%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW474+6 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 : Tue Sep 29 01:30:32 PM UTC 2026
% Result : Theorem 6.82s 1.89s
% Output : Refutation 8.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 21 unt; 2 def)
% Number of atoms : 95 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 91 ( 45 ~; 37 |; 0 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 12 con; 0-4 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,axiom,
! [X0,X1] : hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),bot_bot(fun(hoare_1656922687triple(X0),bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).
fof(f70,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3))
=> ( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X2))
=> hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).
fof(f85,axiom,
! [X0] :
( hBOOL(hoare_1924220188gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP(com,bool,wt,X0))
=> hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool))))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_MGF) ).
fof(f158,axiom,
! [X0,X1] :
( hBOOL(wT_bodies)
=> ( hAPP(pname,option(com),body,X0) = hAPP(com,option(com),some(com),X1)
=> hBOOL(hAPP(com,bool,wt,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_WT__bodiesD) ).
fof(f255,axiom,
! [X0,X1] : hAPP(option(X0),fun(X0,bool),set(X0),hAPP(X0,option(X0),some(X0),X1)) = hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_Option_Oset_Osimps_I2_J) ).
fof(f615,axiom,
hBOOL(hoare_1924220188gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f616,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f620,axiom,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(f622,conjecture,
hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).
fof(f623,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
inference(negated_conjecture,[status(cth)],[f622]) ).
fof(f627,plain,
~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
inference(flattening,[],[f623]) ).
fof(f638,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X2))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3)) ),
inference(ennf_transformation,[],[f70]) ).
fof(f639,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X2))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3)) ),
inference(flattening,[],[f638]) ).
fof(f655,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1924220188gleton) ),
inference(ennf_transformation,[],[f85]) ).
fof(f656,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1924220188gleton) ),
inference(flattening,[],[f655]) ).
fof(f704,plain,
! [X0,X1] :
( hBOOL(hAPP(com,bool,wt,X1))
| hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f158]) ).
fof(f705,plain,
! [X0,X1] :
( hBOOL(hAPP(com,bool,wt,X1))
| hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f704]) ).
fof(f1339,plain,
! [X0,X1] : hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),bot_bot(fun(hoare_1656922687triple(X0),bool)))),
inference(cnf_transformation,[],[f66]) ).
fof(f1343,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X2))
| hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3)) ),
inference(cnf_transformation,[],[f639]) ).
fof(f1361,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1924220188gleton) ),
inference(cnf_transformation,[],[f656]) ).
fof(f1470,plain,
! [X0,X1] :
( hBOOL(hAPP(com,bool,wt,X1))
| hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
| ~ hBOOL(wT_bodies) ),
inference(cnf_transformation,[],[f705]) ).
fof(f1628,plain,
! [X0,X1] : hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool))) = hAPP(option(X0),fun(X0,bool),set(X0),hAPP(X0,option(X0),some(X0),X1)),
inference(cnf_transformation,[],[f255]) ).
fof(f2096,plain,
hBOOL(hoare_1924220188gleton),
inference(cnf_transformation,[],[f615]) ).
fof(f2097,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f616]) ).
fof(f2101,plain,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
inference(cnf_transformation,[],[f620]) ).
fof(f2103,plain,
~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
inference(cnf_transformation,[],[f627]) ).
fof(f2565,plain,
! [X0,X1] :
( hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
| hBOOL(hAPP(com,bool,wt,X1)) ),
inference(forward_subsumption_resolution,[],[f1470,f2097]) ).
fof(f2626,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(hoare_1924220188gleton) ),
inference(forward_subsumption_resolution,[],[f1361,f2097]) ).
fof(f2836,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0)) ),
inference(forward_subsumption_resolution,[],[f2626,f2096]) ).
fof(f2897,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)))))
| ~ hBOOL(hAPP(com,bool,wt,X0)) ),
inference(forward_demodulation,[],[f2836,f1628]) ).
fof(f2946,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),X0),bot_bot(fun(hoare_1656922687triple(state),bool))))
| hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),X0),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X1)))))
| ~ hBOOL(hAPP(com,bool,wt,X1)) ),
inference(resolution,[],[f1343,f2897]) ).
