%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW474+3 : 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 09:12:00 AM UTC 2026
% Result : Theorem 124.15s 16.26s
% Output : CNFRefutation 124.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 54 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 16 |; 1 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-2 aty)
% Number of variables : 31 ( 8 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_0_empty,axiom,
! [X0] : hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X0),'bot$ubo784226126e$ubool')) ).
fof(fact_4_cut,axiom,
! [X0,X1,X2] :
( hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X1),X2))
=> ( hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X0),X1))
=> hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X0),X2)) ) ) ).
fof(fact_6_derivs__insertD,axiom,
! [X0,X1,X2] :
( hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X0),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate',X1),X2)))
=> ( hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X0),X2))
& hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X0),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate',X1),'bot$ubo784226126e$ubool'))) ) ) ).
fof(fact_66_MGF,axiom,
! [X0] :
( hBOOL('hoare$u1795711768gleton')
=> ( hBOOL('wT$ubodies')
=> ( hBOOL('hAPP$ucom$ubool'(wt,X0))
=> hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'('bot$ubo784226126e$ubool'),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate','hAPP$uc1455475371$ustate'('hoare$uMirabelle$uMGT',X0)),'bot$ubo784226126e$ubool'))) ) ) ) ).
fof(fact_297_WT__bodiesD,axiom,
! [X0,X1] :
( hBOOL('wT$ubodies')
=> ( 'hAPP$up799580910on$ucom'(body,X0) = 'hAPP$ucom$uoption$ucom'('some$ucom',X1)
=> hBOOL('hAPP$ucom$ubool'(wt,X1)) ) ) ).
fof(conj_0,hypothesis,
hBOOL('hoare$u1795711768gleton') ).
fof(conj_1,hypothesis,
hBOOL('wT$ubodies') ).
fof(conj_5,hypothesis,
'hAPP$up799580910on$ucom'(body,pn) = 'hAPP$ucom$uoption$ucom'('some$ucom',y) ).
fof(conj_7,conjecture,
hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'('hAPP$uf360545851e$ubool'('image$u185131637$ustate'('hAPP$uf1377420673$ustate'('cOMBB$u271860050$upname'('hoare$uMirabelle$uMGT'),'body$u1')),'dom$upname$ucom'(body))),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate','hAPP$uc1455475371$ustate'('hoare$uMirabelle$uMGT',y)),'bot$ubo784226126e$ubool'))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'('hAPP$uf360545851e$ubool'('image$u185131637$ustate'('hAPP$uf1377420673$ustate'('cOMBB$u271860050$upname'('hoare$uMirabelle$uMGT'),'body$u1')),'dom$upname$ucom'(body))),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate','hAPP$uc1455475371$ustate'('hoare$uMirabelle$uMGT',y)),'bot$ubo784226126e$ubool'))),
inference(negate_conjecture,[status(cth)],[conj_7]) ).
cnf(c16,plain,
hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X0),'bot$ubo784226126e$ubool')),
inference(clausification,[status(esa)],[fact_0_empty]) ).
cnf(c20,plain,
( hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X2),X1))
| ~ hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X2),X0))
| ~ hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X0),X1)) ),
inference(clausification,[status(esa)],[fact_4_cut]) ).
cnf(c22,plain,
( hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X0),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate',X1),'bot$ubo784226126e$ubool')))
| ~ hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X0),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate',X1),X2))) ),
inference(clausification,[status(esa)],[fact_6_derivs__insertD]) ).
cnf(c38,plain,
( hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'('bot$ubo784226126e$ubool'),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate','hAPP$uc1455475371$ustate'('hoare$uMirabelle$uMGT',X0)),'bot$ubo784226126e$ubool')))
| ~ hBOOL('hAPP$ucom$ubool'(wt,X0))
| ~ hBOOL('wT$ubodies')
| ~ hBOOL('hoare$u1795711768gleton') ),
inference(clausification,[status(esa)],[fact_66_MGF]) ).
