%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW474+5 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 0.67s 1.00s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 92 ( 28 unt; 8 def)
% Number of atoms : 196 ( 23 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 195 ( 91 ~; 80 |; 6 &)
% ( 10 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 12 con; 0-4 aty)
% Number of variables : 103 ( 0 sgn 99 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] : hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),bot_bot(fun(hoare_509422987triple(X0),bool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
fof(f39,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),ord_less_eq(fun(hoare_509422987triple(X0),bool)),X1),X2))
=> hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_asm) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3))
=> ( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X2))
=> hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
fof(f57,axiom,
! [X0] :
( hBOOL(hoare_1883395792gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP(com,bool,wt,X0))
=> hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool))))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_MGF) ).
fof(f65,axiom,
! [X0,X1] :
( hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) = bot_bot(fun(X0,bool))
<=> ! [X2] : ~ hBOOL(hAPP(X0,bool,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_Collect__empty__eq) ).
fof(f67,axiom,
! [X0,X1] :
( bot_bot(fun(X0,bool)) = hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1)
<=> ! [X2] : ~ hBOOL(hAPP(X0,bool,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_empty__Collect__eq) ).
fof(f91,axiom,
! [X0,X1] : hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),X1),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_subset__refl) ).
fof(f130,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/sandbox2/benchmark/theBenchmark.p',fact_92_WT__bodiesD) ).
fof(f162,axiom,
hBOOL(hoare_1883395792gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f163,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f167,axiom,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
fof(f169,conjecture,
hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
fof(f170,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
inference(negated_conjecture,[status(cth)],[f169]) ).
fof(f171,plain,
~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X1))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),ord_less_eq(fun(hoare_509422987triple(X0),bool)),X1),X2)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X2))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X2))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)) ),
inference(flattening,[],[f177]) ).
fof(f194,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1883395792gleton) ),
inference(ennf_transformation,[],[f57]) ).
fof(f195,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1883395792gleton) ),
inference(flattening,[],[f194]) ).
fof(f243,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,[],[f130]) ).
fof(f244,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,[],[f243]) ).
fof(f256,plain,
! [X0,X1] :
( ( hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) = bot_bot(fun(X0,bool))
| ? [X2] : hBOOL(hAPP(X0,bool,X1,X2)) )
& ( ! [X2] : ~ hBOOL(hAPP(X0,bool,X1,X2))
| bot_bot(fun(X0,bool)) != hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f257,plain,
! [X0,X1] :
( ( hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) = bot_bot(fun(X0,bool))
| ? [X2] : hBOOL(hAPP(X0,bool,X1,X2)) )
& ( ! [X3] : ~ hBOOL(hAPP(X0,bool,X1,X3))
| bot_bot(fun(X0,bool)) != hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) ) ),
inference(rectify,[],[f256]) ).
fof(f258,plain,
! [X0,X1] :
( ( hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) = bot_bot(fun(X0,bool))
| hBOOL(hAPP(X0,bool,X1,sK0(X0,X1))) )
& ( ! [X3] : ~ hBOOL(hAPP(X0,bool,X1,X3))
| bot_bot(fun(X0,bool)) != hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f257]) ).
fof(f259,plain,
! [X0,X1] :
( ( bot_bot(fun(X0,bool)) = hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1)
| ? [X2] : hBOOL(hAPP(X0,bool,X1,X2)) )
& ( ! [X2] : ~ hBOOL(hAPP(X0,bool,X1,X2))
| bot_bot(fun(X0,bool)) != hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f260,plain,
! [X0,X1] :
( ( bot_bot(fun(X0,bool)) = hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1)
| ? [X2] : hBOOL(hAPP(X0,bool,X1,X2)) )
& ( ! [X3] : ~ hBOOL(hAPP(X0,bool,X1,X3))
| bot_bot(fun(X0,bool)) != hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) ) ),
inference(rectify,[],[f259]) ).
fof(f261,plain,
! [X0,X1] :
( ( bot_bot(fun(X0,bool)) = hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1)
| hBOOL(hAPP(X0,bool,X1,sK1(X0,X1))) )
& ( ! [X3] : ~ hBOOL(hAPP(X0,bool,X1,X3))
| bot_bot(fun(X0,bool)) != hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f260]) ).