fof(f2947,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(com,bool,wt,X1))
| hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),X0),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X1))))) ),
inference(forward_subsumption_resolution,[],[f2946,f1339]) ).
fof(f2950,plain,
! [X0] :
( hAPP(pname,option(com),body,X0) != hAPP(pname,option(com),body,pn)
| hBOOL(hAPP(com,bool,wt,y)) ),
inference(superposition,[],[f2565,f2101]) ).
fof(f2952,definition,
( spl103_1
<=> hBOOL(hAPP(com,bool,wt,y)) ),
introduced(definition,[new_symbols(definition,[spl103_1])],[avatar_definition]) ).
fof(f2953,plain,
( hBOOL(hAPP(com,bool,wt,y))
| ~ spl103_1 ),
inference(avatar_component_clause,[],[f2952]) ).
fof(f2955,definition,
( spl103_2
<=> ! [X0] : hAPP(pname,option(com),body,X0) != hAPP(pname,option(com),body,pn) ),
introduced(definition,[new_symbols(definition,[spl103_2])],[avatar_definition]) ).
fof(f2956,plain,
( ! [X0] : hAPP(pname,option(com),body,X0) != hAPP(pname,option(com),body,pn)
| ~ spl103_2 ),
inference(avatar_component_clause,[],[f2955]) ).
fof(f2957,plain,
( spl103_1
| spl103_2 ),
inference(avatar_split_clause,[],[f2950,f2955,f2952]) ).
fof(f2958,plain,
( $false
| ~ spl103_2 ),
inference(equality_resolution,[],[f2956]) ).
fof(f2959,plain,
~ spl103_2,
inference(avatar_contradiction_clause,[],[f2958]) ).
fof(f2966,plain,
( ! [X0] : hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),X0),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)))))
| ~ spl103_1 ),
inference(resolution,[],[f2953,f2947]) ).
fof(f2980,plain,
~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y))))),
inference(superposition,[],[f2103,f1628]) ).
fof(f2981,plain,
( $false
| ~ spl103_1 ),
inference(forward_subsumption_resolution,[],[f2980,f2966]) ).
fof(f2982,plain,
~ spl103_1,
inference(avatar_contradiction_clause,[],[f2981]) ).
cnf(s1,plain,
( spl103_1
| spl103_2 ),
inference(sat_conversion,[],[f2957]) ).
cnf(s2,plain,
~ spl103_2,
inference(sat_conversion,[],[f2959]) ).
cnf(s5,plain,
~ spl103_1,
inference(sat_conversion,[],[f2982]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s2,s5]) ).
fof(f2983,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW474+6 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n002.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 14:09:52 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running first-order theorem proving
% 0.09/0.19 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.82/1.89 % (366877)Detected formulas, will run a generic FOF schedule.
% 6.82/1.89 % (366883)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4249109743:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.82/1.89 % (366882)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3849816591:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.82/1.89 % (366884)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1353992872:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.82/1.89 % (366885)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1481950897:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.82/1.89 % (366887)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3360150033:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.82/1.89 % (366886)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2854119929:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.82/1.89 % (366888)dis-21_1_sil=8000:lcm=predicate:random_seed=3341376433:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.82/1.89 % (366885)Instruction limit reached!
% 6.82/1.89 % (366885)------------------------------
% 6.82/1.89 % (366885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.89 % (366885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.89 % (366885)CaDiCaL version: 2.1.3
% 6.82/1.89 % (366885)Termination reason: Instruction limit
% 6.82/1.89 % (366885)Termination phase: Saturation
% 6.82/1.89 % (366885)Time elapsed: 0.055 s
% 6.82/1.89 % (366885)Peak memory usage: 90 MB
% 6.82/1.89 % (366885)Instructions burned: 109 (million)
% 6.82/1.89 % (366888)Instruction limit reached!