cnf(c270,plain,
( hBOOL('hAPP$ucom$ubool'(wt,X1))
| 'hAPP$up799580910on$ucom'(body,X0) != 'hAPP$ucom$uoption$ucom'('some$ucom',X1)
| ~ hBOOL('wT$ubodies') ),
inference(clausification,[status(esa)],[fact_297_WT__bodiesD]) ).
cnf(c1156,plain,
hBOOL('hoare$u1795711768gleton'),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c1157,plain,
hBOOL('wT$ubodies'),
inference(clausification,[status(esa)],[conj_1]) ).
cnf(c1161,plain,
'hAPP$up799580910on$ucom'(body,pn) = 'hAPP$ucom$uoption$ucom'('some$ucom',y),
inference(clausification,[status(esa)],[conj_5]) ).
cnf(c1163,plain,
~ hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'('hAPP$uf360545851e$ubool'('image$u185131637$ustate'('hAPP$uf1377420673$ustate'('cOMBB$u271860050$upname'('hoare$uMirabelle$uMGT'),'body$u1')),'dom$upname$ucom'(body))),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate','hAPP$uc1455475371$ustate'('hoare$uMirabelle$uMGT',y)),'bot$ubo784226126e$ubool'))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( hBOOL('hAPP$ucom$ubool'(wt,X1))
| 'hAPP$up799580910on$ucom'(body,X0) != 'hAPP$ucom$uoption$ucom'('some$ucom',X1) ),
inference(resolution,[status(thm)],[c1157,c270]) ).
cnf(d1,plain,
( hBOOL('hAPP$ucom$ubool'(wt,y))
| 'hAPP$up799580910on$ucom'(body,X0) != 'hAPP$up799580910on$ucom'(body,pn) ),
inference(superposition,[status(thm)],[c1161,d0]) ).
cnf(d2,plain,
( hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'('bot$ubo784226126e$ubool'),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate','hAPP$uc1455475371$ustate'('hoare$uMirabelle$uMGT',X0)),'bot$ubo784226126e$ubool')))
| ~ hBOOL('hAPP$ucom$ubool'(wt,X0))
| ~ hBOOL('wT$ubodies') ),
inference(resolution,[status(thm)],[c1156,c38]) ).
cnf(d3,plain,
( hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'('bot$ubo784226126e$ubool'),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate','hAPP$uc1455475371$ustate'('hoare$uMirabelle$uMGT',X0)),'bot$ubo784226126e$ubool')))
| ~ hBOOL('hAPP$ucom$ubool'(wt,X0)) ),
inference(resolution,[status(thm)],[c1157,d2]) ).
cnf(d4,plain,
( hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'('bot$ubo784226126e$ubool'),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate','hAPP$uc1455475371$ustate'('hoare$uMirabelle$uMGT',X0)),'bot$ubo784226126e$ubool')))
| ~ hBOOL('hAPP$ucom$ubool'(wt,X0)) ),
inference(resolution,[status(thm)],[d3,c22]) ).
cnf(d5,plain,
( hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X1),X0))
| ~ hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'('bot$ubo784226126e$ubool'),X0)) ),
inference(resolution,[status(thm)],[c20,c16]) ).
cnf(d6,plain,
( ~ hBOOL('hAPP$ucom$ubool'(wt,X1))
| hBOOL('hAPP$uf1378282496l$ubool'('hoare$u512830354$ustate'(X0),'hAPP$uf806699093e$ubool'('hAPP$uH1902130436e$ubool'('insert1744391420$ustate','hAPP$uc1455475371$ustate'('hoare$uMirabelle$uMGT',X1)),'bot$ubo784226126e$ubool'))) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
~ hBOOL('hAPP$ucom$ubool'(wt,y)),
inference(resolution,[status(thm)],[d6,c1163]) ).
cnf(d8,plain,
'hAPP$up799580910on$ucom'(body,X0) != 'hAPP$up799580910on$ucom'(body,pn),
inference(resolution,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW474+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n004.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 16:02:37 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 124.15/16.26 % SZS status Theorem for theBenchmark.p
% 124.15/16.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------