%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW474+1 : 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 : n004.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 57.75s 8.92s
% Output : CNFRefutation 57.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 47 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-2 aty)
% Number of variables : 23 ( 5 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_3_thin,axiom,
! [X0,X1,X2] :
( hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'(X1),X2))
=> ( hBOOL('hAPP$uf971112728l$ubool'('hAPP$uf72706945l$ubool'('ord$ule1285840794e$ubool',X1),X0))
=> hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'(X0),X2)) ) ) ).
fof(fact_33_empty__subsetI,axiom,
! [X0] : hBOOL('hAPP$uf971112728l$ubool'('hAPP$uf72706945l$ubool'('ord$ule1285840794e$ubool','bot$ubo620288102e$ubool'),X0)) ).
fof(fact_103_MGF,axiom,
! [X0] :
( hBOOL('hoare$u165779456gleton')
=> ( hBOOL('wT$ubodies')
=> ( hBOOL(wt(X0))
=> hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'('bot$ubo620288102e$ubool'),'insert1415133716$ustate'('hAPP$uc1126217667$ustate'('hoare$uMirabelle$uMGT',X0),'bot$ubo620288102e$ubool'))) ) ) ) ).
fof(fact_288_WT__bodiesD,axiom,
! [X0,X1] :
( hBOOL('wT$ubodies')
=> ( 'hAPP$up799580910on$ucom'(body,X0) = 'some$ucom'(X1)
=> hBOOL(wt(X1)) ) ) ).
fof(conj_0,hypothesis,
hBOOL('hoare$u165779456gleton') ).
fof(conj_1,hypothesis,
hBOOL('wT$ubodies') ).
fof(conj_5,hypothesis,
'hAPP$up799580910on$ucom'(body,pn) = 'some$ucom'(y) ).
fof(conj_7,conjecture,
hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'('image$u2003357581$ustate'('cOMBB$u699532858$upname'('hoare$uMirabelle$uMGT','body$u1'),'dom$upname$ucom'(body))),'insert1415133716$ustate'('hAPP$uc1126217667$ustate'('hoare$uMirabelle$uMGT',y),'bot$ubo620288102e$ubool'))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'('image$u2003357581$ustate'('cOMBB$u699532858$upname'('hoare$uMirabelle$uMGT','body$u1'),'dom$upname$ucom'(body))),'insert1415133716$ustate'('hAPP$uc1126217667$ustate'('hoare$uMirabelle$uMGT',y),'bot$ubo620288102e$ubool'))),
inference(negate_conjecture,[status(cth)],[conj_7]) ).
cnf(c12,plain,
( hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'(X2),X1))
| ~ hBOOL('hAPP$uf971112728l$ubool'('hAPP$uf72706945l$ubool'('ord$ule1285840794e$ubool',X0),X2))
| ~ hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'(X0),X1)) ),
inference(clausification,[status(esa)],[fact_3_thin]) ).
cnf(c18,plain,
hBOOL('hAPP$uf971112728l$ubool'('hAPP$uf72706945l$ubool'('ord$ule1285840794e$ubool','bot$ubo620288102e$ubool'),X0)),
inference(clausification,[status(esa)],[fact_33_empty__subsetI]) ).
cnf(c28,plain,
( hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'('bot$ubo620288102e$ubool'),'insert1415133716$ustate'('hAPP$uc1126217667$ustate'('hoare$uMirabelle$uMGT',X0),'bot$ubo620288102e$ubool')))
| ~ hBOOL(wt(X0))
| ~ hBOOL('wT$ubodies')
| ~ hBOOL('hoare$u165779456gleton') ),
inference(clausification,[status(esa)],[fact_103_MGF]) ).
cnf(c178,plain,
( hBOOL(wt(X1))
| 'hAPP$up799580910on$ucom'(body,X0) != 'some$ucom'(X1)
| ~ hBOOL('wT$ubodies') ),
inference(clausification,[status(esa)],[fact_288_WT__bodiesD]) ).
cnf(c210,plain,
hBOOL('hoare$u165779456gleton'),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c211,plain,
hBOOL('wT$ubodies'),
inference(clausification,[status(esa)],[conj_1]) ).
cnf(c214,plain,
'hAPP$up799580910on$ucom'(body,pn) = 'some$ucom'(y),
inference(clausification,[status(esa)],[conj_5]) ).
cnf(c216,plain,
~ hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'('image$u2003357581$ustate'('cOMBB$u699532858$upname'('hoare$uMirabelle$uMGT','body$u1'),'dom$upname$ucom'(body))),'insert1415133716$ustate'('hAPP$uc1126217667$ustate'('hoare$uMirabelle$uMGT',y),'bot$ubo620288102e$ubool'))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'('bot$ubo620288102e$ubool'),X1))
| hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'(X0),X1)) ),
inference(resolution,[status(thm)],[c12,c18]) ).
cnf(d1,plain,
( hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'('bot$ubo620288102e$ubool'),'insert1415133716$ustate'('hAPP$uc1126217667$ustate'('hoare$uMirabelle$uMGT',X0),'bot$ubo620288102e$ubool')))
| ~ hBOOL('wT$ubodies')
| ~ hBOOL(wt(X0)) ),
inference(resolution,[status(thm)],[c210,c28]) ).
cnf(d2,plain,
( hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'('bot$ubo620288102e$ubool'),'insert1415133716$ustate'('hAPP$uc1126217667$ustate'('hoare$uMirabelle$uMGT',X0),'bot$ubo620288102e$ubool')))
| ~ hBOOL(wt(X0)) ),
inference(resolution,[status(thm)],[c211,d1]) ).
cnf(d3,plain,
( hBOOL('hAPP$uf971112728l$ubool'('hoare$u1598289066$ustate'(X1),'insert1415133716$ustate'('hAPP$uc1126217667$ustate'('hoare$uMirabelle$uMGT',X0),'bot$ubo620288102e$ubool')))
| ~ hBOOL(wt(X0)) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
~ hBOOL(wt(y)),
inference(resolution,[status(thm)],[d3,c216]) ).
cnf(d5,plain,
( hBOOL(wt(X1))
| 'hAPP$up799580910on$ucom'(body,X0) != 'some$ucom'(X1) ),
inference(resolution,[status(thm)],[c211,c178]) ).
cnf(d6,plain,
( hBOOL(wt(X0))
| 'some$ucom'(y) != 'some$ucom'(X0) ),
inference(superposition,[status(thm)],[c214,d5]) ).
cnf(d7,plain,
hBOOL(wt(y)),
inference(equality_resolution,[status(thm)],[d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW474+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n004.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 16:02:22 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.75/8.92 % SZS status Theorem for theBenchmark.p
% 57.75/8.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------