% 6.82/1.89 % (366888)------------------------------
% 6.82/1.89 % (366888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.89 % (366888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.89 % (366888)CaDiCaL version: 2.1.3
% 6.82/1.89 % (366888)Termination reason: Instruction limit
% 6.82/1.89 % (366888)Termination phase: Property scanning
% 6.82/1.89 % (366888)Time elapsed: 0.049 s
% 6.82/1.89 % (366888)Peak memory usage: 86 MB
% 6.82/1.89 % (366888)Instructions burned: 131 (million)
% 6.82/1.89 % (366886)Instruction limit reached!
% 6.82/1.89 % (366886)------------------------------
% 6.82/1.89 % (366886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.89 % (366886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.89 % (366886)CaDiCaL version: 2.1.3
% 6.82/1.89 % (366886)Termination reason: Instruction limit
% 6.82/1.89 % (366886)Termination phase: Saturation
% 6.82/1.89 % (366886)Time elapsed: 0.054 s
% 6.82/1.89 % (366886)Peak memory usage: 89 MB
% 6.82/1.89 % (366886)Instructions burned: 119 (million)
% 6.82/1.89 % (366887)Instruction limit reached!
% 6.82/1.89 % (366887)------------------------------
% 6.82/1.89 % (366887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.89 % (366887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.89 % (366887)CaDiCaL version: 2.1.3
% 6.82/1.89 % (366887)Termination reason: Instruction limit
% 6.82/1.89 % (366887)Termination phase: Property scanning
% 6.82/1.89 % (366887)Time elapsed: 0.054 s
% 6.82/1.89 % (366887)Peak memory usage: 87 MB
% 6.82/1.89 % (366887)Instructions burned: 141 (million)
% 6.82/1.89 % (366896)lrs+10_1_sil=8000:sp=occurrence:random_seed=425739921:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 6.82/1.89 % (366897)lrs+10_1_sil=32000:urr=on:br=off:random_seed=891786629:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 6.82/1.89 % (366899)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=742834519:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.82/1.89 % (366898)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2171103623:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.82/1.89 % (366897)Instruction limit reached!
% 6.82/1.89 % (366897)------------------------------
% 6.82/1.89 % (366897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.89 % (366897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.89 % (366897)CaDiCaL version: 2.1.3
% 6.82/1.89 % (366897)Termination reason: Instruction limit
% 6.82/1.89 % (366897)Termination phase: Saturation
% 6.82/1.89 % (366897)Time elapsed: 0.085 s
% 6.82/1.89 % (366897)Peak memory usage: 90 MB
% 6.82/1.89 % (366897)Instructions burned: 157 (million)
% 6.82/1.89 % (366896)Instruction limit reached!
% 6.82/1.89 % (366896)------------------------------
% 6.82/1.89 % (366896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.89 % (366896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.89 % (366896)CaDiCaL version: 2.1.3
% 6.82/1.89 % (366896)Termination reason: Instruction limit
% 6.82/1.89 % (366896)Termination phase: Saturation
% 6.82/1.89 % (366896)Time elapsed: 0.147 s
% 6.82/1.89 % (366896)Peak memory usage: 91 MB
% 6.82/1.89 % (366896)Instructions burned: 285 (million)
% 6.82/1.89 % (366899)Instruction limit reached!
% 6.82/1.89 % (366899)------------------------------
% 6.82/1.89 % (366899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.89 % (366899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.89 % (366899)CaDiCaL version: 2.1.3
% 6.82/1.89 % (366899)Termination reason: Instruction limit
% 6.82/1.89 % (366899)Termination phase: Saturation
% 6.82/1.89 % (366899)Time elapsed: 0.121 s
% 6.82/1.89 % (366899)Peak memory usage: 90 MB
% 6.82/1.89 % (366899)Instructions burned: 249 (million)
% 6.82/1.89 % (366898)Instruction limit reached!
