,'x$ua','mgt$ucall',pn)),g)),hAPP(fun(pname,bool),fun('x$ua',bool),hAPP(fun(pname,'x$ua'),fun(fun(pname,bool),fun('x$ua',bool)),image(pname,'x$ua'),'mgt$ucall'),u))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ hBOOL(hAPP(fun('x$ua',bool),bool,hAPP(fun('x$ua',bool),fun(fun('x$ua',bool),bool),'ord$uless$ueq'(fun('x$ua',bool)),g),hAPP(fun(pname,bool),fun('x$ua',bool),hAPP(fun(pname,'x$ua'),fun(fun(pname,bool),fun('x$ua',bool)),image(pname,'x$ua'),'mgt$ucall'),u)))
| ~ hBOOL(hAPP(fun('x$ua',bool),bool,hAPP('x$ua',fun(fun('x$ua',bool),bool),member('x$ua'),hAPP(pname,'x$ua','mgt$ucall',pn)),hAPP(fun(pname,bool),fun('x$ua',bool),hAPP(fun(pname,'x$ua'),fun(fun(pname,bool),fun('x$ua',bool)),image(pname,'x$ua'),'mgt$ucall'),u))) ),
inference(resolution,[status(thm)],[c143,c199]) ).
cnf(d1,plain,
( ~ hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u))
| ~ hBOOL(hAPP(fun('x$ua',bool),bool,hAPP(fun('x$ua',bool),fun(fun('x$ua',bool),bool),'ord$uless$ueq'(fun('x$ua',bool)),g),hAPP(fun(pname,bool),fun('x$ua',bool),hAPP(fun(pname,'x$ua'),fun(fun(pname,bool),fun('x$ua',bool)),image(pname,'x$ua'),'mgt$ucall'),u))) ),
inference(resolution,[status(thm)],[d0,c135]) ).
cnf(d2,plain,
~ hBOOL(hAPP(fun('x$ua',bool),bool,hAPP(fun('x$ua',bool),fun(fun('x$ua',bool),bool),'ord$uless$ueq'(fun('x$ua',bool)),g),hAPP(fun(pname,bool),fun('x$ua',bool),hAPP(fun(pname,'x$ua'),fun(fun(pname,bool),fun('x$ua',bool)),image(pname,'x$ua'),'mgt$ucall'),u))),
inference(resolution,[status(thm)],[c197,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW473+5 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n018.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 26 16:03:58 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.57/10.47 % SZS status Theorem for theBenchmark.p
% 39.57/10.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------