%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW474+2 : 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 : n011.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 42.32s 10.77s
% Output : CNFRefutation 42.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 20 unt; 0 def)
% Number of atoms : 57 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 12 con; 0-2 aty)
% Number of variables : 30 ( 4 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_0_empty,axiom,
! [X0] : hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X0),'bot$ubo1055319631e$ubool')) ).
fof(fact_4_cut,axiom,
! [X0,X1,X2] :
( hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X1),X2))
=> ( hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X0),X1))
=> hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X0),X2)) ) ) ).
fof(fact_53_MGF,axiom,
! [X0] :
( hBOOL('hoare$u298929751gleton')
=> ( hBOOL('wT$ubodies')
=> ( hBOOL('hAPP$ucom$ubool'(wt,X0))
=> hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'('bot$ubo1055319631e$ubool'),'hAPP$uf921536533e$ubool'('hAPP$uH727730819e$ubool'('insert1835143293$ustate','hAPP$uc1546227244$ustate'('hoare$uMirabelle$uMGT',X0)),'bot$ubo1055319631e$ubool'))) ) ) ) ).
fof(fact_177_Collect__def,axiom,
! [X0] : 'hAPP$uf921536533e$ubool'('collec727977250$ustate',X0) = X0 ).
fof(fact_213_singleton__conv2,axiom,
! [X0] : 'hAPP$uf921536533e$ubool'('collec727977250$ustate','hAPP$uH1645666623e$ubool'('fequal1531560888$ustate',X0)) = 'hAPP$uf921536533e$ubool'('hAPP$uH727730819e$ubool'('insert1835143293$ustate',X0),'bot$ubo1055319631e$ubool') ).
fof(fact_215_WT__bodiesD,axiom,
! [X0,X1] :
( hBOOL('wT$ubodies')
=> ( 'hAPP$up799580910on$ucom'(body,X0) = 'some$ucom'(X1)
=> hBOOL('hAPP$ucom$ubool'(wt,X1)) ) ) ).
fof(conj_0,hypothesis,
hBOOL('hoare$u298929751gleton') ).
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$uf1760790145l$ubool'('hoare$u659004819$ustate'('hAPP$uf631639356e$ubool'('image$u275883510$ustate'('hAPP$uf1758910594$ustate'('cOMBB$u422605457$upname'('hoare$uMirabelle$uMGT'),'body$u1')),'dom$upname$ucom'(body))),'hAPP$uf921536533e$ubool'('hAPP$uH727730819e$ubool'('insert1835143293$ustate','hAPP$uc1546227244$ustate'('hoare$uMirabelle$uMGT',y)),'bot$ubo1055319631e$ubool'))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'('hAPP$uf631639356e$ubool'('image$u275883510$ustate'('hAPP$uf1758910594$ustate'('cOMBB$u422605457$upname'('hoare$uMirabelle$uMGT'),'body$u1')),'dom$upname$ucom'(body))),'hAPP$uf921536533e$ubool'('hAPP$uH727730819e$ubool'('insert1835143293$ustate','hAPP$uc1546227244$ustate'('hoare$uMirabelle$uMGT',y)),'bot$ubo1055319631e$ubool'))),
inference(negate_conjecture,[status(cth)],[conj_7]) ).
cnf(c54,plain,
hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X0),'bot$ubo1055319631e$ubool')),
inference(clausification,[status(esa)],[fact_0_empty]) ).
cnf(c58,plain,
( hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X2),X1))
| ~ hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X2),X0))
| ~ hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X0),X1)) ),
inference(clausification,[status(esa)],[fact_4_cut]) ).
cnf(c114,plain,
( hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'('bot$ubo1055319631e$ubool'),'hAPP$uf921536533e$ubool'('hAPP$uH727730819e$ubool'('insert1835143293$ustate','hAPP$uc1546227244$ustate'('hoare$uMirabelle$uMGT',X0)),'bot$ubo1055319631e$ubool')))
| ~ hBOOL('hAPP$ucom$ubool'(wt,X0))
| ~ hBOOL('wT$ubodies')
| ~ hBOOL('hoare$u298929751gleton') ),
inference(clausification,[status(esa)],[fact_53_MGF]) ).
cnf(c313,plain,
'hAPP$uf921536533e$ubool'('collec727977250$ustate',X0) = X0,
inference(clausification,[status(esa)],[fact_177_Collect__def]) ).
cnf(c368,plain,
'hAPP$uf921536533e$ubool'('collec727977250$ustate','hAPP$uH1645666623e$ubool'('fequal1531560888$ustate',X0)) = 'hAPP$uf921536533e$ubool'('hAPP$uH727730819e$ubool'('insert1835143293$ustate',X0),'bot$ubo1055319631e$ubool'),
inference(clausification,[status(esa)],[fact_213_singleton__conv2]) ).
cnf(c372,plain,
( hBOOL('hAPP$ucom$ubool'(wt,X1))
| 'hAPP$up799580910on$ucom'(body,X0) != 'some$ucom'(X1)
| ~ hBOOL('wT$ubodies') ),
inference(clausification,[status(esa)],[fact_215_WT__bodiesD]) ).