% 6.82/1.89 % (366898)------------------------------
% 6.82/1.89 % (366898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.89 % (366898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.89 % (366898)CaDiCaL version: 2.1.3
% 6.82/1.89 % (366898)Termination reason: Instruction limit
% 6.82/1.89 % (366898)Termination phase: Saturation
% 6.82/1.89 % (366898)Time elapsed: 0.189 s
% 6.82/1.89 % (366898)Peak memory usage: 91 MB
% 6.82/1.89 % (366898)Instructions burned: 326 (million)
% 6.82/1.89 % (366904)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1320367848:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.82/1.89 % (366906)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=631027475:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.82/1.89 % (366905)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3552258996:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.82/1.89 % (366906)Instruction limit reached!
% 6.82/1.89 % (366906)------------------------------
% 6.82/1.89 % (366906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.89 % (366906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.89 % (366906)CaDiCaL version: 2.1.3
% 6.82/1.89 % (366906)Termination reason: Instruction limit
% 6.82/1.89 % (366906)Termination phase: Property scanning
% 6.82/1.89 % (366906)Time elapsed: 0.045 s
% 6.82/1.89 % (366906)Peak memory usage: 87 MB
% 6.82/1.89 % (366906)Instructions burned: 113 (million)
% 6.82/1.89 % (366907)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3286608252:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.82/1.89 % (366904)Instruction limit reached!
% 6.82/1.89 % (366904)------------------------------
% 6.82/1.89 % (366904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.89 % (366904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.89 % (366904)CaDiCaL version: 2.1.3
% 6.82/1.89 % (366904)Termination reason: Instruction limit
% 6.82/1.89 % (366904)Termination phase: Saturation
% 6.82/1.89 % (366904)Time elapsed: 0.120 s
% 6.82/1.89 % (366904)Peak memory usage: 90 MB
% 6.82/1.89 % (366904)Instructions burned: 294 (million)
% 6.82/1.89 % (366907)Instruction limit reached!
% 6.82/1.89 % (366907)------------------------------
% 6.82/1.89 % (366907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.89 % (366907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.89 % (366907)CaDiCaL version: 2.1.3
% 6.82/1.89 % (366907)Termination reason: Instruction limit
% 6.82/1.89 % (366907)Termination phase: Property scanning
% 6.82/1.89 % (366907)Time elapsed: 0.049 s
% 6.82/1.89 % (366907)Peak memory usage: 87 MB
% 6.82/1.89 % (366907)Instructions burned: 129 (million)
% 6.82/1.89 % (366911)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=974606069:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.82/1.89 % (366883)First to succeed.
% 6.82/1.89 % (366883)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-366877"
% 6.82/1.89 % (366913)lrs+10_1_sil=8000:sp=occurrence:random_seed=1634717878:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.82/1.89 % (366911)Instruction limit reached!
% 6.82/1.89 % (366911)------------------------------
% 6.82/1.89 % (366911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.89 % (366911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.89 % (366911)CaDiCaL version: 2.1.3
% 6.82/1.89 % (366911)Termination reason: Instruction limit
% 6.82/1.89 % (366911)Termination phase: Saturation
% 6.82/1.89 % (366911)Time elapsed: 0.047 s
% 6.82/1.89 % (366911)Peak memory usage: 89 MB
% 6.82/1.89 % (366911)Instructions burned: 115 (million)
% 6.82/1.89 % (366914)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2137932579:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.82/1.89 % (366917)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2958311817:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 6.82/1.89 % (366883)Refutation found. Thanks to Tanya!
% 6.82/1.89 % SZS status Theorem for theBenchmark
% 6.82/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 8.94/2.09 % (366883)------------------------------
% 8.94/2.09 % (366883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.94/2.09 % (366883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.94/2.09 % (366883)CaDiCaL version: 2.1.3
% 8.94/2.09 % (366883)Termination reason: Refutation
% 8.94/2.09 % (366883)Time elapsed: 0.774 s
% 8.94/2.09 % (366883)Peak memory usage: 152 MB
% 8.94/2.09 % (366883)Instructions burned: 1778 (million)
% 8.94/2.09 % (366883)------------------------------
% 8.94/2.09 % (366883)------------------------------
% 8.94/2.09 % (366877)Success in time 1.257 s
% 8.94/2.09 % Vampire exiting
%------------------------------------------------------------------------------