fof(f340,plain,
! [X0,X1] : hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),bot_bot(fun(hoare_509422987triple(X0),bool)))),
inference(cnf_transformation,[],[f38]) ).
fof(f341,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),ord_less_eq(fun(hoare_509422987triple(X0),bool)),X1),X2))
| hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X1)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f344,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X2))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f362,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1883395792gleton) ),
inference(cnf_transformation,[],[f195]) ).
fof(f371,plain,
! [X3,X0,X1] :
( ~ hBOOL(hAPP(X0,bool,X1,X3))
| bot_bot(fun(X0,bool)) != hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) ),
inference(cnf_transformation,[],[f258]) ).
fof(f375,plain,
! [X0,X1] :
( bot_bot(fun(X0,bool)) = hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1)
| hBOOL(hAPP(X0,bool,X1,sK1(X0,X1))) ),
inference(cnf_transformation,[],[f261]) ).
fof(f409,plain,
! [X0,X1] : hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),X1),X1)),
inference(cnf_transformation,[],[f91]) ).
fof(f471,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,[],[f244]) ).
fof(f512,plain,
hBOOL(hoare_1883395792gleton),
inference(cnf_transformation,[],[f162]) ).
fof(f513,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f163]) ).
fof(f517,plain,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
inference(cnf_transformation,[],[f167]) ).
fof(f519,plain,
~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
inference(cnf_transformation,[],[f171]) ).
fof(f617,definition,
! [X0,X1] :
( sQ14_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ14_eqProxy])],[equality_proxy_definition]) ).
fof(f665,plain,
! [X3,X0,X1] :
( ~ sQ14_eqProxy(bot_bot(fun(X0,bool)),hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1))
| ~ hBOOL(hAPP(X0,bool,X1,X3)) ),
inference(equality_proxy_replacement,[],[f371,f617]) ).
fof(f666,plain,
! [X0,X1] :
( sQ14_eqProxy(bot_bot(fun(X0,bool)),hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1))
| hBOOL(hAPP(X0,bool,X1,sK1(X0,X1))) ),
inference(equality_proxy_replacement,[],[f375,f617]) ).
fof(f729,plain,
! [X0,X1] :
( hBOOL(hAPP(com,bool,wt,X1))
| ~ sQ14_eqProxy(hAPP(pname,option(com),body,X0),hAPP(com,option(com),some(com),X1))
| ~ hBOOL(wT_bodies) ),
inference(equality_proxy_replacement,[],[f471,f617]) ).
fof(f743,plain,
sQ14_eqProxy(hAPP(pname,option(com),body,pn),hAPP(com,option(com),some(com),y)),
inference(equality_proxy_replacement,[],[f517,f617]) ).
fof(f747,definition,
( spl15_1
<=> hBOOL(wT_bodies) ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f748,plain,
( ~ hBOOL(wT_bodies)
| spl15_1 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f750,definition,
( spl15_2
<=> ! [X0,X1] :
( hBOOL(hAPP(com,bool,wt,X1))
| ~ sQ14_eqProxy(hAPP(pname,option(com),body,X0),hAPP(com,option(com),some(com),X1)) ) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f751,plain,
( ! [X0,X1] :
( ~ sQ14_eqProxy(hAPP(pname,option(com),body,X0),hAPP(com,option(com),some(com),X1))
| hBOOL(hAPP(com,bool,wt,X1)) )
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f752,plain,
( ~ spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f729,f750,f747]) ).
fof(f754,definition,
( spl15_3
<=> hBOOL(hoare_1883395792gleton) ),
introduced(definition,[new_symbols(definition,[spl15_3])],[avatar_definition]) ).
fof(f755,plain,
( ~ hBOOL(hoare_1883395792gleton)
| spl15_3 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f765,definition,
( spl15_6
<=> ! [X0] :
( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).
fof(f766,plain,
( ! [X0] :
( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0)) )
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f767,plain,
( ~ spl15_3
| ~ spl15_1
| spl15_6 ),
inference(avatar_split_clause,[],[f362,f765,f747,f754]) ).