cnf(c1313,plain,
hBOOL('hoare$u298929751gleton'),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c1314,plain,
hBOOL('wT$ubodies'),
inference(clausification,[status(esa)],[conj_1]) ).
cnf(c1318,plain,
'hAPP$up799580910on$ucom'(body,pn) = 'some$ucom'(y),
inference(clausification,[status(esa)],[conj_5]) ).
cnf(c1320,plain,
~ hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'('hAPP$uf631639356e$ubool'('image$u275883510$ustate'('hAPP$uf1758910594$ustate'('cOMBB$u422605457$upname'('hoare$uMirabelle$uMGT'),'body$u1')),'dom$upname$ucom'(body))),'hAPP$uf921536533e$ubool'('hAPP$uH727730819e$ubool'('insert1835143293$ustate','hAPP$uc1546227244$ustate'('hoare$uMirabelle$uMGT',y)),'bot$ubo1055319631e$ubool'))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'hAPP$uH1645666623e$ubool'('fequal1531560888$ustate',X0) = 'hAPP$uf921536533e$ubool'('hAPP$uH727730819e$ubool'('insert1835143293$ustate',X0),'bot$ubo1055319631e$ubool'),
inference(demodulation,[status(thm)],[c368,c313]) ).
cnf(d1,plain,
~ hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'('hAPP$uf631639356e$ubool'('image$u275883510$ustate'('hAPP$uf1758910594$ustate'('cOMBB$u422605457$upname'('hoare$uMirabelle$uMGT'),'body$u1')),'dom$upname$ucom'(body))),'hAPP$uH1645666623e$ubool'('fequal1531560888$ustate','hAPP$uc1546227244$ustate'('hoare$uMirabelle$uMGT',y)))),
inference(demodulation,[status(thm)],[c1320,d0]) ).
cnf(d2,plain,
( hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'('bot$ubo1055319631e$ubool'),'hAPP$uf921536533e$ubool'('hAPP$uH727730819e$ubool'('insert1835143293$ustate','hAPP$uc1546227244$ustate'('hoare$uMirabelle$uMGT',X0)),'bot$ubo1055319631e$ubool')))
| ~ hBOOL('hAPP$ucom$ubool'(wt,X0))
| ~ hBOOL('wT$ubodies') ),
inference(resolution,[status(thm)],[c1313,c114]) ).
cnf(d3,plain,
( hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'('bot$ubo1055319631e$ubool'),'hAPP$uf921536533e$ubool'('hAPP$uH727730819e$ubool'('insert1835143293$ustate','hAPP$uc1546227244$ustate'('hoare$uMirabelle$uMGT',X0)),'bot$ubo1055319631e$ubool')))
| ~ hBOOL('hAPP$ucom$ubool'(wt,X0)) ),
inference(resolution,[status(thm)],[c1314,d2]) ).
cnf(d4,plain,
( ~ hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X1),'bot$ubo1055319631e$ubool'))
| hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X1),'hAPP$uf921536533e$ubool'('hAPP$uH727730819e$ubool'('insert1835143293$ustate','hAPP$uc1546227244$ustate'('hoare$uMirabelle$uMGT',X0)),'bot$ubo1055319631e$ubool')))
| ~ hBOOL('hAPP$ucom$ubool'(wt,X0)) ),
inference(resolution,[status(thm)],[d3,c58]) ).
cnf(d5,plain,
( hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X1),'hAPP$uH1645666623e$ubool'('fequal1531560888$ustate','hAPP$uc1546227244$ustate'('hoare$uMirabelle$uMGT',X0))))
| ~ hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X1),'bot$ubo1055319631e$ubool'))
| ~ hBOOL('hAPP$ucom$ubool'(wt,X0)) ),
inference(demodulation,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( hBOOL('hAPP$uf1760790145l$ubool'('hoare$u659004819$ustate'(X1),'hAPP$uH1645666623e$ubool'('fequal1531560888$ustate','hAPP$uc1546227244$ustate'('hoare$uMirabelle$uMGT',X0))))
| ~ hBOOL('hAPP$ucom$ubool'(wt,X0)) ),
inference(resolution,[status(thm)],[c54,d5]) ).
cnf(d7,plain,
~ hBOOL('hAPP$ucom$ubool'(wt,y)),
inference(resolution,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
( hBOOL('hAPP$ucom$ubool'(wt,X1))
| 'hAPP$up799580910on$ucom'(body,X0) != 'some$ucom'(X1) ),
inference(resolution,[status(thm)],[c1314,c372]) ).
cnf(d9,plain,
( hBOOL('hAPP$ucom$ubool'(wt,X0))
| 'some$ucom'(y) != 'some$ucom'(X0) ),
inference(superposition,[status(thm)],[c1318,d8]) ).
cnf(d10,plain,
hBOOL('hAPP$ucom$ubool'(wt,y)),
inference(equality_resolution,[status(thm)],[d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW474+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n011.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sat Sep 26 16:02:34 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.32/10.77 % SZS status Theorem for theBenchmark.p
% 42.32/10.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------