%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW478+3 : 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 : n006.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 09:12:04 AM UTC 2026
% Result : Theorem 40.53s 7.95s
% Output : CNFRefutation 40.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 25 ( 25 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_1_InitBlockRed_I1_J,axiom,
hBOOL('hAPP$uf1453283057l$ubool'('hAPP$uP1303341961l$ubool'('member773094996on$uval','hAPP$uP1886180715on$uval'('hAPP$uP1870962205on$uval'('produc1441475159on$uval','hAPP$uP604205461on$uval'('hAPP$ue1659493427on$uval'('produc1259058957on$uval',ea),'hAPP$uf1727192346on$uval'('hAPP$uf1849790461on$uval'('produc899768717on$uval',ha),'fun$uup1149430426on$uval'(la,'v$u1','hAPP$uval$uoption$uval'('some$uval',v))))),'hAPP$uP604205461on$uval'('hAPP$ue1659493427on$uval'('produc1259058957on$uval','e$ua'),'hAPP$uf1727192346on$uval'('hAPP$uf1849790461on$uval'('produc899768717on$uval','h$ua'),'l$ua')))),red(p))) ).
fof(conj_0,conjecture,
hBOOL('hAPP$uf1453283057l$ubool'('hAPP$uP1303341961l$ubool'('member773094996on$uval','hAPP$uP1886180715on$uval'('hAPP$uP1870962205on$uval'('produc1441475159on$uval','hAPP$uP604205461on$uval'('hAPP$ue1659493427on$uval'('produc1259058957on$uval',ea),'hAPP$uf1727192346on$uval'('hAPP$uf1849790461on$uval'('produc899768717on$uval',ha),'fun$uup1149430426on$uval'(la,'v$u1','hAPP$uval$uoption$uval'('some$uval',v))))),'hAPP$uP604205461on$uval'('hAPP$ue1659493427on$uval'('produc1259058957on$uval','e$ua'),'hAPP$uf1727192346on$uval'('hAPP$uf1849790461on$uval'('produc899768717on$uval','h$ua'),'l$ua')))),red(p))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL('hAPP$uf1453283057l$ubool'('hAPP$uP1303341961l$ubool'('member773094996on$uval','hAPP$uP1886180715on$uval'('hAPP$uP1870962205on$uval'('produc1441475159on$uval','hAPP$uP604205461on$uval'('hAPP$ue1659493427on$uval'('produc1259058957on$uval',ea),'hAPP$uf1727192346on$uval'('hAPP$uf1849790461on$uval'('produc899768717on$uval',ha),'fun$uup1149430426on$uval'(la,'v$u1','hAPP$uval$uoption$uval'('some$uval',v))))),'hAPP$uP604205461on$uval'('hAPP$ue1659493427on$uval'('produc1259058957on$uval','e$ua'),'hAPP$uf1727192346on$uval'('hAPP$uf1849790461on$uval'('produc899768717on$uval','h$ua'),'l$ua')))),red(p))),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c142,plain,
hBOOL('hAPP$uf1453283057l$ubool'('hAPP$uP1303341961l$ubool'('member773094996on$uval','hAPP$uP1886180715on$uval'('hAPP$uP1870962205on$uval'('produc1441475159on$uval','hAPP$uP604205461on$uval'('hAPP$ue1659493427on$uval'('produc1259058957on$uval',ea),'hAPP$uf1727192346on$uval'('hAPP$uf1849790461on$uval'('produc899768717on$uval',ha),'fun$uup1149430426on$uval'(la,'v$u1','hAPP$uval$uoption$uval'('some$uval',v))))),'hAPP$uP604205461on$uval'('hAPP$ue1659493427on$uval'('produc1259058957on$uval','e$ua'),'hAPP$uf1727192346on$uval'('hAPP$uf1849790461on$uval'('produc899768717on$uval','h$ua'),'l$ua')))),red(p))),
inference(clausification,[status(esa)],[fact_1_InitBlockRed_I1_J]) ).
cnf(c2301,plain,
~ hBOOL('hAPP$uf1453283057l$ubool'('hAPP$uP1303341961l$ubool'('member773094996on$uval','hAPP$uP1886180715on$uval'('hAPP$uP1870962205on$uval'('produc1441475159on$uval','hAPP$uP604205461on$uval'('hAPP$ue1659493427on$uval'('produc1259058957on$uval',ea),'hAPP$uf1727192346on$uval'('hAPP$uf1849790461on$uval'('produc899768717on$uval',ha),'fun$uup1149430426on$uval'(la,'v$u1','hAPP$uval$uoption$uval'('some$uval',v))))),'hAPP$uP604205461on$uval'('hAPP$ue1659493427on$uval'('produc1259058957on$uval','e$ua'),'hAPP$uf1727192346on$uval'('hAPP$uf1849790461on$uval'('produc899768717on$uval','h$ua'),'l$ua')))),red(p))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c2301,c142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW478+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.99 % Computer : n006.cluster.edu
% 0.09/0.99 % Model : x86_64 x86_64
% 0.09/0.99 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.99 % Memory : 8046.5625MB
% 0.09/0.99 % OS : Linux 6.8.0-71-generic
% 0.09/0.99 % CPULimit : 300
% 0.09/0.99 % WCLimit : 300
% 0.09/0.99 % DateTime : Sat Sep 26 16:07:44 UTC 2026
% 0.09/0.99 % CPUTime :
% 0.09/0.99 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.53/7.95 % SZS status Theorem for theBenchmark.p
% 40.53/7.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------