fof(f768,plain,
( $false
| spl15_3 ),
inference(resolution,[],[f755,f512]) ).
fof(f769,plain,
spl15_3,
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f770,plain,
( $false
| spl15_1 ),
inference(resolution,[],[f513,f748]) ).
fof(f771,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f770]) ).
fof(f782,definition,
( spl15_7
<=> hBOOL(hAPP(com,bool,wt,y)) ),
introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition]) ).
fof(f783,plain,
( ~ hBOOL(hAPP(com,bool,wt,y))
| spl15_7 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f795,plain,
( hBOOL(hAPP(com,bool,wt,y))
| ~ spl15_2 ),
inference(resolution,[],[f743,f751]) ).
fof(f796,plain,
( $false
| ~ spl15_2
| spl15_7 ),
inference(resolution,[],[f795,f783]) ).
fof(f797,plain,
( ~ spl15_2
| spl15_7 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f899,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(X0,bool,X1,sK1(X0,X1)))
| ~ hBOOL(hAPP(X0,bool,X1,X2)) ),
inference(resolution,[],[f666,f665]) ).
fof(f1185,plain,
! [X0,X1] : hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X1)),
inference(resolution,[],[f341,f409]) ).
fof(f1492,plain,
! [X0] :
( ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),X0))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),X0),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))) ),
inference(resolution,[],[f344,f519]) ).
fof(f1523,plain,
! [X0] :
( ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),sK1(fun(hoare_509422987triple(state),bool),hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),X0)) ),
inference(resolution,[],[f1492,f899]) ).
fof(f1538,definition,
( spl15_43
<=> ! [X0] : ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),X0)) ),
introduced(definition,[new_symbols(definition,[spl15_43])],[avatar_definition]) ).
fof(f1539,plain,
( ! [X0] : ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),X0))
| ~ spl15_43 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f1541,definition,
( spl15_44
<=> hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),sK1(fun(hoare_509422987triple(state),bool),hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))) ),
introduced(definition,[new_symbols(definition,[spl15_44])],[avatar_definition]) ).
fof(f1542,plain,
( ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),sK1(fun(hoare_509422987triple(state),bool),hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| spl15_44 ),
inference(avatar_component_clause,[],[f1541]) ).
fof(f1543,plain,
( spl15_43
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f1523,f1541,f1538]) ).
fof(f1563,plain,
( $false
| ~ spl15_43 ),
inference(resolution,[],[f1539,f1185]) ).
fof(f1576,plain,
~ spl15_43,
inference(avatar_contradiction_clause,[],[f1563]) ).
fof(f1581,plain,
( ! [X0] :
( ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),sK1(fun(hoare_509422987triple(state),bool),hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))))),X0))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),X0),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))) )
| spl15_44 ),
inference(resolution,[],[f1542,f344]) ).
fof(f1672,plain,
( ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| spl15_44 ),
inference(resolution,[],[f1581,f340]) ).
fof(f1714,plain,
( ~ hBOOL(hAPP(com,bool,wt,y))
| ~ spl15_6
| spl15_44 ),
inference(resolution,[],[f1672,f766]) ).
fof(f1726,plain,
( ~ spl15_7
| ~ spl15_6
| spl15_44 ),
inference(avatar_split_clause,[],[f1714,f1541,f765,f782]) ).
cnf(s1,plain,
( ~ spl15_1
| spl15_2 ),
inference(sat_conversion,[],[f752]) ).
cnf(s4,plain,
( ~ spl15_1
| ~ spl15_3
| spl15_6 ),
inference(sat_conversion,[],[f767]) ).
cnf(s5,plain,
spl15_3,
inference(sat_conversion,[],[f769]) ).
cnf(s6,plain,
spl15_1,
inference(sat_conversion,[],[f771]) ).
cnf(s9,plain,
( ~ spl15_2
| spl15_7 ),
inference(sat_conversion,[],[f797]) ).
cnf(s80,plain,
( spl15_43
| ~ spl15_44 ),
inference(sat_conversion,[],[f1543]) ).
cnf(s87,plain,
~ spl15_43,
inference(sat_conversion,[],[f1576]) ).
cnf(s117,plain,
( ~ spl15_6
| ~ spl15_7
| spl15_44 ),
inference(sat_conversion,[],[f1726]) ).
cnf(s125,plain,
~ spl15_44,
inference(rat,[],[s80,s87]) ).
cnf(s146,plain,
spl15_6,
inference(rat,[],[s4,s5,s6]) ).
cnf(s147,plain,
~ spl15_7,
inference(rat,[],[s117,s125,s146]) ).
cnf(s148,plain,
~ spl15_2,
inference(rat,[],[s9,s147]) ).
cnf(s151,plain,
$false,
inference(rat,[],[s1,s148,s6]) ).
fof(f1727,plain,
$false,
inference(avatar_sat_refutation,[],[s151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW474+5 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n003.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 14:08:57 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/1.00 % (1602905)Detected formulas, will run a generic FOF schedule.
% 0.67/1.00 % (1602916)dis-21_1_sil=8000:lcm=predicate:random_seed=3471446894: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)
% 0.67/1.00 % (1602916)First to succeed.
% 0.67/1.00 % (1602916)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1602905"
% 0.67/1.00 % (1602912)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=2703199581:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.67/1.00 % (1602913)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1616625440:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.67/1.00 % (1602914)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2973934598:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.67/1.00 % (1602915)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=614863181:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.67/1.00 % (1602910)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=1104798780:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.67/1.00 % (1602911)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=3184769027:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.67/1.00 % (1602913)Instruction limit reached!
% 0.67/1.00 % (1602913)------------------------------
% 0.67/1.00 % (1602913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.67/1.00 % (1602913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/1.00 % (1602913)CaDiCaL version: 2.1.3
% 0.67/1.00 % (1602913)Termination reason: Instruction limit
% 0.67/1.00 % (1602913)Termination phase: Saturation
% 0.67/1.00 % (1602913)Time elapsed: 0.060 s
% 0.67/1.00 % (1602913)Peak memory usage: 89 MB
% 0.67/1.00 % (1602913)Instructions burned: 110 (million)
% 0.67/1.00 % (1602914)Instruction limit reached!
% 0.67/1.00 % (1602914)------------------------------
% 0.67/1.00 % (1602914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.67/1.00 % (1602914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/1.00 % (1602914)CaDiCaL version: 2.1.3
% 0.67/1.00 % (1602914)Termination reason: Instruction limit
% 0.67/1.00 % (1602914)Termination phase: Saturation
% 0.67/1.00 % (1602914)Time elapsed: 0.068 s
% 0.67/1.00 % (1602914)Peak memory usage: 88 MB
% 0.67/1.00 % (1602914)Instructions burned: 119 (million)
% 0.67/1.00 % (1602915)Instruction limit reached!
% 0.67/1.00 % (1602915)------------------------------
% 0.67/1.00 % (1602915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.67/1.00 % (1602915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/1.00 % (1602915)CaDiCaL version: 2.1.3
% 0.67/1.00 % (1602915)Termination reason: Instruction limit
% 0.67/1.00 % (1602915)Termination phase: Saturation
% 0.67/1.00 % (1602915)Time elapsed: 0.087 s
% 0.67/1.00 % (1602915)Peak memory usage: 89 MB
% 0.67/1.00 % (1602915)Instructions burned: 140 (million)
% 0.67/1.00 % (1602916)Refutation found. Thanks to Tanya!
% 0.67/1.00 % SZS status Theorem for theBenchmark
% 0.67/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.10 % (1602916)------------------------------
% 2.79/1.10 % (1602916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.10 % (1602916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.10 % (1602916)CaDiCaL version: 2.1.3
% 2.79/1.10 % (1602916)Termination reason: Refutation
% 2.79/1.10 % (1602916)Time elapsed: 0.026 s
% 2.79/1.10 % (1602916)Peak memory usage: 90 MB
% 2.79/1.10 % (1602916)Instructions burned: 88 (million)
% 2.79/1.10 % (1602916)------------------------------
% 2.79/1.10 % (1602916)------------------------------
% 2.79/1.10 % (1602905)Success in time 0.334 s
% 2.79/1.10 % Vampire exiting
%------------------------------------------------------------------------------